
-1, 1, 4, 13
Let q(d) = -486*d + 19440. Let b be q(40). Factor -2/3*o**2 + 2/15*o**3 + b - 4/5*o.
2*o*(o - 6)*(o + 1)/15
Suppose -f = -6*f, -5*j - 2*f + 15 = 0. Suppose 2*q - 3*l - 6 = 6, -3 = -j*q - 3*l. Solve 4*x**4 + 32/3*x**2 + 4/3 - 28/3*x**q - 6*x - 2/3*x**5 = 0 for x.
1, 2
Let y be (154/21 + -6)*(-63)/(-147). Find n such that 640/7*n + y*n**5 + 1552/7*n**2 + 94/7*n**4 + 688/7*n**3 - 800/7 = 0.
-10, -2, 1/2
Factor -3/4*p**2 + 21*p + 45.
-3*(p - 30)*(p + 2)/4
Determine g, given that 4/3*g**5 - 56/3*g**2 - 20*g**3 + 32 + 16/3*g**4 + 112/3*g = 0.
-6, -1, 2
Suppose 6*q - 631 = -391. Factor q + 5*d**3 + 0*d**2 + 39*d + 30*d + 30*d**2 - 5*d - 4*d.
5*(d + 2)**3
Solve -4776*c - 128*c**3 - 442*c**3 - 132*c**4 + 4746*c + 715*c**2 + 17*c**4 = 0 for c.
-6, 0, 1/23, 1
Let c(p) be the second derivative of 0 + 0*p**2 + 22/21*p**3 + 1/42*p**4 - 125*p. What is m in c(m) = 0?
-22, 0
Let j(k) = -10*k - 50. Let q be j(-5). Let x be 36/(-4) - 27/(-2). Find n such that 3/2*n**5 + x*n**4 + 0 + q*n + 3/2*n**2 + 9/2*n**3 = 0.
-1, 0
Let f(s) be the second derivative of -13/9*s**4 + 0*s**2 + 51*s + 0*s**3 + 0 - 4/5*s**5 + 2/45*s**6. Factor f(b).
4*b**2*(b - 13)*(b + 1)/3
Let w be (-6)/(-9) - (7 + (-564)/36). Factor -4 + 5/3*s**2 + w*s.
(s + 6)*(5*s - 2)/3
Solve 1/5*b**4 + 4/5*b**3 - 3/5*b**2 - 18/5*b + 0 = 0.
-3, 0, 2
Let o(v) be the first derivative of 0*v**3 - 2/3*v**2 - 36 - v + 1/36*v**4. Let n(m) be the first derivative of o(m). Find k, given that n(k) = 0.
-2, 2
Let t(s) be the first derivative of -s**4/24 + 11*s**3/9 - 59*s**2/12 + 19*s/3 - 1221. Factor t(a).
-(a - 19)*(a - 2)*(a - 1)/6
Let x(p) = p**2 + 2240*p - 15727. Let i be x(7). Let -i + 4*q - 3/2*q**2 = 0. What is q?
2/3, 2
Let j(f) be the third derivative of f**5/20 - 9*f**4/4 + 36*f**3 + 347*f**2. Solve j(z) = 0 for z.
6, 12
Solve 331/5*h**2 - 1/5*h**3 - 664/5 + 334/5*h = 0 for h.
-2, 1, 332
Let m(s) = -s**3 + 18*s**2 + 42*s + 38. Let w be m(20). Let 60*d + 57*d**2 + 84*d**2 - w*d**2 - 6*d**3 - 21*d**4 + 12 = 0. What is d?
-1, -2/7, 2
Let c be (-59)/14*(-8 + 10) - 484/(-44). Factor -18/7*s**5 + 120/7*s**4 - 236/7*s**3 + 120/7*s**2 + 0 - c*s.
-2*s*(s - 3)**2*(3*s - 1)**2/7
Suppose -2*m - 4 = 4*z - 36, -4*m + 3*z + 31 = 0. Solve -33 + 22 - 2*h**2 + 22*h + 25 + m = 0.
-1, 12
Let m be (-31 + 4)/(((-5)/2)/((-2)/(-4))). Let -m*u + 1/5*u**2 + 3/5*u**3 - 9/5 = 0. What is u?
-3, -1/3, 3
Let i = 60069/46 - 30000/23. Suppose -3 + 105/8*c**2 + 69/8*c + i*c**3 = 0. What is c?
-8, -1, 1/4
Let n(c) be the second derivative of -1/9*c**2 + 1/36*c**5 + 0 + 159*c + 7/54*c**4 + 7/54*c**3. Factor n(r).
(r + 1)*(r + 2)*(5*r - 1)/9
Suppose 8*r - 936 = -104. Suppose -4*q - 4*p + 20 = 0, -107*p + 17 = 4*q - r*p. Suppose -2*w**3 + 6/7*w**q - 6/7*w**4 + 0 + 4/7*w + 10/7*w**5 = 0. Calculate w.
-1, -2/5, 0, 1
Suppose 0 + 2/3*k**4 - 132*k + 194/3*k**2 + 200/3*k**3 = 0. What is k?
-99, -2, 0, 1
Suppose 5*x + 8*x = 546. Solve -x*y**2 + 5*y + 76*y**2 - 39*y**2 + 10 = 0.
-1, 2
Let m(n) be the first derivative of -n**4/10 + 14*n**3/15 + 52*n**2 + 7012. Factor m(y).
-2*y*(y - 20)*(y + 13)/5
Let i(x) be the second derivative of -4/39*x**3 + 3/65*x**6 + 0*x**2 - 102*x + 2/273*x**7 + 1/65*x**5 - 3/26*x**4 + 0. Find q such that i(q) = 0.
-4, -1, -1/2, 0, 1
Let b(t) = 2*t**2 - 1642*t + 1667. Let i(d) = -6*d**2 + 4934*d - 5000. Let h(z) = 8*b(z) + 3*i(z). Let h(a) = 0. What is a?
1, 832
Let c(v) = 4*v**3 - 5*v**2 + 4*v + 1. Let h be c(2). Find y such that -26*y + 110*y**2 + 84*y - 24 - h*y**2 + 7*y**3 = 0.
-12, -1, 2/7
Let r(a) be the first derivative of 11*a**3 - 9*a**4 + 222 + 0*a + 3*a**5 - 21/4*a**2 - 1/4*a**6. Solve r(k) = 0 for k.
0, 1, 7
Let v(g) = -g**2 - g + 5. Let z(j) = 17*j**2 - 71*j + 93. Let p(w) = -38*v(w) - 2*z(w). Find t, given that p(t) = 0.
-47, 2
Let p(i) be the second derivative of i**4/6 + 308*i**3/3 + 307*i**2 + 8527*i. Solve p(z) = 0 for z.
-307, -1
Let -59*y**2 + 58*y**2 + 85256 + 154*y - 1272*y - 74778 - 322959 = 0. What is y?
-559
Let z(i) be the second derivative of -5*i**4/12 - 265*i**3/6 - 490*i**2 + i + 1193. Factor z(h).
-5*(h + 4)*(h + 49)
Factor -32097*j**3 + 6144 - 1815*j - 1641*j - 1517*j**2 + j**4 - 1357*j**2 + 32286*j**3 - 4*j**4.
-3*(j - 32)**2*(j - 1)*(j + 2)
Let n(k) be the second derivative of -k**6/6 + 15*k**5/2 - 195*k**4/4 - 1350*k**3 - 7290*k**2 + 862*k. Factor n(m).
-5*(m - 18)**2*(m + 3)**2
Suppose 180*y = -110*y - 1355*y + 3290. Determine t, given that 9/2*t - t**y - 1/2*t**3 + 9 = 0.
-3, -2, 3
Let z(h) = 23*h**5 - 6*h**4 + 43*h**3 - 11*h**2 - 33*h + 39. Let c(x) = -2*x**5 - x**4 - x - 1. Let a(i) = 22*c(i) + 2*z(i). Let a(r) = 0. Calculate r.
-1, 1, 2, 14
Let r(i) be the third derivative of -7/3*i**3 + 7*i**2 + 1/4*i**4 + 0 - i + 1/120*i**5. Factor r(b).
(b - 2)*(b + 14)/2
Let k(u) be the third derivative of 0*u**4 + 0 - 5/336*u**8 + 1/7*u**7 + 0*u**5 + 0*u**3 + 70*u**2 + 0*u + 7/24*u**6. Factor k(l).
-5*l**3*(l - 7)*(l + 1)
Let y be 54 - 846*(-25)/(-405). Let 961/9*z**2 + 248/9*z + y = 0. Calculate z.
-4/31
Let x be 4128/(-144)*-3*9. Solve 659*f + 4226 + 3*f**2 - f**2 - 459*f + x = 0.
-50
Determine h so that -25/8*h**5 + 151 - 3765/4*h**4 + 6061/8*h**3 - 1509/2*h + 3161/4*h**2 = 0.
-302, -1, 2/5, 1
Let g(s) = 3*s**3 + 930*s**2 + 6147*s. Let u(r) = -r**3 - 468*r**2 - 3072*r. Let l(f) = -4*g(f) - 9*u(f). Factor l(h).
-3*h*(h - 170)*(h + 6)
Suppose 3*k + 2*v = 3, -k = -2*v + 42 - 51. Let c(d) be the second derivative of -11/3*d**4 + 0*d**2 - d**5 - 22*d - 4/3*d**k + 0. Solve c(t) = 0 for t.
-2, -1/5, 0
Let h(p) be the first derivative of 2*p**5/25 + 7*p**4/5 + 14*p**3/3 + 22*p**2/5 - 4408. Factor h(u).
2*u*(u + 1)*(u + 2)*(u + 11)/5
Suppose -15 = -m - m - s, 0 = 5*m - 5*s + 45. Solve 0 + 5/3*n**4 - 5/3*n**m + 0*n + 0*n**3 = 0 for n.
-1, 0, 1
Let n = -59135 + 59144. Factor 3/4*p**2 - n - 3/4*p.
3*(p - 4)*(p + 3)/4
Let f(d) = -d**2 + 22*d - 38. Let b be f(17). Let 93*k**2 + 10 + b*k**2 + 125*k - 13 - 37 = 0. Calculate k.
-8/7, 1/4
Let q(a) be the second derivative of -10*a**2 - 5/2*a**4 - a + 5 + 15/2*a**3 + 1/4*a**5. Solve q(t) = 0 for t.
1, 4
Suppose 6272/5*b**3 + 0*b + 1/10*b**5 + 0*b**2 + 0 + 112/5*b**4 = 0. What is b?
-112, 0
Let q(l) be the first derivative of 16*l - 20*l**2 - 82 + 25/3*l**3. Factor q(t).
(5*t - 4)**2
Let l(j) be the third derivative of -j**8/2184 + 2*j**7/65 - 109*j**6/156 + 354*j**5/65 - 135*j**4/13 - 5279*j**2. Suppose l(n) = 0. Calculate n.
0, 1, 5, 18
Let j(l) = l**3 + 43*l**2 + 40*l + 84. Let h be j(-42). Let q be (56/h)/(((-4)/(-10))/1). Factor 0*d + 0 - q*d**5 + 5/6*d**2 + 5/6*d**3 - 5/6*d**4.
-5*d**2*(d - 1)*(d + 1)**2/6
Let k(a) be the third derivative of -a**9/332640 - a**8/5280 + 19*a**5/12 + a**2 - 14*a. Let p(z) be the third derivative of k(z). Factor p(m).
-2*m**2*(m + 21)/11
Factor 882 + 290*s**2 + 433*s**2 - 211*s**2 + 1671*s - 327*s.
2*(16*s + 21)**2
Determine u so that 232/5*u**3 - 384/5*u + 2/5*u**5 + 0 + 104/5*u**2 + 46/5*u**4 = 0.
-16, -6, -2, 0, 1
Let p be (1*(-14 + 189/14))/(-1). Find v such that 0*v - p + 1/2*v**2 = 0.
-1, 1
Factor 15*i**2 - 592 + i**2 + 5322337*i - 4*i**2 - 5323217*i.
4*(i - 74)*(3*i + 2)
Let r(a) = a**2 + a + 1. Let o be r(-2). Suppose -j - 2*q = -10, o*j + 2*j - 5*q + 10 = 0. Factor -10*b**2 + 2*b**2 - 9*b + 11*b**j.
3*b*(b - 3)
Let j be (12 - 0)*(-170)/(-5100). Let m(i) be the first derivative of -6 + 3/5*i + 9/10*i**2 + j*i**3. Factor m(z).
3*(z + 1)*(2*z + 1)/5
Suppose 0 = 18*v - 4*v - 434. Let l(t) = 11*t**3 + 2*t**2 + t + 2. Let g be l(2). Factor -11*q**2 - 84*q**2 - v - 35*q**3 + 5*q**2 - 9 - g*q - 5*q**4.
-5*(q + 1)*(q + 2)**3
Let q(a) be the third derivative of a**6/660 + 2*a**5/33 + 107*a**4/132 + 8*a**3/3 + 2*a**2 + 556*a. Factor q(l).
2*(l + 1)*(l + 8)*(l + 11)/11
Let x(g) = -g**2 + 2*g + 2. Let u(r) = -21*r**2 + 1507*r + 602. Let q(p) = -u(p) - 4*x(p). Factor q(j).
5*(j - 61)*(5*j + 2)
Let u(q) = -8*q - 38. Let m be u(-5). Solve -7*i - 9*i - i**2 + m*i - 2*i - 64 = 0 for i.
-8
Suppose -4*v = 258 - 74. Let k be (v/69)/(8/(-3)). Let -5/4*r**2 - r + 0 - k*r**3 = 0. Calculate r.
-4, -1, 0
Solve -191/9*c + 2/9*c**4 + 62/3*c**2 - 14 + 43/3*c**3 = 0 for c.
-63, -2, -1/2, 1
Let p = 240 + -235. Suppose 0*k = k + 5, -p*d - 5*k = 15. What is h in 3/2*h**d - 3/2*h**3 + 0*h + 0 = 0?
0, 1
Let b(v) be the first derivative of