*n.
-2*n**4*(n - 2)/7
Let t = 9 - 25/3. Let q(c) be the third derivative of c**2 + 1/30*c**5 - t*c**3 + 0*c + 0 - 1/12*c**4. Factor q(b).
2*(b - 2)*(b + 1)
Let b(k) be the third derivative of k**7/2520 - k**5/120 + k**4/12 + k**2. Let s(t) be the second derivative of b(t). Suppose s(l) = 0. Calculate l.
-1, 1
Let j(k) = -k**5 - 7*k**4 + 4*k**3 + 4*k**2 + 3. Let u(s) = 4*s**5 + 20*s**4 - 12*s**3 - 12*s**2 - 8. Let n(g) = -8*j(g) - 3*u(g). Determine z so that n(z) = 0.
-1, 0, 1
Let k(u) be the second derivative of -u**4/24 + u**3/6 - u**2/4 + 9*u. Factor k(y).
-(y - 1)**2/2
Let t(h) = h**4 - 8*h**3 - 7*h - 7. Let k(b) = b**3 + b + 1. Let u(c) = -21*k(c) - 3*t(c). Solve u(x) = 0 for x.
0, 1
Let k(w) be the third derivative of -w**5/120 - w**4/24 - w**3/12 + w**2. Find f such that k(f) = 0.
-1
Let f(d) = -d**2 + 4. Let g(b) = -1. Let z(u) = 2. Let c(p) = 3*g(p) + z(p). Let n(i) = -3*c(i) - f(i). Factor n(q).
(q - 1)*(q + 1)
Let j(r) = -r**3 - 15*r**2 + 17*r + 18. Let g be j(-16). Let v(a) be the first derivative of -g + a - a**2 + 1/3*a**3. Let v(b) = 0. What is b?
1
Let j(o) = 7*o**4 - 4*o**3 + 2*o**2 + 4*o + 3. Let c(z) = z**4 + z**3 - z**2 + z + 1. Let s(r) = 4*c(r) - j(r). Factor s(v).
-(v - 1)**3*(3*v + 1)
Let o(b) be the third derivative of 2/45*b**5 - 5/36*b**4 + 0*b - 1/180*b**6 - 2*b**2 + 0 + 2/9*b**3. Factor o(u).
-2*(u - 2)*(u - 1)**2/3
Suppose 2 = 2*o - 6. Suppose o*y - 7*y = -9. Factor 2*d**3 - 10*d**3 + 3*d**2 - 6*d**y + d**2.
-2*d**2*(7*d - 2)
Suppose 5*t + 34 = 3*z, 3*z + 0*t - t = 14. Factor -34*g**2 + 3*g**5 - 2*g**3 + z*g**4 + 31*g**2 - g**3.
3*g**2*(g - 1)*(g + 1)**2
Let z(x) be the second derivative of -x**5/16 + 35*x**4/48 + 85*x**3/24 + 45*x**2/8 - 57*x. Factor z(w).
-5*(w - 9)*(w + 1)**2/4
Let r(q) = q**2 + 13*q + 36. Let h be r(-4). Factor 0*t + h + 0*t**3 + 2/5*t**4 - 2/5*t**2.
2*t**2*(t - 1)*(t + 1)/5
Let u(r) = -6*r**3 + 8*r**2 + 2*r - 8. Let w(l) = -13*l**3 + 16*l**2 + 3*l - 16. Let h(t) = -5*u(t) + 2*w(t). Find j, given that h(j) = 0.
-1, 1, 2
Let f(k) be the third derivative of -k**8/672 - k**7/105 + k**6/80 + k**5/12 - k**4/6 + 2*k**2. Find a, given that f(a) = 0.
-4, -2, 0, 1
Let z(o) be the third derivative of o**5/100 - o**4/40 - o**3/5 + 7*o**2. Find k such that z(k) = 0.
-1, 2
Suppose 0*b + 16/5*b**4 + 8/5*b**2 - 4*b**3 + 0 - 4/5*b**5 = 0. What is b?
0, 1, 2
Solve -8*g + 12*g**5 - 28*g**4 - 28*g**5 - 32*g**2 + 10*g**5 - 46*g**3 = 0 for g.
-2, -1, -2/3, 0
Let h be (1 - (0 - 3))/(12/6). Suppose 2/5*s**4 + 0 + 0*s**3 + 0*s - 2/5*s**h = 0. Calculate s.
-1, 0, 1
Let h(x) = 12 - 4*x**3 - 13 + 5*x**3. Let l(n) = 5*n**3 + 20*n**2 + 32*n + 15. Let y(b) = -h(b) + l(b). Factor y(i).
4*(i + 1)*(i + 2)**2
Let o(b) be the second derivative of -b**4/12 - 2*b**3/3 - 2*b**2 - 12*b. Factor o(u).
-(u + 2)**2
Let x be 0 - 32/(-6) - 4. Let p(n) be the third derivative of 0*n + 1/2*n**4 + 1/120*n**6 + x*n**3 + n**2 + 0 + 1/10*n**5. Factor p(z).
(z + 2)**3
Let h be (0 - 2/(-9)) + 0. Let i(t) be the third derivative of 1/20*t**6 + 5/36*t**4 - 4*t**2 + 0 + 8/45*t**5 - h*t**3 + 0*t. Factor i(u).
2*(u + 1)**2*(9*u - 2)/3
Let h(g) be the first derivative of 3 + 0*g + 1/3*g**3 + 1/4*g**4 - g**2. Factor h(c).
c*(c - 1)*(c + 2)
Let t(v) be the first derivative of -v**6/540 + v**4/108 - 3*v**2 - 4. Let b(s) be the second derivative of t(s). Factor b(m).
-2*m*(m - 1)*(m + 1)/9
Let g(n) be the first derivative of n**7/294 - n**6/70 + n**5/140 + n**4/28 - n**3/21 + 7*n + 8. Let z(j) be the first derivative of g(j). Solve z(k) = 0.
-1, 0, 1, 2
Suppose 0 = m - 3*m + 24. Let d be (7 - m)/((-10)/4). Find r, given that -1/3*r**d - 1/3*r + 1/3 + 1/3*r**3 = 0.
-1, 1
Suppose 0 = -b + 4*b - 9. Factor -3*u**3 - u**4 + u**3 - 2*u**2 + 2*u**4 + b*u**2.
u**2*(u - 1)**2
Let -72*u + 154 + 39 + 455 + 2*u**2 = 0. Calculate u.
18
Factor 43/2*n**3 + 241/4*n**2 + 25/4 + 35*n + 2*n**5 - 17*n**4.
(n - 5)**2*(2*n + 1)**3/4
Suppose -5*p = 3*u - 20, u - 6 = -0*u - p. Let i be (7/(-35))/((-4)/u). Factor i*t - 1/4 + 1/4*t**2 - 1/4*t**3.
-(t - 1)**2*(t + 1)/4
Let l(r) be the first derivative of r**6/4 - r**5/20 - 3*r**4/4 + r**3/6 + 3*r**2/4 - r/4 - 10. Solve l(u) = 0.
-1, 1/6, 1
Suppose 11*z - 12 = 7*z. Let r(s) be the first derivative of -1/3*s + 3 + 2/3*s**2 - 1/3*s**z. Suppose r(v) = 0. Calculate v.
1/3, 1
Let p = 28/171 + -1/19. Let s(b) be the first derivative of -4 + p*b**3 - 1/2*b**2 + 2/3*b. What is a in s(a) = 0?
1, 2
Factor -3*i**4 + 41*i - 21*i**3 - 24 - 101*i - 13*i**2 - 41*i**2.
-3*(i + 1)*(i + 2)**3
Suppose o + 189 - 194 = 0. Let f be (-8)/(-6) - 4/(-6). Find w such that 0*w**f + 2/7*w + 2/7*w**o + 0 - 4/7*w**3 + 0*w**4 = 0.
-1, 0, 1
Let 0*j + 16*j**5 - 16/3*j**3 + 140/3*j**4 - 4*j**2 + 0 = 0. Calculate j.
-3, -1/4, 0, 1/3
Let d(r) be the third derivative of r**7/630 - r**6/180 - r**4/24 - 4*r**2. Let a(k) be the second derivative of d(k). Factor a(g).
4*g*(g - 1)
Let p(x) be the second derivative of -3*x + 2/3*x**3 + 0*x**2 + 4/3*x**4 - 8/15*x**6 - 1/5*x**5 + 0. Suppose p(u) = 0. Calculate u.
-1, -1/4, 0, 1
Let r = 17 + 3. Let p = 24 - r. Factor 0*q - 1/4*q**p - 1/4*q**2 - 1/2*q**3 + 0.
-q**2*(q + 1)**2/4
Let x = -4 - -6. Let k(l) = -1 + 0 + x*l**2 - 4*l**2. Let h(v) = v**2 + v. Let p(q) = -3*h(q) - 2*k(q). Factor p(g).
(g - 2)*(g - 1)
Suppose 3*h + j - 8 = 0, -5*j = h + 4 - 2. Let i(w) be the second derivative of 2/3*w**3 + 0*w**2 + 0 - 1/2*w**4 + 1/10*w**5 + h*w. Factor i(u).
2*u*(u - 2)*(u - 1)
Let k(n) be the first derivative of 2*n**5/5 + 5*n**4/2 + 6*n**3 + 7*n**2 + 4*n - 13. Factor k(u).
2*(u + 1)**3*(u + 2)
Let d = 142 + -708/5. Suppose 2*n - 4 = 2*w, -5*n + 15 = w - 1. Determine s, given that 0 - 4/5*s**2 + 2/5*s**n + d*s = 0.
0, 1
Determine x, given that -4*x**4 + 4*x + 55 - 55 - 4*x**3 + 4*x**2 = 0.
-1, 0, 1
Let w(o) be the third derivative of o**9/272160 + o**8/90720 + o**5/15 + o**2. Let h(f) be the third derivative of w(f). Let h(z) = 0. What is z?
-1, 0
Let u(s) be the second derivative of s**4/2 + 2*s**3/3 + 2*s**2 + s. Let j(t) = -7*t**2 - 5*t - 5. Let v(h) = -4*j(h) - 5*u(h). Factor v(y).
-2*y**2
Suppose 8*z - 3*z = 2*z. Let y(b) be the third derivative of 1/20*b**4 + 0*b - b**2 - 2/15*b**3 + z - 1/150*b**5. Factor y(m).
-2*(m - 2)*(m - 1)/5
Solve 2/7*y**3 + 2/7*y**4 - 2/7*y + 0 - 2/7*y**2 = 0 for y.
-1, 0, 1
Let j(o) = 13*o**4 + o**3 - 9*o**2 + 17*o + 5. Let q(s) = 3*s**4 - 2*s**2 + 4*s + 1. Let x(h) = -2*j(h) + 9*q(h). Solve x(b) = 0 for b.
-1, 1
Let i(r) be the third derivative of 2/3*r**3 + 1/4*r**4 + 0*r - 1/30*r**5 + 2*r**2 + 0 - 1/20*r**6 - 1/105*r**7. Find k such that i(k) = 0.
-2, -1, 1
Let q(z) be the third derivative of -z**8/1008 - z**7/315 - 10*z**2. Factor q(h).
-h**4*(h + 2)/3
Let t(l) be the third derivative of -7/480*l**6 - 1/140*l**7 + 0 - 1/96*l**4 + 0*l**3 + 1/40*l**5 + 4*l**2 + 0*l + 1/168*l**8. Determine w so that t(w) = 0.
-1, 0, 1/4, 1/2, 1
Let d(m) be the first derivative of m**6/60 - m**5/30 - m**2 + 1. Let y(g) be the second derivative of d(g). Factor y(z).
2*z**2*(z - 1)
Suppose 0 = -2*o, -5*o + 1 = -3*v + 10. Determine k so that 7*k**2 - 3*k**2 - 2*k + 3 - v*k**2 - 2 = 0.
1
Let k(q) be the first derivative of -1/7*q**3 + 3 + 1/28*q**4 + 3/14*q**2 - 1/7*q. Factor k(s).
(s - 1)**3/7
Let l = -43 + 64. Let t be 2 - (-12)/l*9. Factor -32/7*b + t*b**3 + 10/7*b**2 + 8/7.
2*(b + 1)*(5*b - 2)**2/7
Factor -4/19*t**3 - 2/19*t**4 + 6/19*t**2 + 8/19*t - 8/19.
-2*(t - 1)**2*(t + 2)**2/19
Suppose 0*y + 2/5*y**2 - 2/5 = 0. What is y?
-1, 1
Let v(w) = w**3 + 8*w**2 - 9*w + 2. Let q be v(-9). Factor -15*p + 3*p**2 + 27*p + 12 + 0*p**q.
3*(p + 2)**2
Let h = 1/3 - -1/3. Let c be (8/6)/(24 + -23). Factor -h*t**2 + c*t - 2/3.
-2*(t - 1)**2/3
Let o be ((-45)/(-35))/((-12)/(-21)). Find v such that -v**4 + 1/4*v - o*v**2 + 1/4 + 11/4*v**3 = 0.
-1/4, 1
Let o(h) be the third derivative of -h**7/140 - h**6/20 - 3*h**5/40 + h**4/4 + h**3 - 2*h**2. Determine g so that o(g) = 0.
-2, -1, 1
Let z(t) be the first derivative of t**7/420 - t**6/45 + t**5/12 - t**4/6 + t**3/3 + 3. Let g(v) be the third derivative of z(v). Factor g(p).
2*(p - 2)*(p - 1)**2
Let v(k) = k + 2*k**2 + 1 - k**2 - 3. Let a(p) = 3*p**2 + 3*p - 7. Let l(x) = 2*a(x) - 7*v(x). Factor l(c).
-c*(c + 1)
Let n = -12 - -4. Let s = 12 + n. Let -2/3*q**2 + 2*q**3 + 4/3 - 2*q - 