- 96*c - 107*c**2.
-4*(c + 1)*(c + 4)**2
Suppose 2*t = -2 + 14. Let n be 8/(-21) - t/(-9). Factor 2/7*x + 0 + n*x**2.
2*x*(x + 1)/7
Determine x, given that 9*x**3 - 15*x**2 - 7*x - 8*x - 14*x**3 + 5*x = 0.
-2, -1, 0
Let x(i) = -11*i**3 + i**2 - i - 1. Let s(p) = 32*p**3 - 2*p**2 + 2*p + 2. Let a(w) = -6*s(w) - 17*x(w). Factor a(f).
-5*(f - 1)*(f + 1)**2
Let j be 0/(-3 - (-4 - 0/5)). Determine v so that 0 - 1/3*v**3 + j*v - 1/3*v**5 - 2/3*v**4 + 0*v**2 = 0.
-1, 0
Suppose 0 = -85*j + 88*j - 9. Factor 2/5 + 2/5*z**j + 6/5*z + 6/5*z**2.
2*(z + 1)**3/5
Let k = -183/4 + 46. Let i = 4/21 + 5/84. Factor -3/4*w**2 - 3/4*w**3 - k*w**4 + 0 - i*w.
-w*(w + 1)**3/4
Suppose 0 = -3*c - 3*d + 15 + 42, 2*c - 2*d = 30. Let f = -31 + 43. Factor f*r**2 + 24*r - 4*r**3 - 1 + 6*r**3 + c.
2*(r + 2)**3
Let d = -1 + -1. Let x(b) = 4*b**2 - 2. Let s(f) be the first derivative of -3*f**3 + 4*f - 2. Let g(k) = d*s(k) - 5*x(k). Solve g(y) = 0.
-1, 1
Solve 4/3*w**4 + 0 - 2/3*w - 4/3*w**2 + 2/3*w**3 = 0.
-1, -1/2, 0, 1
Let k(c) be the first derivative of 8/3*c**3 - 1 - 3/2*c**4 + 0*c - c**2. Factor k(d).
-2*d*(d - 1)*(3*d - 1)
Determine w, given that -45*w**2 - 330*w + 212*w + 173*w - 10 = 0.
2/9, 1
Let d = -354 - -2479/7. What is b in 0*b + d*b**2 - 1/7 = 0?
-1, 1
Let s be 6/30 - (-1)/(-5). Let w(j) be the first derivative of s*j**3 - 1 + 0*j + j**2 - 1/2*j**4. Factor w(g).
-2*g*(g - 1)*(g + 1)
Suppose -17 = -6*q + 7. Let p be ((0/q)/(-3))/1. Suppose -2/5*m - 2/5*m**3 + p + 4/5*m**2 = 0. What is m?
0, 1
Find p, given that 1/5*p**3 - 1/5*p + 1/5*p**2 + 0 - 1/5*p**4 = 0.
-1, 0, 1
Let p(w) be the third derivative of 2/3*w**3 + 2/105*w**7 + 6*w**2 + 0 + 2/15*w**6 + 2/5*w**5 + 2/3*w**4 + 0*w. Factor p(f).
4*(f + 1)**4
Let z(j) be the first derivative of 3*j**4/4 - 14*j**3 + 147*j**2/2 - 11. What is f in z(f) = 0?
0, 7
Determine i so that -4 + 16*i - 12*i - 5*i**2 + 4*i**2 = 0.
2
Factor -1/2*q**3 - q**4 - 1/2*q**5 + 0*q**2 + 0*q + 0.
-q**3*(q + 1)**2/2
Factor 153*n + 16 + 12 - 51*n + 21*n**2 - 7*n**2.
2*(n + 7)*(7*n + 2)
Let y(n) be the first derivative of 4*n**3/15 + 6*n**2/5 + 8*n/5 + 5. Determine r so that y(r) = 0.
-2, -1
Let p(d) = -56*d**4 + 76*d**3 - 198*d**2 + 188*d - 78. Let y(k) = -5*k**4 + 7*k**3 - 18*k**2 + 17*k - 7. Let z(x) = 6*p(x) - 68*y(x). Factor z(g).
4*(g - 2)*(g - 1)**3
Let g be 0*2*(-3)/12. Let z be 2/(2 + 3 + -2). Suppose 2/3*o**3 + 1/3 + g*o**2 - 1/3*o**4 - z*o = 0. Calculate o.
-1, 1
Suppose -3 = -c - 4*j, 2*c - 9 = -c + 2*j. Factor -h**c + 6*h**2 + 0 - 9*h**4 + 7*h**3 + 4 - 1 - 9*h + 3*h**5.
3*(h - 1)**4*(h + 1)
Let w(c) be the first derivative of -c**5/15 - c**4/3 - 2*c**3/3 + 5*c**2/2 + 10. Let f(q) be the second derivative of w(q). Factor f(z).
-4*(z + 1)**2
What is f in 0*f**3 + 0*f + 0 + 38/21*f**4 - 8/21*f**2 + 10/7*f**5 = 0?
-1, -2/3, 0, 2/5
Let h(x) be the third derivative of -x**3/6 + x**2. Let w(g) = 2*g**2 + 2*g - 6. Let q(i) = 2*h(i) - w(i). Factor q(z).
-2*(z - 1)*(z + 2)
Let o(n) be the second derivative of n**7/2520 + n**6/360 + n**5/120 + n**4/6 - 2*n. Let q(d) be the third derivative of o(d). Factor q(y).
(y + 1)**2
Let q(n) = n**3 + 2*n**2 + 5*n + 4. Let p = 3 + 3. Let x(y) = y**2 + 1. Let u(b) = p*x(b) - q(b). Factor u(c).
-(c - 2)*(c - 1)**2
Find c, given that 2*c + 21*c**3 - c - 22*c**3 + c**2 - 1 = 0.
-1, 1
Suppose -4*j = -2*s + 10, 10 = 4*s + s + 5*j. Suppose -3/2*a**2 - 3/2*a + s = 0. What is a?
-2, 1
Let z(o) be the second derivative of 2/75*o**6 - 7/100*o**5 + 0*o**2 + 2*o + 1/30*o**3 + 1/30*o**4 + 0. Factor z(g).
g*(g - 1)**2*(4*g + 1)/5
Factor 1/5*t**4 + 0 - 2/5*t**3 + 0*t**2 + 0*t.
t**3*(t - 2)/5
Let p(c) be the second derivative of 0 + 5*c + 0*c**3 + 1/75*c**6 - 1/30*c**4 + 0*c**2 + 0*c**5. Factor p(t).
2*t**2*(t - 1)*(t + 1)/5
Suppose 0 = -4*j + 22 - 2, 0 = 3*g + 5*j - 88. Let y be 17 - g - 13/(-3). Find d, given that 4/3*d**5 + y*d**2 + 0 + 0*d - 4/3*d**3 - 1/3*d**4 = 0.
-1, 0, 1/4, 1
Suppose -2*o = 3*o - 5. Suppose -1 = -g + o. Factor -3*j**2 - 3*j**4 + j**g + 5*j**4.
2*j**2*(j - 1)*(j + 1)
Let w(m) be the third derivative of 1/150*m**5 + 0*m**3 + 3*m**2 + 0*m + 1/600*m**6 + 0 + 1/120*m**4. Factor w(q).
q*(q + 1)**2/5
Factor 0 + 4/9*y - 2/9*y**4 + 2/9*y**2 - 4/9*y**3.
-2*y*(y - 1)*(y + 1)*(y + 2)/9
Let j(f) = -f + 3*f - 2*f - f + f**2. Let y be j(3). What is q in y*q**2 + 2*q - 2*q - 7*q**2 = 0?
0
Find i, given that -6/19*i + 0 + 2/19*i**2 = 0.
0, 3
Let s(d) be the first derivative of -3*d**3/8 - 57*d**2/16 - 9*d/4 + 4. Factor s(b).
-3*(b + 6)*(3*b + 1)/8
Let o(z) be the second derivative of -1/45*z**6 + 0 + 0*z**5 + 1/18*z**4 + 0*z**3 + 7*z + 0*z**2. Factor o(i).
-2*i**2*(i - 1)*(i + 1)/3
Let t(l) be the second derivative of 0 + 1/36*l**4 + 1/9*l**3 + 3*l + 1/6*l**2. Factor t(y).
(y + 1)**2/3
Let u(l) = -l**2 - l + 3. Let m = -10 - -10. Let r be u(m). Find v such that -2*v**2 - 1/2*v**r - 5/2*v - 1 = 0.
-2, -1
Let r = 202/3 + -67. Let b(z) be the first derivative of r*z**3 + 1/2*z**2 + 2 - z - 1/4*z**4. Suppose b(y) = 0. What is y?
-1, 1
Suppose -4*s + 8 = 3*v - 7*v, 3*v - 3 = 0. Let h(c) be the third derivative of -1/120*c**5 + 0*c**s + 0 + 0*c + 1/48*c**4 + 2*c**2. Factor h(j).
-j*(j - 1)/2
Let z be -3 - 236/(-16) - -1. Let w = 263/20 - z. Factor -w*o**2 + 2/5*o + 0.
-2*o*(o - 1)/5
Let z(r) be the third derivative of 7*r**5/60 + 5*r**4/24 + 7*r**2. Let k(s) = 20*s**2 + 14*s. Let n(d) = 4*k(d) - 11*z(d). Suppose n(q) = 0. What is q?
-1/3, 0
Let h(f) be the second derivative of -1/18*f**5 + 0 - 7/54*f**4 + 0*f**2 - 2/27*f**3 - 4*f. Factor h(w).
-2*w*(w + 1)*(5*w + 2)/9
Let y(g) be the second derivative of -g**7/1470 + g**6/420 - g**4/84 + g**3/42 + 4*g**2 - g. Let v(s) be the first derivative of y(s). Let v(z) = 0. What is z?
-1, 1
Solve -117*y**2 + 12*y + 121*y**2 + 7 + 1 = 0 for y.
-2, -1
Suppose -18 = -2*s - 4*s. Let h(a) be the second derivative of -1/30*a**5 + 1/12*a**2 + 1/12*a**4 - 4*a + 1/180*a**6 + 0 - 1/9*a**s. Factor h(k).
(k - 1)**4/6
Let n be -10*2/(-70)*104. Let 40*s**3 + 28*s**4 + 0 + 32/7*s - n*s**2 = 0. Calculate s.
-2, 0, 2/7
Let i(r) be the first derivative of 6 - 1/7*r**2 + 0*r + 1/14*r**4 + 0*r**3. Factor i(w).
2*w*(w - 1)*(w + 1)/7
Let z(b) be the first derivative of b**5 + 5*b**4/2 - 5*b**3 - 10*b**2 + 20*b + 7. Determine s, given that z(s) = 0.
-2, 1
Let j(o) be the second derivative of -o**6/120 + o**5/60 - o**2 - 2*o. Let i(r) be the first derivative of j(r). Determine x so that i(x) = 0.
0, 1
Let w(k) be the third derivative of 1/60*k**5 + 0*k**3 + 0*k + 0 - 1/240*k**6 - 1/48*k**4 + 2*k**2. Factor w(u).
-u*(u - 1)**2/2
Suppose 0 = 69*o - 67*o. Let s be (-1)/(-3) - 2/(-6). Solve o*r**2 + 0*r + 0 + s*r**3 + 2/3*r**4 = 0.
-1, 0
Let w(n) = n**3 - n**2 + 4. Let h be w(0). Let s(i) be the second derivative of 2/15*i**3 - 1/30*i**h + i + 0*i**2 + 0. Solve s(p) = 0.
0, 2
Let h(f) be the first derivative of 1/4*f**2 + 9/8*f**4 - f**3 + 0*f - 1. Factor h(r).
r*(3*r - 1)**2/2
Let c(t) be the first derivative of 2*t**5/15 - t**4/3 - 2*t**3/9 + 2*t**2/3 - 7. Factor c(k).
2*k*(k - 2)*(k - 1)*(k + 1)/3
Suppose 4*q - 2*g - 1 + 3 = 0, g - 1 = q. Let o(x) be the second derivative of -1/5*x**6 - 2*x**3 - x**2 - x**5 + q - 2*x**4 - 2*x. Factor o(r).
-2*(r + 1)**3*(3*r + 1)
Let m(i) = 2*i**4 - i**3 - 2*i**2 - 1. Let y(l) = l**4 - 1. Let u(h) = -2*m(h) + 2*y(h). Factor u(j).
-2*j**2*(j - 2)*(j + 1)
Let n(l) be the third derivative of 0*l + 0 + 1/6*l**5 + 3*l**2 - 1/30*l**6 - 1/24*l**4 - 4/105*l**7 + 5/336*l**8 - 1/3*l**3. Determine d, given that n(d) = 0.
-1, -2/5, 1
Let m = -15 - -16. Let r(o) be the first derivative of 2/3*o**3 + 0*o**2 - 2*o + m. What is x in r(x) = 0?
-1, 1
Solve 160/3*i**2 + 0 - 44*i**3 - 64/3*i - 4/3*i**5 + 40/3*i**4 = 0.
0, 1, 4
What is d in 5*d**2 - 38*d**2 - 34*d - 4*d**3 - 500 - 266*d - 27*d**2 = 0?
-5
Let l be 3 - (0/(-7))/7. Suppose 0*n**2 + 0 + 0*n - 1/4*n**l + 0*n**4 + 1/4*n**5 = 0. What is n?
-1, 0, 1
Let f(j) be the first derivative of 5*j**3/3 - 5*j + 11. Factor f(s).
5*(s - 1)*(s + 1)
Determine w so that -18/13*w**2 + 4/13 - 14/13*w = 0.
-1, 2/9
Let a be (1/25*4)/(3/390). Factor -50*x**4 + 36*x**2 - 10*x**3 + a*x + 16/5.
-2*(x - 1)*(5*x + 2)**3/5
Suppose 4/3 - 14/3*h - 6*h**2 = 0. What is h?
-1, 2/9
Let m(r) be the first derivative of -r**4/24 + r**3/2 - 9*r**2/4 + 3*r + 2. Le