09*k**3 - 156*k**3 = 0.
-6, -1, 0
Let i(d) be the first derivative of -4*d**5/5 + 4*d**3 + 4*d**2 + 6. Factor i(a).
-4*a*(a - 2)*(a + 1)**2
Factor -2*s**5 - 2*s + 4*s**3 - 19*s**4 + 13*s**4 + 6*s**4.
-2*s*(s - 1)**2*(s + 1)**2
Let b = 12 - 4. Let r = b + -6. Factor 3*f**r + 2*f**3 + 2*f + 1/2 + 1/2*f**4.
(f + 1)**4/2
Let m(u) be the second derivative of 0*u**2 + 0*u**3 + 1/6*u**4 + 0 + 0*u**5 + 3*u - 1/15*u**6. Solve m(i) = 0.
-1, 0, 1
Let d(r) be the second derivative of r**8/10080 - r**7/1260 + r**6/360 - r**5/180 + 5*r**4/6 - 10*r. Let m(x) be the third derivative of d(x). Factor m(w).
2*(w - 1)**3/3
Factor -z - 2*z - 2 + 3*z**3 + 4*z**2 + z**4 + 0*z**4 - 3*z**2.
(z - 1)*(z + 1)**2*(z + 2)
Let s = -421 - -423. What is q in -1/3 + 0*q + 1/3*q**s = 0?
-1, 1
Find d, given that 0 - 1/2*d + 1/2*d**3 + 1/2*d**4 - 1/2*d**2 = 0.
-1, 0, 1
Let d(c) be the first derivative of c**6/2 + 6*c**5/5 - 2*c**3 - 3*c**2/2 + 2. Suppose d(i) = 0. Calculate i.
-1, 0, 1
Let f = -3 - -8. Suppose 0 = -f*g + 11 + 19. Factor 4 - g*j**2 + 4*j + j - 3*j.
-2*(j - 1)*(3*j + 2)
Let a = 1343/1208 - -2/151. Determine s so that a - 3/4*s + 1/8*s**2 = 0.
3
Let l = 3 - 1. Factor 1 + 4*r**3 - 5 + 2*r**2 + l - 2*r**3 - 2*r.
2*(r - 1)*(r + 1)**2
Let s(i) be the third derivative of i**5/15 + i**4/6 - 4*i**3/3 + 24*i**2. Find q, given that s(q) = 0.
-2, 1
Find v such that 2/11*v**3 + 2/11*v**2 - 2/11*v - 2/11 = 0.
-1, 1
Let i(x) = 110*x**2 - 265*x + 110. Let w(y) = 5*y**2 - 12*y + 5. Let o(k) = 2*i(k) - 45*w(k). Factor o(q).
-5*(q - 1)**2
Let q(g) be the third derivative of -g**8/1176 + 2*g**7/735 - g**5/105 + g**4/84 + 9*g**2. What is f in q(f) = 0?
-1, 0, 1
Let g = 788 - 788. Find h, given that -4/7*h + 2/7*h**2 + g = 0.
0, 2
Let y(l) = l**2 - 3*l + 2. Let t be (-1)/(-1) + -2 - -4. Let v be y(t). Solve 0*a + v*a**3 - 2*a - 5*a**4 + 3*a**4 + 2*a**2 = 0.
-1, 0, 1
Let j(l) be the first derivative of -4 - 2/3*l**2 + 2/9*l**3 + 2/3*l. Solve j(m) = 0.
1
Let s(g) be the first derivative of -1/24*g**3 - 2 + 1/80*g**5 + 0*g**4 - g + 0*g**2. Let d(b) be the first derivative of s(b). Suppose d(u) = 0. Calculate u.
-1, 0, 1
Let q(o) be the second derivative of 0*o**2 - 3*o + 0 - 1/10*o**5 + 1/6*o**4 + 0*o**3. Factor q(y).
-2*y**2*(y - 1)
Let c(p) be the third derivative of 1/15*p**3 - 1/60*p**5 - 4*p**2 - 1/120*p**4 - 1/300*p**6 + 0 + 0*p. Solve c(v) = 0 for v.
-2, -1, 1/2
Let 3*z**2 + 5*z**3 + 2*z**4 + 9*z**5 - 14*z**3 - 5*z**4 = 0. Calculate z.
-1, 0, 1/3, 1
What is f in -98/9*f**5 + 16/9*f**2 + 140/9*f**4 + 104/9*f**3 + 0 + 0*f = 0?
-2/7, 0, 2
Let r(z) be the third derivative of -z**2 + 0 - 1/32*z**4 + 1/80*z**5 + 1/160*z**6 - 1/8*z**3 + 0*z. Solve r(t) = 0 for t.
-1, 1
Let d be (-6)/10 + 1215/25. Solve -d*c + 7 + 5 - 23*c**2 + 0*c**2 - 4*c**2 = 0 for c.
-2, 2/9
Let x = 23 + -3. Suppose 0 = 3*s + 2*s - x. Factor 2*t**2 + 0*t**4 + 2*t**4 - 4*t**s.
-2*t**2*(t - 1)*(t + 1)
Let i(o) be the first derivative of -o**8/1680 + o**7/420 - o**5/60 + o**4/24 - 2*o**3 + 8. Let s(z) be the third derivative of i(z). Let s(u) = 0. What is u?
-1, 1
Factor -3/4*q**2 - 3/2*q - 1/8*q**3 - 1.
-(q + 2)**3/8
Let l(s) be the third derivative of s**7/840 + s**6/120 + s**5/48 + s**4/48 + 2*s**2. Solve l(u) = 0.
-2, -1, 0
Let n = -6 - -3. Let i(q) = q**2 + q - 4. Let f be i(n). Solve -5*x**2 + 2*x**2 + 4*x + 4 + 0 + 4*x**f = 0 for x.
-2
Let u(n) be the first derivative of -n**5/20 - 3*n**4/4 - 9*n**3/2 - 5*n**2/2 + 5. Let d(q) be the second derivative of u(q). Let d(b) = 0. Calculate b.
-3
Factor -4/5*g**2 - 28/5 - 32/5*g.
-4*(g + 1)*(g + 7)/5
Suppose 4 = -2*w - 2*i, -10 = 5*i + 10. Factor -1 - 3/2*b - 1/2*b**w.
-(b + 1)*(b + 2)/2
What is n in n**2 + 5/3 + 3*n - 1/3*n**3 = 0?
-1, 5
Let p(v) be the second derivative of -v**6/60 + v**5/8 - 7*v**4/24 + v**3/4 + 2*v. Suppose p(y) = 0. Calculate y.
0, 1, 3
Let q(d) be the first derivative of -8 + 3/28*d**4 + 0*d + 0*d**2 + 2/7*d**3. Suppose q(j) = 0. What is j?
-2, 0
Let g(u) be the second derivative of -1/21*u**3 - 1/70*u**5 + 0 - 6*u - 1/21*u**4 + 0*u**2. Factor g(i).
-2*i*(i + 1)**2/7
Let w(q) be the third derivative of q**7/1680 + q**6/240 + q**5/80 + q**4/48 + q**3/2 - 7*q**2. Let v(a) be the first derivative of w(a). Factor v(h).
(h + 1)**3/2
Suppose 3*m + 5*r = -20, 0 = -9*m + 4*m + 4*r + 16. Let g(o) be the first derivative of m*o - o**2 + 1/2*o**4 + 2 + 1/3*o**3 - 1/5*o**5. Factor g(d).
-d*(d - 2)*(d - 1)*(d + 1)
Let u = 55/42 - -4/21. Let v = 309 - 617/2. Determine n, given that -1/2*n**4 + u*n**3 + v*n + 0 - 3/2*n**2 = 0.
0, 1
Let g(h) be the second derivative of 3/2*h**3 - 3*h**2 + h + 0 - 1/4*h**4. Let g(b) = 0. What is b?
1, 2
Let k(c) = -5*c**2 + 120*c - 230. Let f(p) = -2*p**2 + 40*p - 77. Let x(a) = -10*f(a) + 3*k(a). Find g, given that x(g) = 0.
4
Suppose 2*x + 0*x = -62. Let m = x + 125/4. Factor -m*i**2 - 1/4 + 1/2*i.
-(i - 1)**2/4
Let j = 1287 + -11581/9. Solve 0*t + j*t**2 + 0 + 2/9*t**3 = 0 for t.
-1, 0
Let n(o) = 5 + 6*o**2 + 11*o + 4 - o**3 + 5*o**2 + 5. Let v be n(12). Find j, given that -2*j**2 - j + 4*j**v + 3*j = 0.
-1, 0
Let g(u) be the third derivative of u**7/105 + u**6/30 - u**5/10 - u**4/3 + 4*u**3/3 + 10*u**2. Suppose g(k) = 0. Calculate k.
-2, 1
Let u(n) be the second derivative of -n**4/54 + 5*n**3/9 - 14*n**2/9 - 11*n. Determine x so that u(x) = 0.
1, 14
Solve -1/5*n**3 + 1/5*n + 1/5*n**2 - 1/5 = 0.
-1, 1
Let v(s) be the first derivative of s**4/48 + s**3/24 + 3*s - 4. Let p(b) be the first derivative of v(b). Factor p(o).
o*(o + 1)/4
Let k(w) = -12*w**2 + 9. Let t(x) = -3*x**2 + 2. Let l(a) = -2*k(a) + 9*t(a). Suppose l(s) = 0. Calculate s.
0
Let n be (2 - (-1 - 3/(-1)))/3. Let c be (-2)/(-8) + 1/28. Factor c*p**2 - 2/7*p + n.
2*p*(p - 1)/7
Let p be 28/12 + (-1)/3. Factor -4*h**2 + p + 2*h**4 + 4*h - 6*h + 2*h.
2*(h - 1)**2*(h + 1)**2
Let f(j) be the third derivative of j**9/30240 - j**8/2520 + j**7/504 - j**6/180 - 3*j**5/20 + 7*j**2. Let k(b) be the third derivative of f(b). Factor k(t).
2*(t - 2)*(t - 1)**2
Let f be ((-32)/28)/(-4) - 19/(-7). Let d(g) be the first derivative of 0*g + 5/8*g**4 - 1/3*g**3 + 0*g**2 + f + 3/10*g**5. Factor d(r).
r**2*(r + 2)*(3*r - 1)/2
Let n(d) = 7*d**2 + 10*d + 8. Let o(z) = 4*z**2 + 5*z + 4. Let u(l) = -6*n(l) + 10*o(l). Solve u(g) = 0.
-4, -1
Let g(i) be the second derivative of -i**7/630 + i**6/360 - i**5/480 - i**4/4 + i. Let r(m) be the third derivative of g(m). Factor r(t).
-(4*t - 1)**2/4
Let d(b) be the first derivative of b**6/75 - 3*b + 2. Let w(h) be the first derivative of d(h). Factor w(k).
2*k**4/5
Let b(l) be the first derivative of -l**4/2 - 2*l**3/3 + 5*l**2 - 6*l - 16. Factor b(a).
-2*(a - 1)**2*(a + 3)
Let p(a) = a**3 + 18*a**2 + 32*a + 2. Let o be p(-16). Solve 0 - u - 1/2*u**o = 0 for u.
-2, 0
Let x(t) be the second derivative of -t**5/80 + t**4/12 - t**3/24 - 3*t**2/4 + 13*t. Factor x(l).
-(l - 3)*(l - 2)*(l + 1)/4
Let n(f) = -9*f**4 + 10*f**3 - 9*f**2 + 4*f + 4. Let a(w) = 8*w**4 - 10*w**3 + 8*w**2 - 3*w - 3. Let h(q) = -4*a(q) - 3*n(q). Factor h(g).
-5*g**2*(g - 1)**2
Determine p so that -4/11*p**2 - 2/11*p**3 + 2/11*p + 4/11 = 0.
-2, -1, 1
Let g be (-1)/((-3)/66*2). Let o = -9 + g. Factor 0 + 0*n - 1/4*n**3 + 1/4*n**4 + 0*n**o.
n**3*(n - 1)/4
Suppose -o = 5*o + 6. Let g be o/(18/(-58)) - 3. Factor 0 - 2/9*z**2 - g*z.
-2*z*(z + 1)/9
Suppose -f**2 - 2*f - f**2 - 6*f = 0. What is f?
-4, 0
Let v(y) = 24*y - 12. Let w be v(5). Let s = w + -209/2. Let s*c**3 + 3/2*c - 1 + 6*c**2 = 0. Calculate c.
-1, 2/7
Let m = 13/22 - 1/11. Let t(y) be the first derivative of 1 + 0*y + 4/3*y**3 - y**2 - m*y**4. Factor t(l).
-2*l*(l - 1)**2
Let m be 2/(0 + -2)*0/(-12). Let u(w) be the third derivative of 1/60*w**4 + 0 + 1/300*w**5 + 0*w + m*w**3 + 2*w**2. Suppose u(x) = 0. What is x?
-2, 0
Let p = -2/473 + 497/5676. Let b(t) be the second derivative of -p*t**4 + 0*t**3 + 0*t**2 + 2*t + 0. Factor b(j).
-j**2
Let u(x) = 2*x**2 + x + 6. Let l(r) = -r**2 - 1. Let v(d) = 6*l(d) + u(d). Determine f, given that v(f) = 0.
0, 1/4
Factor 16/7*a - 1/7*a**2 - 1/7*a**3 - 20/7.
-(a - 2)**2*(a + 5)/7
Let w(y) = y**3 + 3*y**2 - 4*y - 10. Let v be w(-2). Solve -1/4*h + 0*h**v + 0 + 1/4*h**3 = 0.
-1, 0, 1
Let b(g) = g**3 + 2*g - 1. Let d be b(1). Let a(u) be the first derivative of 0*u + 1/8*u**6 + 1/2*u**3 