13*q - 39*q + v*q + 6 - q**2 = 0.
-2, 3
Let j(s) be the second derivative of s**7/840 - s**5/120 - 7*s**3/3 + 4*s. Let x(w) be the second derivative of j(w). Factor x(p).
p*(p - 1)*(p + 1)
Determine o so that -6/5*o**2 - 18/5*o + 2*o**3 - 2/5*o**4 + 0 = 0.
-1, 0, 3
Let a(t) = t + 13. Let i(f) = -f**2 - f + 4. Let o be i(-4). Let g be a(o). Determine s so that 7 - 12*s + s**2 + g*s**2 - 3*s**2 + 2 = 0.
1, 3
Let a(n) = -n**2 - 3*n + 30. Let t be a(-15). Let c = -1648/11 - t. Find o such that 0 + c*o - 8/11*o**2 + 10/11*o**3 - 4/11*o**4 = 0.
0, 1/2, 1
Suppose -12*c = -13*c. Let h(q) be the second derivative of 0 - 1/18*q**3 - 2*q + c*q**2 + 1/60*q**5 + 0*q**4. Let h(g) = 0. Calculate g.
-1, 0, 1
Factor 3/7*r**5 + 90/7*r**3 - 405/7*r + 486/7 + 0*r**2 - 30/7*r**4.
3*(r - 3)**4*(r + 2)/7
Let j(l) be the third derivative of 3/80*l**5 + 1/8*l**3 - 1/32*l**6 + 5/32*l**4 + 23*l**2 - 1/70*l**7 + 0*l + 0. Solve j(q) = 0 for q.
-1, -1/4, 1
Let w = -26150/9 + 2906. Factor -w - 2/9*v**2 - 2/3*v.
-2*(v + 1)*(v + 2)/9
Suppose -2*r + j - 53 = -14, -2*j + 36 = -2*r. Let p = r - -23. Solve c**4 + 5 + 4 - 9 - c**p = 0 for c.
-1, 0, 1
Suppose -5*z - 2 = 23. Let w(d) = -8*d**2 + 5*d + 8. Let v(m) = -44*m**2 + 28*m + 44. Let l(b) = z*v(b) + 28*w(b). What is a in l(a) = 0?
-1, 1
Suppose -5*b = -3*p + 17, 0 = 5*p + 2*b + 6 - 24. Let t be p/(-7) + (-374)/(-385). Factor -t*u - 6/5*u**3 + 2/5*u**4 + 0 + 6/5*u**2.
2*u*(u - 1)**3/5
Suppose -5*s + 12 = b, -4*b = 5*s - 7*b - 24. Find c, given that -40*c**5 - 6*c**4 - 52*c**2 + 44*c**s + 43*c**4 + 8 + 0 - 4*c + 7*c**4 = 0.
-1, -2/5, 1/2, 1
What is p in -4 - 3*p**2 - p + 22*p - 1 + 29 + 0 = 0?
-1, 8
Let w(u) be the third derivative of u**7/140 + u**6/120 - u**5/30 - u**4/24 + u**3/12 + 2*u**2 + 48. Suppose w(a) = 0. Calculate a.
-1, 1/3, 1
Let g(m) be the first derivative of m**6/12 + 4*m**5/5 - 7*m**4/4 - 8*m**3 - 27*m**2/4 + 100. Let g(v) = 0. What is v?
-9, -1, 0, 3
Let v(g) be the first derivative of 2*g**3/3 - 21*g**2 - 44*g - 48. Determine l so that v(l) = 0.
-1, 22
Let t(s) be the third derivative of s**7/210 + s**6/15 + 3*s**5/10 + 2*s**4/3 + 5*s**3/6 - 28*s**2 - 4*s. Factor t(r).
(r + 1)**3*(r + 5)
Suppose 8 = -5*j - 12. Let s be (-1)/j - (-55)/4. Factor 3*a - 45*a**3 - 3*a - 9*a**5 + 33*a**4 + 13*a**2 + s*a**2 - 6*a.
-3*a*(a - 1)**3*(3*a - 2)
Let l(s) = -s**2 - 7*s + 22. Let i be l(-9). Suppose -i*a = -2*a. Solve 1/7*r + 1/7*r**4 + a - 1/7*r**3 - 1/7*r**2 = 0 for r.
-1, 0, 1
Let j(l) be the first derivative of -l**7/9240 + l**6/440 - l**5/165 - 50*l**3/3 - 26. Let t(s) be the third derivative of j(s). Factor t(f).
-f*(f - 8)*(f - 1)/11
Let m(f) = -f**3 + f**2 + 1. Let d(q) = 5*q**4 + 30*q**3 + 15*q**2 - 5. Let h = 19 + -20. Let k(g) = h*d(g) - 5*m(g). Factor k(t).
-5*t**2*(t + 1)*(t + 4)
Let x(o) = 4*o**4 - o**3 - 9*o**2 + 5*o + 5. Let m(q) = 9*q**2 - 6*q - q**4 - 5*q**4 + 2*q**4 + q**4 - 6. Let n(c) = 2*m(c) + 3*x(c). Factor n(p).
3*(p - 1)**2*(p + 1)*(2*p + 1)
Let q = -16999 + 221003/13. Factor q*y + 2/13*y**2 - 18/13.
2*(y - 1)*(y + 9)/13
Let t(o) be the first derivative of 2/9*o**6 + 3*o**4 + 4/3*o**2 + 0*o - 28/9*o**3 - 4/3*o**5 - 10. Suppose t(q) = 0. Calculate q.
0, 1, 2
Let a(j) = 2*j**2 - 10*j - 4. Suppose -4*s = -18 + 2. Let l(g) = g**2 - g. Let h = -35 + 34. Let b(o) = h*a(o) + s*l(o). Determine w, given that b(w) = 0.
-2, -1
Let o(i) be the third derivative of -i**7/1050 + i**6/600 + i**5/50 + 81*i**2. Suppose o(n) = 0. What is n?
-2, 0, 3
Suppose -3*q + 6*q = -n + 37, 2*n - 83 = 3*q. Let m = n - 37. Factor 1/4 + 1/4*z - 1/4*z**m - 1/4*z**2.
-(z - 1)*(z + 1)**2/4
Let b(a) be the third derivative of -a**5/6 + 3*a**4 + 5*a**3/2 - 5*a**2. Let g(p) = -11*p**2 + 72*p + 15. Let y(v) = 4*b(v) - 5*g(v). Factor y(s).
3*(s - 5)*(5*s + 1)
Let f = 3/788 + 91/1970. Let l(h) be the third derivative of 0 + f*h**5 + 1/12*h**4 + 0*h**6 + 0*h + 0*h**3 - 12*h**2 - 1/210*h**7. Factor l(x).
-x*(x - 2)*(x + 1)**2
Let x(f) be the second derivative of -3*f**5/20 + 6*f**3 + 24*f**2 - 913*f. Find h, given that x(h) = 0.
-2, 4
Let t = -1137/7 + 5811/35. Determine s so that -t*s**2 - 3/5*s + 0 - 27/5*s**3 = 0.
-1/3, 0
Let z(x) be the second derivative of x**6/90 - x**5/12 - 2*x**4/3 + 10*x - 6. Solve z(w) = 0 for w.
-3, 0, 8
Let c = 21 - 18. Let t = 8 + -5. Factor 3*v**2 + 2*v**t - 6 + 6 + 2*v - v**c.
v*(v + 1)*(v + 2)
Factor 2/7*h**2 - 10 - 4/7*h.
2*(h - 7)*(h + 5)/7
Let w be ((-3)/9)/((-1)/(-6)). Let k be -6*(10/(-4) - w). Factor -r**4 + r**3 + 2*r**4 + r**k - 3*r**4.
-2*r**3*(r - 1)
Let g(t) = -6*t + 2*t - 4*t + 4*t + 27. Let j be g(6). Factor 0 + 1/5*k**5 + 0*k + 0*k**2 + 2/5*k**4 + 1/5*k**j.
k**3*(k + 1)**2/5
Let s(o) be the first derivative of -o**4/66 + 4*o**2/11 + 3*o - 15. Let x(l) be the first derivative of s(l). Factor x(h).
-2*(h - 2)*(h + 2)/11
Factor -3*g**4 + 12*g**3 + 457783*g**2 - 457810*g**2 + 14*g + 4*g**4.
g*(g - 1)**2*(g + 14)
Let h(u) = -4*u - 3. Let x be h(-3). Factor 11*k**4 + 55*k**3 - x*k**2 + 3*k - k - 2*k**4 - 57*k**3.
k*(k - 1)*(k + 1)*(9*k - 2)
Let w = -4 - -8. Let n(g) = -6*g**4 + 24*g**3 + 5*g**2 - 17*g**2 - 12*g - 38*g**3. Let f(v) = -v**4 - v**3 + v**2 - v. Let m(h) = w*f(h) - n(h). Solve m(j) = 0.
-2, -1, 0
Let c = -82879/4 - -20722. Solve -c*w**2 + 7/4*w - 1/4*w**4 - 1/2 + 5/4*w**3 = 0.
1, 2
Let a = 354 - 350. Let s(x) be the third derivative of 0 + 3/8*x**3 + 0*x + 5/48*x**5 - 4*x**2 - 5/16*x**a. Solve s(h) = 0.
3/5
Let x = -1095 + 615. Let r be 20/6*(-64)/x. Factor 8/9*k**2 + 2/9*k**3 + 10/9*k + r.
2*(k + 1)**2*(k + 2)/9
Let c(n) be the third derivative of -n**5/210 - 3*n**4/28 - 2*n**2 + 7. Let c(w) = 0. What is w?
-9, 0
Let v be 0/(-11) + (-4 - 24/(-4)). Let q(z) be the third derivative of 3/7*z**3 - 1/14*z**4 + v*z**2 + 0 + 1/210*z**5 + 0*z. Suppose q(o) = 0. What is o?
3
Suppose 86 = 5*c - 0*m - 2*m, -22 = -c + 2*m. Suppose -c - 10 = -13*p. Determine i so that 2/3*i**5 - 22/9*i**4 - 8/3*i + 8/9 + 14/9*i**p + 2*i**3 = 0.
-1, 2/3, 1, 2
Suppose 4*f = -34 + 106. Suppose 0 = -2*o + 4*j - 8, 4*j - 9 = 3*o - j. Factor -f + y**o + 8 + 9 + y**3 - y.
(y - 1)*(y + 1)**2
Let i(f) be the second derivative of f**5/150 + 7*f**4/30 + 104*f**3/45 - 410*f. Determine s so that i(s) = 0.
-13, -8, 0
Suppose 2/7*x**2 + 10/7*x**3 - 4/7*x + 0 + 4/7*x**4 = 0. What is x?
-2, -1, 0, 1/2
Factor 2/5*q**4 + 14/5*q**2 - 2*q**3 - 6/5*q + 0.
2*q*(q - 3)*(q - 1)**2/5
Let w(t) be the first derivative of -2*t**5/45 + 7*t**4/9 - 46*t**3/9 + 140*t**2/9 - 200*t/9 - 99. Suppose w(x) = 0. What is x?
2, 5
Let a(q) = 11*q - 50. Let r be a(8). Factor 8*v**2 + 4 + r*v + 41*v - 67*v.
4*(v + 1)*(2*v + 1)
Let h**4 + 1/3*h**3 - 1/3*h**5 + 0*h - h**2 + 0 = 0. What is h?
-1, 0, 1, 3
Find n such that 0 + 0*n - 2/5*n**5 + 8/5*n**4 - 2*n**3 + 4/5*n**2 = 0.
0, 1, 2
Let r(l) = l + 10. Let x be r(-4). Suppose 57*b - 51*b - x*b**2 + 3*b**2 = 0. What is b?
0, 2
Let l(c) = -5*c. Let a be l(0). Suppose a = 4*m + 8, 3*m = -2*v - 0 - 6. Factor -54/7*q**2 - 18/7*q**4 + v*q + 54/7*q**3 + 0 + 2/7*q**5.
2*q**2*(q - 3)**3/7
Suppose 0 = -10*d + 42 - 122. Let u be 1*d/2*8/(-64). Let 2*p**3 - u*p**5 - 1 + 0*p**4 - 3/2*p + p**2 = 0. Calculate p.
-1, 1, 2
Let j(x) be the first derivative of 5 + 0*x**2 - 1/6*x + 1/18*x**3. Factor j(g).
(g - 1)*(g + 1)/6
Suppose -4*h - 32 - 32 = 0. Let w = -5 - h. Solve -24*n - 41 + 7*n**2 - w*n**2 + 5 = 0.
-3
Let r(q) be the second derivative of q**5/60 - q**4/24 - 4*q**2 + 9*q. Let m(g) be the first derivative of r(g). Suppose m(n) = 0. Calculate n.
0, 1
What is w in -189/2 - 3/2*w**2 + 36*w = 0?
3, 21
Let b(j) be the first derivative of 9 + 3/28*j**4 - 24/7*j + 18/7*j**2 - 6/7*j**3. Suppose b(l) = 0. Calculate l.
2
Suppose 0 = -2*m - q - 4*q + 27, 0 = -2*q + 6. Let h be 10/m + 3/(-3). Factor 2/3*i**2 - h*i + 0.
2*i*(i - 1)/3
Let x(n) be the second derivative of -n**7/7980 + n**5/285 + 17*n**3/6 - 19*n. Let p(k) be the second derivative of x(k). Factor p(m).
-2*m*(m - 2)*(m + 2)/19
Let b(t) be the second derivative of t**4/4 + 7*t**3/2 - 27*t**2 - 37*t. Solve b(p) = 0 for p.
-9, 2
Find l, given that 46/7*l - 16/7 + 6/7*l**2 = 0.
-8, 1/3
Let j(h) be the first derivative of -2*h**3/27 - h**2/3 + 8*h/9 - 34. Factor j(k).
-2*(k - 1)*(k + 4)/9
Let r(g) be the first derivative of -g**5/15 - g**4/6 + 4*g**3/3 - 9*g**2/2 - 1. Let t(a