2, 7
Suppose -236 = -19*o - 85*o - 14*o. Factor 4/11*n**o + 0 + 0*n**3 - 2/11*n**5 + 2/11*n - 4/11*n**4.
-2*n*(n - 1)*(n + 1)**3/11
Let i(l) = l**3 - 5*l**2 - 6*l + 4. Let c be i(6). Let a be -11 + ((-206)/(-20))/((-1863)/(-2070)). Solve 2/9*s**2 + 2/3*s + 2/9*s**c - a - 2/3*s**3 = 0 for s.
-1, 1, 2
Factor 1/8*o**3 - 10 - 159/8*o - 39/4*o**2.
(o - 80)*(o + 1)**2/8
Let -1239*r + 0 + 3/4*r**2 = 0. Calculate r.
0, 1652
Suppose -74*a + 27774 = -17810. Let o = a - 614. Solve -27/4*p**o + 75/4*p + 9/2 = 0 for p.
-2/9, 3
Let u(i) be the third derivative of i**6/24 - 66*i**5 + 43560*i**4 - 15333120*i**3 - 4*i**2 + 26. Factor u(w).
5*(w - 264)**3
Let c(y) be the first derivative of 2*y**5/95 + 23*y**4/38 + 86*y**3/19 - 23*y**2/19 - 260*y/19 + 5852. Find b, given that c(b) = 0.
-13, -10, -1, 1
Let l = -42589/92 - -10653/23. Factor -15/2*y**3 - l*y**5 - 6*y + 11*y**2 + 9/4*y**4 + 0.
-y*(y - 3)*(y - 2)**3/4
Let s(y) = -y**2 - 9*y - 6. Let h be s(-8). Suppose -d + 2*f = -15, -h*f = -0*f + 10. Solve 2*i**3 - d*i**3 + 11*i**2 + i**3 - 5*i**2 = 0 for i.
0, 3
Let p(b) be the first derivative of b**7/280 - 5*b**6/24 + 11*b**5/5 - 21*b**4/2 - 7*b**3/3 - b - 122. Let g(a) be the third derivative of p(a). Factor g(i).
3*(i - 21)*(i - 2)**2
Suppose 5*y - 8*y = -18. Let z be (-94)/(-6) - y/9. Let -10*v**2 - 5*v + z*v - 10*v**2 - 5*v**3 + 15*v = 0. Calculate v.
-5, 0, 1
Suppose 8*i - 39 = 5*i. Let s be i/65 + 1/(10/28). Suppose -16*a**4 + 30*a**4 + 3*a**2 + 3*a**s + a + 0*a - 13*a**4 = 0. Calculate a.
-1, 0
Suppose -50*y = -51*y + 20. Solve -13 + y*z - 2*z**2 + 7*z**2 + 28 = 0 for z.
-3, -1
Let f = 929 - -280. Let x = -1206 + f. Find l such that -2/3*l**2 + 0 - 8/3*l**x + 2/3*l**4 + 8/3*l = 0.
-1, 0, 1, 4
Let g(c) be the first derivative of 40/3*c - 22/3*c**2 + 14/9*c**3 - 94 - 1/12*c**4. Suppose g(h) = 0. Calculate h.
2, 10
Suppose 0 = 26*w - 3*a - 89, 9 = -3*w + 4*a + 1. Let 10/3*o**3 + 8/3*o**w + 0 - 158/3*o**2 - 40/3*o = 0. Calculate o.
-5, -1/4, 0, 4
Suppose 2/9*x**2 + 0 - 610/9*x = 0. Calculate x.
0, 305
Let o = -7453 + 7456. Let u(d) be the second derivative of -5/2*d**5 + 0 - 21*d + 0*d**2 + 4/3*d**o + 3/5*d**6 + 2*d**4. Factor u(m).
2*m*(m - 2)*(m - 1)*(9*m + 2)
Factor b**3 - 7*b**2 + 35*b + 11*b**2 - 5*b + 14*b**2 + 35*b.
b*(b + 5)*(b + 13)
Suppose 19 = -s + 7 + 16. Let w(a) be the third derivative of -1/1020*a**6 + 18*a**2 - 49/17*a**s + 0 - 7/85*a**5 + 0*a - 2744/51*a**3. Factor w(k).
-2*(k + 14)**3/17
Let -38*y**2 + y**3 - 8 + 2*y**4 - 13*y**3 - 328*y**5 + 2 - 6 + 329*y**5 - 37*y = 0. What is y?
-3, -1, 4
Let k(z) be the third derivative of -z**8/784 - 4*z**7/245 + 4*z**5/5 + 34*z**4/7 + 96*z**3/7 + 19*z**2 + 33*z. Find j, given that k(j) = 0.
-6, -2, 4
Let u(n) be the third derivative of 13/6*n**3 + 1/40*n**5 + 0*n + 1/360*n**6 + 1/12*n**4 + 0 + 14*n**2. Let l(g) be the first derivative of u(g). Factor l(b).
(b + 1)*(b + 2)
Let n(v) be the first derivative of -v**6/24 + 3513*v**5/20 - 1545279*v**4/8 + 4625303*v**3/6 - 9243585*v**2/8 + 3080025*v/4 + 2129. Factor n(i).
-(i - 1755)**2*(i - 1)**3/4
Let m(g) be the second derivative of 15*g**2 + 20*g + 1/50*g**5 - 3 + 11/3*g**3 + 13/30*g**4. Find u such that m(u) = 0.
-5, -3
Let w(x) = 8*x**4 + 134*x**3 + 298*x**2 + 208*x - 78. Let a(m) = -m**4 + m**3 - 17. Let f(q) = 6*a(q) - w(q). Suppose f(h) = 0. Calculate h.
-6, -2, -1, -1/7
Let j(r) be the first derivative of -r**6/180 + 13*r**5/30 - 169*r**4/12 - 25*r**3/3 - 3*r**2/2 - 149. Let m(z) be the third derivative of j(z). Factor m(v).
-2*(v - 13)**2
Let j be (-6)/9 - -1*1. Let w = -687526 + 687529. Factor i**2 - j*i**w + 0 - 2/3*i.
-i*(i - 2)*(i - 1)/3
Let z be ((-3)/(63/24))/((-104)/364). Let m(a) be the third derivative of -3/2*a**3 + 1/20*a**5 + 0 + 0*a - 19*a**2 - 1/4*a**z. Factor m(x).
3*(x - 3)*(x + 1)
Let a(o) be the second derivative of 33*o + 11/4*o**3 + 0 - 3/8*o**4 - 9/2*o**2 - 9/40*o**5 + 1/20*o**6. Factor a(z).
3*(z - 3)*(z - 1)**2*(z + 2)/2
Let h(g) be the first derivative of -g**7/28 - g**6/16 - 3*g**5/160 - 29*g - 117. Let s(n) be the first derivative of h(n). Factor s(y).
-3*y**3*(y + 1)*(4*y + 1)/8
Let t(a) be the second derivative of 3*a + 2 + 27/2*a**2 - 109/6*a**3 + 1/3*a**4. Factor t(s).
(s - 27)*(4*s - 1)
Suppose -143*w = -146*w + 12. Let c be w/9*45/10. Factor 1/2*l + 0*l**c - 1/6*l**3 + 1/3.
-(l - 2)*(l + 1)**2/6
Let c = -33 - -40. Let -10*f**3 - 6*f**2 + f + 5*f**5 + 11*f + 15 - 24*f**2 + 15*f**4 - c*f = 0. Calculate f.
-3, -1, 1
Let i(a) be the second derivative of -8*a**7/7 + 628*a**6/45 - 445*a**5/12 - 781*a**4/36 + 6*a**3 + 6*a**2 - 575*a. Let i(g) = 0. Calculate g.
-1/4, 2/9, 3, 6
Let h = 32 - 24. Suppose -h*p = -7*p - 4. Find z such that 10*z**2 + 2*z**5 + 2*z - 6*z**3 - 491*z**4 - 6*z + 489*z**p = 0.
-2, 0, 1
Suppose 3*z + 0*m = 2*m + 2, -3*m + 6 = 0. Factor -108*d + 74*d + 70*d + 3*d**z.
3*d*(d + 12)
Suppose 5*o + 2 = 5*f - 3, -o + 14 = 4*f. Suppose -2*u + 2 = -2. Factor 1 - o*s**2 + 3 - u.
-2*(s - 1)*(s + 1)
Let g(c) be the second derivative of -1/6*c**3 + 63*c + 1/6*c**4 - 1/20*c**6 + 0 + 1/20*c**5 - 1/4*c**2. Solve g(j) = 0 for j.
-1, -1/3, 1
Let m(a) = 7*a**2 - a - 28. Let t(f) = 3*f**2 + f. Let g(x) = -m(x) + 2*t(x). Let y be g(-4). Let 0*c + 0*c**2 + 2/5*c**3 + y + c**4 = 0. Calculate c.
-2/5, 0
Let b(m) be the first derivative of m**6/36 + 2*m**5/15 - 7*m**4/12 - 28*m**3/9 - 59*m**2/12 - 10*m/3 - 5265. Factor b(f).
(f - 4)*(f + 1)**3*(f + 5)/6
Let v(n) = n**2 - n + 8. Let t be v(5). Let o = t - 25. Solve g + g**3 - 2*g**5 + 3*g**4 - 3*g**4 + 3*g**4 - o*g**2 = 0 for g.
-1, 0, 1/2, 1
Let u = -77 - -109. Let i = u + -29. Factor -2*m + i*m**2 - 3*m**2 - m**2 - m**2.
-2*m*(m + 1)
Let o(s) be the third derivative of s**5/40 + 125*s**4/16 + 183*s**3/2 + 5*s**2 + 79*s + 2. Factor o(l).
3*(l + 3)*(l + 122)/2
Let j = 214 - 154. Solve 185 - j*n - 185 - 4*n**3 - 32*n**2 = 0 for n.
-5, -3, 0
Suppose 7*f = 3*f + 3*n + 68, -3*f + 52 = -2*n. Factor 17 - 349*s**3 + 5*s + 354*s**3 + 13 - f*s**2.
5*(s - 3)*(s - 2)*(s + 1)
Let t(q) = q**3 - 19*q**2 + 80*q - 140. Let p be t(14). Factor 0*r**2 + 1/3*r**3 - 1/3*r + p.
r*(r - 1)*(r + 1)/3
Let z = 19069/15252 - 1/3813. Let q(r) be the first derivative of 0*r**2 - 9 + z*r**4 - 5/3*r**3 + 0*r. Suppose q(l) = 0. What is l?
0, 1
Let 0 + 2/9*o**4 - 20/9*o**2 - 16/9*o - 2/9*o**3 = 0. What is o?
-2, -1, 0, 4
Let z be ((-400)/(-30) - -12)/((-2)/(-6)). Suppose 76 = 7*n + z. Factor 1/5*h**4 + 0*h + 2/5*h**3 + n + 1/5*h**2.
h**2*(h + 1)**2/5
Let p(i) = -2*i**5 + 16*i**4 - 30*i**3 + 8*i**2. Let o(s) = -s**5 + 5*s**4 - 10*s**3 + 3*s**2. Let j(f) = -8*o(f) + 3*p(f). Factor j(u).
2*u**3*(u - 1)*(u + 5)
What is m in 662548/7*m**2 + 300304/7 - 896528/7*m + 36/7*m**4 + 9816/7*m**3 = 0?
-137, 2/3
Let 0 - 3/7*m**3 - 84*m**2 - 4116*m = 0. What is m?
-98, 0
Let s = -1/28127 + 56259/140635. Let l(c) be the first derivative of s*c + 1/15*c**3 + 45 - 3/10*c**2. Suppose l(d) = 0. Calculate d.
1, 2
Let c(h) be the third derivative of 0*h + 5/21*h**4 + 1 + 1/35*h**5 + 0*h**3 - 12*h**2 - 1/210*h**6. Let c(m) = 0. What is m?
-2, 0, 5
Let f(r) be the second derivative of 2*r**7/63 + 76*r**6/45 + 104*r**5/3 + 2800*r**4/9 + 4000*r**3/9 - 40000*r**2/3 - 824*r. Solve f(d) = 0.
-10, 2
Let o(u) be the third derivative of 5/8*u**4 + 0*u + 1/24*u**6 + 5/12*u**5 + 34*u**2 - 15/2*u**3 - 2. Factor o(b).
5*(b - 1)*(b + 3)**2
What is o in -63/5*o**2 - 12/5 - 6/5*o**4 - 48/5*o - 33/5*o**3 = 0?
-2, -1, -1/2
Factor -2858*y + 5*y**3 + 5663*y - 2890*y - 80*y**2.
5*y*(y - 17)*(y + 1)
Let t = 274687 - 7692049/28. Let v = -99/4 - t. Find y, given that 6/7*y**2 + 36/7 - v*y = 0.
2, 3
Let n = -3209/7 + 3212/7. Let m be 4/2 - (1 + -1). What is j in -4/7*j + n + 1/7*j**m = 0?
1, 3
Find z, given that -113884*z**4 - 113892*z**4 + 227771*z**4 + 1050*z**2 + 5*z**3 = 0.
-14, 0, 15
Let n(h) be the second derivative of h**7/3780 - h**6/810 - h**5/36 + h**4/3 - 91*h**3/6 - 74*h. Let r(y) be the second derivative of n(y). Factor r(x).
2*(x - 3)**2*(x + 4)/9
Find w, given that 31/2*w**2 - 6*w - 74 = 0.
-2, 74/31
Let z(u) be the second derivative of u - 1/42*u**4 + 60 - 2*u**3 - 63*u**2. Factor z(g).
-2*(g + 21)**2/7
Let c(i) be the first derivative of 4*i**3/3 + 18*i**2 - 144*i - 598. Factor c(o).
4*(o - 3)*(o + 12)
Let i(v) be the second derivative of