Let i(y) be the second derivative of -y**7/11340 - y**4/4 + y. Let f(c) be the third derivative of i(c). Let f(h) = 0. Calculate h.
0
Suppose 5*s - 3*l + 29 = 0, -5*s - 22 = -3*s + 4*l. Let h(z) = -z - 3. Let m be h(s). Factor -2*j**2 + 4*j**m - 25*j**4 + 11*j**3 + 2*j**3.
-j**2*(3*j - 1)*(7*j - 2)
Let i(f) be the third derivative of f**5/40 - f**4/16 - 9*f**2. What is m in i(m) = 0?
0, 1
Let o(b) = -2*b**3 + 8*b**2 + 8*b + 4. Let c(d) = 0*d - d**2 - d - 2 + 1. Let n(g) = 6*c(g) + o(g). Find l such that n(l) = 0.
-1, 1
Suppose 5 = -2*a - 3*m, 51 - 65 = -4*a + 2*m. Let 3/4*v - 3/2*v**a + 3/4 = 0. Calculate v.
-1/2, 1
Find u, given that -4/7*u**3 + 1/7 - 6/7*u + 9/7*u**2 = 0.
1/4, 1
Let t be 2/3 - 298/(-78). Let g = t + -15/13. Determine q, given that -2/3 - 2*q**3 - g*q - 14/3*q**2 = 0.
-1, -1/3
Let p(f) be the second derivative of -f**6/180 + f**4/24 - f**3/18 - 17*f. Solve p(j) = 0.
-2, 0, 1
Suppose -9*y = -4*y. Factor 2/7*w**4 + 0*w**2 + 0 + 0*w**3 + y*w - 2/7*w**5.
-2*w**4*(w - 1)/7
Let 2/9*d**3 - 2/9*d**4 + 0*d + 4/9*d**2 + 0 = 0. Calculate d.
-1, 0, 2
Let p(y) be the third derivative of 0 - 2*y**2 + 0*y - 1/8*y**4 + 1/60*y**5 + 1/3*y**3. Factor p(n).
(n - 2)*(n - 1)
Let k be (2/(-4))/(4/(-48)). Let -12*z**2 - 15*z - 8 - k*z**3 + 3*z**3 + 2 = 0. Calculate z.
-2, -1
Let l(i) = 15*i**2 - 15*i. Let q(d) = -d**3 + 29*d**2 - 29*d. Let h(j) = -5*l(j) + 3*q(j). Solve h(w) = 0 for w.
0, 2
Solve -2/11*x**2 - 162/11 - 36/11*x = 0 for x.
-9
Let k = -52 - 8. Let y be ((-3)/(-9))/((-5)/k). Let 4/3*c**3 - 2/3*c**5 - 2/3 - 2/3*c**y - 2/3*c + 4/3*c**2 = 0. Calculate c.
-1, 1
Let s(m) be the second derivative of -m**5/150 - m**4/60 + 3*m**2/2 - 2*m. Let w(k) be the first derivative of s(k). Factor w(r).
-2*r*(r + 1)/5
Let j(d) = -7*d**3 - 30*d**2 - 55*d - 32. Let y(a) = -22*a**3 - 90*a**2 - 165*a - 97. Let n(l) = 7*j(l) - 2*y(l). Factor n(k).
-5*(k + 1)*(k + 2)*(k + 3)
Factor -2*k**3 + 5*k**3 + 0*k**4 + k**4 - 9*k**3 - 24*k**2 - 9 - 26*k.
(k - 9)*(k + 1)**3
Factor -12 - 3 - 7 - 20*x - 5*x**2 + 7.
-5*(x + 1)*(x + 3)
Let j(z) = 3*z**2 - 2*z + 3. Let s be j(2). Factor 3*r**3 + 12*r**2 + 2 + 8*r**3 - 2*r**3 - s*r.
(r + 2)*(3*r - 1)**2
Let x(h) = 199 - 3*h - 5*h**3 - 203 + 5*h**2 + h. Let u(r) = -r**2 + r**3 + 2*r + r + 1 - 2*r. Let o(w) = -12*u(w) - 3*x(w). Factor o(y).
3*y*(y - 2)*(y + 1)
Let c be -2 - (-4 + 3) - -4. Let w be c/7 - (-30)/28. Find u, given that 0 - 3/4*u**3 + w*u**2 - 3/4*u = 0.
0, 1
Let p(d) be the third derivative of -d**5/12 + 5*d**4/4 - 15*d**3/2 - 9*d**2. Factor p(s).
-5*(s - 3)**2
Let s(q) be the second derivative of 0*q**2 - 5*q - 1/40*q**5 + 0*q**3 - 1/24*q**4 + 0. Factor s(d).
-d**2*(d + 1)/2
Let a(n) be the third derivative of -4*n**7/105 + n**6/2 - 7*n**5/15 + 42*n**2. Suppose a(o) = 0. What is o?
0, 1/2, 7
Let x(g) = g**2 + 2*g + 3. Let m be x(-3). Suppose 5*a - 2*a = m. Factor -2/3*u**3 - 4/3*u**a + 4/3 + 2/3*u.
-2*(u - 1)*(u + 1)*(u + 2)/3
Factor 2/3*d**2 - 8/3 + 0*d.
2*(d - 2)*(d + 2)/3
Let f(p) be the third derivative of 1/48*p**4 + 3/280*p**7 + 0 + 3/80*p**6 + 0*p - 3*p**2 + 11/240*p**5 + 0*p**3. Solve f(o) = 0 for o.
-1, -2/3, -1/3, 0
What is p in 1/7*p**2 + 0*p + 0 = 0?
0
Let w(j) be the third derivative of 1/42*j**7 + 1/60*j**6 + 1/24*j**4 + 0*j + 1/6*j**3 + 0 - 1/10*j**5 - 1/112*j**8 + 3*j**2. Let w(f) = 0. Calculate f.
-1, -1/3, 1
Let h(c) be the third derivative of -c**6/420 + c**4/28 + 2*c**3/21 - 11*c**2. Factor h(k).
-2*(k - 2)*(k + 1)**2/7
Let p = 7 + -4. Let o = -18 - -32. Determine h, given that 2 - o*h + 3*h**p + 13*h - h**2 - 2*h**3 - 1 = 0.
-1, 1
Let f(p) be the second derivative of -p**4/12 + p**3/6 + p**2 + 12*p. Factor f(k).
-(k - 2)*(k + 1)
Suppose 1/3*l**3 + l + l**2 + 1/3 = 0. What is l?
-1
Suppose 3*f + 3 - 19 = h, 5*h = 3*f - 32. Let c be (9/30)/((-6)/h). Solve 2/5*d**2 + 1/5*d - c - 2/5*d**3 - 1/5*d**4 + 1/5*d**5 = 0 for d.
-1, 1
Suppose -2*c - 11 = -5*p, 3*p = -c - 0*p. Let f be 2/(-2) - c - 0. Determine y, given that -1 - y**2 - y - 1 + f*y**3 - 4*y = 0.
-1, -1/2, 2
Let j(f) = -f**3 + 4*f**2 + 5*f + 5. Let i be j(5). Suppose 4*s = 2*r + 2, 0 = -i*s + 2*r + 4. Suppose g + g**2 + g - 3*g**s = 0. What is g?
0, 1
Let x be (-22)/(-8) + 9/36. Let t be (1 + 0/(-2))*2. Suppose 10/3*m + 4/9 + 100/9*m**x + 14/9*m**5 + 20/3*m**4 + 80/9*m**t = 0. What is m?
-1, -2/7
Let z(d) be the first derivative of 0*d + 3 + 1/5*d**4 - 2/15*d**3 - 1/5*d**2. Factor z(r).
2*r*(r - 1)*(2*r + 1)/5
Let h = 75 - 75. Find x, given that h*x**2 - 3/4*x + 0 + 3/4*x**3 = 0.
-1, 0, 1
Suppose 0*f - 4*f = 0. Suppose 25*s - 23*s = f. Solve 0*y + 1/3*y**5 + s - 1/3*y**4 - 1/3*y**3 + 1/3*y**2 = 0.
-1, 0, 1
Factor 1/3*z**3 + 0 + 48*z - 8*z**2.
z*(z - 12)**2/3
Suppose 138*p**3 + 3*p**5 - 123*p**3 - 9*p**4 - 3*p**4 - 6*p**2 = 0. What is p?
0, 1, 2
Solve 0 + 0*x - 1/2*x**3 - 1/2*x**4 + 1/2*x**2 + 1/2*x**5 = 0 for x.
-1, 0, 1
Let g(p) be the second derivative of p**5/110 - p**3/11 - 2*p**2/11 - 8*p. What is i in g(i) = 0?
-1, 2
Let l(r) be the third derivative of r**5/150 + r**4/5 + 12*r**3/5 - r**2. Factor l(q).
2*(q + 6)**2/5
Let x(o) be the first derivative of o**6/36 - 7*o**5/30 + 19*o**4/24 - 25*o**3/18 + 4*o**2/3 - 2*o/3 - 8. Factor x(f).
(f - 2)**2*(f - 1)**3/6
Let j = -8 + 58/7. Let i be ((-11)/(-231))/((-1)/(-6)). What is v in 0*v + i - j*v**2 = 0?
-1, 1
Solve 0 - 9/5*x**3 + 3/5*x**5 + 6/5*x**2 + 0*x**4 + 0*x = 0 for x.
-2, 0, 1
Factor -9/2 + 3/2*p**2 + 3*p.
3*(p - 1)*(p + 3)/2
Suppose c - 12 = -3*c. Let c*b + 6*b**4 + 2*b**3 - 5*b - 5*b**2 - b**2 = 0. What is b?
-1, -1/3, 0, 1
Let d = 4102/3 - 1366. Factor -d*t**2 + 0 + 1/3*t.
-t*(4*t - 1)/3
Let w = -3267456/143 - -301140/13. Determine q so that 16/11 - 408/11*q - 9826/11*q**3 + w*q**2 = 0.
2/17
Let o be (20/(-16) - 0)*-4. Let c(i) be the second derivative of -i - 1/8*i**2 - 1/120*i**6 - 1/8*i**4 + 1/20*i**o + 0 + 1/6*i**3. Factor c(y).
-(y - 1)**4/4
Let q(r) = -4*r + 5. Let h be q(4). Let c = -7 - h. Factor -10*u**2 + u**3 + u**c + 10*u**2.
u**3*(u + 1)
Let l be 1/(3 - 8/3). Suppose 7 = l*n - 2. Factor -w**3 - 24*w**2 + 4 - 2*w**n + 6*w + 17*w**3.
2*(w - 1)**2*(7*w + 2)
Let h(q) be the third derivative of -1/420*q**7 - 1/12*q**4 - 1/48*q**6 + 0*q**3 + 0*q - 1/15*q**5 + 3*q**2 + 0. Solve h(m) = 0 for m.
-2, -1, 0
Let s = -9 - -12. Determine q, given that -38*q**3 - 3 - 27*q + 32*q**3 - 42*q**s - 72*q**2 = 0.
-1, -1/4
Let n(h) be the second derivative of -7*h**4/12 + h**3 + h**2/2 - 2*h. Let r(j) = -6*j**2 + 6*j. Let t(d) = 3*n(d) - 4*r(d). Determine x, given that t(x) = 0.
1
Suppose 0 = -t - 2 + 3. Let v be (6 + -6)*(t + -2). Suppose 0*d**2 + 1/2*d**3 + 1/2*d**4 + 0 + v*d = 0. Calculate d.
-1, 0
Let l be (-9)/2*22/(-33). Find q such that -2 - l*q**2 - 6*q**3 - 2*q**4 + q**2 + 3*q + 3*q**5 + 6*q**2 = 0.
-1, 2/3, 1
Let h(t) = -t**2 + 5*t. Let x = 6 + -1. Let u be h(x). Let -2/7*m**2 + 0*m + u = 0. What is m?
0
Let a(t) = t + 12. Let g be a(-8). Let f be (0 + 6)/(18/g). Factor f + 8/3*x + 5/3*x**2 + 1/3*x**3.
(x + 1)*(x + 2)**2/3
Factor 0 - 2*b**2 - 2/9*b**4 + 8/9*b + 4/3*b**3.
-2*b*(b - 4)*(b - 1)**2/9
Solve 0 + 111*t**4 + 21*t**5 - 4 + 9 + 219*t**3 + 7 + 84*t + 201*t**2 = 0.
-2, -1, -2/7
Suppose 8*b**2 - 16*b + 14 - 17*b**2 + 5*b**2 + 6*b**2 = 0. What is b?
1, 7
Let o(i) be the third derivative of -i**7/2520 + i**6/360 - i**5/120 - i**4/12 + 2*i**2. Let q(a) be the second derivative of o(a). Factor q(w).
-(w - 1)**2
Let j be 43/78 + (-185)/(-222). What is r in -j - 2/13*r**2 - 12/13*r = 0?
-3
Let v(l) be the first derivative of -l**8/5040 + l**6/540 - l**4/72 - l**3/3 - 3. Let w(p) be the third derivative of v(p). Find m such that w(m) = 0.
-1, 1
Let l(z) be the second derivative of z**8/336 - z**6/120 + 2*z**2 + 6*z. Let j(m) be the first derivative of l(m). Find r, given that j(r) = 0.
-1, 0, 1
Suppose 0*b**2 - 23 + 20 + 6*b - 3*b**2 = 0. Calculate b.
1
Let a be 10*(0 - (0 + 1)). Let w be (-21)/a - 6/10. Let -w*y**2 - 3/2*y - 1/2 - 1/2*y**3 = 0. What is y?
-1
Let i = -69543 + 2086063/30. Let d = -32/5 - i. Factor 1/6 + 4/3*b**2 - d*b + 8/3*b**3.
(b + 1)*(4*b - 1)**2/6
Let f(a) be the first derivative of -a**5/25 + 3*a**4/20 - a**3/15 - 3*a**2/10 + 2*a/5 - 66. Solve f(x) = 0 for x.
-1, 1, 2
Let y(j) be the first derivative of j**7/280 - 3*j**5/40 + j**4/4 - 2*j**3/3 + 3. Let b(x) be 