2*k + 2*k**4 + 2*k**3 + 0*k + 0*k**f.
2*k*(k - 1)*(k + 1)**2
Let a(d) be the first derivative of -d**5/10 + 3*d**4/8 + 44. Factor a(u).
-u**3*(u - 3)/2
Let k(v) be the second derivative of -v**7/4200 + v**5/600 - v**3/3 - 3*v. Let l(d) be the second derivative of k(d). Factor l(q).
-q*(q - 1)*(q + 1)/5
Let j(d) = -2*d - 9. Let f be j(-7). Let u(b) be the second derivative of -1/90*b**6 + b + 1/36*b**4 + 1/60*b**f + 0*b**2 + 0 - 1/18*b**3. Factor u(n).
-n*(n - 1)**2*(n + 1)/3
Let g(h) = 52*h**3 - 84*h**2 - 100*h + 20. Let c(k) = 17*k**3 - 28*k**2 - 33*k + 7. Let m(n) = 16*c(n) - 5*g(n). Factor m(t).
4*(t - 3)*(t + 1)*(3*t - 1)
Let r(t) = t**2 + 6*t. Let b be r(-6). Let n(v) be the third derivative of 0*v**5 + 0*v**3 + 0 + 0*v + 1/300*v**6 - 2*v**2 + b*v**4. Factor n(y).
2*y**3/5
Let t be 40/(-1120) + 2/14*2. Factor -1/4*g**3 + 0 - t*g**5 - 1/2*g**4 + 0*g + 0*g**2.
-g**3*(g + 1)**2/4
Let c(f) be the first derivative of -1/13*f**2 + 10/39*f**3 + 0*f + 1 - 2/13*f**4. Factor c(o).
-2*o*(o - 1)*(4*o - 1)/13
Solve 3/8*n + 3/8*n**4 + 0 - 3/8*n**2 - 3/8*n**3 = 0.
-1, 0, 1
Factor 6/7*l**2 - 6/7*l**3 - 3/7 + 3/7*l**5 - 3/7*l**4 + 3/7*l.
3*(l - 1)**3*(l + 1)**2/7
Let n be (-14)/(-4)*(-40)/(-14). Suppose 4*h - i - 4 = -0, -h + n = 2*i. Determine f, given that 2*f**3 - f**5 - h*f - 4*f**2 + 5*f - 4*f + 2 + 2*f**4 = 0.
-1, 1, 2
Suppose z - 2*z + 4*r = -29, -43 = -2*z + 3*r. Suppose 3*v + 2 = z. What is k in 2/3*k**4 - 32/3*k**2 + 0 - 35*k**v + 71/3*k**3 + 4/3*k = 0?
-1, 0, 2/7, 1/3, 2/5
Let t(k) be the third derivative of -k**5/60 - k**4/4 + 3*k**2. Let f(p) = p**2 + 7*p. Let s(b) = -5*f(b) - 6*t(b). Factor s(u).
u*(u + 1)
Let g(y) be the first derivative of -3*y**4/4 + y**3 + 3*y**2/2 - 3*y + 4. Solve g(u) = 0 for u.
-1, 1
Suppose -3*g = 4*x - 9, -x + 2*g = -3*g + 15. Let p(k) be the first derivative of 1/9*k**3 + x*k**2 - 1/3*k + 3. Factor p(u).
(u - 1)*(u + 1)/3
Let f(n) be the third derivative of -1/4*n**4 + 2/3*n**3 + 0*n + 0 + 4*n**2 + 1/30*n**5. Determine s, given that f(s) = 0.
1, 2
Let k(f) = 2*f**2 - f**2 + 2 - 4*f - 2*f. Let c be k(6). Factor -4/5*o - 2/5*o**c + 0.
-2*o*(o + 2)/5
Let p(x) be the second derivative of x**5/80 - x**4/16 - 5*x. Determine k, given that p(k) = 0.
0, 3
Let b(c) be the first derivative of -2 + 38/3*c**3 + 8/5*c**5 + 8*c + 25/4*c**4 + 14*c**2 + 1/6*c**6. Determine q so that b(q) = 0.
-2, -1
Let t(c) be the second derivative of -c**7/1260 + c**6/360 + c**5/360 - c**4/72 - c**2 + 2*c. Let i(r) be the first derivative of t(r). Factor i(q).
-q*(q - 2)*(q - 1)*(q + 1)/6
Let w(s) be the second derivative of 0*s**2 + 0*s**3 + 0 + 1/21*s**7 + 0*s**4 - 1/10*s**5 + 0*s**6 - 4*s. What is j in w(j) = 0?
-1, 0, 1
Let q = -1/31 + 34/93. Let u be -2*(-1)/(-1 + 2). Suppose q*h**u - 1/3*h + 0 = 0. What is h?
0, 1
Suppose 2*y - 28 = 5*k - 10, 0 = -4*y + 4*k + 12. Let v(l) = 3*l**4 + 27*l**3. Let c(g) = g**3. Let s(z) = y*v(z) + 18*c(z). What is j in s(j) = 0?
-3, 0
Let o = -1072 + 1072. Determine c so that -8/21*c**3 + 0*c - 2/7*c**2 + o - 2/21*c**4 = 0.
-3, -1, 0
Determine o, given that -2/9*o**3 - 2/3*o + 2/9 + 2/3*o**2 = 0.
1
Let p(t) be the first derivative of 0*t + 4 + t**2 + 2/5*t**5 + 3/2*t**4 + 2*t**3. Let p(c) = 0. Calculate c.
-1, 0
Let z(h) = 5*h**4 - 38*h**3 + 72*h**2 - 48*h + 3. Let j(n) = 10*n**4 - 75*n**3 + 145*n**2 - 95*n + 5. Let r(a) = -3*j(a) + 5*z(a). Factor r(p).
-5*p*(p - 3)**2*(p - 1)
Let c(z) = 11*z**2 - 9*z - 20. Let o(w) = 5*w**2 - 5*w - 10. Let l(n) = -4*c(n) + 9*o(n). Let f(u) = 9*u + 9. Let y(d) = -4*f(d) - 3*l(d). Factor y(s).
-3*(s + 1)*(s + 2)
Let b = 2 + -1. Let y = b + 3. Factor y*s**4 + s**3 + s**2 - 3*s**4 + s**3.
s**2*(s + 1)**2
Factor 2/3*r**2 + 4/3*r + 0.
2*r*(r + 2)/3
Let h(q) = q**2 + 7*q + 12. Let j be h(-5). Find w, given that 3*w**5 + 25*w**4 - 28*w**4 - 3*w**3 + 3*w**j + 0*w**3 = 0.
-1, 0, 1
Factor 5*s**4 - 11*s**2 - 20*s + s**2 + 10*s**2 + 15*s**3.
5*s*(s - 1)*(s + 2)**2
Suppose -5*l = 2*m - 3*l - 12, -38 = -5*m + 3*l. Suppose -h - 9 = -3*p + m*p, 0 = 4*h + 2*p - 20. Find i, given that -4 + 4*i**2 - h*i - 2*i**2 + 5*i = 0.
-1, 2
Let i(k) be the third derivative of k**6/240 + k**5/20 + 3*k**4/16 - 15*k**2. Factor i(q).
q*(q + 3)**2/2
Let z(u) = 4*u**3 - 2*u**3 - 3*u**3 + u**2. Suppose 0*l = -l + 1. Let a(g) = 4*g**3 - 6*g**2 + 2*g. Let q(v) = l*a(v) + 6*z(v). Suppose q(b) = 0. What is b?
-1, 0, 1
Let b = 8 + -6. Let 4 - 4 - 2*r - 2*r**3 - 4*r**2 + 0*r**b = 0. Calculate r.
-1, 0
Let k(b) be the second derivative of b**6/345 - b**5/46 + 4*b**4/69 - 4*b**3/69 - 7*b. Solve k(y) = 0 for y.
0, 1, 2
Let h(a) = -a**2 - a - 1. Let l(q) = -14*q**2 - 6*q - 16. Let n(c) = -12*h(c) + l(c). Factor n(j).
-2*(j - 2)*(j - 1)
Suppose 28 = -4*o - 4. Let c = -5 - o. Determine s so that 2/3*s**4 + 2/3*s - 2/3*s**c - 2/3*s**2 + 0 = 0.
-1, 0, 1
Suppose -24*g + 23*g = 0. Factor -2/5*a**2 + g + 0*a - 2/5*a**3.
-2*a**2*(a + 1)/5
Let r = 1 - 1. Let l = 8 - 8. What is v in 5/2*v**4 + v**2 + r + 7/2*v**3 + l*v = 0?
-1, -2/5, 0
Let k = -1167 - -8171/7. Factor -k*h**2 + 0 - 4/7*h.
-2*h*(h + 2)/7
Let f be ((-2)/(-3))/((-1)/((-12)/28)). Factor 2/7*m + 0 - f*m**2.
-2*m*(m - 1)/7
Let k(b) = -8*b**3 + 8*b**2 + 10*b + 6. Suppose -5*f + 2 = -28. Let g(s) = 17*s**3 - 17*s**2 - 21*s - 13. Let y(t) = f*g(t) + 13*k(t). Factor y(u).
-2*u*(u - 2)*(u + 1)
Let a(l) = 4*l + 4. Let n be a(7). Suppose -4*y = -b - n, 0*b - 23 = -3*y + b. What is o in -y*o**2 + 9*o**2 - 2*o + 2*o**3 = 0?
-1, 0, 1
Suppose -27 - 21 = -16*y. Factor 0 - 1/5*s**2 - 1/5*s**y + 0*s.
-s**2*(s + 1)/5
Let v(g) = 6*g**4 - 45*g**3 + 216*g**2 - 477*g + 387. Let w(a) = -7*a**4 + 46*a**3 - 216*a**2 + 476*a - 388. Let m(t) = 4*v(t) + 3*w(t). Factor m(f).
3*(f - 4)**3*(f - 2)
Determine s so that -1 - 3 - s**2 + 1 + 4*s**2 = 0.
-1, 1
Let x be ((-9)/(-8))/(1/(-36)). Let m = -40 - x. Let -m*t**2 + 1/4 + 0*t + 0*t**3 + 1/4*t**4 = 0. Calculate t.
-1, 1
What is p in 232*p**3 - 484 - 1192*p**2 - 107*p + 221*p + 4*p**5 + 76*p**4 + 1250*p = 0?
-11, 1
Suppose 5*z + 2*j - 13 = 0, 4*z = -4*j + 3 + 5. Suppose -z = -4*v + 5. Factor -2/7*a**v + 0 + 0*a**3 + 0*a + 2/7*a**4.
2*a**2*(a - 1)*(a + 1)/7
Let c(u) be the third derivative of -u**5/12 + 35*u**4/12 - 245*u**3/6 - 47*u**2. Suppose c(r) = 0. Calculate r.
7
Let m(n) be the third derivative of n**5/240 - 5*n**4/96 + n**3/4 - 8*n**2. Let m(x) = 0. Calculate x.
2, 3
Let q = 33 + -15. Solve 24 - 3*u**3 + q*u**2 - 4*u - 30*u + 7*u - 9*u = 0 for u.
2
Suppose -11 = -2*z - 11. Find i, given that -4/5*i**2 + 2/5*i**3 + z*i + 0 = 0.
0, 2
Let j be 8/(-10)*65/(-26). Determine c so that 2*c**2 + 3*c**j - 3 - 2*c**2 = 0.
-1, 1
Let v(b) be the second derivative of -3*b**5/20 + 5*b**4/4 - 7*b**3/2 + 9*b**2/2 - 4*b. Let v(o) = 0. Calculate o.
1, 3
Let n(f) be the first derivative of -9*f**4/20 + 4*f**3/5 - 3*f**2/10 + 5. Factor n(q).
-3*q*(q - 1)*(3*q - 1)/5
Let o = 6 + 0. Let n(b) = -b + 9. Let f be n(o). Factor 3*c**4 - 5*c**2 + c - 1 + 3 + 2*c**3 - 3*c**f.
(c - 1)**2*(c + 1)*(3*c + 2)
Let d(u) be the third derivative of u**9/75600 - u**7/12600 - u**4/12 - 2*u**2. Let z(y) be the second derivative of d(y). Find r, given that z(r) = 0.
-1, 0, 1
Let b be -2 - 2 - (78/(-10) + 3). Factor -b*r - 2/5 + 14/5*r**2 - 8/5*r**3.
-2*(r - 1)**2*(4*r + 1)/5
Let l(y) = 3*y**4 + y**2 - 4*y. Let x(r) = 7*r**4 - r**3 + 3*r**2 - 9*r. Let h(i) = 15*l(i) - 6*x(i). Let h(v) = 0. What is v?
-2, -1, 0, 1
Let d(u) = 2*u + 1. Let o be d(8). Suppose 3*y = -0*y - 5*a + 21, -3*a + o = 4*y. Factor -t - t**2 - 2*t**y + 2*t**3 + 2*t**3.
t*(t - 1)*(4*t + 1)
Let b(z) be the second derivative of -2*z**7/7 - 16*z**6/15 + z**5 + 10*z**4 + 56*z**3/3 + 16*z**2 - 19*z + 3. Solve b(i) = 0 for i.
-2, -1, -2/3, 2
Let i(c) = -20*c**4 - 74*c**3 - 60*c**2 - 34*c + 14. Let r(w) = -4*w**4 - 15*w**3 - 12*w**2 - 7*w + 3. Let q(n) = 3*i(n) - 14*r(n). Factor q(z).
-4*z*(z + 1)**3
Let u = 43/4 + -41/4. Factor u*s**2 + s - 3/2.
(s - 1)*(s + 3)/2
Suppose -5*i + 4*q = 10, -2*q = 5*i - 4*q. Suppose 5*w + 7 - 27 = 0, 2*g + 12 = 5*w. Factor -2/3*o**3 + 2/3*o - 2/3*o**i + 2/3*o**g + 0.
2*o*(o - 1)**2*(o + 1)/3
Let h(s) be the third derivative of 81/2*s**3 + 27/2*s**4 + 3/10*s**6 + 0 - 2*s**2 + 1/70*s**7 + 0*s + 27/10*s**5. Factor h(d).
3*(d + 3)**4
Let a(c) be the second derivative of -1/6*c**4 - 2/25*c**5 + 0