*2*(x + 1)*(x + 142)
Let c = 773 - 19324/25. Let a(m) be the second derivative of 0*m**3 + c*m**5 + 2/105*m**7 - 4/75*m**6 + 0*m**4 + 8*m + 0*m**2 + 0. What is y in a(y) = 0?
0, 1
Let w = -8132/3 + 2712. Factor -4/3 + 14/3*p - 14/3*p**3 + w*p**2.
-2*(p - 1)*(p + 1)*(7*p - 2)/3
Factor 3/5*h**2 + 162*h + 10935.
3*(h + 135)**2/5
Let c(l) = 2*l**3 - 6*l**2 + 2*l + 1. Let h(q) = -q**3 + 3*q**2 - 1. Let v(f) = -2*c(f) - 2*h(f). Determine z, given that v(z) = 0.
0, 1, 2
Let q(u) = -47*u + 611. Let s be q(13). Let b(g) be the second derivative of 0 - 1/80*g**5 + 0*g**3 + s*g**2 + 9*g + 1/24*g**4. Suppose b(l) = 0. Calculate l.
0, 2
Let y(p) be the first derivative of -3*p**4/16 + 2*p**3 - 63*p**2/8 + 27*p/2 - 256. Factor y(q).
-3*(q - 3)**2*(q - 2)/4
Let g(n) be the first derivative of 0*n**2 + 0*n - 2/3*n**3 + 0*n**4 - 1/840*n**7 + 0*n**6 + 0*n**5 + 5. Let c(b) be the third derivative of g(b). Factor c(i).
-i**3
Let o(s) be the first derivative of -44*s**5/7 - 82*s**4/7 - 116*s**3/21 - 4*s**2/7 + 34. Suppose o(q) = 0. What is q?
-1, -2/5, -1/11, 0
Let s(k) be the second derivative of -5*k**8/336 + k**7/14 - k**5/3 - k**2 + 28*k. Let t(h) be the first derivative of s(h). Factor t(i).
-5*i**2*(i - 2)**2*(i + 1)
Factor -11/8*p**2 - 2 - 13/4*p - 1/8*p**3.
-(p + 1)*(p + 2)*(p + 8)/8
Let k(t) = t**2 - 3*t + 25. Let j be k(10). Let i be (6/(-5))/((-57)/j). Solve -i*n**3 - 2*n**4 - 6 - 2 + 10*n**2 + 2*n**3 = 0.
-2, -1, 1, 2
Factor -1/3*g**4 - 26*g**2 - 28/3*g**3 - 25/3 - 76/3*g.
-(g + 1)**3*(g + 25)/3
Suppose -84 = -21*k - 0*k. Factor 4/3*v**k - 3*v**2 + 1/6*v**5 - 27/2*v - 9 + 8/3*v**3.
(v - 2)*(v + 1)*(v + 3)**3/6
Suppose -6*h - 3 - 3 = 0. Let w be 0 - (h + 3)/(-8). Determine x so that -3/4*x**2 + 3/4*x**4 + w*x + 0 - 1/4*x**3 = 0.
-1, 0, 1/3, 1
Find f, given that 0*f + 0 + 2/3*f**2 = 0.
0
Let t be (-4)/2 + 7 + -2. Let y(p) = -80*p - 960. Let a be y(-12). Find i, given that 4/7*i**2 - 2/7*i**t + a - 2/7*i = 0.
0, 1
Let n = 12 + -22. Let f be (35/n - -5)/(2*3). Find c such that -1/2 - f*c + 1/4*c**2 = 0.
-1, 2
Suppose 0*p = 5*a + 2*p, a + 5*p = 0. Let i(n) be the second derivative of -5*n - 4/9*n**2 + 2/27*n**4 + 1/27*n**3 + a - 1/90*n**5. Factor i(q).
-2*(q - 4)*(q - 1)*(q + 1)/9
Suppose -3*l - 2*x + 4 = -2*l, -16 = -4*l + 3*x. Suppose 2*k = t, -7*t - l*k + 14 = -2*t. Factor -4/11 - 2/11*q**t + 6/11*q.
-2*(q - 2)*(q - 1)/11
Let o(j) be the second derivative of 5*j**7/98 - 43*j**6/70 - 117*j**5/70 + 19*j**4/7 + 20*j**3/7 - 148*j - 2. Find x, given that o(x) = 0.
-2, -2/5, 0, 1, 10
Let x(u) = u**3 - 6*u**2 - 9*u + 16. Let s be x(7). Let i be 4/(-6)*(s - 5). Factor 0 - 2/3*h**i - 4/3*h.
-2*h*(h + 2)/3
Let z = 114 + -111. Let k = -6 - -6. Let 9*u + 4*u**2 + k*u**2 + u**z + 2*u**2 = 0. What is u?
-3, 0
Let h be 1968/164 - (11 + 1). Factor h*s**2 - 5/2*s - 5/3 + 5/6*s**3.
5*(s - 2)*(s + 1)**2/6
Let z be 9 + -6 + (-10)/10. Let j(v) be the first derivative of 1/2*v**4 - 10 - v**z + 0*v + 0*v**3. Factor j(x).
2*x*(x - 1)*(x + 1)
Let p be (-18)/(-5) + (-6)/10. Suppose p*z = -4*s + 28, -z + 8 = 2*s - s. Factor -3*h - 5*h**2 - 6*h - z*h + 3*h.
-5*h*(h + 2)
Let t(k) be the first derivative of 5/11*k**2 - 10/33*k**3 + 4/11*k + 6/55*k**5 - 5/22*k**4 + 29. Suppose t(o) = 0. Calculate o.
-1, -1/3, 1, 2
Let b(i) be the third derivative of 1/240*i**5 - 4*i**2 - 1/24*i**3 + 0*i + 1/96*i**4 + 0 - 1/480*i**6. Factor b(y).
-(y - 1)**2*(y + 1)/4
Let i(j) be the first derivative of j**4/14 + 8*j**3/21 - 11*j**2/7 + 12*j/7 - 84. Find n, given that i(n) = 0.
-6, 1
Let v = -1337 + 1337. Suppose 2*b + 2 = 2*d, -3*d = d + 4*b - 12. Find n, given that -2/19*n + v + 0*n**d + 2/19*n**3 = 0.
-1, 0, 1
Let w(u) be the second derivative of -u**6/135 + u**5/45 + u**4/18 - 4*u**3/27 - 4*u**2/9 - 76*u. Factor w(b).
-2*(b - 2)**2*(b + 1)**2/9
Let p(g) be the second derivative of g**6/30 - g**5/20 - g**4/4 + g**3/6 + g**2 + 3*g + 1. Factor p(c).
(c - 2)*(c - 1)*(c + 1)**2
Determine n so that -1 - 1/2*n**3 + 5/3*n**2 - 1/6*n = 0.
-2/3, 1, 3
Let y(p) = -3*p**2 + 8*p + 118. Let n(d) = d**2 - 3*d - 40. Let v(r) = 17*n(r) + 6*y(r). Factor v(w).
-(w - 4)*(w + 7)
Let a = 46348/15 + -3087. Let p = a - 11/5. Factor 2/3 + 2*z**2 + 2*z + p*z**3.
2*(z + 1)**3/3
Factor 22 + 56*p + 42 - p**3 - 16 + 20*p**2 + 4*p**3 - p**3.
2*(p + 2)**2*(p + 6)
Suppose -4*z = 3*z - 161. Factor 14*d + z*d + 72 - 13*d + 2*d**2.
2*(d + 6)**2
Let n be ((-2)/3)/(3/(-9)). Let g = -587/3 + 196. Factor 0*q - 1/3 + g*q**n.
(q - 1)*(q + 1)/3
Let k be ((-454)/3405)/(2/(-5)). Factor -2/3 + p + 0*p**2 - k*p**3.
-(p - 1)**2*(p + 2)/3
Suppose 8*o = 3*o - 70. Let h = o - -18. Factor h + 6*j**2 - 10*j**2 + 0*j**2.
-4*(j - 1)*(j + 1)
Let j(a) be the first derivative of 4*a**2 + 0*a - 2*a**4 + 12 - 4/5*a**5 + 4/3*a**3. Find z, given that j(z) = 0.
-2, -1, 0, 1
Find v such that -103*v + 0 + 208*v - 3*v**2 + 0 = 0.
0, 35
Determine d so that -2*d - 7*d**2 + 3*d**2 + 4 - 15*d**3 + 17*d**3 = 0.
-1, 1, 2
Let b = -45 - -38. Let z(f) = -2*f**4 + 6*f**3 + 2*f**2 - 6*f. Let y(h) = -h**5 + 6*h**4 - 18*h**3 - 6*h**2 + 19*h. Let s(x) = b*z(x) - 2*y(x). Factor s(w).
2*w*(w - 1)**2*(w + 1)*(w + 2)
Let h(z) be the second derivative of 2*z**7/105 + z**6/30 - 9*z**2/2 + 5*z. Let x(g) be the first derivative of h(g). Find v such that x(v) = 0.
-1, 0
Let o(a) be the second derivative of -3*a**7/28 - a**6/2 - 37*a**5/40 - 5*a**4/6 - a**3/3 + 16*a - 4. Determine k so that o(k) = 0.
-1, -2/3, 0
Let j(b) = 9*b**2 - 4*b. Let m be j(1). Solve 15*k**2 - m*k**2 - 8*k**2 + 0*k**3 - k**4 + k**3 = 0.
-1, 0, 2
Let v(q) = -q**4 - q**3 - q + 3. Let u(a) = 6*a**4 + 3*a**3 - a**2 + 7*a - 15. Let d(r) = -3*u(r) - 15*v(r). Factor d(n).
-3*n*(n - 2)*(n - 1)*(n + 1)
Let b = 8 + -5. Let i(t) = -4*t**b + 1 - t**3 + 4*t**3. Let j(z) = -3*z**3 + 8*z**2 + 10*z + 9. Let f(d) = -5*i(d) + j(d). Let f(v) = 0. What is v?
-2, -1
Factor -20/13 - 18/13*y + 2/13*y**2.
2*(y - 10)*(y + 1)/13
Let a = -43 + 43. Let l(s) be the second derivative of 1/80*s**5 - 1/24*s**3 + 8*s + 0*s**2 + a + 0*s**4. Factor l(r).
r*(r - 1)*(r + 1)/4
Let v(t) = -26*t**2 + 6*t - 5. Let i(k) be the first derivative of -17*k**3 + 6*k**2 - 9*k + 20. Let h(p) = -5*i(p) + 9*v(p). Factor h(y).
3*y*(7*y - 2)
Let q(t) = -3*t - 11. Let b(z) = z**3 + 4*z**2 + 2*z + 2. Let d be b(-4). Let x be q(d). Suppose 14*y**3 - 4*y - 3*y**2 + x*y**2 - 18*y**4 + 4*y = 0. What is y?
-2/9, 0, 1
Let h(l) be the third derivative of l**6/360 + l**5/40 + l**4/12 - 41*l**3/6 + 17*l**2. Let g(v) be the first derivative of h(v). Factor g(n).
(n + 1)*(n + 2)
Factor 129 - 3/2*o**2 - 123/2*o.
-3*(o - 2)*(o + 43)/2
Suppose 13*x = 9*x + 20. Let p(j) be the second derivative of -1/105*j**6 + 0 + 0*j**2 - 1/21*j**3 - 1/14*j**4 - 3/70*j**5 - x*j. Factor p(l).
-2*l*(l + 1)**3/7
Let t(u) be the first derivative of 5*u**4/12 + 2*u - 9. Let q(s) be the first derivative of t(s). Solve q(o) = 0.
0
Let j(z) be the first derivative of -8/11*z + 23/22*z**4 - 16/11*z**2 - 2/33*z**3 - 28 - 7/33*z**6 + 2/11*z**5. Let j(p) = 0. Calculate p.
-1, -2/7, 1, 2
Let c(l) = -6*l**3 - 3*l**2 + 24*l + 33. Let w(q) = -7*q**3 - 3*q**2 + 24*q + 32. Let r(v) = 4*c(v) - 3*w(v). What is d in r(d) = 0?
-2, 3
Suppose 4*b - 12 = -4*i, -3 = -i - 0*i + 5*b. Let z(j) be the third derivative of 5*j**2 + 0*j**4 + 0*j**5 - 1/480*j**6 + 0 + 0*j + 0*j**i. Factor z(r).
-r**3/4
Suppose -4 = -2*f - 2*t - 2, -2*f = t - 1. Let g(x) be the second derivative of 0*x**2 + 0 + f*x**3 - 5*x + 1/4*x**4. Factor g(a).
3*a**2
Let c = 806/29 - 3508/145. Factor 12/5*l + 12/5*l**3 - c*l**2 - 3/5 - 3/5*l**4.
-3*(l - 1)**4/5
Let o(u) = -u**2 - 95*u - 89. Let v(k) = -46*k - 44. Let y(w) = -2*o(w) + 5*v(w). Factor y(h).
2*(h - 21)*(h + 1)
Let f(l) be the second derivative of l**7/231 - l**6/15 + 43*l**5/110 - 7*l**4/6 + 64*l**3/33 - 20*l**2/11 - 103*l. Suppose f(j) = 0. Calculate j.
1, 2, 5
Let n(k) = -66*k**2 + 480*k + 27. Let j(g) = 5*g**2 - 37*g - 2. Let t(y) = -27*j(y) - 2*n(y). Solve t(c) = 0.
0, 13
Let m(o) = o**4 - 346*o**3 + 30268*o**2 - 59507*o + 29589. Let k(j) = j**4 - 346*j**3 + 30267*j**2 - 59506*j + 29590. Let t(b) = 5*k(b) - 6*m(b). Factor t(i).
-(i - 172)**2*(i - 1)**2
Suppose f - 10 = -2*f + p, 3*f = -4*p - 10. Factor 11*a - 5*a**2 + 5*a + f - 19*a.
-(a + 1)*(5*a - 2)
Suppose 0 = -4*u + 2*x - 54, 3*u + 3