 + 1)*(3*j - 94)**3/7
Let m(i) be the second derivative of 61*i**6/40 - 3*i**5 - i**4/6 + 11*i**3/6 + i**2 - 13*i - 2. Let o(j) be the second derivative of m(j). Factor o(h).
(3*h - 2)*(183*h + 2)
Let c = -67698 - -203096/3. Factor -c*h**3 + 0 - 1/3*h - h**2.
-h*(h + 1)*(2*h + 1)/3
Let p = -2162/3 - -721. Let x(l) be the first derivative of p*l**2 + 5/9*l**3 + 0*l + 1/15*l**5 - 12 + 1/3*l**4. Factor x(u).
u*(u + 1)**2*(u + 2)/3
Let t(i) be the third derivative of i**6/150 + 31*i**5/75 - 196*i**4/5 + 1056*i**3 - 667*i**2. Factor t(k).
4*(k - 12)**2*(k + 55)/5
Let k(b) = -11*b + 85. Let g be k(12). Let u = 49 + g. Find x such that 0 + 0*x**u - 8/9*x**3 - 4/9*x**5 + 4/3*x**4 + 0*x = 0.
0, 1, 2
Let 53/2*g**3 + 88 - 90*g + 87/2*g**4 - g**5 - 196*g**2 = 0. Calculate g.
-2, -1, 1/2, 2, 44
Let x be 1/4 + (-24 - 95/(-4)). Let d(k) be the third derivative of 0 + x*k + 0*k**6 + 0*k**3 - 26*k**2 + 1/30*k**5 + 0*k**4 - 1/105*k**7. Factor d(v).
-2*v**2*(v - 1)*(v + 1)
Factor -273 - 172*c + 12*c**3 + 30 - 2998*c**2 + 3079*c**2 - 98*c.
3*(c - 3)*(c + 9)*(4*c + 3)
Let i(t) = -5*t**3 + 941*t**2 - 1132*t + 232. Let n(x) = 6*x**3 - 943*x**2 + 1129*x - 232. Let w(f) = -10*i(f) - 9*n(f). Factor w(k).
-(k - 1)*(k + 232)*(4*k - 1)
Let k(s) be the first derivative of 3*s**6/10 + 6*s**5/25 - 21*s**4/20 + 2*s**3/5 + 359. What is v in k(v) = 0?
-2, 0, 1/3, 1
Suppose 42*o = -17570 + 17654. Let c = 1111 + -25549/23. Let 2/23*a**o - 6/23 - c*a = 0. Calculate a.
-1, 3
Let c(t) be the first derivative of t**4/12 - 79*t**3/9 - 125*t**2/3 + 328*t/3 + 1695. Factor c(h).
(h - 82)*(h - 1)*(h + 4)/3
Let x be ((-3)/1)/((-3)/2). Let o = 1246 + -1238. Factor -o + 27*p - 11 - 3*p**x + 19.
-3*p*(p - 9)
Let o be 6721/221 + -35 - -30. Determine l so that o*l**2 - 2/17*l**5 - 156/17*l**3 + 28/17*l**4 - 594/17*l + 324/17 = 0.
2, 3
Suppose -10*r + 4 = -9*r + 3*a, -5*r + a = 28. Let p(h) = -12*h - 56. Let c be p(r). Determine i so that 16/5 - 32/5*i + 1/5*i**c + 24/5*i**2 - 8/5*i**3 = 0.
2
Factor 1 - 4 - 8*g**4 + 16*g**2 + 22*g**5 - 5 + 171*g**3 - 173*g**3 + g - 21*g**5.
(g - 8)*(g - 1)**2*(g + 1)**2
Let n = 16908 + -16897. Let i(f) be the first derivative of -2/3*f + 4/9*f**2 - n - 2/27*f**3. Factor i(c).
-2*(c - 3)*(c - 1)/9
Let a = -4/349 + 1753/698. Let c = -29 + 39. Factor 5/2*i**3 - a*i**4 + 35/4*i + 5/2 - 5/4*i**5 + c*i**2.
-5*(i - 2)*(i + 1)**4/4
Suppose 415*t - 491 = 754. Suppose 8/9*n**4 + 14/9*n**t - 4/9*n**2 + 0 + 0*n = 0. Calculate n.
-2, 0, 1/4
Let u be (-194)/(-1067) - (2/11 + 3/(-21)). Factor 0 + u*r**2 - 1/7*r**4 - 1/7*r**3 + 1/7*r.
-r*(r - 1)*(r + 1)**2/7
Let x(c) = -294*c - 2642. Let y be x(-9). Let j(m) be the second derivative of -7*m**3 + 147/2*m**2 + 1/4*m**y + 0 - 5*m. Factor j(p).
3*(p - 7)**2
Suppose 5*h - 464 = -2*s, 0 = 4*h - 8*h + 4*s + 388. Let g = -92 + h. Factor -12 + 19 - 7 - 2*i**g + 10*i.
-2*i*(i - 5)
Factor -1/5*i**2 - 402*i - 202005.
-(i + 1005)**2/5
Factor z**5 - 14*z**4 + 0*z**5 + 126023 - 148*z**2 - 63016 - 76*z - 87*z**3 - 63007.
z*(z - 19)*(z + 1)*(z + 2)**2
Let a(f) be the first derivative of f**4/8 + 214*f**3/3 - 431*f**2/4 - 429*f - 989. Factor a(t).
(t - 2)*(t + 1)*(t + 429)/2
Let u(t) = 2*t**3 - 12*t**2 + t - 4. Let b be u(6). Suppose 5*z**3 + 274*z + 80*z**b - 220*z + 331*z + 490 = 0. What is z?
-7, -2
Let 30/11*r**4 + 2/11*r**5 + 0 + 0*r**2 + 0*r + 0*r**3 = 0. Calculate r.
-15, 0
Let y be 3*6/5 + (-4)/(-10). Factor -449 + 68*h - 439 + 864 - y*h**4 + 28*h**3 - 68*h**2.
-4*(h - 3)*(h - 2)*(h - 1)**2
Let m be ((-115860)/(-80))/((-30)/16). Let d = m - -776. Suppose -36/5 - 102/5*t - d*t**3 - 84/5*t**2 = 0. What is t?
-3, -1, -2/3
Suppose -m + 3*u = 2*m - 21, 4*m - 3*u - 27 = 0. Suppose -5*p + m = -2*g, -8 = -2*p - 2*p. Factor -6 + 60*o + 2 - 66*o - 2*o**g.
-2*(o + 1)*(o + 2)
Let k(g) be the second derivative of g**5/80 - g**4/3 - g**3/24 + 2*g**2 - 5491*g. Factor k(b).
(b - 16)*(b - 1)*(b + 1)/4
Let u be (7 - 8)/(11 + (414/(-4))/9). What is d in -4*d + 22/5 - 2/5*d**u = 0?
-11, 1
Let i = -1449805/3 + 483269. Factor -i*d**2 - 20/3 + 22/3*d.
-2*(d - 10)*(d - 1)/3
Let r = 761/4 + -3801/20. Let d be 1/1 + (-5)/25. What is b in d*b**2 + r*b - 4/5 - 1/5*b**3 = 0?
-1, 1, 4
Suppose 5*h - 2*y + 6*y = -4003, 791 = -h + 4*y. Let m = -5590/7 - h. Find q, given that 0 + 0*q + 3/7*q**4 + m*q**2 + 6/7*q**3 = 0.
-1, 0
Let l(h) be the second derivative of -13/24*h**3 - 1/48*h**4 - 75*h + 0*h**2 + 0. Suppose l(d) = 0. Calculate d.
-13, 0
Suppose -1 = -3*y + 11. Suppose 5*n = -133 + 82 + 61. Factor -5/3*d**y + 0*d + 0 - 5/3*d**3 + 10/3*d**n.
-5*d**2*(d - 1)*(d + 2)/3
Let p(a) be the third derivative of -a**6/540 + 16*a**5/135 + 103*a**4/108 + 70*a**3/27 + 711*a**2. Factor p(v).
-2*(v - 35)*(v + 1)*(v + 2)/9
Let w = 120616012/387 - 311668. Let r = -36/43 + w. Factor 0 + 1/9*f - r*f**2.
-f*(4*f - 1)/9
Let o(w) = w**3 + 58*w**2 + 229*w + 268. Let k(y) = y**3 + 62*y**2 + 228*y + 267. Let u(m) = -2*k(m) + 3*o(m). Factor u(v).
(v + 2)*(v + 3)*(v + 45)
Let i be ((-246)/205)/(3/30) - (-200)/16. Factor -10 + 1/2*p + i*p**2.
(p - 4)*(p + 5)/2
Let u = -8761 + 1708397/195. Let f(l) be the second derivative of -u*l**6 + 0 + 2/13*l**4 - 12/13*l**3 + 0*l**2 + 11/130*l**5 - 1/273*l**7 - 23*l. Factor f(o).
-2*o*(o - 2)**2*(o + 3)**2/13
Let k be 10 + (141 - 148 - (-46 + -3)*6/(-102)). Factor 0*r + 18/17*r**4 + 0 + 0*r**2 + k*r**5 - 20/17*r**3.
2*r**3*(r - 1)*(r + 10)/17
Suppose -3*p = 3*g - 78, p + 2*p - 3*g = 66. Suppose -4*d - 3*k + p - 1 = 0, 0 = -4*d + k + 3. Determine v so that v**2 + 58*v + v**d + 80 + 3*v**2 - 18*v = 0.
-4
Let u(w) = -2*w**2 - 25*w + 118. Let t(b) = b**2 + 8*b + 13. Let n be t(-2). Let z(q) = q**2 + q + 1. Let k(o) = n*u(o) + 3*z(o). Suppose k(s) = 0. What is s?
11
Let h(u) = -2*u**3 + 2*u**2 - 2*u. Let z = -85 + 88. Let g(q) = -2*q**3 + q**2 - 3*q. Let s(n) = z*h(n) - 2*g(n). Factor s(v).
-2*v**2*(v - 2)
Let u(o) be the third derivative of -198*o**2 + 3/2*o**3 - 289/40*o**6 + 0*o - 43/8*o**4 + 0 + 119/12*o**5. Let u(b) = 0. What is b?
3/17, 1/3
Let s(v) be the third derivative of v**7/42 + 41*v**6/6 - v**5/12 - 205*v**4/6 + 1265*v**2. Solve s(l) = 0.
-164, -1, 0, 1
Let k(w) be the first derivative of 2*w**3/3 + 109*w**2 - 444*w + 1271. What is y in k(y) = 0?
-111, 2
Let n(c) be the first derivative of c**3/15 + 19*c**2/2 - 194*c/5 + 1148. Factor n(w).
(w - 2)*(w + 97)/5
Suppose 4*t - 3*h + 6 = 0, -57*t + 3*h - 3 = -52*t. Factor -12/7*l**t - 22/7 - 46/7*l**2 - 8*l.
-2*(l + 1)**2*(6*l + 11)/7
Let 8*o**2 - 4*o**4 - 24/5*o + 0 + 2*o**3 - 6/5*o**5 = 0. Calculate o.
-3, -2, 0, 2/3, 1
Let q(f) = f**2 + 22*f + 40. Let d be q(-20). Suppose 0 = 3*z - 15 - d. Solve 4*i**4 - 2*i**5 - 6*i**4 + 7*i**z + 7*i**4 - 10*i**3 = 0 for i.
-2, 0, 1
Suppose 64*a - 57*a = 28. Factor 2*v**2 + 10*v**2 - a*v**2 - 3*v**2.
5*v**2
Let m(v) = 15*v**2 + 155*v - 165. Let u(q) = 8*q**2 + 77*q - 82. Let h(o) = 9*o - 6. Let x be h(1). Let p(w) = x*m(w) - 5*u(w). Factor p(b).
5*(b - 1)*(b + 17)
Let m be (-135)/1708 + 38/152. Let v = m + 7/61. Factor 4/7*b**3 - 2/7 - v*b**4 - 2/7*b**5 - 2/7*b + 4/7*b**2.
-2*(b - 1)**2*(b + 1)**3/7
Let y be (36/16)/(6 - (-225)/(-40)). Let s be (6 + -6)*y/(-12). Let 2*q - 1/4*q**4 + s*q**3 + 3/2*q**2 + 3/4 = 0. Calculate q.
-1, 3
Let -2/7*b**2 - 104/7*b - 200/7 = 0. What is b?
-50, -2
Let q be 6*2/(-20)*-2. Suppose -70 = -7468*n + 7433*n. Suppose -8/5*w - 2/5*w**n - q = 0. What is w?
-3, -1
Find o, given that -4/5*o**4 + 4/5*o**3 - 4/5 + 8/5*o**2 - 2/5*o - 2/5*o**5 = 0.
-2, -1, 1
Let c be (-8)/(-6)*519/346. Let s(l) be the first derivative of -4/3*l**3 + 0*l - 4 - 4*l**c. Factor s(b).
-4*b*(b + 2)
Solve 0 - 687/5*o + 3/5*o**2 = 0.
0, 229
Let g = -10 - -15. Suppose g*n - 9*n = -24. Find q, given that -2*q**4 - 8*q**4 + 4*q**5 + n*q**4 = 0.
0, 1
Suppose -p + 142 = c + 4*c, -4*c = 2*p - 308. Factor -103*z**2 - 53*z**2 - 3*z**4 - 261*z - 63*z**3 - 102 - p*z**2 + 99*z**2.
-3*(z + 1)**2*(z + 2)*(z + 17)
Let w(v) = 4*v + 54. Let q be w(-13). Suppose q*d + 37 - 43 = 0. Factor 1503*n**2 - 1515*n**2 + 6*n**3 - d*n**3 + 12*n.
3*n*(n - 2)**2
Suppose -10*v + 160 - 60 = 0. Let j be 2/(-4)*-4 + 2. Factor -v*o**4 + 2*o**3 + 21*o**4 - 3*o**5 - 4*o**3 - 18*o**j + 1 + 5*o + 6*o**2.
-(o - 1)*(o + 1)**3*(3*o + 1)
Let v be 1188 + -1191 + 3*(2 - 1). Factor 0 + 13/7*m**2 - 1/7*m**4 - 1