 - (138775/429)/35)*-21. What is r in -58/11*r + 2/11*r**2 + f = 0?
1, 28
Factor 0*a + 1/2*a**2 + 0 + 5/4*a**3 + a**4 + 1/4*a**5.
a**2*(a + 1)**2*(a + 2)/4
Let u(r) be the second derivative of -r**7/63 + r**6/5 + r**5/5 - 31*r**4/9 + 25*r**3/3 - 9*r**2 - 1701*r. Suppose u(x) = 0. Calculate x.
-3, 1, 9
Suppose 5*w = 4*c + 39, 503 - 518 = -3*w + c. Determine l so that 3/5*l**w + 0*l**2 + 0*l + 0 = 0.
0
Let c(p) be the first derivative of 4/3*p**3 - 119 + 2*p**2 - 1/4*p**4 - 16*p. Determine x so that c(x) = 0.
-2, 2, 4
Solve 45 - 76 - 9*r**3 + 4*r**3 - 239 + 535*r - 260*r**2 = 0.
-54, 1
Let x = -3423/2 - -1712. Let a(t) be the third derivative of 2/3*t**3 + 0 - x*t**4 + 1/12*t**5 + 0*t + 9*t**2. Find g such that a(g) = 0.
2/5, 2
Suppose -1696*m + 8*m**2 - 684 + 4*m**5 - 319*m**2 - 53*m**3 + 84*m**4 + 292*m - 369*m**2 + 173*m**3 = 0. Calculate m.
-19, -3, -1, 3
Let x(b) be the first derivative of -b**3/15 - 21*b**2/5 + 288*b/5 + 1346. Find t, given that x(t) = 0.
-48, 6
Suppose 2*t = -d + 17, -d - 2*t = d - 32. Suppose 8*i - 5*i = d. Determine q so that -15*q - 8 + 3 - i - 5*q**2 = 0.
-2, -1
Let u be (-1144)/143 + (-1 + 1)/(-2). Let q = -5 - u. Factor 3*y**2 + 0 + 0*y + 3*y**4 + 15/2*y**q.
3*y**2*(y + 2)*(2*y + 1)/2
Let q(b) be the third derivative of -b**5/100 - 1307*b**4/60 + 872*b**3/15 - 5*b**2 + 11*b - 9. Let q(z) = 0. What is z?
-872, 2/3
Let d(g) be the first derivative of g**4/2 - 422*g**3/3 - 425*g**2 - 426*g - 5690. Suppose d(c) = 0. Calculate c.
-1, 213
Let m = -1/32757 - -98278/229299. Suppose -m*p**3 - 12/7 + 9/7*p**2 + 0*p = 0. What is p?
-1, 2
Let 116 + 130/7*b + 2/7*b**2 = 0. What is b?
-58, -7
Let h(a) be the third derivative of 1/7*a**7 + 5/336*a**8 + 0*a**3 + 258*a**2 + 0*a - 1/2*a**5 + 0 - 1/3*a**6 + 35/24*a**4. Factor h(y).
5*y*(y - 1)**2*(y + 1)*(y + 7)
Let 16/7 + 6/7*m**2 - 20/7*m = 0. Calculate m.
4/3, 2
Suppose 3*i = -5*z + 18, z + 21 + 4 = 2*i. Suppose 5*d - i - 29 = 0. Factor 461*v - 466*v + d*v**3 - 3*v**3.
5*v*(v - 1)*(v + 1)
Find u such that -2*u**3 - 29713*u + 180078*u + 4*u**3 - 22067*u + 1074*u**2 + 63948*u + 11470678 = 0.
-179
Let x be (-44)/231 + 56/(-588) + (-120)/(-28) + -2. Solve -20/7*a**x + 0 - 2/7*a**3 - 50/7*a = 0 for a.
-5, 0
Let s(r) be the third derivative of r**7/70 + 7*r**6/8 + 96*r**5/5 + 287*r**4/2 - 784*r**3 - 31*r**2 - 18. Determine d so that s(d) = 0.
-14, -8, 1
Suppose 0 = 69*b - 62*b + 56. Let t be (-9)/((-180)/b)*(-250)/70. Determine u, given that 1/7*u**5 - 10/7*u**4 + 0 + t*u**2 - 25/7*u + 24/7*u**3 = 0.
-1, 0, 1, 5
Let s(f) be the third derivative of -f**5/24 + 675*f**4/16 + 2035*f**3/6 - 4855*f**2. Let s(u) = 0. What is u?
-2, 407
Let k(n) be the second derivative of 62*n - 1/24*n**4 + 0 - 256*n**2 - 16/3*n**3. Factor k(q).
-(q + 32)**2/2
Let v(g) be the first derivative of -143/4*g**2 + 2*g**4 - 9*g + 117 - 140/3*g**3. Let v(a) = 0. What is a?
-1/4, 18
Determine i so that 184/5 + 2/5*i**3 - 2/5*i - 184/5*i**2 = 0.
-1, 1, 92
Factor -10*j**4 - 121 + 22*j**5 + 111 - 7*j**5 + 67*j**2 - 5*j - 50*j**3 - 7*j**2.
5*(j - 1)**3*(j + 2)*(3*j + 1)
Suppose -g - 3*v = 2044 - 2009, -2*g + 2*v + 34 = 0. Let 39/2*f**3 - 39/2*f + 3/2*f**g - 18 + 33/2*f**2 = 0. What is f?
-12, -1, 1
Let j(s) be the second derivative of -s**8/1344 - 5*s**7/504 - s**6/18 - s**5/6 + 31*s**4/4 - 82*s. Let c(u) be the third derivative of j(u). Factor c(h).
-5*(h + 1)*(h + 2)**2
Let f(z) = 11*z - 55. Let b be f(6). Factor b + 3*g**3 - 7 + 9*g**2 - 1 + 9*g.
3*(g + 1)**3
Let h(v) be the third derivative of 1/120*v**5 + 0*v**3 - 3 + 22*v**2 + 0*v**4 + 0*v - 1/240*v**6. Factor h(t).
-t**2*(t - 1)/2
Let c be 18865/(-175) + 108 + 1/(15/2). Let d be 4/6 + (-16)/(-6). Factor c*f**3 - 8/3*f**2 - d + 17/3*f.
(f - 5)*(f - 2)*(f - 1)/3
Let k = -112 - -117. Factor -7*i - 895*i**5 + 69*i**4 - 27*i**2 + 7*i - 90*i**3 + 883*i**k.
-3*i**2*(i - 3)**2*(4*i + 1)
Let a(y) be the first derivative of -1/3*y**3 + 11/12*y**2 + 79 + 1/24*y**4 - y. Find x, given that a(x) = 0.
1, 2, 3
Let u(a) be the second derivative of 405224/5*a**2 + 0 + 37/5*a**4 + 5476/5*a**3 - 176*a + 1/50*a**5. Suppose u(i) = 0. Calculate i.
-74
Find c such that 365*c + 271 - 2839*c**2 + 89 + 2844*c**2 = 0.
-72, -1
Let b(k) be the third derivative of k**8/56 - 4*k**7/21 - 191*k**6/180 - k**5/45 + 43*k**4/9 + 8*k**3 - 25*k**2 - 11*k. Let b(p) = 0. What is p?
-2, -2/3, 1, 9
Let p(x) be the second derivative of -64*x**2 + 136/3*x**3 + 2/5*x**5 + 2/15*x**6 - 1 - 13*x**4 + 34*x. Factor p(y).
4*(y - 4)*(y - 1)**2*(y + 8)
Let j(n) be the third derivative of n**8/360 - n**7/168 + n**6/1080 + 31*n**3/3 + 7*n**2. Let z(x) be the first derivative of j(x). Solve z(q) = 0 for q.
0, 1/14, 1
Let l(t) be the first derivative of -2/15*t**3 + 3*t**2 - 3 + 0*t. Solve l(r) = 0.
0, 15
Let o = -551186 - -2204745/4. Let -3/2*x**2 - o*x**3 + 0*x + 0 = 0. Calculate x.
-6, 0
Let g = 820 + -820. Let l(r) be the second derivative of -2*r - 1/57*r**3 + 0*r**2 + 1/57*r**4 + g. Find w such that l(w) = 0.
0, 1/2
Let r(v) be the third derivative of 3/56*v**4 + 0 + 0*v + 0*v**3 + 1/20*v**5 + 1/56*v**6 + 1/490*v**7 + 66*v**2. Let r(n) = 0. What is n?
-3, -1, 0
Let r(p) be the second derivative of 0*p**2 - 2*p - 2*p**3 + 25 + 5/3*p**4. Let r(s) = 0. Calculate s.
0, 3/5
Let g be (2/9)/(290/522). Let q(u) be the second derivative of 0 - 1/15*u**6 + g*u**5 - 13*u + 0*u**3 - 2/3*u**4 + 0*u**2. Factor q(x).
-2*x**2*(x - 2)**2
Factor 2/7*s**4 + 38/7*s**3 - 18*s**2 - 44/7 + 130/7*s.
2*(s - 1)**3*(s + 22)/7
Factor -3*h**3 - 156*h + 137*h + 4*h**3 + 239*h + 112*h**2.
h*(h + 2)*(h + 110)
Factor 225*j - 282*j**2 + 652*j**2 + 5*j**3 - 320 - 295*j**2 + 15*j.
5*(j - 1)*(j + 8)**2
Let h(a) = -1172*a - 51568. Let z be h(-44). Suppose z*n**2 + 0*n + 0*n**3 - 5*n**5 + 10/3*n**4 + 0 = 0. What is n?
0, 2/3
Let n be (4/10)/((-18)/15)*-81. Find w such that -42*w**4 - 132*w**3 + 12*w**5 - n*w**2 - 47*w + 47*w - 51*w**4 = 0.
-1, -1/4, 0, 9
Let n(h) be the first derivative of 3/8*h**4 + 0*h**2 + 0*h + 59 + 1/2*h**3. Suppose n(u) = 0. What is u?
-1, 0
Let w(n) be the third derivative of 18/13*n**3 + 0*n + 0*n**5 + 0 + 1/780*n**6 - 9/52*n**4 - 262*n**2. Let w(k) = 0. Calculate k.
-6, 3
Let c(v) be the second derivative of -v**5/120 + v**4/12 + v**3/4 - 7*v**2/6 - 5*v + 220. Let c(b) = 0. What is b?
-2, 1, 7
Let r = 1250275 + -8737781/7. Let o = r + -2020. Suppose 4/7 + 2/7*d + o*d**3 - 10/7*d**2 = 0. Calculate d.
-1/2, 1, 2
Let y(s) = -39*s**2 - 717*s + 747. Let m(x) = -30*x**2 - 538*x + 561. Let u(k) = 9*m(k) - 7*y(k). Factor u(j).
3*(j - 1)*(j + 60)
Let f(x) be the first derivative of -1/6*x**3 - 11/24*x**4 - 3 - 41*x + 0*x**2. Let m(v) be the first derivative of f(v). Suppose m(w) = 0. Calculate w.
-2/11, 0
Determine h so that 0 - 9*h**3 + 1/3*h**5 - 8*h - 50/3*h**2 + 0*h**4 = 0.
-4, -1, 0, 6
Find f such that -24*f + 1/2*f**3 - 46 + 45/2*f**2 = 0.
-46, -1, 2
Let h(l) be the second derivative of -7*l**5/10 - 65*l**4/14 + 4*l**3/21 - 224*l - 1. Determine m so that h(m) = 0.
-4, 0, 1/49
Factor 1228*g - 12190 + 1975*g + 2615*g + 6367*g + 3*g**2 + 2*g**2.
5*(g - 1)*(g + 2438)
Let d(p) be the first derivative of 0*p - 3/4*p**4 - 1/2*p**6 + 21/5*p**5 + 111 - 27*p**2 - 27*p**3. Find v such that d(v) = 0.
-1, 0, 3, 6
Let g(m) = -38*m + 11. Let l be g(1). Let w be (12/(l/9))/(8/(-6)). Find s such that -1/2*s**w + 0 + 0*s + 1/2*s**2 = 0.
0, 1
Let v(g) be the third derivative of 0*g**4 + 1/120*g**5 - 1/12*g**3 + 36*g**2 + 0*g + 0. Factor v(m).
(m - 1)*(m + 1)/2
Let z be ((-4)/2 + (-5)/(-5))*272/(-85). Let -z*g + 14/5 + 2/5*g**2 = 0. Calculate g.
1, 7
Let 487*u - 171 + 5 - 26 - 86 - u**2 - 208 = 0. Calculate u.
1, 486
Let p(c) = -10*c**4 + 145*c**3 - 70*c**2 - 271*c - 38. Let q(d) = 2*d**4 + d**3 - d**2 - d + 1. Let l(k) = p(k) - 4*q(k). Determine b so that l(b) = 0.
-1, -1/6, 2, 7
Let y be 60/(-7)*(2 - (-1826)/(-836)). Suppose -6/19*n**2 - 26/19*n + y + 2/19*n**3 = 0. What is n?
-3, 1, 5
Factor -1/4*f**4 - 27*f**2 - 80 + 17/4*f**3 + 76*f.
-(f - 5)*(f - 4)**3/4
Let o(r) be the first derivative of -1/30*r**6 + 0*r**2 + 1/15*r**3 + 8 + 0*r - 1/25*r**5 + 1/20*r**4. Factor o(f).
-f**2*(f - 1)*(f + 1)**2/5
Suppose -3*h - 7607 = -v - 7591, 2*v = 32. Determine b, given that -14/11*b**2 + 2/11*b**5 - 6/11*b**3 + 6/11*b**4 + 12/11*b + h = 0.
-3, -2, 0, 1
Let