 208*v**2 + 12*v - 217*v**2. Let s(x) = x**2 - x - 3. Let w(z) = -2*l(z) - 14*s(z). Suppose w(c) = 0. Calculate c.
0, 5/2
Suppose -198*b + 1405 + 10*b**2 + 1230 - 2227 - 13*b**2 = 0. What is b?
-68, 2
Let x(h) be the second derivative of h**4/4 - 15*h**3 + 627*h**2/2 + 2492*h. Determine g, given that x(g) = 0.
11, 19
Let d be 1 + (-3)/3 + 6/3. Factor 321 + 1407 + 58*y**2 - 55*y**d + 144*y.
3*(y + 24)**2
Let y = -8261/145 + -1474/29. Let x = 108 + y. Factor -x*n**2 + 0*n + 0.
-n**2/5
Let u(f) be the second derivative of f**5/330 - 37*f**4/33 + 5476*f**3/33 + 59*f**2 + 241*f. Let w(p) be the first derivative of u(p). Factor w(h).
2*(h - 74)**2/11
Let d(r) be the first derivative of 0*r**2 + 2/3*r**4 - 14*r - 1/3*r**3 - 5/12*r**6 + 13 - 1/8*r**5. Let q(l) be the first derivative of d(l). Factor q(y).
-y*(y + 1)*(5*y - 2)**2/2
Let g(c) be the third derivative of c**7/70 + 311*c**6/40 + 6006*c**5/5 - 3042*c**4 - 12*c**2 + 5*c. Factor g(a).
3*a*(a - 1)*(a + 156)**2
Let u(a) be the first derivative of 3*a**4/2 + 13*a**3 + 12*a**2 - 144*a - 2098. Factor u(k).
3*(k + 4)**2*(2*k - 3)
Let d(f) be the third derivative of 3*f**7/280 - 133*f**6/480 - 29*f**5/40 - f**4/3 + 111*f**2 + 2. Factor d(v).
v*(v - 16)*(v + 1)*(9*v + 2)/4
Factor 468*m - 1952*m**2 + 1020 + 7*m**3 + 3862*m**2 - 10*m**3 - 1937*m**2.
-3*(m - 10)*(m + 2)*(m + 17)
Let f(k) be the first derivative of k**4/8 - 65*k**3/6 + 127*k**2/4 - 63*k/2 + 905. Factor f(l).
(l - 63)*(l - 1)**2/2
Let g(c) = 4*c**3 - 3132*c**2 + 3123*c - 20. Let d(t) = -2*t**3 + 1566*t**2 - 1562*t + 8. Let n(l) = 5*d(l) + 2*g(l). Factor n(s).
-2*s*(s - 782)*(s - 1)
Let i = -700 - -93. Let k = 610 + i. Suppose 2/3 + 3*s - 2/3*s**2 - k*s**3 = 0. Calculate s.
-1, -2/9, 1
Factor -112/3 - 1/3*y**2 - 58/3*y.
-(y + 2)*(y + 56)/3
Let h(y) be the first derivative of y**5/5 - 3*y**4/2 + 8*y**3/3 + 3*y**2 - 9*y + 4852. Determine j so that h(j) = 0.
-1, 1, 3
Let p(l) be the first derivative of -l**4/12 + 46*l**3/9 + 49*l**2/6 - 94*l/3 - 1009. Factor p(y).
-(y - 47)*(y - 1)*(y + 2)/3
Let n(u) be the first derivative of 7/15*u**3 + 1/4*u**4 + 0*u - 1 - 4/25*u**5 - 1/5*u**2. Find r such that n(r) = 0.
-1, 0, 1/4, 2
Suppose 3842/13 - 2/13*x**3 + 7682/13*x + 3838/13*x**2 = 0. What is x?
-1, 1921
Let b(f) be the third derivative of -f**8/392 + 13*f**7/49 + 207*f**6/70 + 422*f**5/35 + 142*f**4/7 - 4849*f**2. Factor b(o).
-6*o*(o - 71)*(o + 2)**3/7
Let u be 12 - (6 + (13 - 21))/((-36)/171). Let h = 8 + -6. Let 0 + h*q**3 + 1/2*q**4 + u*q**2 + q = 0. Calculate q.
-2, -1, 0
Solve 2/3*s**2 + 2468642/3 - 4444/3*s = 0 for s.
1111
Let m(g) be the first derivative of 2*g**3/33 - 1104*g**2/11 + 609408*g/11 - 2743. Factor m(o).
2*(o - 552)**2/11
Let m(o) be the second derivative of -o**4/72 + 23*o**3/12 - 3*o + 82. Determine b, given that m(b) = 0.
0, 69
Solve -1884/7 + 4/7*v**3 + 3772/7*v - 1892/7*v**2 = 0.
1, 471
Let p(d) = -2*d**2 + 83*d - 132. Let k be p(42). Let x = k - -176. Factor -2/13*f + 2/13*f**3 + 0 + 0*f**x.
2*f*(f - 1)*(f + 1)/13
Let q(o) be the third derivative of 0*o - 6/5*o**4 + 0 - 22*o**2 + 1/75*o**5 + 216/5*o**3. Determine d so that q(d) = 0.
18
Let c be 56/35 + (112/630 - (-4)/18). Let i(g) be the first derivative of 0*g + 0*g**c + 2/9*g**3 - 13. Find k, given that i(k) = 0.
0
Suppose 27/2*q**4 - 51/2 + 3/4*q**5 - 42*q**2 + 21/2*q**3 - 261/4*q = 0. Calculate q.
-17, -1, 2
Suppose 0 = 14*h - 34 - 92. Suppose -5*o = -4*v - 0*o + 11, 5 = 5*o. Determine t, given that -5*t**2 - h*t**4 + 9*t**4 + v*t**4 + t**4 = 0.
-1, 0, 1
Let v(l) be the first derivative of -2*l**2 - 6*l + 34 + 2/3*l**3. Determine n so that v(n) = 0.
-1, 3
Let l(i) be the first derivative of i**4/44 - 95*i**3/66 - 16*i**2/11 + 164*i - 53. Let f(p) be the first derivative of l(p). Factor f(g).
(g - 32)*(3*g + 1)/11
Let r be 180*2/(-16)*-4. Suppose -u - 4*u = -r. Factor -48*p**2 + 30*p**3 + 3*p - p - u*p**4 + 34*p**2.
-2*p*(p - 1)*(3*p - 1)**2
Let z(p) be the first derivative of -p**6/27 - 4*p**5/45 + 119*p**4/18 - 208*p**3/9 + 8145. Solve z(o) = 0 for o.
-13, 0, 3, 8
Let s be 38/(-285)*11*-5 - 7. Let -8/3 - s*h**2 + 3*h = 0. Calculate h.
1, 8
Let p(i) be the second derivative of 11*i**5/30 + 80*i**4/27 + 173*i**3/27 - 10*i**2/3 - 8174*i. Factor p(s).
2*(s + 2)*(s + 3)*(33*s - 5)/9
Suppose 2448 + 224 + 4*m**2 - 273*m - 373*m - 18*m + 548 = 0. Calculate m.
5, 161
What is t in 1/8*t**4 + 1/2*t**3 - 11/2*t**2 + 72 - 12*t = 0?
-6, 4
Let t(k) be the second derivative of 19/2*k**4 - 3*k - 1/14*k**7 - 15/4*k**5 + 4/5*k**6 - 14*k**3 + 4 + 12*k**2. Factor t(h).
-3*(h - 2)**3*(h - 1)**2
Let d(r) be the second derivative of -r**6/6 + 35*r**5/4 - 65*r**4 + 150*r**3 - 12196*r. Factor d(z).
-5*z*(z - 30)*(z - 3)*(z - 2)
Let n be (-10)/25 - (-6360)/25. Solve -328*y - 567*y**4 - 1017*y**2 + n*y**3 - 43*y**5 - 36 - 6*y**5 - 1497*y**3 = 0 for y.
-9, -1, -2/7
Let s(k) be the second derivative of -k**8/1344 + k**6/480 - 55*k**2/2 - k + 25. Let m(p) be the first derivative of s(p). Factor m(a).
-a**3*(a - 1)*(a + 1)/4
Find m, given that 232*m - m**3 + 21*m**2 + 35*m + 99*m**2 + 5*m**3 + 597*m = 0.
-18, -12, 0
Let p(d) be the second derivative of -d**9/3780 - d**8/240 + 4*d**7/315 - 2*d**4/3 + 8*d + 2. Let c(i) be the third derivative of p(i). Factor c(n).
-4*n**2*(n - 1)*(n + 8)
Let -80 + 92/5*v + 2/5*v**2 = 0. What is v?
-50, 4
Suppose 68*o - 75*o + 14 = 0. Let s be (26 + -22)/(o + (2 - -14)). Factor s*u**3 + 0*u**2 + 4/9 - 2/3*u.
2*(u - 1)**2*(u + 2)/9
Let j be (24/(-10))/(-4) + 0. Let k be 53/((-8109)/170)*144/(-80). Solve 9/5*d + j + 9/5*d**k + 3/5*d**3 = 0.
-1
Suppose -2*g + 34 = 13*l - 15*l, l - 58 = -4*g. Determine z, given that 34 - 36*z**3 + 79 + g - 4*z**4 - 88*z**2 = 0.
-4, -2, 1
Suppose -2*i + 3*i - 3 = 0. Let b(x) = -1300*x + 3900. Let c be b(3). Factor c*h**2 + 1/3*h**i - 2/3 - h.
(h - 2)*(h + 1)**2/3
Let -624 - 219/5*f**2 - 1608/5*f - 3/5*f**3 = 0. Calculate f.
-65, -4
Suppose 229*c + 51 - 967 = 0. Let h(u) be the second derivative of -1/84*u**7 + 1/2*u**2 + 2/3*u**c + 0 - 3/4*u**3 - 25*u - 7/20*u**5 + 1/10*u**6. Factor h(i).
-(i - 2)*(i - 1)**4/2
Let s be (((-39)/455)/1)/(11 + 960/(-84)). What is t in 9/5*t**3 + 0 - 2/5*t**2 + 2/5*t**4 - 8/5*t - s*t**5 = 0?
-2, -1, 0, 1, 4
Factor -g**5 - 4*g**5 - 3149*g**4 - 84872965*g - 994590*g**3 + 475*g**4 - 85863700*g**2 - 1186*g**4.
-5*g*(g + 1)*(g + 257)**3
Let u(a) = 14*a**2 - 20*a - 88. Let f(m) = 79*m**2 - 122*m - 528. Let c(q) = -6*f(q) + 34*u(q). Factor c(z).
2*(z + 4)*(z + 22)
Let u(k) = 241*k**3 + 777*k**2 - 25732*k - 135166. Let r(h) = -240*h**3 - 774*h**2 + 25734*h + 135165. Let n(b) = -2*r(b) - 3*u(b). Factor n(p).
-3*(p - 11)*(9*p + 64)**2
Let i(c) be the third derivative of -c**6/15 + 173*c**5/60 + 125*c**4/12 + 23*c**3/2 - 1205*c**2 + 2. Factor i(o).
-(o - 23)*(o + 1)*(8*o + 3)
Let p(w) be the third derivative of -5/108*w**4 + 2/9*w**3 + 1/540*w**6 - 2 + 0*w - 1/135*w**5 + 31*w**2. Factor p(m).
2*(m - 3)*(m - 1)*(m + 2)/9
Find k such that 8*k**2 - 3*k**4 + 3/2*k**3 + 0 - 1/2*k**5 - 6*k = 0.
-6, -2, 0, 1
Suppose q + 0*q - 4*f - 5 = 0, -3*f = 15. Let t be (-10)/(-8) + (945/(-36))/q. Factor 0 + 3/4*h**2 + 3/8*h**t + 3/8*h.
3*h*(h + 1)**2/8
Factor -659*w + w**2 + 1974*w - 681*w.
w*(w + 634)
Let w be ((-6)/10)/(2 - -5 - 869/110). Factor 0 + 26/3*y + w*y**2.
2*y*(y + 13)/3
Let y = 3846481/2051448 + -2/256431. Determine g, given that 129/8*g**3 + 21/2*g**4 + 0 + y*g**5 - 9/2*g + 3*g**2 = 0.
-3, -2, -1, 0, 2/5
Factor -7*r - 93*r + 11*r**3 + 24*r**3 + 4*r**4 + r**3 - 12*r**2 + 72.
4*(r - 1)**2*(r + 2)*(r + 9)
Let v(l) = 14*l + 102. Let u be v(-7). Factor -39*t**3 - 403*t**2 + t**5 - 7*t**5 + 439*t**2 + 3*t**5 + 18*t**u - 12*t.
-3*t*(t - 2)**2*(t - 1)**2
Factor 98816 + 28*q**3 + 970*q**2 - 33*q**3 - 48000*q - 6656.
-5*(q - 96)**2*(q - 2)
Let c(a) = 2*a**2 - 18*a + 23. Let o be c(15). Suppose 3*i = i + 3*n + 131, 2*n - o = -3*i. Let 0*x**3 - 75 + 2*x**2 + i - 4*x + x**3 = 0. What is x?
-2, 2
Let f(p) = p**3 + 11*p**2 + 6*p + 12. Let t be f(-10). Factor 11 - 37 - t*h - 10 - 1968*h**2 + 1952*h**2 - 8*h.
-4*(h + 3)*(4*h + 3)
Let i = -228569 + 228572. Determine f, given that 56/9 + 124/9*f**i + 32/9*f - 74/3*f**2 + 10/9*f**4 = 0.
-14, -2/5, 1
Suppose -10/3*k - 11/3 + 1/3*k**2 = 0. Calculate k.
-1, 11
Let g be (-21)/108 - (-11 - 164