(c - 2)*(c + 1)*(c + 6)**2
Let n be (-960)/(-540)*(-18)/(-28). Suppose -2/7*l**4 + 10/7*l**2 + n*l - 8/7 + 2/7*l**5 - 10/7*l**3 = 0. Calculate l.
-2, -1, 1, 2
Let a(b) be the second derivative of -25*b**4/48 + 155*b**3/3 - 1922*b**2 - 39*b. Factor a(v).
-(5*v - 124)**2/4
Suppose 1/4*t**5 - 25/2 + 5/2*t**4 - 8*t**2 + 11/2*t**3 - 95/4*t = 0. What is t?
-5, -1, 2
Suppose 12 = 3*l - 4*p, 4*p + 9 = 4*l + p. Let b(v) be the third derivative of 0 + 0*v**3 - 6*v**2 + 0*v - 1/40*v**6 + l*v**4 - 1/20*v**5. Factor b(j).
-3*j**2*(j + 1)
Suppose 4*t - 5*r - 40 = -12, -r + 4 = 4*t. Let i(m) be the third derivative of 0 + 0*m - 8*m**3 - 1/20*m**5 + m**4 + 3*m**t. Factor i(h).
-3*(h - 4)**2
Let z = -13759/3 - -4591. Let 1/3*r**2 - z*r + 49/3 = 0. Calculate r.
7
Solve 6*t**2 + 72 - 81*t**3 - 42*t**2 - 78 + 39*t = 0.
-1, 2/9, 1/3
Let d(h) = -102 - 6*h**2 + 102 - 2*h + 7*h. Let y(l) be the third derivative of -l**5/60 + l**4/24 + l**2. Let v(m) = 2*d(m) - 10*y(m). Factor v(r).
-2*r**2
Let s(m) be the third derivative of -7*m**5/20 - 57*m**4/8 + 27*m**3 + 169*m**2. Suppose s(k) = 0. What is k?
-9, 6/7
Let w be (-12 - -18) + (2 + -5 - -2). Suppose -7*t = 4*g - 2*t - 32, t + w = 3*g. What is f in 0 - 2/11*f**4 + 6/11*f**g - 4/11*f**2 + 0*f = 0?
0, 1, 2
Let n(k) be the second derivative of 0 + 1/120*k**5 + 3*k - 1/48*k**4 + 0*k**2 - 1/720*k**6 - k**3. Let r(w) be the second derivative of n(w). Factor r(b).
-(b - 1)**2/2
Let x(b) be the second derivative of -b**6/10 - 3*b**5/5 - b**4/4 + 3*b**3 - 516*b. Factor x(n).
-3*n*(n - 1)*(n + 2)*(n + 3)
Suppose -3*p = -c - 5, p + 11 = c + 6*p. Let x be 5 + -2 + c + -4. Factor 0 + 0*j + 0*j**3 + x*j**2 - 2/5*j**5 - 2/5*j**4.
-2*j**4*(j + 1)/5
Factor 32/13*h**4 + 896/13*h + 200/13*h**3 + 2/13*h**5 + 608/13*h**2 + 512/13.
2*(h + 2)**2*(h + 4)**3/13
Suppose 21 = k + 2*k. Suppose 1 - k = -3*l. Factor -5*r**2 + 2 + 7*r**2 + 0*r**l - 7*r + 3*r**3.
(r - 1)*(r + 2)*(3*r - 1)
Let v(r) be the second derivative of r**7/21 + 2*r**6/5 + r**5/10 - 4*r**4 + 16*r**3/3 + 31*r + 1. Factor v(w).
2*w*(w - 1)**2*(w + 4)**2
Let s be ((-2)/(-3))/((10/(-35))/(156/(-91))). Factor -1/2 + 5/6*k**s - 7/6*k - 1/3*k**2 + 1/6*k**5 + k**3.
(k - 1)*(k + 1)**3*(k + 3)/6
Let s(c) be the first derivative of 2*c**2 + 24*c - 22. Let a be s(-6). Factor a*q - 2/11 + 2/11*q**2.
2*(q - 1)*(q + 1)/11
Let f = -304 - -299. Let q be 12*f/(-105)*(-1)/(-4). Let 0*l - q*l**2 + 0 = 0. Calculate l.
0
Let q be 126/35 - (6 - 54/10). Factor 1/11*c - 2/11*c**2 + 0 + 1/11*c**q.
c*(c - 1)**2/11
Let u be -13 + (-12)/(108/(-117)). Determine f so that -1/2*f + u + 0*f**2 + 1/2*f**3 = 0.
-1, 0, 1
Let m be 2/3*3 + 3/(-1). Let z(k) = -k**3 + k**2 - k - 1. Let q(u) = -12*u**3 + 21*u**2 - 30*u - 33. Let r(a) = m*q(a) + 15*z(a). Factor r(v).
-3*(v - 2)*(v + 1)*(v + 3)
Suppose 4*h = 3*r + 3, 4*h - 9 = -4*r + 15. Suppose 274 = 3*m + 4*j, -3*j = -m - 0*j + 87. Factor -48*n - 16*n**3 + 8 - 53*n**3 + 19*n**h + m*n**2.
-2*(n - 1)*(5*n - 2)**2
Let r be ((-12)/(-10))/(14/(-70)). Let n(h) = -11*h**2 - 8*h + 7. Let s(y) = 10*y**2 + 8*y - 6. Let v(j) = r*n(j) - 7*s(j). What is m in v(m) = 0?
-2, 0
Let h(a) = 3*a - 19. Let i be h(7). Determine f, given that -f**2 - 2*f - 4*f**4 + 4*f + 5*f**i - 2*f**5 = 0.
-1, 0, 1
Let i(h) = -4*h**3 + 260*h**2 - 664*h. Let z(o) = o**3 - 87*o**2 + 222*o. Let y(r) = 3*i(r) + 8*z(r). Suppose y(d) = 0. What is d?
0, 3, 18
Let w = 0 - -3. Let i be (17*w/3)/1. Factor 41*p**2 - 12 + 10*p**3 + 11*p**3 + 33*p**2 + 24*p - i*p**2.
3*(p + 1)*(p + 2)*(7*p - 2)
Let x(n) be the third derivative of -25*n**7/21 - 115*n**6/6 - 42*n**5 - 122*n**4/3 - 64*n**3/3 + 418*n**2. Solve x(o) = 0 for o.
-8, -2/5
Suppose -4*z + 240 = -3*a, -2*a + 323 = 6*z - z. Let l = z - 188/3. Factor 0*t + l*t**3 - t**2 + 0.
t**2*(t - 3)/3
Let x(g) = -18*g**3 + 77*g**2 - 77*g + 8. Let s(n) = -54*n**3 + 230*n**2 - 232*n + 24. Let p(f) = 3*s(f) - 8*x(f). Factor p(l).
-2*(l - 2)**2*(9*l - 1)
Let c(l) be the first derivative of l**5/100 - 3*l**4/20 + 4*l**3/15 + 33*l + 33. Let h(o) be the first derivative of c(o). Solve h(p) = 0 for p.
0, 1, 8
Let m(k) = 2*k + 10. Let l be m(5). Let b = l + -17. Let -9*n + b*n**2 + n - 7*n + 3*n = 0. What is n?
0, 4
Find c such that 142/7*c**4 + 0*c + 0 + 0*c**2 + 1/7*c**5 + 5041/7*c**3 = 0.
-71, 0
Suppose -2*c + 3 = -o - 4*o, 4*c + 5*o = 51. Suppose 42*l = 39*l + c. Let -4/7 - 2/7*m + 4/7*m**2 + 2/7*m**l = 0. What is m?
-2, -1, 1
Let u(x) be the first derivative of x**6/30 + x**5/5 + x**4/3 - 7*x**2 - 1. Let l(r) be the second derivative of u(r). Find c such that l(c) = 0.
-2, -1, 0
Let w(x) = -8 + 2 - x**3 + 3*x**2 + 2*x**3 - 6*x + 0*x. Let d be w(-4). Suppose 11 - 11 + 2*l + 0*l**2 - l**d = 0. Calculate l.
0, 2
Factor 0*t - 8/9 + 2/3*t**2 + 2/9*t**3.
2*(t - 1)*(t + 2)**2/9
Factor 256/3 + 608/3*s - 50/3*s**3 + 320/3*s**2.
-2*(s - 8)*(5*s + 4)**2/3
Let c(w) = 2*w**3 - 10*w**2 - 10*w - 2. Let v(l) = l - 5*l**2 + 11*l**2 + 2 + 5*l**2 + 10*l - 3*l**3. Let h(y) = -5*c(y) - 4*v(y). Factor h(i).
2*(i + 1)**3
Suppose 2*d - 4*b + 64 = 4*d, 3*d + b - 91 = 0. Factor 14 + d*g + 5*g**2 + 13 + 18.
5*(g + 3)**2
Let u(x) = -x + 6. Let c be u(-5). Let k be c/(-55) - (-11)/5. Suppose -3*p**2 + 2*p + 12*p**k - 2*p + 6*p = 0. What is p?
-2/3, 0
Let j(l) be the second derivative of -15*l + 0 + 0*l**2 - 2/45*l**3 + 1/18*l**4 + 7/150*l**5. Factor j(f).
2*f*(f + 1)*(7*f - 2)/15
Let c(i) be the third derivative of -i**6/30 + 17*i**5/15 + 3*i**4 - 118*i**2. Find p such that c(p) = 0.
-1, 0, 18
Let d(s) be the first derivative of 4/5*s**2 + 0*s + 38 + 1/10*s**4 + 2/3*s**3. Factor d(b).
2*b*(b + 1)*(b + 4)/5
Suppose 2*f - 20 = -3*f. Determine u, given that u**2 + 20*u - 3 - 12*u**3 - 8*u + 12*u**f - 10*u**2 = 0.
-1, 1/2, 1
Let o(t) be the second derivative of 3*t**4/2 - 28*t**3/3 + 196*t**2/9 - 2*t + 165. Factor o(f).
2*(9*f - 14)**2/9
Let 6/17*x**3 + 8/17*x**4 + 2/17*x**5 + 0 - 8/17*x**2 - 8/17*x = 0. What is x?
-2, -1, 0, 1
Let t be (-649)/(-55) - (11 + 5 + -6). Let -3/5*g**3 - t*g + 12/5*g**2 + 0 = 0. What is g?
0, 1, 3
Let v = 161 - 155. Let m be -4 + (-3)/(-12) + v + -2. Factor 1/4*z**3 + 1/4*z**2 - m - 1/4*z.
(z - 1)*(z + 1)**2/4
Let k be (10/15)/((-1)/(-6)). Factor -9/7*m**k - 1/7*m + 0 - 3/7*m**3 + 5/7*m**2.
-m*(m + 1)*(3*m - 1)**2/7
Let l(o) = o**2 - 1. Let a = 7 - 9. Let z be l(a). Factor 3*f + 18*f**2 - 6*f**z + 3*f**4 - 6*f**3 - 15*f + 3.
3*(f - 1)**4
Let g(d) be the first derivative of -4/27*d**3 - 4/9*d + 4/9*d**2 + 15. Factor g(f).
-4*(f - 1)**2/9
Find n, given that 0 - 1/5*n**3 - 64/5*n - 16/5*n**2 = 0.
-8, 0
Factor 28/11 + 2/11*g**2 - 30/11*g.
2*(g - 14)*(g - 1)/11
Let b(x) be the third derivative of -x**8/336 + x**7/42 - 7*x**6/120 - x**5/60 + x**4/3 - 2*x**3/3 + 129*x**2. Let b(l) = 0. Calculate l.
-1, 1, 2
Let k(x) be the third derivative of x**7/420 - 3*x**6/160 + x**5/24 - x**4/32 + x**2 + 4. Find f such that k(f) = 0.
0, 1/2, 1, 3
Let t(a) = 5*a**3 - 125*a**2 - 124*a - 3. Let h(n) = 10*n**3 - 250*n**2 - 250*n - 5. Let u(m) = 3*h(m) - 5*t(m). Suppose u(k) = 0. What is k?
-1, 0, 26
Let -8/17*b + 8/17*b**3 + 2/17*b**4 + 0 - 2/17*b**2 = 0. What is b?
-4, -1, 0, 1
Let k(q) be the third derivative of q**5/510 + 7*q**4/51 + 196*q**3/51 + 316*q**2. Solve k(l) = 0.
-14
Let 1/4*c**4 - 3/4*c**2 - 1/2 - 1/4*c**3 + 5/4*c = 0. Calculate c.
-2, 1
Let s(m) = m - 9. Let y be s(9). Let v be (2 - 0) + (0 - y). Factor -2*z - 2*z + 2*z**v + 2*z**4 - 8*z**2.
2*z*(z - 2)*(z + 1)**2
Let r(m) be the second derivative of -m**6/120 - 7*m**5/80 - 13*m**4/48 + m**3/8 + 9*m**2/4 - 95*m. Factor r(d).
-(d - 1)*(d + 2)*(d + 3)**2/4
Let t(q) be the first derivative of -25 - 7/36*q**6 - 2/3*q**3 + 0*q**2 + 0*q + 11/6*q**4 - 1/6*q**5. Suppose t(f) = 0. What is f?
-3, 0, 2/7, 2
Let d be 1 + 3 + 77/(-21). Let n(x) be the second derivative of -1/5*x**5 + 2*x**2 + 2/3*x**3 - d*x**4 + 0 + 9*x. Factor n(r).
-4*(r - 1)*(r + 1)**2
Let u = -151 - -219. Suppose 9 + u*n**2 - 9 + 18*n**3 + 56*n - 16 = 0. Calculate n.
-2, 2/9
Let m(a) be the second derivative of -1/6*a**2 - 1/60*a**5 + 0 - 1/6*a**3 - 17*a - 1/12*a**4. Factor m(c).
-(c + 1)**3/3
Let x = 316/7 - 3153/70. Let i(k) be the second derivative of 0 - 10*k + 0*k**4 - 2*k**2 - k**3 + x*k**5. Factor i(t).
2*(t - 2)*(t + 1)**2
Factor 1/3*o**2 + 1 - 4/3*o.
(o - 3)*(o - 1)/3
