*7/3920 - v**6/840 - v**5/15 - 4*v**2. Let w(c) be the third derivative of z(c). Factor w(d).
-3*(d + 1)*(d + 2)/7
Let t(v) be the third derivative of 7*v**2 + 0*v**3 - 1/200*v**6 - 3/100*v**5 - 1/20*v**4 + 0 + 0*v. Factor t(g).
-3*g*(g + 1)*(g + 2)/5
Suppose -4 = -0*y - 2*y - 3*k, k + 12 = 2*y. Factor 0 - 1/5*f**2 + 1/5*f**4 + 1/5*f**y - 1/5*f**3 + 0*f.
f**2*(f - 1)*(f + 1)**2/5
Let y(f) = f**3 - 3*f**2 + 2. Let o be (0 + -3)*2/6. Let z be (-2)/(-2*1)*o. Let l(i) = i - 1. Let h(w) = z*y(w) - 3*l(w). Solve h(k) = 0 for k.
1
Let u(p) = -9*p - p**2 + 6*p**2 + 5*p**2 + p**2 - 11 - 13*p**3. Let z(c) = -7*c**3 + 6*c**2 - 5*c - 6. Let s(r) = 6*u(r) - 11*z(r). Factor s(y).
-y*(y - 1)*(y + 1)
Let v(q) be the third derivative of 0 + 0*q - 1/420*q**7 + q**2 - 1/60*q**6 - 1/24*q**5 + 0*q**3 - 1/24*q**4. Factor v(j).
-j*(j + 1)**2*(j + 2)/2
Let k = -15 - -46/3. Let y(s) = 4*s - 54. Let b be y(14). Find j such that k*j**3 + 1/3 + j + j**b = 0.
-1
Let y = -4 + 10. Let w be (-5)/y*9/(-10). Suppose w*p**2 + 1/2*p + 0 + 1/4*p**3 = 0. Calculate p.
-2, -1, 0
Suppose 3 = -5*k - 5*a + a, -4*k + a = -6. Let w(u) = u**3. Suppose i - 2 = 4. Let s(t) = -2*t**5 - 4*t**3. Let x(b) = i*w(b) + k*s(b). Factor x(p).
-2*p**3*(p - 1)*(p + 1)
Let m = -5 - -5. Let l(f) be the second derivative of 0*f**5 + 0*f**2 + 0 + 1/15*f**6 - 1/21*f**7 - f + m*f**3 + 0*f**4. Factor l(o).
-2*o**4*(o - 1)
Let l be (2 - 0) + -5 - -1. Let a = 5 + l. Find o, given that 4*o**2 - 2*o**a - 14*o - 4 + 0*o**3 + 16*o = 0.
-1, 1, 2
Determine m, given that 25 - 12*m**2 - 3*m**4 - 25 - 12*m**3 = 0.
-2, 0
Let w be (1 + 1)/(-2 + 12). Let y = -20 - -101/5. Factor -y*l**2 + 0 + w*l.
-l*(l - 1)/5
Let s(g) be the second derivative of -g**7/21 - g**6/15 + g**5/2 + g**4/6 - 8*g**3/3 + 4*g**2 - 7*g. Determine k so that s(k) = 0.
-2, 1
Let b(j) be the first derivative of -5*j**4/4 + 35*j**3/3 - 20*j**2 - 80*j - 10. Determine d, given that b(d) = 0.
-1, 4
Let x(s) be the first derivative of -s**6/6 - 2*s**5 - 10*s**4 - 80*s**3/3 - 40*s**2 - 32*s + 34. Factor x(w).
-(w + 2)**5
Let p(d) = -d**3 - 3*d**2 + 2. Let n be p(-3). Determine t, given that -6 - 7*t + 13*t + 3 + 2*t + 3*t**n = 0.
-3, 1/3
Let p = -1/611 + 5503/2444. Let q = -27 - -55/2. Let -q - 5/4*u**3 - 3*u**2 - p*u = 0. Calculate u.
-1, -2/5
Let n(v) = v + 8. Let h be n(-6). Let 10*t**2 + 3*t**h - 4*t - 19*t**3 + 7*t**5 + 14*t**5 - 13*t**4 + 2*t = 0. What is t?
-1, 0, 2/7, 1/3, 1
Let j(r) = -r + 2. Let a(y) = -y**3 - y**2 + y + 1. Let k be a(-1). Let w be j(k). Factor 0*u - 2*u**w + u - 2*u - u**3.
-u*(u + 1)**2
Let n(h) = -h**2 - 7*h + 2. Let x be n(-7). Suppose -2*g = -3*i, -4*i = -x*g - 2*i. Factor g*a + 0 + 1/5*a**4 + 0*a**3 - 1/5*a**2.
a**2*(a - 1)*(a + 1)/5
Let i(h) be the second derivative of -h**5/10 - h**4/6 + 4*h. Factor i(f).
-2*f**2*(f + 1)
Let p be 2 + 3/3 + 1. Determine a so that a**3 + 0*a + 7*a**2 + 0*a - 3*a**2 + p*a = 0.
-2, 0
Let o(j) be the third derivative of j**6/48 + j**5/48 - 5*j**4/48 - 5*j**3/24 + 6*j**2 - 2. Factor o(w).
5*(w - 1)*(w + 1)*(2*w + 1)/4
Let s = 2 - -1. Factor -14*j**3 + 4*j**s + 2*j**4 + 16*j**2 - 8*j + 0*j**2.
2*j*(j - 2)**2*(j - 1)
Factor -8*k + 8*k - 2*k - 5*k**2 + 16*k**3 - 9*k**4.
-k*(k - 1)**2*(9*k + 2)
Let i(y) be the first derivative of y**4/30 - y**3/15 + 2*y + 5. Let m(z) be the first derivative of i(z). Factor m(a).
2*a*(a - 1)/5
Let j(q) = 3*q - 2. Let x be -1 + 5/((-5)/2). Let s(p) = -p**2 - p + 1. Let i(b) = x*j(b) - 6*s(b). Determine a, given that i(a) = 0.
0, 1/2
Suppose -4*q + 6 = -2*q. Factor 4 - 3*g**2 + 6*g + g**2 + 5 + q*g**2.
(g + 3)**2
Let a(t) be the second derivative of 81*t**5/50 - 87*t**4/5 + 44*t**3/3 - 24*t**2/5 - 12*t. Factor a(z).
2*(z - 6)*(9*z - 2)**2/5
Let k(r) be the second derivative of -r**5/20 + 5*r**4/12 - 4*r**3/3 + 2*r**2 - 2*r. Factor k(y).
-(y - 2)**2*(y - 1)
Let t be (-34)/85 - 1/(-1)*2. Find f, given that 16/5 - 2*f**3 + t*f - 2/5*f**4 - 12/5*f**2 = 0.
-2, 1
Let j(b) be the third derivative of -b**6/60 + b**4/12 - 9*b**2. Factor j(v).
-2*v*(v - 1)*(v + 1)
Let a be (-105)/(-30) - 1/(-2). Let z(l) be the first derivative of 2/21*l**3 + 0*l + 2/7*l**2 - 1/14*l**a + 3. Solve z(x) = 0 for x.
-1, 0, 2
Let f be (-38)/(-247) + (-24)/(-13). Let g(i) be the third derivative of 1/240*i**5 - 1/48*i**4 + 0*i**3 + 0 - 2*i**f + 0*i. Solve g(b) = 0.
0, 2
Let j(c) be the first derivative of -15*c**4/8 + 20*c**3/3 - 35*c**2/4 + 5*c - 8. Suppose j(o) = 0. Calculate o.
2/3, 1
Suppose -5 = -q - 9. Let z be -4 - q - 2/(-6). Find s, given that 0 + z*s**3 - 1/3*s - 1/3*s**4 + 1/3*s**2 = 0.
-1, 0, 1
Let c(y) = -y**3 - 8*y**2 + y + 5. Let p be c(-8). Let l be p/5 + (-270)/(-200). Let 3/4*w**2 - 1/2*w**3 + 1/2*w + 0 - l*w**4 = 0. What is w?
-1, -2/3, 0, 1
Suppose k - 15 = 3*k + 5*j, -k + 3*j = -9. Let i(s) be the first derivative of 1/8*s**2 - 2 + 0*s**5 - 1/8*s**4 + 1/24*s**6 + k*s + 0*s**3. Factor i(r).
r*(r - 1)**2*(r + 1)**2/4
Let c(y) = -y**4 - y - 1. Let a(k) = 2*k**5 - 2*k**4 + 4*k**2 + 2. Let x(j) = a(j) + 2*c(j). Factor x(l).
2*l*(l - 1)**3*(l + 1)
Let k(p) be the third derivative of p**2 + 0*p - 1/60*p**4 + 0*p**3 + 0 + 1/150*p**5. Factor k(v).
2*v*(v - 1)/5
Let n(i) be the third derivative of 75*i**5/4 + 25*i**4/2 + 10*i**3/3 + 21*i**2. What is s in n(s) = 0?
-2/15
Let y(f) be the third derivative of 3/80*f**5 + 0*f**3 + 2*f**2 + 0*f - 7/480*f**6 - 1/48*f**4 + 0. Factor y(i).
-i*(i - 1)*(7*i - 2)/4
Let d = 2071/30 - 69. Let v(o) be the third derivative of 0 + 1/3*o**3 - o**2 + 0*o**5 + d*o**6 - 1/105*o**7 + 0*o - 1/6*o**4. Factor v(j).
-2*(j - 1)**3*(j + 1)
Let o(s) be the third derivative of s**9/90720 + s**8/15120 + s**5/10 + 6*s**2. Let t(f) be the third derivative of o(f). Factor t(r).
2*r**2*(r + 2)/3
Let c be (-11)/(-5) - (5 - (-15)/(-5)). Factor c - 2/5*t + 1/5*t**2.
(t - 1)**2/5
Let b = 11881/36 + -330. Let z(v) be the second derivative of -1/18*v**3 + b*v**4 + 0 + 2*v + 0*v**2. Determine n so that z(n) = 0.
0, 1
Find p such that -48*p**4 + 48*p**2 + 0*p**3 + 29*p**3 - 16*p + 2*p**3 + 13*p**3 - 28*p**5 = 0.
-2, -1, 0, 2/7, 1
Factor -4/5*j**2 + 144/5*j - 1296/5.
-4*(j - 18)**2/5
Factor 0*s - 2/13*s**2 + 2/13.
-2*(s - 1)*(s + 1)/13
Let a be (-2)/4*(14 - 14). Determine d so that -2/5*d**3 + a*d**2 - 4/5 + 6/5*d = 0.
-2, 1
Suppose -45*n + 46*n = 0. Find y such that 1/4*y**2 + 1/4*y + n = 0.
-1, 0
What is b in 9 - 57/4*b**2 + 9/4*b**4 - 6*b + 3*b**3 = 0?
-3, -1, 2/3, 2
Let l(p) be the first derivative of p**5/10 + p + 2. Let h(t) be the first derivative of l(t). Factor h(q).
2*q**3
Let f(m) be the first derivative of -m**4/4 + 2*m**3/3 + 8. Solve f(i) = 0.
0, 2
Let d(p) be the second derivative of p**5/25 - p**4/3 + 14*p**3/15 - 6*p**2/5 - 5*p. Factor d(u).
4*(u - 3)*(u - 1)**2/5
Suppose 50 = 6*q - q. Suppose q = 2*p + 3*p. What is x in 2/5 - 4/5*x + 2/5*x**p = 0?
1
Suppose q = -v - 3*v - 5, 0 = 4*v - 4*q - 20. Let h be 2*(-4)/16*v. What is s in 0*s - 2/5*s**4 + 2/5*s**2 + 0*s**3 + h = 0?
-1, 0, 1
Factor 5*y**3 + y**4 - 1290*y**2 - 2*y**3 + 1292*y**2.
y**2*(y + 1)*(y + 2)
Suppose 26 = -2*m - 4. Let z be (-13)/m - (-8)/60. Factor 7/4*n**3 + 2*n - 19/4*n**2 + z.
(n - 2)*(n - 1)*(7*n + 2)/4
Let l(o) = -o**2 + 3*o. Let c be 1*2 + 3/3. Let g(f) be the third derivative of f**3/6 + f**2. Let b(s) = c*l(s) - 6*g(s). Factor b(y).
-3*(y - 2)*(y - 1)
Factor -1/7*s**3 + 0 - 3/7*s**2 - 2/7*s.
-s*(s + 1)*(s + 2)/7
Suppose -3*d + 52 = -8. Let y be 10/d*(-4)/(-3). What is g in 0 + g**2 - y*g + 0*g**3 - 1/3*g**4 = 0?
-2, 0, 1
Let b(f) be the second derivative of 0*f**3 + 0*f**2 + 1/18*f**4 + 0 - 4*f - 1/60*f**5. Let b(c) = 0. What is c?
0, 2
Let p(j) be the first derivative of j**4/24 + j**3/18 + 5. Suppose p(s) = 0. What is s?
-1, 0
Let c be (2/4)/(2/16). Suppose -c*l = -3*l. Let 0*g**2 + 2/7*g**4 + l + 0*g - 2/7*g**3 = 0. Calculate g.
0, 1
Let d(w) = w**4 + w**3 - 2*w**2 - 2*w. Let s(a) = -4*a + 2*a**4 - a**3 + 3*a**3 - a - 5*a**2. Let l(v) = -5*d(v) + 2*s(v). Factor l(z).
-z**3*(z + 1)
Let 6*w**3 + 12*w**2 + 2*w**4 + 2*w**3 + 6*w**3 - 16 - 4*w**3 - 8*w = 0. What is w?
-2, 1
Factor -1/8*a**2 + 0*a - 1/8*a**3 + 0.
-a**2*(a + 1)/8
Factor 2/5*w**3 - 6/5*w**2 + 0*w + 8/5.
2*(w - 2)**2*(w + 1)/5
Let d(z) = -57*z**3 - 81*z**2 + 24*z + 15. Let r(n) = -7*n**3 - 10*n**2 + 3*n + 2. Suppose -10 = -y - 14. 