*2 - z. Let q be c(-1). Factor -v**q + 1/2*v + 0 + 0*v**4 + 0*v**2 + 1/2*v**5.
v*(v - 1)**2*(v + 1)**2/2
Let l = 12 + -10. Suppose -6*t**l - 3*t + 15*t**2 + 11*t - 11*t**2 - 6 = 0. Calculate t.
1, 3
Suppose 8*v - 108 = 4*v. Find i such that 13*i - 7*i - v + 3*i**2 - 6*i = 0.
-3, 3
Let f be 4/10*(-50)/(-20). Let w(h) be the first derivative of -1/4*h**4 + 0*h**2 + 0*h**3 - f + 0*h. Factor w(o).
-o**3
Let y(a) be the second derivative of 1/315*a**7 + 0*a**2 + 0*a**5 + 0 + 10*a + 1/225*a**6 + 0*a**3 + 0*a**4. Factor y(b).
2*b**4*(b + 1)/15
Let r(z) = -21*z**4 - 20*z**3 + 139*z**2 - 29*z - 211. Let c(n) = -11*n**4 - 10*n**3 + 69*n**2 - 14*n - 106. Let k(d) = 11*c(d) - 6*r(d). Solve k(u) = 0.
-5, -1, 2
Factor 0*d - d**2 + 1/4*d**4 + 1/4*d**5 - d**3 + 0.
d**2*(d - 2)*(d + 1)*(d + 2)/4
Let b(z) = 2*z - 13 - 2*z**2 - 42*z**3 + 77*z**3 + 9*z**2 - 43*z**3. Let y(r) = r**3 + r**2 - r - 1. Let t(w) = b(w) + 5*y(w). Factor t(j).
-3*(j - 3)*(j - 2)*(j + 1)
Suppose -2*h = 2*k, -4*h = -0*k + 3*k + 2. Factor -4*z**4 - 8 - 36*z**k + 47*z**3 + 8*z - 6*z - 67*z**3 - 30*z.
-4*(z + 1)**3*(z + 2)
Suppose 4 = 2*d + 5*k, 6*k + 4 = 2*d + 2*k. Solve -2*t**2 - 54*t + 147 + 12*t + 5*t**d = 0 for t.
7
Let o(g) be the third derivative of g**6/90 - 2*g**5/15 - 5*g**4/6 + g**3/6 - 11*g**2. Let s(k) be the first derivative of o(k). Let s(c) = 0. What is c?
-1, 5
Let m(a) be the third derivative of a**8/840 - 4*a**7/525 + a**6/100 + 2*a**5/75 - a**4/15 - 11*a**2 - 7. Suppose m(h) = 0. What is h?
-1, 0, 1, 2
Let l(x) be the second derivative of x**9/6048 + x**8/1120 + x**7/560 + x**6/720 - 3*x**3 + 18*x. Let m(n) be the second derivative of l(n). Factor m(k).
k**2*(k + 1)**3/2
Let x(d) = 4*d**2 + 24*d + 48. Let y(p) = 2*p. Let k(j) = x(j) + 2*y(j). Factor k(q).
4*(q + 3)*(q + 4)
Let g(o) be the third derivative of -o**9/4032 - o**8/1120 + o**6/240 + o**5/160 + 3*o**3/2 + 8*o**2. Let s(w) be the first derivative of g(w). Factor s(q).
-3*q*(q - 1)*(q + 1)**3/4
Factor 0 + 1/5*f**3 - 2/5*f**2 + 0*f.
f**2*(f - 2)/5
Suppose 330 = -4*i + 15*i. Let b be (12/(-10))/2 + 63/i. Factor -3/2*d + 1/2 + b*d**2 - 1/2*d**3.
-(d - 1)**3/2
Let s(z) = z**2 + 2*z - 3. Let o be s(-4). Let d be o/(-50)*32*-1. Let 1458/5*a**3 - d + 216/5*a - 972/5*a**2 = 0. Calculate a.
2/9
Let l(p) be the third derivative of p**7/980 + p**6/126 - 2*p**5/105 + 22*p**3/3 + 16*p**2. Let h(s) be the first derivative of l(s). What is g in h(g) = 0?
-4, 0, 2/3
Let m(k) be the second derivative of k**7/168 - k**6/40 - k**5/8 - k**4/24 + 3*k**3/8 + 5*k**2/8 - 192*k. Determine p, given that m(p) = 0.
-1, 1, 5
Let u = -2/187 + 392/1683. Let 0 + u*a**2 + 0*a + 8/9*a**3 = 0. What is a?
-1/4, 0
Suppose 4*w - 2*w = 6. Let x = 9 - w. Let 3*h**2 + 3*h - 3*h**3 - x*h**3 + 3*h + 0*h**2 = 0. Calculate h.
-2/3, 0, 1
Suppose -2*o = -5*o + 9. Factor 4*v**2 + 11*v**3 - v**o - 8*v**3.
2*v**2*(v + 2)
Let r(u) be the second derivative of -1/30*u**5 + 1/3*u**3 + 0 + 0*u**4 - 2*u + 3/2*u**2. Let j(n) be the first derivative of r(n). Factor j(a).
-2*(a - 1)*(a + 1)
Let t be -5*(-7 - (-308)/49). Solve -9/7*b**2 - 15/7*b + t - 1/7*b**3 = 0.
-5, 1
Let v(d) be the first derivative of -d**8/336 + d**6/40 + d**5/30 - 7*d**2/2 + 22. Let h(y) be the second derivative of v(y). Solve h(i) = 0.
-1, 0, 2
Let n = 551 + -546. Let f(g) be the first derivative of -57/25*g**5 - 3/5*g**2 + n + 9/4*g**4 + 7/10*g**6 + 0*g - 1/5*g**3. Find u such that f(u) = 0.
-2/7, 0, 1
Let v(m) = 10*m**2 + m - 93. Let z be v(3). Find i such that 2/21*i - 2/21*i**2 + z = 0.
0, 1
Suppose -178*i**2 + 108*i + 338*i**2 + 4*i**4 - 196*i**2 - 12*i**3 = 0. Calculate i.
-3, 0, 3
Let l(c) = 2*c**2 - 5*c - 4. Let q be (-1)/(-3)*((2 - 0) + 13). Let n(b) = b**2 - b - 1. Let r(y) = q*l(y) - 15*n(y). Find a such that r(a) = 0.
-1
Let o(w) be the third derivative of -w**6/280 - w**5/70 + 3*w**4/56 + 8*w**2 - 5*w. Suppose o(x) = 0. Calculate x.
-3, 0, 1
Factor -m**2 + 53 - 65 - 19*m + 6*m + 0*m**2.
-(m + 1)*(m + 12)
Let n(c) be the first derivative of -1/5*c**2 + 10 + 8/25*c**5 + 4/15*c**3 + 7/10*c**4 + 0*c. Factor n(i).
2*i*(i + 1)**2*(4*i - 1)/5
Let l(u) = 2*u**3 + 7*u**2 - 17*u + 11. Let p(m) = m**3 - m + 1. Let j(f) = l(f) - 3*p(f). Suppose j(r) = 0. Calculate r.
1, 2, 4
Let r be (2*(-4 - -3))/(2041/2106 - 1). Find a such that -4/5*a**3 - 76/5*a**2 - 396/5*a - r = 0.
-9, -1
Suppose 26 = -q - 5*n, -2*q + 5*n + 32 = 9. Let t be q + 31/15 - (-14)/(-35). Solve -2/3*b**5 + 2/3*b**3 + 0 + t*b**4 + 0*b - 2/3*b**2 = 0 for b.
-1, 0, 1
Let f(w) be the second derivative of w**4/48 - 5*w**3/24 - 7*w**2/4 + 13*w - 1. Determine t so that f(t) = 0.
-2, 7
Let f = 1160/1737 + -2/1737. Determine w so that 2/3*w**4 + 4/3*w**3 + 0*w**2 - f - 4/3*w = 0.
-1, 1
Let w = -653 + 657. Let i(n) be the third derivative of 0*n**3 + 1/60*n**5 - 11*n**2 + 0*n - 1/8*n**w + 0. Factor i(o).
o*(o - 3)
Suppose 16*k = 2*k + 35*k. Suppose 3/5*l + 0 + 3/5*l**5 + 0*l**2 - 6/5*l**3 + k*l**4 = 0. Calculate l.
-1, 0, 1
Let o(l) be the first derivative of -l**3/4 + 75*l**2/8 - 18*l - 112. Solve o(x) = 0.
1, 24
Let g(q) = -3*q**3 + 9*q**2 + 7*q. Let a(l) be the second derivative of l**5/20 - l**4/12 - l**3/6 + 3*l. Let n(y) = -5*a(y) - g(y). Factor n(m).
-2*m*(m + 1)**2
Suppose 2*i = 2*b + 4, -b - 3*i = -0*b - 18. Factor -33*m + 15 - 23*m + 74*m + b*m**2.
3*(m + 1)*(m + 5)
Suppose -17*z**3 - 13202*z - 2*z**4 - 4*z**4 - 9*z**2 + 13204*z = 0. Calculate z.
-2, -1, 0, 1/6
Let n = 7762/105 + -382/5. Let i = n - -22/7. Suppose -i*h - 2/3 + 2/3*h**2 + 2/3*h**3 = 0. What is h?
-1, 1
Let m be 32/14 - (90/21 - 4). Factor 3*y**m + y**2 - 15*y**3 + 11*y**3.
-4*y**2*(y - 1)
Let h = 3/1223 + 4883/3669. Factor 0 - 2/3*u**3 + 0*u**2 + 0*u + h*u**5 + 2/3*u**4.
2*u**3*(u + 1)*(2*u - 1)/3
Let v(u) be the third derivative of -u**8/53760 - u**7/672 - 5*u**6/96 + 7*u**5/15 + 25*u**2. Let h(s) be the third derivative of v(s). What is c in h(c) = 0?
-10
Let m(l) be the first derivative of -5*l**9/3024 + l**8/168 - l**7/168 + 20*l**3/3 + 11. Let u(s) be the third derivative of m(s). Factor u(q).
-5*q**3*(q - 1)**2
Factor -9*a - 11*a**2 - 2*a**4 + 3*a**2 - 15*a + 4*a**3 + 10*a**3.
-2*a*(a - 6)*(a - 2)*(a + 1)
Let f(g) be the second derivative of g**8/4200 + g**7/420 + 2*g**6/225 + g**5/75 - 2*g**3 + 7*g. Let s(y) be the second derivative of f(y). Factor s(n).
2*n*(n + 1)*(n + 2)**2/5
Let n = 82739/197 + -420. Let j = 791/591 + n. Let j - 2/3*c**3 - 10/3*c + 8/3*c**2 = 0. Calculate c.
1, 2
Suppose 3711 - 3819 = -36*h. Determine s so that -8/11 + 16/11*s - 6/11*s**2 + 2/11*s**4 - 4/11*s**h = 0.
-2, 1, 2
Let a(x) be the first derivative of -2/5*x**5 - 5/2*x**4 + 0*x - 16/3*x**3 - 4*x**2 + 9. Factor a(s).
-2*s*(s + 1)*(s + 2)**2
Factor 18*a - 57 - 609948*a**2 + 4*a + 609947*a**2.
-(a - 19)*(a - 3)
Factor 911 + 8*k**2 - 4036 - 13*k**2 - 250*k.
-5*(k + 25)**2
Let q(b) = -3*b**2 + 67*b - 59. Let f(g) = 8*g**2 - 168*g + 148. Let c(u) = 5*f(u) + 12*q(u). Solve c(m) = 0 for m.
1, 8
Let j be (1 - 0) + 2 - -1. Let s(c) = 44*c + 8*c**2 - 65 + 117 - 11*c - 93. Let b(d) = -4*d**2 - 16*d + 20. Let f(h) = j*s(h) + 9*b(h). Factor f(l).
-4*(l - 1)*(l + 4)
Let h be (5 + 164/(-38))*(-2)/(-1). Let a = h + -2/57. Determine r, given that -10/3*r + a - 2/3*r**4 + 2*r**2 + 2/3*r**3 = 0.
-2, 1
What is n in -n**4 - 132*n**3 + 113*n**3 - 21*n - 11*n - n**4 - 54*n**2 + 32 = 0?
-4, -2, 1/2
Let -2*x**4 - 23920*x + 23892*x + 12*x**3 - 18*x**2 - 2*x**4 + 6*x**4 = 0. Calculate x.
-7, -1, 0, 2
Let u(k) be the first derivative of k**6/360 + k**5/60 - k**4/8 + 20*k**3/3 - 5. Let o(w) be the third derivative of u(w). Suppose o(l) = 0. Calculate l.
-3, 1
Let v(f) be the first derivative of 0*f + 0*f**3 + 6 - 2*f**2 - 1/8*f**4 + 1/20*f**5. Let d(a) be the second derivative of v(a). Suppose d(z) = 0. Calculate z.
0, 1
Let w(j) be the first derivative of j**5/28 + j**4/7 + 2*j**3/21 - 10*j - 23. Let l(m) be the first derivative of w(m). Factor l(z).
z*(z + 2)*(5*z + 2)/7
Let c = 11 + -8. Let k(u) = u**3 - 2*u**2 - 2*u - 1. Let z be k(c). Solve -4*x**z - 1 + 2*x**2 + 2*x - 3*x**2 + 4*x**2 = 0 for x.
1
Let o be 36/(-4) + 5/(120/228). What is r in 0*r + 0 - 1/2*r**2 + 0*r**3 + o*r**4 = 0?
-1, 0, 1
Let d(r) be the first derivative of -r**6/18 - 4*r**5/15 + r**4/4 + 2*r**3 + 88. Factor d(u).
-u**2*(u - 2)*(