65*h**2 - 175*h - 125. Let c(t) = 9*t**2 + 25*t + 18. Let o(q) = 15*c(q) + 2*z(q). Factor o(x).
5*(x + 1)*(x + 4)
Let g be ((-10)/(-15))/((-1)/(-3)). What is q in -8*q + g*q + 234*q**2 - 5 - 235*q**2 = 0?
-5, -1
Determine t so that 10*t**2 - 4*t**2 - 3*t**2 + 2*t**2 + 7*t**3 - 15*t + 18*t**3 - 5*t**4 - 10*t**5 = 0.
-3/2, -1, 0, 1
Suppose 2*f + 226 = d, 0*d + 244 = d + 4*f. Let m = d + -692/3. Factor -64/3 - m*a**2 + 32/3*a.
-4*(a - 4)**2/3
Let f(n) be the second derivative of -n**4/72 - n**3/6 - 2*n**2/3 - 53*n - 2. Factor f(m).
-(m + 2)*(m + 4)/6
Let y(h) be the third derivative of h**5/90 - 19*h**4/12 - 118*h**3/9 + 507*h**2. Factor y(k).
2*(k - 59)*(k + 2)/3
Let b(t) be the third derivative of t**5/210 + t**4/4 + 20*t**3/21 + 263*t**2. Factor b(j).
2*(j + 1)*(j + 20)/7
Let y(a) be the second derivative of a**5/4 - 5*a**4/4 - 25*a**3/3 - 60*a. Determine v, given that y(v) = 0.
-2, 0, 5
Let j(q) be the first derivative of -q**5/30 - 5*q**4/6 - 25*q**3/3 - q**2 - 13. Let v(l) be the second derivative of j(l). Find d, given that v(d) = 0.
-5
Let k(g) = -g - 52 + 52. Let s be k(-3). Factor 4*y**3 + 2*y**4 - 2*y**2 + s*y**4 - 4*y**4 - 3*y**4.
-2*y**2*(y - 1)**2
Let g(p) be the third derivative of 0 + 0*p**3 - 1/54*p**4 - 22*p**2 + 1/270*p**5 + 1/270*p**6 - 1/945*p**7 + 0*p. Determine c, given that g(c) = 0.
-1, 0, 1, 2
Let h(i) be the first derivative of 0*i**2 + 0*i - 14 + 1/2*i**4 + 4/9*i**3 + 2/15*i**5. Factor h(y).
2*y**2*(y + 1)*(y + 2)/3
Let f be 536/18 - (-6)/27. Let y = f - 30. Solve 1/2*d**4 - d**3 + y*d + 1/2*d**2 + 0 = 0 for d.
0, 1
Suppose 6*n = -6 + 24. Suppose -3*k = n*c - 21, 2*c = -2*c + 5*k + 1. Solve -4*y**c + 4*y**4 - 4*y**5 - y**2 + y**3 + 3*y**5 + y**4 = 0 for y.
-1, 0, 1
Let o(b) be the second derivative of -b**4/48 + 3*b**3/8 - 5*b**2/2 + b - 56. Factor o(d).
-(d - 5)*(d - 4)/4
Let d(k) = -5*k**4 + 195*k**3 + 595*k**2 + 420*k + 50. Let a(t) = t**2 - 2. Let m(r) = 25*a(r) + d(r). Suppose m(u) = 0. Calculate u.
-2, -1, 0, 42
Suppose -15 = 5*x, -6 = -6*r + 3*r - 2*x. Solve -346*v + 4*v**3 + r*v**3 + 331*v - 3*v**3 + 10 = 0 for v.
-2, 1
Factor -4 - 2/7*q + 4*q**2 + 2/7*q**3.
2*(q - 1)*(q + 1)*(q + 14)/7
Suppose -m - 3*q = -59, -2*m + 107 = q - 6*q. Let s be 16/m - (-12)/7. Factor 4*f**2 + 2*f**s - f**2 - 5*f**4.
-5*f**2*(f - 1)*(f + 1)
Let t be (1*6)/(9/6). Suppose -36 + 36 = -t*q. What is i in 0*i**4 - 3*i**3 + 3/2*i**5 + 0 + q*i**2 + 3/2*i = 0?
-1, 0, 1
Let j(l) be the first derivative of 3*l**5/100 - 3*l**4/4 + 15*l**3/2 - 75*l**2/2 + l + 15. Let o(i) be the first derivative of j(i). Factor o(h).
3*(h - 5)**3/5
Let c = 27 - 22. Suppose -4*b + 7 = -c*o, 0*o + 10 = 3*b + o. Factor -5*f**2 + 4*f**2 - 2*f**2 + 3*f**b.
3*f**2*(f - 1)
Let d(b) be the third derivative of b**6/660 + 2*b**5/33 - 7*b**4/44 - 32*b**2. Solve d(l) = 0 for l.
-21, 0, 1
Let u be (-1*1/6)/(7/(-14)). Let h(s) be the first derivative of 1/6*s**4 + 1/3*s - 1/15*s**5 - u*s**2 + 0*s**3 - 6. Let h(a) = 0. Calculate a.
-1, 1
Let x(k) be the third derivative of k**6/120 + k**5/8 - k**3/3 + 31*k**2. Let n(o) be the first derivative of x(o). Determine d so that n(d) = 0.
-5, 0
Let a = 49 + -46. Let m(x) be the second derivative of -1/8*x**4 - 1/4*x**a - 2*x + 0*x**2 + 0. Factor m(w).
-3*w*(w + 1)/2
Let r(i) = 10*i**2 - 46*i - 165. Let p(a) = -a**2 + 9*a + 1. Let m(u) = 45*p(u) + 5*r(u). Factor m(f).
5*(f - 4)*(f + 39)
Factor 54/5 - 2/5*f**4 + 16/5*f**3 + 0*f - 36/5*f**2.
-2*(f - 3)**3*(f + 1)/5
Let c(o) = o**2 + 6*o + 10. Let k be c(-4). Factor -4 + 5*j - 9*j**k + 1 + 6*j - 2*j + 3*j**3.
3*(j - 1)**3
Let u be 3*(64/42 + (-36)/42). Solve 1/4*h**u - 1/4*h - 1/2 = 0.
-1, 2
Let n(x) be the third derivative of 0 + 0*x + 0*x**3 + 0*x**4 - 6*x**2 - 1/1140*x**6 - 1/285*x**5 + 1/1995*x**7. Factor n(f).
2*f**2*(f - 2)*(f + 1)/19
Let m(l) be the second derivative of -5*l**5/12 + 40*l**4/9 - 341*l**3/18 + 121*l**2/3 + 5*l + 86. Determine t so that m(t) = 0.
2, 11/5
Solve -35 + 809*o**2 - 32*o - 13 - 813*o**2 = 0 for o.
-6, -2
Let y(i) be the second derivative of 1/54*i**4 + 2*i - 1/270*i**5 - 2*i**2 + 0*i**3 + 0. Let t(z) be the first derivative of y(z). Suppose t(o) = 0. What is o?
0, 2
Let n be 105/(-14)*(-1 + -1). Suppose -q = -4*q + n. Determine f so that -q*f - 9*f**3 + 9*f + f + 16*f - 6*f**2 - 6 = 0.
-2, 1/3, 1
Let n(h) be the third derivative of -h**7/70 - 3*h**6/20 - 2*h**5/5 + 3*h**4/4 + 9*h**3/2 - 4*h**2 - 7. Factor n(w).
-3*(w - 1)*(w + 1)*(w + 3)**2
Let r(s) be the second derivative of 2*s**7/35 + s**6/30 - 2*s**5/15 - 8*s**2 + 19*s. Let b(c) be the first derivative of r(c). Factor b(h).
4*h**2*(h + 1)*(3*h - 2)
Let z(s) = -11 + 2 + 8 + s + 0*s. Let v(h) = 8*h**3 - 12*h**2 - 6*h - 2. Let r(f) = v(f) - 2*z(f). Factor r(p).
4*p*(p - 2)*(2*p + 1)
Let b be -2 + (-1)/1 + 6. Suppose m + 5*o + 21 = 0, -4*o - 39 = -4*m - b. Solve -c**2 - 7*c**2 + 2*c**5 + 9*c**4 - 6*c**3 + 8*c - 5*c**m = 0.
-2, 0, 1
Let q(n) be the third derivative of -n**5/210 + n**4/24 - n**3/14 - 77*n**2. Find r, given that q(r) = 0.
1/2, 3
Let a = -23555 - -2237766/95. Let n = a - 3/95. Suppose -8/5*r + 8/5*r**3 - n - 4/5*r**2 + 6/5*r**4 = 0. What is r?
-1, -1/3, 1
Let a(c) be the second derivative of -c**5/10 + 2*c**4/3 + 28*c**3/3 + 32*c**2 - 288*c. Solve a(x) = 0.
-2, 8
Let k(i) = -5*i**2 + 45*i - 38. Let b(l) = -l**2 + 2. Let c(j) = 2*b(j) - k(j). Factor c(x).
3*(x - 14)*(x - 1)
Let q = 34523/5516 + -12/1379. Suppose -5 + 25/4*y + 5/4*y**4 - q*y**3 + 15/4*y**2 = 0. Calculate y.
-1, 1, 4
Suppose 42*n - 165 - 87 = 0. Let o(d) be the first derivative of n*d - d**3 + 11 - 3/2*d**2. Suppose o(k) = 0. Calculate k.
-2, 1
Factor -27*a - 2*a**4 + 18 + 16*a**2 + 3*a**3 - 9*a + a**3.
-2*(a - 3)*(a - 1)**2*(a + 3)
Determine w, given that -40/9*w**2 - 8/9 - 2/9*w**5 + 20/9*w**3 + 10/3*w + 0*w**4 = 0.
-4, 1
Let k(m) be the first derivative of -m**4/14 - 2*m**3/7 + 8*m/7 - 11. Suppose k(z) = 0. What is z?
-2, 1
Let p(h) be the first derivative of h**4/7 - 64*h**3/21 - 152*h**2/7 - 320*h/7 + 752. Factor p(k).
4*(k - 20)*(k + 2)**2/7
Let n be -56*(-1)/10 - 3/5. Let c be ((-4)/n - -2)*(-12)/(-54). Factor -2/15*s**4 - 2/15 + c*s**2 + 0*s + 0*s**3.
-2*(s - 1)**2*(s + 1)**2/15
Let w(v) be the second derivative of -v**4/3 - 62*v**3/3 - 60*v**2 - 342*v. Factor w(m).
-4*(m + 1)*(m + 30)
Let w(g) be the third derivative of -g**7/12600 - g**6/900 - g**5/150 + 5*g**4/6 - 15*g**2. Let f(c) be the second derivative of w(c). Let f(d) = 0. What is d?
-2
Let w(y) be the third derivative of -7*y**6/120 - 47*y**5/60 + 7*y**4/12 - 39*y**2. Find t such that w(t) = 0.
-7, 0, 2/7
Let r(i) be the third derivative of -i**5/60 + 3*i**4/4 - 27*i**3/2 - 35*i**2. Factor r(g).
-(g - 9)**2
Determine c so that -2/7*c**3 - 8/7*c**2 - 252 + 58*c = 0.
-18, 7
Let p = 9 + -7. Solve 54*j + 2*j**3 - 44*j + 0*j**3 + 6*j**2 + 2*j**p + 4 = 0.
-2, -1
Let t(o) be the second derivative of 2*o**8/105 + 2*o**7/105 - 7*o**6/180 + o**5/60 - 7*o**3/3 + 2*o. Let y(a) be the second derivative of t(a). Factor y(c).
2*c*(c + 1)*(4*c - 1)**2
Let f(y) = y**4 + 65*y**3 - 579*y**2 - 68*y + 581. Let t(g) = 66*g**3 - 578*g**2 - 68*g + 580. Let m(n) = -4*f(n) + 6*t(n). Factor m(p).
-4*(p - 17)**2*(p - 1)*(p + 1)
Let m(i) be the third derivative of -3/4*i**4 + 0 + 0*i - 9/2*i**3 - 1/20*i**5 + 17*i**2. Factor m(j).
-3*(j + 3)**2
Let n = -33 + 48. Let c be (-26)/(-10) - n/25. Suppose 0*t**3 + 0*t**c + 0*t + 2/9*t**5 + 0 + 2/9*t**4 = 0. Calculate t.
-1, 0
Let j(s) be the third derivative of -s**8/4032 + s**7/1008 + s**5/6 + 7*s**2. Let n(r) be the third derivative of j(r). Suppose n(u) = 0. What is u?
0, 1
Let x = -11/122 + 1075/1098. Suppose 2/9*s**2 + 8/9*s + x = 0. What is s?
-2
Let c(r) = r**4 + 97*r**3 + 2592*r**2 + 4900*r + 2404. Let l(h) = -h**3 - 2*h**2 + 1. Let m(v) = -c(v) + 3*l(v). Find t such that m(t) = 0.
-49, -1
Let c be 2*3*(-11)/(-33). Suppose 0 = 4*a - c*t, 2 = 3*a - 2*t + 3. Find k, given that 12*k - a - 4 + 2 - 4*k**3 - 5 = 0.
-2, 1
Let q = -1270762/20121 - -1200/19. Let u = 55078/5295 - q. Determine l, given that 4/5*l - 4/5*l**3 + 4/5 - u*l**2 + 48/5*l**4 = 0.
-1, -1/4, 1/3, 1
What is s in 4/9*s**4 + 0*s + 2/9*s**5 + 0*s**2 + 2/9*s**3 + 0 = 0?
-1, 0
Let w be (-1)/(6 + -42) + 0. Let b(r) be the third derivative of -1/90*r**5 - w*r**4 + 0 + 0*r + 0*r**3