e b(r) = 0.
-51, -1, 0
Factor -4489/5 - 1/5*x**2 + 134/5*x.
-(x - 67)**2/5
Let w be 1 - -1 - (-54)/120. Let v = w + -11/5. Find t, given that 0*t - t**2 + t**3 - v*t**4 + 0 = 0.
0, 2
Let y be -4 + 0 - (8 - 8). Let x be 2 + 2 + y/(-14). Suppose -2/7 + x*d**4 - 8/7*d**5 + 0*d + 20/7*d**2 - 40/7*d**3 = 0. Calculate d.
-1/4, 1
Factor -271 + 15*d**2 + 5*d**3 - 50*d + 30*d**2 + 271.
5*d*(d - 1)*(d + 10)
Let k(z) = z**2 - 19*z + 4. Let y be k(0). Let d(v) be the second derivative of 0*v**2 - v + 0*v**3 + 0 - 1/45*v**6 + 0*v**5 + 1/18*v**y. Factor d(g).
-2*g**2*(g - 1)*(g + 1)/3
Let z = 4079 + -4079. Determine w, given that z - 4/3*w**2 - 16/3*w = 0.
-4, 0
Let c be (-886)/45*((-5)/2 - -2). Let a = c - 67/9. Suppose 3/5*m**3 + 12/5*m**4 - 6*m**2 + 3/5*m**5 + 24/5 - a*m = 0. What is m?
-2, 1
Let p(g) = 22*g + 550. Let q be p(-25). Let i(j) be the first derivative of 0*j - 5/4*j**4 + 6 + q*j**2 - 1/3*j**3 - 4/5*j**5. Factor i(m).
-m**2*(m + 1)*(4*m + 1)
Suppose 0 = 4*k + 3 + 9. Let a(y) = y + 1. Let t(v) = -v**2 - 11*v - 46. Let n(w) = k*a(w) + t(w). Factor n(l).
-(l + 7)**2
Let j(s) be the first derivative of 0*s - 1/6*s**4 + 1/15*s**5 - 1/9*s**3 + 1/36*s**6 + 25 + 1/4*s**2. Determine i, given that j(i) = 0.
-3, -1, 0, 1
Let m(n) be the third derivative of -1/20*n**5 - 98*n**3 - 36*n**2 + 0*n - 7/2*n**4 + 0. Solve m(f) = 0.
-14
Let z(k) be the second derivative of k**7/189 + 7*k**6/135 - k**5/5 + k**4/27 + 17*k**3/27 - k**2 + 325*k. Factor z(i).
2*(i - 1)**3*(i + 1)*(i + 9)/9
Suppose -3*k + 3*q + 24 = 0, -2*k - 4*q = 3*k - 13. Factor -48*d - 89*d + 320 + 60*d**2 - 51*d - 52*d - k*d**3.
-5*(d - 4)**3
Let j = -1895 + 13267/7. Suppose 0*m**3 + 0 + 0*m**2 + j*m**4 + 0*m + 2/7*m**5 = 0. What is m?
-1, 0
Factor 7*t - 12*t**2 + 9566*t**3 - 9567*t**3 + 6*t**2.
-t*(t - 1)*(t + 7)
Let l be (-10)/(-135) - (-2646)/3645. Factor 0 - l*v**2 - 1/5*v**3 + 0*v.
-v**2*(v + 4)/5
Suppose 0 = 6*w + 480 - 480. Let m be ((-4)/20)/(2/(-15)). Let -3/2*c**4 + w + m*c**2 - 3/2*c + 3/2*c**3 = 0. What is c?
-1, 0, 1
Let k(g) be the second derivative of 2*g**7/147 - 4*g**6/35 + 11*g**5/35 - 2*g**4/21 - 8*g**3/7 + 16*g**2/7 + 187*g. Let k(p) = 0. Calculate p.
-1, 1, 2
Let w(q) = -3*q**4 - 55*q**3 + 184*q**2 - 240*q + 100. Let v(m) = 2*m**4 + 54*m**3 - 184*m**2 + 240*m - 100. Let f(b) = 7*v(b) + 6*w(b). Factor f(l).
-4*(l - 5)**2*(l - 1)**2
Let o(r) = 2*r**2 - 3*r. Let i be o(2). Let k = 135 - 401/3. Suppose -8/3*c**i + k + 14/3*c = 0. What is c?
-1/4, 2
Let c(f) be the second derivative of 35/6*f**3 + 20*f + 5*f**2 + 5/4*f**4 + 0. Suppose c(t) = 0. What is t?
-2, -1/3
Suppose r = -3*w - 9, 2*w - 7 + 13 = -3*r. Let f(u) be the first derivative of 5 + 1/4*u**4 - 1/5*u**3 - 1/5*u**2 + r*u. Factor f(h).
h*(h - 1)*(5*h + 2)/5
Factor 0 + 2/9*a**2 + 44/9*a.
2*a*(a + 22)/9
Let a = 1312 + -14424/11. Find u, given that -2/11*u**2 - a - 8/11*u = 0.
-2
Let q(h) = 7*h**3 + 47*h**2 + 77*h - 125. Let z(f) = 36*f**3 + 236*f**2 + 386*f - 625. Let d(o) = -11*q(o) + 2*z(o). Factor d(w).
-5*(w - 1)*(w + 5)**2
Find i such that 0 - 2/3*i**4 - 40/3*i - 6*i**3 - 16*i**2 = 0.
-5, -2, 0
Let h(b) be the first derivative of -8*b + 1/4*b**4 - 2*b**3 + 6*b**2 + 2. What is y in h(y) = 0?
2
Let g(c) be the second derivative of -c**4/3 + 88*c**3/3 - 968*c**2 - 67*c. Factor g(p).
-4*(p - 22)**2
Let t(k) be the second derivative of -k**6/60 + k**5/20 + k**4/24 - k**3/6 - 750*k. What is m in t(m) = 0?
-1, 0, 1, 2
Let c(k) = 2*k**3 + 24*k**2 + 20*k + 20. Let p(a) = a**2 + a + 1. Let n = -91 - -177. Let z = -130 + n. Let h(o) = z*p(o) + 2*c(o). Factor h(x).
4*(x - 1)*(x + 1)**2
Let z be (-4)/6*(-2 - 1). Let b = 35/38 - 23/190. Suppose z*v - b - 6/5*v**2 = 0. Calculate v.
2/3, 1
Let c(y) = 4*y**2 - 36*y - 168. Let v(t) = -t**2 + 1. Let u(m) = c(m) + 6*v(m). Factor u(j).
-2*(j + 9)**2
Let y(s) be the first derivative of 4/5*s + 30 - 4/15*s**3 + 3/5*s**2. Determine l, given that y(l) = 0.
-1/2, 2
Let f(q) = -2*q**3 + 3*q**4 - 43 - 10*q**3 + 22 + 16*q**2 - 6*q + 20. Let a(z) = -z**2 + 1. Let w(u) = a(u) + f(u). Factor w(r).
3*r*(r - 2)*(r - 1)**2
Let j(p) = 6*p**3 - 43*p**2 - 22*p + 19. Let o(t) = -24*t**3 + 174*t**2 + 87*t - 75. Let k(n) = -9*j(n) - 2*o(n). Factor k(m).
-3*(m - 7)*(m + 1)*(2*m - 1)
Let k(j) be the second derivative of 2*j**6/75 - j**5/50 - j**4/10 + j**3/15 + j**2/5 - 94*j. Determine f so that k(f) = 0.
-1, -1/2, 1
Let w(b) be the second derivative of -b**5/4 + 5*b**4/3 + 5*b**3/2 - 45*b**2 - 4*b + 4. Find z, given that w(z) = 0.
-2, 3
Let v = -18287/410 + 21/205. Let f = -44 - v. Factor o**3 - 1/2*o + 0*o**4 + 0 + 0*o**2 - f*o**5.
-o*(o - 1)**2*(o + 1)**2/2
Let n(d) be the second derivative of 21/5*d**5 + 0*d**4 - 17/10*d**6 + 24*d**2 + 3/14*d**7 - 3*d - 16*d**3 + 0. Suppose n(b) = 0. What is b?
-1, 2/3, 2
Let f(s) = -3*s**3 + 21*s**2 + 39*s + 5. Let v(k) = -8*k**3 + 52*k**2 + 96*k + 12. Let u(l) = 12*f(l) - 5*v(l). Let u(h) = 0. What is h?
-1, 0, 3
Let y(u) be the first derivative of u**4/4 + 3*u**3 + u**2/2 + 11*u + 1. Let s be y(-9). Factor -4*j**3 - 2*j**2 - 2*j**2 + 5*j**s + 4*j**4 - j**4.
j**2*(j - 1)*(3*j - 1)
Let r = -7 - -9. Let g be (0 + 2)/(r/6). Factor 2*i**2 + 3*i**3 + 3*i**4 + 0*i**4 + g - 4*i**2 - 7*i**2 - 3*i.
3*(i - 1)**2*(i + 1)*(i + 2)
Suppose 7*p = 3*p + 8. Let o(w) = 6*w**2 + 2*w - 18. Let j(v) = v**2 + v - 1. Let l(u) = p*j(u) - o(u). Factor l(g).
-4*(g - 2)*(g + 2)
Factor -5*o**2 - 25*o - 1942 + 1942.
-5*o*(o + 5)
Let h(u) be the third derivative of u**7/420 + 7*u**6/48 + 323*u**5/120 + 289*u**4/48 - 215*u**2. Factor h(i).
i*(i + 1)*(i + 17)**2/2
Suppose -22*c = -21*c - 3. Suppose -5*b**4 - 6*b**5 + 6*b**2 - 3*b + 5*b**4 + 3*b**5 + 6*b**3 - 3 - c*b**4 = 0. Calculate b.
-1, 1
Let n(c) be the third derivative of -c**7/735 + c**6/420 + c**5/35 - c**4/21 - 8*c**3/21 + 55*c**2. Let n(s) = 0. What is s?
-2, -1, 2
Suppose 13*h - 44 = 2*h. Let r(x) be the first derivative of -3 - 15/8*x**2 + 9/4*x + 3/16*x**h + 1/4*x**3. Factor r(a).
3*(a - 1)**2*(a + 3)/4
Let c(f) = f**5 + f**4 - f**2 + f + 1. Let d(w) = -7*w**2 + 6 + 6*w**4 + 6*w**3 - w**2 - w**2. Let b(g) = 3*c(g) - d(g). Suppose b(u) = 0. Calculate u.
-1, 1
Let f(b) be the third derivative of -9*b**7/140 - 3*b**6/80 + 19*b**5/20 - 8*b**3 + 20*b**2 + 1. Let f(y) = 0. Calculate y.
-2, -1, 4/3
Let s(k) be the first derivative of -2*k**3/21 + 5*k**2/7 + 26. Factor s(w).
-2*w*(w - 5)/7
Let o(i) be the first derivative of 15 + 1/5*i**5 + 1/4*i**4 + 0*i + 0*i**2 + 0*i**3. Let o(h) = 0. What is h?
-1, 0
Suppose 9 = -u + 14. Suppose u*d = 24 - 9. Factor 3/7*y**2 - 3/7 - 6/7*y + 6/7*y**d.
3*(y - 1)*(y + 1)*(2*y + 1)/7
Let z(h) be the third derivative of 0*h - 1/6*h**3 + 0 - 7/72*h**4 - 1/36*h**5 - 3*h**2 - 1/360*h**6. Find d, given that z(d) = 0.
-3, -1
Let o(z) be the third derivative of -11*z**5/15 - 65*z**4/6 + 4*z**3 + 157*z**2. What is f in o(f) = 0?
-6, 1/11
Let p(v) be the second derivative of -v**7/56 + v**6/20 + 9*v**5/80 - 311*v. Find r, given that p(r) = 0.
-1, 0, 3
Factor 12*p**4 - 3*p**4 + 1452*p**2 - p**4 - 132*p**3 - 5*p**4.
3*p**2*(p - 22)**2
Let o = 1751/3422 - 20/1711. Find q such that -5/8*q**2 + 1/8*q**4 + 0*q + o + 0*q**3 = 0.
-2, -1, 1, 2
Let c(q) = q + 10. Suppose 0 = -17*j + 9*j - 64. Let d be c(j). Suppose -17/6*u - 1/3 - 53/6*u**3 - 10/3*u**4 - 8*u**d = 0. Calculate u.
-1, -2/5, -1/4
Suppose -5*u + 2*y = -6, 2*y = 7*y + 15. Factor -1/5*t**3 + 2/5*t**2 + 3/5*t + u.
-t*(t - 3)*(t + 1)/5
Let t be (60/(-70))/((-3)/336). Let a = t + -94. Find r such that 6/5*r**a + 0 + 2/3*r**4 - 4/15*r - 8/5*r**3 = 0.
0, 2/5, 1
Let g(x) be the first derivative of x**5 - 5*x**3/3 - 124. Suppose g(v) = 0. What is v?
-1, 0, 1
Let o = 16266/5 + -3252. Factor -6/5*l**3 - 2/5*l**5 - 2/5*l**2 - o*l**4 + 0 + 0*l.
-2*l**2*(l + 1)**3/5
Let v(m) = m**2 + 5*m - 1. Let a(y) = -4*y**2 + 287*y - 22798. Let q(j) = -a(j) - 3*v(j). Factor q(x).
(x - 151)**2
Let x(g) = 2*g**2 - 3*g - 1. Let o(n) = 13*n**2 + 164*n + 8275. Let i(k) = o(k) - 6*x(k). Suppose i(r) = 0. What is r?
-91
Let m(d) be the second derivative of d**7/504 + d**6/36 + d**5/8 + d**4/4 - 10*d. Let w(u) be the third derivative of m(u). Factor w(x).
5*(x + 1)*(x + 3)
What is v in -1050/19*v**2 - 10/19*v**4 - 172/19 + 454/19*v**3 + 778/19*v = 0?
2/5, 1, 43
Let c = 506 + -501. Let v(z) be the fi