/9
Suppose 0 = -22*d - 5 - 259. Let z be 6 - (8/(-4))/(d/18). Solve z*i**2 - 6/5*i + 0 + 3/5*i**4 - 12/5*i**3 = 0.
0, 1, 2
Let l(q) be the second derivative of -37/30*q**3 + 1/100*q**5 - 2*q - 13 - 19/10*q**2 - 17/60*q**4. Suppose l(j) = 0. Calculate j.
-1, 19
Let z(c) = -15*c**2 + 30*c + 52. Let b(a) = 7*a**2 - 15*a - 22. Let u(d) = 13*b(d) + 6*z(d). Let k be u(2). Factor 0*q - 2/7*q**2 + k + 2/7*q**4 + 0*q**3.
2*q**2*(q - 1)*(q + 1)/7
Let p(o) be the second derivative of o**4/9 + 4352*o**3/9 + 2367488*o**2/3 - 968*o. Solve p(f) = 0 for f.
-1088
Suppose -2041*m**3 + 2038*m**3 + m**4 + 15*m**2 - 25*m**2 = 0. Calculate m.
-2, 0, 5
Let y(l) be the second derivative of -l**5/13 - 23*l**4/6 + 32*l**3/39 + 60*l**2/13 - 72*l - 2. Solve y(b) = 0 for b.
-30, -2/5, 1/2
Let b(z) = -4*z**4 - z**3 + z**2 - z + 1. Let a(j) = -4*j**4 - 2*j**3 - 70*j**2 + 126*j - 58. Let q(d) = a(d) - 2*b(d). Factor q(s).
4*(s - 3)*(s - 1)**2*(s + 5)
Suppose 5*h - 7*l - 1209 = -6*l, 3*h = 3*l + 735. Let v = h - 721/3. Factor v - 5/3*n - 7/3*n**2.
-(n + 1)*(7*n - 2)/3
Let y = 2 - -2. Suppose -2*g = v + 2, y = 5*v - 0*g + 3*g. Find o such that -50*o + 4*o**v + 2*o**2 - o**2 - 10*o + 180 = 0.
6
Let d(q) be the third derivative of -q**6/600 - 507*q**5/100 - 257049*q**4/40 - 43441281*q**3/10 + 2283*q**2. Find g, given that d(g) = 0.
-507
Suppose v - 360 = -4*s + 2*v, 3*v = 4*s - 368. Let n = -86 + s. Factor -49*h**n + 83*h**3 - 5*h**4 - 39*h**3.
-5*h**3*(h + 1)
Let c = -849301 + 5095807/6. Solve 13/3*q - c*q**2 - 25/6 = 0.
1, 25
Let v be (-112)/504 + (-47)/(-9). Let u be 10/4*56/2450*v. Factor 18/7 - 12/7*s + u*s**2.
2*(s - 3)**2/7
Determine a, given that -68/7*a**4 - 180/7*a**2 + 0*a + 0 - 2/7*a**5 - 246/7*a**3 = 0.
-30, -3, -1, 0
Let j = -24422 - -24425. Let 5/3*s**4 - 35/3*s**j + 20/3 - 65/3*s + 25*s**2 = 0. Calculate s.
1, 4
Let f(z) = 2*z**2 - 123*z - 645. Let t be f(-5). Let w(a) be the second derivative of 1/22*a**4 + 27/11*a**2 + 0 - t*a - 6/11*a**3. Factor w(r).
6*(r - 3)**2/11
Let z = -487597/40 + 12190. Let i(s) be the second derivative of -1/6*s**4 - 23*s + 5/12*s**3 + 0 - z*s**5 + 1/2*s**2. Factor i(y).
-(y - 1)*(y + 2)*(3*y + 1)/2
Let s = -474 + 476. Suppose -24*d**2 - 28*d + 2*d**3 - 17*d**s - 6*d**3 + d**2 + 72 = 0. Calculate d.
-9, -2, 1
Suppose n + 6 = 7*w - 11*w, -3*n = 4*w + 2. Factor -2*m**n + 174*m - 5832 - 9*m + 4*m - 32*m + 79*m.
-2*(m - 54)**2
Let z(m) be the first derivative of -m**4/12 + 8*m**3/9 + 23*m**2/2 - 84*m + 3105. Factor z(w).
-(w - 12)*(w - 3)*(w + 7)/3
Let r(a) be the first derivative of -4*a**5/45 - a**4/3 + 284*a**3/27 + 2*a**2/3 - 280*a/9 + 14396. What is m in r(m) = 0?
-10, -1, 1, 7
Factor 0 - 338*y - 2/9*y**3 - 52/3*y**2.
-2*y*(y + 39)**2/9
Let l(x) be the second derivative of x**6/6 + x**5/2 + 5*x**4/12 + 6701*x. Suppose l(j) = 0. Calculate j.
-1, 0
Let z(n) be the third derivative of n**6/40 - 25*n**5/2 - 251*n**4/8 - 639*n**2. Factor z(u).
3*u*(u - 251)*(u + 1)
Let j(v) be the third derivative of v**8/504 - 73*v**7/105 + 1391*v**6/20 - 11449*v**5/18 - 11*v**2 + 6*v + 11. Suppose j(n) = 0. Calculate n.
0, 5, 107
Let v(o) be the first derivative of 198*o**5/5 - 1113*o**4/4 + 631*o**3/3 - 79*o**2/2 - 5*o - 2457. Solve v(i) = 0.
-1/22, 1/3, 5
Let p(n) = 65*n**3 + 144250*n**2 + 286290*n - 431145. Let t(h) = -h**3 - 2153*h**2 - 4273*h + 6435. Let f(u) = -2*p(u) - 135*t(u). Solve f(r) = 0.
-429, -3, 1
Let u(b) = -b + 6. Let k be u(-9). Suppose -k*a + 6 = -13*a. Find x, given that x**3 + 0*x**3 + 2 - 6*x + 5*x + x**4 - a*x**2 = 0.
-2, -1, 1
Let k be ((-12)/30)/((-32)/(-2480)). Let o be (-8)/(k - 9) - 0. Solve 12/5*h - 36/5 - o*h**2 = 0.
6
Let z = 5920 + -88799/15. Let x(r) be the third derivative of -14*r**2 + 0*r**4 + 0*r - 1/150*r**5 + z*r**3 + 0. Suppose x(t) = 0. Calculate t.
-1, 1
Suppose 8*h + 33 = 273. Let l = -15 + h. Find y, given that 0*y - 11*y + 6*y**3 - l*y**2 - 6 - y + 15 = 0.
-1, 1/2, 3
Let k(y) be the second derivative of 2*y**7/189 + 16*y**6/135 - 7*y**5/15 - 8*y**4/27 + 40*y**3/27 - 234*y + 2. Find q such that k(q) = 0.
-10, -1, 0, 1, 2
Let i(m) be the third derivative of -259*m**5/285 - 1553*m**4/228 + m**3/19 - 66*m**2 - 16. Factor i(n).
-2*(n + 3)*(518*n - 1)/19
Let f(o) be the first derivative of -o**4/4 - 29*o**3/3 - 15*o**2 - 56*o - 1. Let p be f(-28). Factor 2/7*c**3 - 6/7*c + 4/7 + p*c**2.
2*(c - 1)**2*(c + 2)/7
Let p(d) be the first derivative of d**5/30 + 4*d**4/3 + 5*d**3 - 47*d**2/2 + 14. Let m(j) be the second derivative of p(j). Solve m(o) = 0.
-15, -1
Suppose -266*y = -265*y - 24. Factor -4*w**5 + y + 16*w**2 + 24*w**3 - 71*w + 159*w**4 + 19*w - 167*w**4.
-4*(w - 1)**3*(w + 2)*(w + 3)
Suppose 32*q - 6 = 31*q. Suppose 2*c + 3*v + 8 = 0, 0*v = -3*c - 3*v - q. Factor -12*a**3 - 43*a**2 + c*a**5 + a + 27*a**2 - 7*a.
2*a*(a - 3)*(a + 1)**3
Let j(x) = 17*x + 3. Let u(h) = -10*h**2 - 4556*h + 886. Let f(v) = 4*j(v) + u(v). Find g such that f(g) = 0.
-449, 1/5
Let c = -232 + 235. Factor -6*u + 4*u - 6 - c*u - u**2.
-(u + 2)*(u + 3)
Let t(q) be the first derivative of 3/5*q**5 + 25 - 48*q - 15*q**4 + 48*q**2 + 0*q**3 + 3/2*q**6. What is b in t(b) = 0?
-2, 2/3, 1, 2
Let v(m) be the third derivative of -m**5/180 + 1469*m**4/36 - 2157961*m**3/18 - 58*m**2 - 7. Suppose v(l) = 0. What is l?
1469
Let q(x) be the third derivative of -x**7/35 + 197*x**6/80 - 509*x**5/8 + 183*x**4 - 144*x**3 - 2527*x**2. Suppose q(y) = 0. Calculate y.
1/4, 1, 24
Let b(k) be the first derivative of k**4/4 + 5*k**3/3 + 2*k**2 - 19. Let g be b(-3). Factor 5*x**3 + 5*x**2 - 2*x**3 - g*x - x**2 - x**3.
2*x*(x - 1)*(x + 3)
Let q be ((-2)/5)/((2/(-5))/(-2)). Let w be 0 - (1 - -2*3/q). Let -b**5 + 3*b + 11*b**4 - 6*b**w - 2*b**5 - 5*b**4 = 0. Calculate b.
-1, 0, 1
What is i in 79*i + 79*i - 4*i**3 - 245*i + 91*i - 496 + 496*i**2 = 0?
-1, 1, 124
Let p(y) = y**3 - 20*y**2 - 1121*y + 24196. Let o be p(23). Suppose -l**2 + o*l + 0 - 1/4*l**3 = 0. What is l?
-4, 0
Let j(y) be the third derivative of y**5/150 - 17*y**4/60 + 24*y**3/5 + 1588*y**2. Let j(h) = 0. Calculate h.
8, 9
Let p(k) be the first derivative of 5/2*k**2 - 5/4*k**4 - 10/3*k**3 + 82 + 10*k. Let p(v) = 0. Calculate v.
-2, -1, 1
Let f(g) be the first derivative of 0*g**2 + 122 - 3/5*g**5 + 1/2*g**6 + g**3 - 3/4*g**4 + 0*g. Solve f(r) = 0 for r.
-1, 0, 1
Let h be (-2)/(-21) + (1332660/441 - -50). Factor 16*b**2 + h - 384*b - 2/9*b**3.
-2*(b - 24)**3/9
Let o(y) be the third derivative of -7/1020*y**5 + 8*y**3 + 1/68*y**4 + 0*y + 22*y**2 + 1/1530*y**6 + 0. Let c(f) be the first derivative of o(f). Factor c(j).
2*(j - 3)*(2*j - 1)/17
Let m(q) be the second derivative of 0*q**2 + 1/15*q**6 - 1/6*q**3 + 1/3*q**4 - q - 1/4*q**5 - 11. Factor m(j).
j*(j - 1)**2*(2*j - 1)
Factor -2813/7*h - 1/7*h**3 + 1408/7*h**2 + 1406/7.
-(h - 1406)*(h - 1)**2/7
Let t(z) be the second derivative of z**5/35 + 74*z**4/21 - 304*z**3/21 - 3*z + 715. Suppose t(h) = 0. What is h?
-76, 0, 2
Let m(k) be the second derivative of -k**6/120 + k**5/80 + k**4/8 - k**3/6 - k**2 + 326*k - 1. Determine l so that m(l) = 0.
-2, -1, 2
Let n = -97 - -99. Factor -13*o**n + o**2 + 19*o - 18*o - o**3 + 12.
-(o - 1)*(o + 1)*(o + 12)
Let b = 17 - 23. Let u be ((-12)/9)/(4/b). Determine r so that -4*r + 15*r**4 + 12*r**u + 8*r**4 - 12*r**3 - 19*r**4 = 0.
0, 1
Suppose 34*p = 33*p + 5*a + 24, 5*p + 4*a = 33. Suppose -45 = -p*f - 6*f. Solve 10/9*h**2 - 20/9*h**5 + 4/3*h**f + 0 - 22/9*h**4 - 4/9*h = 0 for h.
-1, 0, 2/5, 1/2
Let b(f) be the first derivative of -5*f**4/4 - 280*f**3/3 + 1240*f**2 - 5120*f + 480. Suppose b(d) = 0. Calculate d.
-64, 4
Let x(i) be the second derivative of -i**4/12 + 127*i**3/6 + 64*i**2 + 359*i. Factor x(g).
-(g - 128)*(g + 1)
Suppose -5*c = 3*h - 34, -h - 179 = 4*c - 202. Let a(i) be the first derivative of -12/7*i + 5 - 4/3*i**h - 20/7*i**2. Factor a(u).
-4*(u + 1)*(7*u + 3)/7
Let t(i) be the third derivative of 847*i**6/150 - 2827*i**5/75 + 1424*i**4/15 - 512*i**3/5 + 1722*i**2. Factor t(g).
4*(7*g - 3)*(11*g - 16)**2/5
Suppose -7*j + 6*j - 5*h - 6 = 0, -j + 10 = -3*h. Let g = 1 - -10. Factor 5 - j - 306*r**2 - g - 15*r + 301*r**2.
-5*(r + 1)*(r + 2)
Let g(p) = -3*p**3 - 46*p**2 - 8*p + 16. Let a be g(-16). Let r be (6/8)/(1722/a). Let -18/7 - r*h**2 - 12/7*h = 0. Calculate h.
-3
Let x be 263 - 256 - (-15)/9*-3.