*(5*i - 2)
Factor -2/3*j**2 + 2/9*j**3 + 2/3*j - 2/9.
2*(j - 1)**3/9
Let t(i) be the second derivative of 1/30*i**3 + 3/100*i**5 - 3*i + 0 + 0*i**2 + 1/150*i**6 + 1/20*i**4. Factor t(x).
x*(x + 1)**3/5
Let k = 4652/11 + -422. Factor 4/11 + 6/11*w**2 - k*w.
2*(w - 1)*(3*w - 2)/11
Let i = -71 - -357/5. Let n be (32/320)/((-2)/(-4)). Suppose -n*x**3 + 0 - 3/5*x**2 - i*x = 0. Calculate x.
-2, -1, 0
Let q(s) be the first derivative of 5*s**4/8 + 11*s**3/3 + 7*s**2 + 4*s + 22. Determine v, given that q(v) = 0.
-2, -2/5
Let n = 1/235 - -226/2115. Let i(o) be the second derivative of n*o**4 + o + 0*o**3 + 1/30*o**5 + 0*o**2 + 0. Solve i(c) = 0.
-2, 0
Let j(t) = 2*t**3 - 2*t**2 + 2*t + 1. Let n(a) = a**3 + a + 1. Let g(f) = 4*j(f) - 4*n(f). Suppose g(q) = 0. What is q?
0, 1
Let p(u) = u**4 - u**3 + u**2 + u + 1. Let r(g) = -4*g**4 - 6*g**2 - 4*g - 3. Let h(d) = 3*p(d) + r(d). Factor h(t).
-t*(t + 1)**3
Let m(h) be the second derivative of -1/4*h**4 - 1/20*h**5 + 2*h - 1/2*h**2 - 1/2*h**3 + 0. Determine n so that m(n) = 0.
-1
Let l be (110/105)/((-2*1)/(-6)). Factor 0 + 4/7*o + l*o**2 + 32/7*o**3 + 2*o**4.
2*o*(o + 1)**2*(7*o + 2)/7
Let b = -14/15 + 18/5. Factor 0 + 2/3*t**3 - b*t**2 + 8/3*t.
2*t*(t - 2)**2/3
Let d be 16 + (-1050)/65 - 220/(-78). Find u, given that -d*u + u**3 + 1/3*u**2 + 4/3 = 0.
-2, 2/3, 1
Let c(x) be the second derivative of 3/100*x**5 - x + 0*x**3 + 0*x**2 + 0 - 1/30*x**4 - 1/150*x**6. Suppose c(u) = 0. Calculate u.
0, 1, 2
Let u(s) be the second derivative of s**6/90 + s**5/12 + s**4/6 - 2*s**3/9 - 4*s**2/3 - 19*s. Factor u(p).
(p - 1)*(p + 2)**3/3
Let d = 20 - 58/3. Find w, given that -d*w - 2/3*w**2 - 2/9 - 2/9*w**3 = 0.
-1
Suppose 5 = 5*m, 0 = 4*f + m - 9 - 8. Factor 1/4*r**3 + 1/2*r**f + 1/4*r**5 + 0*r + 0*r**2 + 0.
r**3*(r + 1)**2/4
Let d(q) = q**2 + 12*q - 10. Let v be d(-11). Let j be 2*(-2 + (-45)/v). Let -4/7 - j*f + 2/7*f**2 = 0. What is f?
-1, 2
Suppose 3*t = -0*t + 12. Let u(b) be the first derivative of 0*b**2 + 0*b**3 + 1 + 0*b - 1/4*b**t. Let u(y) = 0. What is y?
0
Let s(o) be the second derivative of o**6/600 + 3*o**5/200 + o**4/20 + o**3/6 + 4*o. Let a(k) be the second derivative of s(k). Solve a(w) = 0 for w.
-2, -1
Suppose 0 - 16/17*y**5 + 0*y + 2/17*y**3 + 0*y**2 - 14/17*y**4 = 0. What is y?
-1, 0, 1/8
Let k(q) be the third derivative of 0 - 1/240*q**6 + 1/48*q**4 + q**2 - 1/24*q**3 + 0*q + 1/240*q**5. Factor k(c).
-(c - 1)*(c + 1)*(2*c - 1)/4
Let h(i) = -i**2 - 5*i + 2. Let z be h(-5). Factor -1/2*a**4 + 0 - z*a**2 + 0*a - 2*a**3.
-a**2*(a + 2)**2/2
Let y(l) be the second derivative of l**6/480 + l**5/240 - 2*l**2 + 4*l. Let w(q) be the first derivative of y(q). Suppose w(t) = 0. What is t?
-1, 0
Suppose 5*c + 0 = 10. Solve -o**2 + 4*o - 2*o**3 - 8*o - 5*o**c = 0 for o.
-2, -1, 0
Factor 20/3*s**4 + 0 - 8/3*s**2 + 0*s - 4*s**3.
4*s**2*(s - 1)*(5*s + 2)/3
Let -7*v**2 - 5*v**2 + 12 + 20*v**3 + 99*v - 119*v = 0. What is v?
-1, 3/5, 1
Let d(c) be the second derivative of c**5/25 + c**4/5 + 4*c**3/15 + 31*c. Let d(t) = 0. What is t?
-2, -1, 0
Let q(d) = 3*d**5 + 5*d**4 + 5*d**3 + 24*d**2 - 32*d - 5. Let r(u) = u**5 + 2*u**4 + 2*u**3 + 8*u**2 - 11*u - 2. Let z(b) = 4*q(b) - 11*r(b). Factor z(w).
(w - 1)**4*(w + 2)
Let y = -11 + 9. Let d be 3 + y*(-15)/(-12). Factor 1/4 + d*q + 1/4*q**2.
(q + 1)**2/4
Let t(v) be the third derivative of v**8/168 - v**7/35 + v**6/20 - v**5/30 + 6*v**2. What is o in t(o) = 0?
0, 1
Let o be (-1)/(-4) - (-22)/8. Find f such that 0*f + 2*f - 2*f**o + 1 - 4*f**2 + 0*f**4 + 3*f**4 = 0.
-1, -1/3, 1
Let v(q) = 2*q**4 + 16*q**3 + 24*q**2 + 20*q + 10. Let u(l) = l**3 + l**2 + l + 1. Let w(c) = -6*u(c) + v(c). Let w(j) = 0. What is j?
-2, -1
Factor -62*m**4 - 12*m + 0 + 58*m**4 + 0 - 4*m**3 + 20*m**2.
-4*m*(m - 1)**2*(m + 3)
Let 5/8*x**2 - 1/2*x**3 + 1/8*x**4 + 0 - 1/4*x = 0. What is x?
0, 1, 2
Let p be 1/(-3)*(0 - 9). Suppose 10 = 4*d + 2*c, 2*c = 3*d - 5*d + 4. Factor -p + 2 - d*b + b - b**2.
-(b + 1)**2
Let i(y) be the first derivative of 1/3*y**6 + 0*y - 4/35*y**5 + 2 + 0*y**2 + 0*y**3 + 0*y**4. Suppose i(r) = 0. Calculate r.
0, 2/7
Let x be 4/6 + 58/(-6). Let c = -6 - x. Let 0*n**2 + 0*n - 8/5*n**5 + 6/5*n**4 + 2/5*n**c + 0 = 0. What is n?
-1/4, 0, 1
Let m = -16 + 21. Factor 2*a - 2*a**m - 4*a**2 - 8*a**4 + 4*a**4 + 8*a**4.
-2*a*(a - 1)**3*(a + 1)
Let g(q) = 7*q**3 + 10*q**2 - 3*q - 10. Let u(s) = -6*s**3 - 9*s**2 + 3*s + 9. Let w(p) = -3*g(p) - 4*u(p). Determine a, given that w(a) = 0.
-2, -1, 1
Let n(h) be the first derivative of -2*h**5/85 + 2*h**4/17 - 4*h**3/17 + 4*h**2/17 - 2*h/17 - 13. Let n(y) = 0. Calculate y.
1
Let r(u) be the first derivative of 2*u - 3 - 1/20*u**5 + 0*u**2 + 1/12*u**4 + 0*u**3. Let s(j) be the first derivative of r(j). Let s(m) = 0. Calculate m.
0, 1
Let b(x) = x**3 + 2*x - 4*x - 6 + 0*x + 4*x**2. Let y be b(-4). Find v such that -3*v - 4 - y*v - 2*v**2 - v = 0.
-2, -1
Let o = 12 - 8. Let d = 9 + -7. Let -5*y**4 + 3*y**o + 0*y**2 + 2*y**d = 0. Calculate y.
-1, 0, 1
Factor 2/3*q**2 + 8/3*q + 0.
2*q*(q + 4)/3
Suppose -5*h + 1 = -9. Suppose -5*q + 14 - 4 = 0. Factor 0*x + x**2 + 0*x**2 + h*x**3 - 3*x**2 - q*x + 2.
2*(x - 1)**2*(x + 1)
Let k = 7 + -2. Suppose -27 = -k*f + o, o = 5*f - 3*o - 33. Factor -2*g**3 + 2*g**4 + 2*g**5 + f*g**2 - 4*g**2 - 3*g**2.
2*g**2*(g - 1)*(g + 1)**2
Factor 1/3*z**3 - 1/6*z**2 + 1/6*z**4 + 0 - 1/3*z.
z*(z - 1)*(z + 1)*(z + 2)/6
Let x(g) be the second derivative of g**5/30 + 5*g**4/18 + 7*g**3/9 + g**2 - 5*g - 3. Let x(s) = 0. Calculate s.
-3, -1
Let g(b) be the third derivative of -b**5/15 + b**4/3 - 2*b**3/3 - 5*b**2. Let g(o) = 0. What is o?
1
Let k(p) be the third derivative of 0*p**4 - p**2 + 0*p + 1/140*p**7 + 0*p**3 + 1/80*p**6 + 0 + 1/120*p**5 + 1/672*p**8. Solve k(w) = 0 for w.
-1, 0
Let i(z) = 2*z**3 + 4*z**2 - 3*z. Let m be (-2)/5 + (-16)/10. Let r(u) = u**3 + 3*u**2 - 2*u. Let x(n) = m*i(n) + 3*r(n). Factor x(g).
-g**2*(g - 1)
Factor 2*w + 3*w**5 - 6*w**2 + 6*w**4 - 11*w + 6*w.
3*w*(w - 1)*(w + 1)**3
Let m be (-42)/56*8/(-21). Solve -m*j**2 + 0*j + 2/7 = 0.
-1, 1
Let z(f) be the first derivative of -4 - 5/4*f**4 + 5/2*f**2 + f + f**3 - 4/5*f**5. Factor z(j).
-(j - 1)*(j + 1)**2*(4*j + 1)
Let a(z) = 4*z + 30. Let p be a(-7). Let i(y) be the second derivative of 1/20*y**5 + 3*y + 0 + 0*y**p + 1/12*y**4 - 1/3*y**3. Factor i(x).
x*(x - 1)*(x + 2)
Let o(v) = -v**4 + v**3 - v**2 + 1. Let t = -26 - -24. Let f(a) = 5*a**3 - 12*a**2 + 12*a - 5. Let s(p) = t*o(p) - 2*f(p). Factor s(q).
2*(q - 2)**2*(q - 1)**2
Let a = -23 - -26. Let n be (-12)/32*(-2)/a. Factor -3/4*w - 1/4*w**2 + 3/4*w**3 + n.
(w - 1)*(w + 1)*(3*w - 1)/4
Let q(z) be the second derivative of -2*z**6/45 + z**5/60 - 17*z. Factor q(u).
-u**3*(4*u - 1)/3
Let j be -2 + (-3)/(-12)*-3*-4. Let g(u) be the first derivative of -4*u**2 - j + 2/3*u**3 + 8*u. Find o, given that g(o) = 0.
2
Let h(d) = -7*d**2 - 7*d. Let n(k) = -3*k**2 - 3*k. Let z(f) = 4*h(f) - 10*n(f). Factor z(v).
2*v*(v + 1)
Let a(l) be the third derivative of -l**9/7560 - l**8/1680 + l**4/4 - 3*l**2. Let h(k) be the second derivative of a(k). Factor h(w).
-2*w**3*(w + 2)
Suppose -2*k - 4*c = 20, -4 = 4*k - 3*c - 19. Determine y, given that 1/4*y**4 + 0*y**2 + 0*y**3 + 0 + k*y = 0.
0
Let m(s) be the first derivative of 4/15*s**5 + 1/18*s**6 + 2 + 0*s + 1/6*s**2 + 1/2*s**4 + 4/9*s**3. Let m(z) = 0. What is z?
-1, 0
Let w(t) be the third derivative of -1/24*t**4 + 1/120*t**6 - 7*t**2 + 0 + 1/60*t**5 + 0*t - 1/6*t**3. Find z, given that w(z) = 0.
-1, 1
Let u(a) be the third derivative of a**8/336 + 2*a**7/105 + a**6/30 - a**5/30 - 5*a**4/24 - a**3/3 - 3*a**2. Factor u(g).
(g - 1)*(g + 1)**3*(g + 2)
Let f(q) be the first derivative of 0*q + 1/3*q**6 + 2/3*q**3 - 2/5*q**5 - 1/2*q**4 + 0*q**2 - 1. What is m in f(m) = 0?
-1, 0, 1
Let c(p) be the third derivative of -p**6/80 + 7*p**5/40 - p**4/2 - 4*p**3 - 2*p**2. Factor c(v).
-3*(v - 4)**2*(v + 1)/2
Let x = 11 + -6. Let f = 92/3 + -311/12. Find z, given that 2*z + 1 - 25/4*z**x - 23/4*z**2 - f*z**3 + 55/4*z**4 = 0.
-2/5, 1
Let c(s) be the third derivative of -s**10/75600 - s**9/30240 + s**5/20 + 3*s**2. Let o(y) be the third derivative of c(y). Determine k, given that o(k) = 0.
-1, 0
Let j(l) be the first derivative of l**6/4 - l**5/5 - 3*l**4/8 + l**3/3 + 7. Suppose 