h**3 + 1/15*h**6 + 2/5*h**r + 9*h**2 - 1/3*h**4 + 5*h + 0. What is b in k(b) = 0?
-3, 1
Let b(x) be the third derivative of x**7/1470 - x**6/105 - x**5/28 + 9*x**4/28 + 548*x**2. Factor b(v).
v*(v - 9)*(v - 2)*(v + 3)/7
Let m(h) = -h + 50. Let d be m(-9). Let j = 119/2 - d. Find b such that 1/4 + 0*b**2 - 1/4*b**4 - 1/2*b + j*b**3 = 0.
-1, 1
Find a, given that 2/11*a**3 + 2/11*a**4 + 0*a + 0 - 12/11*a**2 = 0.
-3, 0, 2
Let q(d) = -8 - 4 + 5 + 1 - 3*d. Let r be q(-2). Factor 0*m + r - 2/3*m**2 - 2/3*m**3.
-2*m**2*(m + 1)/3
Let n(g) = -4*g**2 + 1. Let u(z) = 3*z**2 - 1. Let r(q) = 4*n(q) + 5*u(q). Let l(y) = 4*y**3 + 40*y**2 + 12*y + 24. Let m(d) = -l(d) - 24*r(d). Factor m(b).
-4*b*(b + 1)*(b + 3)
Let i = 20019 - 20015. Factor 8/7*r**i + 0 + 0*r + 0*r**2 - 4/7*r**5 - 4/7*r**3.
-4*r**3*(r - 1)**2/7
Let c(a) be the first derivative of a**3 - 135*a**2 + 6075*a + 93. Determine u, given that c(u) = 0.
45
Suppose 11/2*q**2 + 0 + 121/2*q + 1/8*q**3 = 0. Calculate q.
-22, 0
Let o(c) be the first derivative of -2*c**3/15 + 5*c**2 + 52*c/5 - 33. Factor o(t).
-2*(t - 26)*(t + 1)/5
Let b(f) = -f + 3. Let s be b(8). Let g(z) = 3*z**2 + 11*z + 13. Let y(p) = -4*p**2 - 16*p - 20. Let l(u) = s*y(u) - 8*g(u). Determine j, given that l(j) = 0.
-1
Suppose 245 = -0*q + 5*q. Factor -24 + q*b - 20*b**3 + 48*b**2 - 5*b + 0.
-4*(b - 3)*(b + 1)*(5*b - 2)
Let y = 443 + -671. Let k = y + 2966/13. Factor 0*h - 2/13*h**3 - k*h**4 + 0 + 4/13*h**2.
-2*h**2*(h - 1)*(h + 2)/13
Suppose -3*m**2 - 903 + 16*m - 1530 + 246 + 146*m = 0. What is m?
27
Let l be ((-497)/(-49) + -11)/((-30)/63). Let m = 9/37 - -177/185. Determine u, given that -m*u - l - 1/5*u**2 = 0.
-3
Suppose -4 = 3*b - b. Let p be (-3)/b*(10 - 8). Determine l so that 1/2*l**p + 0 - 1/2*l**2 + 1/2*l**4 - 1/2*l = 0.
-1, 0, 1
Let f(n) be the first derivative of 4*n + n**2 - 2/3*n**3 - 6. Solve f(j) = 0 for j.
-1, 2
Let a be ((-18)/(-12))/(6/8). What is z in -3*z**a + 3*z**2 - 4*z**2 = 0?
0
Let l be -28*(10/4)/5. Let c be 1/(12/l + 1). Factor 3*o**2 + 2*o**2 + 9 - 7 - c*o.
(o - 1)*(5*o - 2)
Let d(p) = 4*p**2 - 27*p + 14. Let s(t) = 7*t**2 - 55*t + 33. Let h(x) = -5*d(x) + 3*s(x). Factor h(k).
(k - 29)*(k - 1)
Let j(f) be the third derivative of -f**7/70 - f**6/8 - f**5/5 - 538*f**2. Factor j(c).
-3*c**2*(c + 1)*(c + 4)
Suppose 141*j + 272 = 209*j. Factor 0*n**2 + 0 + 1/7*n**5 + 0*n + 5/7*n**j + 6/7*n**3.
n**3*(n + 2)*(n + 3)/7
Let x(a) be the second derivative of a**7/840 + a**6/80 + a**5/20 + a**4/4 - 6*a. Let c(w) be the third derivative of x(w). Factor c(h).
3*(h + 1)*(h + 2)
Let y be 1160/(-1050) - 12/(-10). Let x(l) be the first derivative of 0*l + 8/21*l**3 - y*l**6 + 1/7*l**4 + 2 + 0*l**2 - 8/35*l**5. Find o, given that x(o) = 0.
-2, -1, 0, 1
Let 388*b + 2*b**2 - 355*b - 14 - 14*b**2 + 3*b**3 + b**4 - 11*b**2 = 0. What is b?
-7, 1, 2
Let m = -15744/2587 - -63/199. Let x = m - -706/39. Suppose -20/3*o - 10*o**3 + 4/3 + x*o**2 + 3*o**4 = 0. Calculate o.
2/3, 1
Let l = -709 + 709. Let v(z) be the first derivative of 1/9*z**3 + l*z**2 + 1/6*z**4 + 3 + 0*z + 1/15*z**5. Let v(q) = 0. What is q?
-1, 0
Let t be (8/18)/((-40)/(-180)). Suppose -5*o + 3*d - t = 0, 4*d + d - 10 = 5*o. Solve 9*a**2 - 5*a**2 - 20 - 4 + 11*a**o + 54*a = 0.
-4, 2/5
What is q in -q**4 + 9*q - q**4 - 6*q**3 - 6425*q**2 + 14*q**4 + 6413*q**2 - 3*q**5 = 0?
-1, 0, 1, 3
Let t(h) be the second derivative of 1/30*h**4 + 0*h**2 - 4/75*h**6 - 3/50*h**5 + 0 - 5*h + 0*h**3. Solve t(i) = 0 for i.
-1, 0, 1/4
Suppose -131*s + 128*s = -27. Let -8*i**4 - 74*i + 6*i**3 + s*i**2 - i**4 + 68*i = 0. Calculate i.
-1, 0, 2/3, 1
Let z(v) be the second derivative of v**5/100 + v**4/5 + 7*v**3/10 - 49*v**2/5 + 2*v - 7. Let z(o) = 0. Calculate o.
-7, 2
Suppose -10*n - 1643 = -5*n - m, 4*n + 2*m = -1306. Let l = 330 + n. Determine t so that 1/2*t**l + 3/2 - 2*t = 0.
1, 3
Let p(g) be the second derivative of g**5/5 + g**4/3 - g**3 + g**2 + 4*g. Let d(u) = -9*u**3 - 9*u**2 + 13*u - 5. Let m(f) = -2*d(f) - 5*p(f). Solve m(o) = 0.
-2, 0, 1
Let u be 1 + 9/(45/10). Let p(m) = -m + 5. Let b be p(u). Suppose -3 - 2*f**3 + 3 - 3*f**5 + b*f**2 + 5*f**5 - 2*f**4 = 0. What is f?
-1, 0, 1
Let k(y) be the third derivative of y**10/10080 - y**8/2240 + 3*y**4/8 + 11*y**2. Let d(t) be the second derivative of k(t). Factor d(r).
3*r**3*(r - 1)*(r + 1)
Let k(m) = m**2 + 5*m - 2. Let h be 2/((-6)/(-21)*-1). Let o be k(h). Factor -3*v**2 - 6*v - 3 + o + 0*v**2.
-3*(v - 1)*(v + 3)
Let d(x) be the second derivative of x**7/42 - x**6/72 - x**5/6 + 5*x**4/24 + 7*x**3/2 - 13*x. Let s(u) be the second derivative of d(u). Solve s(c) = 0 for c.
-1, 1/4, 1
Let h(n) be the first derivative of 2/35*n**5 - 4 + 2/21*n**3 + 0*n**2 + 1/7*n**4 + 0*n. Solve h(x) = 0 for x.
-1, 0
Let n be 8/12*1 + 2/(-3). Factor n*z - 3/2*z**4 + 3*z**3 - 3/2*z**2 + 0.
-3*z**2*(z - 1)**2/2
Let z be -6*14/(-336)*6. Factor 6 + z*x**2 - 6*x.
3*(x - 2)**2/2
Let o be (-78)/80*-6 + (-3)/12 - 4. Suppose o*y - 1/5*y**2 - 16/5 = 0. What is y?
4
Let c(d) = d**3 + 2*d + 1. Let h(z) = 6*z**3 + 3*z**2 - 30*z + 9. Let y(b) = -3*c(b) - h(b). Solve y(q) = 0 for q.
-2, 2/3, 1
Let u(l) be the third derivative of l**8/10080 + l**7/2700 - l**6/675 - l**5/225 - 7*l**4/6 - 2*l**2. Let o(v) be the second derivative of u(v). Factor o(h).
2*(h - 1)*(h + 2)*(5*h + 2)/15
Let z(p) be the first derivative of 36*p**5/5 - 15*p**4 - 56*p**3/3 + 24*p**2 + 32*p - 108. Solve z(y) = 0.
-2/3, 1, 2
Let x(r) = 33*r**5 - 108*r**4 + 153*r**3 - 84*r**2 + 6*r. Let s(k) = -k**5 - k**4 + k**3 + k. Let o(w) = -6*s(w) - x(w). Find p, given that o(p) = 0.
0, 2/9, 1, 2
Determine z so that 8*z + 0 - 98/5*z**2 + 2/5*z**5 - 22/5*z**4 + 78/5*z**3 = 0.
0, 1, 4, 5
Let n(h) be the second derivative of h**7/3360 - h**6/480 - h**5/120 - h**3/6 + 20*h. Let o(q) be the second derivative of n(q). What is s in o(s) = 0?
-1, 0, 4
Let q(y) be the first derivative of y**6/360 - y**5/30 - 7*y**3/3 - 18. Let s(t) be the third derivative of q(t). Determine l so that s(l) = 0.
0, 4
Solve 1 - u**2 - 13/6*u**3 + 13/6*u = 0.
-1, -6/13, 1
Let k(g) = g + 18. Let u be k(-18). Factor -23*i**2 + u*i**2 + 10*i + 3*i**2 + 15 + 5*i**4 - 10*i**3.
5*(i - 3)*(i - 1)*(i + 1)**2
Let c(o) be the first derivative of o**8/11760 - o**6/2520 + 2*o**3/3 + 17*o + 47. Let d(b) be the third derivative of c(b). Solve d(v) = 0.
-1, 0, 1
Let p(t) be the first derivative of -7225*t**4/12 + 765*t**3 + 56*t**2 + 4*t/3 - 386. Factor p(f).
-(f - 1)*(85*f + 2)**2/3
Let k(l) be the third derivative of -l**5/60 + 6*l**3 + 219*l**2. Factor k(m).
-(m - 6)*(m + 6)
Let m = 106 + -100. Let n(o) = -2*o**3 + 4*o**2 - 6*o. Let y(u) = 2*u**3 - 4*u**2 + 7*u. Let z(f) = m*y(f) + 7*n(f). Determine x so that z(x) = 0.
0, 2
Suppose 0 = 3*k - 2*h + 11, 0 = -2*k + 4*h + h. Let g be (k/(-3))/((-35)/(-42)). Factor 3/4*s**3 + 0 - 3/4*s**g + 0*s.
3*s**2*(s - 1)/4
Suppose 2 = 4*s - 3*s. Suppose r - 3 = -d, d + s*d + r - 11 = 0. Factor 43*v**5 + d*v**2 - 2*v**4 - 45*v**5 - 2*v**4 + 2*v + 0*v**2.
-2*v*(v - 1)*(v + 1)**3
Suppose 87 + 15 = -6*k. Let b be (k/51)/((-2)/18). What is n in n**2 - 1/4*n**5 + 0 - 3/2*n**b + n**4 - 1/4*n = 0?
0, 1
Let p(f) be the second derivative of -19*f + 0 + 1/3*f**3 + 5/6*f**2 + 1/36*f**4. Factor p(o).
(o + 1)*(o + 5)/3
Let n(p) = 3*p**3 + p**2 + 3*p - 1. Let i be n(2). Suppose 3*f - i = -3*l - 2*l, 5*f - 4*l = 18. What is d in 0 + 0*d**3 + 2*d**3 - 2 - 6*d**2 + 0 + f*d = 0?
1
Let w = 3 + -1. Let u be w*3/(-12)*0. What is c in u*c + 2/9*c**3 - 4/9*c**2 + 0 = 0?
0, 2
Let v be (6/8)/(3/2). Let m be (-14)/4*(-26)/182. Find p such that v*p**4 + p - m*p**2 - p**3 + 0 = 0.
-1, 0, 1, 2
Suppose 8*a + 18 = 13*a - 3*b, 2*a = -3*b - 18. Factor -2/9*y**3 + 0 + 1/9*y**5 + a*y**2 + 0*y**4 + 1/9*y.
y*(y - 1)**2*(y + 1)**2/9
Let q be 18 + (-141)/21 + -11. Find i, given that 10/7*i - q + 2/7*i**5 - 10/7*i**4 + 20/7*i**3 - 20/7*i**2 = 0.
1
Suppose -5*z + 142 = 52. Suppose z*k = 11*k. Let k*c**3 + 0 + 1/4*c**5 + 1/2*c**2 - 1/2*c**4 - 1/4*c = 0. Calculate c.
-1, 0, 1
Let o(k) be the third derivative of k**8/1176 - 3*k**7/245 + k**6/84 + 5*k**5/42 - k**4/14 - 16*k**3/21 - 15*k**2. Find c, given that o(c) = 0.
-1, 1, 2, 8
Suppose -63*a - 24 = -4*r - 60*a, -5*a - 20 = 0. Factor -1/2*m**r + 4/3*m**2 + 0 - 2/3*m.
-m*(m - 2)*(3*m - 2)/6
Suppose -1