10*i**4 - q - 1/15*i**3. Suppose f(y) = 0. What is y?
-1, 0
Let c(t) be the first derivative of 1/2*t**2 - 1/8*t**4 + 7 - 3/4*t + 5/12*t**3. What is d in c(d) = 0?
-1, 1/2, 3
Let y(o) = 39*o**2 - 10 + 7*o**4 - 42*o**2 + 3*o + 7*o - 4*o**3. Let g(t) = -t**4 + t**2 - t + 1. Let v(k) = 6*g(k) + y(k). Find a, given that v(a) = 0.
-1, 1, 2
Let j be ((-25)/15)/(2/(-36)). What is u in -5*u**3 + 17*u - 20 - 31*u - 31*u + 0*u**2 - j*u**2 = 0?
-4, -1
Suppose -5*u + 95 = -80. Let r be (-14)/(-12)*55/u. Let -41/6*a**3 + 14/3*a**4 + 0*a**2 + r*a + 1/3 = 0. Calculate a.
-2/7, -1/4, 1
Find t such that -2/7*t**3 + 8/7*t**2 + 0 + 24/7*t = 0.
-2, 0, 6
Factor 34/5 - 2/5*y**2 + 32/5*y.
-2*(y - 17)*(y + 1)/5
Let y = 624 - 619. Let i(d) be the third derivative of -1/15*d**4 - 2/75*d**y + 0*d - 1/300*d**6 + 0 + 0*d**3 + 2*d**2. Let i(s) = 0. Calculate s.
-2, 0
Let g(s) be the second derivative of 2*s**6/75 - 4*s**5/5 + 33*s**4/5 + 8*s**3/3 - 40*s**2 - 96*s + 1. Solve g(v) = 0 for v.
-1, 1, 10
Factor -18/7*s - 2/7*s**2 + 20/7.
-2*(s - 1)*(s + 10)/7
Let l(x) be the first derivative of 3*x**5/20 + 33*x**4/8 + 169*x**3/4 + 198*x**2 + 432*x + 4. Factor l(k).
3*(k + 3)**2*(k + 8)**2/4
Let m = 109 + -109. Let i(j) be the third derivative of -2/945*j**7 + 1/135*j**5 + 0*j**3 - 1/108*j**4 + 0*j + 1/1512*j**8 + m + 0*j**6 + 7*j**2. Factor i(f).
2*f*(f - 1)**3*(f + 1)/9
Let n(s) = 13*s**2 + s - 2. Let f be n(1). Factor 10 + 2*y**3 - 2 + 18*y - 2 + 2 + f*y**2.
2*(y + 1)**2*(y + 4)
Let k = -69587532739/2145 + 32441741. Let a = 2/429 + k. Solve -29/5*x**4 + 4/5*x**2 + 0 - 28/5*x**5 - a*x + 57/5*x**3 = 0 for x.
-2, -2/7, 0, 1/4, 1
Suppose -2*k - 24 = -4*l - 4*k, -2*k - 8 = 0. What is c in 2*c - l - 2*c**2 - 9*c - c = 0?
-2
Let y be -11*((-6)/5 + 1). Suppose 2*h - 5*m - 6 = 0, 3*h - 44*m - 9 = -39*m. Find c such that -16/5*c**2 + 7/5*c**h - 2/5 + y*c = 0.
2/7, 1
Let b = 4004 - 20017/5. Let 1/10*a**2 + 9/10 + b*a = 0. What is a?
-3
Suppose -128/7 - 220/7*t**2 + 18/7*t**3 + 624/7*t = 0. What is t?
2/9, 4, 8
Let m(p) be the third derivative of p**6/420 - 17*p**5/35 + 289*p**4/7 - 39304*p**3/21 - 289*p**2. Solve m(h) = 0.
34
Let r(v) = 11*v**3 + 37*v**2 + 82*v + 44. Let o(l) = -20*l**3 - 75*l**2 - 165*l - 90. Let g(k) = -3*o(k) - 5*r(k). Determine w so that g(w) = 0.
-5, -2, -1
Let n(v) = -v. Let y = -6 - -1. Let r be n(y). Solve -l**5 - 7*l**5 + 6*l**2 + 3*l**3 - 6*l**4 + r*l**5 = 0.
-2, -1, 0, 1
Let o be ((-1)/(-10))/(9/81). Let h(v) be the second derivative of -4*v**2 + o*v**6 - 27/20*v**5 + 14/3*v**3 + 0 + 3*v - 3/2*v**4. Factor h(k).
(k + 1)*(3*k - 2)**3
Let j(s) be the first derivative of -s**3 + 21*s**2/2 - 18*s + 22. Factor j(f).
-3*(f - 6)*(f - 1)
Let z(t) be the second derivative of t**6/180 + t**5/60 - t**4/2 + 9*t**3/2 + 13*t. Let a(x) be the second derivative of z(x). Find k, given that a(k) = 0.
-3, 2
Suppose c + 2*r - 132 = -4*c, 4*c - r - 116 = 0. Suppose c*t = 32*t - 20. Determine k so that 3/4*k**t - k**4 + 0*k**2 + 0 + 0*k + 1/4*k**3 = 0.
0, 1/3, 1
Let i(w) be the second derivative of -1/11*w**2 - 2/33*w**3 - 6*w + 0 - 1/66*w**4. Factor i(q).
-2*(q + 1)**2/11
Let y(a) be the third derivative of -a**7/105 - 41*a**6/15 - 1093*a**5/5 + 3403*a**4/3 - 6889*a**3/3 + 414*a**2. Factor y(h).
-2*(h - 1)**2*(h + 83)**2
Let c be (-5)/(-3195)*290 + 6/27. Let r = -2/213 + c. Let 2/3*q**2 - 2/3*q + 2/3*q**3 - r = 0. What is q?
-1, 1
Determine s so that -13/6*s**2 + 2*s - 1/6*s**4 + s**3 - 2/3 = 0.
1, 2
Let q(x) = -x**3 - x**2 + x. Let i(l) = l**4 - 9*l**3 - 45*l**2 - 59*l - 18. Let r(z) = i(z) + 6*q(z). Determine p, given that r(p) = 0.
-1, 18
Suppose -254 = -8*o + 98. Let s be o/60 - (-4 - 66/(-15)). Find p, given that p**2 - p - 1/3*p**3 + s = 0.
1
Factor -9801/2 - 99*z - 1/2*z**2.
-(z + 99)**2/2
Solve 4*x + 5*x - 27 + 3 + x**2 - 19*x = 0.
-2, 12
Let p(a) be the first derivative of a**6/8 - 27*a**5/20 + 45*a**4/8 - 23*a**3/2 + 99*a**2/8 - 27*a/4 - 102. Find u such that p(u) = 0.
1, 3
Let q = -98 + 78. Let f(v) = 16*v**4 + 4*v**3 - 36*v**2 + 20*v. Let r = 8 + -9. Let j(y) = -y**4 + y**3 - y. Let p(x) = q*j(x) + r*f(x). Factor p(c).
4*c**2*(c - 3)**2
Let c(l) be the first derivative of -5/18*l**3 + 1/4*l**2 + 2 + 1/3*l. Factor c(r).
-(r - 1)*(5*r + 2)/6
Let v(w) = -4*w - 24*w**2 + 2*w - 2 + 31*w**2. Let i be v(1). Let 0*j + 0 + 0*j**2 + 4/3*j**i = 0. What is j?
0
Let u(y) be the first derivative of -3/4*y - 9/2*y**3 + 2 - 39/20*y**5 + 3/8*y**6 + 33/8*y**4 + 21/8*y**2. Determine k, given that u(k) = 0.
1/3, 1
Suppose b = 3*b - 2*k - 52, -3*b + 48 = 3*k. Let u = -17 + b. Factor -39 - u*s**2 + 39 - 8*s.
-4*s*(s + 2)
Let p be (-1)/(-3) - 280/(-1290). Let c = p - -5/43. Solve -4/9*i**3 - 2/3*i**4 - 2/9*i**5 + 2/9 + c*i + 4/9*i**2 = 0 for i.
-1, 1
Factor -45/2 - 2*r + 1/2*r**2.
(r - 9)*(r + 5)/2
Let t(s) = -19*s**2 + 115*s - 107. Let a(h) = 10*h**2 - 58*h + 54. Let v(w) = -11*a(w) - 6*t(w). Factor v(m).
4*(m - 12)*(m - 1)
Factor -1 + 1/2*q**2 + 1/2*q.
(q - 1)*(q + 2)/2
Let p be (-1)/((4/3)/(-4)). Factor 10*i - 12*i**p - i**2 + 4*i**4 + 2*i + 0*i**2 - 3*i**2.
4*i*(i - 3)*(i - 1)*(i + 1)
Factor 22/9*u**2 + 0 + 2/9*u**3 + 20/9*u.
2*u*(u + 1)*(u + 10)/9
Suppose -3*x + 19 = o, 14*o - 15*o = -4*x + 23. Let v(j) be the second derivative of j**4 + 2*j - x*j**2 + 1/5*j**5 - 2/3*j**3 + 0. Factor v(a).
4*(a - 1)*(a + 1)*(a + 3)
Let v(h) be the second derivative of h**9/7560 - h**8/3360 - h**4/4 + h**2/2 - h - 11. Let j(f) be the third derivative of v(f). Factor j(l).
2*l**3*(l - 1)
Let y(t) be the second derivative of -t**7/630 + t**6/90 - 2*t**4/3 - 7*t. Let u(s) be the third derivative of y(s). Factor u(z).
-4*z*(z - 2)
Let w(d) be the third derivative of d**8/84 - 8*d**7/21 + 21*d**6/5 - 196*d**5/15 - 343*d**4/6 - 10*d**2 + 2*d. Find a, given that w(a) = 0.
-1, 0, 7
Let k = -45 - -70. Let w be ((-2)/10)/((-15)/k). Factor 0 + w*z**4 + 1/3*z + z**2 + z**3.
z*(z + 1)**3/3
Factor 0 - 26/5*h**3 + 24/5*h**4 + 8/5*h**2 + 0*h - 9/10*h**5.
-h**2*(h - 4)*(3*h - 2)**2/10
Let i = 17 + 73. Let f = -351/4 + i. What is b in -3/4 + 3/4*b**5 + 3/2*b**3 + f*b**4 - 3/2*b**2 - 9/4*b = 0?
-1, 1
Let h(m) = 3*m**2 + 15*m - 25. Let o(b) = -8*b**2 - 46*b + 70. Let s(c) = -14*h(c) - 5*o(c). Factor s(u).
-2*u*(u - 10)
Let m be ((-6)/162)/(((-80)/(-3))/(-4)). Let l(p) be the third derivative of 1/72*p**4 + 0 - m*p**5 + 1/9*p**3 - p**2 + 0*p. Let l(b) = 0. Calculate b.
-1, 2
Suppose -2*k + 2*w + w + 1 = 0, -2 = -2*k + 2*w. Let p be (-8*k)/4 - -8 - 2. Factor -2*l**p + 10/3*l - 4/3.
-2*(l - 1)*(3*l - 2)/3
Let j(n) = 2*n**2 - 8*n + 3. Let a be j(5). Factor -41*o**4 + a*o**4 + 20*o**3 - 5*o**2 + 12*o**5 + o**2.
4*o**2*(o - 1)**2*(3*o - 1)
Let x(c) be the second derivative of c**4/3 + 118*c**3/3 - 120*c**2 - c - 42. Determine w, given that x(w) = 0.
-60, 1
Suppose 2*v - 590 = -582. Let n(p) be the first derivative of 0*p - 5 - 2/5*p**5 - 1/6*p**6 + 1/2*p**2 + 2/3*p**3 + 0*p**v. Solve n(u) = 0 for u.
-1, 0, 1
Let g be ((-2928)/224 - 3)*16/(-10). Suppose 3/7*v**4 + g*v**2 + 48*v + 192/7 + 39/7*v**3 = 0. Calculate v.
-4, -1
Let y(i) be the first derivative of 4*i - 2/3*i**3 + i**2 + 7. Factor y(s).
-2*(s - 2)*(s + 1)
Let v = -1421 + 1435. Let i(a) be the third derivative of -1/210*a**5 + 1/420*a**6 + 0*a - 1/84*a**4 + v*a**2 + 0*a**3 + 0 + 1/735*a**7. Factor i(c).
2*c*(c - 1)*(c + 1)**2/7
Let v(y) = -y**2 + 55*y + 368. Let g be v(-6). Let 7*w**g + 10*w + 3/2*w**3 + 4 = 0. Calculate w.
-2, -2/3
Suppose 0 = 2*c - 7*c + 4*f + 136, 28 = 2*c + 5*f. Let k be (4 - -14)*(3/c - 0). What is i in k*i + 3/4*i**3 - 3/4 - 9/4*i**2 = 0?
1
Let t = 57/448 - -1/64. Let o be 270/42 + -6*1. Determine q so that -o*q**4 + 3/7*q**2 - t*q**5 + 0 - 1/7*q**3 + 2/7*q = 0.
-2, -1, 0, 1
Suppose -5*p - 5*g = 10, 2 - 11 = -3*g. Let v(f) = -f**2 + 4*f. Let o(q) = -4*q + q - 2*q + q**2. Let i(c) = p*v(c) - 4*o(c). Determine l, given that i(l) = 0.
0
Factor -25*r**3 - 21*r**4 - 6336*r**5 - 23*r**3 - 27*r**2 + 6333*r**5 - 9*r**2.
-3*r**2*(r + 2)**2*(r + 3)
Factor 7425*o**2 + 171*o**3 + 241*o**3 + 24468*o - 37*o**3 + 24537*o + 107811.
3*(5*o + 33)**3
Factor -900*y**3 + 12*y**4 - y**5 - 3*y**4 + 886*y**3.
-y**3*(y - 7)*(y - 2)
Let d(m) be the third derivative of -1/24*m**4 - m**3 + 0 + 0*m + 1/60*m**5 + 15*m**2. Factor d(n).
(n - 3)*(n + 2)
Factor 32 + 112/3*f + 