c + 75. Let s be f(10). Let p(d) be the first derivative of 0*d + 0*d**2 - 4 - 1/5*d**s - 1/2*d**4 - 1/3*d**3. What is n in p(n) = 0?
-1, 0
Let z(p) = -20*p - 37. Let t be z(-2). What is a in -2*a**4 + 37*a**3 - 2*a + 2*a + 3*a**2 + 5*a**4 - 43*a**t = 0?
0, 1
Solve -1/3*a**2 + 110*a - 9075 = 0 for a.
165
Let c = -90 - -133. Let w = -36 + c. Suppose -67*m**3 + 57*m**3 - 52*m**2 + 3 - w - 4 - 50*m = 0. What is m?
-4, -1, -1/5
Let w(f) = 32*f**3 - 5*f**2 + 7*f + 9. Let r be w(2). Let m = r + -2847/11. Solve 2/11*p**4 - 4/11*p**2 + 4/11*p**3 + 2/11 - 2/11*p**5 - m*p = 0 for p.
-1, 1
Factor -2024/5*q - 1/5*q**2 - 1024144/5.
-(q + 1012)**2/5
Suppose 358 = 33*z + 15*z - 294 + 460. Let h = 1/3 - -1/6. Factor o**z - 1 - 7/2*o**3 + 3*o**2 + h*o.
(o - 2)*(o - 1)**2*(2*o + 1)/2
Let h(t) = 8*t**3 - 202*t**2 + 786*t - 180. Let w(b) = 4*b**2 - b + 1. Let m(q) = -h(q) + 4*w(q). Factor m(j).
-2*(j - 23)*(j - 4)*(4*j - 1)
Factor -2/5*w**4 + 4/5*w**2 + 0*w - 2/5 + 0*w**3.
-2*(w - 1)**2*(w + 1)**2/5
Let g(i) be the first derivative of -1/2*i**3 + 1/3*i**2 + 7/36*i**4 - 23*i + 20. Let s(j) be the first derivative of g(j). Find p, given that s(p) = 0.
2/7, 1
Suppose -3*z + n + 46 = 0, 5*z + 5*n + 6 - 56 = 0. Suppose -3*g + z = -1. Factor 3*t**g - 6*t**4 + 2*t**3 + 4*t**3 - 2*t**3 - t**3.
3*t**3*(t - 1)**2
Let a(z) be the first derivative of 0*z - 65/2*z**2 + 20*z**3 + 5/4*z**4 - 221. Factor a(r).
5*r*(r - 1)*(r + 13)
Suppose 124*o - 158*o**4 + 5*o**3 + 42*o**4 - 54*o**2 + 38*o**4 + 79*o**4 - 88 = 0. Calculate o.
-11, 2
Let n(b) = 752*b**2 + 668*b - 652. Let s(u) = 63*u**2 + 1. Let w(r) = n(r) - 12*s(r). Let w(z) = 0. What is z?
1, 166
Factor -23*d**3 + 5772369*d**2 + d**4 - 5772201*d**2 + 0*d**4 - 396*d.
d*(d - 11)*(d - 6)**2
Let u(o) be the first derivative of 0*o - 4/45*o**5 - 4/9*o**2 - 5/18*o**4 + 22/27*o**3 - 13. Solve u(q) = 0.
-4, 0, 1/2, 1
Let t(c) be the first derivative of 31 + 0*c + 0*c**2 - 2/39*c**3. What is d in t(d) = 0?
0
Let o(t) be the second derivative of -2*t**5/5 - 7*t**4/2 - 14*t**3/3 + 24*t**2 - 178*t - 6. Factor o(l).
-2*(l + 2)*(l + 4)*(4*l - 3)
Let j(u) be the third derivative of u**10/756000 + u**9/33600 + 133*u**5/60 + 58*u**2. Let n(s) be the third derivative of j(s). Suppose n(m) = 0. Calculate m.
-9, 0
Let z(g) be the first derivative of -g**6/1440 + 13*g**5/720 - g**4/18 + 113*g**3/3 + 45. Let w(s) be the third derivative of z(s). Factor w(q).
-(q - 8)*(3*q - 2)/12
Suppose -y - 26203 + 223 = 0. Let w = y + 182372/7. Factor -512/7*d - 32/7*d**3 - 2/7*d**4 - 192/7*d**2 - w.
-2*(d + 4)**4/7
Let f = 565400/9 - 62820. Factor 8/9 + 4/9*h - 32/9*h**2 + f*h**3.
4*(h - 1)**2*(5*h + 2)/9
Suppose 1/6*v**5 + 0 + 0*v + 0*v**2 - 14/3*v**4 + 30*v**3 = 0. What is v?
0, 10, 18
Let s(l) be the third derivative of 12*l + 0 - 3*l**2 + 0*l**4 + 1/175*l**7 + 0*l**3 + 3/25*l**5 - 1/20*l**6. Suppose s(i) = 0. Calculate i.
0, 2, 3
Let n = 60781 + -60781. Factor n - 2/11*b**3 + 10/11*b - 8/11*b**2.
-2*b*(b - 1)*(b + 5)/11
Let z = 30 + -16. Let o be (-18)/(-28) - (-8 - (-114)/z). Factor -1/2*k**3 + 3/2 + 5/2*k + o*k**2.
-(k - 3)*(k + 1)**2/2
Let c(f) = 1549*f**3 - 4*f**2 - 13*f - 12. Let k be c(-1). Let b = k + 1552. Factor 8/7*o**3 - 2/7*o + b + 6/7*o**2.
2*o*(o + 1)*(4*o - 1)/7
Let f(o) = o**3 + 30*o**2 - 97*o + 80. Let s be f(-33). Let q(m) be the first derivative of 0*m + 4/3*m**2 + s + 4/9*m**3. Factor q(g).
4*g*(g + 2)/3
Let a(s) be the first derivative of -3/5*s**5 + 0*s + 6*s**4 + 0*s**2 - 7*s**3 + 50. Find x, given that a(x) = 0.
0, 1, 7
Let k(r) be the third derivative of r**6/30 - 293*r**5/15 + 7105*r**4/2 + 14406*r**3 + 245*r**2. Find o such that k(o) = 0.
-1, 147
Let i be ((-6 + -12)/(-6) + -33)*-1. Factor 2*r**2 + 11*r + 14*r + i*r + 3*r**2 + 120.
5*(r + 3)*(r + 8)
Let b(p) be the third derivative of -p**7/504 - p**6/144 + p**5/12 - p**4/12 + 7*p**3/6 + 26*p**2 + 3. Let x(n) be the second derivative of b(n). Factor x(i).
-5*(i - 1)*(i + 2)
Let a(s) be the first derivative of 41/20*s**4 + 40*s**2 + 1/25*s**5 + 0*s + 88/3*s**3 - 81. Suppose a(z) = 0. What is z?
-20, -1, 0
Let s(t) be the second derivative of 0*t**2 + 5/42*t**3 - 1/84*t**4 - 3 + 2*t. Suppose s(n) = 0. What is n?
0, 5
Suppose -219*w + 5*w + 66 + 312 = -264. Factor -35/2*x**2 + 1083/2 - 1/2*x**w - 247/2*x.
-(x - 3)*(x + 19)**2/2
Suppose -2*q = -3*s + 1 - 14, 6*q - 15 = s. Factor -2*d - 3*d**3 - 78*d**q - 27*d + 150 - 40*d.
-3*(d - 1)*(d + 2)*(d + 25)
Let s(a) be the first derivative of 6*a**7 + 157*a**6/10 - 69*a**5/10 - 13*a**4 - 4*a**3 + 103*a + 35. Let h(l) be the first derivative of s(l). Solve h(n) = 0.
-2, -2/7, -1/4, 0, 2/3
Let s(l) = -7*l**3 + 64*l. Let p(h) = -15*h**3 + h**2 + 136*h. Let d(i) = -6*p(i) + 13*s(i). Suppose d(t) = 0. Calculate t.
-8, 0, 2
Let a(u) be the third derivative of u**7/105 - u**6/60 - 43*u**5/30 + 85*u**4/12 - 14*u**3 - 1714*u**2. Factor a(f).
2*(f - 6)*(f - 1)**2*(f + 7)
Let f(o) be the second derivative of -12150*o**6/7 - 52245*o**5/7 + 1710*o**4 - 3224*o**3/21 + 48*o**2/7 + 144*o + 2. Let f(b) = 0. Calculate b.
-3, 2/45
Let g(u) be the first derivative of -2*u**3/3 - 2*u + 15. Let s(r) = -21*r**2 - 24*r + 21. Let y(b) = -12*g(b) + s(b). Let y(k) = 0. What is k?
3, 5
Let v = -53565/8 - -6684. Let t = v - -359/24. Suppose 2/3 + 2*g**2 + t*g**3 - 10/3*g - 8/3*g**4 = 0. Calculate g.
-1, 1/4, 1
Let t(f) be the third derivative of 0*f + 392/15*f**3 - 7/15*f**4 + 1/300*f**5 - 82*f**2 + 0. Determine v so that t(v) = 0.
28
Let l(c) = -c + 3. Let o = 395 + -392. Let r be l(o). Find s such that r + s - s**3 + 3/2*s**2 = 0.
-1/2, 0, 2
Let b = 9173/3 + -3055. Let p(x) be the second derivative of 14*x + b*x**3 + 0 + 0*x**5 - 1/15*x**6 + x**4 + 3*x**2. Find a such that p(a) = 0.
-1, 3
Let l = -11568 + 2776321/240. Let o(p) be the third derivative of 0*p**3 + 0 + 1/24*p**4 - 3*p**2 + l*p**5 + 0*p. Factor o(v).
v*(v + 4)/4
Let u = -199 - -228. What is k in -6*k - 68 + u*k**2 + 15*k**2 - 24*k - 42*k**2 = 0?
-2, 17
Let i(w) = -2*w**2 - 2*w - 1. Let v(h) be the first derivative of -11*h**3/3 + 7*h**2/2 + 3*h - 64. Let r(b) = -12*i(b) + 4*v(b). What is s in r(s) = 0?
-2/5, 3
Let w = 476 + -3328/7. Let l = 316/35 + w. Factor -144/5 - 4/5*q**2 + l*q.
-4*(q - 6)**2/5
Solve -136/3*k - 16 + 30*k**3 - 14/3*k**5 - 32/3*k**4 + 140/3*k**2 = 0 for k.
-3, -2, -2/7, 1, 2
Factor -710 - 115*o - 747 + 2901 + 3*o**3 - 736 - 774 - 22*o**2.
(o - 11)*(o + 3)*(3*o + 2)
Let z(j) be the second derivative of -226*j - 86/3*j**3 + 84*j**2 + 0 + 1/3*j**4. Let z(a) = 0. What is a?
1, 42
Let q = -1098 - -1101. Suppose -w + 2*w - 8 = -g, q*g + 4 = 4*w. Factor 98/9*x**3 + 0 + 0*x - 28/9*x**g + 0*x**2 + 2/9*x**5.
2*x**3*(x - 7)**2/9
Let z be -2*(-2)/(-4)*6/(-2). Let m be -8*(-2 - 114/(-60)). Find q, given that 48/5*q - m*q**4 - 16/5 + 24/5*q**z - 52/5*q**2 = 0.
1, 2
Suppose 2*l + 6 = v, 145*v - 150*v + 30 = -4*l. Let u(p) be the first derivative of -3/2*p**2 - 2/3*p**3 + 1/6*p**v + 1/2*p**4 + 3/5*p**5 + 10 - p. Factor u(h).
(h - 1)*(h + 1)**4
Let n = 15/4382 - -43685/39438. Find z, given that -44/3*z**2 + n*z**3 - 16/9 + 50/9*z**4 + 88/9*z = 0.
-2, 2/5, 1
Let n(x) = -x**3 + 9*x**2 - 9*x + 20. Let y be n(8). Let m be 30/(9/y*2). Factor -3*c**3 + 55*c**4 - 27*c**3 - 62*c**2 - m*c - 15*c**3 - 58*c**2.
5*c*(c - 2)*(c + 1)*(11*c + 2)
Let a(y) be the second derivative of 0 + 60*y + 0*y**2 + 2/39*y**3 + 1/26*y**4 - 1/195*y**6 + 0*y**5. Factor a(r).
-2*r*(r - 2)*(r + 1)**2/13
Factor 2*m**3 - 1558 - 66*m**2 - 239 - 60*m**2 + 2046*m - 125.
2*(m - 31)**2*(m - 1)
Let y be ((-2)/(40/15))/((-2)/1056). Suppose y = 9*g - 0*g. Factor 8 - 38*f**3 + 54*f**3 + 54*f**3 - g*f + 14*f**3 + 32*f**2.
4*(f + 1)*(3*f - 1)*(7*f - 2)
Let k(w) be the first derivative of 3*w**3 - 1250*w**2 - 556*w + 969. Factor k(g).
(g - 278)*(9*g + 2)
Let j(h) be the second derivative of -h**6/30 + 113*h**5/140 - 103*h**4/14 + 656*h**3/21 - 400*h**2/7 - h + 959. Let j(v) = 0. Calculate v.
1, 4, 50/7
Let t(c) be the third derivative of -c**8/13440 - c**7/252 - 5*c**6/72 + 2*c**4/3 - 66*c**2. Let x(w) be the second derivative of t(w). Factor x(r).
-r*(r + 10)**2/2
Let u be (-4 - -3)/((-2)/4). Factor -21*i**3 + 7*i**3 + 11*i**3 + 3*i**u + 3*i + 0*i**2 - 3.
-3*(i - 1)**2*(i + 1)
Let o(w) be the third derivative of w**8/672 - 2*w**7/105 + 3*w**6/