1/210*t**7 + 1/60*t**5 + 2*t**2 + 0*t**4 + s*t**6 + 0*t + 0*t**3. Let c(u) = 0. Calculate u.
-1, 0
Let p be 4 - ((-33)/(-6) + -2). Let s(w) be the second derivative of 2*w - p*w**4 - w**3 + 0 - 1/10*w**5 - w**2. Factor s(c).
-2*(c + 1)**3
Suppose 0 = -4*n - 14 + 46. Suppose 0 = 4*j - 0*j - n. Factor -2/5*l + 4/5 - 2/5*l**j.
-2*(l - 1)*(l + 2)/5
Let i(f) be the third derivative of 0*f - 1/60*f**5 + 1/6*f**3 + 0*f**4 + 0 + f**2. Factor i(c).
-(c - 1)*(c + 1)
Let -8*w**2 - 3*w - 4 - w**2 + 10*w**2 = 0. What is w?
-1, 4
Suppose -4*n + 5*l = 4*l - 3, 3*n + l = -3. Factor 2/7*q**2 + n*q + 2/7*q**3 + 0.
2*q**2*(q + 1)/7
Let l(p) be the third derivative of 4*p**6/15 - 2*p**5/5 - 5*p**4/16 - p**3/12 - 42*p**2. Factor l(u).
(u - 1)*(8*u + 1)**2/2
Let k = 24 + -22. Let l(p) be the third derivative of -2*p**k + 1/70*p**7 + 0*p**3 - 7/480*p**6 - 7/240*p**5 + 0 + 0*p + 1/48*p**4. Let l(f) = 0. Calculate f.
-2/3, 0, 1/4, 1
Let q(l) be the second derivative of -1/16*l**4 + 0 + l**2 - 2*l + 1/80*l**5 + 0*l**3. Let i(z) be the first derivative of q(z). Factor i(v).
3*v*(v - 2)/4
Let i = 6 + -4. Determine d, given that -48*d**4 - 36*d**3 + 28*d**5 - 22*d**3 + 14*d**3 + 48*d**i + 4*d + 12*d = 0.
-1, -2/7, 0, 1, 2
Let k(z) be the first derivative of -3*z**4/4 + 3*z**3 - 9*z**2/2 + 3*z + 11. Factor k(m).
-3*(m - 1)**3
Let t(r) = -r**2 - 30*r + 40. Let w(q) = -5*q**2 - 180*q + 240. Let j(h) = -35*t(h) + 6*w(h). Let j(c) = 0. What is c?
2, 4
Let q(k) = 4*k**2 - 8. Let c(b) = b**3 - b - 1. Let f(d) = 4*c(d) - q(d). Find i, given that f(i) = 0.
-1, 1
Suppose -90*b = -95*b. Let x(g) be the third derivative of 0 + 1/48*g**4 + 0*g + g**2 - 1/240*g**6 + 0*g**5 + b*g**3. Find m, given that x(m) = 0.
-1, 0, 1
Determine r, given that -40*r - 147*r**2 - 27*r - 15 - 17*r + 3 = 0.
-2/7
Let n(x) = x + 7. Let i be n(-7). Let d = i + 5. Factor -2/9*y**3 + 2/9*y**2 - 2/9*y**4 + 2/9*y**d + 0 + 0*y.
2*y**2*(y - 1)**2*(y + 1)/9
Let l(b) be the third derivative of b**6/2520 - 7*b**3/6 + 4*b**2. Let x(m) be the first derivative of l(m). What is z in x(z) = 0?
0
Let g(b) be the first derivative of 5*b**4/4 + 10*b**3/3 - 10*b**2 - 40*b + 39. Suppose g(w) = 0. Calculate w.
-2, 2
Let b(m) be the third derivative of -m**7/1155 - m**6/330 + m**4/66 + m**3/33 - 7*m**2. Determine j, given that b(j) = 0.
-1, 1
Let s(k) be the first derivative of -2*k**3/9 + k**2/3 - 12. What is l in s(l) = 0?
0, 1
Let h(c) be the third derivative of -c**7/2940 + c**6/1260 - 5*c**3/6 - 6*c**2. Let s(a) be the first derivative of h(a). Factor s(m).
-2*m**2*(m - 1)/7
Let r(z) be the first derivative of -15/2*z**2 - 3*z - 1 - 3*z**5 - 10*z**3 - 15/2*z**4 - 1/2*z**6. Solve r(h) = 0 for h.
-1
Determine m, given that 9/2 + 12*m**4 - 29/2*m**2 + 15/2*m**3 - 3/2*m - 8*m**5 = 0.
-3/4, 1
Let n be (-4)/12 - (-52)/12. Let b(r) be the second derivative of 1/6*r**n + 0 + 2*r + 0*r**2 + 1/3*r**3. Factor b(k).
2*k*(k + 1)
Let w(v) be the third derivative of 0 + 0*v**4 + 0*v - 2*v**2 - 1/360*v**6 + 0*v**5 - 1/630*v**7 + 0*v**3. Suppose w(z) = 0. What is z?
-1, 0
Let y(h) = 4*h**3 + 3*h**2 - 5. Let d(v) = 2*v**3 + 2*v**2 - 3. Let s(r) = -7*d(r) + 4*y(r). Let j be s(1). Factor p**2 + j + 3*p**2 - 5*p**2.
-(p - 1)*(p + 1)
Let t(v) = -4*v**3 + 2*v**2 + 2*v - 1. Let k be t(-2). Let i be (-25)/k*14/(-4). Find d, given that 1/4*d**5 + 1/4 + 5/4*d**4 + 5/2*d**3 + i*d**2 + 5/4*d = 0.
-1
Solve 0 + 1/4*c**5 + 1/8*c**2 - 1/4*c + 3/4*c**3 - 7/8*c**4 = 0.
-1/2, 0, 1, 2
Let v(t) be the third derivative of -t**5/100 + 3*t**2. Factor v(b).
-3*b**2/5
Let c = -57 - -59. Factor 0 - 18/11*h**c + 14/11*h**3 + 4/11*h.
2*h*(h - 1)*(7*h - 2)/11
Let z be 1/3 + 1 + 8/(-6). Factor z*i**2 + 2/9*i**4 + 4/9*i**3 - 4/9*i - 2/9.
2*(i - 1)*(i + 1)**3/9
Let j(l) = 7*l**3 - 13*l**2 - 20*l. Let f(p) = 22*p**3 - 38*p**2 - 60*p. Let q(c) = -3*f(c) + 10*j(c). Solve q(i) = 0.
-1, 0, 5
Let x = -1/435 + 437/870. Factor -1/2*u**2 + x + 1/2*u**3 - 1/2*u.
(u - 1)**2*(u + 1)/2
Let x be (1*-3)/((-15)/(-70)). Let w(m) = m**2 + 4*m + 1. Let a(q) = -4*q**2 - 13*q - 4. Let v(l) = x*w(l) - 4*a(l). Factor v(s).
2*(s - 1)**2
Let g(y) be the first derivative of 2*y**6/27 + 4*y**5/15 + 2*y**4/9 - 8*y**3/27 - 2*y**2/3 - 4*y/9 + 6. Factor g(j).
4*(j - 1)*(j + 1)**4/9
Let m be (-18)/15*(3 + 2). Let i be ((-9)/(-4))/((-3)/m). Factor 0 + 8*p**2 - 2*p - 21/2*p**3 + i*p**4.
p*(p - 1)*(3*p - 2)**2/2
Let p(c) = -c**2 + 5*c - 3. Let d be p(5). Let q be 4 + -3 + (-1)/d. Factor -2/3*j**2 - q*j + 0 + 10*j**3.
2*j*(3*j + 1)*(5*j - 2)/3
Let s(t) = 12*t**3 + 72*t**2 + 152*t + 88. Let p(d) = 8*d**3 + 48*d**2 + 101*d + 59. Let o(b) = 8*p(b) - 5*s(b). Factor o(l).
4*(l + 2)**3
Let i(m) be the first derivative of m**6/1260 - m**4/84 + m**3 + 1. Let x(s) be the third derivative of i(s). Solve x(v) = 0.
-1, 1
Let l(i) be the second derivative of -2*i + 1/4*i**4 + 0 + 2*i**2 + 4/3*i**3. Determine c, given that l(c) = 0.
-2, -2/3
Let c(p) be the first derivative of -2*p**3/3 - 2*p**2 + 6. Find s such that c(s) = 0.
-2, 0
Let u(w) = 2*w + 4. Let g be u(4). Solve z**3 + 12 + z**2 - g = 0 for z.
-1, 0
Let j be 64/10*36/(-8). Let l = j - -29. Solve -2/5*u**2 - l*u**4 + 0 + 0*u + 3/5*u**3 = 0.
0, 1, 2
Let y(s) be the first derivative of 0*s**3 - 1/12*s**4 + 0*s + 2 + 1/60*s**6 - s**2 + 0*s**5. Let j(k) be the second derivative of y(k). What is l in j(l) = 0?
-1, 0, 1
Let k(m) be the first derivative of 1/4*m**3 + 0*m + 2 - 3/20*m**5 - 3/8*m**2 + 3/16*m**4. Factor k(g).
-3*g*(g - 1)**2*(g + 1)/4
Let q(u) be the third derivative of u**5/20 + u**4 + 8*u**3 - 12*u**2. Suppose q(o) = 0. Calculate o.
-4
Let d(b) = b**4 + b**2. Let z(w) = 12*w**4 - 27*w**3 - 24*w**2 + 27*w - 6. Let n(v) = -9*d(v) - z(v). Find p such that n(p) = 0.
-1, 2/7, 1
Let g be 24/7 - (-54)/(-126). Let h(i) be the second derivative of -i - 1/6*i**g - 1/4*i**2 - 1/24*i**4 + 0. Find d, given that h(d) = 0.
-1
Let g be 2/16*(-2 - -6). Factor g*m + 0 - 1/4*m**3 - 1/4*m**2.
-m*(m - 1)*(m + 2)/4
Suppose -13*a + 19*a = 18. Factor -t**2 - 1/2*t**a + 0 - 1/2*t.
-t*(t + 1)**2/2
Factor 15*w**3 + 5*w**4 + 0 - 617*w + 0 + 15*w**2 + 622*w.
5*w*(w + 1)**3
Let u be 120/72*(2 + 1). Let 5*h**3 - 1/2 - u*h**2 + 1/2*h**5 - 5/2*h**4 + 5/2*h = 0. What is h?
1
Let i(n) be the first derivative of 4*n**3/3 + 8. Determine u, given that i(u) = 0.
0
Let z(i) be the second derivative of i**10/52920 - i**9/52920 - i**8/23520 + i**4/4 - 5*i. Let o(h) be the third derivative of z(h). Find l such that o(l) = 0.
-1/2, 0, 1
Let v(w) be the third derivative of w**9/6048 + w**8/1680 - w**6/360 - w**5/240 - w**3/2 - 2*w**2. Let b(m) be the first derivative of v(m). Factor b(y).
y*(y - 1)*(y + 1)**3/2
Let l(p) = -4*p**2 + 3*p + 1. Let w(k) = 11*k**2 - 9*k - 4. Let r(h) = -8*l(h) - 3*w(h). Factor r(m).
-(m - 4)*(m + 1)
Let m = 0 - -3. Suppose 0*x - x = -m. Suppose y**4 + y - y**2 + 4*y**4 - y + y**x + 3*y**5 = 0. What is y?
-1, 0, 1/3
Suppose h - 65 = -65. Factor 0 - 1/5*n**2 + h*n.
-n**2/5
Let v(t) be the second derivative of t**5/80 + t**4/48 - t**3/12 + 26*t. Factor v(w).
w*(w - 1)*(w + 2)/4
Let i(b) = -11*b**2 - 21*b - 10. Let u(y) = -126*y - 99*y - 87*y**2 + 57*y + 1 - 82. Let f(m) = 33*i(m) - 4*u(m). Let f(a) = 0. Calculate a.
-1, -2/5
Let v(g) = g**2 - 11*g - 3. Let b be -21 - (-1 - (-4 + 4)). Let y(w) = 8*w**2 - 76*w - 20. Let n(z) = b*v(z) + 3*y(z). Find q, given that n(q) = 0.
0, 2
Let m = 10 - 68/7. Let u be 0 + 0 - (-6 + 4). Factor -2/7*c**u + m*c**4 + 0 + 0*c + 0*c**3.
2*c**2*(c - 1)*(c + 1)/7
Suppose -6 = -5*z + 9. Let n = 1 + 2. Suppose z*g**2 - 2*g**n - 5*g**3 - g**2 = 0. Calculate g.
0, 2/7
Let s = 759/5 - 151. Factor 2/5*i**3 + s + 8/5*i**2 + 2*i.
2*(i + 1)**2*(i + 2)/5
Find b such that -12*b**3 - 4 + 4*b**2 + 0*b + 0*b + 12*b = 0.
-1, 1/3, 1
Let l(c) = c**2 - 24*c + 64. Let k be l(21). Find f, given that 1/2*f**2 + k + 3/2*f = 0.
-2, -1
Solve 24*w**3 + 12 - 4*w - 20*w**3 + 3*w**2 - 15*w**2 = 0 for w.
-1, 1, 3
Let s(w) be the first derivative of -3*w**5/35 - 15*w**4/28 - 4*w**3/7 + 2. Find v such that s(v) = 0.
-4, -1, 0
Let f(y) be the third derivative of 1/270*y**5 + 0*y + 0*y**3 + 5*y**2 + 0 + 0*y**4. Let f(v) = 0. Calculate v.
0
Let d = -527/24 - -22. Let y(t) be the second derivative of 2/15*t**6 - 1/21*t**7 + 0 - 1/8*t**5 + 2*t + 0*t**3 + 0*t**2 + d*t**4. Fact