2/5*m**5 = 0.
-2, 0, 1/4, 1
Suppose 0 = -5*y - 5 + 35. Let q be 4 - ((2 - y) + 6). Factor -2 - 8*h**2 + 250*h**4 - 16*h - 107*h**q - 5*h**2 - 12*h - 100*h**3.
2*(h - 1)*(5*h + 1)**3
Let k(z) be the first derivative of -z**6/9 + 6*z**5/5 - 29*z**4/6 + 26*z**3/3 - 6*z**2 - 518. Solve k(p) = 0.
0, 1, 2, 3
Let r(d) = 4*d**4 + 7*d**3 + 9*d**2 - 3*d - 3. Let q(j) = 2*j**4 + 6*j**3 + 8*j**2 - 2*j - 2. Let g(s) = 3*q(s) - 2*r(s). Factor g(h).
-2*h**2*(h - 3)*(h + 1)
Let z = -33/31 + 1813/1674. Let w(u) be the second derivative of -4/27*u**3 - 4/9*u**2 + 4*u - z*u**4 + 0. Determine d so that w(d) = 0.
-2
Let s(u) be the third derivative of 1/100*u**5 - 1/40*u**4 + 0*u + 0 - 30*u**2 - 1/5*u**3. Solve s(a) = 0.
-1, 2
Let r(a) be the second derivative of 3/140*a**5 - 1/28*a**4 + 12*a + 0*a**3 - 1/98*a**7 + 0 + 0*a**2 + 1/70*a**6. Solve r(b) = 0 for b.
-1, 0, 1
Suppose -67*j = -69*j. Factor -35 - 2*u**2 + j*u**2 + 0*u**2 + 8*u + 27.
-2*(u - 2)**2
Let u be 76/18 - (7/(-9) - -1). Suppose -u*k - k = -k. What is g in -1/4*g**3 - 1/4*g**2 + k*g + 0 = 0?
-1, 0
Let r(c) be the third derivative of c**9/181440 - c**8/3360 + c**7/140 - c**6/10 + 2*c**5/5 - 23*c**2. Let n(k) be the third derivative of r(k). Factor n(f).
(f - 6)**3/3
Let w(p) be the third derivative of -p**5/450 + 4*p**4/15 + 14*p**2 - 7. Find j such that w(j) = 0.
0, 48
Let 284/7*o**3 - 2/7*o**5 + 0*o + 192/7*o**2 + 0 + 90/7*o**4 = 0. What is o?
-2, -1, 0, 48
Let m(s) be the third derivative of -17*s**6/8 + 21*s**5/5 + s**4/8 + 348*s**2. Factor m(j).
-3*j*(j - 1)*(85*j + 1)
Let s(q) be the first derivative of q**4/42 + 2*q**3/9 + 2*q**2/21 - 80*q/21 - 345. Factor s(a).
2*(a - 2)*(a + 4)*(a + 5)/21
Let h be (-774)/(-129) + 86/(-18) + -1. Factor 2/3*n**2 + h - 10/9*n + 2*n**3.
2*(n + 1)*(3*n - 1)**2/9
Let k(y) be the first derivative of y**6/16 + 7*y**5/20 + 5*y**4/8 + y**3/3 + 36. Find l such that k(l) = 0.
-2, -2/3, 0
Determine n so that 18*n**3 + 0*n**2 + 18*n**3 - 3*n**2 - 35*n**3 = 0.
0, 3
Suppose 2*n + 2*p = 3 + 1, -2*n = -3*p - 19. Determine t so that -28*t**4 + 18*t**3 - 5*t + 30*t**3 + 5*t**n + 6 - 7*t**2 - 19*t**2 = 0.
-2/5, 1, 3
Let -61*z**2 - 77*z**2 + 18*z**3 + 20*z**4 + 46*z**2 + 38*z**3 + 16*z = 0. What is z?
-4, 0, 1/5, 1
Let d = 11557 + -115569/10. Let 0 + 3/5*x**2 + d*x**3 + 9/10*x = 0. What is x?
-3, 0
Let o be 6/(-4)*((-40)/(-15))/(-2). Factor 14*m**3 + 29*m - 2 - o*m - 4*m**4 - 18*m**2 - 17*m.
-2*(m - 1)**3*(2*m - 1)
Let u(x) = x**3 - 6*x**2 + 48*x + 72. Let j(q) be the third derivative of -q**5/30 + 2*q**4/3 + 4*q**3 - 12*q**2. Let d(t) = 7*j(t) - 2*u(t). Factor d(a).
-2*(a - 3)*(a + 2)**2
Factor 178*g**2 + 97*g**2 + g**3 + 5*g**5 - 28*g**4 - 16*g**3 + 250*g - 7*g**4.
5*g*(g - 5)**2*(g + 1)*(g + 2)
Suppose 2*u = 0, -4*u + 0*u + u + 8 = 4*g. Factor -s + s**3 + 1/2 - 1/2*s**4 + 0*s**g.
-(s - 1)**3*(s + 1)/2
Let z(v) be the third derivative of 0*v**3 + 0*v - 1/100*v**5 + 0 - 3/40*v**4 - 24*v**2. Factor z(t).
-3*t*(t + 3)/5
Suppose 4*w + 15 = -3*v, 3*w = -0*w + 3*v + 15. Let a be 3*10 + w/3. Solve -30*g**2 + 2*g**3 + 8 + a*g - 12*g**3 - 14*g + 22*g**4 - 6*g**5 = 0 for g.
-1, -1/3, 1, 2
Let u(a) be the second derivative of a**5/120 + a**4/48 - a**3/6 - 7*a**2 - 13*a. Let x(c) be the first derivative of u(c). Factor x(i).
(i - 1)*(i + 2)/2
Let f be -32*(-266)/2432 + (0 + -8)/(-2). Suppose -15/2*w - 18*w**4 - 3 + 21*w**2 + f*w**3 = 0. Calculate w.
-1, -1/4, 2/3, 1
Let y(n) be the first derivative of n**4/8 + 5*n**3/4 + 3*n**2 - 5*n + 23. Let d(h) be the first derivative of y(h). Find v, given that d(v) = 0.
-4, -1
Let h be 20*(3 - 3 - 7/(-2)). Solve 134*c**4 - 11*c**5 - 88*c**4 - h*c**3 + c**5 + 8*c - 8 + 34*c**2 = 0.
-2/5, 1, 2
Let c(f) be the second derivative of 2*f**7/105 - f**6/30 + 31*f**2/2 + 27*f. Let a(m) be the first derivative of c(m). Factor a(t).
4*t**3*(t - 1)
Let s(p) be the third derivative of p**5/45 + 7*p**4/9 + 26*p**3/9 - 109*p**2. Factor s(h).
4*(h + 1)*(h + 13)/3
Let p be ((-142)/426)/(2/(-12)). Let g(h) be the second derivative of -1/15*h**4 + 0 + 7*h - 8/15*h**3 - 6/5*h**p. Determine u so that g(u) = 0.
-3, -1
Let f(z) be the second derivative of 0 + 1/5*z**4 + 8/5*z**3 + 32/5*z**2 + z + 1/100*z**5. Let f(c) = 0. Calculate c.
-4
Let y(f) be the second derivative of -f**4/84 - 29*f**3/21 - 841*f**2/14 + 31*f - 2. Suppose y(q) = 0. What is q?
-29
Let m be (-6)/(-2) - (-20)/(-20). Determine o, given that -6*o**3 - 3*o**3 + 3*o**3 + 4*o**3 + m*o = 0.
-1, 0, 1
Suppose 4*j = -0*g - 4*g, 4 = -g - 3*j. Find b, given that -7*b**g + 2*b + 5*b**2 - b + b = 0.
0, 1
Let x(f) = f**4 - 12*f**3 - 3*f**2 + 5*f. Let r(k) = 12*k**3 + 4*k**2 - 4*k. Suppose -5*v = -5 - 20. Let j(l) = v*r(l) + 4*x(l). Factor j(z).
4*z**2*(z + 1)*(z + 2)
Let x(n) be the second derivative of 0*n**2 + 1/40*n**5 + 0*n**3 + 0*n**4 - 1/168*n**7 + 0 - 3*n - 1/120*n**6. Factor x(y).
-y**3*(y - 1)*(y + 2)/4
Let r = -57 - -61. Determine x so that 51*x + 213*x**2 - 315*x**r + 12 - 13*x - 6*x**3 + 55*x + 3*x = 0.
-2/5, -1/3, -2/7, 1
Let g(c) = -c + 5. Let q be g(-1). Let k be 4/3 + (-2)/(-3). Solve -2*x - 2*x**3 - 3*x**4 + 7*x**4 + 4*x**3 - q*x**k + 0*x**3 + 2 = 0.
-1, 1/2, 1
Let y(v) = -32*v**3 - 37*v**2 - 29*v + 309. Let n(i) = 7*i**3 + 9*i**2 + 7*i - 77. Let f(d) = 9*n(d) + 2*y(d). What is u in f(u) = 0?
-3, 5
Suppose 8 = -3*j + 53. Let t be (6/(-15))/((-3)/j). Let 0 - 11/2*d**t + d = 0. What is d?
0, 2/11
Factor 4/7*w**5 - 24/7 - 40/7*w**4 - 160/7*w**2 + 120/7*w**3 + 100/7*w.
4*(w - 6)*(w - 1)**4/7
Let w(a) be the first derivative of -a**6/6 + 6*a**5/5 - 5*a**4/4 - 154. Factor w(r).
-r**3*(r - 5)*(r - 1)
Let t = 222 - 201. Suppose 34 = t*i - 50. Determine o so that -1/5*o**i - 2/5*o + 0*o**2 + 2/5*o**3 + 1/5 = 0.
-1, 1
Let w(t) be the third derivative of -t**5/120 - 43*t**4/24 - 1849*t**3/12 + 49*t**2. Find r such that w(r) = 0.
-43
Factor 0 - 3/4*l**2 + 3/4*l.
-3*l*(l - 1)/4
Let n(a) be the third derivative of 1/1800*a**6 + 0 + 1/120*a**4 - 1/6*a**3 + 2*a**2 - 1/300*a**5 + 0*a. Let s(i) be the first derivative of n(i). Factor s(q).
(q - 1)**2/5
Let r = 92/423 - -1894/2961. Factor 9/7*y**2 + r*y**3 + 0 - 6/7*y.
3*y*(y + 2)*(2*y - 1)/7
Suppose 5*h - 5*v - 62 = 3, 2*h = -4*v + 20. Let f(c) = 13*c - 1. Let k be f(1). Factor -3 + 2*r**2 + 9 - h*r + k.
2*(r - 3)**2
Let j(t) be the second derivative of 2/21*t**4 + 0*t**2 + 3/5*t**6 - 2*t + 0 + 33/35*t**5 - 8/21*t**3. Find u such that j(u) = 0.
-2/3, 0, 2/7
Factor 116/5*a**2 - 48*a + 16/5.
4*(a - 2)*(29*a - 2)/5
Let g = -94 - -98. Suppose 3*k = g*k - 6*k. Solve k + 30/17*b**3 - 16/17*b**4 - 32/17*b**5 + 16/17*b**2 + 2/17*b = 0 for b.
-1, -1/4, 0, 1
Let b(k) be the second derivative of -k**4/42 + 4*k**3/7 - 20*k**2/7 + 17*k - 5. Factor b(l).
-2*(l - 10)*(l - 2)/7
Let t = -2 - -2. Let d be 9 - 2*(-63)/(-18). Factor 2/11*o**d - 2/11*o**3 + t*o + 0.
-2*o**2*(o - 1)/11
Let i be -55*(-60)/396 + (-8)/6 + -4. Suppose 0 + 2/3*z**i - 8/3*z**2 + 2*z = 0. What is z?
0, 1, 3
Let t(x) = 7*x**3 - x**2 + x + 1. Let z be t(1). Suppose -2*l**5 + z*l**2 - 9*l**4 + 4*l - 2*l**5 + l**4 = 0. Calculate l.
-1, 0, 1
Let l(m) = m**2 + 3*m + 10. Let v = 40 + -46. Let a be l(v). Solve 4*b**3 + 15*b**3 - 3*b**3 + a*b**2 + 8 + 8*b - 12 = 0.
-1, 1/4
Suppose -5*m - 10 = 15. Let r(a) = -2*a**2 - 2*a + 4. Let y(i) = -i - 1. Let h(v) = v + 2. Let w(o) = -2*h(o) - 3*y(o). Let d(j) = m*w(j) - r(j). Factor d(f).
(f - 1)*(2*f - 1)
Let t(m) = -31*m**2 + 88*m + 93. Let o(n) = -7*n**2 + 22*n + 23. Let l(s) = -26*o(s) + 6*t(s). Let l(y) = 0. Calculate y.
-10, -1
Suppose 256/9*y - 4096/9 - 4/9*y**2 = 0. Calculate y.
32
Let r(k) be the third derivative of 0*k**3 - 1/210*k**7 + 0 + 0*k + 0*k**4 - 32*k**2 + 1/20*k**6 - 3/20*k**5. Find z such that r(z) = 0.
0, 3
Let d(n) be the first derivative of n**4/12 - 22*n**3/9 - 47*n**2/6 - 8*n - 748. Factor d(l).
(l - 24)*(l + 1)**2/3
Let h be 9/(-11) + (2 - 1). Let y = 5510 + -5510. Factor y - h*f**2 + 2/11*f.
-2*f*(f - 1)/11
Let c(d) be the second derivative of d**5/50 - d**4/15 - d**3/3 + 6*d**2/5 + 25*d. Factor c(y).
2*(y - 3)*(y - 1)*(y + 2)/5
Let y = 1446 + -492. Let x = 12410/13 - y. What is w in 8/13*w**2 + 2/13 + x*w = 0?
-1/2
Suppose 0 - 2 = -2*d, 21 = -4*j - 3*d. Let s = -2 - j. Find a such that -a**s + a**3 - 6*a**5 + 5*a**5 + 2*a**4 - a**2 = 0.
-1, 0, 1
F