a**4 - 3*a. Let g(u) = -2*u**2 - 17*u + 7. Let i(s) = 24*g(s) - 5*v(s). Factor i(z).
-3*(z - 2)**2
Let o(m) be the first derivative of m**5/15 + m**4/3 - 2*m**3/9 - 2*m**2 + 3*m - 16. Factor o(s).
(s - 1)**2*(s + 3)**2/3
Let r = 29 - 29. Suppose r = 5*k - 8 - 7. Factor -6*q**2 + 3*q**5 + 2*q**k + 56 - 59 + 4*q**3 + 9*q**4 - 9*q.
3*(q - 1)*(q + 1)**4
What is j in 1083/8*j + 6859/8 + 1/8*j**3 + 57/8*j**2 = 0?
-19
Let l = 9618 + -19235/2. Factor -3*p**2 - 1/2 - 2*p - 2*p**3 - l*p**4.
-(p + 1)**4/2
Let i(u) = -8*u**4 - 39*u**3 - 144*u**2 - 143*u - 50. Let w(c) = -2*c**4 + c**3 + c. Let g(k) = i(k) - 5*w(k). What is j in g(j) = 0?
-1, 25
Let m be (-24)/(-8) + 7 + 1. Factor t**3 + 20*t**2 - m*t**3 - 5*t + 5*t**2 - 10.
-5*(t - 2)*(t - 1)*(2*t + 1)
Suppose -30 = -6*f + 24. What is n in -n - f - n**2 + 0*n + 9 = 0?
-1, 0
Let y(v) be the second derivative of v**4/12 - 17*v**3/6 + 8*v**2 + 147*v. Factor y(n).
(n - 16)*(n - 1)
Suppose 2/11 - 2/11*d**2 + 8/11*d**3 - 8/11*d = 0. What is d?
-1, 1/4, 1
Let a(s) = -s**3 + 35*s**2 - 161*s + 332. Let w be a(30). Factor 4/9*z**w + 64 - 32/3*z.
4*(z - 12)**2/9
Let n(g) be the second derivative of 3*g**8/1792 - g**7/168 + g**6/144 - g**4/12 + 3*g. Let d(m) be the third derivative of n(m). Factor d(j).
5*j*(3*j - 2)**2/4
Let l(o) be the second derivative of -o**5/100 + 19*o**4/60 - 32*o**3/15 + 6*o**2 - 2*o + 61. Factor l(k).
-(k - 15)*(k - 2)**2/5
Let o be 2*9 - (8 - 12). Let j = o - 18. Determine g so that 3*g**5 - 6*g**2 + 6*g**j - 2*g**3 + 0*g**3 - g**3 = 0.
-2, -1, 0, 1
Find d, given that -63 - 73*d**2 + d**3 + 88*d + 55*d - 45 + 37 = 0.
1, 71
Let q(m) = -m + 2. Let j be q(-8). Let r = -8 + j. Let 5 - 5 - c**r + 4*c**2 - 6*c = 0. What is c?
0, 2
Let z(p) = -7*p**3 - 45*p**2 + 105*p - 57. Let j(l) = -155*l**3 - 990*l**2 + 2310*l - 1255. Let a(c) = -2*j(c) + 45*z(c). Solve a(t) = 0 for t.
-11, 1
Let t = -160 + 199. Suppose 5*o - t = -8*o. Find j, given that 0*j**2 + 2/9*j**o + 0 - 2/9*j = 0.
-1, 0, 1
Let c(b) = -23*b**5 - 45*b**4 + 6*b**3 + 40*b**2 + 7*b - 7. Let k(p) = -p**5 - p**2 - 2*p - 1. Let y(g) = c(g) + 2*k(g). Determine m so that y(m) = 0.
-1, 3/5
Let x(o) be the third derivative of 0*o**3 + 0*o + 0*o**4 - 4*o**2 + 0 - 1/270*o**5 - 1/540*o**6. Factor x(f).
-2*f**2*(f + 1)/9
Let z(h) be the third derivative of 0*h**3 + 0*h - 4/75*h**5 - 8/1575*h**7 - 50*h**2 + 0 + 11/450*h**6 + 1/2520*h**8 + 1/20*h**4. Find p, given that z(p) = 0.
0, 1, 3
Let l(w) be the second derivative of -w**5/10 + 10*w**4/3 - 100*w**3/3 + 4*w + 13. Let l(f) = 0. What is f?
0, 10
Factor -2*z**3 + 0 - 8/5*z**4 - 2/5*z**2 + 0*z.
-2*z**2*(z + 1)*(4*z + 1)/5
Suppose -2*z - 372 = -376. Let y(g) be the first derivative of -g**3 - 3/2*g**z - 7 + 6*g. Find d, given that y(d) = 0.
-2, 1
Factor -12/5 - 2/5*y**2 - 2*y.
-2*(y + 2)*(y + 3)/5
Let g = 69 - 78. Let m be (3/2)/((-27)/g). Factor -m*p**4 + 0*p - 1/2*p**5 + 1/2*p**3 + 1/2*p**2 + 0.
-p**2*(p - 1)*(p + 1)**2/2
Let t(f) = f**3 + 2*f**2 + f. Let n(u) = -29*u**3 + 337*u**2 - 268*u + 52. Let d(p) = n(p) + 4*t(p). Factor d(a).
-(a - 13)*(5*a - 2)**2
Suppose 11*r = 7*r. Suppose 0 = -2*n - r + 6. Let -2 - 2 + n*q - 3*q**3 + 4 = 0. Calculate q.
-1, 0, 1
Let t(f) be the third derivative of f**6/120 - f**5/10 + f**4/8 + 5*f**3/3 - f**2 - 85*f. Factor t(s).
(s - 5)*(s - 2)*(s + 1)
What is u in 4/3*u + 1/3 + 2*u**2 + 4/3*u**3 + 1/3*u**4 = 0?
-1
Let c(u) = u + 4. Let q be c(4). Factor 4*f**3 + 0*f**4 + 2*f**5 - 12*f**3 + 2*f**4 + 0*f**4 - q*f**2.
2*f**2*(f - 2)*(f + 1)*(f + 2)
Suppose 22 = 13*c - 186. Suppose -9*m - 28 = -c*m. What is q in 0*q**m + 3/4*q**5 + 0 - 3/2*q**3 + 0*q**2 + 3/4*q = 0?
-1, 0, 1
Let w(y) be the second derivative of -7*y + 0 + 0*y**2 + 2/3*y**3 - 2*y**4 + 2/7*y**7 - 4/3*y**6 + 12/5*y**5. Factor w(s).
4*s*(s - 1)**3*(3*s - 1)
Let a(k) be the third derivative of -k**6/90 - 7*k**5/45 + k**4/18 + 14*k**3/9 + 10*k**2 + 29*k. Determine s, given that a(s) = 0.
-7, -1, 1
Let t(r) be the second derivative of r**5/24 - 95*r**4/72 + 185*r**3/18 - 70*r**2/3 + 398*r. Factor t(m).
5*(m - 14)*(m - 4)*(m - 1)/6
Find c, given that -9/10*c + 1/5 - 7/5*c**3 + 8/5*c**2 - 1/10*c**5 + 3/5*c**4 = 0.
1, 2
Let -2 - n + 3/2*n**2 - 1/4*n**4 + 1/4*n**3 = 0. Calculate n.
-2, -1, 2
Let w(d) = -2*d**3 - d**2 - 2*d - 12. Let x be w(-2). Factor 0*q + 0*q**3 + 0 - 1/2*q**2 + 1/2*q**x.
q**2*(q - 1)*(q + 1)/2
Suppose 7*y - 55 = 2*y. Let w = 34/3 - y. Solve 2/3 + u + w*u**2 = 0 for u.
-2, -1
Let m(u) = u**2 - u. Let i(p) = -p**2 - 15*p + 3. Let z(s) = -i(s) + 6*m(s). Let c(t) = 6*t**2 + 8*t - 2. Let r(v) = -5*c(v) + 4*z(v). Factor r(j).
-2*(j + 1)**2
Let x(k) be the third derivative of 2*k**7/735 - k**6/105 - k**5/35 + 257*k**2. Find y, given that x(y) = 0.
-1, 0, 3
Let d(j) be the second derivative of -j**7/840 - 23*j**6/720 - 7*j**5/60 - 3*j**4 - 43*j. Let y(n) be the third derivative of d(n). Factor y(o).
-(o + 7)*(3*o + 2)
Suppose 0 = 8*j + 21*j - 58. Factor -1/2*o**2 + j + 3/2*o.
-(o - 4)*(o + 1)/2
Let m(a) = a**4 + 40*a**3 + 56*a**2 - 164*a - 324. Let b(j) = j**4 + j**2 + j + 1. Let x(v) = 4*b(v) + m(v). Suppose x(p) = 0. Calculate p.
-4, -2, 2
Suppose -10 = -2*m - 3*z, 4*m - m - 2*z - 2 = 0. Factor 0*n + 3/5*n**m + 0 + 4/5*n**4 - 13/5*n**3.
n**2*(n - 3)*(4*n - 1)/5
Let l be (-7)/3*222/(-259). Let t(n) be the first derivative of -9 + 1/3*n**6 + 4*n - n**4 + n**l - 8/3*n**3 + 4/5*n**5. Determine d so that t(d) = 0.
-2, -1, 1
Let f(c) be the second derivative of c**6/40 + 3*c**5/80 - c**4/16 - c**3/8 - 7*c - 2. Factor f(n).
3*n*(n - 1)*(n + 1)**2/4
Let v(k) = 2*k**4 + 8*k**3 + 4*k**2 - 13*k - 6. Let f(g) = 3*g**4 + 12*g**3 + 6*g**2 - 20*g - 9. Let z(y) = -5*f(y) + 8*v(y). Factor z(a).
(a - 1)*(a + 1)**2*(a + 3)
Let g(c) = 8*c**2 + 20*c - 5. Let z(f) = f**2 + f - 1. Suppose 0 = 4*r - 2*o - 6 - 6, 2*r + 2 = -o. Let w(i) = r*g(i) - 5*z(i). Factor w(a).
3*a*(a + 5)
Let v(b) = 3*b**3 - 62*b**2 + 212*b - 190. Let k(u) = 21*u**3 - 435*u**2 + 1488*u - 1329. Let t(z) = -2*k(z) + 15*v(z). Find g, given that t(g) = 0.
2, 16
Let s be (-23)/(-4) - (-16)/64. Determine v so that 18*v + 0*v**2 - 3*v**2 - 101 + 128 + s*v**2 = 0.
-3
Let j = 1532 - 1529. Let b(n) be the second derivative of -5/3*n**j + 0 + 25/2*n**2 + 1/12*n**4 + 3*n. Suppose b(w) = 0. Calculate w.
5
Suppose 3*m + 29 = 38. Let p(v) = 5*v**2 + 13*v + 10. Let u(c) = -5*c**2 - 13*c - 9. Let d(i) = m*p(i) + 4*u(i). Factor d(s).
-(s + 2)*(5*s + 3)
Let r = 62 + -60. Factor 4*t**2 + 182*t**3 - r*t**5 + 2*t - 4*t**4 - 182*t**3.
-2*t*(t - 1)*(t + 1)**3
Let d(c) be the third derivative of -c**6/210 - 17*c**5/105 - 44*c**4/21 - 96*c**3/7 + 211*c**2 - c. Solve d(x) = 0.
-9, -4
Let a = 6460 - 6460. Find j, given that 0*j**2 + 2/7*j**3 + 8/7*j**4 + 0 + a*j + 6/7*j**5 = 0.
-1, -1/3, 0
Let z(i) be the first derivative of -i**7/42 + i**5/10 - i**3/6 + 20*i - 17. Let r(n) be the first derivative of z(n). Factor r(p).
-p*(p - 1)**2*(p + 1)**2
Let d = -560/39 + 191/13. Factor 0 - 1/6*v**2 + d*v.
-v*(v - 2)/6
Let q(k) be the second derivative of -k**4/18 + 44*k**3/9 - 484*k**2/3 - 11*k. Let q(r) = 0. Calculate r.
22
Let o be (-4 + 0)*(-3 + (-9)/(-4)). Let c = 56 - 30. Factor -c*v - 29*v + o*v**2 + 3 + 61*v.
3*(v + 1)**2
Suppose 8*w + 183 = 183. Suppose 5*p + 26 - 36 = w. Factor 27/4 - 3/4*d**3 - 45/4*d + 21/4*d**p.
-3*(d - 3)**2*(d - 1)/4
Solve -105/4*y - 5/4*y**2 + 0 = 0.
-21, 0
Let t(w) be the second derivative of -6*w + 0 + 0*w**5 + 1/420*w**6 + 5/2*w**2 - 1/84*w**4 + 0*w**3. Let q(a) be the first derivative of t(a). Factor q(j).
2*j*(j - 1)*(j + 1)/7
Let b(i) be the third derivative of -2*i**7/105 - i**6/10 + i**5 - 17*i**4/6 + 4*i**3 + 22*i**2 - 4. Factor b(s).
-4*(s - 1)**3*(s + 6)
Let r(b) be the second derivative of b**5/100 - 8*b**3/15 - 95*b. Let r(u) = 0. Calculate u.
-4, 0, 4
Let u(s) be the first derivative of s**8/560 + s**7/840 - s**6/72 - s**5/120 + s**4/12 + 4*s**3/3 + 8. Let c(m) be the third derivative of u(m). Factor c(r).
(r - 1)*(r + 1)**2*(3*r - 2)
Let s(t) = 2*t**2 + 529*t - 23763. Let q(i) = -9*i**2 - 2115*i + 95052. Let k(r) = -5*q(r) - 21*s(r). Solve k(c) = 0.
89
Let d(m) = -3*m - 35. Let k be d(-13). Let 2*r**3 + 16*r**2 + r**2 - k*r**2 - 5*r**2 = 0. Calculate r.
-4, 0
Let v be (18/(-15))/(4/(-10)). Factor -5*h**2 + 10*h**v + 2*h**2 - 5*h**4 - 2*h**2.
