5*a**5 + 6 - b*a**3 + 0*a. Suppose q(x) = 0. Calculate x.
0, 2
Let d be 19/2 - 14/(672/72). Factor -2 + d*y + 9/2*y**2.
(y + 2)*(9*y - 2)/2
Let f(b) be the first derivative of 3/10*b**5 - 7/8*b**4 - 6 + b**2 + 0*b + 0*b**3. Factor f(n).
n*(n - 2)*(n - 1)*(3*n + 2)/2
Factor 29/2*m + 3/2*m**3 - 47/2*m**2 + 15/2.
(m - 15)*(m - 1)*(3*m + 1)/2
Let i be (6/9)/((-5)/(-45)). Suppose i*m = -3*m + 18. Let -m*v - 2/5*v**2 - 6/5 + 2/5*v**3 = 0. What is v?
-1, 3
Factor -8*z - 471 + z**2 + 461 + z**2.
2*(z - 5)*(z + 1)
Find r such that 192/5*r**3 - 9*r + 528/5*r**2 - 135 = 0.
-15/8, 1
Let u = -9050 + 841690/93. Let k = u + -3/31. Determine q, given that -k*q**3 + 0 - 2/3*q**2 + 0*q = 0.
-2, 0
Let r(j) = j**2 - j - 1. Let d(s) = -133*s - 4357. Let q(c) = -d(c) + r(c). Let q(t) = 0. Calculate t.
-66
Factor -16/3*x + x**2 + 7/6*x**3 - 16/3 + 1/6*x**4.
(x - 2)*(x + 1)*(x + 4)**2/6
Let o(y) be the first derivative of -4*y**5/25 + 2*y**4/5 + 16*y**3/3 + 48*y**2/5 + 75. Solve o(t) = 0.
-2, 0, 6
Let r(d) be the second derivative of -d**4/32 - d**3/6 + 2*d - 129. Suppose r(f) = 0. Calculate f.
-8/3, 0
Determine m so that -127*m + 9*m**2 - 58*m - 4*m**2 + 1805 - 5*m = 0.
19
Let x be ((-12)/18)/(6/(-27)). Suppose 2*w - 15 = -x*w. Factor -3*j**2 + j**2 - 1 - w - 6*j.
-2*(j + 1)*(j + 2)
Suppose 11*y - 5*y - 5*y - 2 = 0. Let r(f) = f. Let m be r(0). Let -2/3*d**3 + m + 0*d + 0*d**y = 0. What is d?
0
Let b(v) be the first derivative of 49*v**6/6 + 2233*v**5/5 + 855*v**4 + 1412*v**3/3 + 88*v**2 + 574. What is q in b(q) = 0?
-44, -1, -2/7, 0
Let d(z) = z**3 - 7*z**2 - 6*z - 13. Let m be d(8). Let -3*h + 415*h**3 + 12*h**2 - h**4 + 13*h**4 - 433*h**3 - m*h**5 = 0. Calculate h.
0, 1
Let w be 4/1 + -3 + 0 + -1. Let t be (-2 - 0 - (2 + w))/(-2). Factor -2/3*m - 2/3 + 4/3*m**3 - 2/3*m**5 - 2/3*m**4 + 4/3*m**t.
-2*(m - 1)**2*(m + 1)**3/3
Let j(s) be the third derivative of -s**8/504 + 2*s**7/45 - 73*s**6/180 + 86*s**5/45 - 44*s**4/9 + 64*s**3/9 - 237*s**2. Determine o so that j(o) = 0.
1, 4
Let d(c) = -25*c**2 - 845*c - 42443. Let t(w) = 14*w**2 + 424*w + 21222. Let x(g) = 4*d(g) + 7*t(g). Factor x(h).
-2*(h + 103)**2
Let u = -31 - -31. Suppose -l - 2 = 4*r, -3*l + 3*r + 2 + 7 = 0. Factor u*m + 1/3*m**3 + 0 - 1/3*m**l.
m**2*(m - 1)/3
Let n(o) = -11*o**3 - 2*o**2 + 15*o - 8. Let x(b) = -47*b**3 - 9*b**2 + 60*b - 31. Let d(r) = -9*n(r) + 2*x(r). Solve d(f) = 0 for f.
-2, 1
Suppose 20 = 4*c - 2*j, -62*c - j - 4 = -61*c. What is m in -45/8*m - 75/8 + 27/8*m**c - 3/8*m**3 = 0?
-1, 5
Suppose 3*x - 6*x + 505 = -5*c, -x = 0. Let m = 101 + c. Suppose -2/3*d**2 + m*d + 2/3 = 0. Calculate d.
-1, 1
Let u(p) = 37*p**2 + 420*p + 394. Let j(o) = -7*o**2 - 84*o - 79. Let r(x) = -11*j(x) - 2*u(x). What is v in r(v) = 0?
-27, -1
Let t(l) be the third derivative of -7*l**6/20 + 128*l**5/45 - l**4/3 - 16*l**3/9 + 38*l**2 + 2*l. Let t(v) = 0. Calculate v.
-2/9, 2/7, 4
Suppose -82*n - 3708*n**4 + 2*n**5 + 94*n**3 + 28*n**2 - 14*n + 3680*n**4 = 0. What is n?
-1, 0, 1, 6, 8
Suppose 85*c - 48 = 81*c. Let h(k) = -k**3 + k**2 + k. Let w(j) = -15*j**3 - 6*j**2 - 15*j - 12. Let f(d) = c*h(d) - w(d). Factor f(g).
3*(g + 1)**2*(g + 4)
Let r = 213 + -213. Let m(t) be the second derivative of 2/3*t**4 + r - 1/10*t**5 + 2*t**2 - 11*t - 5/3*t**3. Suppose m(i) = 0. What is i?
1, 2
Let h(z) be the first derivative of -3*z**5/5 - 3*z**4/2 + 3*z**2 + 3*z + 131. Factor h(b).
-3*(b - 1)*(b + 1)**3
Let b(p) = -10*p**3 + 28*p**2 - 11*p. Let k(v) = -v**2 + 6*v - 7. Let i be k(6). Let z(r) = 7*r**3 - 19*r**2 + 7*r. Let c(n) = i*z(n) - 5*b(n). Factor c(d).
d*(d - 6)*(d - 1)
Let h(u) be the first derivative of 4*u**3/3 - 8*u**2/3 + 13. Find w such that h(w) = 0.
0, 4/3
Suppose 7*o = 10*o - 6. Let a(f) be the first derivative of 4*f**3 + 3*f**2 + o + f**3 - 6*f**3 - 3*f. Factor a(u).
-3*(u - 1)**2
Let r(g) = 5*g**2 + 4*g - 11. Let v(m) = m - 1. Let b(d) = -r(d) + 5*v(d). Let x(f) = 2*f**2 - f - 3. Let a(n) = -3*b(n) - 7*x(n). Factor a(o).
(o + 1)*(o + 3)
Let p(y) be the first derivative of 3*y**4/4 + 44*y**3 + 246*y**2 + 480*y + 269. Let p(d) = 0. What is d?
-40, -2
Find t such that 15*t**2 - t - 6*t - 13*t**2 - t = 0.
0, 4
Let o be (-17 - -6)*(-2 + -1). Factor 21*i**2 + o*i - 28*i + 15*i**3 - 6*i**2 + 5*i**4.
5*i*(i + 1)**3
Suppose 2*o = 2*i - 52, 4*i - o - 135 + 19 = 0. Let v = i - 25. Solve -4*j**5 + 8*j**3 + 2*j**2 - 4 - 10*j + v*j**4 - 3*j**4 + 6*j**3 = 0.
-1, -1/2, 1, 2
Factor 2 + 12/7*b - 2/7*b**2.
-2*(b - 7)*(b + 1)/7
Let w = 1573/5481 + -1/783. Factor -w*u**3 + 4/7*u + 0 + 2/7*u**2.
-2*u*(u - 2)*(u + 1)/7
Let n(u) be the third derivative of u**5/30 + 81*u**4/28 - 10*u**3/3 - 96*u**2. Factor n(g).
2*(g + 35)*(7*g - 2)/7
Suppose -2*s + 5 = -2*y - 1, 25 = -5*y - 5*s. Let k(o) = -5*o**2 + 70*o - 241. Let p(c) = -1. Let n(d) = y*p(d) - k(d). Factor n(l).
5*(l - 7)**2
Let m(l) be the third derivative of l**5/210 - 25*l**4/84 + 6*l**3 - 36*l**2 - 5. Suppose m(r) = 0. What is r?
7, 18
Let x(m) be the third derivative of -m**7/945 - m**6/54 - 4*m**5/45 + 8*m**4/27 + 128*m**3/27 - 16*m**2 + 3. Factor x(i).
-2*(i - 2)*(i + 4)**3/9
Suppose -12*r + 14*r = 6. Let p be 4 + (3/(9/3) - r). Factor -2/9*b**p + 0*b + 0 - 2/9*b**3.
-2*b**2*(b + 1)/9
Let a(u) = -u**2 - 15*u - 2. Let c be a(-17). Let l = c + 38. Solve 32/9*r**l - 22/9*r + 4/9 - 14/9*r**3 = 0.
2/7, 1
Let z(b) be the first derivative of 4*b**3/21 - 2*b**2/7 - 8*b/7 - 72. Factor z(x).
4*(x - 2)*(x + 1)/7
Suppose -12 = 2*y - 6*y. Let g be (-72)/(-168) - (-58)/28. Factor -2*v**2 - g*v - 1/2*v**y - 1.
-(v + 1)**2*(v + 2)/2
Let k(a) be the second derivative of a**6/10 - 3*a**5/4 + a**4/4 + 21*a**3/2 - 27*a**2 + 3*a + 29. Solve k(t) = 0.
-2, 1, 3
Let -76*r**2 - 623*r + 687*r - 7*r**3 + 80 + 28*r**4 - 21*r**3 - 4*r**5 = 0. Calculate r.
-1, 2, 5
Let i(r) be the third derivative of -r**5/60 + 7*r**4/24 - r**3/3 + 15*r**2. Let d be i(4). Factor 2*f**2 + 18*f + d*f**3 + f**2 - 7*f**3 - 6*f**3.
-3*f*(f - 3)*(f + 2)
Let i be 0/1 - 2/(-1). Let f = 383/573 + -1/573. Factor -f*o**i + 0*o + 8/3.
-2*(o - 2)*(o + 2)/3
Let y be (-6 - -7)*-1*4. Let h(o) = 2*o**4 + 10*o**3 - 8*o. Suppose 25*q = 24*q + 5. Let l(g) = 2*g**4 + 11*g**3 - 8*g. Let p(n) = q*h(n) + y*l(n). Factor p(k).
2*k*(k - 1)*(k + 2)**2
Let h(a) = a**2 + 15*a + 37. Let p be h(-15). Solve 14 + 180*u + 150*u**2 + 51*u**3 - 16*u**3 - 11 + p = 0.
-2, -2/7
Let r(p) be the third derivative of -11*p**2 - 16/3*p**3 + 0*p**6 + 0 + 0*p + 0*p**4 + 4/15*p**5 - 1/105*p**7. Let r(s) = 0. What is s?
-2, 2
Let i(a) = -2*a - 8. Let u be i(-5). Let g be 4/u - (5 - 3). Solve 3*q + q - 4*q**2 - 4*q**3 + 2*q**4 + g*q**3 + 2*q**2 = 0 for q.
-1, 0, 1, 2
Let l(p) = -2*p**3 - 3*p**2 + 7*p - 12. Let j(c) = -c**3 - c + 1. Let y(o) = j(o) - l(o). Let n be y(-5). Factor -v + 3*v**n + 0 + 1/2*v**2.
v*(2*v - 1)*(3*v + 2)/2
Suppose -9*v**2 + 21/2*v**3 - 105/2*v**5 + 51*v**4 + 0 + 0*v = 0. What is v?
-3/7, 0, 2/5, 1
Suppose -4*v - 17*r + 13*r + 20 = 0, r = 3*v - 11. Factor 6*h**3 - 27/4 - 3/4*h**v - 33/2*h**2 + 18*h.
-3*(h - 3)**2*(h - 1)**2/4
Let y = -5114 - -25583/5. What is i in -4/5*i + 16/5*i**2 + 3/5*i**4 - y*i**3 + 0 = 0?
0, 1/3, 2
Suppose 0 = 3*h + 4*j + 2, 0*h + 14 = h + 5*j. Let l be h/(-10) + 285/525. Let 32/7*i**4 + l*i**3 - 4*i**2 + 2*i**5 - 4/7 - 22/7*i = 0. What is i?
-1, -2/7, 1
Let x be (3 + -2)*700/150*(-24)/(-14). Let -8*a - 3/2*a**4 + x*a**2 - 8 + 2*a**3 = 0. What is a?
-2, -2/3, 2
Let q = -54 + 56. Let d be 27/(-45)*(q - (-14)/(-6)). Solve 1/5*z + d*z**3 + 2/5*z**2 + 0 = 0 for z.
-1, 0
Suppose 9*l + 2090 = 20*l. Let o be 20/(-42)*(-228)/l. Find z, given that 0 + 2/7*z - o*z**2 + 2/7*z**3 = 0.
0, 1
Let t(v) be the second derivative of 0 - 3/5*v**5 + 2/3*v**4 + 0*v**2 - 5*v + 2/15*v**6 + 0*v**3. Factor t(g).
4*g**2*(g - 2)*(g - 1)
Let z(d) be the first derivative of d**6/45 - d**5/15 - 11*d**4/18 + 4*d**3/3 + 12*d**2 + 18*d - 54. Let y(k) be the first derivative of z(k). Factor y(v).
2*(v - 3)**2*(v + 2)**2/3
Let o(s) be the second derivative of -s**9/60480 + s**8/8960 - s**7/3360 + s**6/2880 - 25*s**4/12 + 22*s. Let u(v) be the third derivative of o(v). Factor u(n).
-n*(n - 1)**3/4
Let b(f) be the second derivative of -11*f - 3/4*f**4 + 1/14*f**7 + 3/10*f**6 - f**3 + 3/20*f**5 + 0 + 0*f**2. Factor b(h).
3*h*(h - 1)*(h + 1)**2*(h + 2)
Let x(