)**2*(b + 2)*(5*b + 2)/2
Let i(n) be the third derivative of -n**6/144 + 5*n**5/18 - 5*n**4/4 - 191*n**2. Let i(c) = 0. What is c?
0, 2, 18
Find k, given that -4/3*k**2 + 1/2*k**4 - k**3 + 1/6*k**5 + 0*k + 0 = 0.
-4, -1, 0, 2
Let w = 8048 - 8045. Factor -2/3*a**4 - 2/3*a**2 + 0*a - 4/3*a**w + 0.
-2*a**2*(a + 1)**2/3
Let c(b) be the second derivative of -b**6/105 - 19*b**5/70 + b**4/42 + 19*b**3/21 + 209*b. What is g in c(g) = 0?
-19, -1, 0, 1
Let n(y) be the first derivative of -y**3/5 - 3*y**2/5 + 24*y/5 + 93. Find v such that n(v) = 0.
-4, 2
Let b(f) be the first derivative of 5 + 0*f**3 - 1/2*f**2 - 1/210*f**5 + 1/42*f**4 + 0*f. Let t(c) be the second derivative of b(c). What is i in t(i) = 0?
0, 2
Let r(g) be the first derivative of -g**6/10 - 18*g**5/25 - 9*g**4/5 - 8*g**3/5 - 29. Find t, given that r(t) = 0.
-2, 0
Let k be (1722/940 + -2)*(2 + 0). Let i = 3/47 - k. Factor -32/5 + 0*a**2 - 8/5*a**3 + i*a**4 + 32/5*a.
2*(a - 2)**3*(a + 2)/5
Factor -64*c + 0 - 7*c**2 - 4*c**3 + 11*c**2 + 48 + 17*c**2 + 7*c**2.
-4*(c - 3)*(c - 2)**2
Suppose -34 = 26716*w - 26733*w. Factor -1/5*p**w + 11/5 - 2*p.
-(p - 1)*(p + 11)/5
Let g = 9 + -9. Suppose g*i = -3*i + 4*d, -3*i - 3*d = 0. Solve 3/5*h**2 + 0 + 3/5*h**3 + i*h = 0 for h.
-1, 0
Let p(j) = 9*j**2 + 759*j + 47622. Let s(a) = 16*a**2 + 1517*a + 95246. Let l(i) = -5*p(i) + 3*s(i). Solve l(c) = 0.
-126
Let j be (-2)/(2/7) - -3. Let o be 1/(-18)*j - (-26)/(-117). Find z, given that 18/5*z**4 + 0*z**2 + 0*z + 3/5*z**3 + o + 3*z**5 = 0.
-1, -1/5, 0
Let r(j) be the third derivative of -j**6/60 - 11*j**5/5 - 21*j**4 - 248*j**3/3 - 87*j**2 - j. Factor r(t).
-2*(t + 2)**2*(t + 62)
Let z(k) = -28*k**2 - 980*k. Let c be z(-35). Let -5/3*n**2 + c - 10/3*n = 0. What is n?
-2, 0
Factor 23/2 + 21/4*t - 1/4*t**2.
-(t - 23)*(t + 2)/4
Let x be 4 - (-1 + -4 + 6 - (-26)/10). Find t such that 2/5*t - x*t**4 - 6/5*t**2 + 0 + 6/5*t**3 = 0.
0, 1
Factor 190 + 242 - 2427*l**3 + 60*l**2 + 288*l + 2431*l**3.
4*(l + 3)*(l + 6)**2
Solve 436 - 1093006*p - 6677 + p**3 + 1099405*p - 159*p**2 = 0 for p.
1, 79
Let i = 5841 - 64245/11. What is a in 2/11*a**4 + 6/11*a**2 + 2/11*a + i*a**3 + 0 = 0?
-1, 0
Let w(d) be the third derivative of d**10/15120 - d**9/2520 + d**8/1120 - d**7/1260 - d**4/2 - 11*d**2. Let c(k) be the second derivative of w(k). Factor c(b).
2*b**2*(b - 1)**3
Let b(d) = d**2 - d - 1. Let i(y) = -2*y**3 - 14*y**2 + 44*y + 58. Let w(k) = 2*b(k) - i(k). Determine q, given that w(q) = 0.
-10, -1, 3
Factor -870*h - 234*h + 6 + 19044*h**2 + 10.
4*(69*h - 2)**2
Let w(m) be the third derivative of 0 - 1/30*m**6 + 4*m**2 + 4/15*m**5 - 1/2*m**4 + 0*m**3 + 0*m. Factor w(f).
-4*f*(f - 3)*(f - 1)
Factor -6/5*w**2 + 2/5*w**3 + 0 + 4/5*w.
2*w*(w - 2)*(w - 1)/5
Let c(f) = 62*f + 6510. Let z be c(-105). Find h such that 2/3*h**4 + 4*h**2 + z*h - 14/3*h**3 + 0 = 0.
0, 1, 6
Let x(d) be the third derivative of 11*d**5/80 + 7*d**4/32 + 263*d**2. Let x(a) = 0. What is a?
-7/11, 0
Let y(o) = -4*o**2 - 72*o + 38. Let g(d) = -d. Let l(x) = -2*g(x) - y(x). Factor l(h).
2*(h + 19)*(2*h - 1)
Let b = -1084 - -45529/42. Let h(k) be the second derivative of b*k**4 + 0 + 7*k + 4/7*k**2 + 5/21*k**3. Find l such that h(l) = 0.
-4, -1
Let n be ((-844)/5275)/(2/(-30)). Let 8/5*g + 4/5*g**2 - n = 0. Calculate g.
-3, 1
Let a(g) be the third derivative of 21*g**2 - 1/315*g**7 - 1/60*g**6 + 0 + 1/90*g**5 + 1/504*g**8 + 1/18*g**4 + 0*g + 0*g**3. Find p such that a(p) = 0.
-1, 0, 1, 2
Suppose 64*o - 44*o = 100. Solve 4/5*p**3 - 18/5*p - 2/5*p**o + 8/5*p**4 - 24/5*p**2 + 0 = 0.
-1, 0, 3
Suppose -55 = 15*b - 4*b. Let a(w) = w**2 + 9*w - 10. Let k(f) = f**2 + 6*f - 7. Let s(m) = b*a(m) + 8*k(m). Solve s(y) = 0 for y.
-2, 1
Suppose -307*a - 25 = -312*a. Let s(z) be the third derivative of 0 + 1/4*z**4 + 12*z**2 - 2/3*z**3 - 1/30*z**a + 0*z. Solve s(k) = 0 for k.
1, 2
Let k(h) = -5*h. Let c be k(-2). Factor -5*n**5 + 7*n**3 - 3*n**3 + 18*n**3 - 7*n**3 + c*n**2.
-5*n**2*(n - 2)*(n + 1)**2
Let l = 1536 + -1536. Suppose -1/7*g**3 + l - 1/7*g + 2/7*g**2 = 0. Calculate g.
0, 1
Let b be 2/12*(-68)/(-340). Let h(o) be the second derivative of -b*o**6 + 1/10*o**5 + 1/2*o**2 + 0*o**4 + 0 - 3*o - 1/3*o**3. Solve h(x) = 0.
-1, 1
What is g in -476*g**5 - 112*g + 427*g**5 - 138*g**2 - 46*g**2 + 80*g**3 + 119*g**4 - 16 = 0?
-1, -2/7, 2
Let t = 80 - 77. Suppose 3*r + 2 = t*j - 7*j, -2 = j. Factor 0*b + 3 - 3/4*b**r.
-3*(b - 2)*(b + 2)/4
Let q(m) = -4*m**3 + 43*m**2 - 103*m - 3. Let w be 5*3*(-3)/(-15). Let s(d) = -8*d**3 + 87*d**2 - 207*d - 7. Let a(t) = w*s(t) - 7*q(t). Factor a(b).
4*b*(b - 5)**2
Let t(b) be the third derivative of -b**7/1680 + b**6/180 - b**3 + 14*b**2. Let a(j) be the first derivative of t(j). Factor a(s).
-s**2*(s - 4)/2
Let k(q) be the second derivative of 3*q**5/100 - 3*q**4/4 + 27*q**3/10 + 729*q**2/10 + 151*q. Suppose k(h) = 0. What is h?
-3, 9
Let r(h) be the third derivative of -h**8/30240 - h**7/3780 - 7*h**5/60 - 13*h**2. Let o(z) be the third derivative of r(z). Find w such that o(w) = 0.
-2, 0
Find j, given that -52*j**2 + 25*j**2 - 60*j + 10*j + 55 + 22*j**2 = 0.
-11, 1
Let g = -12 + 27. Suppose -n - g = -6*n. Factor 0*b**2 + 2*b**2 + 0*b**2 - b**3 + 0*b**3 - n*b**4.
-b**2*(b + 1)*(3*b - 2)
Suppose -18 - 54 = -5*r - 2*d, 3*d - 45 = -3*r. Let l be 4/r*98/21. Solve -2/3 - l*b - 2/3*b**2 = 0.
-1
Let n(s) be the first derivative of 8*s**2 - 16*s - 4*s**4 + 4/5*s**5 - 5 + 4*s**3. Factor n(x).
4*(x - 2)**2*(x - 1)*(x + 1)
Factor 0 - 1/2*m**3 - 6*m**2 - 18*m.
-m*(m + 6)**2/2
Let k be 135/(-20) - (-8 - 1). Let o(w) be the first derivative of 7/4*w**4 - 11/30*w**5 - 6 - k*w**2 + 27/2*w - 3*w**3 + 1/36*w**6. Let o(s) = 0. Calculate s.
-1, 3
Let g(s) be the third derivative of -5/24*s**4 + 0*s - 1/48*s**5 - 5/6*s**3 + 5*s**2 + 0. Solve g(c) = 0 for c.
-2
Find x such that 3/2*x**2 - 21/4*x + 3 + 3/4*x**3 = 0.
-4, 1
Let 8/3*a**3 + 99/2*a + 20*a**2 + 121/3 = 0. What is a?
-11/4, -2
Let v = 155 - 125. Let w be 4*(3 - v/12). Factor -25/3*c**4 + 0*c + 0*c**w + 0 + 5/3*c**3 + 20/3*c**5.
5*c**3*(c - 1)*(4*c - 1)/3
Suppose -3*m = 25*d - 27*d + 4, -6 = -3*m - 3*d. Suppose -2*c**3 + 0*c**2 - 2/7*c**4 + 0*c + m = 0. What is c?
-7, 0
Let s be 2*(3/2 + -2). Let y be 1 - 1/s*5. Find a, given that -6*a**2 + 2*a - 3*a**5 - 4 + a + y*a**4 + 4 = 0.
-1, 0, 1
Factor -2/17*m**2 + 0*m + 0 - 2/17*m**3.
-2*m**2*(m + 1)/17
Let w(n) be the third derivative of 1/16*n**6 - 1/20*n**5 - 8*n**2 + 0*n**4 - 3/224*n**8 + 0 + 0*n**3 + 1/35*n**7 + 0*n. What is r in w(r) = 0?
-1, 0, 1/3, 2
Let b(c) = 2*c**3 - 56*c**2 + 36*c - 9. Let p(n) = -2*n**2 - 1. Let v(w) = -2*b(w) + 18*p(w). Factor v(o).
-4*o*(o - 18)*(o - 1)
Let w(x) be the third derivative of 0*x**3 + 5/12*x**4 + 0*x + 1/12*x**5 - 25*x**2 + 0. Solve w(n) = 0.
-2, 0
Let f = 46127518 - 263341999246/5709. Let b = f + 2/519. Factor -2/11 - 4/11*v - b*v**2.
-2*(v + 1)**2/11
Let z(g) = -3*g - 2. Let v(y) = y**3 - 10*y**2 + 8*y + 6. Let r be v(9). Let s be z(r). Determine b, given that 3*b**4 - b**3 + 10*b**5 + b**3 - s*b**5 = 0.
-1, 0
Let n(r) = r**3 - 18*r**2 - 7*r - 27. Let l be n(18). Let i = l - -461/3. Let -i*v**2 + 2/3*v + 0 = 0. Calculate v.
0, 1
Let b be (60/14)/(57/266). Let k be b/(-3)*(-270)/252. Determine v, given that -k*v**3 + 40/7*v**5 + 48/7*v**2 - 66/7*v**4 + 0 - 8/7*v = 0.
-1, 0, 1/4, 2/5, 2
Let c(v) = -3*v - 13. Let g be c(-6). Factor -9*p**5 + 8*p**3 - 12*p**2 - 8*p - p**3 + 12*p**4 + 13*p**g - 3*p**3.
4*p*(p - 1)*(p + 1)**2*(p + 2)
Let b(s) be the first derivative of -s**6/160 + s**4/8 + 5*s**2 + 19. Let y(h) be the second derivative of b(h). Let y(g) = 0. Calculate g.
-2, 0, 2
Let z(x) be the third derivative of -x**7/7560 - x**6/360 - x**5/72 + x**4/12 + 9*x**2. Let s(b) be the second derivative of z(b). Factor s(q).
-(q + 1)*(q + 5)/3
Let n be -2 - 4/(-4) - -9. Factor -5*q**2 + n*q - 2*q**2 + 5*q**2.
-2*q*(q - 4)
Let c(y) be the second derivative of y**7/168 - y**6/60 - y**5/80 + y**4/24 - 81*y. Determine m, given that c(m) = 0.
-1, 0, 1, 2
Suppose 15*u - 53 - 7 = 0. Let l(w) be the first derivative of -1/9*w**2 - 2/27*w**3 + 3 + 2/9*w + 1/18*w**u. Solve l(p) = 0.
-1, 1
Let z(m) be the third derivative of m**5/30 - m**4/12 + 148*m**2 - 3*m. Solve z(o) = 0 for o.
0, 1
Factor -1/2*g**4 + 1/6*g**5 + 1/6*g**3 - 1/3