**2*(r - 2)*(r - 1)**2/7
Let a(s) be the second derivative of -2*s**7/189 - s**6/27 - s**5/90 + s**4/27 - 291*s. Find i such that a(i) = 0.
-2, -1, 0, 1/2
Let n(x) = x**3 - 16*x**2 - 49*x - 596. Let l be n(20). What is i in 10/3*i**2 - l*i + 14/3 = 0?
1/5, 7
Let n(a) be the second derivative of -5*a**6/2 + 12*a**5 + 19*a**4 + 8*a**3 + 61*a + 3. Factor n(s).
-3*s*(s - 4)*(5*s + 2)**2
Let c(y) be the first derivative of 2/25*y**5 + 36 - 1/15*y**6 + 0*y + 1/5*y**4 + 0*y**2 + 0*y**3. Factor c(r).
-2*r**3*(r - 2)*(r + 1)/5
Let d(v) be the third derivative of -v**5/390 + 11*v**4/78 + 25*v**3/13 - v**2 - 18. What is y in d(y) = 0?
-3, 25
Find s, given that 90*s**4 - 28*s**3 + 22*s**3 - 88*s**4 = 0.
0, 3
Let x(m) be the second derivative of -m**7/294 + m**6/30 - 3*m**5/70 + 34*m. Factor x(r).
-r**3*(r - 6)*(r - 1)/7
Suppose -3/2*b**4 + 30*b + 0 - 3/2*b**5 + 63/2*b**3 + 123/2*b**2 = 0. Calculate b.
-4, -1, 0, 5
Let j = 292973/72 + -4069. Let x(h) be the third derivative of 4*h**2 + 1/360*h**6 - 1/45*h**5 + 0 + j*h**4 - 1/9*h**3 + 0*h. Factor x(l).
(l - 2)*(l - 1)**2/3
Let -360*h + 10*h**2 + 11*h**2 - 24*h**2 - 14472 + 3672 = 0. What is h?
-60
Let h(l) be the second derivative of 0*l**3 + 1/18*l**4 + 0 - 1/3*l**2 + l. Let h(f) = 0. Calculate f.
-1, 1
Let p(t) be the second derivative of t**5/4 - 5*t**4/4 - 5*t**3 + 20*t**2 - 4*t + 5. Find u such that p(u) = 0.
-2, 1, 4
Factor 3/2*f**4 - 1/10*f**5 - 15/2*f**3 + 0*f + 0 + 25/2*f**2.
-f**2*(f - 5)**3/10
Let f(y) = -y**2 + 10*y + 11. Let i be f(5). Suppose 5*r + 0*r - i = a, -5*a = -r + 12. Solve 1 + 2*o**4 - 24*o - 12*o**3 + 19*o**2 + r + 7*o**2 = 0.
1, 2
Let p be -4 + 6 + 0/7. Factor -2/9*o**p + 4/3*o - 2.
-2*(o - 3)**2/9
Let n(d) be the third derivative of 0 + 1/60*d**6 + 1/168*d**8 + 7*d**2 - 4/105*d**7 - 1/3*d**4 + 0*d - 8/3*d**3 + 1/3*d**5. Suppose n(g) = 0. Calculate g.
-1, 2
Let r(n) = n**2 - 43*n. Let y(d) = 2*d**2 - 50*d. Let x(w) = 5*r(w) - 4*y(w). Determine j so that x(j) = 0.
-5, 0
Let d(w) be the first derivative of 1/4*w**3 + 0*w - 3 - 3/20*w**5 + 3/8*w**2 - 3/16*w**4. What is a in d(a) = 0?
-1, 0, 1
Let f(p) be the third derivative of p**8/504 + p**7/105 + p**6/90 + 31*p**2 + 3*p. Solve f(u) = 0 for u.
-2, -1, 0
Let l(i) be the first derivative of 4*i**3/21 + 108*i**2/7 - 684*i/7 - 680. Solve l(c) = 0.
-57, 3
Suppose -m = m + 2*z - 4, -2*m + 3*z - 6 = 0. Solve 0 + 1/5*c**3 + m*c**2 + 0*c + 1/5*c**4 = 0 for c.
-1, 0
Suppose 25 = 11*j - 6*j. Suppose j = 5*g - 15. Factor -4*l**2 + 7*l**3 - g*l**3 - l**3.
2*l**2*(l - 2)
Suppose -j - j = 0. Let s be 2/2 - 92/230. Determine q, given that -6/5*q + j - s*q**2 = 0.
-2, 0
Let h be (-2 + 18)*(-1)/(-2). Suppose -13 = -7*m + h. Factor -101*c - 180*c**2 + 42*c - 37*c - 16 - 100*c**m.
-4*(c + 1)*(5*c + 2)**2
Let f(v) be the first derivative of -35*v**3/3 + 45*v**2/2 - 10*v + 189. Factor f(y).
-5*(y - 1)*(7*y - 2)
Factor 3/4*c**2 - 3/4 + 0*c.
3*(c - 1)*(c + 1)/4
Let b(y) be the second derivative of -y**6/6 - 7*y**5/4 + 45*y**4/4 - 145*y**3/6 + 25*y**2 + 4*y - 31. Factor b(j).
-5*(j - 1)**3*(j + 10)
Let x = -119 + 118. Let a be x/2 - 5/(-2). Solve -1/4*y - 1/4*y**a + 0 = 0.
-1, 0
Let y(r) = 3*r**4 - 30*r**3 - 33*r**2 - 6*r + 6. Let s(x) = -x + 1. Let l(a) = 6*s(a) - y(a). Factor l(p).
-3*p**2*(p - 11)*(p + 1)
Let g(f) be the first derivative of f**6/3 - 24*f**5/5 + 13*f**4 + 8*f**3 - 27*f**2 - 480. Solve g(r) = 0.
-1, 0, 1, 3, 9
Suppose 8*n = 22*n - 2*n. Determine x, given that n - 3/2*x**4 - 3*x**3 + 0*x + 0*x**2 = 0.
-2, 0
Let c be 0/((6/(-2))/(-3)). Let k be (0/(-2))/((-9 - -6) + 5). What is w in c*w - w**3 + k + 0*w**2 + 1/2*w**4 = 0?
0, 2
Let u = 126302/7287 + 2/2429. Let c = 9610/3 + -3198. What is h in -u*h**2 + 16*h - 4/3*h**4 - c + 8*h**3 = 0?
1, 2
Let d = -20 + 33. Suppose 4 - 17*x**2 - 45*x - 3*x**3 - d*x**2 - 31 + 9*x**2 = 0. What is x?
-3, -1
Let x be 19/(285/(-110)) + 8 + (-34)/(-12). Find v, given that -11/2*v + 8*v**2 - x*v**3 + 1 = 0.
2/7, 1
Suppose 324/5 - 1/5*s**3 + 21/5*s**2 - 144/5*s = 0. What is s?
6, 9
Let r(m) be the second derivative of m**5/130 - 80*m**4/39 + 317*m**3/39 - 158*m**2/13 + 501*m. Factor r(j).
2*(j - 158)*(j - 1)**2/13
Suppose 0 = -4*a + 7*a - 18. Let q(h) = 6*h**2 - 3*h + 1. Let j(g) = 7*g**2 - 3*g + 2. Let d(p) = a*q(p) - 5*j(p). Let d(b) = 0. What is b?
-1, 4
Let i = -29 - -38. Let n be i/9 - 3/(-1). Factor -6/7*h - 6/7*h**n + 4/7*h**3 + 2/7*h**5 + 4/7*h**2 + 2/7.
2*(h - 1)**4*(h + 1)/7
Let i(d) be the third derivative of d**9/20160 - d**8/1680 - d**7/336 + d**5/30 + 9*d**2. Let y(u) be the third derivative of i(u). Factor y(a).
3*a*(a - 5)*(a + 1)
Let i = 10/13 - 27/52. Factor 0*u - i*u**2 + 0.
-u**2/4
Let i = -2 + 6. Let s be ((-2)/(-7))/(i/28). Let 8*y**4 + 8*y**3 - 8*y - 19 + 0*y**4 + 17 - 6*y**s = 0. What is y?
-1, -1/2, 1
Let i be (-136)/22 + (-2)/(-11). Let v be 260 - i/(0 + -3). Factor 252*c**3 - 12 + v*c**3 - 60*c + 449*c**3 + 189*c**2 + 13*c**3.
3*(4*c - 1)*(9*c + 2)**2
Let b(g) be the first derivative of -7*g**6/90 - 13*g**5/30 - 5*g**4/9 + 4*g**3/9 - 12*g + 21. Let l(x) be the first derivative of b(x). Factor l(c).
-c*(c + 2)**2*(7*c - 2)/3
Let m be (0 + 30/36)/((-6)/(-1244)). Let z = 173 - m. Factor -z*y**5 - 2/9*y + 2/9 + 4/9*y**3 - 4/9*y**2 + 2/9*y**4.
-2*(y - 1)**3*(y + 1)**2/9
Let z(a) be the second derivative of 1/7*a**3 + 1/210*a**5 - 4*a + 0 + 1/21*a**4 + 4/21*a**2. Solve z(b) = 0 for b.
-4, -1
Suppose -5*o + 117 = -83. Let q = 121/3 - o. Find k such that 0*k - 1/3 + 2/3*k**2 + 0*k**3 - q*k**4 = 0.
-1, 1
Let z(t) be the third derivative of -t**5/20 - 43*t**4/72 + 5*t**3/9 + 10*t**2 - 10*t. Solve z(q) = 0.
-5, 2/9
Let a(z) be the first derivative of -1/36*z**4 + z + 6 - 1/9*z**3 - 1/6*z**2. Let u(j) be the first derivative of a(j). Determine p, given that u(p) = 0.
-1
Let c(y) be the third derivative of -y**8/392 - 34*y**7/735 - 83*y**6/420 + 2*y**5/5 + 3*y**4/7 + 39*y**2 - 3*y. Suppose c(b) = 0. Calculate b.
-6, -1/3, 0, 1
Let 170/3*m + 12*m**2 - 2/3*m**3 + 44 = 0. Calculate m.
-3, -1, 22
Let a be 11 - (-1 - (-5 - 7)). Find f such that -f**4 + 1/3*f**5 - 1/3*f**3 + 0 + f**2 + a*f = 0.
-1, 0, 1, 3
Let u(p) = -4*p**2 - 430*p - 212. Let h be u(-107). Determine j so that 8/7 + 0*j - 2/7*j**h = 0.
-2, 2
Let i(s) be the third derivative of -s**5/120 - 7*s**4/12 - 49*s**3/3 - 2*s**2 - 38. Factor i(k).
-(k + 14)**2/2
What is c in -3/5*c**4 + 0 + 0*c + 3/5*c**3 + 0*c**2 = 0?
0, 1
Let r be (32/(-20))/(((-60)/(-18))/(-5)). Factor -3/5*u**4 - r + 18/5*u**3 - 39/5*u**2 + 36/5*u.
-3*(u - 2)**2*(u - 1)**2/5
Let r(q) be the second derivative of q**6/30 + 17*q**5/100 + 4*q**4/15 + 2*q**3/15 + 107*q. Factor r(p).
p*(p + 1)*(p + 2)*(5*p + 2)/5
Suppose 3*a**3 - 12*a**3 + 4*a**4 + a**4 - 21*a**3 + 50*a + 15*a**2 = 0. Calculate a.
-1, 0, 2, 5
Let n = -1/1087 - -1177/97830. Let b(u) be the second derivative of 1/54*u**4 + 0*u**2 - n*u**5 + 0 + 8*u + 0*u**3. Determine p so that b(p) = 0.
0, 1
Let a(h) be the first derivative of -h**5/5 - h**4/3 + 2*h**3/3 + 5*h**2 + 16. Let w(o) be the second derivative of a(o). Let w(y) = 0. What is y?
-1, 1/3
Suppose 16*q + 17 = 65. Let u(p) be the first derivative of -q - 6/5*p + p**2 - 2/15*p**3 - 1/10*p**4. Factor u(l).
-2*(l - 1)**2*(l + 3)/5
Let v(g) = -g**3 - g**2 + g - 1. Let n be (-26)/351 - (-332)/108. Let a(s) = 25*s**3 - 4 - 4*s - 3*s - s**2 - s**2. Let m(t) = n*a(t) - 6*v(t). Factor m(r).
3*(3*r - 2)*(3*r + 1)**2
Let v(h) = -2*h**2 + 15*h - 15. Let c be v(6). Factor 20*j + 11*j**c - 12*j**3 - 16*j + 4 - j**2.
-(j - 2)*(j + 1)*(j + 2)
Let s(m) be the second derivative of -1/5*m**2 - 1/25*m**5 - 22*m + 0 + 0*m**6 + 1/210*m**7 + 1/10*m**3 + 1/30*m**4. Determine k, given that s(k) = 0.
-2, -1, 1
Let q(p) be the third derivative of -p**6/40 - 2*p**5/5 - 13*p**4/8 - 3*p**3 - 5*p**2. Let q(u) = 0. Calculate u.
-6, -1
Let x(t) be the third derivative of -t**6/12 - 4*t**5/15 + 11*t**4/3 - 16*t**3/3 - 139*t**2. Factor x(a).
-2*(a - 2)*(a + 4)*(5*a - 2)
Let -136/5*p**4 - 40*p**2 - 28/5*p + 16/5 - 4*p**5 - 272/5*p**3 = 0. What is p?
-4, -1, 1/5
Let s(w) be the second derivative of 0*w**3 + 0*w**2 + 9*w - 1/42*w**4 + 0 + 1/70*w**5. Suppose s(g) = 0. What is g?
0, 1
Let i(q) = -7*q + 187. Let j be i(26). Let k(h) be the first derivative of -h + j + 1/2*h**4 - 1/6*h**6 + 2/3*h**3 - 1