) + m). Suppose -1/4 - 1/2*g**3 + 1/4*g**4 + 0*g**2 + r*g = 0. What is g?
-1, 1
Let l(r) be the first derivative of -r**5/20 - 3*r**4/16 - r**3/4 - r**2/8 + 8. What is q in l(q) = 0?
-1, 0
Let h be 0*5/(-20)*-4. Factor 4/7*k**3 + h + 0*k - 2/7*k**4 - 2/7*k**2.
-2*k**2*(k - 1)**2/7
Let w(g) be the second derivative of -g**4/4 + 3*g**3 - 27*g**2/2 - 4*g. Factor w(x).
-3*(x - 3)**2
Determine q, given that -2*q - 3*q**3 - q**3 + 2*q**3 - 5*q**4 + 10*q**3 - q**2 = 0.
-2/5, 0, 1
Let y(c) = -c**2 - 7*c + 10. Let n be y(-8). Solve -2*t**2 - 2*t - 2*t**2 + 4*t - 3*t**n = 0.
0, 2/7
Suppose -2 = 5*b - 2. Let y(x) be the first derivative of 3/8*x**4 + b*x + 1 + 1/6*x**3 - 1/2*x**2. Factor y(c).
c*(c + 1)*(3*c - 2)/2
Let i(f) be the second derivative of 1/1800*f**6 - 1/3*f**3 - f + 1/120*f**4 + 0*f**2 - 1/300*f**5 + 0. Let m(h) be the second derivative of i(h). Factor m(r).
(r - 1)**2/5
Let y(m) be the third derivative of m**6/60 - m**5/30 - m**4/6 - 3*m**2. Determine h so that y(h) = 0.
-1, 0, 2
Let g be (-174)/(-116)*(-1)/(-3). Determine s so that 9/2*s + g*s**3 - 3*s**2 + 0 = 0.
0, 3
Let o(v) be the third derivative of 2*v**7/105 - 2*v**5/15 + 2*v**3/3 - 6*v**2. Factor o(q).
4*(q - 1)**2*(q + 1)**2
Suppose 0*a - 12 = -2*a. Let m = 10 - a. Determine b so that -5*b**3 - 8*b**2 + 3*b**m + 6*b**5 - 2*b + b**3 + 5*b**4 = 0.
-1, -1/3, 0, 1
Factor 10/9*l + 0 - 2/9*l**2.
-2*l*(l - 5)/9
Let n be 24/28*196/400. Let l = 2/25 + n. Factor 0*o**2 + 0 - l*o**3 + 1/2*o.
-o*(o - 1)*(o + 1)/2
Let z(u) be the third derivative of u**5/390 - u**3/39 + 32*u**2. Let z(n) = 0. What is n?
-1, 1
Let j(w) be the second derivative of 0 - 1/54*w**4 + 2/9*w**2 + w + 1/27*w**3. Find s such that j(s) = 0.
-1, 2
Suppose -3*s = -7*s - 80. Let l = s - -146/7. Factor -6/7*v**3 - 2/7*v + 2/7*v**4 + l*v**2 + 0.
2*v*(v - 1)**3/7
Let h(u) = -u. Let s be h(-3). Suppose -6*v + 3*v = 4*a + 20, -v + 3*a + 15 = 0. Factor 0 - 6/5*j**4 - 2/5*j**2 + 2/5*j**5 + 6/5*j**s + v*j.
2*j**2*(j - 1)**3/5
Let i(h) be the second derivative of h**6/540 - h**5/45 + h**4/9 + 7*h**3/6 + 6*h. Let g(u) be the second derivative of i(u). Suppose g(t) = 0. What is t?
2
Let t(k) be the third derivative of -3*k**7/560 - 7*k**6/320 - k**5/30 - k**4/48 - 37*k**2. Factor t(x).
-x*(x + 1)*(3*x + 2)**2/8
Solve -4/11*j**2 + 4/11 - 6/11*j = 0.
-2, 1/2
Let i(r) be the third derivative of r**7/70 + 3*r**6/40 + r**5/10 - r**2 - 14. Determine l, given that i(l) = 0.
-2, -1, 0
Factor 2/3*v**4 + 2 + 4/3*v**3 - 4/3*v - 8/3*v**2.
2*(v - 1)**2*(v + 1)*(v + 3)/3
Let g be (8 - -4) + 3 + 0. Suppose 5*l = 2*s + 2*s - 15, -2*s - 5*l = g. Solve s - 2/3*v**3 - 2/3*v + 4/3*v**2 = 0 for v.
0, 1
Let x(j) = j**3 - 7*j**2 + 6*j. Let m be x(6). Suppose b**2 + 0*b**2 + m + 2*b + 0 = 0. Calculate b.
-2, 0
Suppose 7*k - 4*k + 4 = -2*q, -k - 16 = -3*q. Suppose -4*r - 8 = q*a, 4*a + 4*r + 11 = a. Solve 1/2*z**a + 0*z + 0 - 1/4*z**2 = 0 for z.
0, 1/2
Let i(n) be the first derivative of -n**5/20 - 4*n + 2. Let z(s) be the first derivative of i(s). Suppose z(c) = 0. Calculate c.
0
Let l = 135 + -133. Let q(h) be the second derivative of 0 - 1/4*h**3 - 1/24*h**4 - 1/2*h**2 + l*h. Factor q(o).
-(o + 1)*(o + 2)/2
Suppose 15 = 5*m + 5*s, m = -2*m + 4*s - 12. Suppose 0 = -5*p - 4*r + 14, -p - 4*r + 2 + 4 = m. Factor -3*w + 6*w**2 + p - 2*w - 2*w**3 - w.
-2*(w - 1)**3
Suppose -m + 17*p = 21*p + 4, -2 = m + 2*p. Find k, given that 2/7*k**4 + m + 2/7*k - 2/7*k**2 - 2/7*k**3 = 0.
-1, 0, 1
Let z(l) be the first derivative of 1/5*l + 3 - 3/10*l**2 + 2/15*l**3. Factor z(y).
(y - 1)*(2*y - 1)/5
Let f(u) be the third derivative of -4*u**2 - 1/39*u**3 + 0*u + 1/780*u**6 - 1/156*u**4 + 1/390*u**5 + 0. Determine k so that f(k) = 0.
-1, 1
Let n(s) be the first derivative of -2*s**6/27 - 8*s**5/45 + s**4/3 + 16*s**3/27 - 8*s**2/9 - 11. Factor n(r).
-4*r*(r - 1)**2*(r + 2)**2/9
Let k be 0 - (9/(-3))/6*0. Let a(t) be the third derivative of 1/6*t**4 + 0*t + 1/30*t**5 + k + 3*t**2 + 0*t**3. Factor a(i).
2*i*(i + 2)
Let i(w) be the first derivative of -w**4/20 - w**3/15 + 4. Solve i(c) = 0 for c.
-1, 0
Let t(j) = 7*j**3 + 2*j**2 + 6. Let l(i) = -i. Let g be l(-2). Let f(h) = 11 + 2*h**g + 0*h**2 + 2*h**2 + 13*h**3. Let o(z) = 6*f(z) - 11*t(z). Factor o(s).
s**2*(s + 2)
Let a(j) be the second derivative of j**4/30 + j**3/5 + 6*j. Determine q, given that a(q) = 0.
-3, 0
Let m = 2498 + -1573. Let u = m - 4601/5. Find i, given that -u*i - 2/5*i**3 + 16/5 + 12/5*i**2 = 0.
2
Let n be (3 + (-6)/3)/1. Let t(g) = -g**2 + 6*g + 7. Let q(r) = r + 1. Let z(h) = n*t(h) - 5*q(h). Factor z(i).
-(i - 2)*(i + 1)
Determine f so that 0*f**2 + 0 + 2/9*f**3 - 2/9*f**5 + 0*f + 0*f**4 = 0.
-1, 0, 1
Let s(u) be the second derivative of u**5/20 + u**3/6 + u**2/2 + 9*u. Let n(g) = 5*g**3 + 2*g**2 + 5*g + 4. Let p(v) = 3*n(v) - 12*s(v). Factor p(m).
3*m*(m + 1)**2
Let p(a) = -37*a**3 + a**2. Let k(f) = -258*f**3 + 6*f**2. Let b(v) = 4*k(v) - 27*p(v). Determine m, given that b(m) = 0.
-1/11, 0
Let z = 128 + -128. Factor -4/5*n - 9/5*n**5 + 4*n**2 - 37/5*n**3 + z + 6*n**4.
-n*(n - 1)**2*(3*n - 2)**2/5
Let l(w) be the third derivative of -w**7/1050 - w**6/300 - 6*w**2. Find j, given that l(j) = 0.
-2, 0
Suppose 0*x + 20 = -2*x. Let h be -1 - (-3 + x/(-8)). Factor 1/4 + 1/2*s - h*s**2.
-(s - 1)*(3*s + 1)/4
Let h(q) = q**3 + 2*q**2 + 2. Let b be h(-2). Suppose 6*l - w + b = 3*l, -3*l = -4*w + 17. Factor -4*a**2 + 2*a**3 + 3 - 1 - 2*a + 3 - l.
2*(a - 2)*(a - 1)*(a + 1)
Let t be 6/(-27)*-3*30. Suppose 4*k - t = -k. Factor k*g**2 - 2*g**3 - 4*g**2.
-2*g**3
Let p(y) be the second derivative of 2/5*y**4 + 0*y**2 + 2*y + 1/105*y**7 + 0 + 13/50*y**5 + 2/25*y**6 + 4/15*y**3. Factor p(i).
2*i*(i + 1)**2*(i + 2)**2/5
Let u(f) be the third derivative of -f**8/1512 - f**7/189 - f**6/90 + 2*f**5/135 + 2*f**4/27 - 4*f**2. Factor u(h).
-2*h*(h - 1)*(h + 2)**3/9
Let p(h) be the first derivative of 3/4*h + 6 + 21/8*h**2 + 27/16*h**4 + 15/4*h**3. Factor p(m).
3*(m + 1)*(3*m + 1)**2/4
Let t be (-293)/462 + 8/44. Let n = 3/14 - t. Factor 2/9*z**3 + n*z**2 + 2/3*z + 2/9.
2*(z + 1)**3/9
Suppose -4 = -29*u + 54. Solve -8/9*n**u + 2/9 + 2/3*n = 0 for n.
-1/4, 1
Suppose -26/7*c**2 - 4/7 - 22/7*c - 8/7*c**3 = 0. Calculate c.
-2, -1, -1/4
Find q, given that 21/4*q**3 - 15/4*q**4 - 6*q + 3/4*q**2 + 3 + 3/4*q**5 = 0.
-1, 1, 2
Let q(b) be the first derivative of b**6/2 + 9*b**5/5 + 3*b**4/4 - 3*b**3 - 3*b**2 + 13. Factor q(p).
3*p*(p - 1)*(p + 1)**2*(p + 2)
Let u(i) be the third derivative of 1/35*i**5 - 1/105*i**6 + 1/21*i**3 + 0 + 4*i**2 - 8/735*i**7 + 0*i + 5/84*i**4. What is l in u(l) = 0?
-1/2, 1
Let o(h) be the second derivative of -4*h + 1/45*h**6 - 1/18*h**4 + 0 - 1/9*h**3 + 1/30*h**5 + 0*h**2. Factor o(b).
2*b*(b - 1)*(b + 1)**2/3
Let f(t) = -13*t**3 - t**2 + t - 10. Let v(h) = -7*h**3 - 5. Let x(i) = 6*f(i) - 11*v(i). Let n be x(-7). Factor -1/2 - 1/4*b**n - 3/4*b.
-(b + 1)*(b + 2)/4
Let g(z) be the first derivative of -3 + 0*z**2 - 2*z + 2/3*z**3. Factor g(f).
2*(f - 1)*(f + 1)
Let q(g) = 3*g - 11. Let j be q(4). Let o(u) be the first derivative of -2*u**2 + u**4 - 2/5*u**5 + 0*u**3 + 2*u + j. Factor o(k).
-2*(k - 1)**3*(k + 1)
Let x(r) = -2*r + 4. Let b be x(-3). Suppose 3*o - 2*g - 95 = 0, 0*o + o - b = 5*g. Solve -1 + 6*k**2 + 3 + 30*k**2 + 12*k**4 + 15*k + o*k**3 = 0.
-1, -2/3, -1/4
Let s(q) = -q**4 - q**3 - q**2 + q + 1. Let z(m) = -5*m**4 - m**3 - 6*m**2 + 4*m + 4. Let r(k) = 4*s(k) - z(k). Determine c so that r(c) = 0.
0, 1, 2
Let t(w) be the third derivative of 2*w**7/525 - w**6/150 - w**5/75 + w**4/30 + 11*w**2. Find b, given that t(b) = 0.
-1, 0, 1
Let q = 18 + -15. Let g(s) be the first derivative of 2/3*s**q - 2/5*s**5 + 1 - 1/8*s**4 + 0*s + 1/4*s**2. Factor g(o).
-o*(o - 1)*(o + 1)*(4*o + 1)/2
Let w = -5 - -14. Solve 9 - 7*z**4 - 6 - 2*z**2 - 3 + w*z**3 = 0 for z.
0, 2/7, 1
Let p(c) be the second derivative of c**9/1890 - c**8/1680 - c**7/630 - c**4/2 + 10*c. Let o(w) be the third derivative of p(w). Factor o(z).
4*z**2*(z - 1)*(2*z + 1)
Let d(m) be the second derivative of -5*m**4/3 + 35*m**3/6 - 15*m**2/2 - 7*m. Factor d(w).
-5*(w - 1)*(4*w - 3)
Let u(v) be the third derivative of -v**6/240 - v**5/120 + v**4/48 + v**3/12 + v**2. Suppose u(c) = 0. What is c?
-1, 1
Let y(d) = 7*d**3 - 3*d - 4. Let f(s) = -6*s**3 