+ 1)*(7*r - 4)
Suppose -33 = -x - 31. Factor -23*l + x + 7*l + l**3 + 15*l - 2*l**2.
(l - 2)*(l - 1)*(l + 1)
Let y(l) = l**3 + 9*l**2 - 12*l - 18. Let h be y(-10). Factor -2/3*d**h + 1/3*d**4 + 0 - 1/3*d**3 + 0*d.
d**2*(d - 2)*(d + 1)/3
Suppose -3*s = -6, -2*i + 7 = i - 4*s. Suppose 6*w - i*w = 0. Factor 9*n**2 + 6*n + 3*n**3 + 0*n**3 + w*n**3.
3*n*(n + 1)*(n + 2)
Suppose -13 = -3*w - 32*j + 30*j, -2*j + 4 = 0. Find l, given that -9*l - 9 - w*l**2 - 1/3*l**3 = 0.
-3
Suppose -570/7*y**3 - 450/7*y**4 + 0 - 8/7*y - 128/7*y**2 = 0. Calculate y.
-1, -2/15, 0
Let o be -27*-20*(-28)/(-3780). Let m = -6/5 + 17/10. Let 0 + 1/2*a**o - 1/2*a**3 - m*a**2 + 0*a + 1/2*a**5 = 0. Calculate a.
-1, 0, 1
Let b(x) be the first derivative of 25/4*x + 1/12*x**3 - 39 + 5/4*x**2. Let b(z) = 0. Calculate z.
-5
Let o(c) be the first derivative of 2*c**6 + 32*c**5/5 - 3*c**4 + 88. Factor o(l).
4*l**3*(l + 3)*(3*l - 1)
Let f(b) be the second derivative of -25*b**7/14 - 10*b**6 - 18*b**5 - 16*b**4 - 8*b**3 + 13*b**2 - 22*b. Let l(w) be the first derivative of f(w). Factor l(r).
-3*(r + 2)*(5*r + 2)**3
Suppose 2*n = 0, 221*s - 4*n = 217*s - 2*n + 16. Let -3/8*c**s + 9/8*c**3 - 3/2*c + 0 + 0*c**2 = 0. What is c?
-1, 0, 2
Let q(w) = -w**2 + 9*w - 12. Let x(b) = -b**2 - 6*b + 13. Let h be x(-7). Let t be q(h). Factor -3*j**4 - 7*j + 5*j**2 - 2*j**2 + t*j**3 - 3*j + 4*j.
-3*j*(j - 2)*(j - 1)*(j + 1)
Suppose -18 - 24 = -6*n. Suppose 24 = -r + 4*r. Factor v**2 - 5*v**4 - n*v + r*v + 4*v**4 - v**3.
-v*(v - 1)*(v + 1)**2
Let r(c) be the third derivative of c**7/210 - 3*c**6/20 + 4*c**5/3 + 3*c**4/4 - 27*c**3/2 - 233*c**2. Factor r(s).
(s - 9)**2*(s - 1)*(s + 1)
Suppose -303 - 649 = -8*y. Suppose -4*i + y = -3*d, -2*i - 2*d = 2*d - 76. Let -13*f**2 + 2*f - i*f**4 - 5*f**2 + 18 + 48*f**3 - 18 = 0. Calculate f.
0, 1/4, 1
Let r be 0 + (0/4)/(-12). Factor -1/8*u**3 - 1/4*u**2 + r - 1/8*u.
-u*(u + 1)**2/8
Suppose -y = -3*r + 8, -5*r - 4*y = -0*y - 19. Find j such that -291*j + j**r - 20*j**2 - 3*j**3 + 241*j = 0.
-5, 0
Suppose l = 2*l + 2. Let g be (2 - l)*(-6)/(-12). What is t in -8*t**4 - 2*t**5 - 2*t**5 + 8*t**g + 0 + 0 + 4*t = 0?
-1, 0, 1
Let f(g) be the third derivative of 4*g**2 - 1/12*g**5 + 0*g - 5/2*g**4 + 0 - 30*g**3. Let f(p) = 0. What is p?
-6
Let m(t) = -7*t + 43*t - 14*t - 6*t. Let r be m(0). Factor -2/3*f**3 - 4/3*f**4 + 0 + r*f + 0*f**2 - 2/3*f**5.
-2*f**3*(f + 1)**2/3
Suppose -5*d + 3*f = -41 + 3, 0 = 5*d + 2*f - 58. Let v = d + -8. Suppose 4*c**2 - 4*c**4 + 7 - 6 - 1 - v*c**3 + 2*c**5 = 0. Calculate c.
-1, 0, 1, 2
Let t(c) be the first derivative of -1 - 2/9*c + 1/9*c**2 - 1/18*c**4 + 2/27*c**3. Determine w so that t(w) = 0.
-1, 1
Let o(z) = -z**3 + 9*z**2 + 9*z + 15. Let k be o(10). What is v in -17*v**2 - 9*v + k*v**2 + v**2 + 8*v**2 = 0?
-3, 0
Let b(r) = 13*r**3 + 34*r**2 + 16*r - 28. Let t(y) = 38*y**3 + 101*y**2 + 47*y - 83. Let a = 37 + -48. Let z(m) = a*b(m) + 4*t(m). Factor z(i).
3*(i + 2)**2*(3*i - 2)
Let y(l) = -l - 24. Let j be y(-5). Let u = j + 22. Factor 1/7*h**4 + 0*h**u - 2/7*h**2 + 0*h + 1/7.
(h - 1)**2*(h + 1)**2/7
Factor -808/15*u + 81608/15 + 2/15*u**2.
2*(u - 202)**2/15
Find z such that -24 + 2*z**2 + 0*z**2 - 92*z + 0*z**2 + 3*z**2 + 11*z**2 = 0.
-1/4, 6
Let n(u) = 3*u**2 + 34*u + 33. Let r be n(-1). Let b(g) be the second derivative of 3*g + 0*g**3 + 0 - 1/6*g**4 + 4*g**r. Factor b(w).
-2*(w - 2)*(w + 2)
Let i(j) = j**2 + 8*j - 5. Let l be 3*-4 + (-5 - -8). Let c be i(l). Factor 2*h**2 - 5*h - 2*h + 13*h + c.
2*(h + 1)*(h + 2)
Let a be (0/(-5) + 1)*-3. Let j be ((-104)/(-390))/(1*(-2)/a). What is q in -16/5*q + 32/5 + j*q**2 = 0?
4
Let i = 38 + -13. Factor 0 + 0 - i*c**2 + 5*c + 0.
-5*c*(5*c - 1)
Let y(k) = -9*k**4 + 12*k**3 - 3*k**2 - 5*k. Let f(u) = -8*u**4 + 12*u**3 - 4*u**2 - 4*u. Let n(o) = 5*f(o) - 4*y(o). Factor n(h).
-4*h**2*(h - 2)*(h - 1)
Let d be 23424/14976 - 6/26. Let 4/3*g**2 - 2/3*g**5 + 2/3 - 2*g**4 - d*g**3 + 2*g = 0. What is g?
-1, 1
Let t(g) be the third derivative of g**5/3 - 15*g**4/8 - 10*g**3 + 28*g**2 - 2. Let x(p) = 29*p**2 - 68*p - 90. Let a(n) = -7*t(n) + 5*x(n). Factor a(j).
5*(j - 6)*(j + 1)
Find b, given that -36/7 - 2/7*b**3 + 8/7*b**2 + 6/7*b = 0.
-2, 3
Let n(v) = v**2 - 4*v - 3. Suppose 5*b - 13 = 4*x, 0 = 2*b - 7*b - 4*x + 37. Let w be n(b). Factor 12/7*o**w - 2/7*o**3 + 16/7 - 24/7*o.
-2*(o - 2)**3/7
Let a = -61 + 64. Let b(f) be the first derivative of 8/21*f**a - 1/14*f**4 - 4/7*f**2 + 0*f - 4. What is r in b(r) = 0?
0, 2
Determine h so that -48/5 + 4/5*h**3 + 16*h - 36/5*h**2 = 0.
1, 2, 6
Let o be (1632/(-546) - -4) + 48/(-56). Factor 16/13 - o*j**2 + 14/13*j.
-2*(j - 8)*(j + 1)/13
Factor 162/5 + 36/5*l + 2/5*l**2.
2*(l + 9)**2/5
What is v in 1800*v + 45*v**2 + 3/8*v**3 + 24000 = 0?
-40
Suppose -r = 3*y - 9, r = y + 43 - 46. Let j(c) be the second derivative of -2*c - 1/54*c**4 - 2/27*c**3 - 1/9*c**2 + r. Suppose j(m) = 0. What is m?
-1
Let s(a) be the second derivative of -a**6/30 - 13*a**5/10 - 49*a**4/12 - 4*a**3 - 4*a + 82. Factor s(b).
-b*(b + 1)**2*(b + 24)
Let l be -2 + 1 - 6/(-2). What is w in 6*w**4 - w**4 + 0*w - 3*w**l - 2*w**4 + 6*w - 6*w**3 = 0?
-1, 0, 1, 2
Let v(p) be the second derivative of -3*p**5/80 + 5*p**4/3 - 559*p**3/24 + 169*p**2/4 + 2*p - 71. Factor v(i).
-(i - 13)**2*(3*i - 2)/4
Let v(b) be the second derivative of -3*b**5/70 - b**4 + 31*b**3/7 - 48*b**2/7 - 451*b. Find w, given that v(w) = 0.
-16, 1
What is t in -5/4*t**5 - 55/2*t**3 + 475/4*t + 125/2 + 40*t**2 - 25/2*t**4 = 0?
-5, -1, 2
Suppose 5*u = -14*u + 228. Let l(b) be the first derivative of 0*b + 3/5*b**3 + 0*b**2 + 1/25*b**5 - u + 3/10*b**4. Determine o, given that l(o) = 0.
-3, 0
Let w(h) be the second derivative of -h**6/12 + 31*h**5/8 - 935*h**4/24 - 1445*h**3/4 + 707*h. Solve w(r) = 0.
-3, 0, 17
Let k(s) = 31*s - 15. Let v be k(8). Solve -w - 16*w**3 - v*w**4 - 7*w + 229*w**4 - 20*w**2 = 0 for w.
-2, -1, 0
Let m(j) = -j**4 - 2*j**3 + j - 2. Let t(o) = 4*o**4 + 28*o**3 + 180*o**2 + 645*o + 870. Let r(k) = -6*m(k) - 2*t(k). Suppose r(s) = 0. What is s?
-6, -4
Let r(k) = -39*k**4 + 75*k**3 - 144*k**2 + 12*k - 24. Let m(c) = 8*c**4 - 15*c**3 + 29*c**2 - 2*c + 5. Let w(q) = -24*m(q) - 5*r(q). Factor w(i).
3*i*(i - 2)**2*(i - 1)
Let y = 138 + -135. Suppose -3*m**5 - 90*m + 21*m**2 + 10*m**4 + 84*m + 5*m**4 - 27*m**y = 0. Calculate m.
0, 1, 2
Let f(k) = 20*k**5 - k**4 - 240*k**3 + 378*k**2 - 80*k - 2. Let j(m) = 2*m**4 - m**2 - 1. Let h(i) = -f(i) + 2*j(i). Determine b so that h(b) = 0.
-4, 0, 1/4, 2
Let b(a) be the second derivative of a**6/15 + a**5/10 - a**4/6 - a**3/3 - 40*a + 1. Factor b(g).
2*g*(g - 1)*(g + 1)**2
Suppose p - 40/3 + 1/3*p**2 = 0. What is p?
-8, 5
Suppose -5*w + 21 = 4*b - 4*w, 4*w = -5*b + 40. Let r(p) be the second derivative of -1/140*p**5 - 1/210*p**6 - 6*p + 0 + 0*p**3 + 0*p**b + 0*p**2. Factor r(x).
-x**3*(x + 1)/7
Let c be 1936/64 + 2/(-8). Let x = -28 + c. Solve 128/3*a**x + 2/3*a - 4 + 14*a**3 = 0.
-3, -1/3, 2/7
Let d(u) = 4*u**2 - 373*u - 372. Let q be d(-1). Suppose 4/7*g**3 + 0*g - 18/7*g**4 + 0*g**2 + 8/7*g**q + 0 = 0. What is g?
0, 1/4, 2
Let x be (-42)/63*(-45)/10. Let 0*t**2 + 2/15*t + 0 - 2/15*t**x = 0. Calculate t.
-1, 0, 1
Let s(b) be the first derivative of -b**4/28 - 8*b**3/21 - 19*b**2/14 - 12*b/7 + 53. Factor s(p).
-(p + 1)*(p + 3)*(p + 4)/7
Let j = 8 + -5. Let f(i) be the second derivative of -8/27*i**j + 0 - 16/9*i**2 + 8*i - 1/54*i**4. Factor f(v).
-2*(v + 4)**2/9
Let s(n) = -2*n - 24. Let g be s(-14). Let b = 4 - g. Factor -2/3*d + 2/3*d**3 + b*d**2 - 1/3*d**4 + 1/3.
-(d - 1)**3*(d + 1)/3
Let r(b) be the first derivative of b**4/10 - 4*b**3/15 + b**2/5 + 343. Factor r(k).
2*k*(k - 1)**2/5
Let x(j) be the first derivative of 1/15*j**3 - 11 + j**2 + 5*j. Determine g, given that x(g) = 0.
-5
Let g be (-6 + 26/5)/((-10)/5). Factor -g*f**4 - 36/5*f**2 - 8*f - 16/5 - 14/5*f**3.
-2*(f + 1)*(f + 2)**3/5
Determine o, given that 24*o**2 - 12*o**4 - 40*o**5 - 3*o + 83*o**5 - 4*o**3 - 41*o**5 - 12 + 5*o = 0.
-1, 1, 6
Let q(y) be the first derivative of -y**5 - 45*y**4/4 - 125*y**3/3 - 135*y**2/2 - 50*y - 156. Solve q(c) = 0.
-5, -2, -1
Let h(y) be the second derivative of -y**6/6 - 31*y**5/10 - 53*y**4/4 - 9*y**3 + 192*y. Determine v, given that h(v) = 0.
-9, -3, -2/5, 0
Let g(v) = 2*v*