 derivative of 1/12*h**4 + f*h**2 - 1/24*h**3 + 0 - 1/20*h**5 + h. Factor g(d).
-d*(2*d - 1)**2/4
Let x(z) be the third derivative of z**6/600 + z**5/60 + 7*z**4/120 + z**3/10 - 15*z**2. Factor x(t).
(t + 1)**2*(t + 3)/5
Let o(z) be the third derivative of -z**8/504 - z**7/315 + z**6/90 - 2*z**2. Factor o(h).
-2*h**3*(h - 1)*(h + 2)/3
Let b(x) be the third derivative of -x**7/560 + x**6/80 - 3*x**5/80 + x**4/16 - x**3/6 + 4*x**2. Let h(z) be the first derivative of b(z). Solve h(l) = 0.
1
Suppose -6*a + 4 = -4*a. Solve -1/2 - a*t**2 + 2*t = 0.
1/2
Let n(o) be the first derivative of -o**5/30 - o**4/12 + o**2/2 + 1. Let v(j) be the second derivative of n(j). Find l, given that v(l) = 0.
-1, 0
Let p = -43 + 46. Let k(l) be the third derivative of -2/105*l**7 + 0*l**6 + 0 + 0*l**p + 1/15*l**5 + 0*l - 2*l**2 + 1/168*l**8 - 1/12*l**4. Solve k(n) = 0.
-1, 0, 1
Let c = 9 + -6. Solve 9*i - 13*i**2 + 5*i**2 - c*i = 0.
0, 3/4
Let j be (-6)/(-15) + (-2)/5. Let a(v) be the third derivative of 0 - v**2 - 1/1176*v**8 + 0*v**7 + 0*v + 0*v**4 + 1/420*v**6 + 0*v**5 + j*v**3. Factor a(i).
-2*i**3*(i - 1)*(i + 1)/7
Find x, given that -2/3*x**5 + 0*x**3 + 2*x**4 - 8/3*x**2 + 0*x + 0 = 0.
-1, 0, 2
Let r(m) be the first derivative of m**7/1050 - m**5/150 + m**3/30 + m**2 + 4. Let x(c) be the second derivative of r(c). Let x(y) = 0. Calculate y.
-1, 1
Let q(g) = g - 4. Let l be q(9). Suppose 0 = 2*u - u - l. Factor 5*t**3 + 2*t**4 - 3*t**2 + 3*t**2 - 4*t**3 - 3*t**u.
-t**3*(t - 1)*(3*t + 1)
Suppose -123*q + 3 = -122*q. Let p(f) be the second derivative of -1/18*f**4 + 1/60*f**5 - 1/18*f**3 + 0 - q*f + 1/3*f**2. Suppose p(b) = 0. What is b?
-1, 1, 2
Let b(g) be the third derivative of -g**9/7840 - 3*g**8/7840 - g**7/1960 - g**6/2520 - g**5/30 + g**2. Let n(k) be the third derivative of b(k). Factor n(q).
-2*(3*q + 1)**3/7
Let s(g) be the third derivative of g**5/60 - g**4/24 - g**3/3 - 15*g**2. Factor s(n).
(n - 2)*(n + 1)
Let p(n) be the first derivative of 4 + 2/9*n**3 + 1/6*n**4 - 1/3*n**2 - 2/3*n. What is l in p(l) = 0?
-1, 1
Let u = -74 + 74. Factor 0*h**2 - 1/5*h**4 + u*h + 0 - 1/5*h**3.
-h**3*(h + 1)/5
Suppose -2*l + 1 = -4*y + 11, 17 = 2*y + 3*l. Let j(v) be the second derivative of 0*v**2 - 2*v + 1/21*v**3 + 0 + 1/70*v**5 - 1/21*v**y. Factor j(t).
2*t*(t - 1)**2/7
Let j be (-4)/(-24) - 34/(-12). Let u be 5/(-15) + 7/j. Suppose 10*w**3 - 10*w + 6*w**2 - 1 - 10*w**u + 5 = 0. What is w?
-1, 2/5, 1
Let o(f) be the first derivative of f**5/20 - 3*f**4/16 - 5*f**3/12 + 3*f**2/8 + f + 22. Determine n so that o(n) = 0.
-1, 1, 4
Solve 1/8*o**3 - 3/8*o**2 + 0*o + 0 = 0 for o.
0, 3
Let n(z) be the third derivative of 7/60*z**5 + 1/40*z**6 + 0*z + 1/6*z**3 + 0 + 5/24*z**4 - 2*z**2. Solve n(t) = 0.
-1, -1/3
Let j(l) = l**2 - 20*l - 339. Let h be j(31). Let 1/4 + 1/8*c**h + 3/8*c = 0. What is c?
-2, -1
Let z(i) = -3*i**4 + 18*i**3 - 39*i**2 + 32*i - 12. Let n(a) = a. Let o(q) = 4*n(q) + z(q). Find m, given that o(m) = 0.
1, 2
Factor -26*k + 5*k**3 + 11*k + 7*k**2 + 3*k**2.
5*k*(k - 1)*(k + 3)
Suppose 20 = 4*y - 2*z, -3*y + 5 = -4*z + 5*z. Let x be (-3)/(-18) + (-33)/(-18). Factor 0 + 7/2*p**y - p - 5/2*p**x.
p*(p - 1)*(7*p + 2)/2
Let -1/2 - 1/4*t**2 - 3/4*t = 0. What is t?
-2, -1
Determine f so that -5/4*f**2 - f**5 + 3/4*f**3 + 0 + 1/4*f + 5/4*f**4 = 0.
-1, 0, 1/4, 1
Suppose -7*c + 2*c = -3*r - 19, 0 = -4*r + 5*c - 17. Factor -10*u + 2*u**2 + 2 + 6*u + 0*u**r.
2*(u - 1)**2
Let g(d) = 15*d - 2. Let s be g(1). Suppose -4*w**2 - 24*w**3 - 64*w**4 - 42*w**5 + s*w**3 - 4*w**4 - 19*w**3 = 0. What is w?
-1, -1/3, -2/7, 0
Factor -k**5 + k**5 - 12*k**3 - 6*k + 2*k**5 + 16*k**2.
2*k*(k - 1)**3*(k + 3)
Factor 2/17*z**3 - 90/17*z**2 - 6750/17 + 1350/17*z.
2*(z - 15)**3/17
Let l = -11 - -14. Suppose 4*p - 5 - 11 = 0. Factor g - g**5 + p*g**l - 3*g - g**5.
-2*g*(g - 1)**2*(g + 1)**2
Let j(r) be the first derivative of -r**6/90 + r**5/60 - r + 1. Let f(c) be the first derivative of j(c). Suppose f(u) = 0. What is u?
0, 1
Solve 1 + 5*v**3 - v**3 - 10*v + 3 - 2*v**2 + 4*v**2 = 0 for v.
-2, 1/2, 1
Let b(i) be the second derivative of i**4/16 + 5*i**3/8 + 29*i. Let b(k) = 0. Calculate k.
-5, 0
Solve -4/3*m**2 + 8/3*m + 16/3 - 2/3*m**3 = 0 for m.
-2, 2
Let i(h) = h**3 + h**2 + h + 1. Suppose -p + 8*z - 3*z = 16, 2*z + 26 = 4*p. Let m(y) = -5*y**3 - 4*y**2 - 4*y - 5. Let k(s) = p*i(s) + 2*m(s). Factor k(x).
-(x - 1)**2*(x + 1)
Factor -4*u**2 + 16*u**2 - 397*u**3 + 12*u + 400*u**3.
3*u*(u + 2)**2
Let o(a) be the third derivative of -a**7/350 - a**6/100 - a**5/100 + 5*a**2. Factor o(j).
-3*j**2*(j + 1)**2/5
Factor m**2 - m**4 - m**5 + 68 - 68 + m**3.
-m**2*(m - 1)*(m + 1)**2
Suppose -11*x = -12*x + 18. Let i be (2 + -6)*(-1)/x. Determine w so that i*w + 0 + 2/9*w**5 + 0*w**4 - 4/9*w**3 + 0*w**2 = 0.
-1, 0, 1
Let j(t) be the first derivative of -2/55*t**5 + 1/22*t**4 + 5 + 0*t - 1/11*t**2 + 2/33*t**3. Factor j(i).
-2*i*(i - 1)**2*(i + 1)/11
Let k be (-2)/8 + 22/84. Let j(t) be the third derivative of 0*t**3 + t**2 - k*t**4 + 0 - 1/210*t**5 + 0*t. Factor j(w).
-2*w*(w + 1)/7
Let i(u) be the third derivative of -u**7/75 - 23*u**6/300 - 2*u**5/15 - u**4/15 + 4*u**2. Let i(w) = 0. What is w?
-2, -1, -2/7, 0
Let n(o) be the first derivative of -o**6/120 + o**4/24 - o**2/2 - 1. Let k(u) be the second derivative of n(u). Factor k(b).
-b*(b - 1)*(b + 1)
Determine n so that 6 - 4*n**5 - 4*n + 8*n**3 - 2 - n**2 + n**4 - 7*n**2 + 3*n**4 = 0.
-1, 1
Let t be 2/(1 + 1/(-2)). Suppose t*v - 10 = -2. Let 6*x**2 + 4 - 2 - 6*x - v*x**3 + 3*x - 3*x = 0. Calculate x.
1
Let o(a) be the first derivative of -a**3 + 15*a**2/2 + 15. What is c in o(c) = 0?
0, 5
Let x = -382/21 + 55/3. Let d(b) be the first derivative of 1 + 0*b - 2/35*b**5 + 2/21*b**3 - 1/14*b**4 + x*b**2. Factor d(h).
-2*h*(h - 1)*(h + 1)**2/7
Let r(u) be the first derivative of 1 + 1/4*u**2 + 1/6*u**3 - u. Factor r(s).
(s - 1)*(s + 2)/2
Let t = -4 + 12. Suppose 0 = 2*z + 2 - t. Factor -2*v**z + 10*v**2 + 2*v - 10*v**2.
-2*v*(v - 1)*(v + 1)
Let w(p) be the second derivative of 2*p + 1/42*p**4 + 0*p**2 + 0 + 0*p**3 + 1/70*p**5. Factor w(d).
2*d**2*(d + 1)/7
Let o = 46/37 + -5483/4440. Let w(d) be the second derivative of 0*d**3 - o*d**6 + 0 + 4*d + 0*d**2 + 0*d**5 + 1/48*d**4. Factor w(s).
-s**2*(s - 1)*(s + 1)/4
Suppose 3*d + 4 = 2*w - 9, 3*w - 20 = 5*d. Let c be 1/w*20/6. Factor -c*f**4 + 0*f + 1/2*f**3 + 0 + 1/6*f**2.
-f**2*(f - 1)*(4*f + 1)/6
Factor -30*j**2 - 75/2*j**3 - 3/2 - 21/4*j**5 - 45/2*j**4 - 45/4*j.
-3*(j + 1)**4*(7*j + 2)/4
Let x be 2/(-3) - (-4)/(-18). Let w = x - -14/9. Let -4/3*s**3 + w + 4/3*s - 2/3*s**4 + 0*s**2 = 0. What is s?
-1, 1
Let z(f) be the second derivative of 2*f**7/21 + f**6/3 - 2*f**5/5 - 11*f**4/6 + 4*f**3/3 + 4*f**2 - 11*f. Determine v, given that z(v) = 0.
-2, -1/2, 1
Let t = 9 + -5. Suppose -2*x + 3*y = -15 - 4, -28 = -4*x + t*y. Let 0*i**x + 0 + 2*i**3 + 18*i**4 + 81/2*i**5 + 0*i = 0. Calculate i.
-2/9, 0
Let q(n) be the third derivative of n**10/18900 - n**9/4200 + n**8/2800 - n**7/6300 - n**4/8 + 4*n**2. Let d(j) be the second derivative of q(j). Factor d(h).
2*h**2*(h - 1)**2*(4*h - 1)/5
Let v(o) = o + 1. Let n(q) = 3*q**2 - 25*q + 47. Let u(w) = -n(w) - v(w). Solve u(c) = 0.
4
Let a(z) be the third derivative of z**8/10080 - z**7/2520 - z**5/60 - 3*z**2. Let l(u) be the third derivative of a(u). Factor l(y).
2*y*(y - 1)
Let p = 17 - 15. Solve -2/3*o + 2/3*o**3 - 2/3*o**p + 2/3 = 0 for o.
-1, 1
Let w(s) be the second derivative of s**6/15 - s**5/10 - 13*s. Suppose w(z) = 0. Calculate z.
0, 1
Let m(t) be the first derivative of t**3/12 - 3*t**2/8 + t/2 - 6. Factor m(w).
(w - 2)*(w - 1)/4
Let w be (-66)/(-88)*(-16)/(-6). Solve -4/3 + 0*q**2 - 2/3*q**3 + w*q = 0 for q.
-2, 1
Let m be 1274/130 + 15/(-5). Suppose 6/5 + m*g**2 - 32/5*g - 8/5*g**3 = 0. Calculate g.
1/4, 1, 3
Let a(c) be the second derivative of -c**4/6 + c**3 - 6*c. Solve a(h) = 0 for h.
0, 3
Let o be (-98)/240 + (-2)/(-10). Let q = o - -73/120. Solve 0*i**3 + 0*i + 0*i**2 - 8/5*i**5 + 0 + q*i**4 = 0 for i.
0, 1/4
Let y(v) = -2*v**2 - 2*v + 1. Let k be 12/(-4) - (-1 + 1). Let q = k - -6. Let b(r) = -5*r**2 - 4*r + 2. Let s(o) = q*b(o) - 7*y(o). Solve s(z) = 0 for z.
1
Let 4/7 - 2/7*u - 6/7*u**2 + 2/7*u**4 + 2/7*u**3 = 0. What is u?
-2, -1, 1
What is