7*g**3 - 3/7*g + f - 6/7*g**2.
-3*g*(g + 1)**2/7
Let g be (-8)/(-1*(4 + -2)). Suppose -2*s - 4*p = -0*s + g, -2*p = 2*s. Factor 4*z**3 - 2 - 5*z**3 - 3*z**3 - s*z + 2*z**2 + 6*z**3.
2*(z - 1)*(z + 1)**2
Let v(c) be the first derivative of -14*c**3 + 26*c**2 - 10*c + 159. Let v(z) = 0. Calculate z.
5/21, 1
Let o(m) be the second derivative of -m**7/14 - 7*m**6/10 - 57*m**5/20 - 25*m**4/4 - 8*m**3 - 6*m**2 - 292*m. Find y, given that o(y) = 0.
-2, -1
Let q(o) = 8*o**2 - 5*o + 6. Let a(r) = 2*r**2 - r + 2. Let x(y) = 3*a(y) - q(y). Factor x(s).
-2*s*(s - 1)
Let i be ((-10)/(-75))/(48/(-20) - -3). Solve -4/9*u**4 - 2/9*u**3 - i + 2/3*u**2 + 2/9*u = 0.
-1, 1/2, 1
Let q(o) be the third derivative of o**6/60 - o**4/12 - 42*o**2. Suppose q(k) = 0. What is k?
-1, 0, 1
Let w be -4*((-2)/(-12) + (-3)/9). Let 6*h**2 - 8/3*h**3 - 11/3*h - 4/3*h**4 + w + h**5 = 0. What is h?
-2, 1/3, 1
Let q(b) be the third derivative of -b**5/90 + 5*b**4/36 - 4*b**3/9 + 166*b**2. Find a, given that q(a) = 0.
1, 4
Suppose 4 + 0 = r. Let c(p) be the first derivative of p + 0*p**3 + r + 5*p**2 + p**2 + 3*p + 4*p**3 + p**4. Factor c(u).
4*(u + 1)**3
Let t(s) be the second derivative of -s**5/110 + s**4/11 + 7*s**3/33 + 2*s - 205. Let t(f) = 0. What is f?
-1, 0, 7
Let z(x) = -3*x**2 + 9*x + 48. Let q(n) = 35*n**2 - 105*n - 575. Let l(b) = -2*q(b) - 25*z(b). Determine t, given that l(t) = 0.
-2, 5
Suppose 3*n = -k + 5, 0*k = -2*k - 4*n + 8. Let f be -2 + -1 + k + 3. Solve -5*m - 5*m**f + 13*m + m**3 - 2 + 0*m - 2 = 0 for m.
1, 2
Let u(z) be the third derivative of 3*z**6/20 + z**5/20 - 583*z**2. Factor u(n).
3*n**2*(6*n + 1)
Let v(n) = 0 - 7*n - 12*n**3 + 14*n**2 + 3 + 7*n**4 - 9*n. Let k(c) = 15*c**4 - 24*c**3 + 27*c**2 - 33*c + 6. Let u(f) = 4*k(f) - 9*v(f). Solve u(i) = 0 for i.
1
Let p(s) = -10*s**2 - 8*s + 2. Let h(d) = d**3 + 1. Let x(r) = 2*h(r) - p(r). What is v in x(v) = 0?
-4, -1, 0
Let 43/4*t**2 + 1/4*t**4 - 18 - 15/4*t - 13/4*t**3 = 0. Calculate t.
-1, 3, 8
Find d, given that 0*d**2 - 2700 + 72094*d - 3*d**2 - 72274*d = 0.
-30
Let r be -21*(-4)/(-12) + 10. Let f(x) be the first derivative of -3/10*x**2 + 2/5*x - 7 - 1/3*x**r. Factor f(p).
-(p + 1)*(5*p - 2)/5
Solve 0 - 3/4*f**4 + 9*f - 9*f**3 + 3/4*f**2 = 0.
-12, -1, 0, 1
Let n = 75/2 - 36. Let h(k) be the second derivative of -19/4*k**3 - 249/40*k**5 + 0 - k + 9/7*k**7 + 8*k**4 + n*k**2 + 3/5*k**6. Find o, given that h(o) = 0.
-2, 1/3, 1/2
Let z = 114 - 76. Factor 2 + 3*u + z*u**2 - 21*u + 10*u**2 - 32*u**3.
-2*(u - 1)*(4*u - 1)**2
Let i be (6/(-105))/((-18)/180) + 5/7. Factor i*n**2 - 12/7*n + 4/7.
(3*n - 2)**2/7
Determine v so that 4/5*v**3 - 32/5 - 8*v - 4/5*v**2 = 0.
-2, -1, 4
Let w = -104 - -106. Find u, given that 2/3*u**w + 0 - 2/3*u**3 + 0*u = 0.
0, 1
Let k be (0 + 0 + 79)/(31042/238). Let h = k - 5/83. Factor h*c**2 + 0*c - 2/11*c**3 - 8/11.
-2*(c - 2)**2*(c + 1)/11
Suppose -4*w + 10 - 2 = 0. Suppose -7*f = -w*f - 20. Factor -3*u**f + 12 + 6*u**2 - 3*u**3 - 12.
-3*u**2*(u - 1)*(u + 2)
Let p(s) = -2*s**3 - s**2 - 2*s - 1. Let x(l) = -l**3 - 9*l**2 - 8*l - 1. Let q be x(-8). Let m be p(q). Factor -6/5*b - 4/5 - 2/5*b**m.
-2*(b + 1)*(b + 2)/5
Factor 23*p**3 + 7*p**5 - 3*p**5 - 38*p**3 + 8*p**4 - 13*p**3 + 16*p**2.
4*p**2*(p - 1)**2*(p + 4)
Let j be (15 - 16)/(4/(-12)). Determine s so that 1/4*s**5 + s**4 - s**2 + 0 + 3/4*s**j - s = 0.
-2, -1, 0, 1
Let g(t) = 3*t**2 - 13*t - 4. Let v be g(5). Find w, given that -16 - 2*w**2 - 3*w**2 + 2*w**4 - 24*w + w**2 + v*w**3 = 0.
-2, -1, 2
Let 18 + 32*n**3 - 66*n**2 - 49 - 3*n**4 + 4 + 72*n - 8*n**3 = 0. What is n?
1, 3
Factor -1/3*a**3 + 2*a + 0 - 5/3*a**2.
-a*(a - 1)*(a + 6)/3
Let x be 434/93*8/14. Factor 4/3*j + 4/3*j**2 - x.
4*(j - 1)*(j + 2)/3
Let s be (-1449)/(-4095) - (-1)/(-5). Let -6/13*w**2 + 6/13 - s*w**3 + 2/13*w = 0. Calculate w.
-3, -1, 1
Let s be (-32 - -28)*2/(-4). Suppose 0*k - 3*z = 3*k - 33, -3*k + 27 = z. Factor k*b - 10 - b**s + 16 - 22.
-(b - 4)**2
Factor 4/9*z**3 - 4*z + 4 - 4/9*z**2.
4*(z - 3)*(z - 1)*(z + 3)/9
Let z(i) be the first derivative of -i**5/540 + i**4/54 + i**2 + 2. Let n(b) be the second derivative of z(b). Factor n(x).
-x*(x - 4)/9
Find n, given that -84*n + 44*n**2 - 88445 + 42*n**2 - 135*n**2 + 44*n**2 + 1414*n = 0.
133
Suppose 251*z - 18 = 249*z. Let 6 - 3*s**3 + 20*s + 6 + 8*s - z*s**3 - 28*s**2 = 0. Calculate s.
-3, -1/3, 1
Let a(f) = f**3 - f**2 - f. Suppose 6*l - 12 = -0*l. Let h be a(l). Determine s, given that 0 - 1/2*s**4 + 1/2*s**5 + 0*s**h + 0*s**3 + 0*s = 0.
0, 1
Factor 990*r - 95*r**2 + 5/2*r**3 - 1620.
5*(r - 18)**2*(r - 2)/2
Let v(m) be the first derivative of 7 - 1/100*m**5 - 1/30*m**4 + 1/5*m**2 - 2*m + 1/30*m**3. Let u(q) be the first derivative of v(q). Factor u(c).
-(c - 1)*(c + 1)*(c + 2)/5
Let y = -61266/5 - -12254. Factor -6/5*i**2 + 8/5 + 1/5*i**4 + y*i - 1/5*i**3.
(i - 2)**2*(i + 1)*(i + 2)/5
Let i be (-1053)/(-207) + (-16 - (-7 - 4)). Suppose -4/23*n + 2/23*n**2 + i = 0. Calculate n.
1
Let p(a) be the third derivative of a**8/42 + 31*a**7/105 + 19*a**6/15 + 17*a**5/10 - 3*a**4/2 - a**2 - 63. Suppose p(h) = 0. Calculate h.
-3, -2, 0, 1/4
Factor 25/6*z**2 + 24 + 20*z.
(5*z + 12)**2/6
Let c(q) be the third derivative of -q**6/40 + q**5/4 + 4*q**4 + 18*q**3 + 2*q**2 + 76. Suppose c(u) = 0. What is u?
-2, 9
Find c such that 2/11*c**2 + 42/11*c + 40/11 = 0.
-20, -1
Find i, given that -12*i + 16*i**5 + 68*i**2 - 71*i**3 - 8*i**3 - 5*i**3 + 12*i**4 = 0.
-3, 0, 1/4, 1
Let n(f) be the second derivative of f**5/25 - 2*f**4/3 + 14*f**3/15 + 36*f**2/5 + 2*f + 72. Factor n(x).
4*(x - 9)*(x - 2)*(x + 1)/5
Factor 133563 + 1266*w - 14*w**2 + 16*w**2 + 2*w**2 - w**2.
3*(w + 211)**2
Let y be 204/140 + 177/(-295). Solve -8/7*o - y - 2/7*o**2 = 0.
-3, -1
Suppose -13 = -3*t - 1. Factor -3*f**5 + 7*f**5 + 2*f - t*f**3 - 2*f**5.
2*f*(f - 1)**2*(f + 1)**2
Let q(m) = -2*m - 18. Let v be q(-14). Suppose 0 = 2*g + 3*g - 15. Find z such that -2*z**g - z**2 - z**3 - 12 + v*z**2 = 0.
-1, 2
Let i(k) be the first derivative of -2*k**6/3 + 64*k**5/5 - 64*k**4 + 424*k**3/3 - 158*k**2 + 88*k - 810. Factor i(s).
-4*(s - 11)*(s - 2)*(s - 1)**3
Suppose 3*b**2 - 8*b + 0 - b + 0 + 8*b = 0. What is b?
0, 1/3
Factor -3/2*u**3 - 1/2*u**4 + 6*u + 0 + 2*u**2.
-u*(u - 2)*(u + 2)*(u + 3)/2
What is u in -7/2*u + 6 - 1/4*u**2 + 1/4*u**3 = 0?
-4, 2, 3
Let h be ((-162)/(-30) - 5)*1. Let y(l) be the second derivative of 0*l**2 + h*l**4 - 3*l + 0 - 4/15*l**3 + 7/50*l**5. Factor y(t).
2*t*(t + 2)*(7*t - 2)/5
Let s(m) be the first derivative of -m**3/9 + 2*m**2 + 15*m + 725. Factor s(g).
-(g - 15)*(g + 3)/3
Let f be 8 - (1/3 + (-1281)/(-168)). Let p(o) be the second derivative of 1/48*o**4 - 1/4*o**2 - 6*o + 0 - f*o**3. Find n such that p(n) = 0.
-1, 2
Let f(v) be the first derivative of v**6/600 - v**5/25 + 7*v**4/40 - 5*v**3 + 19. Let h(l) be the third derivative of f(l). Factor h(u).
3*(u - 7)*(u - 1)/5
Let t(a) be the first derivative of 2*a**5/165 - 7*a**4/132 - 2*a**3/33 - 24*a**2 + 29. Let i(x) be the second derivative of t(x). Factor i(l).
2*(l - 2)*(4*l + 1)/11
Let o(w) be the second derivative of 5*w**7/399 - 8*w**6/95 - 5*w**5/38 + 36*w**4/19 - 196*w**3/57 - 48*w**2/19 - 157*w - 1. Let o(x) = 0. Calculate x.
-3, -1/5, 2, 4
Let n(h) be the third derivative of h**5/90 - 17*h**4/6 + 101*h**3/9 - 360*h**2. Factor n(g).
2*(g - 101)*(g - 1)/3
Suppose -17*p + 9*p + 136 = 0. Find i such that -32*i + 5*i**2 - 75*i + 500 + p*i - 10*i = 0.
10
Let j(m) be the third derivative of m**7/2520 - 17*m**6/2880 + m**5/120 - 3*m**4/8 - 6*m**2. Let z(g) be the second derivative of j(g). Factor z(h).
(h - 4)*(4*h - 1)/4
Let n(h) = -h**3 - 2*h**2 - h - 2. Let s be n(-2). Factor w**2 - 3 + s*w**2 + 7*w - 16*w + 11*w.
(w - 1)*(w + 3)
Let t be -2 + (12/(-14) - 4/28). Let n be 3 - (t + 2/(36/105)). Find j such that 1/3 + 0*j**2 - n*j**3 + 1/2*j = 0.
-1, 2
Let r(f) = -3*f**2 + 2*f - 2*f**3 + 3*f**2 + 0*f - 4*f**2. Let v = -77 + 76. Let b(s) = s**4 + s**3 - s + 1. Let u(g) = v*r(g) - 2*b(g). Factor u(t).
-2*(t - 1)**2*(t + 1)**2
Let b(f) be the second derivative of f**6/32 - f**5/12 - 25*f**4/96 + 5*f**3/12 - 5*f**2/2 - 7*f. Let t(d) be the first derivative of b(d). Factor t(c).
5*(c - 2)*(c + 1)*(3*c - 1)/4
Let v = 437/4095 + 2/455. Let i(n) be the first derivative of 4/9*n -