5
Let q(l) = -2*l**2 + 312*l - 6333. Let u be q(132). Let -16/7 - 90/7*g**u - 88/7*g - 156/7*g**2 = 0. Calculate g.
-2/3, -2/5
Let h(y) be the third derivative of 0 + 2/5*y**4 + 59*y**2 - 1/150*y**5 - 48/5*y**3 + 0*y. Solve h(a) = 0.
12
Let x(j) = -j**2 - 32*j - 113. Let q(v) = -22. Let l(z) = -5*q(z) - 5*x(z). Suppose l(i) = 0. Calculate i.
-27, -5
Suppose 373 = 118*q - 240 + 141. Determine b, given that -7/5*b**2 + 0 + 2/5*b - b**q + 9/5*b**3 + 1/5*b**5 = 0.
0, 1, 2
Solve 694*d**3 - 6781 + 939994 + 274*d**3 + 694056*d - 144892 + 119996*d**2 + 2*d**4 + 239857 = 0 for d.
-239, -3
Let v(g) = 20*g**2 + 5*g - 6. Let j be v(4). Factor q**5 + j*q**3 + 2*q**4 - 334*q**3 - q - 2*q**2.
q*(q - 1)*(q + 1)**3
Factor 40129 - 3*c - 36*c**2 - 2*c**3 - 39925 - 19*c.
-2*(c - 2)*(c + 3)*(c + 17)
Let b be -8 + 6 + 5 + (0 - 1). Let i(t) = -47 + t**3 - 5*t + 88 + 10*t**b - 47. Let f(j) = -j**2 + 1. Let v(p) = 36*f(p) + 4*i(p). Determine l so that v(l) = 0.
-3, 1
Let -176*x**2 + 2/9*x**4 + 130/3*x**3 + 1592/9*x + 0 = 0. Calculate x.
-199, 0, 2
Let w = -202 - -220. Factor -w*l - 9469 - 3*l**2 + 9469.
-3*l*(l + 6)
Suppose 0 = -5*h + n + 7, 28*n + 11 = 4*h + 29*n. Let j(d) be the third derivative of 0*d + 3*d**h - 1/240*d**5 + 0*d**4 - 1/480*d**6 + 0 + 0*d**3. Factor j(u).
-u**2*(u + 1)/4
Let p(k) be the second derivative of -k**4/42 - 89*k**3/21 + 90*k**2/7 - 2*k - 335. Factor p(s).
-2*(s - 1)*(s + 90)/7
Let u(w) be the third derivative of -w**5/15 - 14*w**4/3 + 913*w**2. Factor u(b).
-4*b*(b + 28)
Let u = -85 - -87. Suppose 4 = 2*s - b + 2, -u*b = s - 11. Factor -8 + z**2 - s + 8*z + 6 + 17.
(z + 2)*(z + 6)
Let s(g) be the third derivative of 5/6*g**3 - 133*g**2 + 512/21*g**7 + 0*g - 112/3*g**6 + 20*g**5 - 65/12*g**4 + 0. Factor s(z).
5*(2*z - 1)*(8*z - 1)**3
Let h(s) be the third derivative of s**7/126 - 3*s**6/8 + 25*s**5/36 + 15*s**4/8 - 65*s**3/9 + 245*s**2. Suppose h(m) = 0. What is m?
-1, 1, 26
Let g(r) be the second derivative of -2/15*r**6 + 0 + 7/3*r**2 + 174*r + 1/126*r**7 - 7/15*r**5 - 1/18*r**4 + 3/2*r**3. Solve g(q) = 0.
-1, 1, 14
Let v be -37 + 10 + 22 - (-7)/(-2)*3/(-2). What is q in 5/2*q - 6 + v*q**2 = 0?
-12, 2
Let k(i) be the third derivative of -i**8/2352 + 3*i**7/490 - i**6/42 - i**5/21 + 4*i**4/7 - 32*i**3/21 + 251*i**2. What is n in k(n) = 0?
-2, 1, 2, 4
Suppose 3*u - 18 = -3*t, 0 = 5*u - 19*t + 20*t - 14. Let l(d) be the second derivative of -1/9*d**4 + 1/9*d**3 + 0 + 0*d**u - 5*d. Factor l(g).
-2*g*(2*g - 1)/3
Let f = 297598 + -297596. Factor 114/5*v**f - 354/5*v + 36/5.
6*(v - 3)*(19*v - 2)/5
Let a(u) = -5*u**3 + 9*u**2 - 11*u + 5. Let z(n) = -26*n**3 + 177 + 0*n**2 - 56*n + 18*n**2 + 27*n**2 - 151. Let k(f) = 11*a(f) - 2*z(f). Factor k(r).
-3*(r - 1)**3
Let w(j) = j**2 - 2*j + 2. Suppose 14*s - 11 - 17 = 0. Let t be w(s). Find r, given that -5 - 2*r**3 + 8 + 2*r - t*r**2 - 1 = 0.
-1, 1
Let b(p) be the third derivative of -p**7/42 - 11*p**6/4 - 291*p**5/4 + 1485*p**4 - 9720*p**3 + 1034*p**2 + 1. Factor b(a).
-5*(a - 3)**2*(a + 36)**2
Let c = -41 + 44. Let j be ((-4)/c)/(120/(-270)). Solve -6/11*t**2 - 2/11*t**j + 4/11*t**4 + 2/11 + 2/11*t = 0.
-1, -1/2, 1
Let v be (-1)/(-1)*(5 - (4 + -2)). Let z be ((-3)/18)/((-1)/v). Factor -3/4*n + 0*n**2 - z + 1/4*n**3.
(n - 2)*(n + 1)**2/4
Factor 4*p**2 + 60*p + 116*p + 26 - 156 - 50.
4*(p - 1)*(p + 45)
Let y = 114482 - 1030334/9. Solve 256/9 - 64/3*u + y*u**5 + 20/3*u**4 + 188/9*u**3 - 316/9*u**2 = 0 for u.
-8, -1, 1
Let b(f) = f**3 + 2*f**2 + 4*f + 1. Let c(w) = 25*w**3 + 20*w**2 + 60*w + 30. Let s(g) = 30*b(g) - c(g). Factor s(i).
5*i*(i + 2)*(i + 6)
Let c(t) = 22*t**2 - 756*t + 782. Let x(o) = 3*o**2 + 5. Let b(u) = -c(u) + 6*x(u). Factor b(s).
-4*(s - 188)*(s - 1)
Let c = -131469 + 131474. Factor 1 + 3/2*z - 2*z**3 - z**2 + 0*z**4 + 1/2*z**c.
(z - 2)*(z - 1)*(z + 1)**3/2
Let t = 174 + -170. Suppose -490*r**5 - 12*r + 221*r**5 + 81*r**3 + 242*r**5 - 36*r**2 - 6*r**t = 0. Calculate r.
-2, -2/9, 0, 1
Let h(k) = 6*k**3 + 137*k**2 - 40*k - 391. Let p be h(-23). Factor -4 - 2/3*d**3 + 14/3*d + p*d**2.
-2*(d - 2)*(d - 1)*(d + 3)/3
What is v in 456/5 + 2/5*v**3 + 18*v**2 + 544/5*v = 0?
-38, -6, -1
Let t(i) = 2*i**2 + 27*i - 59. Let d(l) = -3*l**2 - 28*l + 71. Let w(x) = 3*d(x) + 4*t(x). Factor w(f).
-(f - 23)*(f - 1)
Let d(c) be the first derivative of -c**7/420 + c**5/60 - c**3 + 9*c + 128. Let p(y) be the third derivative of d(y). Factor p(m).
-2*m*(m - 1)*(m + 1)
Factor 380372 - 380372 - 5*j**2 + 10550*j.
-5*j*(j - 2110)
Suppose -880 = -45*d + 43*d. Let m = -416 + d. Factor -m*o**3 + 122/7*o**2 + 72/7*o**4 + 2/7 - 4*o.
2*(o - 1)**2*(6*o - 1)**2/7
Let z be (10/4)/(3/12). Suppose -52*s = -66*s + 56. Factor -9*r + 8 + s*r**4 - z*r**2 + 4*r**3 + 15*r - 10*r - 2*r**2.
4*(r - 1)**2*(r + 1)*(r + 2)
Let a(f) = -f**3 - f**2 - f - 1. Let w(i) = i**3 - 2*i**2 - i + 2. Let x = 53 + -29. Suppose -71*p = -67*p - x. Let n(k) = p*a(k) + 3*w(k). Factor n(y).
-3*y*(y + 1)*(y + 3)
Suppose -2*n = -3*b + 37, -n + 2 = b - 2. Factor 6*h - 137 + 137 + 3*h**3 - b*h**2 + 0*h**3.
3*h*(h - 2)*(h - 1)
Let g(r) = -17*r**3 - 211*r**2 - 6605*r - 39995. Let p(n) = -7*n**3 - 106*n**2 - 3302*n - 19998. Let i(y) = 2*g(y) - 5*p(y). Let i(s) = 0. What is s?
-50, -8
Let q be (-88313)/(-4) - -6*(-7)/168. Solve -261*o**2 - q + 215*o - 3*o**3 - 51089 - 7784*o = 0 for o.
-29
Let l be (33/(-44) - 0)/(12/(-64)). Let n(i) be the third derivative of -1/300*i**5 + 0 - 29*i**2 + 7/600*i**6 + 0*i - 7/120*i**l + 1/30*i**3. Factor n(v).
(v - 1)*(v + 1)*(7*v - 1)/5
Let j be 2/(-2 - 15/((-90)/24)). Let q be j/((-2)/(4/(-3)) - 1). Let 1/8*y**q - 1/8*y**4 + 1/8*y - 1/8*y**3 + 0 = 0. Calculate y.
-1, 0, 1
Let p(r) be the first derivative of 2*r**6/21 + 92*r**5/35 - 1153. What is y in p(y) = 0?
-23, 0
Let q(b) = -5*b**2 + 26*b - 41. Let f(r) = -16*r**2 + 78*r - 122. Let i(y) = -3*f(y) + 10*q(y). Factor i(n).
-2*(n - 11)*(n - 2)
Suppose 0 = 18474*d - 19004*d + 1060. Factor -1/6*l**d + 13/3*l + 0.
-l*(l - 26)/6
Let j = -102643/5 + 20531. Solve -4/5*d**2 + j*d - 8/5 = 0 for d.
1, 2
Let k(b) be the second derivative of b**4/18 - 21*b**3 - 27*b + 13. Determine x so that k(x) = 0.
0, 189
Suppose 1210*p + 467 - 3839 = 86*p. Suppose 2/3*q**5 + 8/3*q**2 - 4/3*q**4 - 4/3*q**p - 4/3 + 2/3*q = 0. Calculate q.
-1, 1, 2
Suppose 293 = 3*c + y, -4*c + 212 = 4*y - 184. What is x in -8966*x**2 + 4192*x + 2*x**5 - c*x**4 + 12673/8*x**3 - 512 = 0?
1/4, 16
Suppose -302*v - 8 = -304*v. Let j(h) = -h**3 + 49*h**2 - 83*h + 39. Let y(g) = -50*g**2 + 85*g - 40. Let q(p) = v*y(p) + 5*j(p). Suppose q(l) = 0. Calculate l.
1, 7
Suppose -3*l - 21 = 3*v, 0 = 3*l - 102*v + 99*v - 21. Find g such that 0 + l*g + 2/5*g**5 + 2/5*g**2 + 6/5*g**4 + 6/5*g**3 = 0.
-1, 0
Let w(m) be the third derivative of m**7/840 - m**6/32 - m**5/20 + 41*m**4/24 + 10*m**3 - 25*m**2 - 2*m + 13. Factor w(u).
(u - 15)*(u - 4)*(u + 2)**2/4
Let m(l) be the first derivative of -2*l**3/3 + 1770*l**2 - 1566450*l + 2016. Determine r so that m(r) = 0.
885
Let j(v) be the first derivative of v**9/5040 - 3*v**7/1400 - v**6/300 + v**3/3 + 18*v + 54. Let b(k) be the third derivative of j(k). Solve b(y) = 0 for y.
-1, 0, 2
Suppose -u - 2 = 0, 24*u + 22 = -4*g - 10. Let s(d) be the third derivative of 0 + 12*d**2 - 1/240*d**5 + 0*d**3 - 1/96*d**g + 0*d. Factor s(i).
-i*(i + 1)/4
Let r(q) be the first derivative of 4*q - 45 + 18/5*q**3 - 29/5*q**2 - 7/10*q**4 - 2/25*q**5. Factor r(o).
-2*(o - 1)**3*(o + 10)/5
Let t(f) be the second derivative of -3*f**2 + 2/3*f**3 - 1/5*f**5 + 1/2*f**4 - 31*f + 0. Factor t(j).
-2*(j - 1)*(j + 1)*(2*j - 3)
Factor -44/5 - 2/5*j**4 - 10*j**3 - 138/5*j**2 - 134/5*j.
-2*(j + 1)**3*(j + 22)/5
Let d be (2/5)/(50/375). Factor 87*x**4 - 10*x**d - 95*x**4 - 4*x**2 + 2*x**2.
-2*x**2*(x + 1)*(4*x + 1)
Let h(m) be the third derivative of -1/6*m**3 + 0 - 1/210*m**7 + 1/120*m**4 - 124*m**2 + 1/1680*m**8 - 1/300*m**6 + 1/30*m**5 + 0*m. Solve h(f) = 0.
-1, 1, 5
Let r(u) = 8214*u - 49278. Let s be r(6). Suppose 48/7*q**2 - s*q**3 + 6/7 + 18/7*q**4 - 3/7*q**5 - 27/7*q = 0. Calculate q.
1, 2
Let v(w) be the first derivative of 2*w**5/35 - 5*w**4/7 + 64*w**3/21 - 32*w**2/7 + 1374. Factor v(m).
2*m*(m - 4)**2*(m - 2)/7
Let m = 95972 - 191943/2. Factor m*x**3 - 5/2*x**2 + 4 + x.
(x - 4)*(x - 2)*(x + 1)/2
Let x be 28