*a**3 - 4*a**2. Let u(m) be the second derivative of h(m). Factor u(r).
-2*(r + 1)*(r + 3)/11
Let j be (-36)/(-39) + 912/(-988). Let -3/4*g**4 + 3/4*g**3 + 1/4*g**5 + 0 + j*g - 1/4*g**2 = 0. What is g?
0, 1
Let h be 1*(1*(0 + 0))/1. Let r(m) be the second derivative of 3*m - 1/5*m**5 + h + 0*m**3 - 1/12*m**4 + 0*m**2. Find k, given that r(k) = 0.
-1/4, 0
Let i(q) be the first derivative of q**2 - 2*q - 2. Let w be i(3). Suppose 3*j**3 - 6*j**3 - j**3 - 4 + w*j + 4*j**2 = 0. Calculate j.
-1, 1
Let q be ((-144)/(-27))/(-8)*2/(-560). Let u(y) be the third derivative of 0*y**3 - q*y**5 + 0*y**4 + 0 + 0*y - 3*y**2. Suppose u(x) = 0. What is x?
0
Let x(i) be the third derivative of -i**10/30240 + i**8/4032 + i**5/5 + 20*i**2. Let g(h) be the third derivative of x(h). Find c, given that g(c) = 0.
-1, 0, 1
Let f be (96/9)/(-8) - (-1 + 4). Let o = f - -5. Factor o*l + 0 - 2/3*l**2.
-2*l*(l - 1)/3
Factor -2/3*v**3 - 4 + 14/3*v + 0*v**2.
-2*(v - 2)*(v - 1)*(v + 3)/3
Let f be -2*(-4)/8 + 3. Suppose -f*j + 21 + 5 = 2*k, -4*j = -16. Solve 21*q**3 + 6*q**2 - 3*q**5 + 4*q**5 + 8*q**k + 24*q**4 = 0.
-1, -2/3, 0
Let q(s) be the third derivative of -1/20*s**5 - 6*s**2 + 0*s + 0 + s**3 + 1/8*s**4. Factor q(u).
-3*(u - 2)*(u + 1)
Suppose 0 = -3*m, -5*p = 5*m - 6 - 19. Suppose p = n + 3. Find w such that 2*w**2 - w**5 + w**3 - w**4 - 6*w**n + 5*w**2 = 0.
-1, 0, 1
Let l(a) be the first derivative of -2*a**5/105 + 3*a**4/28 - 2*a**3/21 - 3*a**2/2 + 10. Let m(z) be the second derivative of l(z). Find v, given that m(v) = 0.
1/4, 2
Let i(y) be the third derivative of -y**8/70560 - y**7/4410 - y**6/840 + y**5/4 - y**3/6 - 51*y**2. Let h(v) be the third derivative of i(v). Factor h(d).
-2*(d + 1)*(d + 3)/7
Let u(h) be the second derivative of h**6/210 - h**5/21 - h**4/7 - 16*h**2 - h - 3. Let d(a) be the first derivative of u(a). Find b such that d(b) = 0.
-1, 0, 6
Let m be -1*59/(-123) + 0. Let b = m - 6/41. Let 1/3*p + 2/3 - b*p**2 = 0. What is p?
-1, 2
Let t(f) = -f - 1. Let p be t(-3). Let i be 0 + -1 + (3 - -4) + -2. Factor -v + 2*v**2 - i*v**p + 0*v + 3*v**2.
v*(v - 1)
Suppose -p - 2 = -2*p. Suppose p*o + q - 2 = o, q = 5*o - 10. Suppose 1/4*c**3 - 1/4*c + 0*c**o + 0 = 0. Calculate c.
-1, 0, 1
Factor 48*v**3 + 42*v**3 + 41*v**3 - v**4 - 137*v**3.
-v**3*(v + 6)
Let i(h) = 2*h**4 + 208*h**3 - 2490*h**2 + 2310*h. Let t(q) = 3*q**4 + 414*q**3 - 4981*q**2 + 4619*q. Let l(o) = 11*i(o) - 6*t(o). Find u, given that l(u) = 0.
0, 1, 24
Let j(z) be the first derivative of -5*z**3/3 - 15*z**2/2 + 50*z - 54. Let j(u) = 0. Calculate u.
-5, 2
Let a(z) be the second derivative of -2*z**6/15 - 262*z**5/5 - 7656*z**4 - 454140*z**3 - 1317006*z**2 - 433*z. Factor a(y).
-4*(y + 1)*(y + 87)**3
Let u(v) = 2*v**3 - 12*v**2 - 2*v - 22. Let x be u(9). Find k, given that -442*k**4 + 4*k**5 - 2*k**5 + x*k**4 = 0.
-2, 0
Let p = -7/3 + 8/3. Let s(v) be the first derivative of -1 - p*v + v**2 + 7/9*v**3. Factor s(r).
(r + 1)*(7*r - 1)/3
Find p, given that -15*p**4 - 3/2*p**5 - 69/2*p + 18 + 36*p**3 - 3*p**2 = 0.
-12, -1, 1
Let -7*q - 1/3*q**2 - 20/3 = 0. What is q?
-20, -1
Let r(c) be the second derivative of -4/33*c**3 + 0*c**2 + 0*c**4 + 3/110*c**5 + 1/165*c**6 + 0 - c. Factor r(h).
2*h*(h - 1)*(h + 2)**2/11
Let w be (6/4)/(-4 + 63/14). Let x(v) be the second derivative of -1/10*v**5 - 1/4*v**2 - 1/6*v**w - 7*v + 0 + 7/24*v**4. Factor x(r).
-(r - 1)**2*(4*r + 1)/2
Suppose -600 - 2375 = -109*m - 795. Find n such that m*n + 195*n**3 + 25*n**5 + 0 + 245/2*n**4 + 110*n**2 = 0.
-2, -1/2, -2/5, 0
Suppose 11*d = 7*d + 12. Let j be (5/((-150)/8))/((-2)/d). Let 0*n**2 + 2/5*n**3 + 0 + j*n**4 + 0*n = 0. What is n?
-1, 0
Suppose -5*q - 5*y = 35, -3*q - 2*q - 55 = y. Let a = -10 - q. Find h, given that h + h**a + 1/3*h**3 + 1/3 = 0.
-1
Solve 3*p + 0*p**3 + 7/2*p**2 + 0 - 1/2*p**4 = 0 for p.
-2, -1, 0, 3
Let m(z) = -z + 3. Let v(q) = 3*q**2 - 144*q + 1857. Let n(u) = -6*m(u) - v(u). Solve n(k) = 0 for k.
25
Let 15/7*r + 0 + 3/7*r**2 = 0. What is r?
-5, 0
What is l in -1721*l**2 + 3*l**4 + 1746*l**2 - 20*l**3 + 2*l**4 - 10*l = 0?
0, 1, 2
Find d, given that 0 + 20/19*d**4 + 2/19*d**5 + 34/19*d**3 + 0*d + 16/19*d**2 = 0.
-8, -1, 0
Let z(q) be the first derivative of 3 + 8/13*q + 1/26*q**4 + 9/13*q**2 + 4/13*q**3. Factor z(k).
2*(k + 1)**2*(k + 4)/13
Let z = 409 + -405. Let i(r) be the first derivative of 5/14*r**z + r**2 - 2/35*r**5 - 4/7*r - 6/7*r**3 + 6. Factor i(y).
-2*(y - 2)*(y - 1)**3/7
Let x be (1 + 4 + -5)*(-6)/(-12). Let q(f) be the second derivative of 1/60*f**5 + 0*f**4 + 0 + 1/90*f**6 + 5*f + 0*f**2 + x*f**3. Factor q(h).
h**3*(h + 1)/3
Let x(c) be the second derivative of c**7/1155 - c**5/330 + 5*c**2/2 + 2*c. Let u(v) be the first derivative of x(v). Factor u(n).
2*n**2*(n - 1)*(n + 1)/11
Let m = -1222 - -1225. Let u(v) be the third derivative of 0 + 0*v**4 + 0*v**m + 1/15*v**5 + 2*v**2 - 1/30*v**6 + 0*v. Factor u(s).
-4*s**2*(s - 1)
Suppose -2*r + 2 = 2*u, 474*u - 475*u - 3*r - 1 = 0. Factor 9/7 - 9/7*m**u - 3/7*m**3 + 3/7*m.
-3*(m - 1)*(m + 1)*(m + 3)/7
Let j(q) = 7*q + 100. Let f be j(-14). Factor -3/4*g**3 - 1/2 + 1/4*g**4 + 1/4*g**f + 3/4*g.
(g - 2)*(g - 1)**2*(g + 1)/4
Let m(a) be the second derivative of -a**8/6720 - a**7/3360 + a**6/720 + 3*a**3 - 25*a. Let u(w) be the second derivative of m(w). Factor u(p).
-p**2*(p - 1)*(p + 2)/4
Let z(q) = 2*q**4 - 8*q**3 - 4*q**2 - 6. Let m(s) be the second derivative of s**6/30 - s**2/2 - 24*s. Let c(y) = -6*m(y) + z(y). Factor c(t).
-4*t**2*(t + 1)**2
Factor 0 + 0*o - 4/7*o**4 + 0*o**2 - 4/7*o**3.
-4*o**3*(o + 1)/7
Suppose 186*u**2 - 62 - 191*u**2 - 9 + 12 + 60*u - 76 = 0. What is u?
3, 9
Let q(i) be the third derivative of 0*i + 25/24*i**4 - 1/24*i**5 - 125/12*i**3 - 10*i**2 + 0. Factor q(g).
-5*(g - 5)**2/2
Let v(m) be the first derivative of 2*m**7/3 - 6*m**6/5 + 2*m**5/5 + 19*m - 19. Let q(h) be the first derivative of v(h). Solve q(w) = 0 for w.
0, 2/7, 1
Let z(u) = -u**3 + u - 1. Let k(y) = -4*y**4 - 16*y**3 + 4*y**2 + 16*y - 16. Suppose 5*w + v = 2*v - 78, -w - 12 = -2*v. Let n(i) = w*z(i) + k(i). Factor n(o).
-4*o**2*(o - 1)*(o + 1)
Let d be (-33)/6*1776/(-3256). Factor -8*i + 4*i**2 - 2/3*i**d + 16/3.
-2*(i - 2)**3/3
Let q(h) be the first derivative of 12*h**5/35 - 3*h**4/28 + 114. Determine f so that q(f) = 0.
0, 1/4
Let z(x) be the first derivative of x**4/3 + 16*x**3/3 - 8*x**2/3 - 64*x + 399. Suppose z(o) = 0. What is o?
-12, -2, 2
Suppose 2*u - 5*c - 55 = -3*u, -u - 1 = 2*c. Suppose -u*p = -p - 24. Suppose d**4 + d**2 - 6 - 2*d**3 + p + 2 = 0. What is d?
0, 1
Let m be 1/(((-4)/70)/(16/(-20))). Factor 2*z**2 + m*z - 4 - 6*z**3 - 6*z**2 - 5*z**3 + 5*z**3.
-2*(z - 1)*(z + 2)*(3*z - 1)
Let l(u) = 7*u**2 + u - 8. Let a(n) = -10*n**2 - 2*n + 12. Let x(z) = -5*a(z) - 7*l(z). Let j be x(-5). Factor 0 - 4 - 2*d**2 + 2 - 2 + j*d.
-2*(d - 2)*(d - 1)
Factor x + 17*x**2 + 15*x**2 + 4*x**5 - 40*x**3 + 35*x + 1437*x**4 - 1469*x**4.
4*x*(x - 9)*(x - 1)*(x + 1)**2
Solve -97*a**2 - 47*a**2 - 9*a**3 - 48*a**4 + 165*a**3 + 3*a**5 = 0.
0, 2, 12
Let u = 61/3 - 20. Let o = 10 - 8. Factor 1/3*i**o + 2/3*i**3 + 0*i + 0 + u*i**4.
i**2*(i + 1)**2/3
Let y(q) be the first derivative of 1/2*q + 2/3*q**3 - 5/6*q**2 + 1/30*q**5 - 3 - 1/4*q**4. Factor y(k).
(k - 3)*(k - 1)**3/6
Let h(w) be the first derivative of 1/2*w**2 - 1 + 1/8*w**3 + 1/80*w**5 - 1/16*w**4 + 0*w. Let p(y) be the second derivative of h(y). Find a such that p(a) = 0.
1
Factor 6128487/2 + 549/2*f**2 - 100467/2*f - 1/2*f**3.
-(f - 183)**3/2
Factor 77 + 74*g**2 - 4*g**3 - 77 + 38*g**2.
-4*g**2*(g - 28)
Suppose -5*u + 8*l + 24 = 7*l, 0 = -3*u - 3*l. Let s(v) be the second derivative of -1/42*v**4 + u*v - 2/21*v**3 - 1/7*v**2 + 0. Factor s(m).
-2*(m + 1)**2/7
Let p be (64/(-56))/(4/(-14)). Determine j, given that -3*j**2 - 2*j**2 - 15*j**p + 20*j**4 = 0.
-1, 0, 1
Let q(n) be the third derivative of -4*n**2 + 0 + 1/240*n**6 + 1/60*n**5 - 1/6*n**3 + 0*n - 1/48*n**4. Find t, given that q(t) = 0.
-2, -1, 1
Suppose 0*n**4 - 1/3*n + 2/3*n**3 - 1/3*n**5 + 0*n**2 + 0 = 0. Calculate n.
-1, 0, 1
Let g(l) be the second derivative of -2*l**7/105 + 2*l**6/75 + 2*l - 61. Factor g(x).
-4*x**4*(x - 1)/5
Let o(d) be the first derivative of 25/3*d**3 - 5*d**5 - 8 + 0*d + 5/2*d**6 - 5/4*d**4 - 5*d**2. Let o(w) = 0. C