ve of v(s). Factor q(p).
-3*p**3*(p - 1)*(p + 2)
Let g be 2 - 5 - -6*(-1)/(-2). Find x such that -2*x**4 - 4/3*x**3 + g*x**2 + 0 + 0*x = 0.
-2/3, 0
Let n(v) be the third derivative of v**6/120 - v**4/24 - 2*v**2. Let n(t) = 0. What is t?
-1, 0, 1
Let b(f) be the second derivative of -f**7/840 - f**6/120 - f**5/40 - f**4/3 + 2*f. Let t(i) be the third derivative of b(i). Let t(n) = 0. What is n?
-1
Factor 1/3*l + 0 - 1/3*l**2.
-l*(l - 1)/3
Find k, given that -2*k**2 + 2/7*k**3 - 10/7 + 22/7*k = 0.
1, 5
Suppose j = -8 + 10. Factor -1/4*h**3 - 3/4*h - 1/4 - 3/4*h**j.
-(h + 1)**3/4
Let u = -4 + 6. Let b be (-7)/4 + 4/u. Factor 0 + 1/4*m**2 - 1/4*m**4 + 1/4*m - b*m**3.
-m*(m - 1)*(m + 1)**2/4
Suppose 0 = 2*v - 53 - 77. Factor -3*g**5 + 9 - 39*g + 21*g**4 - v*g**3 + 66*g**2 - 26*g**3 + 37*g**3.
-3*(g - 3)*(g - 1)**4
Solve -1/2 + f - 1/2*f**2 = 0 for f.
1
Let s(c) be the first derivative of c**3/2 + 3*c**2/2 + 3*c/2 - 2. Let s(b) = 0. What is b?
-1
Factor 46/7*z**2 - 286/7*z - 2/7*z**3 + 242/7.
-2*(z - 11)**2*(z - 1)/7
Let r(n) = n**3 - 9*n**2 - 27*n - 25. Let q = 6 - 9. Let c(w) = w**3 + 1. Let o(v) = q*r(v) + 6*c(v). Find b such that o(b) = 0.
-3
Let x(s) = -9*s**2 - 27*s - 29. Let b be 1 + 1 - (-91)/(-7). Let j(v) = 3*v**2 + 9*v + 10. Let n(t) = b*j(t) - 4*x(t). Find l such that n(l) = 0.
-2, -1
Let y(b) = 9*b**2 + 5*b - 9. Let u(v) = -v - 10*v**2 - 10*v + 10 + 5*v. Let q(n) = -5*u(n) - 6*y(n). Factor q(j).
-4*(j - 1)*(j + 1)
Let p(g) be the second derivative of -g**5/30 + g**3/3 - 5*g**2/2 - 2*g. Let l(y) be the first derivative of p(y). Find c, given that l(c) = 0.
-1, 1
Let x(u) = -20*u**4 - 48*u**3 - 26*u**2 - 4*u - 2. Let z(g) = 21*g**4 + 48*g**3 + 26*g**2 + 4*g + 3. Let q(s) = -3*x(s) - 2*z(s). Factor q(t).
2*t*(t + 2)*(3*t + 1)**2
Let s be 1*-1*4/((-12)/6). Let k(v) be the first derivative of 0*v - 1/3*v**6 + 1/2*v**4 + 0*v**3 + 0*v**5 + 0*v**2 - s. Find i such that k(i) = 0.
-1, 0, 1
Let i(r) be the second derivative of -9/10*r**5 - 6*r**2 - 6*r**3 - 13/4*r**4 - 1/10*r**6 - 3*r + 0. Factor i(q).
-3*(q + 1)**2*(q + 2)**2
Suppose 3*g - g = -5*i + 4, -6 = -3*i. Let a be 11/3 + g + 0. Let -1/3 - 1/3*y**2 + a*y = 0. What is y?
1
Let v(z) be the first derivative of -z**4/14 + 2*z**3/7 + 9*z**2/7 + 10*z/7 - 55. What is o in v(o) = 0?
-1, 5
Suppose -11*u = -12*u. Let c(n) be the third derivative of 1/60*n**5 + 0*n - n**2 + 0*n**4 + u + 0*n**3. Determine b, given that c(b) = 0.
0
Let m = -11 - -19. Factor -13*i + 3*i**2 + m*i - i.
3*i*(i - 2)
Let l = -1 - 0. Let h = 4 + l. Find u, given that -3*u**4 + h*u**5 + 10*u**3 - 10*u**3 = 0.
0, 1
Let z = -50 - -50. Factor -1/3*x**2 + 0 + z*x + 1/3*x**4 + 0*x**3.
x**2*(x - 1)*(x + 1)/3
Let v(j) be the third derivative of -2*j**7/105 + j**6/30 + j**5/15 - j**4/6 + 9*j**2. Factor v(i).
-4*i*(i - 1)**2*(i + 1)
Suppose -5*t = -6*t + 1. Let f = 1 + t. Factor 27*i + i**3 - 9*i**f - 11 - 19 + 3.
(i - 3)**3
Let n(x) be the first derivative of 0*x**4 - 1/60*x**5 + 0*x + 1/18*x**3 - 1/180*x**6 + 4 + 2*x**2. Let m(z) be the second derivative of n(z). Factor m(o).
-(o + 1)**2*(2*o - 1)/3
Factor 12/17*a**2 + 2/17*a**4 - 16/17 + 10/17*a**3 - 8/17*a.
2*(a - 1)*(a + 2)**3/17
Let j(f) be the first derivative of -2*f**6/15 - f**5/5 + 2*f - 2. Let b(y) be the first derivative of j(y). Factor b(k).
-4*k**3*(k + 1)
Suppose 0*n = -2*n. Let g(d) be the third derivative of -1/180*d**6 + 1/36*d**4 - d**2 + 0*d**5 - 1/630*d**7 + 1/18*d**3 + n*d + 0. Factor g(u).
-(u - 1)*(u + 1)**3/3
Let g(k) be the third derivative of 1/24*k**4 + 0 + 0*k**3 - 3*k**2 + 0*k - 7/120*k**5. Suppose g(l) = 0. What is l?
0, 2/7
Let t(b) be the first derivative of 9*b**4/28 + b**3 + 15*b**2/14 + 3*b/7 + 13. Factor t(f).
3*(f + 1)**2*(3*f + 1)/7
Let u = -5 + 5. Let o be ((-2)/(-8))/(6/8). Determine n so that u - 2/3*n**2 - 1/3*n**3 - o*n = 0.
-1, 0
Let y(m) = -m**2 - m - 1. Let t(b) = 5*b**2 + 5*b + 6. Let x(g) = -t(g) - 6*y(g). Factor x(f).
f*(f + 1)
Factor 144 + 12*a**2 + 72*a + 2/3*a**3.
2*(a + 6)**3/3
Factor 2/9*k**3 + 2/9*k**4 - 2/9*k**5 - 2/9*k**2 + 0 + 0*k.
-2*k**2*(k - 1)**2*(k + 1)/9
Let u(v) = -2*v**2 + 2. Suppose 3*i = 2*i - 4. Let l be -3 - i - (2 + -6). Let p(k) = -2*k**2 + 2. Let g(y) = l*u(y) - 4*p(y). Let g(t) = 0. Calculate t.
-1, 1
Suppose -p + n = 4*p - 15, -5*p - 2*n = 0. Let q(t) be the first derivative of -1/2*t**p + 0*t - 1/4*t**4 - 2 + 2/3*t**3. Factor q(s).
-s*(s - 1)**2
Let o = -5 + 7. Let u(p) be the first derivative of 1 + 0*p - 2/7*p**o + 2/21*p**3. Factor u(g).
2*g*(g - 2)/7
Let o = -766/9 + 86. What is h in 32/9*h - 4/9*h**4 - 14/3*h**2 + 22/9*h**3 - o = 0?
1/2, 1, 2
Let x(k) be the third derivative of k**6/540 - k**5/30 + 2*k**4/27 - 11*k**2. Factor x(v).
2*v*(v - 8)*(v - 1)/9
Factor 0*w - 4/3*w**3 + 0*w**2 + 10/3*w**4 + 0.
2*w**3*(5*w - 2)/3
Suppose 3/2*d**2 + 3/2*d**3 + 0*d + 0 = 0. What is d?
-1, 0
Let z be (-18)/6 - 18/(-1). Let w = 19 - z. What is b in -7/2*b - w*b**2 + 8*b**3 - 1/2 = 0?
-1/4, 1
Let h be 0/4 + (1 - -1). Let s(p) = 2*p - 3. Let l be s(4). Determine m so that 2*m - l*m - h*m**2 + 5*m = 0.
0, 1
Factor -4/7 + 10/7*f - 8/7*f**2 + 2/7*f**3.
2*(f - 2)*(f - 1)**2/7
Determine y, given that -15*y**3 + y**3 - 3*y**2 + 3*y**4 + 6*y + 8*y**3 = 0.
-1, 0, 1, 2
Let r(o) be the first derivative of o**4 - 32*o**3/3 + 42*o**2 - 72*o - 5. Let r(p) = 0. Calculate p.
2, 3
Let f be 3*((-20)/(-6))/5. Solve l + 0*l + 2*l**f - l**3 + 2*l**3 = 0 for l.
-1, 0
Let c(t) be the second derivative of t**5/120 - t**4/48 - t**2 - 2*t. Let l(y) be the first derivative of c(y). Suppose l(r) = 0. Calculate r.
0, 1
Suppose 94*b = 116*b - 44. What is q in 8/7*q + 10/7*q**3 - 2/7*q**4 - 16/7*q**b + 0 = 0?
0, 1, 2
Let h(v) = -3*v**4 - 2*v**3 - 7*v**2 + 4*v. Let c(w) = -3*w**4 - 3*w**3 - 6*w**2 + 3*w. Let f(k) = -4*c(k) + 3*h(k). Factor f(z).
3*z**2*(z + 1)**2
Let r(y) be the first derivative of -3 - 5/3*y**2 + 14/9*y**3 - 4/3*y. Factor r(z).
2*(z - 1)*(7*z + 2)/3
Let n(j) = 4*j - 5. Let d be n(-6). Let z = d - -32. Suppose 0 - 6/7*p**z + 0*p**4 + 4/7*p**2 + 0*p + 2/7*p**5 = 0. Calculate p.
-2, 0, 1
Let r be 90/20*1/15. Let q(w) be the first derivative of 0*w**2 + 0*w - 3/8*w**4 + 1/4*w**6 + r*w**5 - 1 - 1/2*w**3. Factor q(n).
3*n**2*(n - 1)*(n + 1)**2/2
Let q be (-2 + (-202)/(-90))*-1. Let j = q + 7/15. Suppose -2/9*z**2 + 2/9*z**3 - 2/9*z + j = 0. Calculate z.
-1, 1
Let o(m) be the third derivative of m**6/780 + 4*m**5/195 + 7*m**4/156 + 25*m**2. Factor o(z).
2*z*(z + 1)*(z + 7)/13
Let t = -2 - -9/4. Determine k, given that -1/4*k**3 + 1/4*k - 1/4 + t*k**2 = 0.
-1, 1
Find f, given that -6*f**5 - 3*f**2 + 0 - 33/2*f**3 - 39/2*f**4 + 0*f = 0.
-2, -1, -1/4, 0
Let y(c) = 4*c**3 + c**2 - c + 5. Let w(t) be the first derivative of 2*t**2 - 17/4*t**4 - 5/3*t**3 - 21*t + 2. Let u(b) = 6*w(b) + 26*y(b). Factor u(i).
2*(i - 2)*(i - 1)*(i + 1)
Solve 6*a**3 + 14 - 7*a - 17 + 3*a**4 + a = 0.
-1, 1
Let f = -15410223/175 + 88059. Let y = f + 14/25. Factor y*z**2 - 10/7*z + 4/7 - 2/7*z**3.
-2*(z - 2)*(z - 1)**2/7
Let v(w) = 3 + 1 - 3. Let t = -1 - -2. Let h(y) = y**2 - y + 1. Let g(p) = t*v(p) - h(p). Factor g(f).
-f*(f - 1)
Let n be 1/1 - (-27)/(-6). Let z = n + 4. Factor 0*k + 1/4*k**3 + 0*k**2 - z*k**5 + 1/4*k**4 + 0.
-k**3*(k - 1)*(2*k + 1)/4
Suppose -65*i = 24*i. Factor i - 1/5*h + 1/5*h**2.
h*(h - 1)/5
Let c(q) = 32*q**5 - 52*q**4 + 26*q**3 - 6*q**2. Let v(l) = -33*l**5 + 52*l**4 - 26*l**3 + 7*l**2. Let k(g) = -6*c(g) - 4*v(g). Solve k(s) = 0.
0, 1/3, 2/5, 1
Let q(c) be the third derivative of -c**7/735 - 26*c**2. Factor q(n).
-2*n**4/7
Let l = -24 - -5. Let z = l - -37. Factor 18 + w**3 - z - w**2.
w**2*(w - 1)
Suppose -3*x = 3*w + 21, 0 = -3*w + 5*x - x. Let f be -4 + 5 - w/(-8). Suppose t**3 - f*t**4 + 0*t + 0 - 1/2*t**2 = 0. Calculate t.
0, 1
Suppose a + 4*r - 7 = 6, 5*a = -3*r - 3. Let b = -1 - a. Let -8/5 - 8/5*o - 2/5*o**b = 0. What is o?
-2
Let w = 13 + -7. Let k be (-3)/(-6) - w/(-4). Factor -1 - 5*r**k - 9/2*r - 3/2*r**3.
-(r + 1)*(r + 2)*(3*r + 1)/2
Let 14 + 182*h**2 + 15*h - 119*h + 156*h**2 - 6 = 0. What is h?
2/13
Suppose -7*j = -0*j - 35. Let s(h) be the first derivative of -2/5*h**j + 2*h**2 + 2*h + 0*h**3 - 1 - h**4. Solve s(b) = 0 for b.
-1, 1
Let q(h) be the third derivative of -h**7/105 - h**6/30 + h**5/30 + h**4/6 - 21*h**2. Fact