r 8/7*c - 40/7*c**2 + 0 + p*c**3 + 18/7*c**5 - 60/7*c**4.
2*c*(c - 1)**2*(3*c - 2)**2/7
Let s(v) = -3*v**2 - 5*v + 2. Let f(a) = a**2 + a - 1. Let q(r) = 4*f(r) + s(r). Solve q(t) = 0.
-1, 2
Let r(m) = -2*m - 7. Let d be r(-5). Factor -2*a**d - a**3 + a**3 + 0*a + 6*a - 4.
-2*(a - 1)**2*(a + 2)
Let w(m) be the first derivative of m**6/33 + 2*m**5/55 - m**4/22 - 2*m**3/33 - 14. Factor w(h).
2*h**2*(h - 1)*(h + 1)**2/11
Factor 1/4*b**2 - 3/2*b + 9/4.
(b - 3)**2/4
Let q(k) = -k**3 - 3*k + 8. Let c(j) = -2*j**3 - 7*j + 17. Let l(i) = 6*c(i) - 13*q(i). Factor l(u).
(u - 2)*(u + 1)**2
Let 9*n**3 + 723*n - 3*n**4 - 723*n = 0. Calculate n.
0, 3
Let g(h) be the third derivative of -h**6/1080 + h**5/180 - h**4/72 + h**3/2 - h**2. Let j(f) be the first derivative of g(f). Let j(w) = 0. What is w?
1
Find n, given that 2/3*n**2 + 2/3*n**3 - 2/3*n - 2/3 = 0.
-1, 1
Let h be 9 - (-6 + (4 - 1)). Factor -r**2 + 13*r**2 + h*r + 3 - 3*r**2.
3*(r + 1)*(3*r + 1)
Let t(d) be the first derivative of d**5/20 - d**3/6 - 2*d + 1. Let k(u) be the first derivative of t(u). Determine h so that k(h) = 0.
-1, 0, 1
Let q(p) = -p - 2. Let m be q(-2). Let d be 1*-2 + 4 - m. What is w in -2*w**d + w**4 + w**4 + 0*w**2 = 0?
-1, 0, 1
Factor -n**4 - 3*n**2 + 4 - 3*n**3 + 2*n**2 + 3*n + 2 - 4.
-(n - 1)*(n + 1)**2*(n + 2)
Let o(v) = -v**5 + v**4 + v**3 + v**2 - 1. Let f(z) = -8*z**5 - 4*z**4 + 2*z**3 + 14*z**2 + 6*z - 5. Let a(q) = f(q) - 5*o(q). Determine r, given that a(r) = 0.
-2, -1, 0, 1
Let i(n) be the first derivative of -n**4/4 + 16*n**3/9 - 17*n**2/6 + 4*n/3 - 25. Factor i(b).
-(b - 4)*(b - 1)*(3*b - 1)/3
Let q(x) be the first derivative of 0*x**3 - 1/18*x**4 + 0*x + 1 + 1/9*x**2. Find g such that q(g) = 0.
-1, 0, 1
Let p be (-4)/9*(-33)/22. Let -2/3*w**2 + 0 - p*w = 0. Calculate w.
-1, 0
Suppose k = -4*b - 0*k - 195, 5*b - 4*k + 228 = 0. Let i be (-3)/(-2)*b/(-120). Suppose -6/5 - 3/5*j + i*j**2 = 0. What is j?
-1, 2
Let i(g) be the first derivative of 0*g - 1/10*g**2 + 2/15*g**3 + 2 - 1/20*g**4. Factor i(k).
-k*(k - 1)**2/5
Let i(h) be the third derivative of -5/6*h**4 - 8/3*h**3 + 0 + 0*h - 1/15*h**5 + 8*h**2. Determine n, given that i(n) = 0.
-4, -1
Let n be 2 + (1 - (2 + 2)). Let w(v) = 5*v**2 + v. Let z be w(n). Factor -2*a**5 - a**5 + 5*a**z - a**2 - a**3 + 0*a**4.
-a**2*(a - 1)**2*(3*a + 1)
Let d(q) be the first derivative of 0*q - 7 + 1/6*q**4 + 0*q**2 - 1/9*q**6 + 0*q**3 + 0*q**5. Factor d(j).
-2*j**3*(j - 1)*(j + 1)/3
Let y(m) be the second derivative of m**7/105 + m**6/60 - m**5/30 - m**4/12 - 2*m**2 - 4*m. Let k(z) be the first derivative of y(z). Factor k(b).
2*b*(b - 1)*(b + 1)**2
Let i = -5 - -5. Suppose v - 2 = -3*b - i*b, -5*v - 2*b = -10. Determine n so that 1/4*n - 1/4*n**v + 1/2 = 0.
-1, 2
Let b(g) be the second derivative of -g**6/3 + 2*g**5/5 - 2*g**3/3 - 5*g**2 + 3*g. Let n(a) = -a**4 - a**2 - a - 1. Let o(s) = -b(s) + 12*n(s). Factor o(q).
-2*(q + 1)**4
Let m(c) be the first derivative of 7*c**2 - 5*c**2 + 3 + 12*c + 4*c**2 + c**3. What is t in m(t) = 0?
-2
Let n(v) be the second derivative of -2*v**7/105 - 8*v**6/75 - v**5/25 + 2*v**4/3 + 8*v**3/15 - 16*v**2/5 + v - 53. Factor n(k).
-4*(k - 1)**2*(k + 2)**3/5
Let b(s) be the second derivative of -s**6/240 + s**5/40 - s**3 - 6*s. Let c(w) be the second derivative of b(w). Solve c(z) = 0 for z.
0, 2
Let t be 2/(-10) - (-14)/70. Let k(i) be the second derivative of 5/14*i**7 + 0*i**2 + 2*i - 2/9*i**4 + 11/15*i**5 + 0*i**3 + t - 13/15*i**6. Factor k(x).
x**2*(3*x - 2)**2*(5*x - 2)/3
Let z(c) be the second derivative of -c**7/14 - 2*c**6/5 + 4*c**4 + 8*c**3 - 21*c. Determine u so that z(u) = 0.
-2, 0, 2
Let 5*y**2 - 25*y + 2 - 3 + 4 + 17 = 0. What is y?
1, 4
Let v(i) be the first derivative of i**6/36 + i**5/30 - i**4/12 - i**3/9 + i**2/12 + i/6 + 4. Factor v(u).
(u - 1)**2*(u + 1)**3/6
Let l(t) = -2*t**3 - 13*t**2 - 5*t + 8. Let z be l(-6). What is r in 2/3 + 0*r - 2/3*r**z = 0?
-1, 1
Let z(a) be the second derivative of 0 + 1/8*a**2 + 1/8*a**3 + 1/80*a**5 + 1/16*a**4 + 3*a. Let z(y) = 0. What is y?
-1
Let v be (5 - 1) + 22/(-8). Let y(d) be the first derivative of 1/3*d**3 + 3/5*d**5 + 2 + 0*d + 1/2*d**2 - v*d**4. Factor y(b).
b*(b - 1)**2*(3*b + 1)
Let a(l) = -6*l**5 + 2*l**4 - 2*l + 2. Let q(d) = d**5 - d**4 + d**3 + d**2 - 1. Let w = 0 - -1. Let k(c) = w*a(c) + 4*q(c). Suppose k(g) = 0. Calculate g.
-1, 1
Let i(h) be the second derivative of -3*h**5/70 + 2*h**4/21 - h**3/21 - 15*h. Determine m so that i(m) = 0.
0, 1/3, 1
Let x be 2/12 + 57/(-450). Let i(z) be the second derivative of -z + 0 - 2/15*z**3 + 1/75*z**6 + 0*z**4 - 1/5*z**2 + x*z**5. Determine c so that i(c) = 0.
-1, 1
Suppose -9 = -0*j + 3*j, j - 32 = -p. Let i = 176/5 - p. Find q, given that i*q**3 + 0*q**2 + 0 + 0*q = 0.
0
Let v(c) = c**2 - c. Let h(s) = -7*s**2 + s - 2. Let o(j) = 3*j**2 + 1. Let l(x) = 4*h(x) + 7*o(x). Let f(p) = -l(p) - 6*v(p). Factor f(m).
(m + 1)**2
Let m(w) be the second derivative of w**4/39 - w**3/39 - w**2/13 - w. Factor m(c).
2*(c - 1)*(2*c + 1)/13
Find m such that 2*m + 0 + 0*m**3 - 2*m**3 + 4*m - 4 = 0.
-2, 1
Factor -1/11*h**2 + 14/11*h - 49/11.
-(h - 7)**2/11
Let g be 4 + 2 + 1 + -5. Find m such that -24*m**4 + 21*m**4 + 5*m**3 - 2*m**3 - 3*m**5 + 3*m**g = 0.
-1, 0, 1
Factor -9*d**2 - 18*d - 8*d**3 + 14*d - 2*d**4 - d**2.
-2*d*(d + 1)**2*(d + 2)
Let c = 12/13 - 21/65. Let n(z) be the first derivative of -16/9*z**3 + 1 + 7/4*z**4 - c*z**5 + 0*z + 2/3*z**2. Find l such that n(l) = 0.
0, 2/3, 1
Let t(i) be the second derivative of -i**4/30 - 8*i**3/15 - 16*i**2/5 + 3*i. Solve t(x) = 0 for x.
-4
Let a(j) be the second derivative of -j**7/315 + j**6/45 - j**5/15 + j**4/9 - j**3/9 - j**2/2 - j. Let n(w) be the first derivative of a(w). Factor n(x).
-2*(x - 1)**4/3
Suppose -1/4*a**3 + 3/4*a**2 - 1/2 - 1/4*a**4 + 1/4*a = 0. Calculate a.
-2, -1, 1
Let w be 5/10 + (-10)/(-4). Factor 0*o**3 + o**5 + 3*o**4 + 0*o**3 + o**2 + 0*o**5 + 3*o**w.
o**2*(o + 1)**3
Let n(t) be the third derivative of -3*t**2 + 0*t**3 + 0*t**4 + 0*t + 0*t**6 - 1/525*t**7 + 1/150*t**5 + 0. Let n(z) = 0. What is z?
-1, 0, 1
Let r(b) = -16*b + 10*b**3 + 28*b**2 - 22*b**3 - 12 - 4. Let z(u) = 4*u**3 - 9*u**2 + 5*u + 5. Let p(o) = -5*r(o) - 16*z(o). Factor p(n).
-4*n**2*(n - 1)
Factor 50/7*n**3 + 8/7*n + 40/7*n**2 + 0.
2*n*(5*n + 2)**2/7
Let j = 390/17 + -2594/119. Let 4/7 + 2/7*b**3 + 10/7*b + j*b**2 = 0. What is b?
-2, -1
Let q(x) = -2 + 0 + 0 + 5 - x**2. Let y be q(0). Determine a so that -3/2*a + 3 + 3/2*a**3 - y*a**2 = 0.
-1, 1, 2
Let o = 175 + -170. Let w(a) be the third derivative of -3*a**3 - 7/30*a**o - 1/60*a**6 + 0*a - 4*a**2 + 0 - 5/4*a**4. What is t in w(t) = 0?
-3, -1
What is h in -3*h**2 + 6 + 3*h**5 - 12*h**4 + 12*h**3 - 9*h**2 - 15*h + 18*h**2 = 0?
-1, 1, 2
Let g(z) be the second derivative of -z**7/147 + z**6/105 + z**5/70 - z**4/42 - 8*z. Suppose g(l) = 0. Calculate l.
-1, 0, 1
Let o(l) be the first derivative of -l**4/5 + 8*l**3/15 - 66. Factor o(s).
-4*s**2*(s - 2)/5
Suppose g + 10 = 3*g. Factor 0*n**3 + 2*n**2 + 40*n**g - 38*n**5 - 2*n**4 - 2*n**3.
2*n**2*(n - 1)**2*(n + 1)
Let d(w) be the third derivative of 7*w**2 + 0 + 0*w**4 + 0*w**3 - 1/40*w**6 - 3/20*w**5 + 0*w. Factor d(s).
-3*s**2*(s + 3)
Let o(p) be the second derivative of -1/15*p**5 - 1/3*p**2 + 0*p**4 + 2/9*p**3 + 3*p + 1/45*p**6 + 0. Factor o(x).
2*(x - 1)**3*(x + 1)/3
Let d = 1 - -2. Let i be d - -9*2/(-12). Find g such that -1/2*g**5 - g**3 + 3/2*g - 1/2 - g**2 + i*g**4 = 0.
-1, 1
Let m = -81 - -86. Let a(z) be the first derivative of 2 + 0*z + 1/10*z**m - 1/6*z**3 - 1/8*z**4 + 1/4*z**2. Find i, given that a(i) = 0.
-1, 0, 1
Let u = -20 - -22. Factor i**u - 21 + 21.
i**2
Let g(b) be the second derivative of -3*b**5/140 - b**4/14 + 3*b. Determine q, given that g(q) = 0.
-2, 0
Let r(h) be the second derivative of 1/21*h**3 + 1/70*h**5 - 3*h + 0*h**2 + 0 - 1/21*h**4. Factor r(l).
2*l*(l - 1)**2/7
Let 1/3*t**2 - 1/2*t**3 + 2*t - 1/6*t**4 + 4/3 = 0. What is t?
-2, -1, 2
Let g(c) be the second derivative of c**4/15 + c**3/3 + 2*c**2/5 - 3*c. Let g(w) = 0. What is w?
-2, -1/2
Let o(s) = -s**2 + 4*s. Let d be o(2). Let u be (-13)/52 + 1/d. Suppose 2/5*r**2 - 1/5*r + u - 1/5*r**3 = 0. Calculate r.
0, 1
Suppose 0 = -0*k + k - 9. Suppose -3 - k = -2*n. Factor -3*x**3 -