 h(j) = j**2 + j. Let o(d) = 2*h(d) + x(d). Let u be o(4). Suppose -u*c + 18 - 20*c + 17*c**2 + 33*c**2 = 0. What is c?
3/5
Factor 8 - 112 + 2*g**3 + 54*g**2 + 484*g - 436*g.
2*(g - 1)*(g + 2)*(g + 26)
Solve -8/17*f - 2/17*f**3 + 0 + 8/17*f**2 = 0 for f.
0, 2
Let m = -491/3 + 165. Let p = 227/141 + -13/47. Suppose -p*z + m*z**2 + 0 = 0. What is z?
0, 1
Factor -7*b**2 - 6 + 6*b - 10*b - 3*b**2 + 12*b**2.
2*(b - 3)*(b + 1)
Let c(d) be the first derivative of -d**4/16 + d**3/2 + 19*d**2/8 - 6*d - 479. Find z such that c(z) = 0.
-3, 1, 8
Let k(m) be the second derivative of 0*m**2 + 6/5*m**5 + 2/3*m**3 + 9*m - 1/3*m**6 + 0 - 3/2*m**4. Solve k(l) = 0 for l.
0, 2/5, 1
Let h(o) = -2*o**2 - 10*o - 1. Let y be h(-4). Let q = y + -4. Determine r, given that q*r**2 + 9*r**2 - 4*r**4 + 2*r - 2*r - 8*r = 0.
-2, 0, 1
Let u be (15/10*(-8)/28)/(66/(-88)). Factor 144/7 + u*b**2 - 48/7*b.
4*(b - 6)**2/7
Let d(n) be the first derivative of 2*n**3/15 - 2*n**2/5 - 16*n/5 + 85. Factor d(k).
2*(k - 4)*(k + 2)/5
Let 76/3*v**3 + 64/3*v + 16/3 + 4/3*v**5 + 28/3*v**4 + 100/3*v**2 = 0. What is v?
-2, -1
Let m(g) = 2*g**2 - 18*g - 50. Let i(f) = -3*f**2 + 37*f + 101. Let x(z) = -2*i(z) - 5*m(z). Find y, given that x(y) = 0.
-2, 6
Let g(c) be the second derivative of -c**5/20 + c**3/2 - 21*c**2/2 - 15*c. Let d(y) be the first derivative of g(y). Determine z so that d(z) = 0.
-1, 1
Suppose -27*t + 102 = 24*t. Let h(g) be the second derivative of -t*g + 0 - 1/3*g**2 + 4/27*g**3 - 1/54*g**4. Factor h(y).
-2*(y - 3)*(y - 1)/9
Factor -50*b**2 + 100*b + 4*b**3 + 143*b**2 - 53*b**2.
4*b*(b + 5)**2
Suppose -15/4*v**2 + 4*v - 1/4*v**3 + 0 = 0. What is v?
-16, 0, 1
Let z(p) = -p**3 - 4*p**2 + 4*p - 1. Let c be z(-5). Determine l so that 60 + 2*l**3 - 4*l**2 + 7*l + 7*l - c*l**3 - 68 = 0.
-4, 1
Let l(f) = 10*f**2 + 34*f + 12. Let x(n) = -n**2 - n - 1. Let k(u) = l(u) + 12*x(u). Solve k(z) = 0.
0, 11
Let t(z) be the first derivative of -3*z**4/8 + z**3 + 21*z**2/4 + 6*z + 222. Factor t(q).
-3*(q - 4)*(q + 1)**2/2
Suppose -20*o**2 - 1 - 25*o**3 - 27*o**4 + 1 + 8*o**5 - 43*o**4 - 73*o**3 = 0. What is o?
-1, -1/4, 0, 10
Let n(g) be the third derivative of 1/210*g**7 + 1/180*g**5 + 0*g**3 + 0 - 1/1008*g**8 - 1/120*g**6 - 7*g**2 + 0*g**4 + 0*g. Factor n(k).
-k**2*(k - 1)**3/3
Suppose b - 3 - 11 = -5*r, -3*b + 8 = -2*r. Let -40/7*q - 50/7*q**r - 8/7 = 0. Calculate q.
-2/5
Let y be (29/(-5) + 4)/(6/30). Let v be (1*-3 - y/3)/(-2). Factor 2/3*n**3 - 2*n + v*n**2 - 4/3.
2*(n - 2)*(n + 1)**2/3
Let l(b) be the second derivative of -b**4/84 - b**3/7 + b**2/2 + 11*b + 2. Suppose l(d) = 0. Calculate d.
-7, 1
Let d(o) = o**2 + 17*o - 200. Let h be d(8). Suppose 9*s = 8*s. Factor -1/2*t**3 + s - 1/2*t**5 + 0*t + h*t**2 + t**4.
-t**3*(t - 1)**2/2
Let v(y) be the first derivative of y**6/6 + 7*y**5/4 + 25*y**4/4 + 65*y**3/6 + 10*y**2 - y - 20. Let c(r) be the first derivative of v(r). Factor c(g).
5*(g + 1)**3*(g + 4)
Suppose 3*j + 5 = 4*v, -2*v + 7 = -4*j + 3*v. Let q be (-8)/j + -1 + (-3)/(-9). Factor -8/11*i**3 - 2/11*i**4 + 0 - 10/11*i**q - 4/11*i.
-2*i*(i + 1)**2*(i + 2)/11
Let z(h) be the first derivative of 0*h**4 + 0*h**3 - 1/120*h**5 + 6*h + 0*h**2 - 1/180*h**6 + 3. Let q(v) be the first derivative of z(v). Factor q(b).
-b**3*(b + 1)/6
Let z(n) = 4*n**3 + 13*n**2 - 17*n + 5. Let i = 1 + 3. Let d(j) = 2*j**3 + 6*j**2 - 8*j + 2. Let r(t) = i*z(t) - 10*d(t). Factor r(f).
-4*f*(f - 1)*(f + 3)
Factor -2/11*d**3 - 2/11*d**2 + 0 + 24/11*d.
-2*d*(d - 3)*(d + 4)/11
Suppose -7*l - 2 = 12. Let y(z) = z**5 + 6*z**4 - 6*z**3 + 5*z**2 + 3. Let j(x) = 6*x**4 - 6*x**3 + 4*x**2 + 2. Let h(q) = l*y(q) + 3*j(q). Factor h(a).
-2*a**2*(a - 1)**3
Let f(d) = 16*d**2 + 12*d - 10. Let a(x) = 13*x**2 + 12*x - 11. Let m(v) = -6*a(v) + 5*f(v). Factor m(c).
2*(c - 4)*(c - 2)
Suppose 40*i = -2473 + 2553. Factor -2/15*z**i - 8/15*z + 0.
-2*z*(z + 4)/15
Let u(z) be the first derivative of 2*z**3/3 - 13*z**2 - 109. Solve u(f) = 0 for f.
0, 13
Let m(y) be the second derivative of -7*y + 1/12*y**6 + 4/3*y**3 - y**4 + 0 + 3*y**2 + 1/10*y**5. Let f(h) be the first derivative of m(h). Factor f(s).
2*(s - 1)*(s + 2)*(5*s - 2)
Let y(r) be the first derivative of 1/5*r**5 + 8/3*r**3 - 15 + 0*r + 5/4*r**4 + 2*r**2. Factor y(i).
i*(i + 1)*(i + 2)**2
Let l = 5/46 - -13/92. Let w(g) be the second derivative of 0 - l*g**4 - 1/2*g**3 + 0*g**2 - 4*g. Find b, given that w(b) = 0.
-1, 0
Suppose 0 = -5*r + 2*d + 2, -r - 2*d + 2 = -4*r. Let f(m) be the first derivative of -1/15*m**3 - 2/5*m - r + 3/10*m**2. Factor f(l).
-(l - 2)*(l - 1)/5
Let v be ((-2)/(-6))/((-6)/(-2772)*7). Let k = -22 + v. Suppose 324*t**4 - 486*t**5 - 72*t**3 + 16/3*t**2 + k + 0*t = 0. Calculate t.
0, 2/9
Let w(g) be the third derivative of -g**4/12 - g**3 - 3*g**2. Let q be w(-4). What is c in 3*c**5 - 3*c**3 - q*c**2 - c**2 + 3*c**2 = 0?
-1, 0, 1
Let x(i) be the second derivative of i**6/6 - 7*i**5/4 - 5*i**4/4 + 95*i**3/6 + 35*i**2 + 217*i. Factor x(y).
5*(y - 7)*(y - 2)*(y + 1)**2
Let c be 27/2*10 - 3. Let f = -920/7 + c. What is x in -f*x**2 - 16/7*x - 12/7 = 0?
-3, -1
Suppose -89*g + 85*g + 16 = 0. Suppose -a - 4*y - g = 0, 4*a + y = 6*a - 1. Factor a + 0*w**2 + 0*w - 2/3*w**3 - 1/3*w**4.
-w**3*(w + 2)/3
Factor -372/5*g + 17298/5 + 2/5*g**2.
2*(g - 93)**2/5
Let a be (-2)/(-126) + 0/5. Let d = 373/315 + a. Determine r, given that d*r**2 + 0 - 4/5*r - 2/5*r**3 = 0.
0, 1, 2
Let v(l) = l**3 - 5*l**2 - 7*l. Let g be v(6). Let c be 29 + 3/g*2. Solve -c - 4*k**2 + 28 + 2*k**3 = 0.
0, 2
Let f(d) = 11*d**2 - d + 14. Let z(y) = 2. Let c(v) = 2*f(v) - 14*z(v). Factor c(l).
2*l*(11*l - 1)
Let t = 543 + -3795/7. Factor -1/7 - k - t*k**2.
-(k + 1)*(6*k + 1)/7
Let p(a) = a**2 + 18*a + 17. Let h = -212 + 195. Let m be p(h). Suppose -4/3*j - 4/3*j**2 + m + 2/3*j**4 + j**3 - 1/3*j**5 = 0. Calculate j.
-1, 0, 2
Suppose -4*t = -3*m + 10, 2 = 59*t - 64*t + 2*m. Factor 2/7*a**t + 48/7*a + 288/7.
2*(a + 12)**2/7
Let t(y) = 15*y + 107. Let p be t(-7). Suppose -4/7 + 4/7*f**p - 4/7*f + 4/7*f**3 = 0. Calculate f.
-1, 1
Suppose -f - 3*g - 1 - 8 = 0, 0 = g + 4. Factor -7/4*k**4 + 0 - 1/2*k**2 + 0*k + 9/4*k**f.
-k**2*(k - 1)*(7*k - 2)/4
Let a(o) be the third derivative of -7*o**6/360 - 11*o**5/72 - 19*o**4/72 + o**3/12 - 106*o**2. Let a(p) = 0. What is p?
-3, -1, 1/14
Let g(y) be the first derivative of 15*y**4/8 - 23*y**3/2 - 15*y**2/2 - 258. Factor g(h).
3*h*(h - 5)*(5*h + 2)/2
Determine p so that 0*p**2 + 0 + 4/5*p**4 + 2/5*p**5 + 2/5*p**3 + 0*p = 0.
-1, 0
Determine j, given that 12 - 20/3*j**2 - 14/3*j - 2/3*j**3 = 0.
-9, -2, 1
Suppose -3*u + 12 = u - 3*y, 0 = -4*u + y + 12. Let 6*o**2 - 3 - 5*o**2 + u - 4 = 0. Calculate o.
-2, 2
Let o(f) be the second derivative of f - 1/240*f**5 + 0*f**3 - 1/32*f**4 + 7/2*f**2 + 0. Let d(r) be the first derivative of o(r). Factor d(n).
-n*(n + 3)/4
Let i(n) be the first derivative of -n**6/6 + 9*n**5/5 - 31*n**4/4 + 17*n**3 - 20*n**2 + 12*n - 332. Let i(x) = 0. Calculate x.
1, 2, 3
Factor -11/4*c**2 - 1/4*c**4 + 0 + 3/2*c + 3/2*c**3.
-c*(c - 3)*(c - 2)*(c - 1)/4
Let w be (34/(-204))/(14/(-4)). Let t(j) be the first derivative of 0*j**5 - 3/14*j**4 - 4/21*j**3 + 0*j + w*j**6 - 5 + 0*j**2. Let t(g) = 0. Calculate g.
-1, 0, 2
Suppose 2*w**2 - 10 - 314 - 32*w + 42*w + 92*w = 0. What is w?
-54, 3
Find z such that -5*z**3 + 309*z**2 + 106 - 174 - 86*z**2 + 62*z**2 + 5*z - 217 = 0.
-1, 1, 57
Let q = 370 + -368. Let o(y) be the third derivative of -13*y**q + 1/40*y**5 + 0 + 1/4*y**3 - 1/8*y**4 + 0*y. Factor o(c).
3*(c - 1)**2/2
Let n(s) be the second derivative of 25/3*s**3 - 8/3*s**6 - 11*s + 10*s**5 + 0 - 55/4*s**4 - 5/2*s**2. Factor n(q).
-5*(q - 1)**2*(4*q - 1)**2
Let y(l) = -9*l + 3 + 0*l**2 - 2*l**2 + 1 + l**3 + 2. Let c be y(4). Factor -6/7*r - 2/7*r**c + 0.
-2*r*(r + 3)/7
Let c = 0 + 0. Suppose -2*x + 0 + 4 = c. Factor 3*j - j - 3*j**x + 4*j + 0*j**2.
-3*j*(j - 2)
Let v(d) = 4*d**2 - 12*d + 72. Let r be v(9). Let s = 288 - r. Factor s*q**3 + 0 - 12/5*q**2 + 4/5*q**4 - 8/5*q.
4*q*(q - 2)*(q + 1)**2/5
Let i(d) = -16*d**2 + 1 - 8*d + 7*d**2 + 10*d**2. Let u be i(8). Factor -3*n**2 + 1 + n**3 + 2*n**3 - u.
3*n**2*(n - 1)
Suppose 5*b + 19 - 44 = 0. Solve -3*i**3 - i + 2*i**2 + 3*i**3 - 33*i**5 - 2*i**4 + 34*i**b = 0 for i.
-1, 0, 1
Suppose 5*u + y = 25, -3