(h) = 0. What is h?
5
Find c such that -2/3*c**2 + 1/9*c**3 - 4/9*c + 8/3 = 0.
-2, 2, 6
Suppose -3*t - 72 = -12*t. Factor 8 + 0*d - 14 - t*d - 2*d**2.
-2*(d + 1)*(d + 3)
Let n be 14/4 + 2 - (-35 + 11)/(-8). Determine j, given that 0 - 1/2*j**4 + 1/2*j**5 + n*j**2 - j - 3/2*j**3 = 0.
-2, 0, 1
Find p such that 9*p**2 - 12*p - 4 - 3*p**4 - 64*p**3 + 41*p**3 + 29*p**3 - 8 = 0.
-1, 2
Let t(s) = -2*s - 4 + 0 + s. Let c be t(-6). Suppose 7 - 7 + f**c = 0. What is f?
0
Factor -40*b + 5/3*b**3 + 0 + 115/3*b**2.
5*b*(b - 1)*(b + 24)/3
Let a(f) be the first derivative of -f**4/7 + 8*f**3/3 + 30*f**2/7 - 6. What is h in a(h) = 0?
-1, 0, 15
Let t(f) be the first derivative of f**3 + 9*f**2/2 - 34. Factor t(b).
3*b*(b + 3)
Let s(w) be the first derivative of -w**3/15 + 22*w**2/5 - 484*w/5 - 258. Determine d, given that s(d) = 0.
22
Factor 100*n**2 + 756*n**4 - 16*n**5 - 712*n**4 + 12*n**5 - 140*n**3.
-4*n**2*(n - 5)**2*(n - 1)
Let f(t) = 4*t**5 + 66*t**2 + 3 - 66*t**2 + t - 5*t**3 + 3*t**4. Let o(v) = -17*v**5 - 13*v**4 + 21*v**3 - 4*v - 13. Let b(u) = -26*f(u) - 6*o(u). Factor b(g).
-2*g*(g - 1)**2*(g + 1)**2
Let o(h) = -66*h**5 - 214*h**4 - 228*h**3 - 90*h**2 - 6*h - 4. Let a(r) = -r**5 + r**4 - r**2 - r + 2. Let b(g) = -2*a(g) - o(g). Factor b(p).
4*p*(p + 1)**3*(17*p + 2)
Let h(a) be the second derivative of -a**4/42 - 2*a**3/21 - a**2/7 - 6*a - 8. Solve h(l) = 0 for l.
-1
Let v(h) = 4*h**4 + 10*h**3 - 10*h**2 + 8*h. Let q(x) = -8*x**4 - 19*x**3 + 21*x**2 - 20*x. Let j(t) = -6*q(t) - 13*v(t). Factor j(p).
-4*p*(p - 1)*(p + 1)*(p + 4)
Let c be (-6)/(-1*6/3). Solve -c*m + 2*m**3 - 3*m - 5*m**3 + 9*m**2 = 0.
0, 1, 2
Let d(w) be the second derivative of -18*w + 0 - 4/5*w**5 + 8/3*w**7 + 0*w**3 - 22/3*w**6 + 0*w**2 + 4/3*w**4. Suppose d(p) = 0. What is p?
-2/7, 0, 1/4, 2
Suppose 6*k**4 - 27*k + 3*k**4 + 6*k**2 - 15 - 868*k**5 + 865*k**5 + 30*k**3 = 0. What is k?
-1, 1, 5
Let i(t) be the second derivative of 13*t**6/15 - 66*t**5/5 + 7*t**4/6 + 44*t**3 - 20*t**2 + 836*t. Determine a, given that i(a) = 0.
-1, 2/13, 1, 10
Suppose 5*v + 26 = -u + 3*u, 3*u - 4*v = 25. Let s(c) be the third derivative of 0 + 1/300*c**5 + 0*c - 1/120*c**4 + u*c**2 + 0*c**3. Factor s(r).
r*(r - 1)/5
Suppose 3*p = -2*c + 407, 139 = 5*p - c - 535. What is q in 77 - p*q - 14*q**2 + 59*q**2 + 58 - 5*q**3 + 0 = 0?
3
Let b be 8/20*25/2. Suppose 3*m + 0*r - 10 = -4*r, 34 = b*m - 2*r. What is z in 320*z**5 - 4 + 3 + 173*z**2 + 70*z + m + 860*z**3 + 192*z**2 + 880*z**4 = 0?
-1, -1/4
Let i(j) = 8*j**3 - 5*j**2 - 25*j - 15. Let v(q) = -55*q**3 + 35*q**2 + 175*q + 105. Let s = 9 + -29. Let x(h) = s*i(h) - 3*v(h). Determine y so that x(y) = 0.
-1, 3
Let x = -1561/2 + 782. What is g in -3*g**2 + 3/4*g + 3/4*g**5 + 3/2 + 3/2*g**4 - x*g**3 = 0?
-2, -1, 1
Suppose k - 54 = -8*k. Factor -210*o**3 + k + 3*o - 36*o**2 + 12*o**4 + 12*o + 213*o**3.
3*(o - 1)**2*(o + 2)*(4*o + 1)
Let y(k) = k**2 - 400*k + 3582. Let q be y(9). Determine x so that -q*x - 147 - 9*x**2 - 3/7*x**3 = 0.
-7
Let g = -36 + 26. Let p(h) = -h**2 - 10*h + 3. Let k be p(g). Factor 0*b**2 - 2/11*b + 0 + 2/11*b**k.
2*b*(b - 1)*(b + 1)/11
Let j(w) be the second derivative of -w**7/189 + w**6/27 + w**5/90 - 5*w**4/54 - 576*w. Suppose j(p) = 0. Calculate p.
-1, 0, 1, 5
Let g be ((-23)/(-164))/(-2 + (-102)/(-44)). Let y = -1/82 + g. Suppose 2/7*a + 1/7*a**3 + 0 - y*a**2 = 0. Calculate a.
0, 1, 2
Let r(u) be the second derivative of -u**4/12 + 2*u**2 - 2*u + 121. Find z, given that r(z) = 0.
-2, 2
Let h = -1320 - -26403/20. Let j(v) be the second derivative of -2*v - 1/4*v**4 - h*v**5 + 0 + 1/10*v**6 + 1/2*v**3 + 0*v**2. Solve j(b) = 0.
-1, 0, 1
Suppose 0 = 5*i - 7 - 13. Let v(y) be the second derivative of 8*y**3 - 6/5*y**6 + 8*y**2 + 5/3*y**i + 4*y - 12/5*y**5 + 0. Suppose v(m) = 0. Calculate m.
-1, -2/3, 1
Let l(u) be the third derivative of u**9/45360 + u**8/4032 + u**7/945 + u**6/540 - 5*u**4/24 - u**2. Let k(p) be the second derivative of l(p). Factor k(d).
d*(d + 1)*(d + 2)**2/3
Determine c, given that 29*c**3 - 14*c**4 - 16*c**4 + 32*c - 100*c**2 + 28*c + 16*c**3 + 25*c**4 = 0.
0, 1, 2, 6
Factor 6*m**2 - 255*m - 9*m**2 - 171*m - 15123.
-3*(m + 71)**2
Let q(h) be the second derivative of h**7/231 - 4*h**6/165 - h**5/110 + 2*h**4/33 - 110*h. Let q(d) = 0. Calculate d.
-1, 0, 1, 4
Let o(l) = -15 - 13*l - 11*l**2 + 2*l + 9 + 0*l. Let b(r) = -r**2 - r - 1. Let n(i) = 6*b(i) - o(i). Factor n(m).
5*m*(m + 1)
Find n, given that -1332*n**3 - 4*n**5 - 4742*n**2 - 3192*n + 480*n**3 - 61*n**4 + 199*n**4 - 68*n**3 + 2888 = 0.
-2, 1/2, 19
Factor -6*y**2 - 163*y + 20 + 87*y + y**2 + 91*y.
-5*(y - 4)*(y + 1)
Suppose 2*f - 14 = q, 4*f + 0*f = -5*q. Let l(n) be the second derivative of 1/15*n**3 + 1/45*n**4 - 2/15*n**2 + n + 0 - 1/50*n**f. Suppose l(p) = 0. What is p?
-1, 2/3, 1
Let f(x) be the third derivative of x**8/8064 + 3*x**7/1120 + x**6/144 - x**5/6 - 15*x**2. Let b(p) be the third derivative of f(p). Factor b(w).
(w + 5)*(5*w + 2)/2
Factor 1/4 + 3/2*p**3 + 1/4*p**2 - p.
(p + 1)*(2*p - 1)*(3*p - 1)/4
Let x(t) be the first derivative of -5*t**7/924 + 7*t**6/396 - t**5/60 + t**4/132 - 4*t**3/3 + 1. Let q(r) be the third derivative of x(r). Factor q(h).
-2*(h - 1)*(5*h - 1)**2/11
Let o(k) be the second derivative of -k**5/4 - 65*k**4/6 + 45*k**3/2 - k - 104. Solve o(l) = 0 for l.
-27, 0, 1
Factor 232*i + 246*i + 5*i**2 - 30 - 674*i + 223*i - 2*i**2.
3*(i - 1)*(i + 10)
Let -2/3*a + 2/3*a**3 - 4/3*a**2 + 4/3 = 0. What is a?
-1, 1, 2
Let d(r) be the third derivative of 0*r**3 - 1/30*r**4 - 8*r**2 + 1/15*r**5 + 0*r + 1/150*r**7 + 0 - 23/600*r**6. Solve d(u) = 0 for u.
0, 2/7, 1, 2
Let t(f) = f**3 + 8*f**2 - 11*f - 18. Let x be t(-9). Find u, given that 249 + 2*u**2 + x*u**2 - u**4 - 250 = 0.
-1, 1
Suppose 10 - 8 = -t. Let k be 0*(-1)/(-3)*3/t. Factor 0*s**2 + 0 - 2/7*s**3 + k*s.
-2*s**3/7
Let c(f) be the third derivative of -5*f**9/3024 + f**7/56 + f**6/36 - f**3/6 - 23*f**2. Let g(r) be the first derivative of c(r). Factor g(h).
-5*h**2*(h - 2)*(h + 1)**2
Let w(u) = 33*u**3 + 90*u**2 + 36*u + 12. Let d be 3/2*60/18. Let q(k) = k**3 + 1 + d*k**3 + k - 5*k**3. Let n(p) = 12*q(p) - w(p). Let n(l) = 0. Calculate l.
-4, -2/7, 0
Suppose -9/2*a**2 - 11/2 - 1/2*a**3 + 21/2*a = 0. Calculate a.
-11, 1
Let m(x) be the second derivative of x**5/10 - 2*x**4/3 - 3*x**3 + 36*x**2 - 43*x - 6. Factor m(n).
2*(n - 4)*(n - 3)*(n + 3)
Let p(s) be the second derivative of -3*s**7/49 + 38*s**6/105 + 13*s**5/10 + 16*s**4/21 - 4*s**3/7 + 4*s - 27. Suppose p(f) = 0. Calculate f.
-1, 0, 2/9, 6
Let d(p) = -22*p**2 - 20*p - 16. Let a(t) = -7*t**2 - 6*t - 5. Let w(o) = 16*a(o) - 5*d(o). Find l, given that w(l) = 0.
0, 2
Let o(t) be the first derivative of 5/9*t**3 + 37/6*t**2 - 16 + 14/3*t. Determine g, given that o(g) = 0.
-7, -2/5
Let q(b) be the second derivative of 3*b**7/28 - 11*b**6/5 + 17*b**5/8 - 7*b**4/12 - 8*b + 4. Factor q(n).
n**2*(n - 14)*(3*n - 1)**2/2
Let u(t) be the first derivative of -3*t**4/4 - 5*t**3 - 9*t**2/2 + 27*t + 559. Suppose u(z) = 0. What is z?
-3, 1
Let x(s) be the first derivative of -45/4*s**4 + 10*s + 28 - 25/2*s**2 - 80/3*s**3. Factor x(p).
-5*(p + 1)**2*(9*p - 2)
Let k(i) = -12*i**2 + 40*i + 52. Let z(v) = -3*v**2 - v + 2. Let a(t) = -k(t) + 5*z(t). Determine u so that a(u) = 0.
-14, -1
Suppose 4/7*v**3 - 8/7*v**2 - 2/7*v + 4/7 - 2/7*v**5 + 4/7*v**4 = 0. What is v?
-1, 1, 2
Let t = -12668 + 12674. Factor 3/2*q**2 + 9/2*q - t.
3*(q - 1)*(q + 4)/2
Let b(d) = 20*d + 1. Let i(u) = 60*u + 4. Let g(f) = -7*b(f) + 2*i(f). Let l be g(-1). Solve -46*s**4 - l*s**5 - 4*s**3 + 23*s**3 + 33*s**4 + 13*s**2 + 2*s = 0.
-1, -1/3, -2/7, 0, 1
Suppose 1/4*l**4 - 7*l**2 - 21/4 - 23/2*l - 1/2*l**3 = 0. Calculate l.
-3, -1, 7
Let l = 67 - 69. Let w be l/14 + (-11)/(-28). Solve -w*x + 1/4 + 1/4*x**3 - 1/4*x**2 = 0.
-1, 1
Suppose -34 + 334 = 5*t. Solve -37*h**4 - t*h**2 - 9*h**5 + 4*h**5 - 22*h**4 - 20*h - 65*h**3 + 29*h**4 = 0 for h.
-2, -1, 0
Let t be -4 - 1 - (112 + -121). Let x(i) be the first derivative of 3/25*i**5 + 3 + 0*i**2 - 3/10*i**t + 1/5*i**3 + 0*i. Solve x(w) = 0 for w.
0, 1
Let z be (25 + 135/(-6))*(1 - 1/5). Suppose -6/5*o - 4/5 + 4/5*o**z = 0. Calculate o.
-1/2, 2
Let n(r) be the second derivative of -r**5/240 - r**4/32 + 2*r**2 + 7*r. Let i(q) be