second derivative of 0 + 1/18*f**4 - 1/60*f**5 - 1/18*f**3 + 0*f**2 + 9*f. Factor m(q).
-q*(q - 1)**2/3
Suppose 2*m + 60 = -y, -y + 3*m = m + 40. Let x = y + 50. Solve x*t**2 + 2/5*t**3 - 4/5 - 6/5*t = 0.
-1, 2
Let a(b) = -b + 7. Let m be a(4). Factor -11 + x**2 + m*x**2 + 3*x - 15*x - 5.
4*(x - 4)*(x + 1)
Let t be (-10)/(((-4)/(-6))/((-52)/234)). Let 2/3*c**4 + 0 + t*c**2 - 4/3*c - 8/3*c**3 = 0. Calculate c.
0, 1, 2
Let a = -251 + 156. Let m be (4 + 1)*(-38)/a. Factor -1/4*t**m + 0 + 0*t.
-t**2/4
Let h = -21071/120 - -879/5. Let k = 1/8 + h. Determine l, given that 0*l + 0 + 0*l**2 + k*l**4 - 1/3*l**3 = 0.
0, 1
Let b be 0*(5 - (3 - -1)). Let q(u) be the third derivative of b*u + 0*u**4 + 0*u**3 - 4*u**2 - 1/300*u**5 + 0. Factor q(y).
-y**2/5
Let r(u) = -u**3 + 6*u**2 + 2. Let h be r(6). Suppose -h*a + 25 = 3*a. Factor -18*z**2 + 14*z**4 + 2*z + 27*z**a - 11*z + 49*z**4 + 3 + 30*z**3.
3*(z + 1)**3*(3*z - 1)**2
Let u(i) be the second derivative of i**7/168 + i**6/10 + 51*i**5/80 + 11*i**4/6 + 2*i**3 - 364*i. Suppose u(v) = 0. What is v?
-4, -3, -1, 0
Let l(c) be the second derivative of 2*c**7/7 + 37*c**6/10 + 387*c**5/20 + 103*c**4/2 + 70*c**3 + 36*c**2 + 61*c. Let l(n) = 0. What is n?
-3, -2, -1/4
Factor 40*q**2 + 614 + 907 - 4*q**2 - 78*q - 35*q**2.
(q - 39)**2
Suppose -4/9 + 86/9*a**4 + 10*a - 82/9*a**2 - 10*a**3 = 0. Calculate a.
-1, 2/43, 1
Suppose 296*x**3 + 1454*x**5 + 1447*x**5 - 2897*x**5 - 300*x - 80*x**2 + 80*x**4 = 0. What is x?
-15, -5, -1, 0, 1
Let t(n) be the second derivative of 9*n**5/130 - 11*n**4/13 + 76*n**3/39 - 24*n**2/13 - n - 112. Factor t(r).
2*(r - 6)*(3*r - 2)**2/13
Let q = 41 + -30. Suppose -5 = -8*h + q. Factor -1/3*v**h - 4/3*v - 1.
-(v + 1)*(v + 3)/3
Find g such that 2/9*g**3 - 1/9*g**5 + 1/3*g**4 + 0 + 8/9*g - 4/3*g**2 = 0.
-2, 0, 1, 2
Suppose -2*d + 6 = -z - 4, -z + 4*d - 8 = 0. Let w be 2*(z/8 - -3). Suppose -3*f**3 - f**2 - 2*f**3 + f - f**4 + 2*f**2 + 4*f**w = 0. What is f?
-1, 0, 1
Suppose 13*h + 1 = -51. Let p be 2*2/h + 0 + 3. Factor 0*b**p + 1/3*b**4 + 0 - 2/3*b**3 + 0*b.
b**3*(b - 2)/3
Let b(x) be the third derivative of x**8/168 - 2*x**7/35 + 3*x**6/20 - 3*x**2 - 45. Factor b(u).
2*u**3*(u - 3)**2
Suppose -3*m = 51*h - 55*h + 23, h - 7 = m. Let -1/4*c + 0 - 5/8*c**h = 0. What is c?
-2/5, 0
Let t = 1/875 + 1747/2625. Solve 0*h + t - 2/3*h**2 = 0.
-1, 1
Let d = -570 + 575. Let b(z) be the third derivative of -1/30*z**d + 0*z - 1/12*z**4 + 1/3*z**3 - 8*z**2 + 1/60*z**6 + 0. Factor b(h).
2*(h - 1)**2*(h + 1)
Factor 1/2*a**3 - 1/2*a**2 + 0 - a.
a*(a - 2)*(a + 1)/2
Factor 50/13*v - 2/13*v**2 + 108/13.
-2*(v - 27)*(v + 2)/13
Let l(i) be the third derivative of i**5/12 - 85*i**4/24 - 69*i**2. Find b such that l(b) = 0.
0, 17
Let n(a) = 106*a - 43. Let z be n(3). Let v = 1929/7 - z. Factor -v*i + 4/7*i**3 + 8/7*i**2 - 8/7.
4*(i - 1)*(i + 1)*(i + 2)/7
Let z(u) = 80*u**4 - 822*u**3 - 426*u**2 + 440*u - 108. Let j(r) = r**4 - r**3 + 2. Let q(i) = 36*j(i) + 2*z(i). Factor q(v).
4*(v - 9)*(v + 1)*(7*v - 2)**2
Let b(g) be the third derivative of g**8/336 - 13*g**7/210 + 17*g**6/60 + 31*g**5/30 - 35*g**4/24 - 49*g**3/6 - 166*g**2. Suppose b(i) = 0. Calculate i.
-1, 1, 7
Let s(h) be the first derivative of 9/4*h**4 - 3*h**2 + 4 - 6/5*h**5 + 3*h**3 + 0*h. Find f, given that s(f) = 0.
-1, 0, 1/2, 2
Let c(a) be the second derivative of 3*a**7/280 + a**6/40 + a**5/40 + a**4 + a. Let x(d) be the third derivative of c(d). Factor x(s).
3*(3*s + 1)**2
Let w(i) be the second derivative of 3*i**7/28 - 29*i**6/15 + 277*i**5/20 - 48*i**4 + 279*i**3/4 + 27*i**2 - 373*i + 2. Factor w(t).
(t - 4)*(t - 3)**3*(9*t + 1)/2
Suppose 0 = -23*p + 12*p + 13*p - 4. Factor -4/11*m**p - 2/11*m + 2/11*m**5 + 0*m**3 + 0 + 4/11*m**4.
2*m*(m - 1)*(m + 1)**3/11
Let t(g) be the second derivative of 3*g**5/20 - 8*g**4 - 14*g + 18. Factor t(n).
3*n**2*(n - 32)
Let g = -386 - -13512/35. Let k(p) be the first derivative of -4 - 2/7*p**2 - 2/7*p + 0*p**3 + 1/7*p**4 + g*p**5. Find q, given that k(q) = 0.
-1, 1
Factor 0*y**3 - 2*y**3 + 0*y**5 + 2*y**5 + y**5 - y**5.
2*y**3*(y - 1)*(y + 1)
Suppose -4*z = -2*d - 18, -21 = -5*z + 3*d - d. Find u, given that 6*u**2 - u**3 - z*u**2 + 1 + 3*u**2 - 3*u - 3*u**2 = 0.
1
Let x(c) be the second derivative of c**6/120 - c**5/12 + 7*c**4/24 - c**3/2 + 5*c**2/2 + 12*c. Let k(q) be the first derivative of x(q). Solve k(h) = 0 for h.
1, 3
Let a(o) be the third derivative of o**9/1512 + o**8/168 - o**7/70 + 11*o**3/6 + 32*o**2. Let q(w) be the first derivative of a(w). Suppose q(y) = 0. What is y?
-6, 0, 1
Let d(v) be the first derivative of 13 + 1/2*v**4 + 1/5*v**5 - 1/3*v**3 + 0*v - v**2. Factor d(u).
u*(u - 1)*(u + 1)*(u + 2)
Let z(h) = h**2 - 1. Let k(a) = 5*a**3 + 109*a**2 + 244*a + 83. Let f(c) = -4*k(c) - 12*z(c). Factor f(j).
-4*(j + 2)*(j + 20)*(5*j + 2)
Let q(n) = n**2 - n - 2. Suppose 0 = c - 8*c + 14. Let f be q(c). Suppose 0*y + f + 3/2*y**2 = 0. Calculate y.
0
Suppose o + 0 = 4. Factor 12*p**o - 5*p**5 + 6*p**4 + 25*p**3 + 2*p**4.
-5*p**3*(p - 5)*(p + 1)
Let u be (816/(-1224))/((-4)/3). Factor 1/4*g**4 - 3/4*g**3 + 0*g + u*g**2 + 0.
g**2*(g - 2)*(g - 1)/4
Factor 20*x + 7/4*x**3 + 13*x**2 - 16.
(x + 4)**2*(7*x - 4)/4
Let d(f) be the first derivative of f**5/10 + 5*f**4/8 - 13*f**3/6 + 7*f**2/4 + 60. Factor d(r).
r*(r - 1)**2*(r + 7)/2
Suppose 561*s - 33 = 550*s. Factor -5/4*a**s - 5/2 - 25/4*a - 5*a**2.
-5*(a + 1)**2*(a + 2)/4
Let y(i) be the third derivative of i**6/360 - 7*i**5/180 + 5*i**4/24 - i**3/2 + 68*i**2. Factor y(b).
(b - 3)**2*(b - 1)/3
Let k(q) = q**2 - 11*q + 20. Let r be k(9). Let 36*c**3 + 30*c**4 - 2*c**3 + 7*c**5 - 7*c**3 + r*c**5 + 6*c**2 = 0. What is c?
-2, -1, -1/3, 0
Let n be (-28 - -3)/(-25) + (-2)/(-1) + -1. Suppose -1/2*r**3 + 1/8*r**5 + 3/8*r + 1/4*r**n - 1/4 + 0*r**4 = 0. What is r?
-2, -1, 1
Let t(s) be the first derivative of 14*s**5/5 - 3*s**4 + 6*s**3/7 + 295. Let t(m) = 0. What is m?
0, 3/7
Let a be (2835/(-14))/((-3)/6). Solve -189*o + 49*o - 20 - a*o**4 - 270*o**2 + 205*o**2 + 630*o**3 = 0.
-2/9, 1
Suppose -64*r + 59*r + 135 = 0. Factor 2*f + 29*f**3 - 2*f - r*f**3 + 4*f**2.
2*f**2*(f + 2)
Let n be 319 + -308 - (-94)/(-10). Solve 2*j**3 - 2/5*j**4 - 12/5*j**2 + 16/5 - n*j = 0 for j.
-1, 2
Let i(g) be the second derivative of g**8/2800 - g**6/600 + 8*g**3/3 + 22*g. Let n(m) be the second derivative of i(m). Factor n(a).
3*a**2*(a - 1)*(a + 1)/5
Factor 34*h + 3/2 - 11*h**3 + 43/2*h**2.
-(h - 3)*(h + 1)*(22*h + 1)/2
Let n(q) be the third derivative of -q**8/48 - 13*q**7/105 + q**6/120 + 11*q**5/15 - q**4/2 - 7*q**2 - 3. Find s such that n(s) = 0.
-3, -2, 0, 2/7, 1
Let z(v) be the first derivative of -14/9*v**3 + 2/3*v - 2/3*v**2 - 2/3*v**4 + 4. Find t, given that z(t) = 0.
-1, 1/4
Let x(u) = -9*u**5 - 20*u**4 + 56*u**3 - 4*u**2. Let w(l) = -l**5 - l**3 - l**2. Let n(r) = 4*w(r) - x(r). Factor n(v).
5*v**3*(v - 2)*(v + 6)
Let l(i) = 26*i**2 - 519*i - 18. Let o be l(20). Solve -2/9*f**3 + 0*f**o + 2/9*f + 0 = 0 for f.
-1, 0, 1
Let a(o) = 55*o**2 - 105*o - 370. Let r(s) = 8*s**2 - 15*s - 53. Let y(h) = 3*a(h) - 20*r(h). Factor y(w).
5*(w - 5)*(w + 2)
Suppose -3 - 14 = -5*a - 2*h, 4*a + 4*h = 16. Suppose 0*l - 3*l - 9 = -a*d, -15 = -5*d. Factor -2/5*y**3 - 2/5*y**2 + l*y + 0.
-2*y**2*(y + 1)/5
Let n(p) = -2*p - 21. Let s be n(-10). Let u be 0 + s + 5 - (0 - -2). Suppose -2/11 - 2/11*g**u - 4/11*g = 0. What is g?
-1
Let k be ((-654)/10)/((-3591)/3990). Suppose -98/3*w**4 - 24*w - k*w**2 - 8/3 - 84*w**3 = 0. What is w?
-1, -2/7
Let w(y) = 2*y**2 + 38*y - 360. Let t be w(7). Suppose 8/17*u**3 + 2/17*u**t + 8/17*u**2 + 0 + 0*u = 0. What is u?
-2, 0
Suppose -7*r = -12 - 2. Let m(i) = i**3 - 2*i**2 - 2*i + 1. Let y be m(3). Factor 10*k**y - 11*k**4 - r*k + k**2 + k + k**3.
-k*(k - 1)**2*(k + 1)
Let k(j) be the first derivative of -j**4/16 + j**3/2 - 3*j**2/2 + 2*j + 19. Let k(q) = 0. What is q?
2
Let c = 24865/1958 + 4/4895. Let a = c + -61/5. Solve a*z**2 + 1 + 3/2*z = 0.
-2, -1
Let n be 2 + (-2382)/(-2871) + -3. Let z = 1/87 - n. Find q, given that 2/11*q**2 + 2/11*q**3 - 2/11 - z*q = 0.
-1, 1
Let j = 10 + -8. Let z(h) = h**3 + 8*h**2 + 10*h + 6. Let b be z(-6). Determine u so that -b*u**j + 3*u**3 - 6 - 5*u**3 - 2*u**3 - 6*u - 14*u = 0.
-3, -1, -1/2
Let f(m) = -7*m - 112. Let y be f(