c(y).
-y*(3*y - 1)/5
Let w(i) = -2*i - 2. Let t be w(-2). Factor -2 - 2*v**3 - v**4 + t + v**2 + 2*v**4.
v**2*(v - 1)**2
Let y(v) be the second derivative of 2*v**5/5 + v**4/3 - 2*v**3/3 - 12*v. Factor y(b).
4*b*(b + 1)*(2*b - 1)
Let h(b) be the third derivative of b**7/70 + b**6/5 + 11*b**5/10 + 3*b**4 + 9*b**3/2 - 2*b**2 - 9*b. Factor h(o).
3*(o + 1)**2*(o + 3)**2
Let a = 2/117 - -34/117. Let -a*q + 0 - 2/13*q**2 = 0. What is q?
-2, 0
Solve 372/7*a**3 + 1152/7*a - 27/7*a**4 + 1200/7*a**2 - 3*a**5 + 240/7 = 0 for a.
-2, -2/7, 5
Let b = 515/2028 + -2/507. Factor 0*a + 0 + 1/4*a**2 + b*a**3.
a**2*(a + 1)/4
Let v(k) be the third derivative of -k**8/3360 - k**7/315 - k**6/72 - k**5/30 - k**4/8 - k**2. Let a(o) be the second derivative of v(o). Factor a(n).
-2*(n + 1)**2*(n + 2)
Let n(g) be the second derivative of -g**8/1680 + g**7/480 - g**6/720 - g**5/480 + g**3/6 + 3*g. Let v(w) be the second derivative of n(w). Factor v(i).
-i*(i - 1)**2*(4*i + 1)/4
Let x(c) = -c**3 - 2*c**2 - 3*c - 1. Let b(r) = r**3 + 5*r**2 - 5*r + 4. Let v be b(-6). Let j be x(v). Factor -i**2 + j*i**3 - 5*i**3 - i**3.
-i**2*(i + 1)
Determine t so that -12*t - 12*t + 4*t - 4 - 2*t - 18*t**2 = 0.
-1, -2/9
Let l(b) be the third derivative of b**8/420 + 2*b**7/105 + 4*b**6/75 + 4*b**5/75 - 2*b**2. Determine i, given that l(i) = 0.
-2, -1, 0
Factor -2/9*g**2 + 2/9*g**4 + 2/9*g - 2/9*g**3 + 0.
2*g*(g - 1)**2*(g + 1)/9
Let t = 2 - 10. Let g = t - -10. Suppose 0 - 2/3*z**g + 0*z = 0. Calculate z.
0
Factor 4/5*z + 1/5*z**2 + 4/5.
(z + 2)**2/5
Let y(l) be the first derivative of l**3 + l + 3/2*l**2 - 3 + 1/4*l**4. Factor y(q).
(q + 1)**3
Let p(j) = 7*j**3 + 11*j**2 + 7*j. Let i(t) = -6*t**3 - 10*t**2 - 6*t. Let n(l) = 3*i(l) + 2*p(l). Factor n(x).
-4*x*(x + 1)**2
Let u(p) = 34*p**3 - 70*p**2 - 58*p - 2. Let m(x) = -11*x**3 + 23*x**2 + 19*x + 1. Let k(c) = -7*m(c) - 2*u(c). Factor k(q).
(q - 3)*(3*q + 1)**2
Determine h so that 5/8*h**4 + 9/8 - 3/8*h + 1/8*h**5 - 7/4*h**2 + 1/4*h**3 = 0.
-3, -1, 1
Let l be ((-2)/4)/((-3)/(-2) + -3). Suppose 2/3*j - 1/3*j**3 + 0 - l*j**2 = 0. Calculate j.
-2, 0, 1
Let u = -3/65 + 77/260. Let n(x) be the first derivative of u*x**4 - 4/5*x**5 + 0*x**2 + 0*x**3 + 0*x - 2. Solve n(w) = 0.
0, 1/4
Let d = -13 - -20. Let a be ((-2)/d)/((-5)/7). Suppose -6/5*u - 4/5 - a*u**2 = 0. Calculate u.
-2, -1
Let x(w) = -10 + w**3 - 5*w**2 + 3*w + 2*w**2 + 11. Let v(f) = -9*f**3 + 25*f**2 - 25*f - 8. Let m(j) = -6*v(j) - 51*x(j). Factor m(i).
3*(i - 1)*(i + 1)**2
Let s = -93 - -97. Factor b**3 - 1/2*b**5 + 1/2 - 1/2*b - b**2 + 1/2*b**s.
-(b - 1)**3*(b + 1)**2/2
Let x be 10/1*3/6. Let -10*c - 3*c**4 - c**2 + c**x + 3*c**3 + 10*c = 0. What is c?
0, 1
Let m(a) be the second derivative of a**6/180 - a**5/20 + a**4/6 - a**3/6 + 2*a. Let g(u) be the second derivative of m(u). Factor g(b).
2*(b - 2)*(b - 1)
Let h(c) be the first derivative of -c**4/9 + 4*c**3/27 - 65. Suppose h(w) = 0. What is w?
0, 1
Let s be -4 - ((-36)/6 + 0). Factor 0 + 1/5*o**s + 0*o.
o**2/5
Let h(s) be the first derivative of -s**4/3 + 40*s**3/9 - 50*s**2/3 - 8. Suppose h(x) = 0. Calculate x.
0, 5
Let g(a) be the second derivative of -3/10*a**5 + 1/10*a**6 - 3*a + 1/14*a**7 + 0 + 3/2*a**2 - 1/2*a**4 + 1/2*a**3. Solve g(z) = 0 for z.
-1, 1
Let g(p) be the third derivative of -p**8/4480 - p**7/1680 - p**4/8 + 3*p**2. Let a(c) be the second derivative of g(c). Factor a(z).
-3*z**2*(z + 1)/2
Let z(l) be the first derivative of l**7/840 + l**6/72 + l**5/15 + l**4/6 - l**3/3 + 3. Let r(b) be the third derivative of z(b). Factor r(o).
(o + 1)*(o + 2)**2
Factor -2/5*g**2 - 12/5*g - 2.
-2*(g + 1)*(g + 5)/5
Let j be ((-16)/(-7) - 2) + 133/49. Let n(b) be the first derivative of -4*b - j - 1/3*b**3 + 2*b**2. Factor n(t).
-(t - 2)**2
Factor 8/3*w + 0 + 4/3*w**2.
4*w*(w + 2)/3
Suppose 5*y + 120 = y. Let i = -27 - y. Factor -8/11 + 0*q + 2/11*q**i + 6/11*q**2.
2*(q - 1)*(q + 2)**2/11
Let n(r) be the second derivative of 0*r**2 + 2*r - 1/6*r**3 + 1/15*r**6 + 1/20*r**5 + 0 - 1/6*r**4. What is q in n(q) = 0?
-1, -1/2, 0, 1
Let b(c) be the first derivative of -5*c**3/12 + 35*c**2/4 - 245*c/4 + 8. Let b(v) = 0. What is v?
7
Factor -6 + 3 + 9*r**2 + r**3 - 4*r**3 - 6 + 3*r.
-3*(r - 3)*(r - 1)*(r + 1)
Let y = 5 + -3. Find t such that -6*t - 2*t**y + 0*t**2 - 4 + 0 = 0.
-2, -1
Factor -17*a + 42*a**2 - 13*a**4 - 33*a**3 + 7*a**2 - 22*a**3 + 34*a**4 + 2.
(a - 1)**2*(3*a - 1)*(7*a - 2)
Let -11 - 13*h**2 - 5*h**2 + 7 + 22*h = 0. What is h?
2/9, 1
Let q(x) be the first derivative of -x**4/12 + 7*x**3/9 + 17*x**2/6 + 3*x - 46. Determine l, given that q(l) = 0.
-1, 9
Suppose -1 + 7 = 3*z. What is t in 0*t - 2/3*t**z + 2/3*t**3 + 0 = 0?
0, 1
Let n(i) = -i**3 - 9*i**2 + 11*i + 12. Let d be n(-10). Suppose -2*u - 8 = -4*u. Factor -o**2 + 0*o**d + o**4 - 2*o**3 - 2*o**u.
-o**2*(o + 1)**2
Find o such that 0 - o**2 + 0*o**3 + 2/3*o + 1/3*o**4 = 0.
-2, 0, 1
Suppose 2*z + 11 = -4*a + 3, -a = -2*z + 2. Suppose z = 2*x - 7*x + 10. Solve -2/5*f**x + 0*f - 2/5*f**4 + 0 - 4/5*f**3 = 0 for f.
-1, 0
Determine k, given that -16/9 - 2/9*k**3 - 4/3*k**2 - 8/3*k = 0.
-2
Factor 2*m**2 - 5*m**3 - 7*m**2 + m**5 + 2*m**3 + 7*m**2.
m**2*(m - 1)**2*(m + 2)
Let h(u) be the third derivative of -u**6/40 - u**5/10 - u**4/8 - 12*u**2. Let h(w) = 0. What is w?
-1, 0
Let h(m) be the first derivative of -m**3/7 - 6*m**2/7 - 12*m/7 - 27. Find f, given that h(f) = 0.
-2
Let o(g) be the third derivative of -g**10/264600 - g**9/105840 - g**5/30 + g**2. Let n(p) be the third derivative of o(p). Factor n(y).
-4*y**3*(y + 1)/7
Let u(n) = 4*n + 1. Let q be u(1). Let g be (-3)/(-2)*8/6. Factor -2*d**4 - q*d**g + 5*d**2.
-2*d**4
Solve 8*s - 2*s**2 - 1 + 0 - 3 - 2 = 0 for s.
1, 3
Let u(m) be the first derivative of m**8/2800 + m**7/700 + m**6/600 - 2*m**3/3 - 2. Let d(h) be the third derivative of u(h). Factor d(o).
3*o**2*(o + 1)**2/5
Let v(t) be the third derivative of 2*t**8/105 + 8*t**7/525 - t**6/20 - 3*t**5/50 - t**2 - 15*t. Find i such that v(i) = 0.
-3/4, 0, 1
Suppose -r - 2 = 0, 0 = 3*l - 3*r + 22 + 35. Let h = -13 - l. Factor 4*t**3 + 40*t**3 + 12*t**3 - 98*t**4 - h*t**2.
-2*t**2*(7*t - 2)**2
Suppose 0 = 2*y - m - 6, 0*y - 5*y = -5*m - 20. Find h such that 2*h**2 - 2*h**y - 2*h**2 + 2*h**3 + 4*h**2 = 0.
-1, 0
Let o(w) = -2*w**2 + 8*w + 9. Let j be o(7). Let v = j + 101/3. Factor v*n**3 + 10/3*n - 4/3 - 8/3*n**2.
2*(n - 2)*(n - 1)**2/3
Factor -2*i**4 - 83*i**3 + 44*i**3 + 51*i**3.
-2*i**3*(i - 6)
Factor 1/3*v**4 - 1/3*v**2 + 0*v + 1/3*v**3 - 1/3*v**5 + 0.
-v**2*(v - 1)**2*(v + 1)/3
Let f(j) be the second derivative of j**6/75 + j**5/10 + j**4/5 - 4*j**3/15 - 8*j**2/5 + 8*j. What is x in f(x) = 0?
-2, 1
Let y(b) be the first derivative of b**3/12 + 3*b**2/4 - 7*b/4 + 19. Factor y(w).
(w - 1)*(w + 7)/4
Let p(r) be the second derivative of r**5/130 - r**4/78 - 2*r**3/39 + r - 4. Factor p(v).
2*v*(v - 2)*(v + 1)/13
Let z(y) be the second derivative of -4*y**7/21 + 7*y**6/15 + y**5/5 - 4*y**4/3 + 2*y**3/3 + y**2 - 6*y. Find n, given that z(n) = 0.
-1, -1/4, 1
Suppose -4*t = -0*x - x - 3, -4*t - 2 = -2*x. Suppose 2*b + 5*c = x*b - 1, 4*b - 5 = 3*c. Factor -35*q + 11*q + 12*q**b + 18 - 2 - 2*q**3.
-2*(q - 2)**3
Let q(d) = 2*d**3 + 6. Let h(w) = -w**2 + 1. Let p(g) = 12*h(g) - 2*q(g). Factor p(s).
-4*s**2*(s + 3)
Let q(f) = -18*f + 6. Let y be q(-5). Factor 0*u**3 - 2*u**3 - y*u - 10*u**2 + 128 + 29*u**2 + 5*u**2.
-2*(u - 4)**3
Let k = 11 - 11. Suppose d = -3*d. Factor -1/2*t**4 + k*t - 1/2*t**5 + 1/2*t**3 + d + 1/2*t**2.
-t**2*(t - 1)*(t + 1)**2/2
Suppose 6 + 2 = 4*n. Find v, given that -2/3*v**4 + 0*v**n + 0 - 8/3*v + 2*v**3 = 0.
-1, 0, 2
Let l(t) be the second derivative of t**4/18 + 7*t**3/36 - t**2/6 + 18*t. Factor l(a).
(a + 2)*(4*a - 1)/6
Let y(w) be the second derivative of -w**10/151200 + w**9/18900 - w**8/8400 + w**4/3 + w. Let c(q) be the third derivative of y(q). Factor c(k).
-k**3*(k - 2)**2/5
Let q = 89067/4 + -22123. Let h = q - 143. What is j in 1/4 + 3/4*j**2 + h*j + 1/4*j**3 = 0?
-1
Suppose f - 2 = 3. Let d = f - 3. Factor 4*q**2 + 2*q**3 - 11*q**3 + 6*q**d - 7*q**2 + 6*q.
-3*q*(q - 1)*(3*q + 2)
Let y(s) = -s**2 - 8*s - 9. Let o be y(-6). Factor 2/7*b**5 + 0*b**2 + 4/7*b**4 + 0 + 0*b + 2/7*b**o.
2*b**3*(b + 1)**2/7
Let v(t) be the first derivative of