 -99*r**2 + 0 + 94*r**i + 5 = 0. Calculate r.
-1, 1
Suppose i**5 + i + 0*i**5 + 6*i**2 - 4*i**4 + 3*i**3 + 3*i**2 - 13*i**2 + 3*i**3 = 0. Calculate i.
0, 1
Let t = 5 + -18. Let r(j) = j**3 + 14*j**2 + 13*j + 3. Let v be r(t). Find q such that 3*q - 5*q**2 + v*q**4 + 3*q**5 - q**2 - 7*q**3 - 1 + 4 + q**3 = 0.
-1, 1
Let g(a) be the third derivative of 0*a**3 - 1/120*a**6 - 11*a**2 + 0*a**4 + 0 + 0*a + 1/504*a**8 + 0*a**5 + 1/126*a**7. Factor g(f).
f**3*(f + 3)*(2*f - 1)/3
Factor -8312*b + 0 + 2*b**2 - b**3 + 8319*b + 4.
-(b - 4)*(b + 1)**2
Let l(g) = 2*g**5 - g**4 - g**3 - g**2 - g. Let s(k) = -7*k**4 - 7*k**3 - 3*k**2 - k. Let h(d) = l(d) - s(d). What is j in h(j) = 0?
-1, 0
Let r be 18/30*5 - -3. Suppose 0*s**2 + 3*s**2 - 42*s + 33*s - r*s**2 = 0. What is s?
-3, 0
Let j(r) = -2*r**3 - 97*r**2 + 48*r - 4. Let q(m) = 3*m**3 + 96*m**2 - 48*m + 3. Let p(h) = 3*j(h) + 4*q(h). Suppose p(d) = 0. Calculate d.
-16, 0, 1/2
Let c(n) be the second derivative of 3/5*n**5 - 2/5*n**6 + 2/21*n**7 + 0*n**3 + 9*n - 1/3*n**4 + 0 + 0*n**2. Factor c(g).
4*g**2*(g - 1)**3
Let t(d) be the first derivative of -d**7/21 - 23*d**6/105 - 3*d**5/35 - 32*d - 2. Let y(v) be the first derivative of t(v). Factor y(p).
-2*p**3*(p + 3)*(7*p + 2)/7
Let f(y) = -y**2 + 27. Let q be f(-5). Suppose -g = 3*j + 9, -4*j + 0 = -q*g + 12. Factor -3/5*r**2 + g - 3/5*r.
-3*r*(r + 1)/5
Determine q so that 2/7*q**3 + 2/7*q**4 - 2*q**2 - 12/7 - 26/7*q = 0.
-2, -1, 3
Let k(d) be the first derivative of 0*d**2 + 0*d**3 + 4 - 2/65*d**5 + 0*d + 1/26*d**4. Suppose k(y) = 0. Calculate y.
0, 1
Suppose 4*r - 5*j = r + 299, -r = -2*j - 98. Let u = -286 + 430. Find l such that u*l**3 + 42*l**4 - 45*l**3 + r*l**4 - 12*l + 63*l**5 = 0.
-1, -2/3, 0, 2/7
Let u = -12/109 + 2198/17985. Let y = 4/33 + u. Solve -y*n**4 - 4/15*n + 0 + 0*n**3 + 2/5*n**2 = 0 for n.
-2, 0, 1
Let p = -207 - -212. Let k(a) be the third derivative of -4/9*a**3 + 0*a + 4/9*a**4 + 3*a**2 + 0 - 7/90*a**p. Solve k(b) = 0.
2/7, 2
Let j = 24329/9 + -2703. Suppose -m + 2*u = 2, -2*u + 11 = 2*m + 3. Determine o so that 4/9*o + 0 + j*o**m = 0.
-2, 0
Let p(d) = -d**2 - 7*d - 4. Let l(b) = 2*b**2 + 8*b + 5. Let g(w) = -2*l(w) - 3*p(w). Let q be g(5). Suppose -1 - 1/2*y**q - 3/2*y = 0. What is y?
-2, -1
Let j = 16646/3 + -5546. Find w such that 10/3*w**2 - 2*w**4 + j*w**3 - 4/3*w + 0 = 0.
-1, 0, 1/3, 2
Suppose -3*z = -z - 8. Suppose -3*t**2 + 0*t + z*t + t**2 - 6*t = 0. What is t?
-1, 0
Find u such that 2/5*u**3 - 8/5*u + 0 - 6/5*u**2 = 0.
-1, 0, 4
Let l = -6/31 + -45/248. Let q = 1/8 - l. Factor q*x**2 + 0 + 1/6*x.
x*(3*x + 1)/6
Let f be (-34)/85 + 6/40 + -1. Let r = 1/4 - f. Suppose 0*c**3 + 3/2*c**4 + 3/4*c**5 - r*c**2 + 0 - 3/4*c = 0. Calculate c.
-1, 0, 1
Solve -48/19*f + 2/19*f**5 - 40/19*f**2 + 52/19*f**3 + 64/19 - 18/19*f**4 = 0 for f.
-1, 2, 4
Let x(o) be the first derivative of -o**5/5 + 5*o**4/4 + 14*o**3 + 38*o**2 + 40*o - 44. Factor x(l).
-(l - 10)*(l + 1)*(l + 2)**2
Let y(t) = 9*t**4 - 9*t**3 - 5. Let f(d) be the third derivative of d**7/15 - 7*d**6/60 - 4*d**3/3 - 36*d**2. Let a(o) = 5*f(o) - 8*y(o). What is i in a(i) = 0?
0, 1
Factor -32/13*j**4 + 0 + 30/13*j**3 + 2/13*j**5 + 0*j**2 + 0*j.
2*j**3*(j - 15)*(j - 1)/13
Suppose 2*x - 5*v + 22 = 7, 0 = -4*x + 4*v. Factor -x*l - 6 - 5*l**2 + 6.
-5*l*(l + 1)
Let u(v) = -16*v + 5. Let z be u(0). Let h(k) be the second derivative of -k + 0 + 0*k**2 + 0*k**3 - 1/12*k**4 + 1/40*k**z. Factor h(f).
f**2*(f - 2)/2
Let h(y) be the first derivative of -y**6/4 - 6*y**5/5 - 15*y**4/8 - y**3 + 236. Let h(t) = 0. Calculate t.
-2, -1, 0
Suppose -6 = -10*y + 7*y. Factor y*n - 4*n**3 + 0*n + 5*n - 3*n - 2*n**4 + 2*n**2.
-2*n*(n - 1)*(n + 1)*(n + 2)
Let u be (334/(-4))/(14/28). Let i = u + 1171/7. Factor 2/7*v**4 + 2/7*v**3 - i*v - 2/7*v**2 + 0.
2*v*(v - 1)*(v + 1)**2/7
Let l(s) = -s**3 - 7*s**2 + 10*s + 21. Let g be l(-8). Let d(u) be the third derivative of 1/16*u**g + 0 + 5*u**2 - 1/2*u**3 + 0*u - 1/4*u**4. Factor d(r).
3*(r - 2)*(5*r + 2)/4
Factor -103*j**2 + 32*j - 128*j - 1152 + 101*j**2.
-2*(j + 24)**2
Let h = 42/47 + -12/329. Factor h - 2/7*d**2 + 4/7*d.
-2*(d - 3)*(d + 1)/7
Factor 218 - 5*z**4 - 107 + 85*z**2 - 180*z - 11.
-5*(z - 2)**2*(z - 1)*(z + 5)
Determine k so that -1/5*k**4 + 7/5*k**3 + 0 - 7/5*k + 1/5*k**2 = 0.
-1, 0, 1, 7
Let f(p) be the third derivative of -p**6/420 + 3*p**5/70 + p**4/4 - p**3/6 + 26*p**2. Let v(b) be the first derivative of f(b). Factor v(o).
-6*(o - 7)*(o + 1)/7
Let h(y) be the second derivative of y**6/90 - 19*y**5/30 - 10*y**4/9 + 19*y**3/9 + 13*y**2/2 - 20*y - 2. Let h(a) = 0. What is a?
-1, 1, 39
Factor 7614*h**2 + 53*h**4 - 1 + 2*h + 17*h**5 - 7591*h**2 + 57*h**3 + 1.
h*(h + 1)**3*(17*h + 2)
Let y(k) be the second derivative of -1/2*k**2 + 0 + 3/8*k**3 - 2*k - 1/8*k**4 + 1/80*k**5. Factor y(m).
(m - 4)*(m - 1)**2/4
Let f(r) be the first derivative of -r**3/9 + 13*r**2 - 507*r + 156. Find c such that f(c) = 0.
39
Let b = -14 - -18. Let q be 55/22*(-12)/(-10). Solve -5*v**2 + 3*v**q - 5*v**4 - b*v**3 - 9*v**3 = 0 for v.
-1, 0
Suppose n - 2*d = 128, -5*n + 3*d + 584 = 7*d. Let w be 4/n*4*27. Factor -2/5*v**2 - 12/5*v - w.
-2*(v + 3)**2/5
Suppose -5*i**2 - 186*i - 613*i - 508*i - 47045 + 337*i = 0. Calculate i.
-97
Let m be (-2 - -2) + 2 + 1. Factor -2*j**3 + 9*j**2 + 6*j**2 - 14*j - m*j**3 + 4*j.
-5*j*(j - 2)*(j - 1)
Let v(d) be the third derivative of d**6/72 + d**5/30 + d**4/30 - 5*d**3/6 + 6*d**2. Let a(p) be the first derivative of v(p). Factor a(h).
(5*h + 2)**2/5
Let n(l) be the first derivative of l**4/30 - 52*l**3/15 + 676*l**2/5 - 35152*l/15 - 5. Solve n(g) = 0.
26
Let h be (-3)/6*(-9 - 1). Let c be 84/(-49)*(-2)/((-48)/(-6)). Factor -2/7*p**3 + 5/7*p**4 + 0 - c*p**h + 0*p + 0*p**2.
-p**3*(p - 1)*(3*p - 2)/7
Factor -2/5*h**4 - 4/5*h + 0 + 1/5*h**5 - 3/5*h**3 + 8/5*h**2.
h*(h - 2)*(h - 1)**2*(h + 2)/5
Let m(s) be the third derivative of s**9/9072 - s**7/1512 - s**4/2 + 10*s**2. Let z(q) be the second derivative of m(q). Factor z(r).
5*r**2*(r - 1)*(r + 1)/3
Find p, given that -968/5 - 88/5*p - 2/5*p**2 = 0.
-22
Let s(p) be the third derivative of -p**6/90 + p**5/18 + 7*p**4/9 - 5*p**3/3 + 2*p**2 - 12*p. Suppose s(n) = 0. Calculate n.
-3, 1/2, 5
Let r(i) = -i**2 + 9*i + 2. Let p be r(9). Factor 9*o**3 + 11*o**2 + 3*o - 16*o**2 - p*o**4 - 4*o**2 - o**4.
-3*o*(o - 1)**3
Let b(j) be the third derivative of j**5/12 + 5*j**4/8 + 5*j**3/3 - 52*j**2. Factor b(n).
5*(n + 1)*(n + 2)
Let t(k) be the second derivative of -k**7/210 + k**6/75 + k**5/50 - k**4/15 - k**3/30 + k**2/5 + 5*k + 2. Determine o, given that t(o) = 0.
-1, 1, 2
Let r(g) be the third derivative of g**5/30 + g**4/12 + g**2 - 47*g. Factor r(t).
2*t*(t + 1)
Factor 491*q - 3266*q + 898*q**2 + 565*q**2 + 388*q**2 + 404*q**2 - 605*q**3 + 1125.
-5*(q - 1)*(11*q - 15)**2
Let x(i) be the third derivative of -i**7/210 + i**6/60 + i**5/60 - i**4/12 + 4*i**2 - 2*i. Factor x(a).
-a*(a - 2)*(a - 1)*(a + 1)
Factor 1/5*d**2 + 7/5*d - 18/5.
(d - 2)*(d + 9)/5
Factor 0*s + 0*s**2 + 0 + 4/7*s**5 + 144/7*s**3 + 48/7*s**4.
4*s**3*(s + 6)**2/7
Suppose -5*h + 2*s - 23 = -99, 0 = -h + 5*s + 29. Determine i so that -h*i**3 - 103*i**2 - 107*i**2 - 111*i**3 - 22*i**3 - 24 + 156*i = 0.
-2, 2/7
Let m = -29/100 - -11/25. Let c(b) be the third derivative of -m*b**5 - 5/12*b**4 - 1/2*b**3 + 0*b + 9*b**2 + 0 - 1/60*b**6. Factor c(i).
-(i + 1)*(i + 3)*(2*i + 1)
Let r(h) = 2*h**3 + 51*h**2 + 28*h + 77. Let c be r(-25). Let j(g) be the second derivative of 0*g**4 + 1/10*g**3 + 0*g**c - 3/100*g**5 + 0 - 2*g. Factor j(z).
-3*z*(z - 1)*(z + 1)/5
Let k(y) be the first derivative of y**4/8 + 47*y**3/6 + 132*y**2 - 288*y - 320. Determine v, given that k(v) = 0.
-24, 1
Determine b, given that -3/4*b**2 + 0 - 87*b = 0.
-116, 0
Suppose 59*g - 262 = -85. Find r such that -1/2 - 1/4*r**g + 1/2*r**2 + 1/4*r = 0.
-1, 1, 2
Let j(l) = -7*l**3 + 4*l**2 + 13*l - 1. Let o(f) = -16*f**3 + 8*f**2 + 30*f - 1. Let p(z) = 7*j(z) - 3*o(z). Factor p(h).
-(h - 4)*(h - 1)*(h + 1)
Let t(z) be the first derivative of -3*z**5/25 + 27*z**4/20 - 13*z**3/5 - 27*z**2/10 + 42*z/5 + 68. Suppose t(a) = 0. Calculate a.
-1, 1, 2, 7
Let q(u) be the second derivative of -3/20*u**5 + 0 + 30*u + 1/6*u**4 + 0*u**2 + 0*u**3 + 1/30*u**6. Factor q(v).
v**2*(v - 2)*(v - 1)
Le