**3*(f + 3)/5
Let i be (-8 - -8)*1/((-2)/2). Factor 0 - 2/7*m**2 + 2/7*m**4 + i*m**3 + 0*m.
2*m**2*(m - 1)*(m + 1)/7
Suppose -u - 1 = -m, -5*u + 3*m = 8*m - 25. Suppose -2*t - 2*k = t + 2, -u*k = 4*t. Suppose 14*j + 4*j - 2 - 32*j**2 - t*j = 0. What is j?
1/4
Let d(o) be the third derivative of -o**6/600 - 11*o**5/75 - 121*o**4/30 + 53*o**2 + o. Factor d(a).
-a*(a + 22)**2/5
Let r(h) = -1. Let b(v) = 4*v**2 + v + 2. Let i(y) = 5*y**2 + y + 3. Let a(x) = -4*b(x) + 3*i(x). Let g(j) = -5*a(j) - 5*r(j). Factor g(q).
5*q*(q + 1)
Suppose 0 = -21*m + 20*m + 2. Let s be 36/24 + (-3)/2. What is b in -2/7*b + 2/7*b**m + s = 0?
0, 1
Let o(f) be the first derivative of f**6/8 - 81*f**5/4 + 14265*f**4/16 - 13465*f**3/4 + 4950*f**2 - 3267*f - 203. Factor o(c).
3*(c - 66)**2*(c - 1)**3/4
Let k be 10/3 + 1/(-3). Suppose 3*q + 1 = 7. Solve -3/2*b**q + 9/2*b - k = 0.
1, 2
Factor 4/5 - 24/5*u + 11/5*u**2.
(u - 2)*(11*u - 2)/5
Suppose -w - 7*w + 376 = 0. Let t = w + -421/9. Find c such that -4/9*c - t*c**2 + 0 = 0.
-2, 0
Let q(a) be the second derivative of 1/210*a**5 - a - 2/21*a**4 + 0 + 16/21*a**3 + a**2. Let j(z) be the first derivative of q(z). Find r, given that j(r) = 0.
4
Suppose 7 = h + 2*k, 4*h + 2*k = h + 5. Let x be ((-4)/6)/(90/54)*h. Find m, given that 4/5 + 2/5*m - x*m**2 = 0.
-1, 2
Suppose 0 = -29*q + 34*q - 395. Let c = q + -79. Let c + 1/5*w - 1/5*w**2 = 0. Calculate w.
0, 1
Let o(y) be the first derivative of 11*y**4/42 + 10*y**3/21 + 4*y**2/21 + 118. Find w such that o(w) = 0.
-1, -4/11, 0
Let c(h) be the second derivative of -h**7/1512 + h**6/216 - h**5/72 - 19*h**4/12 - 33*h. Let g(f) be the third derivative of c(f). Factor g(p).
-5*(p - 1)**2/3
Determine w, given that -26 - 29*w**2 + 7*w + 27*w**2 + 46*w = 0.
1/2, 26
Let i be 1 + 4/2160 + -1. Let x(t) be the third derivative of -2/27*t**3 + 0*t + 1/135*t**5 + 1/108*t**4 - i*t**6 + 6*t**2 + 0. Solve x(a) = 0.
-1, 1, 2
Find i, given that -4*i**4 - 28*i**3 + 7*i - 4*i - 3*i + 8*i**3 + 56*i**2 = 0.
-7, 0, 2
Suppose 4*f - 12 = 2*f. Let k be 10/f*(-1 + 4). Factor -k*h + 6 + 10*h**3 + 50*h + 98*h**2 + 50*h**3 + h**2.
3*(h + 1)*(4*h + 1)*(5*h + 2)
Let x = -378 - -384. Let f = 2 + 10. Find a, given that -f*a**2 + 2 - x - 2*a + 14*a**2 = 0.
-1, 2
Let v(h) be the first derivative of -4/3*h**3 + 1 + 2*h**2 + 0*h. Factor v(t).
-4*t*(t - 1)
Factor -1/9*k**5 + 0 - 5/3*k**3 + 13/9*k**2 - 4/9*k + 7/9*k**4.
-k*(k - 4)*(k - 1)**3/9
Let r(g) = -12 + 18 - g - 14*g - 19. Let k be r(-1). Factor 4/3*j**4 + 0*j + 0*j**k + 4/3*j**3 + 0.
4*j**3*(j + 1)/3
Let s be (-16)/112 + 3/21. Let z(n) be the third derivative of s*n - 1/240*n**5 + 0 + 1/12*n**3 - 1/96*n**4 - 2*n**2. Factor z(t).
-(t - 1)*(t + 2)/4
Let a(x) be the first derivative of -46/33*x**3 + 16/33*x**6 - 9/11*x**2 + 48/55*x**5 + 50 - 2/11*x - 7/22*x**4. Find z such that a(z) = 0.
-1, -1/4, 1
Let j(v) = -2*v**2 + 18*v + 65. Let w(h) = -6*h**2 + 52*h + 200. Let u(t) = -8*j(t) + 3*w(t). Factor u(q).
-2*(q - 10)*(q + 4)
Let i(d) be the third derivative of 0*d - 1/6*d**4 + 2/3*d**3 + 3*d**2 + 0 - 1/15*d**5 + 1/30*d**6. Determine k so that i(k) = 0.
-1, 1
Let i(y) = -15*y**4 + 38*y**3 - 23*y**2 + 4*y + 5. Let f(v) = 16*v**4 - 39*v**3 + 24*v**2 - 7*v - 6. Let a(q) = 3*f(q) + 4*i(q). Find n, given that a(n) = 0.
-1/3, 1/4, 1, 2
Let p(x) be the first derivative of 5*x**6/6 - 6*x**5 + 15*x**4 - 50*x**3/3 + 15*x**2/2 + 94. Factor p(y).
5*y*(y - 3)*(y - 1)**3
Let r = -3801/20 - -954/5. Factor r*b + 0 - b**2 + 1/4*b**3.
b*(b - 3)*(b - 1)/4
Let x(i) be the first derivative of i - 1/3*i**3 - 18 + 0*i**2. Factor x(p).
-(p - 1)*(p + 1)
Let o(w) = 5*w - 107. Let m be o(22). Let i(p) be the first derivative of -2 + 18/7*p + 6/7*p**2 + 2/21*p**m. Factor i(z).
2*(z + 3)**2/7
Let b(w) be the third derivative of w**5/20 + 101*w**4/2 + 20402*w**3 - w**2 + 318*w. What is x in b(x) = 0?
-202
Let a(w) be the first derivative of 4*w**5/35 + 2*w**4/7 - 16*w**3/7 + 4*w**2 - 20*w/7 - 22. Factor a(i).
4*(i - 1)**3*(i + 5)/7
Let d = -1532 + 1532. Let i(h) be the third derivative of 1/180*h**6 + 0*h**5 + 0*h**3 + 0*h**4 + 1/126*h**8 - 1/63*h**7 + d*h + 5*h**2 + 0. Factor i(p).
2*p**3*(p - 1)*(4*p - 1)/3
Suppose 0 = -3*d - 9 + 27. Let t be 32/14 + d/(-21). Factor 3 + 10*m - 20*m + 2*m**3 - 2*m**t - 9.
2*(m - 3)*(m + 1)**2
Let d = 2027/90 + -319/18. Suppose -21/5*b**2 + 6*b + d = 0. Calculate b.
-4/7, 2
Solve 1110*r**3 + 4*r**4 - 250860*r + 126585 + 201100 - r**4 + 59345*r**2 - 72305 + 2*r**4 = 0 for r.
-113, 2
Let p(s) = -s**2 + s. Let o(m) = m**3 - m. Suppose -17 = -3*g - g + 3*l, l = -3*g + 3. Let r(x) = g*p(x) + o(x). Factor r(c).
c*(c - 1)**2
Suppose 4*p - 11 = -f - 32, 4*f - 36 = 4*p. What is l in 0 - 2*l**4 - 22/3*l**f - 10/3*l**2 + 2*l = 0?
-3, -1, 0, 1/3
Let l = -21273 - -106817/5. Let d = l - 90. Factor -32/5*m**3 - d - 18/5*m - 48/5*m**2.
-2*(m + 1)*(4*m + 1)**2/5
Let z(c) be the second derivative of -40*c**7/21 - 4*c**6/3 + 191*c**5/4 - 200*c**4/3 - 290*c**3/3 - 40*c**2 + 75*c. Let z(n) = 0. Calculate n.
-4, -1/4, 2
Let q = 7 + -4. Suppose -2*h**2 - 80 - 28*h - 6*h**2 - 12*h + q*h**2 = 0. Calculate h.
-4
Let m(n) be the second derivative of 2*n + 0 + 1/3*n**7 + 2/3*n**3 + 0*n**2 + 1/3*n**6 - 9/10*n**5 - 5/6*n**4. Find i such that m(i) = 0.
-1, 0, 2/7, 1
Let z(s) be the third derivative of s**7/210 + s**6/24 + s**5/15 + 2*s**2 - 8. Factor z(p).
p**2*(p + 1)*(p + 4)
Suppose 2*j - p - 99 = 0, 2*j + 49 = 3*j - p. Let r be (j/20)/((-10)/(-8)). Determine c, given that -4/3*c - 2/3 - 2/3*c**r = 0.
-1
Let a = 28323549/73423372 - -9575/59356. Let j = a - 2/1237. Factor 14/11*l - 4/11 - j*l**2.
-2*(l - 2)*(3*l - 1)/11
Let a(i) be the first derivative of i**9/864 + i**8/210 + 11*i**7/1680 + i**6/360 + 9*i**3 + 4. Let w(m) be the third derivative of a(m). Factor w(j).
j**2*(j + 1)**2*(7*j + 2)/2
Suppose -14*x + 1760 = 38. Let n = 126 - x. Factor 0 - 3/2*s**2 - 9/4*s**n + 0*s.
-3*s**2*(3*s + 2)/4
Let x(p) be the first derivative of -p**2 + 0*p + 3 - 2/9*p**3 - 1/18*p**4 - 1/180*p**5. Let d(r) be the second derivative of x(r). Factor d(h).
-(h + 2)**2/3
Suppose 2*d - 2*r - 2 = 0, -d + 0*d = 3*r - 13. Determine l so that 10*l**2 - 2 - 7*l**d + l - 7*l - 5*l**5 + 4*l**3 - l**4 + 7*l = 0.
-1, 2/5, 1
Factor 0 + 0*z + 1/5*z**5 + 0*z**2 - 2/5*z**3 + 1/5*z**4.
z**3*(z - 1)*(z + 2)/5
Factor -2/9*n**2 + 356/9*n - 15842/9.
-2*(n - 89)**2/9
Let u(c) = -c**3 + 9*c**2 - 9*c + 8. Let q(y) = 6*y - 40. Let k be q(8). Let m be u(k). Find n, given that 0 + 2/5*n**3 + m*n**2 + 0*n = 0.
0
Determine k, given that -147/4 - 21/2*k - 3/4*k**2 = 0.
-7
What is q in 2/5*q**2 - 36/5 - 6/5*q = 0?
-3, 6
Let l(i) = 3852*i + 11558. Let w be l(-3). Factor 0*o - 8/3*o**w + 0 - 4/3*o**3 + 4/3*o**4.
4*o**2*(o - 2)*(o + 1)/3
Let c = -558 + 558. Let l(a) be the third derivative of c*a + 0 + 4/3*a**3 - 1/6*a**4 - 5*a**2 - 1/15*a**5. Suppose l(w) = 0. What is w?
-2, 1
Suppose 4*w - 5*a = 28, -29*w + 32*w - a - 10 = 0. Let c(r) be the first derivative of 12/7*r**w - 13 + 48/7*r + 1/7*r**3. Let c(l) = 0. What is l?
-4
Suppose -3*i - 3*w = -15, 0*i - 4*i + 20 = -3*w. Find d, given that -12*d**2 - 5*d**3 + 19*d**2 - 12*d**2 + d**5 + 4*d**i + 5*d**4 = 0.
-1, 0, 1
Let q = 2/10497 - -220433/20994. Factor 15/2*p + q*p**3 + 33/2*p**2 + 0 + 3/2*p**4.
3*p*(p + 1)**2*(p + 5)/2
Factor -3 - 19 - 5*c**2 - 12 - 30*c - 6.
-5*(c + 2)*(c + 4)
Let q(y) = -4*y**2 - 24*y + 12. Let p(o) = 8*o + 6. Let f(k) = 7*k + 5. Let m(g) = -7*f(g) + 6*p(g). Let j(a) = 12*m(a) - q(a). Factor j(x).
4*x*(x + 3)
Let k(l) = l + 9. Let x be k(-7). Factor 5*i**2 - 2*i**x + 2*i**2 - 3*i**2 - 6*i + 4.
2*(i - 2)*(i - 1)
Let o be -8 + (-6 - -9 - -5) + (-12)/(-11). Solve 6/11*w + 0*w**3 - o*w**2 - 6/11*w**5 + 0 + 12/11*w**4 = 0 for w.
-1, 0, 1
Suppose 4*s + 20 = -0, 0 = -q - s + 29. Suppose -2*v**5 - 8*v**2 - 8*v**4 - q - 12*v**3 - 32 - 2*v + 66 = 0. What is v?
-1, 0
Find g such that -4*g**3 + 16/15 - 14/15*g**4 - 2/15*g**2 + 4*g = 0.
-4, -1, -2/7, 1
Factor 4*q**3 - 4 - 43*q**2 + 10*q**2 + 5*q**3 - 1 + 39*q - 10.
3*(q - 1)**2*(3*q - 5)
Let n(a) be the third derivative of 0*a**4 + 0*a + 0*a**3 + 32*a**2 + 2/45*a**5 + 0 - 1/504*a**8 + 0*a**6 - 1/105*a**7. Factor n(s).
-2*s**2*(s - 1)*(s + 2)**2/3
Let c(x) be the first derivative of x**3/12 + 13*x**2/2 + 169*x + 1. Let c(g) = 0.