 0 + 14*f**4 - 8/7*f - 22*f**3 + 64/7*f**i.
2*f*(f - 1)*(7*f - 2)**2/7
Let k(y) be the second derivative of -y**7/42 - y**6/30 - 23*y. Factor k(a).
-a**4*(a + 1)
Let q(a) be the second derivative of -4/21*a**3 - 4/7*a**2 - 1/42*a**4 + 0 - 2*a. What is o in q(o) = 0?
-2
Let c(y) = -5*y**2 - 7*y + 10. Let s(t) = 4*t**2 + 6*t - 8. Let z(g) = -5*c(g) - 6*s(g). Suppose z(j) = 0. Calculate j.
-1, 2
Let r(p) = -4*p**3 - p**2 + p + 1. Let x be r(-1). Factor x + 2*c**2 - 2 - 1.
2*c**2
Let t(l) be the second derivative of l**9/6048 - l**7/840 + l**5/240 + l**3/3 - 2*l. Let k(a) be the second derivative of t(a). Let k(s) = 0. Calculate s.
-1, 0, 1
Factor 21*b**2 + 6 - 3 + 15*b + 9*b**3 + 0*b**2.
3*(b + 1)**2*(3*b + 1)
Let r(o) be the first derivative of 4*o**5/5 + o**4 - 4*o**3 - 2*o**2 + 8*o + 7. Factor r(h).
4*(h - 1)**2*(h + 1)*(h + 2)
Let d(b) be the second derivative of -b**7/2940 + b**6/315 - b**5/105 + b**3/3 + 3*b. Let a(z) be the second derivative of d(z). Factor a(w).
-2*w*(w - 2)**2/7
Find q, given that 174*q - 4*q**2 - 4*q**3 - 87*q - 87*q = 0.
-1, 0
Suppose 3*b - 4 = 5*t + 27, -5*b - 3*t - 5 = 0. Let s = 77/5 + -15. Solve 0*a**3 + 0*a + 1/5*a**4 + 1/5 - s*a**b = 0.
-1, 1
Let z = -2/1497 - -8996/10479. Factor -6/7*s - z*s**4 + 4/7*s**3 + 4/7*s**2 + 2/7*s**5 + 2/7.
2*(s - 1)**4*(s + 1)/7
Let j(t) be the first derivative of 8*t**3/33 - 27*t**2/11 - 14*t/11 + 43. Solve j(u) = 0.
-1/4, 7
Determine o, given that 0*o - 2/3 + 1/6*o**2 = 0.
-2, 2
Let d be (-1)/((-1)/(6/2)). Suppose -7*o = -d*o. Factor -1/2*v**5 - 1/2*v**3 + 0*v + 0*v**2 + o + v**4.
-v**3*(v - 1)**2/2
Let h be (16/(-6))/(-2)*-3. Let w = -2 - h. Factor 8*t**4 - 8*t - 2*t**3 - w*t**4 - 4*t**2 - 12*t**2.
2*t*(t - 2)*(t + 1)*(3*t + 2)
Determine z so that -z**4 + 6*z**5 - z + 4*z**4 + z = 0.
-1/2, 0
Let q be 12/9 + -2 - (-104)/84. Determine c, given that 2/7*c - q + 2/7*c**2 = 0.
-2, 1
Suppose -7*r + 3*r = -8. Suppose r*h + 4*v = -h - 7, 4*h - 4*v = 28. Find z such that -1/4*z**5 + 1/2*z**h + 1/2*z**2 - 1/4*z - 1/4 - 1/4*z**4 = 0.
-1, 1
Suppose -w - w + 52 = 3*q, 0 = -4*w - 5*q + 100. Suppose -5*h = -2*s - 0 - 7, 0 = -2*s - 4*h + w. Determine g, given that -2*g + s*g - 1 + 0*g**2 - g**2 = 0.
1
Determine q, given that -14*q**2 + 98*q - 686/3 + 2/3*q**3 = 0.
7
Suppose -4*w = -15*w. Find h, given that w + 4/7*h + 2/7*h**2 = 0.
-2, 0
Find a such that 9/5 + 1/5*a**2 - 2*a = 0.
1, 9
Let z(u) = 56*u**4 - 44*u**3 - 56*u**2 + 78*u - 34. Let l(n) = -5*n**4 + 4*n**3 + 5*n**2 - 7*n + 3. Let y(r) = 68*l(r) + 6*z(r). Solve y(t) = 0 for t.
-1, 0, 1, 2
Let u be (16/4 - 2) + 0. Solve n**u - n**3 + 0*n**2 - n**2 = 0 for n.
0
Let d(m) be the third derivative of 1/30*m**5 + 0*m + 2*m**2 + 1/3*m**3 + 0 + 1/6*m**4. Factor d(t).
2*(t + 1)**2
Let g(t) = -10*t**3 + 16*t**2 + 16*t - 10. Let r = 9 - 8. Let d(f) = f**4 + f**2 + f - 1. Let n(p) = r*g(p) - 6*d(p). What is h in n(h) = 0?
-2, -1, 1/3, 1
Let o(i) = i**2 - 9*i - 9. Let j be o(10). Determine v, given that -1 - 2*v - v + j + 3*v**2 = 0.
0, 1
Let i = -22 - -46. Suppose -6*y + i = 4*q - 2*y, 2*q + 5*y = 21. Solve 0 - 2/7*f**2 - 2/7*f**q + 0*f = 0.
-1, 0
Let t(p) be the first derivative of -p**3/3 - 6. Determine j so that t(j) = 0.
0
Suppose 6*l - 4*l + 2*v = 4, -4*l - 5*v + 7 = 0. Find q, given that -l*q**2 + 6*q**2 + 2*q**4 - 5*q**2 = 0.
-1, 0, 1
Let r = -31 + 35. Factor -2/3*w**r - 2/3*w + 0 + 2/3*w**3 + 2/3*w**2.
-2*w*(w - 1)**2*(w + 1)/3
Suppose 147*o = 152*o - 10. Factor -o*d**3 + 0 + 2/3*d**4 + 2*d**2 - 2/3*d.
2*d*(d - 1)**3/3
Let i = 67 + -67. Let d(g) be the third derivative of 3*g**2 + 1/12*g**4 + 0 + i*g - 1/168*g**8 + 0*g**6 - 1/15*g**5 + 0*g**3 + 2/105*g**7. Factor d(v).
-2*v*(v - 1)**3*(v + 1)
Let d(t) be the third derivative of -t**5/18 + t**4/4 + 2*t**3/9 + 3*t**2. Factor d(g).
-2*(g - 2)*(5*g + 1)/3
Let a(o) be the first derivative of 1/24*o**4 + 1/12*o**3 - 2 + 0*o + 1/120*o**5 - o**2. Let q(s) be the second derivative of a(s). Factor q(i).
(i + 1)**2/2
Let l = 68/189 - 5/189. Let -25/3*i**3 - 10/3*i**2 + 0 - l*i = 0. What is i?
-1/5, 0
Let l(t) be the third derivative of t**6/360 - t**5/40 + t**4/12 + t**3/6 - t**2. Let v(o) be the first derivative of l(o). Find s such that v(s) = 0.
1, 2
Let r(y) be the first derivative of -4*y**5/5 + 3*y**4 - 8*y**3/3 - 3. Let r(s) = 0. Calculate s.
0, 1, 2
Factor -22/9 + 2/9*x**2 - 20/9*x.
2*(x - 11)*(x + 1)/9
Let c(y) = -21*y**3 - 189*y**2 - 567*y - 594. Let g(v) = -3*v**3 - 27*v**2 - 81*v - 85. Let n be 45/10 - 2/4. Let i(h) = n*c(h) - 27*g(h). Factor i(z).
-3*(z + 3)**3
Let o(k) be the first derivative of 3 - 3/5*k**2 + 0*k - 13/5*k**3 - 3*k**4. Factor o(v).
-3*v*(4*v + 1)*(5*v + 2)/5
Let n(u) = u**3 - 5*u**2 - 13*u - 5. Let b be n(7). Let d = -3/2 + 23/10. Factor 1/5 + d*t + 3/5*t**b.
(t + 1)*(3*t + 1)/5
Let t(c) be the second derivative of -c**8/336 - c**7/70 - c**6/40 - c**5/60 - c**2/2 + 4*c. Let k(g) be the first derivative of t(g). Solve k(h) = 0 for h.
-1, 0
Let t(s) be the third derivative of -3*s**6/10 - 7*s**5/15 + s**4/3 + 2*s**2. Determine c, given that t(c) = 0.
-1, 0, 2/9
Let i(s) be the second derivative of s**7/105 - s**6/15 + 3*s**5/25 - s + 20. Determine m so that i(m) = 0.
0, 2, 3
Let o(z) be the third derivative of -z**7/7560 - z**6/2160 - z**4/8 + 2*z**2. Let m(a) be the second derivative of o(a). Solve m(b) = 0 for b.
-1, 0
Suppose -3*w - 2*w + 20 = 0. Determine a so that -9*a**3 - 4*a**2 + 2*a**3 - 4*a**w - 3*a**3 = 0.
-2, -1/2, 0
Let c(n) be the third derivative of n**6/300 - n**5/25 + 11*n**4/60 - 2*n**3/5 + 53*n**2. Suppose c(w) = 0. Calculate w.
1, 2, 3
Let p(f) = f**3 + f**2 - f. Let l(y) = -2*y**4 + 2*y**3 + 5*y**2 - 4*y. Let n(i) = -l(i) + 5*p(i). Let n(m) = 0. What is m?
-1, 0, 1/2
Let j(z) be the third derivative of -1/840*z**7 + 0 - 1/240*z**6 - 1/240*z**5 + 0*z**4 + 0*z**3 + 3*z**2 + 0*z. What is y in j(y) = 0?
-1, 0
What is z in z**4 + z**2 - 4*z - 7*z**3 + 8*z**2 + z**3 + 0*z**2 = 0?
0, 1, 4
Factor 3/4*g**3 - 3/4*g**2 + 0 + 0*g.
3*g**2*(g - 1)/4
Let -4*t**4 + 13*t**2 + 4*t**2 - 13*t**2 + 0*t**3 + 4*t - 4*t**3 = 0. What is t?
-1, 0, 1
Factor -2/9*x**4 + 0 - 4/9*x**3 + 0*x - 2/9*x**2.
-2*x**2*(x + 1)**2/9
Let p be (-45)/(-4)*(-2 + -2). Let w be p/(-18)*(-1)/(-5). Suppose -v + 0 - w*v**2 = 0. Calculate v.
-2, 0
Factor -n**2 + 12*n**3 - 23*n**2 - 2*n**4 + 6*n**2.
-2*n**2*(n - 3)**2
Let p(v) = 2*v + 5. Let l be p(0). Let b(u) be the third derivative of 1/60*u**6 - 4/3*u**3 + 0*u**4 + 1/10*u**l + u**2 + 0 + 0*u. Solve b(y) = 0 for y.
-2, 1
Let g(d) = 2*d - 5. Suppose -5*u = -4*b + 3, -2*u - 18 = -3*b - b. Let h be g(b). Factor -m**2 - 4 + 2*m - m**2 + m - h*m.
-2*(m + 1)*(m + 2)
Let v(j) be the second derivative of j**4/20 + j**3/5 + 9*j. Factor v(m).
3*m*(m + 2)/5
Let n = 15/2 + -27/4. Let o(p) be the first derivative of -n*p**4 + 6*p + 3/2*p**2 - 1 + 3/5*p**5 - 3*p**3. Factor o(a).
3*(a - 2)*(a - 1)*(a + 1)**2
Let x(p) be the third derivative of -p**6/24 - p**5/6 - 5*p**4/24 + 11*p**2. Determine t, given that x(t) = 0.
-1, 0
Let u(p) = p**3 - p**2 - p + 1. Let n(w) = 4*w**4 + 15*w**3 + 21*w**2 + 9*w - 1. Let d(j) = -n(j) - u(j). Determine f, given that d(f) = 0.
-2, -1, 0
Let o(i) = -17*i**3 + 35*i**2 - 10*i + 2. Let u(w) = -69*w**3 + 140*w**2 - 40*w + 9. Let p(v) = 9*o(v) - 2*u(v). Determine g, given that p(g) = 0.
0, 1/3, 2
Let d be (-12)/27 + -3 + 11/3. Factor -d*q**2 + 0*q + 0.
-2*q**2/9
Let j = 34/57 - -4/57. Factor -2/9*o**2 - j*o - 4/9.
-2*(o + 1)*(o + 2)/9
Let b = -33/5 - -47/5. Let s(i) be the first derivative of 22/3*i**3 + 2*i**2 + 0*i + b*i**5 + 8*i**4 + 1. Factor s(g).
2*g*(g + 1)**2*(7*g + 2)
Let v(f) be the second derivative of 1/300*f**5 + 1/15*f**3 - f - 1/2*f**2 + 1/40*f**4 + 0. Let j(t) be the first derivative of v(t). Factor j(m).
(m + 1)*(m + 2)/5
Let m(w) be the second derivative of 1/24*w**4 - 3*w + 0 - 3/40*w**5 + 1/6*w**3 + 0*w**2. Factor m(z).
-z*(z - 1)*(3*z + 2)/2
Determine b, given that 2*b**5 + 107*b**4 + 4*b**2 - 111*b**4 + 28*b**3 - 4*b**5 - 24*b - 2*b**5 = 0.
-3, -1, 0, 1, 2
Let r(a) = a**3 - 15*a**2 - 14*a - 30. Let k be r(16). Suppose 4/3*q**k - 2*q**3 + 0 + 2/3*q = 0. Calculate q.
-1/3, 0, 1
Find a, given that -66 + 5*a**2 + 146 - 40*a + 0*a**2 = 0.
4
Suppose 5*s + 5 = 20. Factor 0 + 0*t - 1/3*t**2 - 5/6*t**s - 1/2*t**4.
-t**2*(t +