n**4 + 36 + 0*n + 1/4*n**3 - 3/2*n**2 - 3/20*n**b. Let j(t) = 0. Calculate t.
-1, 0, 1, 4
Let x(s) be the second derivative of -s**5/10 + 7*s**4/3 - 7*s**3 - 36*s**2 + 18*s + 3. Factor x(d).
-2*(d - 12)*(d - 3)*(d + 1)
Let k(f) be the first derivative of -1/26*f**5 - 24 - 23*f - 4/39*f**4 + 0*f**2 + 4/39*f**3. Let u(y) be the first derivative of k(y). Solve u(d) = 0.
-2, 0, 2/5
Factor 80*u**2 + 0*u**4 + 24*u**3 - 28*u**5 - 12*u + 48*u - 48*u**4.
-4*u*(u + 1)**3*(7*u - 9)
Let g(d) be the third derivative of 5*d**8/84 - 5*d**7/6 - 397*d**6/24 + 323*d**5/12 + 175*d**4/8 + 13*d**2 + 8*d. Let g(j) = 0. Calculate j.
-7, -1/4, 0, 1, 15
Let j(v) = -3*v**3 + 4*v**3 + 85*v - 84*v - 2*v**3. Let g = -7 - -3. Let q(d) = -7*d**3 - 3*d**2 + 7*d + 3. Let i(w) = g*j(w) + q(w). Factor i(y).
-3*(y - 1)*(y + 1)**2
Let v = 110519/80 - -118389/16. Factor 4704/5*d + 2/5*d**3 - 168/5*d**2 - v.
2*(d - 28)**3/5
Determine d so that -154/23*d + 38/23*d**4 - 30/23*d**2 - 8/23 + 154/23*d**3 = 0.
-4, -1, -1/19, 1
Let u(i) be the second derivative of i**4/6 + 956*i**3/3 + 228484*i**2 + 11*i + 25. Let u(n) = 0. Calculate n.
-478
Suppose 16*w + 957 = -163. Let k be (8/(-14))/(w/49). What is a in 3/5*a + 1/5*a**2 + k = 0?
-2, -1
Let w(n) = 2*n**3 - 7*n**2 - 34*n. Let j(f) = f**2 - 2*f. Suppose -c - 13 = -5*a, 5*c + 1 + 14 = 0. Let m(y) = a*w(y) - 6*j(y). What is p in m(p) = 0?
-2, 0, 7
Let w(i) be the first derivative of i**6/6 - 23*i**5/3 + 593*i**4/12 + 487*i**3/9 - 112*i**2/3 + 1370. Suppose w(m) = 0. What is m?
-1, 0, 1/3, 7, 32
Suppose -i - m + 51 = 0, 5*m - 143 = 2*i - 5*i. Let f = i + -54. Factor 1 + 4*x**2 - 3*x**3 + 4*x**2 + 21*x - 2*x**f + 11.
-3*(x - 4)*(x + 1)**2
Let w be (-2)/12*-4*-57*-1. Factor 18*u**2 + 18*u**2 + 18 - w*u**2.
-2*(u - 3)*(u + 3)
Let k(v) be the third derivative of v**7/105 - 7*v**6/60 - v**5/15 + 5*v**4 - 24*v**3 + 247*v**2. Factor k(y).
2*(y - 6)*(y - 2)**2*(y + 3)
Let r = -7405807/15 + 493721. Let q = 1/48 - -91/240. Let -2/15*i**2 - q*i + r = 0. What is i?
-4, 1
Let c(s) = -34*s**2 - s + 7. Let a be c(-1). Let l be a/299 - (-52)/69. What is w in 0 + 2/3*w**4 - 2/3*w**2 - l*w**3 + 0*w + 2/3*w**5 = 0?
-1, 0, 1
Let r(h) be the first derivative of -h**6/27 + 16*h**5/45 - 10*h**4/9 + 32*h**3/27 - 869. Determine x, given that r(x) = 0.
0, 2, 4
Let v(y) be the second derivative of 2*y**6/15 + 10*y**5 + 207*y**4 - 400*y**3/3 - 5000*y**2 + 2850*y. Let v(f) = 0. What is f?
-25, -2, 2
Let k(g) be the second derivative of g**5/150 + 7*g**4/15 + 40*g**3/9 - 192*g**2/5 + 3291*g. Factor k(j).
2*(j - 2)*(j + 8)*(j + 36)/15
Let l be (143/22737)/((-28)/(-6)). Let x = l + 4447/3710. Find k such that 2*k**2 + 4/5*k + 0 + x*k**3 = 0.
-1, -2/3, 0
Let j be (-60264)/(-6840) - (-301)/(-35). Find b, given that -12/19*b**3 + 0 - 4/19*b**5 - 14/19*b**4 + j*b + 2/19*b**2 = 0.
-2, -1, 0, 1/2
Suppose 47*p - 112*p**3 + 8*p**5 - 2*p**2 + 13*p - 88*p**4 - 34*p**2 - 20*p**5 + 188*p**2 = 0. What is p?
-5, -3, -1/3, 0, 1
Suppose -391/3*x + 1/3*x**2 + 0 = 0. Calculate x.
0, 391
Factor -160/3*y**2 + 12*y**3 - 232/3 - 428/3*y.
4*(y + 1)**2*(9*y - 58)/3
Let t be ((-8)/30)/2 + ((-53116)/(-420) - 115). Solve -20/3*p + t*p**2 + 0 - 2*p**3 = 0 for p.
0, 2/3, 5
Let d be (-16)/(-12) - 1/3. Let z = 9 + d. Let -8 - 5*s**2 + 5*s**4 - 4*s**3 - 6*s**3 + 8 + z*s = 0. What is s?
-1, 0, 1, 2
Let d(g) = -33*g + 45. Let n be d(-5). Let j = 423/2 - n. Factor -2 + 1/2*q**2 + j*q.
(q - 1)*(q + 4)/2
Let b(n) be the third derivative of -1/210*n**7 + 0*n**3 + 1/40*n**6 + 0 - 1/3*n**4 - 10*n**2 + 1/10*n**5 - n. Factor b(q).
-q*(q - 4)*(q - 1)*(q + 2)
Let u(n) = 35*n**2 + 4635*n + 770. Let k(v) = 9*v**2 + 1159*v + 196. Let x(j) = -55*k(j) + 14*u(j). Factor x(z).
-5*z*(z - 229)
Let b(f) be the third derivative of f**7/35 + 16*f**6/15 + 3*f**5/5 - 16*f**4/3 - 7*f**3 - 5*f**2 + 57*f. Determine a, given that b(a) = 0.
-21, -1, -1/3, 1
Solve -20/7 - 176/7*z**3 + 232/7*z**4 - 212/7*z**2 - 38/7*z**5 + 214/7*z = 0 for z.
-1, 2/19, 1, 5
Let u(y) be the second derivative of -y**6/105 + 13*y**5/70 - 43*y**4/42 + 5*y**3/7 + 72*y**2/7 - 1456*y. Suppose u(j) = 0. What is j?
-1, 3, 8
Let r(d) be the third derivative of d**5/90 - 15*d**4/2 - 271*d**3/9 + 988*d**2 - 3. Suppose r(c) = 0. What is c?
-1, 271
Let z(y) be the third derivative of -y**5/30 + 13*y**4/3 - 64*y**3 + 2058*y**2. Let z(f) = 0. Calculate f.
4, 48
Let c(h) be the first derivative of h**6/840 + 3*h**5/280 - h**4/14 + 2*h**3/3 + 11*h - 59. Let d(r) be the third derivative of c(r). What is q in d(q) = 0?
-4, 1
Let s(r) be the third derivative of r**8/141120 - r**7/4410 + r**6/315 + 13*r**5/60 + r**4/12 + 8*r**2. Let k(x) be the third derivative of s(x). Factor k(u).
(u - 4)**2/7
Let v(q) be the first derivative of -14*q**6/3 - 244*q**5/5 - 122*q**4 - 176*q**3/3 + 48*q**2 + 1602. Solve v(b) = 0 for b.
-6, -2, -1, 0, 2/7
Let f(z) = 2*z**2 + 15*z + 33. Let m be f(-8). Let c be m/(-7) - (-1 - -7)*-1. Factor -c*b**2 - 1/7 - 2/7*b.
-(b + 1)**2/7
Let k(f) = -15*f + 17. Let g be k(4). Let h = -38 - g. Factor 8*s**4 + 3*s**2 + s**3 - 5*s**4 + 2*s**3 - 3*s**h - 6*s**2.
-3*s**2*(s - 1)**2*(s + 1)
Let d(f) = f**2 - 34*f - 11. Let m(n) = -17*n - 5. Let q(z) = -3*d(z) + 5*m(z). Let c be q(6). Suppose 0*w - 1/3 - 1/3*w**4 + 0*w**3 + 2/3*w**c = 0. What is w?
-1, 1
Determine j so that -1436*j**2 + 2410*j**3 + 2645 - 1305*j**2 + 5*j**5 - 2415*j - 129*j**2 + 225*j**4 = 0.
-23, -1, 1
Factor 3612/5 + 722*d - 2/5*d**2.
-2*(d - 1806)*(d + 1)/5
Let z(w) = 313*w + 316. Let k be z(-1). Let h(m) be the second derivative of -20*m + 0 + 1/36*m**4 + 5/18*m**k + 1/2*m**2 - 1/60*m**5. Factor h(r).
-(r - 3)*(r + 1)**2/3
Let u be (-1)/5*(385/(-99))/7. Let w(q) be the second derivative of -u*q**2 + 0 + 19*q - 1/54*q**4 + 2/27*q**3. Factor w(n).
-2*(n - 1)**2/9
Let m(v) be the second derivative of -49*v - 1 - 1/2*v**3 + 1/16*v**4 + 0*v**2. Factor m(p).
3*p*(p - 4)/4
Let y(j) be the third derivative of j**5/150 - 97*j**4/60 + 38*j**3/3 + 5*j**2 - 36*j. Factor y(v).
2*(v - 95)*(v - 2)/5
Suppose -3*l + 2 = 2*b, 3*b - 8 = -2*l + 5*b. Suppose 2*z - 1 = l*s + 3*z, 0 = z + 5. Find q such that 2*q**s - 3*q + 0*q**2 - q**2 - 4*q**2 = 0.
-1, 0
Let p(u) = -u**2 - 13*u + 32. Let h be p(-15). Suppose 5*a - 2*y = 33, h*a - 31 + 1 = 5*y. Factor 84 - a*i**2 - 79 - 4*i + 5*i**3 - i.
5*(i - 1)**2*(i + 1)
Let r(t) be the second derivative of t**7/56 - t**6/20 - 3*t**5/20 + t**4/2 + 523*t. Factor r(f).
3*f**2*(f - 2)**2*(f + 2)/4
Let 55*o**4 - 105*o**4 + 58*o**4 + o**5 + o**5 = 0. What is o?
-4, 0
Factor 138*m**2 + 142*m**2 - 552*m**2 - 130*m + 133*m**2 - 128 + 137*m**2.
-2*(m + 1)*(m + 64)
Let l(g) be the first derivative of g**2 - 3/8*g**4 + 0*g**3 + 0*g + 26 - 1/10*g**5. Factor l(i).
-i*(i - 1)*(i + 2)**2/2
Let h(r) be the second derivative of r**4/12 + 7*r**3/3 - r + 167. Let j be h(-14). Let 0*f - 2/13*f**3 - 2/13*f**2 + j = 0. What is f?
-1, 0
Let c(y) be the second derivative of -y**7/42 + 4*y**6/15 - 11*y**5/20 - 2*y**4/3 + 2*y**3 + 193*y - 3. Suppose c(d) = 0. Calculate d.
-1, 0, 1, 2, 6
Let j = -58 - -88. Suppose 0 = -8*v - 2*v + j. Factor -6*n + 11*n**2 - 4*n**2 + 2*n**3 - 3*n**v.
-n*(n - 6)*(n - 1)
Let q(o) = 37*o + 4. Let z be q(2). Let f = z - 75. Suppose -y - 4 - 3 - y**2 + 6 + f = 0. What is y?
-2, 1
Let k = 3346 + -23417/7. Let t(c) be the second derivative of 32/105*c**6 + 0 - 15*c + 0*c**2 + 8/35*c**5 - k*c**4 - 6/7*c**3. Factor t(m).
4*m*(m - 1)*(4*m + 3)**2/7
Let r(c) = -c**3 + 147*c**2 + 1403*c + 168. Let l be r(156). Let k(a) be the first derivative of -15 + 15/2*a**2 + l*a + a**3. Solve k(s) = 0.
-4, -1
Let c(m) be the second derivative of -260/9*m**3 + 5 + 23/6*m**6 - 30*m**2 - 55/12*m**4 + 113/12*m**5 - 5/14*m**7 - 4*m. Find f such that c(f) = 0.
-1, -2/3, 1, 9
Let p(z) = 4*z**2 + 4*z + 3. Let n be 4*2/(-1) - 565/(-113). Let x(f) = 5*f**2 + 4*f + 3. Let s(r) = n*x(r) + 4*p(r). What is c in s(c) = 0?
-3, -1
Let x(i) = -3*i**2 + 3*i**3 - 4*i**3 + 14 + 4*i**2. Let h be x(0). What is y in -4*y**3 + h*y**3 + 5*y**5 + 10*y**3 + 25*y**4 - 5*y**4 = 0?
-2, 0
Suppose -2*d - 31 = -63*t + 62*t, 2*t = 2*d + 58. Factor -2 - 4*l**4 - 22*l**3 - 25/2*l - t*l**2.
-(l + 4)*(2*l + 1)**3/2
Find a, given that 9/4*a**5 + 5/2*a**3 - 1/4 + 3/2*a**2 - 21/4*a**4 - 3/4*a = 0.
-1/3, 1
Let n = 141786 + -141782. 