+ 96)/5
Let j = -55702 - -55704. Let i(k) = -2*k - 9. Let d be i(-6). Factor -3/8*c**j + 3/8*c**d + 0 - 3/4*c.
3*c*(c - 2)*(c + 1)/8
Factor -234225*q - 435290*q - 2283145491 + 8171636*q + 3*q**3 - 8217*q**2.
3*(q - 913)**3
Suppose -49 = 3*z + 23. Let g be 31/7 - z/42. Factor 6*x**3 - 10*x**3 - 3*x**5 + 7*x**g + 0*x**5.
4*x**3*(x - 1)*(x + 1)
Let h(t) be the first derivative of 4/15*t**5 + 29/6*t**2 - 16/9*t**3 + 1/18*t**6 - 173 - 4*t - 1/2*t**4. Factor h(b).
(b - 1)**3*(b + 3)*(b + 4)/3
Let a be (9/5)/((-27)/(-225)). Find v such that -5*v**3 - a*v**3 - 4*v**4 - 12*v**2 + 16 + 24*v - 4*v = 0.
-4, -1, 1
Let d(s) be the first derivative of 1/24*s**4 + 5/6*s**3 - 45 + 9/4*s**2 + 13/6*s. Let d(c) = 0. What is c?
-13, -1
Let h(t) be the third derivative of -t**7/1260 + 3*t**6/80 - 31*t**5/60 + 17*t**4/9 + 16*t**2 + 9. Factor h(y).
-y*(y - 17)*(y - 8)*(y - 2)/6
Let s(c) be the third derivative of -c**8/504 + 34*c**7/315 - 13*c**6/36 + 16*c**5/45 + 2*c**2 + 29*c. Determine q, given that s(q) = 0.
0, 1, 32
Let j(d) be the third derivative of -13/140*d**7 + 23/160*d**6 - 1/56*d**8 + 0*d**4 + 0*d**3 - 1/20*d**5 + 0*d - 5 + 6*d**2. Let j(u) = 0. Calculate u.
-4, 0, 1/4, 1/2
Let y(b) = b**3 - 4*b. Let t be y(0). Suppose t = -2*j + 8, 0*i + 5*j = i + 17. Factor 5*c**2 + 12 + c**i + 8*c**3 - 14*c**2 - 6*c**3.
3*(c - 2)**2*(c + 1)
Suppose u - 142 + 4 = 0. Suppose u = -7*p + 13*p. Factor -76*n - 1 + 27*n**2 - p + n**2 + 0.
4*(n - 3)*(7*n + 2)
Let x(u) be the first derivative of -u**3/3 + 33*u**2/2 + 280*u - 4645. Factor x(f).
-(f - 40)*(f + 7)
Suppose -5*j = -39*j - 4*j. Let j*n - 1/4*n**4 - 3/2*n**3 - 5/4*n**2 + 0 = 0. What is n?
-5, -1, 0
Let f(z) be the third derivative of z**5/60 + 43*z**4/24 - 2*z**2 - 409*z + 3. Factor f(u).
u*(u + 43)
Let l(i) be the second derivative of i**4/3 - 14*i**3/3 + 12*i**2 - 1048*i. Let l(g) = 0. What is g?
1, 6
Factor -1043*y + 8779*y**2 + 19600 + 46*y**3 + y**4 - 571*y - 8530*y**2 - 4826*y.
(y - 5)**2*(y + 28)**2
Factor 1276*t**2 + 420 - 1606*t**2 + 600 - 306*t + 5*t**3 - 389*t.
5*(t - 68)*(t - 1)*(t + 3)
Let h(t) be the third derivative of t**5/210 - 160*t**4/7 + 307200*t**3/7 + t**2 + 2*t - 242. Factor h(n).
2*(n - 960)**2/7
Let t = 297640 - 297638. Find m, given that 0 - 9*m - 21/2*m**t + 3/2*m**4 + 0*m**3 = 0.
-2, -1, 0, 3
Let b(p) be the second derivative of p**6/12 - 4*p**5/15 - 11*p**4/3 - 16*p**3/3 - 27*p**2/2 - 2*p + 3. Let s(t) be the first derivative of b(t). Factor s(j).
2*(j - 4)*(j + 2)*(5*j + 2)
Factor 2*w**2 - 1/3*w**3 + 0 - 5/3*w.
-w*(w - 5)*(w - 1)/3
Let l(j) be the second derivative of 5*j**4/12 - 95*j**3/2 + 140*j**2 - 4002*j. Let l(y) = 0. What is y?
1, 56
Find m, given that -367*m - 48*m**2 - 36 + 21*m**3 - 7*m**2 + 99*m - 12 - 25*m**2 = 0.
-2, -4/21, 6
Let u(a) = 4*a**2 + 7*a - 3. Let v(k) = 2 + 18*k - 19*k - 3*k**2 + 2*k**2. Let c(l) = 2*u(l) + 6*v(l). Factor c(f).
2*(f + 1)*(f + 3)
Determine a, given that 143*a**2 - 98*a**2 - 786*a - 45*a**4 + 828*a - 3*a**5 - 39*a**3 = 0.
-14, -1, 0, 1
Suppose -7392*l + 7391*l = -2*c + 6, 4*c + 4*l = 0. Find w such that -6/5*w**3 + 2/5*w**4 + 0*w**c + 0*w + 0 = 0.
0, 3
Let m(a) be the third derivative of 0*a - 10/11*a**3 - 13/132*a**4 - 1/330*a**5 - 154*a**2 + 0. Solve m(s) = 0 for s.
-10, -3
Let a(d) be the first derivative of -5*d**4/36 + 5*d**2/6 + 7*d + 94. Let o(v) be the first derivative of a(v). Factor o(g).
-5*(g - 1)*(g + 1)/3
Suppose -252 + s**5 + 132*s**3 - 5026*s**4 - 3*s**5 - 450*s - 104*s**2 + 5062*s**4 = 0. Calculate s.
-3, -1, 2, 21
Let q(k) be the first derivative of 3/8*k**3 + 3/2*k + 159 + 3/16*k**4 - 3/2*k**2 - 3/40*k**5. Solve q(c) = 0.
-2, 1, 2
Factor -392/17 + 54/17*b**2 + 2/17*b**3 + 336/17*b.
2*(b - 1)*(b + 14)**2/17
Suppose -3*c = 2*c + 5*g - 40, -3*c = -g - 4. Let h(y) be the second derivative of 9*y + 8/3*y**2 + 289/9*y**4 - 136/9*y**c + 0. Factor h(z).
4*(17*z - 2)**2/3
Let c be ((-34)/(-4) - 1) + ((-711)/(-79) - 4). Factor -3 + 25/4*m + c*m**2.
(5*m + 4)*(10*m - 3)/4
Let b = 1913/21 + -3223/7. Let z = 371 + b. Suppose 25/6*v - 35/6*v**2 + z = 0. What is v?
-2/7, 1
Let d(m) = -m**2 + 38. Let a be d(6). Suppose -4*s - a = -14. Factor 2/17*w**s - 2/17*w - 2/17 + 2/17*w**2.
2*(w - 1)*(w + 1)**2/17
Let t(p) be the first derivative of -p**4/16 + 5*p**3/3 + 12*p**2 + 7030. Suppose t(a) = 0. Calculate a.
-4, 0, 24
Let s(n) be the first derivative of -1/9*n**6 + 0*n**4 + 0*n + 0*n**3 + 0*n**2 - 2/15*n**5 + 239. Find g such that s(g) = 0.
-1, 0
Suppose 0 = -3*m - 3*r + 3, 35*r + 6 = -3*m - 23. Let 3/4*y**m + 675 - 45*y = 0. Calculate y.
30
Let z(p) = 6*p**2 + 3515*p - 3087050. Let w(b) = -7*b**2 - b + 1. Let q(s) = 5*w(s) + 5*z(s). Factor q(a).
-5*(a - 1757)**2
Let y = 144256 - 144252. Factor 1/4*h**y + 0*h - 7/2*h**2 + 0 - 5/4*h**3.
h**2*(h - 7)*(h + 2)/4
Let v be (1 - -9)*(-696)/(-48). Factor -8*l**5 + 2*l**5 - 9 + 49 + 11*l**5 + 395*l**3 + v*l**4 + 260*l + 15*l**5 + 490*l**2.
5*(l + 1)*(l + 2)**3*(4*l + 1)
Let w(p) = -p**2 + 10*p + 16. Let q be w(11). Suppose c - 3*j - q - 4 = 0, 0 = -4*j + 12. Solve -56*b + 68*b**2 - 2 - 3 - 11 - c*b**3 = 0.
-2/9, 2
Factor 9*b**4 + 121*b + 39*b + 3*b**4 - 30*b**3 - 2*b**4 - 5*b**4.
5*b*(b - 4)**2*(b + 2)
Let m(w) be the second derivative of -7*w - 7/10*w**3 - 3/100*w**5 - 6 + 9/10*w**2 + 1/4*w**4. Factor m(p).
-3*(p - 3)*(p - 1)**2/5
Let t(n) be the first derivative of 2*n**5/5 - 39*n**4/2 + 794*n**3/3 - 285*n**2 - 1444*n - 624. What is p in t(p) = 0?
-1, 2, 19
Let t(g) be the second derivative of -1/12*g**4 + 27 - 1/6*g**3 + 2*g + 6*g**2. Factor t(i).
-(i - 3)*(i + 4)
Let v(q) be the second derivative of -q**5/30 + q**4/3 - 35*q**2/2 + q - 71. Let y(j) be the first derivative of v(j). Find l such that y(l) = 0.
0, 4
Let r(k) = -2*k**2 - 79*k - 27. Let b be r(-38). Suppose 32*v - b = -23. Factor -2*m + 2/3 - 2/3*m**3 + 2*m**v.
-2*(m - 1)**3/3
Let t(a) be the first derivative of a**5 + 15*a**4/2 + 25*a**3/3 + 6311. Factor t(v).
5*v**2*(v + 1)*(v + 5)
Let l(n) = n**5 + 7*n**4 - 22*n**3 - 92*n**2 - 76*n - 4. Let p(j) = j**3 + j**2 + 3*j + 1. Let w(f) = -l(f) - 4*p(f). Suppose w(i) = 0. What is i?
-8, -2, -1, 0, 4
Solve -1/3*h**2 + 12*h + 1120/3 = 0.
-20, 56
Suppose -69 = -28*t + 15. Suppose -19*c + 51*c**t - c**2 + 1412 - 32*c - 1418 + 7*c**2 = 0. What is c?
-1, -2/17, 1
Suppose -g = 4*m - 6, 3*m - 3*g - 13 + 1 = 0. Find w such that -2 - 11*w + 24*w - w**m - 4 - 6*w = 0.
1, 6
Let v(a) be the first derivative of a**6/42 + 6*a**5/35 + a**4/7 - 8*a**3/7 - 16*a**2/7 - 2001. Suppose v(d) = 0. Calculate d.
-4, -2, 0, 2
Determine s so that -36/5*s - 46/5*s**2 + 2/5*s**4 + 0*s**3 + 16 = 0.
-4, -2, 1, 5
Let p be (-103)/(-28) - 2/8. Let c = 105315 - 737199/7. Find x such that -18/7*x**2 + 0*x + p - c*x**3 = 0.
-2, 1
Suppose 21/4*f - 1/4*f**2 - 17 = 0. Calculate f.
4, 17
Let o(j) be the first derivative of -134 - 70*j - 45/2*j**2 - 5/3*j**3. Factor o(h).
-5*(h + 2)*(h + 7)
Let g(p) be the first derivative of -4*p**3/3 + 138*p**2 + 280*p - 28. Factor g(w).
-4*(w - 70)*(w + 1)
Let c(l) = 326*l + 5544. Let p be c(-17). Let m(v) be the first derivative of -1/4*v**3 - 3/4*v**p + 2 + 0*v. Solve m(f) = 0.
-2, 0
Suppose 12 = 3*y + 2*f, 18 = 3*y + 5*f + 6. Find m such that 67 + 49 - 104*m**3 + 175*m**2 - y*m**4 + 123*m**2 - 344*m + 38*m**2 = 0.
-29, 1
Let h(q) be the third derivative of 51*q + 1/30*q**6 + 1/15*q**5 - 8/3*q**3 - 2*q**2 - 2/3*q**4 + 0. Factor h(f).
4*(f - 2)*(f + 1)*(f + 2)
Factor 36414*k + 50*k**3 + 1/3*k**4 - 132651 + 2448*k**2.
(k - 3)*(k + 51)**3/3
Let y(o) = o**3 - 10*o**2 + 8*o + 13. Let h be -6 + 11 + 3 + 1. Let x be y(h). Suppose 187*g**2 + x*g - 8*g**3 - 199*g**2 + 4*g**3 + 12 = 0. Calculate g.
-3, -1, 1
Let u = -35345 + 35361. Let t(h) be the third derivative of -1/60*h**5 + 1/6*h**3 + 0*h**4 + u*h**2 + 0*h + 0. Factor t(a).
-(a - 1)*(a + 1)
Let z(u) be the second derivative of -u**6/15 - 2*u**5/5 + 13*u**4/2 - 18*u**3 + 1793*u. Suppose z(i) = 0. What is i?
-9, 0, 2, 3
Let d(q) = 8*q**2 - 188*q - 572. Let r(k) = 3*k**2 - 2*k - 1. Let p(i) = 2*d(i) - 4*r(i). Solve p(z) = 0.
-3, 95
Let i(o) be the second derivative of -o**7/63 - 17*o**6/45 + 29*o**5/10 + 49*o**4/18 - 286*o**3/9 + 56*o**2 - 3*o + 1590. Let i(w) = 0. Calculate w.
-21, -2, 1, 4
Let c(j) be the third derivative of -1/90*j**5 + 1/6*j**3 + 1/9