 0*a**3 + 0*a**5. Determine b so that v(b) = 0.
-1, 0, 1
Let p(n) be the third derivative of -1/24*n**4 + 1/120*n**6 + 0*n**3 + 0*n + 35*n**2 + 1/60*n**5 - 1/210*n**7 + 0. Let p(t) = 0. Calculate t.
-1, 0, 1
Suppose 2/11*s**3 - 120/11*s**2 + 2400/11*s - 16000/11 = 0. Calculate s.
20
Let x = 18 - 12. Let g = -389 + 394. Factor g*a - 12 + 0*a + x*a - 3*a**2 + a.
-3*(a - 2)**2
Let f be (-322)/23*(-2)/7. Let 35*j**4 - 5 + 6*j**3 + f*j**3 - 148*j + 123*j + 15*j**5 - 30*j**2 = 0. What is j?
-1, -1/3, 1
Let w(t) be the second derivative of 1/72*t**4 + 1/36*t**3 - 1/120*t**5 + 0 + 0*t**2 - 1/180*t**6 + 6*t. Factor w(h).
-h*(h - 1)*(h + 1)**2/6
Factor 36*d**2 + 12*d - 13*d**2 - 21*d**2 + 18.
2*(d + 3)**2
Let z(l) be the third derivative of l**10/151200 - l**9/30240 + l**8/20160 - l**5/4 - 13*l**2. Let m(c) be the third derivative of z(c). Factor m(t).
t**2*(t - 1)**2
Suppose -11664 - 1/4*h**3 - 27*h**2 - 972*h = 0. Calculate h.
-36
Determine m, given that -3 + 37/4*m + 3/4*m**4 + 9/4*m**2 - 37/4*m**3 = 0.
-1, 1/3, 1, 12
Let o be (-2)/(-2) + (6 + -7)*-6. Let t be o/(-14) + 3/3. Factor 0 + t*r + 1/2*r**3 + r**2.
r*(r + 1)**2/2
Let h be 2/5 - 231/(-385). Factor h + 1/4*u**2 + u.
(u + 2)**2/4
Let n be (-39)/144 + (28/12 - 2). Let q(x) be the first derivative of 0*x + 0*x**2 - 6 - n*x**4 - 1/20*x**5 + 0*x**3. Suppose q(c) = 0. Calculate c.
-1, 0
Let r be (10 - 4032/400)*-90. Factor 12/5*s**3 + r*s**4 - 4*s**2 + 4/5*s + 0.
4*s*(s + 1)*(3*s - 1)**2/5
Solve -96/7 - 156/7*j**3 - 272/7*j - 4/7*j**5 - 40/7*j**4 - 296/7*j**2 = 0 for j.
-3, -2, -1
Suppose 2*t - 6*t = -3*c + 13, -4*c - 5*t = -7. Factor 0*b**2 - 10 - 26 + c*b - b**2 - 15*b.
-(b + 6)**2
Let u(a) = -3*a**4 + 15*a + 13*a**3 + 15*a**5 + 18*a**4 - 30*a**2 - 3*a**3 + 15. Let s(h) = -h**5 - h**3 + h**2 - 1. Let w(r) = 20*s(r) + u(r). Factor w(g).
-5*(g - 1)**4*(g + 1)
Suppose 8*q - 4 = 28. Let z(y) be the second derivative of -y + 0 + 2/9*y**3 + 1/54*y**q + y**2. Factor z(j).
2*(j + 3)**2/9
Let p(q) be the first derivative of -2*q**3/5 - 138*q**2/5 - 528*q/5 + 452. Find t such that p(t) = 0.
-44, -2
Suppose 70 + 16*y - 21 - 25*y + 5*y**2 + 11 - 31*y = 0. Calculate y.
2, 6
Suppose -q + 9 = 5*p - 18, 2*q = 2*p - 6. Suppose -3*l = 4*r - 1, -l + 6*l + 9 = 4*r. Let -r - 8 + 4*h**3 - 12*h**q + 25 = 0. What is h?
-1, 2
Let i = 23 + -15. Suppose -12*s = -10*s - i. Suppose -5 - 8*c + 4*c**2 - s*c**2 + 1 - 4*c**2 = 0. What is c?
-1
Let m(a) be the second derivative of -a**6/40 - 13*a**5/160 - a**4/16 + a**3/16 + a**2/8 + 58*a. Suppose m(r) = 0. What is r?
-1, -2/3, 1/2
Let l(a) be the first derivative of a**7/7 - a**6/15 - a**5/5 - a + 8. Let c(v) be the first derivative of l(v). Find r, given that c(r) = 0.
-2/3, 0, 1
Suppose s - 10 = -s + 2*z, -5*s + 25 = z. Factor 1/8*u**2 - 1/8*u**4 + 0 + 1/4*u + 1/8*u**s - 3/8*u**3.
u*(u - 2)*(u - 1)*(u + 1)**2/8
Suppose 49*p - 108 = 40*p. Let l be 4/(p/6 - -3). Find a such that 0*a**4 + 0 - l*a + 8/5*a**3 - 4/5*a**5 + 0*a**2 = 0.
-1, 0, 1
Suppose 3*g**3 + 8/3*g**2 - 17/6*g + 0 - 8/3*g**4 - 1/6*g**5 = 0. Calculate g.
-17, -1, 0, 1
Let q(i) = i - 6. Let t be q(6). Find b such that 16 - 10 + 10*b - 2*b + 2*b**2 + t*b = 0.
-3, -1
Let m(d) = d**2 + 4. Let k be m(0). Suppose 2*y - y - 5*n - 13 = 0, -76 = -k*y - 4*n. Factor -8*v - 22*v**2 + 5*v**4 - 24*v**3 - y*v**4 - 1 + 4*v**4.
-(v + 1)**2*(3*v + 1)**2
Let x(a) = -2*a**2 - 3*a - 4*a - a**3 + 6*a. Let v be x(-2). Let d - 28*d**4 - 30*d**v + 7*d + 46*d**3 + 6*d**5 - 2*d**2 = 0. What is d?
0, 2/3, 1, 2
Suppose -1 = 5*y - 4*n - 9, 5*n = -5*y - 10. Let d(q) be the third derivative of y*q - 1/20*q**4 + 12*q**2 + 0 + 1/150*q**5 - 4/15*q**3. Solve d(h) = 0.
-1, 4
Let p(l) be the first derivative of l**4/24 + l**3/18 - l**2/12 - l/6 - 18. Factor p(i).
(i - 1)*(i + 1)**2/6
Let t = 99/364 - 2/91. Let n(r) be the third derivative of -5*r**2 + t*r**4 + 0 + 1/10*r**5 + 1/3*r**3 + 1/60*r**6 + 0*r. Factor n(b).
2*(b + 1)**3
Suppose 3*k + 3*c + 0 = 12, k + 3*c = 0. Determine z, given that -3*z - 15 + 9 + k*z + 0*z + 3*z**2 = 0.
-2, 1
Let z(o) be the second derivative of -5*o**4/12 + 55*o**3/6 - 22*o + 5. Factor z(h).
-5*h*(h - 11)
Let n(j) be the first derivative of 2*j**5/45 - 2*j**4/9 + 4*j**3/27 + 4*j**2/9 - 2*j/3 + 126. Factor n(o).
2*(o - 3)*(o - 1)**2*(o + 1)/9
Let x(j) = -9*j**3 - 31*j**2 - 75*j - 53. Let n(v) = v**3 - v**2 - v + 1. Let k(g) = 5*n(g) + x(g). Solve k(p) = 0.
-6, -2, -1
Let b(g) be the first derivative of g**4/4 - 4*g**3/3 + 5*g**2/2 - 2*g + 90. Factor b(o).
(o - 2)*(o - 1)**2
Let t(q) be the first derivative of q**5/8 - 11*q**4/16 + 7*q**3/6 - q**2/2 + 383. Let t(m) = 0. Calculate m.
0, 2/5, 2
Let j(s) be the first derivative of -2/5*s**3 - 2/5*s**5 + 7/10*s**4 - 3 + 0*s + 0*s**2 + 1/15*s**6. Determine z, given that j(z) = 0.
0, 1, 3
Suppose 0 = 4*v - 0*v - 164. Let j = v + -25. Solve 8*w - 10 - j*w**2 + 14*w**2 + 2 = 0 for w.
2
Suppose 3*t - 9 = 4*t - 5*s, 5*s = 10. Let v(f) = 5*f - 2. Let g be v(t). Factor 8/3*p**2 - p**g - p - 2/3.
-(p - 2)*(p - 1)*(3*p + 1)/3
Suppose 0 = -44*t - 463 + 551. Factor 15*c**3 + 189/2*c**t + 3/4*c**4 + 147*c - 1029/4.
3*(c - 1)*(c + 7)**3/4
Let b(a) be the first derivative of a**6/660 + a**5/110 + a**4/44 + a**3/33 - 3*a**2/2 - 8. Let t(d) be the second derivative of b(d). Factor t(p).
2*(p + 1)**3/11
Suppose f + 4*f - 1675 = 0. Let -2 - 14*b**4 - 4*b + 17*b**2 + 8*b**5 - f*b**3 - b**2 + 331*b**3 = 0. What is b?
-1, -1/4, 1
Let q(d) be the first derivative of 2 - 5*d + 0*d**2 - 1/102*d**4 + 2/51*d**3. Let a(j) be the first derivative of q(j). Find v such that a(v) = 0.
0, 2
Let i(k) be the second derivative of -k**6/45 + 7*k**5/60 + 5*k**4/12 + k**3/18 - 5*k**2/6 - 2*k - 74. Let i(h) = 0. What is h?
-1, 1/2, 5
Let x = 17 + -15. Let u(d) = d**2 - 2*d + 2. Let o be u(-4). What is z in z**x + o - 26 = 0?
0
Let f(r) = 5*r - 2. Let u be f(1). Determine z so that -55*z**3 + 30*z**4 + 42*z**5 + u*z**5 + 21*z - z - 20*z**2 = 0.
-1, 0, 2/3
Let l(h) be the second derivative of h**7/336 - h**6/40 + h**5/32 - h + 56. Factor l(c).
c**3*(c - 5)*(c - 1)/8
Suppose -4*j - 13 = 3*z + j, 10 = 5*z + 2*j. Find g such that 50*g**4 - 96*g**z - 2*g**3 + 45*g**4 - g**2 = 0.
-1, 0
Suppose -5*c - 2*w = -20, -c - 1 = 2*w - 5. Suppose c*v = 4 + 4. Suppose 2*z + 3*z**4 + v*z**4 - 6*z**3 - z**4 = 0. What is z?
-1/2, 0, 1
Let r(b) be the first derivative of -b**7/210 + 2*b**6/45 - b**5/6 + b**4/3 - 14*b**3/3 - 4. Let z(f) be the third derivative of r(f). Factor z(n).
-4*(n - 2)*(n - 1)**2
Let z(d) be the third derivative of -7/192*d**4 + 6*d**2 + 1/160*d**6 + 0 + 0*d - 1/240*d**5 - 1/16*d**3 + 1/2688*d**8 + 1/336*d**7. Factor z(c).
(c - 1)*(c + 1)**3*(c + 3)/8
Let r(n) = n**3 + 94*n**2 - 191*n + 96. Let f be r(-96). Determine o so that 2/5*o**3 + f*o - 2/5*o**4 + 4/5*o**2 + 0 = 0.
-1, 0, 2
Let p(h) be the third derivative of -h**6/1980 - h**5/660 + h**4/66 - h**3/2 - 9*h**2. Let j(b) be the first derivative of p(b). Factor j(l).
-2*(l - 1)*(l + 2)/11
Let o(b) be the first derivative of -12/5*b + 2/25*b**5 + b**2 - 1/2*b**4 + 2/3*b**3 - 11. Determine l so that o(l) = 0.
-1, 1, 2, 3
Suppose 5*c + 12 = -4*u, -5*c + 6*c = -5*u + 6. Let q(s) be the first derivative of -3/7*s**u - 4/7*s - 3 - 2/21*s**3. Determine d, given that q(d) = 0.
-2, -1
Suppose 37*j - 41*j = 0. Suppose 34*o - 27*o = j. Factor 3/2*w**5 + 3/2*w + o*w**4 + 0*w**2 + 0 - 3*w**3.
3*w*(w - 1)**2*(w + 1)**2/2
Factor 6/11 - 1056*v**3 + 1008*v**2 + 522/11*v.
-6*(v - 1)*(44*v + 1)**2/11
Let a(x) be the first derivative of -1/6*x**3 + x - 1/10*x**5 + 1/24*x**6 + 7/8*x**2 - 26 - 1/2*x**4. Factor a(n).
(n - 4)*(n - 1)*(n + 1)**3/4
Let x = -1940 + 1943. Factor 0 + 6/7*h + 9/7*h**2 + 3/7*h**x.
3*h*(h + 1)*(h + 2)/7
Let d = 4896 + -4894. Solve 2*h**3 + 1/2*h + 0 - 5/2*h**d = 0 for h.
0, 1/4, 1
Factor 108/7*h**2 - 2/7*h**5 + 0 + 20/7*h**4 - 54/7*h - 72/7*h**3.
-2*h*(h - 3)**3*(h - 1)/7
Solve -58/3*c - 2/3*c**3 + 32/3*c**2 + 28/3 = 0.
1, 14
Let x(a) be the first derivative of -4*a**3/15 - 16*a**2/5 - 12*a + 92. Factor x(o).
-4*(o + 3)*(o + 5)/5
Let g(a) be the second derivative of -a**9/15120 + a**8/1344 - a**7/315 + a**6/180 + a**4/4 + 14*a. Let s(b) be the third derivative of g(b). Factor s(x).
-x*(x - 2)**2*(x - 1)
Let p(h) = -5*h - 2. Let x be p(-1). Let v(c) = 4*c + 4