 = b*o(u) - 7*g(u). Factor h(t).
-(t - 1)*(t + 2)
Factor -5*g**4 + 124*g**3 + 10*g + 19*g**4 - 18*g**2 + 4 - 134*g**3.
2*(g - 1)**2*(g + 1)*(7*g + 2)
Let c(r) = -3*r**3 - r - 74*r**3 + 54*r**4 + 29*r**2 - 13 + 8*r. Let x(i) = 27*i**4 - 39*i**3 + 15*i**2 + 3*i - 6. Let m(o) = 6*c(o) - 13*x(o). Factor m(f).
-3*f*(f - 1)*(3*f - 1)**2
Suppose 5*p - 8 = p. Factor -p*l**2 - 2 - 3*l + 5*l**2 - 4.
3*(l - 2)*(l + 1)
Let c = 1808/2457 - 110/189. Find w such that 10/13*w**4 - 18/13*w**3 - 4/13*w - c*w**5 + 0 + 14/13*w**2 = 0.
0, 1, 2
Find l, given that 2*l**3 - l**3 + 47*l**2 + 0*l**3 - 52*l**2 = 0.
0, 5
Suppose -4 - 6 = -5*f. Factor -8*s**f + 7*s**3 - 15*s**4 + 8*s**2 + 3*s**3 + 5*s**5.
5*s**3*(s - 2)*(s - 1)
Let r be (-16)/(-24) + (210/9 - 2). Factor -4*w - 12*w**4 + r*w**2 - 22*w**2 + 3*w**3 + 11*w**4.
-w*(w - 2)**2*(w + 1)
Let i(q) = -q**2 - 11*q + 28. Let p be i(-13). Solve -2 + 10*k**4 - 13*k**4 + 11 - 6*k - 18*k + 18*k**p = 0 for k.
-3, 1
Let o = 98 - 94. Factor 16 + 5*a**2 + a**2 - 5*a**2 - 3*a**2 - o*a.
-2*(a - 2)*(a + 4)
Let m(v) be the third derivative of -v**6/60 + v**5/10 + 13*v**4/12 - 5*v**3 + v**2 + 9*v. Factor m(c).
-2*(c - 5)*(c - 1)*(c + 3)
Let s(a) be the second derivative of -a**7/189 - 8*a**6/135 - 13*a**5/90 - a**4/9 + a + 58. Factor s(c).
-2*c**2*(c + 1)**2*(c + 6)/9
Let g(c) be the first derivative of -3/8*c**2 + 0*c - 3/16*c**4 + 14 - 1/2*c**3. Factor g(j).
-3*j*(j + 1)**2/4
Let v be 4*((-585)/(-20) - 4). Let h = v + -705/7. Factor 2/7*a**2 - 2/7*a**4 - 2/7*a**3 + h*a + 0.
-2*a*(a - 1)*(a + 1)**2/7
Let d be 54/15*100/(-15). Let b be 9*1*(-4)/d. Let 0 - 3/2*c + 3*c**2 - b*c**3 = 0. What is c?
0, 1
Let w = 577 + -240. Factor -4*r**2 + w*r - r**2 - 342*r.
-5*r*(r + 1)
Let b(i) be the second derivative of -5/78*i**4 + 0 + 14*i + 0*i**2 + 2/39*i**3. Find g such that b(g) = 0.
0, 2/5
Suppose 0 = -4*s - 4*c + 380, 2*s + 5*c - 175 = -0*s. Suppose 213*m**2 + 176*m + 28 + s*m**3 + 67*m**2 + 4 = 0. Calculate m.
-2, -2/5
Let y(a) be the third derivative of 0*a - 1/165*a**5 - 1/660*a**6 + 4*a**2 - 1/132*a**4 + 0 + 0*a**3. Suppose y(j) = 0. Calculate j.
-1, 0
Let g = 506/37 + -1913/148. Factor 1/4*a**3 + 0*a**2 - g*a + 1/2.
(a - 1)**2*(a + 2)/4
Factor -y**3 + 5*y**4 - 6*y**3 + 40*y - 6*y**3 - 20*y**2 - 6*y**3 + 9*y**3.
5*y*(y - 2)**2*(y + 2)
Let c(l) be the first derivative of l**5/30 - l**4/6 - l**3/9 + l**2 + 3*l/2 + 342. Factor c(g).
(g - 3)**2*(g + 1)**2/6
Let a(p) be the first derivative of -5*p**3/3 + 195*p**2/2 + 630*p - 604. Factor a(m).
-5*(m - 42)*(m + 3)
Let a(o) be the first derivative of -25*o**4 + 140*o**3/3 + 48*o**2 - 144*o + 381. Factor a(z).
-4*(z + 1)*(5*z - 6)**2
Let m = 349 - 691. Let r = -1359/4 - m. Factor 3/4*t**3 + 3/2*t + 0 - r*t**2.
3*t*(t - 2)*(t - 1)/4
Let b = 59/68 - 2/17. Let o = 151 - 149. Factor -3/8*s**o - b - 9/8*s.
-3*(s + 1)*(s + 2)/8
Suppose 2 + 2 = 2*o. Let y = -7 - -9. Determine n so that 3*n**2 - y*n**2 + n**o - 4*n**2 = 0.
0
Let m(p) = 2*p**2 + 2*p - 1. Let y(q) = -q**2 + q + 1. Suppose 15*o - 12*o + 12 = 0. Let t(s) = o*y(s) - 4*m(s). What is i in t(i) = 0?
-3, 0
Let k(y) = y**3 - 5*y**2 - y - 4. Let t be k(6). Let b = -26 + t. Solve b - 4*d - 2*d**2 + 4*d + 2 = 0.
-1, 1
Let y(z) = z**3 - 2*z**2 - 2*z + 1. Let a be y(3). Suppose -v = a*v. Factor 3 - 6*p + 3*p**2 + v*p + 0*p.
3*(p - 1)**2
Let k(h) be the first derivative of 8/7*h - 4/21*h**3 + 2/7*h**2 + 9. Factor k(q).
-4*(q - 2)*(q + 1)/7
Suppose -454 - 8*u - 89*u**2 + 88*u**2 + 447 = 0. Calculate u.
-7, -1
Let m be (2 - (-28)/(-21))*3/1. Determine x so that -180*x**3 + 60*x**m + 27*x**2 + 102*x**4 + 6*x - 9*x**4 - 6*x**2 = 0.
-2/31, 0, 1
Let d(r) = 9*r**2 - 175*r - 169. Let l(s) = -4*s**2 + 86*s + 84. Let p(x) = -2*d(x) - 5*l(x). Factor p(h).
2*(h - 41)*(h + 1)
Let a(f) = -4*f**3 + 256*f**2 + 980*f + 16. Let w(z) = z**3 - 85*z**2 - 329*z - 5. Let j(o) = -5*a(o) - 16*w(o). Factor j(v).
4*v*(v + 7)*(v + 13)
Let y(f) = -f - 1. Let w be y(-6). Suppose 6 = -2*u - 4*m - 6, w*m = -3*u - 14. Solve -r**3 + 2*r**5 - u*r**4 - 3*r**3 + 4*r**4 = 0 for r.
-2, 0, 1
Suppose -20 = -5*r + 5*l, 0 = -6*r + 5*r - l + 2. What is j in 5/3*j**2 - 5/3*j**4 + 0*j**r + 0*j + 0 = 0?
-1, 0, 1
Let f = -3579 - -3581. Factor -2/3*i**5 + f*i**3 + 4/3*i - 10/3*i**2 + 2/3*i**4 + 0.
-2*i*(i - 1)**3*(i + 2)/3
Let c(n) be the first derivative of -71 - 26*n - 12*n**3 + 2*n - 58*n**2 + 56. Let c(l) = 0. What is l?
-3, -2/9
Let t(m) be the first derivative of -m**4/28 - 3*m**3/14 - 3*m**2/7 - 2*m + 16. Let k(f) be the first derivative of t(f). Solve k(d) = 0.
-2, -1
Let y(j) = 5*j**4 - 15*j**3 + j**2 + 18*j - 3. Let o(w) = -16*w**4 + 44*w**3 - 4*w**2 - 54*w + 10. Let p(c) = -3*o(c) - 10*y(c). Factor p(n).
-2*n*(n - 9)*(n - 1)*(n + 1)
Let z(n) be the second derivative of n**7/7 - 3*n**6/10 - 3*n**5/4 + 5*n**4/4 + 3*n**3/2 - 3*n**2 + 86*n. Determine g so that z(g) = 0.
-1, 1/2, 1, 2
Factor 7763 - 168*c**2 - 7691 - 85*c + 20*c**3 - 31*c.
4*(c - 9)*(c + 1)*(5*c - 2)
Let j(i) be the first derivative of -i**3/12 - 3*i**2/2 - 9*i - 596. Determine w so that j(w) = 0.
-6
Suppose 10*p - 42*p + 138 = 138. Factor p - j**3 - 7/2*j**2 - 2*j + 1/2*j**4.
j*(j - 4)*(j + 1)**2/2
Let n(f) = f**3 + 6*f**2 + 20*f. Let k(q) = q**3 + q**2. Let r(o) = -6*k(o) + n(o). Factor r(m).
-5*m*(m - 2)*(m + 2)
Let y(q) be the first derivative of -1/54*q**4 + 0*q**3 + 0*q**2 + 2*q - 3. Let b(f) be the first derivative of y(f). Find s, given that b(s) = 0.
0
Suppose 0 = -u + 2*u - 5*c - 32, u - 4*c - 27 = 0. Let f be (4 - u) + (-6)/(-1). Factor 1/6*y - 1/6*y**f - 1/3*y**2 + 1/3.
-(y - 1)*(y + 1)*(y + 2)/6
Suppose -47*y = -53*y + 18. Let 2/7*b**2 + 0*b + 0 + 2/7*b**y = 0. What is b?
-1, 0
Let x(n) be the second derivative of 0*n**2 + 1/21*n**4 + 1/70*n**5 + 24*n + 1/21*n**3 + 0. Factor x(q).
2*q*(q + 1)**2/7
Let b be ((-31)/(-62))/(-2 - -92). Let w(m) be the third derivative of -b*m**5 + 9*m**2 - 1/36*m**4 + 0 + 0*m - 1/18*m**3. Factor w(a).
-(a + 1)**2/3
Let t be (-1)/(-7) + 1/((-483)/(-575)). Solve -4/3*a**2 + 8 - t*a = 0 for a.
-3, 2
Let c(m) be the second derivative of 3*m**5/14 - 47*m**4/126 - 13*m**3/63 + 5*m**2/7 - 829*m. What is i in c(i) = 0?
-5/9, 3/5, 1
Let n = -2533 - -2533. Factor n - 5*f**3 - 29/6*f**2 - f - 7/6*f**4.
-f*(f + 1)*(f + 3)*(7*f + 2)/6
Suppose -3*z = -4*z + 3*l + 8, 0 = 4*l + 8. Factor 4*m - 39*m**2 + 21*m**z + 12*m**2.
-2*m*(3*m - 2)
Factor -3/5*w + 13/5*w**2 + 7/5*w**3 + 1/5*w**4 - 18/5.
(w - 1)*(w + 2)*(w + 3)**2/5
Let j be (-79)/(79/(-6)) - (0 + 4). Factor 5/2*p**3 + 5/4*p**4 - 5/4*p**j + 0 - 5/2*p.
5*p*(p - 1)*(p + 1)*(p + 2)/4
Factor 17 + 2*o**2 - 95*o - 213 + 289*o.
2*(o - 1)*(o + 98)
Let t = -13 + 20. Suppose t = u - 0*u. Find c such that -3 + 4 + 8*c**3 + 2*c - u*c**2 - c**3 - 3*c**3 = 0.
-1/4, 1
Let m(g) = g**2 - 7*g + 13. Let k be m(10). Let q(z) = 16 + 10 - 5 - 10*z + k*z + 12*z**2. Let n(d) = 3*d**2 + 8*d + 5. Let c(u) = 9*n(u) - 2*q(u). Factor c(b).
3*(b + 1)**2
Let s(d) be the second derivative of 0*d**6 - 1/168*d**7 + 0*d**3 + 0*d**2 + 0*d**4 + 0 + 1/80*d**5 - 18*d. Factor s(w).
-w**3*(w - 1)*(w + 1)/4
Let s(c) = c**2 + 17*c + 21. Let o(j) = j**2 + 16*j + 30. Let p(i) = -3*o(i) + 2*s(i). Find h such that p(h) = 0.
-8, -6
Let o be ((-12)/14)/((-76)/(-2261))*4. Let t = 104 + o. Factor 4/3*f + 2/3*f**t + 0.
2*f*(f + 2)/3
Suppose 5*j = 2*l - 20, -4*l - 3*j + 0*j + 14 = 0. Let c be (3/(12 - 0))/(l/8). Factor -2/5*o**2 - c*o**3 + 2/5*o**4 + 2/5*o + 0.
2*o*(o - 1)**2*(o + 1)/5
Let m(b) = -b**2. Suppose 6*f = 5*f - 1. Let x be (9*f)/(15/20). Let h(c) = -9*c**2 + 3*c. Let l(s) = x*m(s) + h(s). Factor l(a).
3*a*(a + 1)
Let i(g) be the second derivative of -1/36*g**3 - 1/20*g**6 + 0 + 5/72*g**4 - 37*g + 0*g**2 - 1/40*g**5. Factor i(c).
-c*(c + 1)*(3*c - 1)**2/6
Let p be 22/(-20) - 60/(-40). Factor -12/5*b + p*b**2 + 18/5.
2*(b - 3)**2/5
Let d(s) = 6*s - 2. Let y be d(1). Suppose 12 = u - 2*j, -3*u + 4*u = -y*j - 18. Solve w**2 - u*w - 6*w**2 + w**2 + 4 + 2*w**3 = 0 for w.
-1, 1, 2
Determine w so that 57/7*w + 5/7*w**2 + 22/7 = 0.
-11, -2/5
Find d, given that 41*d**4 + 35*d**4 + 44*d**2 + 30*d**4 - 150*d**3 - 120*d**4 = 0.
-11, 0, 2/7
Let o(q) be the first derivative of -q**5/10 + q**4/3 + 4*q**3/3 - 8*q**2 + 15*q + 14. Let v(f) be the first derivative of o(f). Factor v(z).
-2*(z - 2)**2*(