**3.
2*c**2*(5*c - 2)/9
Let h(x) = -2*x**3 + 7*x**2 - 5. Let q(i) = -2*i**3 + 8*i**2 - 6. Let a = 11 - 6. Let c(w) = a*q(w) - 6*h(w). Suppose c(v) = 0. What is v?
0, 1
Suppose -4/5*f**2 - 18/5*f**3 + 4/5 + 18/5*f = 0. Calculate f.
-1, -2/9, 1
Let b(p) = 2*p**4 - 2*p**2. Let z(m) = 15*m**4 - 15*m**2. Let l(a) = 20*b(a) - 3*z(a). Factor l(v).
-5*v**2*(v - 1)*(v + 1)
Let 1/3*i**2 + 1/2*i**3 + 1/6*i**4 + 0*i + 0 = 0. What is i?
-2, -1, 0
Let z = 2934/7 + -419. Factor 0 - 2/7*p**3 - z*p**4 - 1/7*p**2 + 0*p.
-p**2*(p + 1)**2/7
Factor 1/3*g**2 + 4/3*g - 4/3*g**3 + 0 - 1/3*g**4.
-g*(g - 1)*(g + 1)*(g + 4)/3
Let c(v) be the third derivative of v**5/90 + v**4/12 + 43*v**2. Suppose c(l) = 0. Calculate l.
-3, 0
Let g(m) be the third derivative of -m**10/15120 + m**9/3780 + m**4/24 - 4*m**2. Let f(n) be the second derivative of g(n). Solve f(j) = 0 for j.
0, 2
Let n be -2 + (0 - (-7 + (-12)/(-4))). Factor -2/5*j**n - 2/5*j + 0.
-2*j*(j + 1)/5
Let c(d) be the second derivative of d**7/105 + d**6/36 - d**5/30 - d**4/4 + 5*d**3/6 - 5*d. Let v(i) be the second derivative of c(i). Factor v(o).
2*(o + 1)**2*(4*o - 3)
Let f = -1/10035 - 19721/3502215. Let i = f + 1414/3141. Suppose 8/9*a**2 + 2/9*a - 2/3*a**3 - i = 0. Calculate a.
-2/3, 1
Let r(p) = p**2. Let s(u) = -4*u + 6. Let z = -8 + 7. Let q(o) = z*s(o) + 2*r(o). Factor q(c).
2*(c - 1)*(c + 3)
Let q(f) be the second derivative of f**5/20 - f**4/4 - 5*f**3/6 + 2*f**2 + f. Let m be q(4). Factor m + 1/3*x - 1/3*x**2.
-x*(x - 1)/3
Let j(g) be the third derivative of -g**8/28 - 26*g**7/105 - 8*g**6/15 - 4*g**5/15 + 6*g**2. Suppose j(y) = 0. Calculate y.
-2, -1/3, 0
Factor -7*y**2 - 4*y + 7*y**2 - 4*y**2.
-4*y*(y + 1)
Let a(r) be the second derivative of 1/7*r**2 - 1/21*r**3 + 0 - 1/42*r**4 + 1/70*r**5 - 2*r. Factor a(w).
2*(w - 1)**2*(w + 1)/7
Let k(l) be the second derivative of l**4/24 - l**3/6 - 3*l. Solve k(x) = 0.
0, 2
Let s(n) be the third derivative of 1/210*n**5 + 1/84*n**4 + 0*n - 1/735*n**7 - 1/420*n**6 + 0 + 0*n**3 + 4*n**2. Factor s(h).
-2*h*(h - 1)*(h + 1)**2/7
Let i be 32/(-48) - -1*(-86)/(-120). Let s(y) be the second derivative of -i*y**5 - 1/2*y**2 - 1/4*y**4 - 1/2*y**3 + 2*y + 0. What is c in s(c) = 0?
-1
Let l(g) be the second derivative of g - 1/20*g**5 + 0*g**3 + 0*g**2 + 0 - 1/42*g**7 + 0*g**4 + 1/15*g**6. Factor l(i).
-i**3*(i - 1)**2
Let u be (-732)/(-90) + 1*-8. Find s, given that 0 + u*s**2 - 4/15*s = 0.
0, 2
Let k = 59/10 - 199/35. Let c(n) be the second derivative of k*n**4 + n - 1/14*n**5 + 5/21*n**3 - 1/15*n**6 - 2/7*n**2 + 0. Suppose c(h) = 0. What is h?
-1, 2/7, 1
Let s(q) be the first derivative of q**6/42 - 3*q**5/35 + q**4/14 + 2*q**3/21 - 3*q**2/14 + q/7 - 8. Factor s(z).
(z - 1)**4*(z + 1)/7
Let n = -710 - -712. Factor 7/3*o**n - 1/3*o**5 - 2/3*o + 0 + 5/3*o**4 - 3*o**3.
-o*(o - 2)*(o - 1)**3/3
Factor 0*i**3 + 2/5*i**4 - 4/5*i + 0 - 6/5*i**2.
2*i*(i - 2)*(i + 1)**2/5
Let y(w) be the second derivative of w**4/3 - 2*w**2 + 14*w. Factor y(o).
4*(o - 1)*(o + 1)
Suppose -5*c - 4*v = 16, -7*v = -3*v + 16. Suppose 2/5*a + c + 2/5*a**2 = 0. Calculate a.
-1, 0
Factor -6/7*k**2 + 2/7*k**4 + 8/7*k + 8/7 - 4/7*k**3.
2*(k - 2)**2*(k + 1)**2/7
Let y(p) = 2*p**2 + 8*p + 8. Let x(i) = 1. Let n(v) = -4*x(v) + 2*y(v). Factor n(t).
4*(t + 1)*(t + 3)
Let o(f) be the second derivative of f**7/21 - f**6/45 - f**5/15 + 11*f. Factor o(q).
2*q**3*(q - 1)*(3*q + 2)/3
Let p(r) = -r**3 - 9*r**2 + 10*r + 2. Let u be (-1 - -3)*(4 + -9). Let g be p(u). Suppose 3*f - 2*f - g*f**3 + 5*f**3 - 3*f**2 - f**4 = 0. What is f?
0, 1
Let c(p) be the first derivative of -p**6/180 + p**5/90 + p**4/36 - p**3/9 - p**2/2 + 4. Let b(j) be the second derivative of c(j). What is h in b(h) = 0?
-1, 1
Let q(k) = k**3 + 5*k**2 - 7*k - 4. Let r be q(-6). Let w(j) be the first derivative of 2*j - 1/3*j**3 + r + 1/2*j**2. Factor w(c).
-(c - 2)*(c + 1)
Let h be (-178)/(-14) - 8/(-28). Let l = h - 9. Factor 0*v**l - v - 2*v**2 + v**2 - v**5 - 4*v**4 - 6*v**3 - 3*v**2.
-v*(v + 1)**4
Let j = -3/11 - -5/11. Let 2/11*k**5 + 0*k**2 + 0*k**4 + 0 + j*k - 4/11*k**3 = 0. Calculate k.
-1, 0, 1
Let l(q) be the third derivative of q**5/180 - q**4/18 + 2*q**3/9 + 18*q**2. Find y, given that l(y) = 0.
2
Factor 1/4*l**3 - 3/4*l**2 - 9/4*l - 5/4.
(l - 5)*(l + 1)**2/4
Factor 1/3 - 1/3*k - 2/3*k**2.
-(k + 1)*(2*k - 1)/3
Let w(o) = -3*o**2 + 6*o - 18. Let f(k) = k**2 - 3*k + 8. Let b(s) = 9*f(s) + 4*w(s). Suppose b(n) = 0. What is n?
-1, 0
Let f(o) = o**5 - 3*o**4 + 2*o. Let k(p) = p**4 - p. Let q(z) = 2*f(z) + 4*k(z). Factor q(j).
2*j**4*(j - 1)
Let h be (-1)/(0 + 1/(-2)). Factor -2*f**4 - 7*f**2 + 11*f**2 - 2*f**h.
-2*f**2*(f - 1)*(f + 1)
Let w(h) = 7*h**4 - 3*h**3 + h**2 + 3*h - 4. Let m(r) = 8*r**4 - 3*r**3 + 2*r**2 + 3*r - 5. Let g(p) = -4*m(p) + 5*w(p). Find z, given that g(z) = 0.
-1, 0, 1
Let s(r) = 3*r - 2. Let y be s(2). Factor -j + 3*j**4 + 0*j**3 + 2*j**3 - 4*j**y + 1 - j.
-(j - 1)**3*(j + 1)
Let p(k) be the second derivative of k**4/6 - k**3/3 - 2*k**2 - 8*k. Determine q so that p(q) = 0.
-1, 2
Let v(x) be the second derivative of x**3/3 - 8*x**2 + x. Let q be v(11). Suppose q*w**3 + w**2 - 3*w**2 - 4*w**3 = 0. Calculate w.
0, 1
Let y(c) = c**3 - 4*c**2 - 5*c + 2. Let s be y(5). Let m(z) be the first derivative of 2 + z**s - 1/3*z**3 - z. Let m(q) = 0. What is q?
1
Let w(n) = n**3 + n**2 + 1. Let o(j) = -3*j**5 + 9*j**4 - 6*j**3 - 18*j**2 - 6. Let h(r) = -o(r) - 6*w(r). Factor h(a).
3*a**2*(a - 2)**2*(a + 1)
Let k(l) be the third derivative of -2*l**7/105 - 3*l**6/10 - 2*l**5 - 22*l**4/3 - 16*l**3 + 3*l**2. Suppose k(g) = 0. What is g?
-3, -2
Suppose -2/7*z**5 + 0 + 10/7*z**3 + 0*z - 6/7*z**2 - 2/7*z**4 = 0. What is z?
-3, 0, 1
Let v(o) be the first derivative of -1/12*o**3 - 2 - 1/16*o**4 + 0*o**2 + 0*o. Factor v(u).
-u**2*(u + 1)/4
Factor -3/5*o**2 - 1/5 - 1/5*o**3 - 3/5*o.
-(o + 1)**3/5
Let o(d) = 11*d**2 - 6. Let b(a) = -32*a**2 + 17. Let q(g) = 6*b(g) + 17*o(g). Factor q(i).
-5*i**2
Find h, given that 0 - 4/3*h + 2/3*h**2 = 0.
0, 2
Let z be (-1 - (2 + 0))*4/(-6). Let u = -1/8 - -5/8. Determine q so that -u - 1/2*q + q**z = 0.
-1/2, 1
Factor 9/5*b - 12/5*b**2 + 54/5 - 3/5*b**3.
-3*(b - 2)*(b + 3)**2/5
Let k be 1/((-24)/138) + 6. Factor -k*t**4 + 0*t + 0 + 1/4*t**2 + 0*t**3.
-t**2*(t - 1)*(t + 1)/4
Let x(p) = -p**3 - 4*p**2 - 5*p + 2. Let k(q) = -3*q**3 - 12*q**2 - 15*q + 5. Suppose 5*m - 44 = m. Let h(y) = m*x(y) - 4*k(y). Solve h(t) = 0.
-2, -1
Find i such that -1/9*i - 1/3*i**3 - 1/9*i**4 + 0 - 1/3*i**2 = 0.
-1, 0
Determine n so that 12*n**4 + 4*n**5 + 32*n - 16*n**2 - 32*n = 0.
-2, 0, 1
Let f(h) be the third derivative of 0*h**3 + 1/660*h**6 + 0*h - 1/330*h**5 + 0 + 0*h**4 - 5*h**2. Factor f(v).
2*v**2*(v - 1)/11
Suppose -16 = -3*z - 7. Suppose 2*a - 4*x = -9*x - 11, -4*a - 4 = 4*x. Find g, given that 0 - 1/3*g**4 - 1/3*g**a + 0*g + 2/3*g**z = 0.
0, 1
Let w(n) be the second derivative of n**7/42 + 2*n**6/15 - n**5/10 - n**4 + 3*n**3/2 + 58*n. Suppose w(d) = 0. Calculate d.
-3, 0, 1
Suppose 2*n = -3*h + 8, 5*h = -3*n + 2*h + 12. Find y such that -15*y**3 - 4*y**3 + 23*y**3 + 4*y**2 - n - 4*y = 0.
-1, 1
Let k(w) be the first derivative of -w**3/5 - 3*w**2/10 + 6*w/5 + 6. Factor k(n).
-3*(n - 1)*(n + 2)/5
Suppose -5*o = -4*r - 0 - 7, 4*r = 2*o + 2. Factor -r*c**5 - 4*c**4 + c**5 + 2*c**4 - c**3.
-c**3*(c + 1)**2
Let r(d) be the first derivative of -d**4/34 + 4*d**3/51 + d**2/17 - 4*d/17 + 8. Factor r(w).
-2*(w - 2)*(w - 1)*(w + 1)/17
Let a(w) be the first derivative of w**6/720 + w**5/120 + w**4/48 - w**3/3 - 3. Let c(g) be the third derivative of a(g). Factor c(v).
(v + 1)**2/2
Let x(l) be the second derivative of 0 - 3/20*l**5 - 3*l + 0*l**2 + 1/10*l**6 + 1/2*l**3 - 1/4*l**4. Factor x(w).
3*w*(w - 1)**2*(w + 1)
Let g(y) be the third derivative of -7/30*y**5 + 2/3*y**3 - 1/20*y**6 + 1/4*y**4 + y**2 + 0*y + 1/21*y**7 + 0. Factor g(o).
2*(o - 1)**2*(o + 1)*(5*o + 2)
Let o(l) be the third derivative of -l**8/2240 + l**7/280 - l**6/120 + 5*l**4/24 + 4*l**2. Let d(b) be the second derivative of o(b). Let d(j) = 0. Calculate j.
0, 1, 2
Let x(i) be the second derivative of 0 + 1/10*i**5 - 1/3*i**3 + 4/15*i**6 + 6*i + 0*i**2 - 2/3*i**4. What is z in x(z) = 0?
-1, -1/4, 0, 1
Factor -8*o**3 + 7*o**3 + 0*o**2 - 2*o**2 + 2*o**3.
o**2*(o - 