*a*(13*a + 2)/9
Let p be -2*-8*(-27)/432*(-3)/12. Factor -1/8*x**5 + 0 - p*x - 9/8*x**3 - 7/8*x**2 - 5/8*x**4.
-x*(x + 1)**3*(x + 2)/8
Let b(l) = -l**3 + 8*l**2 - 10*l - 3. Let s be b(3). Suppose 29*c = 46 + s. Let 4/3 - 1/3*d**c - 4*d + d**3 = 0. What is d?
-2, 1/3, 2
Let u = -943243/135 - -6987. Let t(n) be the third derivative of 0 + 0*n**4 + 11*n**2 + 0*n**3 + 1/540*n**6 + u*n**5 + 0*n. Determine w, given that t(w) = 0.
-4, 0
Let s(b) be the second derivative of -9/280*b**5 - 1/504*b**6 - 5/84*b**4 + 3*b**3 - 18*b + 0 + 0*b**2. Let n(p) be the second derivative of s(p). Factor n(i).
-(i + 5)*(5*i + 2)/7
Let f(w) = -2*w**3 - w - 10. Let h(t) = 25*t**3 - 38*t**2 + 81*t + 228. Let j(u) = 12*f(u) + h(u). Suppose j(r) = 0. Calculate r.
-1, 3, 36
Let c(z) be the second derivative of z**7/336 + z**6/24 - 29*z**5/80 - 17*z**4/3 + 219*z**3/16 + 567*z**2/8 - 5929*z. Find y such that c(y) = 0.
-9, -1, 2, 7
Let k(l) = -l**2 + 2*l + 3. Let x(c) = -c**2 - c + 1. Let f(q) = -2*k(q) + 4*x(q). Let n(m) = m**2 + 1. Let s(h) = f(h) - 2*n(h). Factor s(p).
-4*(p + 1)**2
Let v(d) be the first derivative of d**5/30 + 9*d**4/4 - 28*d**3/9 - 9*d**2/2 + 55*d/6 + 5664. Factor v(f).
(f - 1)**2*(f + 1)*(f + 55)/6
Let w(x) be the second derivative of x**9/3780 + x**8/840 - x**6/90 - x**5/30 + 65*x**4/6 + 146*x. Let k(n) be the third derivative of w(n). Factor k(g).
4*(g - 1)*(g + 1)**3
Factor -2/21*i**2 + 26 + 176/21*i.
-2*(i - 91)*(i + 3)/21
Let n(f) be the second derivative of -f**5/15 + 415*f**4/18 - 21424*f**3/9 - 10816*f**2/3 - 1538*f. Factor n(y).
-2*(y - 104)**2*(2*y + 1)/3
Let x(h) = -15*h**3 + 4*h**2 + 4*h + 1. Let a be (2/6)/(-3 - (-48)/18). Let r be x(a). Factor r*l**2 - 250*l**3 - 1458*l**5 - 2*l + 2*l + 972*l**4 + 34*l**3.
-2*l**2*(9*l - 2)**3
Let q(p) be the first derivative of 0*p**2 + 2/15*p**6 - 6/5*p**4 + 2/25*p**5 + 6/5*p**3 + 0*p + 25. Find u, given that q(u) = 0.
-3, 0, 1, 3/2
Suppose 191 = -7*i + 289. Suppose 46*r**2 + 720*r**3 + 7*r**5 - i*r**2 - 620*r**3 + r**5 + 76*r**4 = 0. What is r?
-8, -1, -1/2, 0
Let u = -1514 + 1027. Let c = u - -489. Let 1/5*i**3 + 0*i + 0 + 1/5*i**4 - 2/5*i**c = 0. What is i?
-2, 0, 1
Determine a so that 440/7*a - 82/7*a**3 - 246/7*a**2 + 6/7*a**4 + 2/7*a**5 + 600/7 = 0.
-5, -1, 2, 6
Let u(l) be the second derivative of -l**5/70 + 11*l**4/21 - 20*l**3/3 + 200*l**2/7 + 13849*l. Suppose u(p) = 0. Calculate p.
2, 10
Let g(z) = 20*z**3 - 64*z**2 - 50*z + 448. Let h(f) = 11*f**3 - 34*f**2 - 26*f + 224. Let i(w) = 10*g(w) - 18*h(w). Factor i(y).
2*(y - 14)*(y - 4)*(y + 4)
Let h be -1*(-810)/(-6)*(2 + -3). Factor -h*m + 56*m + 15*m**3 + 63*m - 7*m**3 - m**5.
-m*(m - 2)**2*(m + 2)**2
Let l be (-183)/((8/(-12))/((-2)/(-3))). Factor -329 + 4*m**4 + 82*m**2 + 128*m - l + 68*m**3 + 57*m**2 + 173*m**2.
4*(m - 1)*(m + 2)*(m + 8)**2
Let q = -189 + 191. Suppose 588 - 145*k**q + 472*k**2 - 756*k - 54*k**3 - 16*k**4 + 19*k**4 = 0. What is k?
2, 7
Find d such that -2400*d**5 + 6*d**3 - 4*d + 10*d + d**3 + d**4 - 13*d**2 + 2399*d**5 = 0.
-3, 0, 1, 2
Let v(f) = 31*f**3 - 188*f**2 + 14*f - 7. Let w be v(6). Let o be 2 - (0 + 1 + -27). Factor -51*d + 32*d**2 - w*d + 72 - 4*d**3 - o*d.
-4*(d - 3)**2*(d - 2)
Let c = -15/70217 + 281093/1053255. Determine z, given that c*z + 16/5 - 2/15*z**2 = 0.
-4, 6
Factor -8/3 + 7/3*a**3 - 6*a - 7/3*a**2 - 1/3*a**5 + a**4.
-(a - 4)*(a - 2)*(a + 1)**3/3
Suppose 11 = 7*i - 3. Let n(m) = 24 - 6*m**i - 10*m**3 + 2 + 5 + 19*m. Let j(p) = 7*p**3 + 4*p**2 - 13*p - 21. Let z(k) = -7*j(k) - 5*n(k). Factor z(c).
(c - 2)*(c + 2)**2
Let a be (-5454)/3636*1/(-9)*(3 + -1). Factor -a*b**3 - 2/3 - 5/3*b - 4/3*b**2.
-(b + 1)**2*(b + 2)/3
Let u(b) = b**2 + b - 4. Let g(q) = 1727*q + 1 + 0 - 1728*q. Let c(j) = -2*g(j) - u(j). Suppose c(k) = 0. Calculate k.
-1, 2
Factor -148*h + 443/3 + 1/3*h**2.
(h - 443)*(h - 1)/3
Let u(p) be the first derivative of 2/5*p**5 + 32/27*p**3 + 0*p + 1/27*p**6 + 0*p**2 + 49 + 4/3*p**4. Let u(i) = 0. Calculate i.
-4, -1, 0
Let t be (-2)/(-8) - (-37)/(-4) - 657943/(-18447). Let -t*i - 1600/3 - 1/3*i**2 = 0. Calculate i.
-40
Suppose b = -b + 4. Let k be ((-1656)/200 - -9)*(-5)/(-2). Factor 48/5*d**3 + 0 + k*d + 12/5*d**4 + 39/5*d**b.
3*d*(d + 3)*(2*d + 1)**2/5
Let o be 15/9*((-12834)/460 - -28)*(-9)/(-4). Find h such that o + 6*h**3 + 27/8*h + 9*h**2 = 0.
-1, -1/4
Let t(j) = -5*j**2 + 106*j + 45. Let k(v) = -1 + 234*v**2 - 2*v + 240*v**2 - 475*v**2. Let y(u) = 10*k(u) + 2*t(u). Factor y(s).
-4*(s - 10)*(5*s + 2)
Let v(u) be the first derivative of 4*u**5/5 - 3*u**4 + 8*u**3/3 + 3358. Factor v(q).
4*q**2*(q - 2)*(q - 1)
Find i, given that -169/2*i - 265/4*i**2 - 9/8*i**5 + 181/4*i**4 + 21 + 685/8*i**3 = 0.
-2, -1, 2/9, 1, 42
Let r = -18/745 - -907/6705. Let f(g) be the first derivative of -r*g**3 + 8/3*g**2 + 11 - 64/3*g. Factor f(k).
-(k - 8)**2/3
Let b = 308194 + -308191. Factor 1/6*c**2 + 0*c + 1/6*c**4 - 1/3*c**b + 0.
c**2*(c - 1)**2/6
Let n(a) be the first derivative of -a**5 + 15*a**4 + 100*a**3 + 160*a**2 - 988. Let n(g) = 0. What is g?
-2, 0, 16
Let d be 30/20*(1/3 - -1). Let c(w) = -w + 2. Let l be c(0). Let -3*x - 4*x**d + 3*x**l - 2 + 0*x**2 = 0. What is x?
-2, -1
Let j(m) be the first derivative of 2*m**3/33 + 76*m**2/11 + 966*m/11 - 5328. Factor j(a).
2*(a + 7)*(a + 69)/11
Let p be 10/6*90/25. Suppose 3*y - 5*y - 4*w - 16 = 0, 0 = 2*y + 2*w + p. Factor -27*c - y*c**2 - 5 + 15*c - 5.
-2*(c + 1)*(c + 5)
Suppose -46/5*t**3 - 16/5*t**4 + 0*t + 12*t**2 + 2/5*t**5 + 0 = 0. Calculate t.
-3, 0, 1, 10
Let q(i) be the third derivative of i**8/10080 + i**7/252 + i**6/40 + 22*i**5/15 + 9*i**2. Let b(g) be the third derivative of q(g). Factor b(w).
2*(w + 1)*(w + 9)
Find v such that 5616 + 339/2*v**3 + 9792*v + 9/2*v**4 + 2163*v**2 = 0.
-13, -12, -2/3
Factor 0 + 0*o**2 + 0*o**3 + 0*o + 2265/4*o**5 - 5/2*o**4.
5*o**4*(453*o - 2)/4
Let z be ((-1664)/2080)/((-7)/5 - -1). Let -2/17*x + 0*x**z + 2/17*x**3 + 0 = 0. What is x?
-1, 0, 1
Let y be ((-1)/(-38))/(1152/5472). Let t(a) be the first derivative of 3/4*a**2 + 5*a + y*a**4 + 44 - a**3. Determine x so that t(x) = 0.
-1, 2, 5
Factor -92/3*h**2 + 4/3*h**4 - 4*h + 120 - 4/3*h**3.
4*(h - 5)*(h - 2)*(h + 3)**2/3
Let f = 375827/2 - 187901. Factor 0 + 35/6*v**3 + 15/2*v - f*v**2 - 5/6*v**4.
-5*v*(v - 3)**2*(v - 1)/6
Let c(l) = -5*l**2 + 27*l - 10. Let i be c(5). Suppose 5*p = 4*p - 3*t - 7, i = 3*p + 2*t. Find q, given that 6/5*q + 0 - 3/5*q**p = 0.
0, 2
Suppose -w = -0*w + r - 20, 18 = w + 2*r. Let a(b) be the second derivative of 8/3*b**3 + 1/3*b**4 - 1 + 8*b**2 + w*b. Solve a(t) = 0 for t.
-2
Let k(r) be the second derivative of -2*r**5/15 - 31*r**4/2 + 118*r**3/3 - 71*r**2/3 - 22*r + 20. Determine a so that k(a) = 0.
-71, 1/4, 1
Suppose -58*n = -35*n - 92. Suppose 13*h = n + 48. Factor 0 - 2/3*q**2 + h*q.
-2*q*(q - 6)/3
Let j(b) = -1209*b**2 - 16557*b - 33045. Let t(c) = -288*c**2 - 4139*c - 8261. Let g(n) = -5*j(n) + 21*t(n). Let g(q) = 0. Calculate q.
-1376, -2
Let f(q) be the first derivative of -2*q**5/15 - 9*q**4/2 - 280*q**3/9 - 1692. Factor f(y).
-2*y**2*(y + 7)*(y + 20)/3
Let b(p) be the first derivative of -5/6*p**6 - 6*p**5 + 56 + 0*p - 65/4*p**4 - 10*p**2 - 20*p**3. Suppose b(c) = 0. What is c?
-2, -1, 0
Let i(d) be the third derivative of d**6/420 + 3*d**5/35 - 19*d**4/84 + 6465*d**2. Factor i(h).
2*h*(h - 1)*(h + 19)/7
Let o(d) = -2*d**2 + d**2 + 57*d - 5 - 68*d + 2*d**2. Let g be o(12). Suppose 14*k**3 - 27*k**3 + g*k**3 - 3*k**4 = 0. Calculate k.
-2, 0
Let y = 426 + -440. Let f be (-312)/(-364) - (-12)/y. Factor 4/11*t - 2/11*t**4 + f - 10/11*t**2 + 8/11*t**3.
-2*t*(t - 2)*(t - 1)**2/11
Let f(y) be the first derivative of -y**4/20 - 13*y**3/15 + 77*y**2/10 + 1089*y/5 - 966. Determine j, given that f(j) = 0.
-11, 9
Let b(p) = -6*p**3 - 20*p**2 - 8*p - 8. Let a(o) = 13*o**2 + 0*o + 4*o**3 + 5 + 19*o - 14*o. Let g(q) = 8*a(q) + 5*b(q). Factor g(u).
2*u**2*(u + 2)
Let u(l) be the second derivative of -l**5/150 - 37*l**4/15 - 1344*l**3/5 + 25088*l**2/15 + 1236*l. Factor u(g).
-2*(g - 2)*(g + 112)**2/15
Let l(v) be the second derivative of -v**6/50 - 189*v**5/50 - 992*v**4/5 + 63*v**3/5 + 11907*v**2/10 - 1744*v. Solve l(b) = 0 for b.
-63, -1, 1
Let h = 710 - 707. Factor -75*p + 48*p**3 + 23*p**h - 76*p**3 - 35 - 45*p**2.
-5*(p + 1)**2*(p + 7)
