at is s?
0, 1
Let f(r) = -r**3 + 10*r**2 - 7*r - 16. Let b be f(9). Factor 0*w + 4/5 - 3/5*w**b + 1/5*w**3.
(w - 2)**2*(w + 1)/5
Let i(u) be the second derivative of u**6/6 + u**5 + 25*u**4/12 + 5*u**3/3 + 3*u. Solve i(f) = 0 for f.
-2, -1, 0
Let q(h) be the first derivative of -h**5/180 + h**4/72 + 3*h**2/2 - 1. Let a(s) be the second derivative of q(s). Determine y so that a(y) = 0.
0, 1
Let v(s) be the second derivative of s**7/210 - s**5/50 + s**3/30 - 5*s. Determine y so that v(y) = 0.
-1, 0, 1
Let z(o) be the second derivative of -o**9/6048 - o**8/6720 + o**3 + 4*o. Let n(i) be the second derivative of z(i). Determine r so that n(r) = 0.
-1/2, 0
Let f be (6/225)/(12/6). Let q(d) be the second derivative of -2/15*d**3 + 0*d**4 + 4*d - f*d**6 + 1/5*d**2 + 1/25*d**5 + 0. Factor q(o).
-2*(o - 1)**3*(o + 1)/5
Find r such that -9/4*r + 1/4*r**4 - 7/4*r**3 + 0 + 15/4*r**2 = 0.
0, 1, 3
Suppose t = 2*z + 15, 5 = t + 3*t + 3*z. Let w**2 - t*w + 7*w + 2*w**3 + 3*w**2 = 0. Calculate w.
-1, 0
Let t be (-1)/((-2)/16*5). Suppose -2*o = 4*z - 22, 21*z - 16*z + 5*o - 35 = 0. Factor 8/5*y + 2/5*y**z + t*y**3 + 2/5 + 12/5*y**2.
2*(y + 1)**4/5
Let u be 6 - (5 - -1)/3. Factor 2*y**4 + 2*y**5 - 5*y**u + y**4.
2*y**4*(y - 1)
Let y = -283/5 + 57. Let o = 229/305 - -3/61. Find c, given that -y*c**5 + 6/5*c - 2/5 - 4/5*c**2 - o*c**3 + 6/5*c**4 = 0.
-1, 1
Let u(r) be the second derivative of r**9/30240 - r**8/13440 + r**4/12 - 2*r. Let c(d) be the third derivative of u(d). Determine m so that c(m) = 0.
0, 1
What is n in 0*n + 0 + 12/7*n**4 - 24/7*n**2 - 4*n**3 = 0?
-2/3, 0, 3
Let n(u) be the second derivative of u**7/4200 - u**6/1800 - u**5/300 + 3*u**3/2 + 10*u. Let y(c) be the second derivative of n(c). Factor y(r).
r*(r - 2)*(r + 1)/5
Let l = 604/9 - 2984/45. Factor 6/5*o**2 - 6/5*o + 4/5*o**3 - l.
2*(o - 1)*(o + 2)*(2*o + 1)/5
Let r(m) = 2*m**2 + 12*m + 10. Let c be r(-5). Solve 2/3*k**3 + 4/3 + c*k**2 - 2*k = 0 for k.
-2, 1
Let c be (-2)/(-8)*32/180. Let h(q) be the third derivative of 0*q**3 - 1/90*q**5 - 16/315*q**7 + c*q**6 + 0*q + 0*q**4 + 0 + 2*q**2. Factor h(z).
-2*z**2*(4*z - 1)**2/3
Let x = -6 + 9. Factor -4*p**2 + 2*p + x*p**2 - p**2 + 0*p**2.
-2*p*(p - 1)
Let f(y) be the third derivative of y**9/15120 - y**8/2240 + y**7/840 - y**6/720 + y**4/24 - y**2. Let a(c) be the second derivative of f(c). Factor a(q).
q*(q - 1)**3
Find p, given that -10/3 + 5/3*p**4 + 5*p - 5*p**3 + 5/3*p**2 = 0.
-1, 1, 2
Let w(m) = -8*m + 9 - 3 + 8 + 4*m**2 - 3*m**2. Let y be w(6). Factor 1/3*j**y + 0 - 2/3*j + 1/3*j**3.
j*(j - 1)*(j + 2)/3
Let o(w) be the third derivative of -w**9/6048 + w**7/840 - w**5/240 - w**3/2 + 3*w**2. Let q(g) be the first derivative of o(g). Factor q(d).
-d*(d - 1)**2*(d + 1)**2/2
Let u(c) = c**3 + 5*c**2 + c + 7. Let f be u(-5). Let s(y) be the first derivative of 0*y + 1/3*y**f + 1/9*y**3 - 2. Let s(h) = 0. What is h?
-2, 0
Factor 19 - 49 + 25*k - 5*k**2 + 0*k.
-5*(k - 3)*(k - 2)
Let s(t) be the third derivative of t**7/175 - t**6/30 + 2*t**5/75 + 2*t**4/15 - 11*t**2. Factor s(u).
2*u*(u - 2)**2*(3*u + 2)/5
Let n be (-4)/(-10) - 72/10. Let k = n + 112/15. Determine l so that 2/3*l**4 - k*l**2 + 0*l**3 + 0 + 0*l = 0.
-1, 0, 1
Factor 12/5*x**2 - 3/5 - 9/5*x.
3*(x - 1)*(4*x + 1)/5
Let u(n) = n**2 - 9*n + 2. Let q be u(8). Let g = q - -14. Find w such that 4 - 2*w**2 + w**3 + g*w - w**2 + 8*w**2 = 0.
-2, -1
Let u(n) be the second derivative of -n**5/5 + n**4/3 + 8*n**3/3 - 8*n**2 - 15*n. Find c such that u(c) = 0.
-2, 1, 2
Let x be (-2)/(-2) + 161/(-168). Let s(z) be the third derivative of 0*z + 0*z**3 - 2*z**2 - 1/80*z**6 - 1/24*z**5 + 0 - x*z**4. Find i, given that s(i) = 0.
-1, -2/3, 0
Suppose -2*i**2 - 4*i + 7*i + 6*i**2 - 4 - 9*i = 0. What is i?
-1/2, 2
Let a(g) be the second derivative of -2*g + 1/120*g**5 - 1/12*g**3 - 1/480*g**6 + 1/96*g**4 + 0 - g**2. Let f(c) be the first derivative of a(c). Factor f(q).
-(q - 2)*(q - 1)*(q + 1)/4
Let -1/10*o**4 - 1/10*o - 1/10*o**5 + 1/5*o**2 + 1/5*o**3 - 1/10 = 0. What is o?
-1, 1
Let g be 23/(-5) - (-8)/(-20). Let l be g/(-2)*(-12)/(-15). Let 0*y - 3*y - y**3 + l + 6*y - 4 = 0. Calculate y.
-2, 1
Let i(j) be the first derivative of -4/21*j**3 - 2/7*j**4 + 4/35*j**5 - 4 + 0*j + 4/7*j**2. Factor i(h).
4*h*(h - 2)*(h - 1)*(h + 1)/7
Suppose 3 = 2*y + k, 3*y - 2*k = -k + 12. Suppose -2*d = y*a - a - 6, 5*d = 5. Factor 4 + 2*l**2 - 4 + a*l.
2*l*(l + 1)
Let s = 13 - 7. Suppose 0 = -3*l + 9 + s. Suppose -11*u - 17/2*u**2 - 196*u**4 + 511/4*u**3 + 343/4*u**l + 2 = 0. What is u?
-2/7, 2/7, 1
Let i(l) be the first derivative of 0*l + 1/3*l**3 + 0*l**2 - 1/4*l**4 + 4. Factor i(b).
-b**2*(b - 1)
Factor 3/2 - 27/4*g - 15/4*g**2.
-3*(g + 2)*(5*g - 1)/4
Let h be (-2)/3*(-1 - 0). Let c = -23 + 25. Suppose 4/3*m + 2/3 + h*m**c = 0. Calculate m.
-1
Let p(x) be the first derivative of -8/11*x + 4/11*x**2 - 2/33*x**3 + 1. Factor p(z).
-2*(z - 2)**2/11
Let m(x) be the second derivative of -5*x + 1/100*x**5 + 0*x**2 + 0*x**3 + 0*x**4 + 0. Factor m(t).
t**3/5
What is r in -1/12*r**4 + 1/12*r**3 - 1/6 - 1/12*r + 1/4*r**2 = 0?
-1, 1, 2
Suppose -3*a = -119 + 113. Suppose a*v**2 - 2/7 + 12/7*v**3 + 0*v = 0. Calculate v.
-1, -1/2, 1/3
Let s(x) be the third derivative of -1/9*x**3 - 10*x**2 + 0*x + 1/30*x**5 - 4/315*x**7 + 1/18*x**4 - 1/45*x**6 + 0. Find t such that s(t) = 0.
-1, 1/2
Let m(q) be the first derivative of 0*q**3 - 3 + 4/55*q**5 + 0*q - 1/22*q**4 + 0*q**2. Factor m(w).
2*w**3*(2*w - 1)/11
Suppose 0 = 2*q - 4*o - 4, 0 = 3*q + 3*o - 0*o - 15. Suppose -1/2*x**q + 0 + 3/2*x**3 - 3/2*x**2 + 1/2*x = 0. Calculate x.
0, 1
Let k = 71/30 + -11/5. Factor 0*b + k*b**2 - 1/6.
(b - 1)*(b + 1)/6
Let q be 2 + 1 + 1 + 1. Suppose 0 = 4*d - q - 3. Find a, given that 3*a**5 + a**5 + 0*a**2 - 2*a**4 - 4*a**3 + d*a**2 = 0.
-1, 0, 1/2, 1
Let g = 52/21 - 15/7. Let l(r) be the second derivative of r - 1/10*r**5 + 0 - 1/15*r**6 + 1/6*r**4 + g*r**3 + 0*r**2. Let l(n) = 0. Calculate n.
-1, 0, 1
Let f(c) = -39*c**3 - 123*c**2 - 168*c - 84. Let s(z) = 11*z**3 + 35*z**2 + 48*z + 24. Let m be (-45)/(-1)*(-8)/20. Let a(y) = m*s(y) - 5*f(y). Factor a(n).
-3*(n + 1)*(n + 2)**2
Let a(i) = i**4 + i**3 - 2*i**2 - 2. Let q(n) = 2*n**4 - 3*n**2 - 3. Let c(y) = 3*a(y) - 2*q(y). Determine o so that c(o) = 0.
0, 3
Let c(s) = -s. Let f be c(2). Let g be f/(-7) + (-156)/(-91). Solve g*t**3 + 0 + 0*t - 4/3*t**2 = 0.
0, 2/3
Let f = 8 - 7. Suppose -f = -h - y - 4, y = h - 7. What is k in -2*k - k**h - 2 + 0*k + 6*k**3 - 4*k + 3*k**2 = 0?
-1, -1/3, 1
Factor 22/7*a - 2/7*a**4 + 6/7 + 12/7*a**3 + 4*a**2 - 2/7*a**5.
-2*(a - 3)*(a + 1)**4/7
Suppose 2*x - r - 8 = r, 0 = 3*x + r - 4. Factor 0 + 2*v**3 + 4/3*v**x + 0*v + 2/3*v**4.
2*v**2*(v + 1)*(v + 2)/3
Let a(s) = s**4 - 48*s**3 - 216*s**2 - 437*s - 319. Let z(q) = 2*q**4 - 48*q**3 - 216*q**2 - 438*q - 318. Let t(u) = 6*a(u) - 5*z(u). Factor t(g).
-4*(g + 3)**4
Let m(z) = -32*z**5 + 45*z**4 - 21*z**3 - z**2 - 3. Let x(f) = 64*f**5 - 91*f**4 + 41*f**3 + f**2 + 5. Let d(g) = 5*m(g) + 3*x(g). Find q such that d(q) = 0.
0, 1/4, 1
Suppose -2/7*k + 4/7*k**2 - 2/7*k**5 - 2/7*k**4 - 2/7 + 4/7*k**3 = 0. Calculate k.
-1, 1
Let j be -2 + (3 - (-6 - 30/(-6))). Let 1/4*d**j + 3/2*d + 9/4 = 0. Calculate d.
-3
Let r(i) be the third derivative of 5*i**8/336 + 2*i**7/21 + 5*i**6/24 + i**5/6 + 8*i**2. Find q, given that r(q) = 0.
-2, -1, 0
Factor 0 - 4/3*m - 7/6*m**3 - 5*m**2.
-m*(m + 4)*(7*m + 2)/6
Factor 4/5*c - 7/5*c**3 + 12/5*c**2 + 0.
-c*(c - 2)*(7*c + 2)/5
Let c(f) = 25*f**3 + 395*f**2 + 575*f - 35. Let w(x) = 2*x**3 + 33*x**2 + 48*x - 3. Let d(z) = -3*c(z) + 35*w(z). Factor d(k).
-5*k*(k + 3)**2
Let d(a) be the first derivative of 3 - 1/4*a**4 + 0*a - 2/3*a**3 - 1/2*a**2. Find c such that d(c) = 0.
-1, 0
Let a(s) = 5*s**3 + 23*s**2 + 61*s + 64. Let h(w) = 21*w**3 + 93*w**2 + 243*w + 256. Let u(i) = -26*a(i) + 6*h(i). Find o such that u(o) = 0.
-4, -2
Suppose 0 = -3*b + 9 + 3. Suppose -2*y = -4, 4*m + 2*y - b*y = 12. Solve v**5 - m*v**3 - 9*v**4 - v**2 + 3*v**5 + 10*v**3 = 0 for v.
0, 1/4, 1
Let l(o) be the second derivative of -o**6/75 - o**5/25 + 2*o**3/15 + o**2/5 + 6*o. Factor l(g).
-2*(g - 1)*(g + 1)**3/5
Let w(n) = 16*n**2 + 16*n. Let g(q) = -11*q - 9*q**2 - q**2 - q**2. Let y(h) = 7*g(h) + 5*w(h). Factor y(d).
3*d*(d + 1)
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