 of -f**5/80 - f**4/8 - 3*f**3/8 + 4*f. Find c, given that t(c) = 0.
-3, 0
Suppose -m + 4*m - 21 = 0. Find w such that 15*w**4 - w**2 - 7*w + m*w - 5*w**2 + 9*w**3 = 0.
-1, 0, 2/5
Let m(i) = -8*i**3 - 8*i**2 + 10*i. Let a(x) = 7*x**3 + 7*x**2 - 10*x + 1. Let r(g) = -6*a(g) - 5*m(g). Solve r(h) = 0.
-3, 1
Let c(q) = -4*q**3 - q**2 + 10*q - 5. Let d(a) = 3*a**3 + a**2 - 7*a + 3. Let g(r) = 5*c(r) + 7*d(r). Let l(n) be the first derivative of g(n). Factor l(h).
(h + 1)*(3*h + 1)
Let b(k) be the second derivative of 0 + 1/4*k**2 + 1/80*k**5 + 5/24*k**3 + 1/12*k**4 - 9*k. Factor b(y).
(y + 1)**2*(y + 2)/4
Let z(f) be the second derivative of -f**7/105 + f**5/25 - f**3/15 - f. Find i, given that z(i) = 0.
-1, 0, 1
Suppose 6 = 11*f - 16. Let z(b) be the second derivative of 0 + 1/12*b**4 - 3*b + 1/2*b**f + 1/3*b**3. Find n such that z(n) = 0.
-1
Let c = -191/189 + 22/21. Let a(i) be the third derivative of 1/54*i**4 + c*i**3 + i**2 + 0 + 0*i + 1/270*i**5. What is m in a(m) = 0?
-1
Determine j, given that 5/9*j - 1/9*j**3 - 1/3 - 1/9*j**2 = 0.
-3, 1
Let k be 3/2 + (-72)/16. Let x = k - -10/3. Factor x + 1/3*g**3 - 1/3*g - 1/3*g**2.
(g - 1)**2*(g + 1)/3
Let w be (-11)/55 - (-82)/10. Let r be (w + -3 + -3)/8. Determine d so that 0*d + r - 1/4*d**2 = 0.
-1, 1
Let n be 1/6*(3 - -4 - 5). Suppose 0 - n*x**2 - 2/3*x = 0. What is x?
-2, 0
Let f be (208/(-36) - -2) + 2 - -2. Factor 4/9*u**2 + 0*u**3 - 4/9*u**4 + 2/9*u**5 + 0 - f*u.
2*u*(u - 1)**3*(u + 1)/9
Let n(b) be the third derivative of b**5/15 + b**4/6 - 12*b**2. Solve n(d) = 0 for d.
-1, 0
Let y be (-4)/12 - (-25)/3. Let j = y + -3. Suppose -6*r**3 + 24*r - 24*r - 2*r**2 - 6*r**4 - 2*r**j = 0. Calculate r.
-1, 0
Let s(c) = -4*c**2 + 5*c + 3. Let l(v) = -v**2 + v + 1. Let d(y) = 3*l(y) - s(y). Factor d(n).
n*(n - 2)
Factor -2/7*h**4 - 128/7*h**2 + 32/7*h**3 + 0 + 0*h.
-2*h**2*(h - 8)**2/7
Suppose 1 - 7 = -3*h. Factor h*c**3 - c + c - 4*c**5 + 2*c**3.
-4*c**3*(c - 1)*(c + 1)
Factor 1/2 + 1/6*s**2 - 5/6*s + 1/6*s**3.
(s - 1)**2*(s + 3)/6
Let j(r) be the second derivative of r**4/12 + r**3/3 - 3*r**2/2 + 6*r. Factor j(s).
(s - 1)*(s + 3)
Suppose 0 = -n - 3 + 6. Let g = 55 - 603/11. Solve -2/11*o**n + 0*o - g*o**4 + 0 + 4/11*o**2 = 0 for o.
-2, 0, 1
Let x(s) be the first derivative of s**4/36 + s**3/9 + s**2/6 - 2*s + 1. Let l(y) be the first derivative of x(y). Find o such that l(o) = 0.
-1
Suppose -r - 3*v + 12 = 0, -9 = -2*v - 3. Factor r*o - 4*o**2 - 3*o - 4 - 6*o + 2*o**2.
-2*(o + 1)*(o + 2)
Let l(a) be the first derivative of -2*a**5/5 + a**4 + 2*a**3/3 - 2*a**2 + 1. Factor l(h).
-2*h*(h - 2)*(h - 1)*(h + 1)
Let k = -17 + 17. Let g(n) be the second derivative of -1/75*n**6 + k + 2*n + 0*n**3 + 0*n**5 + 1/30*n**4 + 0*n**2. Solve g(v) = 0.
-1, 0, 1
Let w be 3/(-15) - 22/(-50). Let m(l) be the first derivative of 2/15*l**3 - 3/10*l**4 + 0*l**2 + w*l**5 + 0*l - 1/15*l**6 - 2. Factor m(o).
-2*o**2*(o - 1)**3/5
Let h = 1748/99 + -154/9. Let u = -33 - -33. Factor u - 2/11*b - 6/11*b**3 - 2/11*b**4 - h*b**2.
-2*b*(b + 1)**3/11
Let a(d) = 15*d - 5. Let w(t) = t**2 - 16*t + 4. Let x(z) = 4*a(z) + 5*w(z). Find m such that x(m) = 0.
0, 4
Let x(k) be the first derivative of -k**6/6 - k**5/5 + k**4/4 + k**3/3 - 3. Factor x(q).
-q**2*(q - 1)*(q + 1)**2
Let n(u) be the second derivative of -u**5/10 + 17*u**4/24 - 5*u**3/3 + u**2 + 2*u. Let n(j) = 0. What is j?
1/4, 2
Let w(b) be the first derivative of 1/3*b**2 + 4/3*b + 2 - 2/9*b**3. Factor w(r).
-2*(r - 2)*(r + 1)/3
Let c(m) be the second derivative of m**7/1680 - m**6/720 - m**5/240 + m**4/48 + m**3/3 - 4*m. Let y(j) be the second derivative of c(j). Factor y(b).
(b - 1)**2*(b + 1)/2
Suppose 0*f**2 - 1/3*f**3 + 4/3*f + 0 = 0. Calculate f.
-2, 0, 2
Let j(z) = -z**5 + 4*z**4 - z**3 - 3*z + 3. Let i(g) = 0*g**3 + 4*g**3 - 7*g**3 + 15*g**4 + 11 - 4*g**5 - 11*g. Let c(w) = -6*i(w) + 22*j(w). Factor c(m).
2*m**3*(m - 2)*(m + 1)
Let l = 3/55 - -49/110. Let y(c) be the second derivative of -1/3*c**3 - l*c**2 + 2*c + 0 - 1/12*c**4. Factor y(j).
-(j + 1)**2
Let t(g) be the second derivative of g**2 + 2*g - 1/96*g**4 + 1/240*g**5 + 0*g**3 + 0. Let p(w) be the first derivative of t(w). Find k, given that p(k) = 0.
0, 1
Let h(j) = -7*j**3 - 9*j**2 - 9*j - 3. Let y(i) = -6*i**3 - 9*i**2 - 9*i - 3. Let w(f) = -3*h(f) + 4*y(f). Factor w(n).
-3*(n + 1)**3
Let i(s) be the third derivative of 5*s**8/336 - s**7/42 - s**6/24 + s**5/12 - 11*s**2. Determine b so that i(b) = 0.
-1, 0, 1
Suppose 1 - 1/5*f**2 + 4/5*f = 0. Calculate f.
-1, 5
Let g = 25591 + -102855/4. Let n = -122 - g. Find m such that -1/4 - n*m**3 + 5/4*m**2 - m**4 + 3/4*m = 0.
-1, 1/4, 1
Let f be ((-12)/20)/((252/(-40))/7). Factor -q - f + 20/3*q**2.
(4*q + 1)*(5*q - 2)/3
Let h(g) be the third derivative of -g**6/120 + g**5/30 - g**2. Let v be (4/(-2))/(2/(-4)). Let t(a) = -a**3 + 3*a**2. Let b(r) = v*t(r) - 5*h(r). Factor b(l).
l**2*(l + 2)
Let n(s) be the second derivative of -s**7/2520 - s**6/720 - s**4/12 - 2*s. Let r(i) be the third derivative of n(i). Let r(z) = 0. Calculate z.
-1, 0
Factor -1/8*c**3 + 0 + 0*c - 1/8*c**2.
-c**2*(c + 1)/8
Let p = 9 + -5. Factor 2*r**5 + 22*r**3 + 14*r**p + 32*r + 50*r**2 + 8 + 30*r**3 - 14*r**3.
2*(r + 1)**3*(r + 2)**2
Let f(q) be the third derivative of q**7/945 - q**6/180 + q**5/90 - q**4/108 - 6*q**2. Solve f(d) = 0 for d.
0, 1
Let q(p) = p**4 + p**3 + p**2 + 1. Let g(u) = -2*u**4 - 3*u**3 - 2*u**2 - 1. Let b(l) = -g(l) - q(l). Solve b(z) = 0 for z.
-1, 0
Suppose 20 = 29*w - 24*w. Let 0 + 1/3*a**3 + 1/3*a**2 - 1/3*a - 1/3*a**w = 0. Calculate a.
-1, 0, 1
Let w(d) be the first derivative of -d**3/3 + 3*d**2 - 4*d + 2. Let r be w(4). Find y such that y**3 - r*y + 2*y + y = 0.
-1, 0, 1
Let t(q) be the third derivative of 1/180*q**6 + 0 + 0*q**3 + 0*q - 4*q**2 + 0*q**4 - 1/180*q**5 - 1/630*q**7. Factor t(p).
-p**2*(p - 1)**2/3
Suppose 28 = -4*m - 4. Let x(d) = d**3 + 8*d**2 + d + 11. Let z be x(m). Factor 4*w**z - 2*w**2 + 2*w**3 - 4*w**3.
2*w**2*(w - 1)
Let w(o) = -o - 2*o**2 + 6 + 3*o**2 - 4. Let y be w(2). Factor -2*z**4 + 4*z**2 - 2*z**2 - z**y - 3*z + 1 + 2*z**5 + 2*z**3 - z**5.
(z - 1)**4*(z + 1)
Factor -14*j**2 - 27*j - 5*j**3 + 12*j - 20*j + 54*j**2.
-5*j*(j - 7)*(j - 1)
Let f be (-1)/(4/(-2))*6. Let k = 27 + -26. Suppose 0 - 8*t**3 + 3*t**f + 4*t - k - 7*t**3 - 9*t**4 + 2*t**2 = 0. What is t?
-1, 1/3
Let n be (-2)/(-7) - (-48)/28. Let i = -1/36 - -13/36. Solve 2/3*h - 1/3 - i*h**n = 0.
1
Let d(h) be the first derivative of h**3/24 + 3*h**2/16 + h/4 + 10. Suppose d(o) = 0. Calculate o.
-2, -1
Let k = -5/73 - -813/146. Suppose -k*u**4 + 0 + 12*u**3 + u - 15/2*u**2 = 0. What is u?
0, 2/11, 1
Let 2*t**2 - 22*t**3 + 5*t**5 - 5*t + 25*t + 7*t**3 + 18*t**2 - 10*t**4 = 0. What is t?
-1, 0, 2
Let y(l) be the third derivative of 2*l**7/35 - 11*l**6/30 + 11*l**5/15 - l**4/6 - 4*l**3/3 + 3*l**2. Factor y(k).
4*(k - 2)*(k - 1)**2*(3*k + 1)
Let h(p) be the second derivative of -2*p + 0 + 3/50*p**5 - 1/70*p**7 + 3/10*p**2 - 1/10*p**4 + 1/50*p**6 - 1/10*p**3. What is d in h(d) = 0?
-1, 1
Let s(x) = 13*x**4 + 5*x**3 + 17*x**2 - 17*x - 9. Let g(z) = -6*z**4 - 3*z**3 - 8*z**2 + 8*z + 4. Let m(k) = -9*g(k) - 4*s(k). Find a, given that m(a) = 0.
-2, 0, 1/2
Factor 21*i**2 + 3*i**4 - 4*i + 5*i - 24*i**3 - i.
3*i**2*(i - 7)*(i - 1)
Let z(c) be the second derivative of -c**7/28 + 3*c**5/40 + 2*c + 1. Factor z(p).
-3*p**3*(p - 1)*(p + 1)/2
Let f(v) be the third derivative of -v**8/336 - v**7/35 - 13*v**6/120 - v**5/5 - v**4/6 - 14*v**2. Suppose f(a) = 0. What is a?
-2, -1, 0
Let m(r) = r + 9. Let w be m(-4). Factor -s**w - 3*s**5 + s**5 + 5*s**5.
2*s**5
Suppose -o + 4 = -0. Solve k**2 - 16 + o - 9*k + k + 3*k**2 = 0.
-1, 3
Let o be (-2)/(-4) - 90/(-36). Let j be -2*o/42*-6. Factor -2/7*f**3 - 6/7*f + 2/7 + j*f**2.
-2*(f - 1)**3/7
Let y(u) = -5*u**3 - u. Let m be y(-1). Suppose -m*n + n = 0. Factor -1/2 + 1/2*g**2 + n*g.
(g - 1)*(g + 1)/2
Let k(d) be the first derivative of -2*d**3/27 - 4*d**2/3 - 8*d + 16. Factor k(o).
-2*(o + 6)**2/9
Let w(s) be the second derivative of s**5/50 - s**3/15 - s. Factor w(l).
2*l*(l - 1)*(l + 1)/5
Factor 27 - 4*j**2 - 15 + 2*j - 8 - 2*j**3.
-2*(j - 1)*(j + 1)*(j + 2)
Suppose -2*h + 14 - 6 = 0. Factor 7*a**3 - 3*a**2 + 2*a**h + 0*a - 9*a**3 + 2*a + a**2.
2*a*(a - 1)**