 + t**6/30 - 99*t**2. Factor r(v).
4*v**3*(13*v + 3)/3
Let y be (-1)/(24/686)*10/7. Let k = -121/3 - y. Factor 0*z - 1/2*z**2 - k*z**5 + 0 + 1/2*z**3 + 1/2*z**4.
-z**2*(z - 1)**2*(z + 1)/2
Let v(y) = -7*y**3 + 21*y**2 - 39*y + 10. Let q(l) = -8*l**3 + 22*l**2 - 40*l + 8. Let n(g) = -5*q(g) + 6*v(g). Factor n(u).
-2*(u - 5)*(u - 2)*(u - 1)
Suppose -60*t - 58*t + 9*t**2 - 2*t**5 + 124*t - t**5 - 9*t**4 - 3*t**3 = 0. What is t?
-2, -1, 0, 1
Let f(y) be the first derivative of y**5/5 - 173*y**4/4 + 3306*y**3 - 92510*y**2 - 195112*y + 354. What is g in f(g) = 0?
-1, 58
Solve -4800 - 1760*s - 484/3*s**2 = 0 for s.
-60/11
Factor -33*d - 29*d + 58*d + 5*d**4 + 8*d**2 - 13*d**4 + 4*d**5.
4*d*(d - 1)**3*(d + 1)
Let k(o) be the second derivative of o**7/273 - 4*o**6/195 - o**5/130 + 2*o**4/39 + 28*o - 2. Suppose k(h) = 0. Calculate h.
-1, 0, 1, 4
Let i(c) = 97*c + 105*c**2 + 75*c + 250*c + 423*c + 820. Let b(k) = -8*k**2 - 65*k - 63. Let n(q) = 40*b(q) + 3*i(q). Solve n(s) = 0 for s.
-12, -1
Let j(f) be the second derivative of f**4/3 - 38*f**3/3 + 36*f**2 + 9*f + 2. Factor j(u).
4*(u - 18)*(u - 1)
Suppose 4*s = 3*u - 7, -s - 6*u + 27 = -u. Factor -88*f**2 - 87*f**2 - s + 177*f**2.
2*(f - 1)*(f + 1)
Factor -256/3 - 416*o - 440/3*o**2 - 12*o**3.
-4*(o + 4)*(o + 8)*(9*o + 2)/3
Let y(u) = 6*u**2 - 4*u - 3. Let l be y(-1). Suppose -7 + l = 6*b. Factor -v**2 + 2/5*v**3 + 2/5*v + b.
v*(v - 2)*(2*v - 1)/5
Let a(h) = -h**2 + 5*h + 8. Let y be a(5). Suppose -y = -25*n + 21*n. Find p, given that -2*p**2 + 2/3*p**3 + n*p - 2/3 = 0.
1
Let k be -20*3/15 + 2*5. Let n(p) be the third derivative of 0*p + 0 - 1/60*p**4 + 1/150*p**5 + 6*p**2 + 1/45*p**3 - 1/900*p**k. Factor n(u).
-2*(u - 1)**3/15
Factor 2/7*z**5 + 18/7*z**4 + 0 - 50/7*z**2 + 0*z + 30/7*z**3.
2*z**2*(z - 1)*(z + 5)**2/7
Let k(u) be the second derivative of u**8/4200 - u**7/2100 - u**6/900 + u**5/300 - 35*u**3/6 + 34*u. Let g(r) be the second derivative of k(r). Factor g(v).
2*v*(v - 1)**2*(v + 1)/5
Suppose 7*v - 5*v - 6 = u, 0 = 4*u + 4*v - 24. Let l(f) be the second derivative of 0*f**u - f + 0 - 1/27*f**3 + 1/54*f**4. Let l(a) = 0. What is a?
0, 1
Suppose 3*m - 4 = -j, 2*j + m + m = 8. Let l be (6 - j - -2) + -2. Factor 2*i**2 - 5*i**2 + i**2 - i**l.
-3*i**2
Let c(a) = 3*a**3 + 39*a - 68. Let g(u) = 26*u**3 + u**2 + 312*u - 542. Let i(h) = -51*c(h) + 6*g(h). Suppose i(t) = 0. What is t?
-8, 3
Let k(m) be the third derivative of m**4/4 + m**3/3 - 6*m**2. Let o be k(0). Let 3/4*y**4 - 1/2*y**o + 3/4*y - 1/4 - 1/4*y**5 - 1/2*y**3 = 0. Calculate y.
-1, 1
Let f = -13 + 13. Suppose 0 = -q - f + 2. Suppose a**3 + 0*a**2 + 2*a + 2 + 0*a**q - 5*a = 0. Calculate a.
-2, 1
Factor -g + 21/4 - 1/4*g**2.
-(g - 3)*(g + 7)/4
Let b(z) be the first derivative of 280*z**5 - 30*z**4 + 6*z**3/7 + 146. Solve b(m) = 0.
0, 3/70
Let p(n) = 5*n**3 + 7*n**2 + 2*n. Let u(x) = 15*x**3 + 22*x**2 + 7*x. Let r = -35 - -42. Let v(t) = r*p(t) - 2*u(t). Suppose v(s) = 0. What is s?
-1, 0
Let d(k) be the second derivative of -k**5/170 + 5*k**4/102 + 32*k**3/51 + 36*k**2/17 - 71*k. Let d(q) = 0. Calculate q.
-2, 9
Let n(c) be the first derivative of -c**6/12 - 47*c**5/30 + 121*c**4/24 - 89*c**3/18 + 3*c**2/2 - 290. Solve n(t) = 0.
-18, 0, 1/3, 1
Let z(i) be the second derivative of 0*i**3 + 0 - 1/2*i**2 + 1/12*i**4 + 7*i. Find l such that z(l) = 0.
-1, 1
Let l(c) be the first derivative of 2/21*c**3 - 20 + 8/7*c + 4/7*c**2. Factor l(o).
2*(o + 2)**2/7
Let b be (-4)/18 + ((-66)/(-54) - 1). Let r = -6 + 11. Factor -1/4*m**r + 1/4*m**2 + 3/4*m**4 - 3/4*m**3 + 0*m + b.
-m**2*(m - 1)**3/4
Suppose 36 - 96*a + 32*a**2 - 51*a + 3*a**3 - 9*a**4 + 85*a**2 = 0. Calculate a.
-4, 1/3, 1, 3
Let s(y) be the first derivative of y**5/3 + 65*y**4/12 + 80*y**3/3 + 170*y**2/3 + 160*y/3 - 12. Factor s(p).
5*(p + 1)*(p + 2)**2*(p + 8)/3
Let n(v) be the third derivative of 0*v + 1/15*v**5 + 5/6*v**4 + 0 + 8/3*v**3 - 4*v**2. Factor n(w).
4*(w + 1)*(w + 4)
Suppose -6*y + 18 = -0*y. Factor 32*r - 3*r**y - 7*r**2 - 2*r**2 - 15 - 5*r.
-3*(r - 1)**2*(r + 5)
Let a(f) be the third derivative of -2/5*f**3 + 0*f - 1/100*f**6 + 16*f**2 - 3/100*f**5 + 0 + 1/5*f**4 + 1/350*f**7. What is c in a(c) = 0?
-2, 1, 2
Let n(u) be the second derivative of 5*u**6/21 - 2*u**5 - 39*u**4/7 - 76*u**3/21 - u**2 + 624*u. Determine w, given that n(w) = 0.
-1, -1/5, 7
Let y = 5702/7 - 814. Let 2/7 - y*d + 2/7*d**2 = 0. Calculate d.
1
Let y(m) be the third derivative of 0*m**3 + 0*m - 1/12*m**4 - 1/30*m**5 + 0 - 3*m**2. Factor y(x).
-2*x*(x + 1)
Let q(s) be the first derivative of -s**6/90 - s**5/30 - 22*s - 20. Let b(g) be the first derivative of q(g). Find z, given that b(z) = 0.
-2, 0
Factor 8/15*d + 8/5 - 2/15*d**2.
-2*(d - 6)*(d + 2)/15
Let y(n) be the second derivative of -n**6/540 - n**5/60 - n**4/18 + 4*n**3/3 - 2*n. Let q(h) be the second derivative of y(h). Factor q(x).
-2*(x + 1)*(x + 2)/3
Let z(r) be the first derivative of 845*r**4/12 + 130*r**3/3 + 10*r**2 - 7*r + 23. Let p(b) be the first derivative of z(b). Determine f, given that p(f) = 0.
-2/13
Let l be 23/7 - 50/175. Let p be l*-1*(-4)/4. Find b such that 8/7 - 6/7*b**2 - 2/7*b**p + 0*b = 0.
-2, 1
Let u(c) be the first derivative of 4*c**6/21 + 10*c**5/7 + 3*c**4 + 50*c**3/21 + 4*c**2/7 + 46. Suppose u(h) = 0. What is h?
-4, -1, -1/4, 0
Let k(p) be the third derivative of p**8/30240 - p**7/7560 + 9*p**5/20 - 18*p**2. Let x(n) be the third derivative of k(n). Factor x(z).
2*z*(z - 1)/3
What is u in -5/2*u**2 - 7/2 - 1/2*u**3 + 13/2*u = 0?
-7, 1
Factor 8*x**4 - 6570*x**5 + 0*x**2 + 6566*x**5 + 0*x**2.
-4*x**4*(x - 2)
Suppose -3*z + 18 + 4 = 2*q, -32 = -5*z - q. Let a(t) be the third derivative of -1/150*t**5 - t**2 + 0*t**3 + 0*t + 0 + 0*t**4 + 1/600*t**z. Factor a(s).
s**2*(s - 2)/5
Suppose -19*d = 2 - 40. Factor 7*q**2 + 20*q - 8 - 3*q**d + 8.
4*q*(q + 5)
Let s(v) = 34*v**2 + v. Let b be s(-1). Let f = b - 27. Solve -2 - j**5 - 3*j**4 + f*j**3 - 21*j**2 - 3*j - 2*j**5 + 27*j**2 - 1 = 0 for j.
-1, 1
Factor 0 + 26/3*l - 11/3*l**2 - 1/3*l**3.
-l*(l - 2)*(l + 13)/3
Let v(t) be the third derivative of 2*t**7/105 + t**6/10 - 4*t**5/15 + 19*t**2. Find b such that v(b) = 0.
-4, 0, 1
Let p(h) be the second derivative of h**5/210 - h**4/84 - 11*h**2/2 + 3*h. Let z(u) be the first derivative of p(u). Factor z(x).
2*x*(x - 1)/7
Factor -2 + 18*u**2 + 2 + 6 - 8*u**2 + 14*u + 2*u**3.
2*(u + 1)**2*(u + 3)
Let j = -21 - -24. Determine k so that 49 - 8*k**2 + 2*k**4 - 24 - 4*k + 4*k**j - 19 = 0.
-3, -1, 1
Let c(y) = y**3 + 14*y**2 + 12*y + 18. Let p be c(-13). Let b = p - 18. Factor -9 + 13*k**2 + b + 6*k**3 + 5*k + 7*k + k**4.
(k + 1)**2*(k + 2)**2
Let n = 39/7 - 174/35. Let t(q) be the first derivative of -n*q**2 - 3/5*q - 2 + 3/10*q**4 + 1/5*q**3. Find j such that t(j) = 0.
-1, -1/2, 1
Let a be (-8 - 742/(-91))*13. Solve 3/7*w**a + 27/7 + 18/7*w = 0.
-3
Suppose 4*m - 16 = -w, 25*m - 20*m + 5*w = 35. Factor -3/8*h**m + 3/8*h**2 + 0 + 3/4*h.
-3*h*(h - 2)*(h + 1)/8
Factor -1/2*b**3 - 17/2 + 1/2*b + 17/2*b**2.
-(b - 17)*(b - 1)*(b + 1)/2
Suppose 0 = 36*u + 6378 - 6450. Find l, given that 5/6*l + 1/6*l**3 + 0 + l**u = 0.
-5, -1, 0
Let y(s) = -6*s**3 - 10*s**2 + 16*s + 20. Let w(a) = -a**3 - a**2 + a + 1. Let t(h) = 4*w(h) - y(h). Factor t(o).
2*(o - 2)*(o + 1)*(o + 4)
Suppose -5*c = -7*c + 6. Suppose -c = -3*a + 3. Factor -1/4*o - o**a + 0.
-o*(4*o + 1)/4
Let i(w) be the first derivative of 2*w**5/55 - 16*w**4/11 - 2*w**3/33 + 32*w**2/11 + 639. Suppose i(x) = 0. Calculate x.
-1, 0, 1, 32
Let j(l) be the first derivative of l**6/1440 - l**4/24 - 3*l**3 + 9. Let d(h) be the third derivative of j(h). Determine v, given that d(v) = 0.
-2, 2
Suppose -3*m = 2*m - 100. Suppose -3*t + y = 4, -m + 4 = -t - 4*y. Factor t - 4/7*h**2 - 2/7*h - 2/7*h**3.
-2*h*(h + 1)**2/7
Let y(v) be the first derivative of -v**8/168 + v**6/10 - 4*v**5/15 + v**4/4 + 8*v**2 + 26. Let k(s) be the second derivative of y(s). Factor k(t).
-2*t*(t - 1)**3*(t + 3)
Let d(g) be the first derivative of g**3/8 + 27*g**2/16 - 15*g/4 + 71. Suppose d(w) = 0. Calculate w.
-10, 1
Let g = 49 + -53. Let a(j) = -3*j**5 + 11*j**4 - 5*j**3 - 3*j + 11. Let c(i) = -i**5 + 4*i**4 - 2*i**3 - i + 4. Let v(s) = g*a(s) + 11*c(s). Factor v(w).
w*(w - 1)**2*(w + 1)**2
Let p(s) be the first derivative