4 + 0 - 1/3*t.
-t*(t + 1)**2*(t + 2)/6
Suppose 9 - 3*m**2 - 2*m + 4*m + 4*m = 0. Calculate m.
-1, 3
Let i(w) = w**2 - 4*w - 4. Let t be i(5). Let y be (2/(-21))/(t/(-3)). Determine m so that 2/7*m**2 - 4/7*m + y = 0.
1
Suppose 3*u + 3*u = 30. Let y(d) be the third derivative of 1/840*d**7 + 0*d + 0 + 0*d**3 + 1/1344*d**8 - d**2 - 1/480*d**6 + 0*d**4 - 1/240*d**u. Factor y(b).
b**2*(b - 1)*(b + 1)**2/4
Suppose 13*r - 21 - 5 = 0. Let k(d) be the second derivative of -1/60*d**5 + 0*d**r + 0 - 3*d - 1/36*d**4 + 0*d**3. Suppose k(c) = 0. Calculate c.
-1, 0
Suppose 9 - 6 = y. Let o(f) be the first derivative of -21/5*f**5 + y - f**2 + 5*f**4 + f**3 + 0*f. Factor o(u).
-u*(u - 1)*(3*u + 1)*(7*u - 2)
Suppose 0 = 6*s - s - h - 51, -5*s = h - 59. Let p be s/22 + 0 + 1. Factor 0*a + p*a**2 - 3/2.
3*(a - 1)*(a + 1)/2
Solve 2/5*n**3 + 0 + 4/5*n - 6/5*n**2 = 0 for n.
0, 1, 2
Let w = 0 - -3. Let j(t) = -t**2. Let r(y) = -7*y**2 - 7*y + 2. Let m(i) = w*j(i) - r(i). Find u such that m(u) = 0.
-2, 1/4
Let g(q) be the second derivative of q**4/78 - 4*q**3/13 + 36*q**2/13 - 2*q. What is f in g(f) = 0?
6
Solve 0 - 1/3*z**3 - 2/3*z + z**2 = 0.
0, 1, 2
Let h(i) = -i**3 + i**2 + i + 2. Let n = -2 - -4. Let l be h(n). Find w such that -1/6*w**3 + 0*w - 1/6*w**2 + l = 0.
-1, 0
Let i = -2549/7 - -365. Suppose 0 = -3*j + j + 4. Factor 2/7*t**3 + 6/7*t + 2/7 + i*t**j.
2*(t + 1)**3/7
Let q(y) be the first derivative of 2*y**6/15 + 14*y**5/25 + 2*y**4/5 - 8*y**3/15 + 7. Factor q(j).
2*j**2*(j + 2)**2*(2*j - 1)/5
Let s(j) = -j**2 - 5*j - 2. Let g(c) = -c**3 + c**2 - 4. Let a be g(0). Let r be s(a). Factor 2*p**2 + 2*p**2 - 5*p**2 + 0*p**r.
-p**2
Let j(r) = -r**3 + 29*r**2 + 30*r. Let q be j(30). Let n(p) be the first derivative of q*p - 5/12*p**3 + 1/4*p**2 - 5. Let n(m) = 0. What is m?
0, 2/5
Suppose 18*v = 5*v. Let b(z) be the first derivative of 3 + v*z - 1/2*z**2 + 1/6*z**3. Find q such that b(q) = 0.
0, 2
Let x be (-4)/(-18) + 52/9. Suppose -5*c = 2*p - 0*c + x, 3*p + c - 4 = 0. Let 0 + 0*r - 4/9*r**3 - 2/9*r**4 - 2/9*r**p = 0. Calculate r.
-1, 0
Let l(g) = -5*g**3 + 2*g**2 + 3*g - 3. Let z(j) = j**3 - j + 1. Let b = -2 + 1. Let s(f) = b*l(f) - 3*z(f). Factor s(w).
2*w**2*(w - 1)
Let c(w) = w**4 + w**2 + w. Let p(v) = -3*v**4 + 2*v**3 - 3*v**2 - 2*v. Let n(s) = 6*c(s) + 3*p(s). What is d in n(d) = 0?
0, 1
Let f(p) be the third derivative of 3*p**5/2 - 2*p**4/3 - 4*p**3/3 - 4*p**2. Factor f(q).
2*(5*q - 2)*(9*q + 2)
Let b = -26 + 53/2. Suppose -3*u = -6*j + 8*j - 4, 0 = -4*j - 2*u + 8. Factor -1/2*m**3 + 0 + b*m**j + 0*m.
-m**2*(m - 1)/2
Let q(r) be the first derivative of 3 + 2*r - 1/2*r**2 + 1/4*r**4 - 2/3*r**3. Factor q(c).
(c - 2)*(c - 1)*(c + 1)
Let j(n) be the first derivative of n**5/20 + n**4/2 + 3*n**3/2 + 9*n**2/2 - 7. Let w(v) be the second derivative of j(v). Factor w(k).
3*(k + 1)*(k + 3)
Let q(z) = -13*z - 63. Let y be q(-5). Determine m so that 2*m + 4/7 - 2*m**3 - 4/7*m**y = 0.
-1, -2/7, 1
Suppose -4*q - q = -75. Let u be 2/40 - (-3)/q. Factor u*w**2 + w + 1.
(w + 2)**2/4
Let j(t) be the third derivative of -t**6/360 - t**5/60 + 2*t**3/9 - t**2 + 25. Let j(k) = 0. Calculate k.
-2, 1
Suppose 2*y + 2*h = -2*y + 4, 3*y + 3 = -3*h. Factor 4*z**y + 3 + z - 13*z**3 - 3*z**2 + 8*z**3.
-(z - 1)*(z + 1)*(z + 3)
Factor 25*v**3 - v - 27*v**2 + 32*v**2 + v.
5*v**2*(5*v + 1)
Let x(o) = -62*o + 1. Let g be x(-1). Let i be g/28 - (-1)/(-4). Solve 0*q**3 + 0*q + 0 + 0*q**i - 2/5*q**5 - 2/5*q**4 = 0 for q.
-1, 0
Let j(y) be the first derivative of -2*y**3/27 - 4*y**2/9 - 8*y/9 - 13. Let j(k) = 0. Calculate k.
-2
Factor -5*l + 7*l + 2*l - 2*l - 1 - 2*l**3 + l**4.
(l - 1)**3*(l + 1)
Suppose 6*u = 14 + 22. Let l(w) be the first derivative of -5*w**2 + 1 - 2*w**5 - 1/3*w**u - 2*w - 5*w**4 - 20/3*w**3. Let l(i) = 0. What is i?
-1
Let k(r) be the first derivative of -4 + 4/9*r**3 + 0*r - 1/6*r**4 - 1/3*r**2. Factor k(h).
-2*h*(h - 1)**2/3
Let f(l) be the first derivative of l**8/84 + l**7/105 - 7*l**6/480 + l**5/240 - 7*l**2/2 + 5. Let v(n) be the second derivative of f(n). Factor v(d).
d**2*(d + 1)*(4*d - 1)**2/4
Suppose 0 = -7*k + 18*k - 22. Find y such that 2/13*y**k - 2/13*y + 0 = 0.
0, 1
Let u = 10 + -4. Suppose 3 - u + 4*f + 1 - 2*f**2 = 0. What is f?
1
Let t(v) be the first derivative of 2 - v**2 - 2/3*v**3 + 4*v. Solve t(q) = 0 for q.
-2, 1
Let s(z) be the third derivative of z**8/84 - 26*z**7/105 + 11*z**6/5 - 54*z**5/5 + 63*z**4/2 - 54*z**3 + z**2. Suppose s(o) = 0. Calculate o.
1, 3
Let g = -22 - -20. Let b be (g/(-3))/((-24)/(-54)). Solve b*d**2 + 3/2*d + 0 = 0.
-1, 0
Let g = -185/2 - -93. Determine n so that -1/4*n**2 + 1/4*n + g = 0.
-1, 2
Let l(q) be the second derivative of 0*q**3 - q + 0 - 1/4*q**2 + 1/24*q**4. Factor l(c).
(c - 1)*(c + 1)/2
Let q be 4/(-16) + (-2)/(-8). Factor -3*a - 2*a**3 + 0 + 5*a**3 + 3 + q*a**3 - 3*a**2.
3*(a - 1)**2*(a + 1)
Let d be 4/(-6) - (-63)/54. Find h, given that -h - d - 1/2*h**2 = 0.
-1
Suppose 0 = x + 4*h + 18, -4*h = -3*x - 6 + 32. Suppose x*q - 9 = 1. Solve 7*b**2 + 49/4*b**q - b + 0 - 7*b**4 - 45/4*b**3 = 0 for b.
-1, 0, 2/7, 1
Let y(m) be the second derivative of m**4/66 + m**3/11 + 2*m. Factor y(h).
2*h*(h + 3)/11
Let y(d) = d**2 + 4*d. Let x be y(-3). Let z = x + 7. Factor 17*n**z + 19*n**4 - 27*n**3 + 6*n**2 + 5*n**5 - 20*n**5.
-3*n**2*(n - 1)**2*(5*n - 2)
Suppose 44*i - 146 = 74. Factor -1/2*r**4 + 1/2*r**3 + 0 + 1/2*r**2 + 0*r - 1/2*r**i.
-r**2*(r - 1)*(r + 1)**2/2
Let v(h) be the third derivative of h**7/10080 - h**5/480 - h**4/12 - 3*h**2. Let p(l) be the second derivative of v(l). Let p(k) = 0. Calculate k.
-1, 1
Suppose 5*t = 2*t - x - 299, -5*t - 502 = -2*x. Let l be (6/15)/((-32)/t). What is z in z**2 + 0 + 1/4*z**5 + 2*z**3 + l*z**4 + 0*z = 0?
-2, -1, 0
Let y(f) = 5*f**2 - 14 - 20*f**2 + 8 - 3. Let q(r) = 7*r**2 + 4. Let m(a) = -9*q(a) - 4*y(a). Suppose m(x) = 0. Calculate x.
0
Let n(u) = 2*u - 21. Let s be n(13). Let d(k) be the first derivative of 2*k + 5*k**2 + 2*k**s + 5*k**4 + 20/3*k**3 + 1 + 1/3*k**6. Factor d(b).
2*(b + 1)**5
Let c(q) be the first derivative of -q**4/14 - 4*q**3/7 - 9*q**2/7 - 3. Find v, given that c(v) = 0.
-3, 0
Suppose 4*m + 1 = -n + 6, 5*n + 21 = 3*m. Find p, given that 3/4 + 3/4*p**m + 3/2*p = 0.
-1
Let b(z) be the first derivative of 2*z**3/3 + 4*z**2 + 8*z + 13. Find w, given that b(w) = 0.
-2
Let i be (-3)/4 - (-95)/65. Let v = i + -6/13. Determine c, given that 1/4*c**2 + 0 - v*c = 0.
0, 1
Let o(f) be the third derivative of f**8/60480 - f**6/2160 - f**5/60 - f**2. Let d(a) be the third derivative of o(a). Factor d(q).
(q - 1)*(q + 1)/3
Solve -209 + 12*g**2 + 3*g - 9*g**3 - 3*g + 203 + 3*g = 0.
-2/3, 1
Factor -3*a - 3/4*a**2 + 0.
-3*a*(a + 4)/4
Let v be 56/(-6) - (-16)/(-24). Let y be 20/25*v/(-4). Factor -5*j**4 - j**y - 8*j**3 + 0*j**2 + 3*j**2 - j**4 + 4*j.
-2*j*(j + 1)**2*(3*j - 2)
Factor 0*g**3 - 1/3*g**5 - 1/3*g**4 + 0 + 0*g**2 + 0*g.
-g**4*(g + 1)/3
Let v(q) be the third derivative of -q**6/24 + 11*q**5/12 - 175*q**4/24 + 125*q**3/6 + 7*q**2. Let v(c) = 0. Calculate c.
1, 5
Suppose -6*x - 630*x**2 - 4 + 634*x**2 + 4 + 2*x**3 = 0. What is x?
-3, 0, 1
Factor 3/4*s - 3/4*s**3 + 3/4*s**2 + 0 - 3/4*s**4.
-3*s*(s - 1)*(s + 1)**2/4
Let m(q) be the second derivative of -q**7/147 + q**5/10 - q**4/7 + 18*q. Let m(v) = 0. Calculate v.
-3, 0, 1, 2
Suppose -1 = 4*k - 3*k. Let i(f) = -f**3 - 6*f**2 + 5. Let s(x) = x**2 - 1. Let h(w) = k*i(w) - 5*s(w). Factor h(u).
u**2*(u + 1)
Suppose -3*y = 5*c - 6 - 11, -c - 5*y = 1. Factor 3*h**3 - c*h**3 - 2*h**3 + 3*h**2.
-3*h**2*(h - 1)
Let z be 42*(2 - (-5)/(-10)). Let g = z + -121/2. Factor -1/2*s**3 - 4*s + g*s**2 + 2.
-(s - 2)**2*(s - 1)/2
Let v = 3/34 - -35/374. Let 0*a**4 + v*a**5 - 8/11*a**3 + 4/11*a**2 + 6/11*a - 4/11 = 0. What is a?
-2, -1, 1
Let t(u) be the second derivative of 0 + 0*u**3 + 1/5*u**2 + 2*u - 1/30*u**4. Factor t(f).
-2*(f - 1)*(f + 1)/5
Let f(p) be the second derivative of -2*p**6/15 + 2*p**5/5 + p**4/3 - 4*p**3/3 + 11*p. Suppose f(r) = 0. Calculate r.
-1, 0, 1, 2
Factor -3/5*d**3 - 3/5*d**2 + 0*d + 0.
-3*d**2*(d + 1)/5
Let o(c) be the first derivative of -5*c**6/6 + 15*c**4/2 - 40*c**3/3 + 15*c**2/2 - 13. Factor o(y).
-5*y*(y - 1)**3*(y + 3)
Let w = -40 + 40. Let t = 6 + -3. Factor 0 - 1/3*z**2 + 1/3*z**t + w*z.
z**2