+ 4/3*o**3 + 256/3 = 0.
-4
Let b(u) = 254*u**2 - 22*u + 10. Let j be b(2). Suppose 992*f - 20 = j*f. Factor -2/7*l**3 - 2/7*l**f + 0*l + 0.
-2*l**2*(l + 1)/7
Suppose -455 = 7*m + 511. Let f be -6 - (m/12 - -1). Find n such that f*n**2 + 3/4*n**3 - 3/4*n - 9/2 = 0.
-6, -1, 1
Let j(w) be the first derivative of 25*w**4/7 - 73420*w**3/21 - 29392*w**2/7 - 1680*w - 3197. Factor j(o).
4*(o - 735)*(5*o + 2)**2/7
Suppose 0 = -7*z + 844 - 816. Let p(d) be the third derivative of 0 + 0*d - 245/6*d**3 - 6*d**2 - 35/12*d**z - 1/12*d**5. Factor p(i).
-5*(i + 7)**2
Let d be ((-24)/216 - 1)/(2/176*-2). Find n such that -d*n - 242/9*n**2 - 200/9 = 0.
-10/11
Let t be (-456)/608*((-8)/(-28) - 82/189). Let i(w) be the second derivative of 1/30*w**5 + 0*w**2 + 0 + 0*w**3 + 4*w - t*w**4. Factor i(p).
2*p**2*(p - 2)/3
Find y such that -4*y**5 + 14*y**4 - 33*y**2 + 14*y**4 + 33*y**2 - 35*y**2 - 16*y**3 - 13*y**2 = 0.
-1, 0, 2, 6
Let c(s) be the first derivative of -80*s**2 + 1280*s + 5/3*s**3 - 15. Suppose c(w) = 0. Calculate w.
16
Let v(l) = -l**2 - 122*l. Let y be v(0). Let t(m) be the first derivative of y*m**5 + 0*m + 0*m**3 - 2*m**4 + 2*m**2 + 2/3*m**6 + 13. Factor t(w).
4*w*(w - 1)**2*(w + 1)**2
Let l(s) be the second derivative of -3 + s - 1/18*s**3 + 2/9*s**4 + 1/60*s**5 - 4/3*s**2. Suppose l(f) = 0. What is f?
-8, -1, 1
Let k(u) = 2*u**3 - 14*u**2 - 6*u - 5. Let s = 31 + -46. Let n(i) = i**3 - 7*i**2 - 4*i - 2. Let o(h) = s*n(h) + 6*k(h). Factor o(w).
-3*w*(w - 8)*(w + 1)
Let z(p) = 3*p**3 - 48*p**2 + 40*p. Let u(h) = 8*h**3 - 120*h**2 + 100*h. Let r be (60/45)/(4/(-36)). Let x(i) = r*z(i) + 5*u(i). Let x(v) = 0. What is v?
0, 1, 5
Let y be (-15)/(-15)*(4 - (-4)/(-4)). Solve -26*v**4 + 35*v + 30*v**2 - 14*v**5 - 14*v**4 + 10 - 20*v**y - v**5 = 0.
-1, -2/3, 1
Let x(s) be the first derivative of 3*s**4/4 - 10*s**3 + 81*s**2/2 - 54*s - 129. Determine k, given that x(k) = 0.
1, 3, 6
Suppose 0 = 11434*a - 11240*a - 388. What is q in 0*q**a + 1/4*q**4 + 0 + 0*q - 1/4*q**3 = 0?
0, 1
Suppose -c = 4*c - 105. Suppose -3*x = 4*x - c. Suppose -6*j**2 + 4*j**4 + 36*j - 12*j**3 + 2*j**4 + 27 + 0*j**4 - x*j**4 = 0. What is j?
-1, 3
Let c(l) = -37*l**2 - 100*l - 181. Let m(i) = 27*i**2 + 74*i + 136. Let x(g) = -8*c(g) - 11*m(g). Let x(k) = 0. What is k?
-8, -6
What is a in 784966 + 2*a**2 + a**2 - 784966 - 6*a = 0?
0, 2
Suppose 1658124*w + 57 = 1658143*w. Factor 2/5*v**w + 16/5*v - 8/5 - 2*v**2.
2*(v - 2)**2*(v - 1)/5
Let s(c) = -54*c + 1676. Let t be s(31). Let r(p) be the second derivative of 0 + 9/10*p**3 - 9*p + 729/100*p**5 + 81/20*p**4 + 1/10*p**t. Solve r(j) = 0.
-1/9
Suppose 101 - 1 - 12 = 22*q. Let f(r) be the third derivative of -1/4*r**3 + 1/240*r**6 + 0*r + 1/40*r**5 + 0 - 1/48*r**q - 19*r**2. Factor f(o).
(o - 1)*(o + 1)*(o + 3)/2
Let j be ((-4365)/(-1940))/((-5)/((-120)/99)). Suppose -20/11*y**3 + 14/11*y**4 - j + 20/11*y - 8/11*y**2 = 0. What is y?
-1, 3/7, 1
Let a be (160/70)/8*27/(-6)*44/(-99). Factor a*i - 13/7*i**2 - 13/7*i**3 + 4/7*i**4 + 0.
i*(i - 4)*(i + 1)*(4*i - 1)/7
Let q(k) be the third derivative of -k**6/1020 - k**5/170 + k**4/204 + k**3/17 - 38*k**2 - 3*k. Solve q(u) = 0.
-3, -1, 1
Factor -8 + 33*v**4 - 41*v - 19 + 63 + 183*v**2 - 91*v - 3*v**5 - 117*v**3.
-3*(v - 6)*(v - 2)*(v - 1)**3
Determine d, given that -10/17*d**3 + 14/17*d**2 + 0 - 8/17*d**4 + 4/17*d = 0.
-2, -1/4, 0, 1
Let g(a) = -19*a**3 - 44*a**2 + 211*a + 276. Let m(p) = -12*p**3 - 30*p**2 + 141*p + 184. Let s(o) = -5*g(o) + 8*m(o). Factor s(y).
-(y - 4)*(y + 1)*(y + 23)
Factor -2*p**5 + 176*p**3 + 789489*p - 789489*p + 6*p**4.
-2*p**3*(p - 11)*(p + 8)
Suppose -153*t + 24 = -152*t + 5*i, 3*t + 3*i - 24 = 0. Let a(k) be the second derivative of 0*k**3 - 1/4*k**t + 3/2*k**2 + 8*k + 0. Find y such that a(y) = 0.
-1, 1
Let y(r) be the second derivative of 13*r**6/30 - 223*r**5/20 - 1019*r**4/12 - 219*r**3/2 + 63*r**2 - 2212*r. What is q in y(q) = 0?
-3, -1, 2/13, 21
Let k(o) be the second derivative of 5*o**6/39 + 28*o**5/13 - 1361*o**4/78 + 316*o**3/13 - 180*o**2/13 - 1827*o. Suppose k(x) = 0. Calculate x.
-15, 2/5, 3
Let z(g) = 34*g - 1598. Let u be z(47). Let o(h) be the first derivative of h**2 + h - 1/2*h**4 + 3 - 1/5*h**5 + u*h**3. Factor o(r).
-(r - 1)*(r + 1)**3
Let n(z) be the first derivative of -z**4/6 + 18*z**3 - 729*z**2 + 50*z + 28. Let r(l) be the first derivative of n(l). Factor r(x).
-2*(x - 27)**2
Let d(q) be the first derivative of 1/24*q**6 + 41/20*q**5 + 273/8*q**4 - 343*q**2 + 126 + 0*q + 539/3*q**3. Factor d(o).
o*(o - 1)*(o + 14)**3/4
Let q(g) = 5*g**2 - 1632*g + 4. Let f be q(0). Find b such that -9/4*b**5 - 609/4*b + 53/2*b**f - 200*b**2 - 87/2*b**3 - 49/2 = 0.
-1, -2/9, 7
Let j(k) = -k**3 - k**2. Let x(t) = -6*t**3 + 14*t**2 - 12*t. Suppose 0 = -6*u - 52 + 40. Let s(r) = u*j(r) + x(r). Factor s(l).
-4*l*(l - 3)*(l - 1)
Let z(a) be the first derivative of -5*a**3 + 0*a + 3*a**5 + 0*a**2 + 5/6*a**6 - 5/4*a**4 - 69. Factor z(h).
5*h**2*(h - 1)*(h + 1)*(h + 3)
Let o(c) be the second derivative of -4*c**4/3 - 26*c**3 - 112*c**2 + 6895*c. Suppose o(b) = 0. What is b?
-8, -7/4
Let b(i) = 83*i**2 + 1551*i + 1600. Let g(c) = -15*c**2 - 311*c - 320. Let h(w) = 6*b(w) + 33*g(w). Determine t, given that h(t) = 0.
-1, 320
Suppose 0*r - 3 = 4*o + r, -o - r = 3. Suppose 2*g = 3*w - 19, 2*w - 5*g + 2*g - 21 = o. What is i in -14*i + 18*i - w*i**3 - i**3 = 0?
-1, 0, 1
Factor -487203/4*d - 1/4*d**3 - 1395/4*d**2 - 485809/4.
-(d + 1)*(d + 697)**2/4
What is q in 140*q - 535/3*q**2 + 5/3*q**4 + 980/3 + 10*q**3 = 0?
-14, -1, 2, 7
Let v(k) be the first derivative of -49*k**4/12 + 238*k**3/9 + 160*k**2/3 + 32*k + 890. Factor v(s).
-(s - 6)*(7*s + 4)**2/3
Let h(u) be the first derivative of -22/3*u - 35/6*u**2 - 14/9*u**3 - 1/12*u**4 - 189. Factor h(w).
-(w + 1)*(w + 2)*(w + 11)/3
Suppose 0 = -9*c + 14*c - 5*w - 190, -150 = -5*c - 5*w. Let j be (24/18)/(c/3). Determine r, given that -20/17 - j*r**2 + 14/17*r = 0.
2, 5
Let -8/9*g**2 + 964/3 - 2884/9*g**4 - 5780/9*g + 1928/3*g**3 - 4/9*g**5 = 0. Calculate g.
-723, -1, 1
Suppose 16/9*x**2 + 0 + 14/9*x**3 + 0*x - 2/9*x**4 = 0. What is x?
-1, 0, 8
Let x(g) be the third derivative of 13/90*g**6 + 4/15*g**5 + g**2 + 2/315*g**7 + 0 + 0*g**4 - 7*g + 0*g**3. Let x(i) = 0. What is i?
-12, -1, 0
Let u(d) = 2*d**2 + 241*d - 5141. Let m be u(-139). Factor 0 - n - 5/4*n**m - 1/4*n**3.
-n*(n + 1)*(n + 4)/4
Factor -1/6*t**5 - 15*t**4 + 0 + 0*t + 0*t**2 - 675/2*t**3.
-t**3*(t + 45)**2/6
Let z = 1493 - 1013. Determine s so that -126*s**4 + 89*s**4 - 16*s - 143*s**4 + 51*s + z*s**2 - 428*s**3 + 109*s - 16*s**5 = 0.
-6, -1/4, 0, 1
Let r be 94/4*3/42*(-26544)/(-1106). Factor -207646/7 + 2/7*f**3 - r*f**2 + 13254/7*f.
2*(f - 47)**3/7
Solve -9212*h - 2*h**3 - 21*h**2 - 417*h**2 + 5510 + 4094 - 2*h**3 + 50*h**2 = 0.
-49, 1
Let x(v) be the second derivative of 1/60*v**5 - 31*v - v**2 - 2/3*v**3 + 0 + 1/8*v**4. Let u(k) be the first derivative of x(k). Determine p so that u(p) = 0.
-4, 1
Let p(v) = 9*v**3 - 136*v**2 - 163*v + 303. Let m(d) = -2*d**3 + 34*d**2 + 40*d - 75. Let n(f) = 13*m(f) + 3*p(f). Factor n(j).
(j - 1)*(j + 2)*(j + 33)
Let c(j) = -2*j**3 - 3*j**2 + 3*j + 4. Suppose z - 554 = -555. Let n be c(z). Determine t so that n - 1/2*t**4 + 0*t - 1/8*t**5 - 1/2*t**3 + 0*t**2 = 0.
-2, 0
Let s(v) be the first derivative of v**6/40 - 3*v**5/16 + 3*v**4/8 + 126*v - 210. Let r(w) be the first derivative of s(w). Suppose r(i) = 0. What is i?
0, 2, 3
Let r be (-1 + -2)/3*4 - -13. Suppose 5*c + 2*a - 15 = 0, 3*c + 0*c - r = -4*a. Factor 0*j**5 - 34*j**2 + 5*j**c - 6*j**4 + 34*j**2 + j**5.
j**3*(j - 5)*(j - 1)
Let b(l) be the third derivative of 38*l**2 + 1/270*l**6 + 13/18*l**4 + 0 - 7/45*l**5 + 0*l - 38/27*l**3. Factor b(i).
4*(i - 19)*(i - 1)**2/9
Let v(x) be the first derivative of x**4/14 + 94*x**3/21 + 528*x**2/7 - 1152*x/7 + 541. What is a in v(a) = 0?
-24, 1
Factor 784/3 - 724/3*j**2 + 4984/3*j + 26/3*j**3.
2*(j - 14)**2*(13*j + 2)/3
Let z(n) be the first derivative of 2*n**6/3 - 32*n**5/5 + 20*n**4 - 40*n**3/3 - 42*n**2 + 72*n + 773. Let z(k) = 0. What is k?
-1, 1, 2, 3
Let b be (6/57 - (-10 - 1486728/570)) + 6. Solve 1458/5*u**3 + 2/15*u**5 - 54/5*u**4 + 0 + 0*u - b*u**2 = 0.
0, 27
Let -88/3 - 17/3*t**2 + 106/3*t - 1/3*t**3 = 0. What is t?
-22, 1,