2*y - 11 + 4*y - 6 - 5*y. Let v be h(-7). Solve 6*s**3 + 3 - 2*s**v + 185*s - 191*s - s**4 = 0.
-1, 1
Let c(h) be the second derivative of -h**6/10 - 132*h**5/5 - 7565*h**4/4 + 7921*h**3 + 7*h - 590. Factor c(b).
-3*b*(b - 2)*(b + 89)**2
Let x(i) be the second derivative of i**4/42 - 1828*i**3/21 + 835396*i**2/7 + 762*i - 5. Solve x(v) = 0.
914
Let m = -2494977/2 + 1248639. Determine s so that -1/2*s**4 - 1250 + 49*s**3 - 2450*s - m*s**2 = 0.
-1, 50
Let n(f) be the second derivative of 3*f**5/20 - 9*f**4/2 - 21*f**3/2 + 57*f**2 - 603*f. Factor n(z).
3*(z - 19)*(z - 1)*(z + 2)
Determine u, given that 9/4 - 129/4*u**3 + 57/4*u**2 - 33/2*u**4 + 18*u**5 + 57/4*u = 0.
-1, -1/3, -1/4, 1, 3/2
Let i(k) = -5*k**3 + 160*k**2 - 55*k + 1762. Let r be i(32). Factor -3/7*w**3 - 3/7*w**r + 0*w + 0.
-3*w**2*(w + 1)/7
Factor -4/7*q**2 - 646/21*q - 320/21.
-2*(2*q + 1)*(3*q + 160)/21
Suppose 0 = -n + 2*v + 34, -330 = n + v - 316. Determine p, given that 0*p**3 + 0*p + 0 - 2/5*p**5 - 4*p**4 + 0*p**n = 0.
-10, 0
Let b(o) = 21*o**2 + 87*o + 4. Let d(x) = 10*x**2 + 43*x + 2. Let p(u) = 2*b(u) - 5*d(u). Let l be p(-5). Factor 0 + 8/5*k + 2/5*k**l + 8/5*k**2.
2*k*(k + 2)**2/5
Let l be ((-168)/(-16))/(3/(-18)). Let g be -5 + (-324)/l - 2/14. Find x such that -1/3*x + g + 1/3*x**2 = 0.
0, 1
Let h(c) be the first derivative of c**4/18 + 56*c**3/27 + 100*c**2/9 + 64*c/3 + 2022. Factor h(m).
2*(m + 2)**2*(m + 24)/9
Let s(g) be the first derivative of -g**6/14 + 66*g**5/35 - 72*g**4/7 - 288*g**3/7 + 1357. Factor s(v).
-3*v**2*(v - 12)**2*(v + 2)/7
Let r be (-4)/(3*(-20)/24 - -2). Factor -15*d**3 - 16*d + 5*d**3 + 3*d**3 + 3*d**3 + 20*d**2 - r*d.
-4*d*(d - 3)*(d - 2)
Let c be (-36)/504*14/(-4). Let n(d) be the second derivative of -c*d**4 + 0*d**2 + 0 + 6*d + 1/2*d**3. Suppose n(g) = 0. What is g?
0, 1
Let a(j) = 31*j**2 - 184*j - 363. Let u(s) = -51*s**2 + 368*s + 725. Let v(i) = -10*a(i) - 6*u(i). Solve v(d) = 0 for d.
-90, -2
Find l such that -9/2*l**4 + 324*l - 207/2*l**2 + 1458 - 1/6*l**5 - 81/2*l**3 = 0.
-9, -6, 3
Factor 3 - 3*x**2 + 2/5*x**3 + 22/5*x.
(x - 5)*(x - 3)*(2*x + 1)/5
Suppose 0 = 3*i + 5*y - 224, 3*i - 64 = 2*i + y. Let k be (i/20 - 3)*(-20)/(-12). Determine f so that -26/3*f - 10/3*f**2 + k*f**3 - 14/3 = 0.
-1, 7
Let t(f) = 4*f**3 - 3*f**2 + 6*f - 3. Let q be t(4). Let -35*w**2 + 225*w**5 - 3 + 0 + 11 + 4*w - 103*w**2 + 130*w**4 - q*w**3 = 0. Calculate w.
-1, -2/5, 2/9, 1
Let y(h) = 60*h**3 - 590*h**2 + 865*h - 75. Let c(j) = -5*j**3 + 49*j**2 - 72*j + 6. Let s(o) = 25*c(o) + 2*y(o). Let s(k) = 0. What is k?
0, 2, 7
Let h be (256/366 - (-854)/(-26047))*4. Solve -2*m**2 - 1/3*m**3 - h*m + 0 = 0.
-4, -2, 0
Let i = -1166 + 1174. Let m be 0*((-9)/6)/((-12)/i). Factor -2*h + 2/5*h**2 + m.
2*h*(h - 5)/5
Suppose -35 = -87*j + 226. Let r(t) = -t**3 + 3. Let g be r(-3). Find v such that -3 + 3*v**5 - 15*v**4 + 7*v**j + 15*v + 8*v**3 - g*v**2 + 15*v**3 = 0.
1
Let t be ((-130)/(-20))/((-1)/22 + 0). Let w = t + 146. Solve -10/17*k**2 + 0 - 8/17*k - 2/17*k**w = 0.
-4, -1, 0
Let v be (-5 - -14) + -2 - (-20 - -2). Suppose -3*n + 9 = 3. Factor -v*k**2 + 10*k - 12 - 26*k**2 + 49*k**n.
-2*(k - 3)*(k - 2)
Let a(m) be the first derivative of 4*m**5/5 + 441*m**4 - 1772*m**3/3 - 882*m**2 + 1768*m + 12403. Factor a(s).
4*(s - 1)**2*(s + 1)*(s + 442)
Let q(y) = -2*y**3 + 31*y**2 - 51*y + 27. Let i(j) = j**3 - 3*j**2 - 2*j - 1. Let r(o) = i(o) + q(o). Factor r(w).
-(w - 26)*(w - 1)**2
Let v = 7717 + -84961/11. Let m = v + 244/33. Find a such that 10/3*a - 10/3*a**3 + 8/3 - m*a**4 - 2*a**2 = 0.
-4, -1, 1
Suppose g = v - 7, -g = v - 6 - 7. Let s(o) be the first derivative of -50/3*o**3 - 15/4*o**4 + 4 + 40*o - v*o**2. Solve s(z) = 0 for z.
-2, 2/3
Suppose -12 = -10*u + 7*u. Suppose 3*x = -4*y + 8, -4*x = u*y - 0*y - 12. Solve -2*n**5 - 30*n**3 - 18*n**4 + 6*n**3 - 2*n**5 + 2*n**x - 4*n - 16*n**2 = 0.
-1, 0
Let s(t) be the third derivative of -t**6/240 - t**5 - 64*t**4 + 8192*t**3/3 - 1837*t**2. Solve s(g) = 0 for g.
-64, 8
Let v = -372284/7 - -53184. Suppose v*o + 0 + 0*o**2 - 4/7*o**3 = 0. Calculate o.
-1, 0, 1
Let j(m) = 2*m**2 + 3*m - 1. Let n(k) = 3*k**2 - 6438*k - 10381286. Let x(p) = 2*j(p) - n(p). Determine q, given that x(q) = 0.
-3222
Let b(v) be the third derivative of 10086*v**7/35 + 943*v**6/2 - 968*v**5/15 + 8*v**4/3 - 1130*v**2. Find x such that b(x) = 0.
-1, 0, 4/123
Let q(u) be the first derivative of -u**4/22 + 188*u**3/33 - 33*u**2 + 540*u/11 - 2155. Factor q(n).
-2*(n - 90)*(n - 3)*(n - 1)/11
Let o be (205/(14145/(-207)))/((-3)/2). Let -448/3*j - 8/3*j**3 + 124/3*j**o - 256/3 = 0. Calculate j.
-1/2, 8
Let f(q) be the first derivative of 5*q**5 + 1055*q**4/4 + 670*q**3 + 4330. Suppose f(l) = 0. Calculate l.
-201/5, -2, 0
Let v(t) = 18*t**3 - 3*t**2 + t. Let y be v(1). Suppose -y*l + 17*l = 2. Factor -6*f**3 + l*f**2 + 3*f**3 + f**3.
-2*f**2*(f - 1)
Let p(f) = -4*f**2 + 31*f - 39. Let n(t) = -t**2 - t - 1. Suppose -4*r = -3*w - 16, -5*w - 17 = -4*r + 7. Let o(i) = r*n(i) + p(i). Factor o(m).
-5*(m - 4)*(m - 2)
Let o(z) = 5*z**2 - 540*z + 71824. Let f(x) = 6*x**2 - 541*x + 71824. Let d(a) = -4*f(a) + 5*o(a). Suppose d(n) = 0. Calculate n.
268
Let o = -2290 + 2293. Let l(u) be the first derivative of 3/26*u**4 - 4/39*u**o - 6 - 1/39*u**6 + 0*u**5 + 0*u + 0*u**2. Factor l(w).
-2*w**2*(w - 1)**2*(w + 2)/13
Let j(t) = 25*t**2 - 3*t - 4. Let m(h) = 52*h**2 - 5*h - 6. Let x(a) = -5*j(a) + 3*m(a). Let q(u) = 17*u**2 + 1. Let c(g) = 11*q(g) - 6*x(g). Factor c(z).
(z - 1)*(z + 1)
Let n(a) be the second derivative of -20*a - 1/6*a**6 + 0 - 5*a**4 + 3/2*a**5 - 15/2*a**2 + 25/3*a**3. Suppose n(p) = 0. What is p?
1, 3
Let r(f) be the first derivative of -26*f - 25/3*f**3 + 199 - 1/8*f**4 + 103/4*f**2. Solve r(c) = 0 for c.
-52, 1
Let q(t) = -39*t + 1. Let f(k) = -5*k**2 + 28*k + 3. Let z(x) = f(x) - 3*q(x). Find r such that z(r) = 0.
0, 29
Let y(h) be the third derivative of -1/15*h**6 + 1/21*h**7 + 0 + 1/30*h**5 + 93*h**2 + 0*h**4 + 0*h**3 + 0*h - 1/84*h**8. Suppose y(i) = 0. What is i?
0, 1/2, 1
Let v = -88 + 139. Let t(h) = h**3 + 3*h**2 + 4*h. Let g(i) = 18*i - 16*i - 9*i**3 - 25*i**2 - 33*i. Let x(a) = v*t(a) + 6*g(a). What is n in x(n) = 0?
-2, 0, 3
Let r = -25 + 21. Let i = r - -6. Factor -24 + 2*g - g + g**2 - 5*g + 3*g**i.
4*(g - 3)*(g + 2)
Suppose -3*s + 2*l = -68, 0 = 142*s - 144*s + 3*l + 57. What is v in 3/4*v**5 + 21*v - 33/4*v**3 - 9/2*v**2 + 0*v**4 + s = 0?
-2, -1, 2, 3
Let a be -7 - ((-5356)/(-286))/(2*-1). Let f = -3631/11 - -331. Factor 14/11 + f*c**2 - a*c + 2/11*c**3.
2*(c - 1)**2*(c + 7)/11
Let -4*s**5 - 8023*s**4 - 200*s**3 - 560*s**2 + 2676*s**4 + 2679*s**4 + 9*s**5 + 2673*s**4 = 0. What is s?
-4, 0, 7
Let l = -8381 - -8384. Find m such that 2/11*m**2 - 2/11*m**l + 4/11*m + 0 = 0.
-1, 0, 2
Let r(g) be the first derivative of 15/2*g**4 + 25*g**2 - 20*g**3 + 162 - 15*g - g**5. Factor r(w).
-5*(w - 3)*(w - 1)**3
Suppose -2*k**4 + 10*k**3 - 74*k**2 + 18*k**3 - 72 + 148814*k - 148662*k - 32*k**2 = 0. What is k?
1, 2, 9
Let g = -17253 - -34509/2. Factor 0 + 9/2*r**3 + g*r**4 + 9/2*r**2 + 3/2*r.
3*r*(r + 1)**3/2
Let n = -292 - -345. Factor -4*d**5 - 38*d**4 - 133*d**2 - 164*d**3 - 72*d**4 + 22*d**4 + n*d**2.
-4*d**2*(d + 1)**2*(d + 20)
Let j(t) be the second derivative of -t**9/18900 - t**8/1680 + t**7/525 - 11*t**4 - 141*t. Let r(o) be the third derivative of j(o). Factor r(w).
-4*w**2*(w - 1)*(w + 6)/5
Let o(d) = 2*d**2 + 15*d + 40. Let t be o(-5). Suppose 4 = -13*a + t*a. What is l in -1/2*l - 1/4*l**3 + 0 + 3/4*l**a = 0?
0, 1, 2
Let d(u) be the third derivative of 0 + 1/2*u**4 + 3/10*u**5 + 1/70*u**7 + 0*u + 1/10*u**6 + 1/2*u**3 - 25*u**2. Solve d(c) = 0.
-1
Let p = 37 + -37. Suppose -2*b - b + 12 = p. Factor -3 + b*f + 4*f**2 - 18*f + 27 - 6*f.
4*(f - 3)*(f - 2)
Suppose 0 = -491*x + 306*x + 200 + 170. Suppose 7/3*b**4 + 20/3*b**x + 23/3*b**3 + 4/3*b + 0 = 0. Calculate b.
-2, -1, -2/7, 0
Let q(v) = -17*v**4 + 40*v**3 - 17*v**2 - 89*v - 57. Let o(f) = 2*f**4 - 2*f**3 + 2*f**2 - f - 1. Let b(a) = 14*o(a) + 2*q(a). Let b(t) = 0. Calculate t.
-1, 8/3, 8
Let -13*o - 17*o**2 + 3*o**2 + 16*o**2 - 37*o - 81 - 87 = 0. What is o?
-3, 28
Suppose -2*j + 19*j = 7378. Solve 11*x**2 + j*x**4 - 433*x**4 + 6*x**3 + 5*x + x = 0 for x.
-3, -2, -1, 0
Let g be ((-64)/6)/((-