-2 - 50/(-18). Let t(g) = -7*g**2 + 2*g + 9. Let p(c) = c**2 - c. Let x(k) = q*t(k) + 24*p(k). Factor x(w).
3*(w - 3)**2
Let d = -142 + 145. Let c(j) be the first derivative of -2 + 0*j**2 - 1/12*j**4 - 1/3*j**d + 4/3*j. Factor c(f).
-(f - 1)*(f + 2)**2/3
Factor -2/21*a**2 - 722/21 + 76/21*a.
-2*(a - 19)**2/21
Let x = -5653 - -5656. Determine v so that 14/5*v**x - 34/5*v - 32/5*v**2 + 12/5 = 0.
-1, 2/7, 3
Let q be (-171)/2*(639/135 - 5). Determine h, given that 39/5*h**3 - q*h**2 + 24/5 - 54/5*h**5 + 117/5*h**4 - 12/5*h = 0.
-2/3, 1/2, 1, 2
Let m = 1802881/480 - 3756. Let f(o) be the third derivative of -m*o**5 - 3*o**2 + 0 + 0*o**3 + 1/96*o**4 + 0*o. Factor f(l).
-l*(l - 2)/8
Let n be (-5 - -4)*6/((-9)/3). Factor 4*p - 3*p + p + p**2 - 1 - 2*p**n.
-(p - 1)**2
Let o(g) be the second derivative of g**7/112 - 7*g**6/80 + 9*g**5/32 - 13*g**4/32 + g**3/4 + 254*g - 1. Let o(r) = 0. What is r?
0, 1, 4
Solve 0*r**4 + 4/3*r**2 + 2/9*r**5 - 14/9*r**3 + 0*r + 0 = 0.
-3, 0, 1, 2
Let t(q) be the third derivative of 8*q**2 - 11/90*q**5 + 0*q + 4/9*q**3 + 1/20*q**6 - 4/9*q**4 + 0. Find w such that t(w) = 0.
-1, 2/9, 2
Factor 0*f**2 + 0 - 1/2*f**5 + 0*f + 2*f**4 - 2*f**3.
-f**3*(f - 2)**2/2
Let c(f) be the first derivative of 4/3*f**3 - 2*f**2 + 14 - 4/5*f**5 + f**4 + 0*f. Factor c(b).
-4*b*(b - 1)**2*(b + 1)
Let a(b) be the third derivative of -b**6/90 - b**5/15 - b**4/6 - 37*b**3/6 - 2*b**2. Let s(j) be the first derivative of a(j). Factor s(x).
-4*(x + 1)**2
Let v(i) be the second derivative of i**5/30 - 23*i**4/18 + 40*i**3/3 + 48*i**2 + 66*i. Factor v(p).
2*(p - 12)**2*(p + 1)/3
Let q be ((-3)/476)/((-1)/(-9518)*-9). Let k = q - -1/714. Factor 4/3*h + k*h**2 + 25/3*h**3 + 0.
h*(5*h + 2)**2/3
Let v = 6 - 2. Find o such that -4 - v*o - o**2 + o - o + 0*o = 0.
-2
Let y(x) be the first derivative of 0*x - 2 + 1/8*x**4 + 0*x**2 + 1/48*x**6 + 0*x**3 - 1/8*x**5. Let y(b) = 0. What is b?
0, 1, 4
Let f(m) = m**3 + 6*m**2 - 70*m + 26. Let o be f(-12). Factor 0 - 4/7*h + 10/7*h**o.
2*h*(5*h - 2)/7
What is y in 6*y**4 - 3/2*y**5 - 6*y**3 + 0*y**2 + 0*y + 0 = 0?
0, 2
Let r(q) = -3*q**4 + 15*q**3 - 18*q**2 - 90*q - 9. Let a(j) = -j**4 + 8*j**3 - 9*j**2 - 46*j - 4. Let o(s) = -9*a(s) + 4*r(s). Determine f, given that o(f) = 0.
-3, 0, 2
Let d(w) = 55*w**4 + 8325*w**3 + 229070*w**2 - 171340*w + 31360. Let i(u) = -u**4 - u**3 + u**2 + u. Let t(g) = d(g) - 20*i(g). Suppose t(x) = 0. What is x?
-56, 1/3, 2/5
Let t(d) = 7*d**3 - 6*d**2 + 5*d + 6. Let o be (1/3)/(1/(-15)). Let l(u) = 6*u**3 - 5*u**2 + 4*u + 5. Let j(v) = o*t(v) + 6*l(v). Factor j(x).
x*(x - 1)*(x + 1)
Suppose 7*n + 5*g + 9 = 4*n, -12 = 4*g. Suppose 3*j**n + 6*j + 114 - 114 = 0. Calculate j.
-2, 0
Let m(i) be the second derivative of -i**5/160 + i**4/16 - 3*i**3/16 + i**2/4 - 2*i - 3. Factor m(l).
-(l - 4)*(l - 1)**2/8
Let i(t) = -2*t**3 - 36*t**2 - 42*t - 136. Let y be i(-17). Find u such that -2/13*u**2 - 4/13*u + y = 0.
-2, 0
Find n such that -3920/3 - 95*n**2 - 1400*n - 5/3*n**3 = 0.
-28, -1
Suppose -y - 2*b = 2*b - 5, 3*b = 2*y - 10. Let n = -2 + y. Suppose -6*x**2 + 8*x + x**3 + 4*x - n*x = 0. Calculate x.
0, 3
Suppose 3*w = 3*p - 3, 0*w + 3*w - 1 = p. Let -p*g**2 - g**5 + g + 2*g**4 + 0*g + 0*g**4 = 0. Calculate g.
-1, 0, 1
Let o(f) be the second derivative of f**4/12 + 2*f**3/3 - 5*f**2/2 - f - 6. Find z, given that o(z) = 0.
-5, 1
Let t(v) be the second derivative of 5/24*v**4 + 16*v + 0*v**2 + 0 - 5/12*v**3. Factor t(a).
5*a*(a - 1)/2
Determine w so that -40*w + 4*w**3 - 5 - 2*w**3 + 42*w**2 - 40*w**2 + 5 = 0.
-5, 0, 4
Let y be 77/2970*(-1 - (-34)/28). Let m(l) be the third derivative of 0*l**4 + 0*l + 0 + 0*l**5 - 1/630*l**7 - y*l**6 + 4*l**2 + 0*l**3. Factor m(x).
-x**3*(x + 2)/3
Let c(v) = v**2 + 28*v + 189. Let t be c(-11). Let x(g) be the first derivative of 1/6*g**t + 4 + 0*g + 1/12*g**4 + 2/9*g**3. Factor x(q).
q*(q + 1)**2/3
Let n = 2635 - 7901/3. Factor -2/3*u**2 + n*u + 0.
-2*u*(u - 2)/3
Let a be ((-2)/3)/((-2)/3). Let w(q) = 172*q - 93*q - q**5 - 84*q + q**3. Let s(t) = t. Let l(f) = a*w(f) + 5*s(f). Factor l(d).
-d**3*(d - 1)*(d + 1)
Suppose -2*j = -5*t - 25, -5*j + 10*j - 51 = t. Suppose -3*y + 8 = -y. Factor 4*z**3 + 6*z**5 - 7*z**y - 2*z**5 - 3*z**4 - j*z**5.
-2*z**3*(z + 2)*(3*z - 1)
Let b(s) be the third derivative of -s**5/45 - 25*s**4/18 - 16*s**3/3 - 31*s**2 - 2. Factor b(k).
-4*(k + 1)*(k + 24)/3
Let x(f) = -3*f**3 - f - 2. Let l(n) = -4*n**4 - 14*n**3 + 168*n**2 - 302*n + 164. Let u(q) = -l(q) - 2*x(q). Let u(m) = 0. What is m?
-10, 1, 2
Let k(q) be the third derivative of 25*q**2 - 1/18*q**4 - 5/18*q**3 + 0 + 1/180*q**5 + 0*q. Solve k(v) = 0 for v.
-1, 5
Let r = -17 - -21. Let q be 0 + 4*(r - 3). Factor p**5 + 0*p**5 + 2*p**4 - q*p**3 + 2 - 4*p**2 + 13*p + p**5 - 11*p.
2*(p - 1)**2*(p + 1)**3
Suppose -25*j - 13*j = 3*j + 21*j. Determine o so that 3/4*o**4 + 6*o**2 + 15/4*o**3 + 3*o + j = 0.
-2, -1, 0
Suppose 176/9*k - 2/9*k**3 - 28/3*k**2 + 0 = 0. What is k?
-44, 0, 2
Factor -1/3*u**2 - 5*u - 56/3.
-(u + 7)*(u + 8)/3
Let l(z) = 6*z**5 + 3*z**4 + 10*z**3 + 10*z**2 - 15*z. Let u(s) = -s**5 - s**4 - s**3 + s. Let c(b) = -3*l(b) - 21*u(b). Factor c(g).
3*g*(g - 1)**2*(g + 2)*(g + 4)
Let p(i) be the second derivative of i**5/100 - i**4/3 + 10*i**3/3 + 84*i. Determine h so that p(h) = 0.
0, 10
Find p, given that 2/9*p**2 + 8/9*p + 2/3 = 0.
-3, -1
Let -64/5*f**3 + 68/5*f**2 + 0*f - 4/5*f**4 + 0 = 0. What is f?
-17, 0, 1
Let u be -5*(-16)/20 + 0 + -1. Factor 2*d**u - 22*d**2 + 80 + 120*d + 67*d**2 + 3*d**3.
5*(d + 1)*(d + 4)**2
Let b(m) be the second derivative of -2/15*m**6 + 0*m**2 + 0*m**4 - 1/3*m**3 + 3/10*m**5 + 0 - 4*m. Factor b(q).
-2*q*(q - 1)**2*(2*q + 1)
Let n = -75327/5 + 15071. Find b, given that -2/5*b**2 - 98/5 - n*b = 0.
-7
Let l(h) be the second derivative of -1/45*h**6 + 1/10*h**5 + 0*h**3 + 0 - 1/9*h**4 - 14*h + 0*h**2. What is y in l(y) = 0?
0, 1, 2
Let k(n) be the first derivative of -3*n**5/2 - 3*n**4 + 2*n**3 + 82. Factor k(c).
-3*c**2*(c + 2)*(5*c - 2)/2
Factor -5*b**2 + 21*b**3 - 431*b**4 + b**3 - 51*b**2 + 429*b**4.
-2*b**2*(b - 7)*(b - 4)
Let z(y) be the second derivative of y**6/36 + y**5/135 - 25*y**2 + 34*y. Let v(n) be the first derivative of z(n). Find c such that v(c) = 0.
-2/15, 0
Let j(a) be the third derivative of -1/15*a**3 + 0 - 1/150*a**5 - a**2 + 0*a + 1/30*a**4. Suppose j(v) = 0. What is v?
1
Let z(r) be the third derivative of r**8/420 + r**7/150 - 19*r**6/300 + r**5/300 + 17*r**4/60 - 4*r**3/15 - 354*r**2. What is d in z(d) = 0?
-4, -1, 1/4, 1, 2
Let j(x) = -6*x**2 - 1036*x + 690. Let a(i) = 28*i**2 + 5180*i - 3448. Let q(y) = -3*a(y) - 16*j(y). Factor q(l).
4*(l + 87)*(3*l - 2)
Let d(s) = s**2 - 5*s - 1. Let g(f) = f - 13. Let j be g(-5). Let y(z) = -3*z**2 + 18*z + 3. Let m(b) = j*d(b) - 5*y(b). Find v such that m(v) = 0.
-1, 1
Let w be (130/52*(-8)/30)/(-4). Let k(i) be the third derivative of 0 + 1/48*i**5 + 0*i - 1/6*i**4 - 5*i**2 + w*i**3 + 7/480*i**6. Suppose k(d) = 0. What is d?
-2, 2/7, 1
Let c(f) be the first derivative of -10 + 0*f - 1/6*f**4 + 2/9*f**3 + 2/3*f**2. Factor c(k).
-2*k*(k - 2)*(k + 1)/3
Let x = 511 + -508. Let m(l) be the second derivative of -7/54*l**4 + 0*l**2 + 0 - 2/27*l**x + 6*l. Factor m(h).
-2*h*(7*h + 2)/9
Let j(m) = 2*m**2 - 19*m - 7. Let f be j(10). Let b(q) be the first derivative of q**f + 1 + 0*q + 3/2*q**2. Factor b(v).
3*v*(v + 1)
Let m(h) = 5*h**3 + 518*h**2 - 2*h - 512. Let p(q) = -q**2 - q - 1. Let r(g) = m(g) + 3*p(g). Let r(z) = 0. Calculate z.
-103, -1, 1
Suppose m - 14*m = 22*m. Let p(w) be the second derivative of 1/3*w**3 + m - 3*w**2 - 6*w + 1/3*w**4. Factor p(t).
2*(t - 1)*(2*t + 3)
Factor 8/3*i + 0 + 4/3*i**2.
4*i*(i + 2)/3
Factor 0 + 0*h - 16/17*h**2 + 2/17*h**3.
2*h**2*(h - 8)/17
Let v be (9 + -6)/(-1 + -8) + -1 + 2. Factor 0 - 2/3*d - 2/3*d**2 + v*d**3 + 2/3*d**4.
2*d*(d - 1)*(d + 1)**2/3
Let y(n) = n**2 - 9*n + 25. Let a be y(5). Factor 8*d**3 + 13*d**3 - 5*d**4 - a*d**2 - 11*d**3.
-5*d**2*(d - 1)**2
Let j = 5183 + -5181. Factor 3/4*t**3 - 3/4*t**j + 3 - 3*t.
3*(t - 2)*(t - 1)*(t + 2)/4
Let z(t) = 6*t**2 - 1065*t + 13080. Let i(v) = -v**2 + 152*v - 1869. Let q(d) = 15*i(d) + 2*z(d). Find c such that q(c) = 0.
25
Let v(y) be the first derivative of -16 + 4/15*y**3 + 14/5*y**2 + 24/5*y