 + 2 - 1 - 2. Suppose -113 + 155 = 21*h. Let y(v) = h*r(v) + 4*z(v). Factor y(n).
-4*n*(n + 1)
Suppose -3*j - 267 = -282. Factor 4/5*w**2 - 2/5*w + 0 + 0*w**3 - 4/5*w**4 + 2/5*w**j.
2*w*(w - 1)**3*(w + 1)/5
Let u(j) = -j**3 + 10*j**2 - j + 12. Let x be u(10). Determine t so that -5*t + t**x - 3*t**2 - 6*t**2 + 3*t**2 = 0.
-1, 0
Suppose 12 = -4*n, 4*n - 10 = 3*u - 40. Suppose 6 + u = 4*d. Factor d*a - 25*a**3 - 27*a**3 - 31*a - 16*a**4 - 4 - 60*a**2.
-4*(a + 1)**3*(4*a + 1)
Suppose -2*u - 1 = 5*x, 4*x - 3 = u - 9. Solve -7*w + 8*w - w**2 - u*w = 0 for w.
-1, 0
Let n = -187 + 1499/8. Let j = -205/4 + 52. What is s in -n*s**2 - 3/8*s + j = 0?
-2, 1
Let q(h) = -4*h**3 + 9*h**2 + 28*h + 6. Let j(f) = 5*f**3 - 10*f**2 - 27*f - 6. Let o be (1/(-3) - 0)*-6. Let y(s) = o*q(s) + 3*j(s). Factor y(z).
(z - 3)*(z + 1)*(7*z + 2)
Let p(v) = 7*v**2 + 62*v - 134. Let z(q) = -6*q**2 - 62*q + 133. Let y(s) = -5*p(s) - 6*z(s). Suppose y(f) = 0. What is f?
-64, 2
Let o(y) = -3*y**3 - 92*y**2 + 159*y - 64. Let c(b) = b**3 + 31*b**2 - 53*b + 21. Let g(z) = 17*c(z) + 6*o(z). Factor g(f).
-(f - 1)**2*(f + 27)
Let m(l) be the third derivative of -l**6/30 - l**5/3 + l**4 + 7*l**2. Determine s so that m(s) = 0.
-6, 0, 1
Let v(w) = 3*w + 1. Let y be v(1). Let o = -8 + 10. Factor 5*j**4 - o*j**3 - j**2 + 8*j**4 - 14*j**y.
-j**2*(j + 1)**2
Let i(m) be the third derivative of 0*m + 1/42*m**6 + 5/84*m**4 + 1/1176*m**8 + 0 - 1/21*m**3 - 1/147*m**7 - 24*m**2 - 1/21*m**5. Factor i(j).
2*(j - 1)**5/7
Let k(i) be the second derivative of i**5/60 + i**4/6 + 11*i**3/18 + i**2 + 238*i. Factor k(y).
(y + 1)*(y + 2)*(y + 3)/3
Let r be (-5 + 6)/(3/6). Factor -2*a - 3 + 3 + 2 - r*a**2 + 2.
-2*(a - 1)*(a + 2)
Let p be (-160)/(-315) - (-66)/(-297). Factor 0 + 1/7*o**2 + p*o**3 - 2/7*o - 1/7*o**4.
-o*(o - 2)*(o - 1)*(o + 1)/7
Let j(s) be the third derivative of 2*s**6/15 - 7*s**5/3 - 3*s**4/2 - 3*s**2 + 20. Solve j(k) = 0.
-1/4, 0, 9
Suppose -23*y + 8 = -19*y. Factor 25*j + 28 - y*j**2 - j + 2*j**2 - 4*j**2.
-4*(j - 7)*(j + 1)
Let r = 307 + -304. Let m(k) be the third derivative of 1/6*k**r - 8*k**2 + 11/30*k**5 - 19/48*k**4 + 0*k + 0. Let m(u) = 0. What is u?
2/11, 1/4
Let c(v) be the second derivative of 0 - 4/15*v**3 - v + 7/60*v**4 - 1/100*v**5 - 8/5*v**2. Determine a so that c(a) = 0.
-1, 4
Suppose -21*q + 1560 = -36*q. Let g be (-288)/q + -2 + 0. Suppose 2/13*o**3 + 6/13 + g*o**2 + 14/13*o = 0. Calculate o.
-3, -1
Suppose -2*l + 566 = -4*c, -3*c - 2*c + 2*l - 707 = 0. Let b = c - -707/5. Find g, given that 0 + b*g**2 - 2/5*g = 0.
0, 1
Suppose 7*s - 13 - 15 = 0. Let n(c) be the first derivative of -2*c**2 + 0*c - 1/4*c**s + 4/3*c**3 + 3. Suppose n(w) = 0. Calculate w.
0, 2
Let d(k) be the first derivative of 2*k**3/9 - 22*k**2/3 + 224*k/3 - 11. Factor d(z).
2*(z - 14)*(z - 8)/3
Let c be 13 + (0 - -3) + -3. Suppose 12*y - c*y + 6 = 0. Factor -4*x**5 + 2*x**3 + 55*x**4 - y*x**3 - 47*x**4.
-4*x**3*(x - 1)**2
Suppose -3*w = -2*w - 156. Find c such that -4*c**4 - 8*c**2 - 156 + w - 12*c**3 = 0.
-2, -1, 0
Factor 2*p**4 + 18*p**2 - 443*p - 16*p**3 + 229*p + 250*p.
2*p*(p - 6)*(p - 3)*(p + 1)
Suppose -28*u - 111 = -167. Factor 3 - 3/5*a**u + 12/5*a.
-3*(a - 5)*(a + 1)/5
Suppose -14 = -3*a + 4*a - 4*l, 2*l - 8 = 0. Find r such that 3*r**2 - 4 + 4*r**3 + 78*r - 82*r + r**a = 0.
-1, 1
Let g(a) be the second derivative of 2*a**6/15 - 3*a**5 + 9*a**4 - 26*a**3/3 - 66*a. Factor g(k).
4*k*(k - 13)*(k - 1)**2
Let x = 842 + -838. Suppose 2/9*p**2 + 4/9*p**3 + 2/9*p**x + 0 + 0*p = 0. What is p?
-1, 0
Let d(q) be the first derivative of q**6/1260 - 8*q**3/3 + 3. Let n(a) be the third derivative of d(a). Factor n(m).
2*m**2/7
Let b(r) be the third derivative of 0*r**3 + 1/168*r**8 - 12*r**2 + 0*r + 1/20*r**6 + 1/35*r**7 + 1/30*r**5 + 0*r**4 + 0. Solve b(i) = 0 for i.
-1, 0
Suppose -9*d - 9*d + 54 = 0. Let i(p) be the third derivative of -1/660*p**6 - 4*p**2 + 0*p + 1/165*p**5 - 1/132*p**4 + 0*p**d + 0. Let i(j) = 0. Calculate j.
0, 1
Suppose -j = -1 - 2. Let x = 327 - 309. Suppose 5*g - 5*g - 27 - j*g**2 + x*g = 0. What is g?
3
Let f be (-4)/(-28) - (-1 + 3798/(-1190)). Let s = f - 16/119. Factor 27/5*l**2 + 3*l**3 + 6/5 + 3/5*l**4 + s*l.
3*(l + 1)**3*(l + 2)/5
Let b = -11191 - -11193. Determine x, given that -12/7 + 24/7*x**3 + 3/7*x**5 - 6/7*x**b + 18/7*x**4 - 27/7*x = 0.
-4, -1, 1
Let a be (12 - 9 - -4) + -5. Factor 0 - 9/2*z + 3/2*z**a.
3*z*(z - 3)/2
Let z(s) be the third derivative of -s**5/150 + s**4/60 + 2*s**3/15 + 34*s**2. Suppose z(q) = 0. What is q?
-1, 2
Let j be (-2)/3 - (-22)/6. Find a such that 6/11*a**2 - 8/11 + 0*a + 2/11*a**j = 0.
-2, 1
Let o(j) be the third derivative of j**8/3360 + j**4/24 - 5*j**2. Let y(k) be the second derivative of o(k). Let y(a) = 0. What is a?
0
Let w(h) = -22*h**4 - 23*h**3 + 7*h**2 + 23*h + 15. Let z(p) = -15*p**4 - 15*p**3 + 5*p**2 + 15*p + 10. Let k(q) = 5*w(q) - 7*z(q). Factor k(a).
-5*(a - 1)*(a + 1)**3
Solve -12/13*v**4 + 18/13*v**3 + 0*v + 0*v**2 + 0 + 2/13*v**5 = 0.
0, 3
Let f(n) be the first derivative of -16 + 45*n - n**3 - 9*n**2 - 7 + 3*n. Solve f(b) = 0 for b.
-8, 2
Let a(q) be the second derivative of 3/160*q**5 + 0 - 1/480*q**6 + 4*q - 1/6*q**3 - 1/16*q**4 + 0*q**2. Let g(f) be the second derivative of a(f). Factor g(w).
-3*(w - 2)*(w - 1)/4
Let z = 72 + -29. Suppose -40*o = -z*o + 9. What is p in 0*p - 3/2*p**o + p**2 - 5/2*p**4 + 0 = 0?
-1, 0, 2/5
Let y(h) = h**2 - h + 2. Let b(c) = 2*c**3 + 301*c**2 + 11555*c - 6. Let n(m) = b(m) + 3*y(m). What is t in n(t) = 0?
-76, 0
Let q be ((16/8)/18)/(-3*(-3)/108). Factor -q*m**2 - 4/3 - 8/3*m.
-4*(m + 1)**2/3
Let g(l) = 2*l**2 - 1 + 2 - l - l**2. Let s(q) = -10*q + 5. Let c(a) = 5*g(a) - s(a). Suppose c(y) = 0. What is y?
-1, 0
Let m(z) be the third derivative of 8*z**7/525 - 11*z**6/75 + 7*z**5/20 - 37*z**4/120 + 2*z**3/15 - 2*z**2 - 6. Suppose m(g) = 0. Calculate g.
1/4, 1, 4
Determine x, given that 99*x + 31 + x**2 - 36*x + 91 = 0.
-61, -2
Factor 705*n**4 + 5*n**5 + 706*n**4 - 1406*n**4.
5*n**4*(n + 1)
Suppose -2*t - 70 + 78 = 2*p, 2*t - 14 = -5*p. Let c = 688/7 - 98. What is n in c*n**p - 4/7 + 2/7*n = 0?
-2, 1
Let s(t) be the third derivative of t**7/105 - 7*t**6/60 + 11*t**5/30 - 5*t**4/12 + 108*t**2. Factor s(j).
2*j*(j - 5)*(j - 1)**2
Let g(y) be the third derivative of 0*y**3 + 2*y**2 + 5/12*y**4 + 0 - 1/42*y**7 + 1/6*y**6 - 5/12*y**5 + 0*y. Determine c so that g(c) = 0.
0, 1, 2
Suppose 0 = 5*v - 45*v. Let z(c) be the second derivative of 1/70*c**5 + 0*c**3 - 11*c - 1/42*c**4 + 0*c**2 + v. Factor z(j).
2*j**2*(j - 1)/7
Let o(d) be the first derivative of 2*d**7/525 - d**6/50 + 2*d**5/75 - 7*d**2/2 + 19. Let r(p) be the second derivative of o(p). Factor r(q).
4*q**2*(q - 2)*(q - 1)/5
What is x in 0 - 58/23*x**2 - 6/23*x**3 - 36/23*x = 0?
-9, -2/3, 0
Let a = -70 + 76. Let y(f) be the second derivative of f - 1/225*f**a - 1/50*f**5 + 1/15*f**3 + 0 + 2/15*f**2 - 1/90*f**4. What is i in y(i) = 0?
-2, -1, 1
Let r(o) be the first derivative of -207*o**5/5 + 105*o**4 - 73*o**3 + 3*o**2 + 174. Factor r(q).
-3*q*(q - 1)**2*(69*q - 2)
What is j in 2/9*j**5 + 0*j**2 + 0*j**3 - 4/3*j**4 + 0*j + 0 = 0?
0, 6
Solve -34/3*c - 1/3*c**3 - 19/3*c**2 + 0 = 0 for c.
-17, -2, 0
Suppose 3 = -w, 16*w = -k + 15*w. Let d(i) be the second derivative of 0 + 0*i**2 - 7/6*i**4 + i**k + 4*i. Factor d(o).
-2*o*(7*o - 3)
Let r be ((-9)/4)/(600/(-160)). Determine n, given that -1/5*n**5 - 1/5*n**2 - r*n**3 + 0 - 3/5*n**4 + 0*n = 0.
-1, 0
Suppose -390 = 3*s + 4*l, -12*l = -11*l - 3. Let c = s - -137. Factor 0*k**2 + 0 + 1/5*k**c + 0*k.
k**3/5
Let k(f) = f. Let n(q) = 2*q**3 + 8*q**2 - 6*q - 32. Let i(j) = 2*k(j) - n(j). Solve i(c) = 0 for c.
-4, -2, 2
Let r = -31 - -30. Let j(h) = h**4 + h**3 - 3*h**2 - h + 1. Let i(y) = 1. Let z(o) = r*j(o) - i(o). Factor z(q).
-(q - 1)**2*(q + 1)*(q + 2)
Let h(i) be the second derivative of 3*i**5/80 + 9*i**4/16 - 6*i**3 + 39*i**2/2 - 112*i. Factor h(s).
3*(s - 2)**2*(s + 13)/4
Suppose 5*z - 7*i - 24 = -6*i, -5*i = z + 16. Let q(h) be the first derivative of 10/3*h**3 - 2*h**z - 2*h**2 + 2/5*h**5 + 4 + 0*h. What is m in q(m) = 0?
0, 1, 2
Let j(v) = -2*v**3 + 92*v**2 - 84*v - 176. Let n(t) = -3*t**3 + 184*t**2 - 170*t - 352. Let c(y) = -5*j(y) + 2*n(y). Factor c(w).
4*(w - 22)*(w - 2)*(w + 1