 the third derivative of -y**5/15 + 2*y**3/3 + 13*y**2. Solve s(f) = 0 for f.
-1, 1
Factor 2 + y**3 + 0*y + 3/2*y**4 - 9/2*y**2.
(y - 1)**2*(y + 2)*(3*y + 2)/2
Let v = -7 - -11. Suppose -3*u - 5*k - v = -6*u, -5*u + 14 = -k. Find y such that 1/4*y - 1/2*y**u + 0*y**4 + 0*y**2 + 0 + 1/4*y**5 = 0.
-1, 0, 1
Find l such that -1 - 3*l**4 + 1 - 2*l**2 + 5*l**4 = 0.
-1, 0, 1
Find c, given that 1/8*c**5 - 7/8*c**4 + c**3 + 0*c + 2*c**2 + 0 = 0.
-1, 0, 4
Let 0*w + 2/9*w**5 + 0 - 2/9*w**3 + 2/9*w**2 - 2/9*w**4 = 0. Calculate w.
-1, 0, 1
Suppose 0 = 8*a - 4*a - 48. Let -a*t + 36*t**2 - 20*t + 4 + 8*t = 0. Calculate t.
1/3
Let p(g) be the first derivative of -5*g**4/4 + 10*g**3/3 + 35*g**2/2 + 20*g + 4. Solve p(x) = 0.
-1, 4
Let q(r) be the second derivative of -r**9/7560 - r**8/2100 - r**7/2100 + r**3/6 + 2*r. Let c(z) be the second derivative of q(z). Find t, given that c(t) = 0.
-1, 0
Let s(y) = -y**3 + y**2 - 1. Let d(h) = h**5 + 3*h**4 - 3*h**3 + 3*h**2 - 3*h - 6. Let z(w) = -3*d(w) + 15*s(w). Factor z(a).
-3*(a - 1)*(a + 1)**4
Let n be 202470/(-45) + 8/6. Let d = n - -49534/11. Let -8/11 - d*f - 98/11*f**2 = 0. Calculate f.
-2/7
Suppose -x - x = -24. Factor -2 + x*c - 18*c**2 + 4 + 8*c**3 - 4.
2*(c - 1)**2*(4*c - 1)
Suppose -3*r - 4*j = -34, 5*j - 3*j - 2 = r. Let k be 4*(0 - (-1)/r). Factor 0 - 2/3*c**4 + 2/3*c**3 + 2/3*c**2 - k*c**5 + 0*c.
-2*c**2*(c - 1)*(c + 1)**2/3
Let b = 153/44 + -30/11. Let w(a) = a**2 + 2. Let x be w(1). Find t, given that t + 1/4 - t**x - b*t**4 + 1/2*t**2 = 0.
-1, -1/3, 1
Let p be (17 + -16)/((-4)/(-12)). What is t in -t**4 + 0 + 2/3*t**2 + 0*t - 1/3*t**p = 0?
-1, 0, 2/3
Let b(c) be the second derivative of c**2 - 1/6*c**4 + c + 0 + 0*c**3. Determine t so that b(t) = 0.
-1, 1
Suppose -3*d + 20 = 4*i, 10 = d + 6. Factor -2/11 + 2/11*o**i + 0*o.
2*(o - 1)*(o + 1)/11
Let f(v) = v**2 + 7*v + 8. Let i be f(-6). Let k(l) be the third derivative of 2*l**i + 0*l + 0*l**3 + 0*l**4 + 0 + 1/270*l**5. Solve k(w) = 0 for w.
0
Let o(k) be the second derivative of 0*k**2 - 1/15*k**3 - 1/30*k**4 - 2*k + 0. Factor o(a).
-2*a*(a + 1)/5
Let y(p) = 5*p**3 - 24*p**2 + 21*p - 10. Let g(k) = 5*k**3 - 25*k**2 + 20*k - 10. Let t(n) = -4*g(n) + 5*y(n). Suppose t(c) = 0. What is c?
1, 2
Suppose 0 = -3*x + l + 47, -3*l + 7*l = -8. Let m be 3/(-13)*(-20)/x. Factor 0 + 0*i + m*i**3 - 2/13*i**2 - 2/13*i**4.
-2*i**2*(i - 1)**2/13
Let w(f) be the second derivative of -2*f - 1/6*f**3 + 1/6*f**4 + 3/20*f**5 + 0 + 0*f**2. What is m in w(m) = 0?
-1, 0, 1/3
Let z(v) be the second derivative of 2*v**7/21 - 2*v**6/3 + 7*v**5/5 - v**4 - 31*v. Factor z(y).
4*y**2*(y - 3)*(y - 1)**2
Let u be ((-6)/(-4))/(0 + 9/12). Determine s, given that -2/3 + 2/3*s**2 - u*s**3 + 2*s = 0.
-1, 1/3, 1
Factor -1/5*z - 2/5 + 1/5*z**2.
(z - 2)*(z + 1)/5
Let b(w) be the third derivative of w**7/3360 - w**6/720 + 2*w**3/3 + 5*w**2. Let f(u) be the first derivative of b(u). Determine h so that f(h) = 0.
0, 2
What is d in 1/2*d**2 + 1/4*d**3 - 1/2 - 1/4*d = 0?
-2, -1, 1
Suppose -2*m = -3*m + 2. Let l(s) be the first derivative of -1 - 4/15*s**3 + 0*s**m + 0*s + 1/10*s**4. Factor l(f).
2*f**2*(f - 2)/5
Let l(s) be the first derivative of -s**6/1620 - s**5/270 - s**4/108 - 5*s**3/3 - 2. Let r(i) be the third derivative of l(i). Let r(v) = 0. Calculate v.
-1
Let z(f) be the second derivative of -f**6/150 - f**5/20 - 3*f**4/20 - 7*f**3/30 - f**2/5 - 9*f. Let z(k) = 0. Calculate k.
-2, -1
Let t(a) be the first derivative of a**3/8 - 3*a/8 - 13. Solve t(f) = 0.
-1, 1
Let g = 23 + -21. Find d, given that -4 + 17*d**2 + 8*d**2 - 21*d**g = 0.
-1, 1
Suppose -10*h = 1426 - 1446. What is p in 3/5*p**h - 6/5*p + 3/5 = 0?
1
Let x(f) = 7*f**2 + 2. Let a(d) = -13*d**2 - 3. Let q(h) = 6*a(h) + 11*x(h). Find u such that q(u) = 0.
-2, 2
Let l be -1*(-12)/8*4. Suppose -b = 4*d + l, -3*b + 5*b + 2 = -3*d. Let -1/3*c**b - 4/3*c - 4/3 = 0. What is c?
-2
Factor 6*f**2 + 2*f**3 - 6*f**3 - 3 + 1.
-2*(f - 1)**2*(2*f + 1)
Let f(a) be the first derivative of 1 + a**2 + 0*a + 2/3*a**3. What is g in f(g) = 0?
-1, 0
Let o(g) be the second derivative of 0*g**2 + 0 - 1/15*g**3 - 4/25*g**5 + g + 4/75*g**6 + 1/6*g**4. Solve o(w) = 0 for w.
0, 1/2, 1
Suppose -5*k + 19 = -1, -2*k = i - 10. Let x = 3 - 1. Factor 2*u**2 + x*u**i - 2*u**2 + 0*u**2.
2*u**2
Let c = 88/3 - 29. Let d(n) be the third derivative of -c*n**3 + 0 + n**2 - 1/30*n**5 + 0*n - 1/6*n**4. Let d(l) = 0. What is l?
-1
Let q be (-1)/2 + (-17)/(-2). Factor 0*w**3 - w**5 - 2*w**4 - 2 + 2*w**3 - w + q*w**2 - 4*w**2.
-(w - 1)**2*(w + 1)**2*(w + 2)
Let z(q) be the first derivative of -q**4 - 4*q**3 - 4*q**2 - 12. What is h in z(h) = 0?
-2, -1, 0
Factor 44*v**3 + 6*v**5 + 3 + 36*v**2 + 19*v**4 + 7*v**4 + 14*v - 1.
2*(v + 1)**4*(3*v + 1)
Let x = 7 + -3. Solve -x*c**2 - 6*c**3 - 40*c - 2*c**4 + 40*c = 0.
-2, -1, 0
Suppose -4/5*n**3 + n**2 + 1/5*n**4 - 2/5*n + 0 = 0. What is n?
0, 1, 2
Let f(h) be the second derivative of h**6/1620 + h**5/540 + h**3/3 + h. Let s(r) be the second derivative of f(r). Determine m, given that s(m) = 0.
-1, 0
Factor 2*v**4 + 4*v**4 - 239*v**5 + 7*v**2 - 15*v**2 + 241*v**5.
2*v**2*(v - 1)*(v + 2)**2
Let s(m) be the first derivative of 3*m**4/20 + 3*m**3/5 + 3*m**2/5 - 8. Let s(z) = 0. What is z?
-2, -1, 0
Let r(x) be the second derivative of 2/21*x**3 - 1/42*x**4 + 0 + 0*x**2 - 1/70*x**5 - 7*x. Factor r(h).
-2*h*(h - 1)*(h + 2)/7
Let k(t) be the third derivative of t**5/20 - t**4/60 + t**2 + 2. Solve k(h) = 0.
0, 2/15
Let u(o) be the third derivative of -o**6/30 - 2*o**5/15 + 26*o**2. Factor u(f).
-4*f**2*(f + 2)
Factor -6/5*o**2 + 0 + 2/5*o**3 + 4/5*o.
2*o*(o - 2)*(o - 1)/5
Let c(j) = -2*j + 2. Let v be c(-3). Let n be 2/v + 0/12. Factor -1/4 - 1/2*z - n*z**2.
-(z + 1)**2/4
Let h be -15*((-12)/(-5))/(-6). Factor h*w**2 + 2 + 2*w**4 + 2 - 14*w**2 + 2*w**4.
4*(w - 1)**2*(w + 1)**2
Let h be ((-8)/10)/((-30)/225). Suppose 2*f = 0, 2*f = -3*a + 6*f + h. Find z such that 0 - 1/3*z**a + 1/3*z = 0.
0, 1
Let r(p) be the second derivative of 5*p**7/42 - p**5 - 5*p**4/6 + 5*p**3/2 + 5*p**2 + 59*p. Let r(z) = 0. What is z?
-1, 1, 2
Suppose -4*n = -2*u + 16, 4*u + 4*n - 3 = -7. Factor -5*a**2 - 32*a**u - 3 - 17*a - 9*a**4 - 3*a - 30*a**3 - 1.
-(a + 1)**2*(3*a + 2)**2
Suppose 32/3 + 0*k + 2/3*k**4 + 0*k**3 - 16/3*k**2 = 0. What is k?
-2, 2
Let o = 6 + -4. Factor 2 + m - 5*m + 13*m**2 - 11*m**o.
2*(m - 1)**2
Let m(l) be the first derivative of 0*l + 0*l**2 - 6 - 1/25*l**5 + 2/15*l**3 - 1/20*l**4. Find j such that m(j) = 0.
-2, 0, 1
Let p be (8/(-10))/((-46)/115). Let 1/4 + h**p + h = 0. Calculate h.
-1/2
Suppose -n = z + 3, 0*z + 14 = 2*n - 2*z. Solve -j**3 + 2*j**4 - j**3 + 3*j - n*j**2 - j = 0.
-1, 0, 1
Let s(x) = -3*x**2 + 3*x - 4. Let y(q) = 6*q**2 - 6*q + 9. Let n(t) = 9*s(t) + 4*y(t). Find h, given that n(h) = 0.
0, 1
Let w be 1/2*6/(-3). Let d be (0 + w)/(7/(-28)). Determine a, given that 0*a - 1/4*a**d + 0 + 0*a**3 + 1/4*a**2 = 0.
-1, 0, 1
Find k such that -24/5*k**2 + 2/5*k**4 + 0*k + 0 - 8/5*k**3 = 0.
-2, 0, 6
Let 28/5*d**3 + 6*d**2 + 8/5*d**4 + 2/5 + 13/5*d = 0. Calculate d.
-2, -1/2
Let h = -2/59 - -124/177. What is m in m + 1/3*m**2 + h = 0?
-2, -1
Suppose -y - 65 = -5*g, -2*g + 3*y = 4*y - 26. What is z in 4*z**4 + 2*z**4 + 12*z**2 - z**5 - g*z**3 + 3*z - 7*z = 0?
0, 1, 2
Let w(u) be the first derivative of -u**6/40 + u**5/4 - u**4 + 2*u**3 + 2*u**2 + 2. Let b(a) be the second derivative of w(a). Solve b(z) = 0.
1, 2
Let f be 2*2 + (-133)/10. Let a = -119/30 - f. Solve -20/3*x**2 - 8/3*x - 2*x**3 + a = 0 for x.
-2, 2/3
Suppose -15*i - 8 = -17*i. Let q(b) be the first derivative of 7/3*b**3 + i*b + 8*b**2 - 2. Suppose q(k) = 0. What is k?
-2, -2/7
Let s(c) be the first derivative of -4*c**5/25 + 8*c**3/15 - 4*c/5 + 26. Factor s(b).
-4*(b - 1)**2*(b + 1)**2/5
Let s(d) be the first derivative of -5*d**6/6 + 2*d**5 - 10*d**3/3 + 5*d**2/2 - 36. Determine r so that s(r) = 0.
-1, 0, 1
Let p(q) be the third derivative of -q**9/3024 + q**7/280 + q**6/180 - q**3/6 - 4*q**2. Let c(o) be the first derivative of p(o). Factor c(j).
-j**2*(j - 2)*(j + 1)**2
Let a = -4 - -7. Suppose -6*o = -3*o. Suppose 0 + o*h**3 + 3*h**a - 8*h**2 - 2 + 7*h = 0. Calculate h.
2/3, 1
Factor -2 + 2*k**2 + k - 3*k**2 + 2*k.
-(k - 2)*(k - 1)
Find s, given that 4*s**4 - 3*s**