 + 121*l**2. Suppose a(m) = 0. What is m?
-2, -1, 0
Suppose -29 - 13 = -7*f. Let j(n) be the first derivative of 2/5*n**2 + 2/15*n**3 + f + 0*n. Factor j(m).
2*m*(m + 2)/5
Let a(k) be the first derivative of k**3/3 - 92*k**2 + 8464*k - 339. Factor a(i).
(i - 92)**2
Let l = 872 - 849. Suppose 3*i = -i + 8. Solve -l + 3*k**i - 4*k + 29 + 13*k = 0.
-2, -1
Factor -13/8*w - 1/8*w**5 - 5*w**2 - 21/4*w**3 - 2*w**4 + 0.
-w*(w + 1)**3*(w + 13)/8
Let h(q) be the third derivative of q**6/600 - 2*q**5/75 + 13*q**4/120 - q**3/5 + 49*q**2. Solve h(s) = 0.
1, 6
What is k in 2/9*k**2 - 1/9*k**3 + 0 + 8/9*k = 0?
-2, 0, 4
Suppose 0 = 10*g - 12*g + 14. What is s in -7*s**5 - g*s + 3 + 16*s + 4*s**5 - 9*s**4 + 6*s**2 - 6*s**3 = 0?
-1, 1
Factor 8/3*d - 1/3*d**2 - 16/3.
-(d - 4)**2/3
Let 2/7*r**4 + 2/7*r**5 + 16/7*r - 2/7*r**2 - 10/7*r**3 - 8/7 = 0. Calculate r.
-2, 1
What is c in -32/5 - 94/5*c + 2/5*c**4 - 18*c**2 - 26/5*c**3 = 0?
-1, 16
Let a(h) be the first derivative of -2*h**6/3 + 38*h**5/5 - 32*h**4 + 166*h**3/3 - 12*h**2 - 72*h + 146. Solve a(n) = 0.
-1/2, 2, 3
Let l(k) = -2*k**4 - 5*k**3 + 3*k**2 - 3*k. Let y(a) = -a**4 - a**2 + a. Let h(r) = -l(r) - 3*y(r). Factor h(i).
5*i**3*(i + 1)
Let a be (2/(-22))/((-213)/(-11) + -20). Factor 0 - a*z**4 + 0*z + 0*z**2 + 0*z**3 - 1/7*z**5.
-z**4*(z + 1)/7
Factor -250/3 - 350/3*h + 92/3*h**3 - 26/3*h**4 + 2/3*h**5 + 20/3*h**2.
2*(h - 5)**3*(h + 1)**2/3
Let u(c) = -c - 5. Let f be u(-7). Factor 58*w - w**f - 2*w**2 - 52*w.
-3*w*(w - 2)
Let f(y) be the first derivative of -17 + 1/9*y**3 + 3*y**2 + 27*y. Factor f(z).
(z + 9)**2/3
Let z be (-484)/(-32) - (-5)/(-40). Let s be (-1)/((2/66)/(-1)). Solve -3*n + z*n**5 - 3*n**5 + 8*n**2 + 27*n**3 - 5*n**2 + s*n**4 = 0 for n.
-1, 0, 1/4
Let d = 70 - 99. Let k be 116/d + (-1)/((-2)/8). Factor k*t - 8/13 + 2/13*t**2.
2*(t - 2)*(t + 2)/13
Let x(g) = 3*g**3 - 32*g**2 - 67*g - 34. Let p(j) = 39*j**3 - 417*j**2 - 870*j - 441. Let h(k) = -2*p(k) + 27*x(k). Factor h(n).
3*(n - 12)*(n + 1)**2
Let a(b) = 5*b - 7. Let i be a(2). Let w(d) = -d**3 + 12*d**2 - 11*d + 9. Let h be w(11). Factor 3*m**2 - h*m + 22*m - 3*m**i - 7*m.
-3*m*(m - 2)*(m + 1)
Solve -r - 3/4*r**2 + 7/4 = 0 for r.
-7/3, 1
Let s(r) = 6*r - 3*r - 365 + 341. Let o be s(8). Factor -4/5*p**3 - 2/5 + o*p**2 + 2/5*p**4 + 4/5*p.
2*(p - 1)**3*(p + 1)/5
Let f be 50/(-5)*(-3)/6. Find i, given that -8*i**4 - 2*i**2 - 8*i**2 + 26*i**3 + 55*i**5 - 61*i**f - 2*i**2 = 0.
-3, 0, 2/3, 1
Let b(u) be the second derivative of u**5/80 - u**4/4 + 2*u**3 - 7*u**2 + 5*u. Let p(d) be the first derivative of b(d). Factor p(y).
3*(y - 4)**2/4
Let r(s) be the first derivative of -5*s**3/3 - 175*s**2/2 - 480*s + 222. Factor r(n).
-5*(n + 3)*(n + 32)
Let i = -19 + 25. Determine s, given that 0*s**2 - i*s**5 + 173*s**3 + 4*s**2 - 179*s**3 - 16*s**4 = 0.
-2, -1, 0, 1/3
Let c = 124 + -124. Let s(m) be the second derivative of -1/20*m**4 - 1/150*m**6 - 1/30*m**3 - 3/100*m**5 + 0 + c*m**2 - 9*m. Determine u, given that s(u) = 0.
-1, 0
Let i be 66/(-264) + (3/12)/1. Find f such that i*f + 14*f**3 + 22/5*f**4 + 10*f**2 + 2/5*f**5 + 0 = 0.
-5, -1, 0
Let v(g) be the second derivative of 0*g**2 - 1/6*g**3 - 29*g - 1/6*g**4 - 1/20*g**5 + 0. Suppose v(p) = 0. Calculate p.
-1, 0
Let t(b) be the second derivative of -b**5/20 + 13*b**4/6 - 32*b**3 + 144*b**2 + 261*b - 2. Factor t(s).
-(s - 12)**2*(s - 2)
Let q(p) be the second derivative of p**5/10 - 4*p**4/3 + 19*p**3/3 - 12*p**2 - 3*p - 47. Factor q(j).
2*(j - 4)*(j - 3)*(j - 1)
Let a(t) be the first derivative of 3*t**5/10 - 19*t**4/8 + t**3 - 247. Solve a(f) = 0 for f.
0, 1/3, 6
Find k such that 2/9*k**2 + 0 - 2/9*k = 0.
0, 1
Let x(j) be the first derivative of j**6/6 + 2*j**5/5 - 9*j**4/4 - 2*j**3/3 + 4*j**2 - 9. Find v such that x(v) = 0.
-4, -1, 0, 1, 2
Let q(c) be the third derivative of c**7/735 + c**6/210 - c**5/30 + c**4/21 - 73*c**2. Let q(o) = 0. Calculate o.
-4, 0, 1
Factor -1/6*c**2 - 243/2 - 9*c.
-(c + 27)**2/6
Let u(d) be the first derivative of -1/2*d**2 + 5/36*d**4 - 1/45*d**5 - 1/9*d**3 + 18 + 0*d. Find o such that u(o) = 0.
-1, 0, 3
Let q(f) be the second derivative of f**4/114 + 11*f**3/19 + 90*f**2/19 - 2*f - 31. Solve q(k) = 0 for k.
-30, -3
Factor -152*r**4 + 45*r**3 + 182*r**4 + 20*r**2 + 20*r**5 - 15*r**5.
5*r**2*(r + 1)**2*(r + 4)
Let y(o) be the first derivative of 0*o**3 + 3/14*o**4 + 0*o + 1/14*o**6 - 8 + 0*o**2 + 9/35*o**5. Solve y(c) = 0 for c.
-2, -1, 0
Let n(l) = l - 1. Let s(t) = -t. Let h(z) = n(z) - 2*s(z). Let c be h(1). Let -3*b**4 + 2*b**2 + 3*b**2 - c*b**2 = 0. What is b?
-1, 0, 1
Solve 13/2 - 41/4*r + 13/4*r**3 - 1/4*r**4 + 3/4*r**2 = 0 for r.
-2, 1, 13
Factor 0*m**5 + 4*m**5 + 30*m - 5*m**5 + 12*m**4 + 0*m**4 + 3*m**5 - 44*m**2.
2*m*(m - 1)**2*(m + 3)*(m + 5)
Let m(r) = -10*r - 3. Let d be m(-5). Let d*j**2 - 36*j**3 + 21*j**2 - 21*j**4 + 7*j**2 - 18*j = 0. Calculate j.
-3, 0, 2/7, 1
Let l(o) be the first derivative of -3/20*o**5 - 2*o + 0*o**2 + 1/2*o**4 - 5 - 1/2*o**3. Let m(s) be the first derivative of l(s). Find v, given that m(v) = 0.
0, 1
Let z(n) be the third derivative of -n**6/40 - n**5/12 - 7*n**4/72 - n**3/18 + 6*n**2 + 2. What is w in z(w) = 0?
-1, -1/3
Let l(b) = 2306*b + 13836. Let j be l(-6). Let -1/5*f**4 + 0 + j*f + 2/5*f**3 - 1/5*f**2 = 0. What is f?
0, 1
Let o(r) = 4*r**3 - 5*r**2 + 6*r + 6. Let x(u) be the first derivative of u**4 + 5 - 2*u**3 + 7*u + 7/2*u**2. Let f(q) = -7*o(q) + 6*x(q). Factor f(g).
-g**2*(4*g + 1)
Let a be (-60)/360*16/((-4)/2). Factor -2*p + 2/3*p**2 + a.
2*(p - 2)*(p - 1)/3
Let h be 6/(16/(-4) - -6). Factor -h*s**4 - 47*s**2 + 6 + 8*s - 8*s**3 + 43*s**2 + s**4.
-2*(s - 1)*(s + 1)**2*(s + 3)
Let m(z) be the second derivative of z**5/100 - z**4/60 - 7*z**3/15 + 12*z**2/5 + 524*z. Determine j so that m(j) = 0.
-4, 2, 3
Let k(x) be the second derivative of -x**7/84 - x**6/60 + 38*x + 4. Factor k(q).
-q**4*(q + 1)/2
Let o(i) be the second derivative of -i**7/168 - i**6/8 - 13*i**5/40 + 8*i + 10. Factor o(v).
-v**3*(v + 2)*(v + 13)/4
Let w = -58 + 62. Find k, given that 5*k - 6*k - 3*k + w*k**3 = 0.
-1, 0, 1
Let n = 4 - 8. Suppose -14*v - 6 = 36. Let o(d) = -5*d**3 - 7*d**2 - 5*d - 3. Let t(b) = 5*b**3 + 7*b**2 + 6*b + 4. Let h(a) = n*o(a) + v*t(a). Solve h(m) = 0.
-1, -2/5, 0
Let h(t) be the first derivative of -5*t**6/6 + 2*t**5 + 15*t**4/4 - 20*t**3/3 - 10*t**2 - 72. Factor h(a).
-5*a*(a - 2)**2*(a + 1)**2
Suppose 6*o - 65 = o. Let s be (o - 4)/3 + 0. Factor 0 + 0*i + 0*i**2 + 0*i**s + 2/3*i**4.
2*i**4/3
Let w(m) = m**3 - 9*m**2 + 2. Let t be (-33)/(2 + -5) - 2. Let q be w(t). Factor 0 + 1/3*x + 1/3*x**q.
x*(x + 1)/3
Let c(g) = g**3 - 4*g**2 + 7*g. Let a be c(3). Determine r so that 70*r**4 - 3*r**3 + a*r**3 - 58*r**4 = 0.
-3/4, 0
Let i be 3 + (-2)/(-12)*6. Suppose 0 = -0*t - 2*t. Factor t*c**i + 8*c**2 - 3 - c**4 - 3*c**4 - 1.
-4*(c - 1)**2*(c + 1)**2
Let q(t) = 2*t**2 - t - 19. Let z be q(-4). Suppose 0 = -19*b + z*b. Find r, given that b*r**2 + 0 + 0*r - 2/3*r**3 + 2/3*r**4 = 0.
0, 1
Let x(q) = 11*q**2 - 12*q + 7. Let s(y) = 2*y**2 - y + 3. Let a(c) = -5*s(c) + x(c). Factor a(u).
(u - 8)*(u + 1)
Let r(s) be the third derivative of s**7/11340 - s**5/540 + 11*s**4/12 - 7*s**2. Let d(n) be the second derivative of r(n). Let d(c) = 0. Calculate c.
-1, 1
Find z, given that -1/6*z**2 + 1/6 + 0*z = 0.
-1, 1
Let a be 2/5*10 + -156. Let d = a + 1674/11. Factor 0 + 2/11*i**3 - 2/11*i**4 + 2/11*i**2 - d*i**5 + 0*i.
-2*i**2*(i - 1)*(i + 1)**2/11
Let s = 12 - 19. Let q(x) = x**2 + 8*x + 9. Let a be q(s). Determine u, given that u**2 - 4*u + 4*u + 2*u**a = 0.
0
Let 0 + 0*c + 1/3*c**5 - 2*c**4 + 5/3*c**3 + 4*c**2 = 0. Calculate c.
-1, 0, 3, 4
Let t(g) = 12*g**3 - 12*g**2 - 12*g. Let j(i) = 23*i**3 - 24*i**2 - 24*i. Let r(f) = 3*j(f) - 5*t(f). Factor r(a).
3*a*(a - 2)*(3*a + 2)
Let k(p) be the first derivative of p**7/2100 + p**6/450 + p**5/300 + 11*p**3/3 - 6. Let j(h) be the third derivative of k(h). Factor j(t).
2*t*(t + 1)**2/5
Let v(w) be the third derivative of -1/5*w**5 - 2/3*w**3 + 19*w**2 + 2/3*w**4 + 0*w + 0. Let v(b) = 0. Calculate b.
1/3, 1
Let f = 311/4 + -77. Let k(h) be the first derivative of -f*h**4 - 3*h - 3 - 3*h**3 - 9/2*h**2. Factor k(w).
-3*(w + 1)**3
Let z(v) = -16*v**2 - 159*v + 84. Let g(y) = 7*y**2 + 78*y - 43. Let