*y + 11 = 2*u - 3*u. Factor u*q**3 + 79 - 8*q**2 + 4*q - 79.
4*q*(q - 1)**2
Suppose -2*a + 5 + 1 = 0. Suppose a*q - 4 = -q. Find o such that q - 2*o + 0*o**2 + 5*o + o**2 - 5*o = 0.
1
Suppose 0 = 3*y - 4*t - 25, 0 = -2*y + 3*t + 16. Let q(a) = -a**3 + 11*a**2 + 10. Let c be q(y). Factor -19*b**5 + 28*b**5 - 3*b**4 + 4*b**4 + 2*b**3 - c*b**5.
-b**3*(b - 2)*(b + 1)
Let c(x) be the third derivative of 0 + 2/105*x**7 - 32/3*x**3 + x**5 - 4/15*x**6 + 35*x**2 + 4/3*x**4 + 0*x. Factor c(r).
4*(r - 4)**2*(r - 1)*(r + 1)
Let c(l) be the first derivative of l**5/4 + 5*l**4/6 + 5*l**3/6 - 29*l + 35. Let o(r) be the first derivative of c(r). Factor o(y).
5*y*(y + 1)**2
Let s(k) be the second derivative of k**4/48 - 3*k**3/8 - 5*k**2/4 + 56*k. What is l in s(l) = 0?
-1, 10
Let z(i) be the second derivative of -i**4/4 + i**3/2 + 3*i**2 + 7*i - 5. Factor z(x).
-3*(x - 2)*(x + 1)
Let n(l) = -l**2 + 7*l + 1. Let q(d) = 7*d - 6. Let c(m) = 6*m - 5. Suppose -x = 6 - 0. Let b(h) = x*c(h) + 5*q(h). Let w(g) = -14*b(g) - 2*n(g). Factor w(i).
2*(i - 1)*(i + 1)
Let g(h) be the second derivative of -h**4/42 + 4*h**3/21 + 5*h**2/7 + 138*h. Factor g(b).
-2*(b - 5)*(b + 1)/7
Factor 0*o + 1/5*o**3 + 0 + 4/5*o**2.
o**2*(o + 4)/5
Let z(w) be the first derivative of -w**6/24 + w**5/6 - 5*w**4/24 - 6*w**2 - 6. Let v(y) be the second derivative of z(y). Solve v(t) = 0.
0, 1
Let q = 23 + -21. Let c(x) = x**2 + x + 6. Let o be c(0). Factor t**q + 2 - o + 5 + 3*t + 1.
(t + 1)*(t + 2)
Find o, given that 6 - 12 - 2*o**2 - 55*o + 7*o**2 + 6 = 0.
0, 11
Let m(s) be the second derivative of 0*s**3 + 1/35*s**5 + 0*s**2 + 0 + 1/7*s**4 + 17*s. Determine p, given that m(p) = 0.
-3, 0
Let x = -11 + 9. Let k = 5 + x. Determine j so that 4*j**2 + 3*j**2 + 5*j**2 - 3*j**2 + k*j = 0.
-1/3, 0
Let g(s) be the first derivative of s**6/6 + 9*s**5/5 - 3*s**4/2 - 46*s**3/3 + 69*s**2/2 - 27*s - 151. Factor g(f).
(f - 1)**3*(f + 3)*(f + 9)
Let x(q) be the first derivative of -5*q**6/21 - 78*q**5/35 - 8*q**4 - 272*q**3/21 - 48*q**2/7 + 32*q/7 + 96. Factor x(w).
-2*(w + 2)**4*(5*w - 1)/7
Let o(f) = 7*f**2 - 24*f + 4. Let w(k) = 16*k**2 - 51*k + 9. Let h(r) = -9*o(r) + 4*w(r). Factor h(u).
u*(u + 12)
Let m(y) = 6*y + 4*y + 1 - 19*y. Let h be m(-1). Determine b, given that -14/3*b**2 - 2/3*b**3 - 6 - h*b = 0.
-3, -1
Let x be (1/28)/(-7 + (-30)/(-4)). Let o(s) be the first derivative of 0*s**2 - x*s**4 + 4 + 0*s + 2/21*s**3. Factor o(y).
-2*y**2*(y - 1)/7
Let w be 40/(-10) - 51/(-9). Let u(o) be the second derivative of w*o**3 - 7*o - 2*o**2 + 1/10*o**5 - 2/3*o**4 + 0. Factor u(m).
2*(m - 2)*(m - 1)**2
Let w = 86155/7 + -12370. Let o = -62 - w. Find p, given that -2/7*p - 1/7 - o*p**2 = 0.
-1
Let p(r) be the first derivative of -r**7/70 - r**6/20 + 6*r**2 - 9. Let k(n) be the second derivative of p(n). Determine l so that k(l) = 0.
-2, 0
Let u(s) be the second derivative of s**6/105 - s**5/35 - s**4/14 + 8*s**3/21 - 4*s**2/7 + s - 69. Factor u(i).
2*(i - 2)*(i - 1)**2*(i + 2)/7
Let v(h) be the third derivative of h**5/15 + 11*h**4/6 + 16*h**3 + 447*h**2. Factor v(j).
4*(j + 3)*(j + 8)
Let o(q) be the first derivative of -1/9*q**3 + 0*q + 1/90*q**5 + 0*q**4 - 4 - 5/2*q**2. Let j(h) be the second derivative of o(h). Let j(b) = 0. Calculate b.
-1, 1
Let b be (7616/(-85))/(-8) - 8. Solve -52/5*w + 24/5 + 12/5*w**3 + b*w**2 = 0 for w.
-3, 2/3, 1
Let b(c) be the third derivative of c**7/6300 + c**6/2700 - c**5/450 - 5*c**3/3 + c**2. Let t(z) be the first derivative of b(z). Factor t(i).
2*i*(i - 1)*(i + 2)/15
Let x = 28 + -24. Let d(u) = 3*u**3 - 4*u**2 + 5*u + 4. Let q(t) = -t**3 + t**2 - t - 1. Let r(n) = x*q(n) + d(n). Factor r(f).
-f*(f - 1)*(f + 1)
Suppose 3 + 0 = -4*p - 3*k, -4*p = k - 7. Suppose 4*i - 5*s = 5, 2*s + 16 + p = 5*i. Factor 2/3*t**3 - 4/9*t**2 + 0 + 0*t**4 + 0*t - 2/9*t**i.
-2*t**2*(t - 1)**2*(t + 2)/9
Let x = 15742 - 15742. Factor -2/5*b**2 + 7/5*b**4 + 0*b - b**3 + x.
b**2*(b - 1)*(7*b + 2)/5
Let i(q) be the second derivative of 4*q**6/75 - 3*q**5/10 + 4*q**4/15 + q**3/5 - q - 4. What is f in i(f) = 0?
-1/4, 0, 1, 3
Let m(g) = -5*g**2 + 5*g - 2. Let y(f) be the second derivative of -f**4/12 + f**3/6 + 16*f - 2. Let c(u) = m(u) - 6*y(u). Factor c(r).
(r - 2)*(r + 1)
Let 8/7*o + 2/7*o**2 + 0 = 0. What is o?
-4, 0
Let k(o) be the second derivative of 11*o**4/6 - 7*o**3/3 - 4*o**2 + 52*o - 3. Factor k(u).
2*(u - 1)*(11*u + 4)
Let n be 0/(8 + (-36)/6). Solve 4/19*d + n + 2/19*d**2 - 2/19*d**4 - 4/19*d**3 = 0.
-2, -1, 0, 1
Let h(l) = l**4 + l**2 - 2*l - 1. Let q(m) = 6*m**4 - 10*m**3 + 18*m**2 - 14*m - 4. Let f(s) = 4*h(s) - q(s). What is a in f(a) = 0?
0, 1, 3
Factor -90/7*b**2 - 24/7*b**3 - 108/7*b + 0 - 2/7*b**4.
-2*b*(b + 3)**2*(b + 6)/7
Let h(b) = -b**4 + b**2. Let p be (-548)/(-36) - (-2)/(-9). Let z = 20 - p. Let v(f) = 5*f**4 + 3*f**3 - 4*f**2 - 4*f. Let t(u) = z*v(u) + 20*h(u). Factor t(o).
5*o*(o - 1)*(o + 2)**2
Let p(k) be the first derivative of 3*k**4/4 + 8*k**3 + 15*k**2/2 - 42*k + 44. Suppose p(j) = 0. Calculate j.
-7, -2, 1
Suppose 2/9*y**4 + 0 - 80/9*y - 10/9*y**3 - 92/9*y**2 = 0. What is y?
-4, -1, 0, 10
Let x(o) be the second derivative of -o**4/126 - 430*o**3/63 - 46225*o**2/21 + 192*o. Determine i, given that x(i) = 0.
-215
Suppose -4*k + 22 = -10. Let d = 10 - k. Determine t so that 0 + 7*t**2 - 8*t**2 - d*t + 3 - 4 = 0.
-1
Suppose -19*s + 28 = -5*s. Find f, given that 12*f - 2*f - 3*f**s - 37 + 2*f - 3*f**3 + 49 = 0.
-2, -1, 2
Suppose 15*n = 37 - 7. Factor 4/3*d + 14/3*d**4 + 0 - 2*d**5 - 2*d**3 - n*d**2.
-2*d*(d - 1)**3*(3*d + 2)/3
Let s(i) be the third derivative of 12*i**2 + 1/504*i**8 + 0 + 0*i**3 + 0*i + 1/315*i**7 - 1/90*i**6 + 0*i**5 + 0*i**4. Factor s(h).
2*h**3*(h - 1)*(h + 2)/3
Let n be -40 - (-27 + 1) - -16. Solve 0 + 1/5*j**n + 7/5*j = 0 for j.
-7, 0
Let d be (12/5)/((-18)/9)*10/(-8). Factor 15/2 + d*w**2 - 9*w.
3*(w - 5)*(w - 1)/2
Let f(p) = p**3 - 5*p**2 + 3*p - 15. Let h be f(5). Let q be ((-3)/6*h)/(4/4). Factor 6/7*l**2 + q - 2/7*l**4 + 0*l**3 + 4/7*l.
-2*l*(l - 2)*(l + 1)**2/7
Let w(c) = 5*c**3 + 3*c**2 - 2*c + 2. Let m(u) = 27*u**3 + 16*u**2 - 10*u + 11. Let n(x) = -2*m(x) + 11*w(x). Factor n(r).
r*(r - 1)*(r + 2)
Let x(t) = 2*t + 6. Let s be x(-2). Factor 0*h**2 - 11*h - 9*h + 22*h + s*h**2.
2*h*(h + 1)
Let p(v) = -3 + 5 + 1 - 6*v**2. Let o(g) = -7*g**2 - g + 4. Suppose 5*x = -2*j - 14, -3*x + 2 = 2*j - 2*x. Let q(k) = j*o(k) - 4*p(k). Factor q(s).
3*s*(s - 1)
Let w(b) be the second derivative of 2*b**6/135 + 11*b**5/60 + 22*b**4/27 + 14*b**3/9 + 8*b**2/9 + 48*b - 2. Factor w(h).
(h + 2)**2*(h + 4)*(4*h + 1)/9
Factor -28 - 37 + 77 - 9*d**2 + 3*d**3.
3*(d - 2)**2*(d + 1)
Let f(t) be the second derivative of t**5/80 - t**4/24 + 21*t**2/2 + 15*t. Let b(o) be the first derivative of f(o). Suppose b(i) = 0. Calculate i.
0, 4/3
Suppose o - 94 = 5*h, -o - 24 - 26 = 3*h. Let i be (-221)/(-468) - 2*(-2)/h. Factor -3/4 + i*k**3 + 3/4*k**2 - 1/4*k.
(k - 1)*(k + 1)*(k + 3)/4
Let m be 2*120/(-32)*(-4)/10. Let c(i) be the third derivative of -1/21*i**m + 1/210*i**5 + 0 + 0*i + 1/84*i**4 - 1/420*i**6 - i**2. Factor c(x).
-2*(x - 1)**2*(x + 1)/7
Suppose 11*p = 7*p + 280. Let u = -68 + p. Factor -1/4 - 1/4*z**u - 1/2*z.
-(z + 1)**2/4
Factor 75/2*x + 5/2*x**2 - 40.
5*(x - 1)*(x + 16)/2
Let x be (1*(-3)/4)/((-2)/(-8)). Let n be 1/6*x*-4. Factor 0 - 1/3*j**n - j**3 - j**4 + 0*j - 1/3*j**5.
-j**2*(j + 1)**3/3
Let m(j) be the third derivative of 0*j**3 + 0 + 1/30*j**5 + 0*j + 1/12*j**4 - 17*j**2. Suppose m(v) = 0. Calculate v.
-1, 0
Let y(g) be the first derivative of 0*g - 2/21*g**3 + 0*g**4 + 0*g**2 - 5 + 2/35*g**5. Factor y(q).
2*q**2*(q - 1)*(q + 1)/7
Factor -32/7*s + 4/7*s**2 + 4.
4*(s - 7)*(s - 1)/7
Let n be ((-4)/(-30) - 0)*55 - (28 + -21). Factor 4/3*h**3 + 0 + n*h**4 + 0*h**2 + 0*h.
h**3*(h + 4)/3
Let b(g) = -7*g**3 - 20*g**2. Let y(d) = -d**3 - 3*d**2. Let f(o) = 6*b(o) - 39*y(o). Let f(s) = 0. What is s?
-1, 0
Let f(w) = 8*w**2 + 65*w + 13. Let v be f(-8). Let r(y) be the second derivative of -1/3*y**3 + 13*y + 1/60*y**6 + 1/10*y**v + 0 - y**2 + 1/8*y**4. Factor r(s).
(s - 1)*(s + 1)*(s + 2)**2/2
Let j(k) be the second derivative of 0*k**2 + 0*k**3 + 0 + 5/36*k**4 - 33*k. Suppose j(t) = 0. What is t?
0
Let f(x) = -7*x**4 - 16*x**3 - 6*x**2 + 16*x + 10. Let g(s)