/11*q = 0.
-104, 2, 4
Let u(v) = 148*v - 296. Let s be u(2). Let l(j) be the second derivative of 3/20*j**5 - 2*j**3 + s*j**2 - 3/4*j**4 + 0 + 13*j. Find o such that l(o) = 0.
-1, 0, 4
Let x be 40/(-150) - (19 + 6346/(-285)). Solve 0 + 20/7*c**2 + 4/7*c - 4/7*c**x - 20/7*c**4 = 0 for c.
-1, -1/5, 0, 1
Let n(d) be the first derivative of -3*d**4/4 - 11*d**3 - 21*d**2 + 240*d + 896. Factor n(p).
-3*(p - 2)*(p + 5)*(p + 8)
Let o(j) = 21*j**2 - 859*j - 1757. Let a(s) = 51*s**2 - 2148*s - 4392. Let w(h) = -5*a(h) + 12*o(h). Factor w(f).
-3*(f - 146)*(f + 2)
Let g(t) = 2*t**2 + 4*t - 332. Let o be g(-14). Let k(v) be the first derivative of -v**2 + 0*v + 1/6*v**6 - 3/4*v**o + 1/5*v**5 - 5/3*v**3 + 4. Factor k(j).
j*(j - 2)*(j + 1)**3
Let w(l) be the first derivative of -48/5*l + 16/5*l**3 - 9/25*l**5 + 0*l**2 + 1/10*l**6 + 152 - 3/5*l**4. Suppose w(v) = 0. What is v?
-2, -1, 2
Suppose 0 = 56*l + 427 + 245. Let s be 23 + l + 582/(-54). Suppose s*p**2 - 8/9 - 2/3*p = 0. Calculate p.
-1, 4
Let b(w) = 10*w**2 + 49*w - 19. Let n(m) be the third derivative of m**5/10 + 11*m**4/8 - 13*m**3/6 - 3*m**2 - 5. Let x(g) = -5*b(g) + 7*n(g). Factor x(v).
-2*(v + 2)*(4*v - 1)
Let u = 68/3299 - 7421355/92372. Let s = 564/7 + u. Factor 0 + w**2 - s*w**3 - w.
-w*(w - 2)**2/4
Suppose -5*d - 40 = 0, 8*d - 2*d - 2*d + 32 = -5*z. Factor 3/4*s + z*s**2 - 1/4*s**3 - 1/2.
-(s - 1)**2*(s + 2)/4
Let a = 3969 + -3967. Let k(t) be the second derivative of 0 + 5/3*t**3 + 1/12*t**4 + 25/2*t**a - 12*t. What is z in k(z) = 0?
-5
Suppose 3*q - 5*u = -0*q + 20, 14 = 2*q - 4*u. Let n = 24 + -20. Factor -2*w**n - 6*w**5 - w**2 + 5*w**q + 3*w**4 + w**3.
-w**2*(w - 1)**2*(w + 1)
Let j = 478 + -229. Factor -j*z**4 + 124*z**4 + 121*z**4.
-4*z**4
Suppose 0 = -19*j + 9*j. Find h such that 0*h + j*h - 7*h**5 + h**3 + 5*h**2 - 5*h**4 + 11*h**5 - 5*h**5 = 0.
-5, -1, 0, 1
Let i be (-10)/(-5 + 3) + 1*(180/40 + -5). Let -1/4*v**3 + i*v + 0 - 3/4*v**2 = 0. What is v?
-6, 0, 3
Suppose -4/5*i**3 + 8*i**2 + 272/5*i - 672/5 = 0. What is i?
-6, 2, 14
Let r(g) be the first derivative of g**6/15 - 66*g**5/25 + 59*g**4/10 + 62*g**3/5 - 7031. Determine x, given that r(x) = 0.
-1, 0, 3, 31
Let y = -21977/33 + 666. Let d(l) be the third derivative of 2*l**2 + 0 - 2/165*l**5 + 0*l**3 + 0*l - 1/660*l**6 - y*l**4. Determine b, given that d(b) = 0.
-2, 0
Let m = 790051 + -790049. Let 0 + 0*n + 3/2*n**4 + 9/2*n**m + 6*n**3 = 0. Calculate n.
-3, -1, 0
Suppose -5933 + 5903 = -t + 3*v, t - 2*v = 20. Factor -1/2*m**3 + t - 25/2*m + 5*m**2.
-m*(m - 5)**2/2
Suppose -2/11*a**2 - 30/11*a + 32/11 = 0. Calculate a.
-16, 1
Suppose j + 5*x + 6 = 0, -3*j + 20 = -10*x + 6*x. Suppose s - 3 = 1. Factor -13*k**2 - 2*k**j - 21*k**s - 7*k**5 - 27*k**3 + 0*k**3 - 2*k.
-k*(k + 1)**3*(7*k + 2)
Factor -240/7*d**2 - 192/7 - 6*d**3 + 744/7*d.
-6*(d - 2)*(d + 8)*(7*d - 2)/7
Let k be (9 - (-18)/(-2)) + (-2 - (-3 - 1)). Let m(n) be the second derivative of 0*n**k - 1/10*n**5 + 0 + 1/3*n**3 - 1/60*n**6 - 13*n + 1/24*n**4. Factor m(g).
-g*(g - 1)*(g + 1)*(g + 4)/2
Let x(l) be the first derivative of l**6/54 + 5*l**5/9 - l**4/9 - 100*l**3/27 - 5731. Find t, given that x(t) = 0.
-25, -2, 0, 2
Let o = 1/1229928 - -17921807/1229928. Factor 15 + o*y - 3/7*y**2.
-3*(y - 35)*(y + 1)/7
Let v = -97057/38 + 49070/19. Factor 1/2*s**3 + v*s**2 + 6859/2 + 1083/2*s.
(s + 19)**3/2
Let s = 309/116 - 305/1508. Factor 12/13*x + 2/13*x**3 - s + 18/13*x**2.
2*(x - 1)*(x + 2)*(x + 8)/13
Find a, given that 0 + 0*a + 92/7*a**4 + 0*a**2 + 4/7*a**5 - 312/7*a**3 = 0.
-26, 0, 3
Suppose -133*k + 344 = 145*k - 106*k. Factor 9*p + 3/5*p**3 + 21/5*p**k + 27/5.
3*(p + 1)*(p + 3)**2/5
Let s be (-2)/3 + (-3110)/(-10). Let g = s + -310. Determine r so that 5/12*r - g*r**2 + 1/12*r**3 - 1/6 = 0.
1, 2
Suppose 4*x - 4 = -2*h, 1062*x - 1058*x - 28 = 4*h. Solve 1/5*b**4 + 4/5*b - b**2 + 1/5*b**5 - b**x + 4/5 = 0.
-2, -1, 1, 2
Let i(b) = 2*b**2 - 14*b - 13. Let r be i(8). Suppose -81*g**4 - 74*g**4 + 159*g**4 + 250000*g + 400*g**r + 15000*g**2 + 1562500 = 0. Calculate g.
-25
Let i(u) = 16*u - 62. Let j(p) = -p + 2. Let a(b) = i(b) + j(b). Let z be a(4). Factor 0*d + z - 1/3*d**2 + 1/3*d**3.
d**2*(d - 1)/3
Solve 0*h + 14782905*h**2 + 1035*h**4 - 5/3*h**5 + 0 - 214245*h**3 = 0.
0, 207
Let r(t) be the first derivative of -t**6/720 - t**5/60 - t**4/18 - 19*t**2 + 20. Let b(g) be the second derivative of r(g). What is o in b(o) = 0?
-4, -2, 0
Suppose 0*y - 3*y = 2*g + 149, 2*g = 10. Let i be (-1)/(-2) + y/(-530). Factor -3/5*x**3 - i*x**2 + 0 + 0*x.
-3*x**2*(x + 1)/5
Suppose -113*h + 22*h = -223*h - 160*h. Let l(z) be the third derivative of 1/6*z**3 + h + 13*z**2 + 0*z + 0*z**4 - 1/60*z**5. What is o in l(o) = 0?
-1, 1
Suppose -28*x**3 - 8*x**2 + 8*x**2 - 1254*x**4 + 1258*x**4 + 24*x**2 = 0. Calculate x.
0, 1, 6
Let b(r) = 3*r**2 - 556*r + 595*r - 9 + 42. Let j(u) = -u**3 - u**2 + 1. Let s(g) = b(g) + 3*j(g). Find k, given that s(k) = 0.
-3, -1, 4
Factor 0 + 12*z**2 + 2/11*z**3 + 378/11*z.
2*z*(z + 3)*(z + 63)/11
Suppose 9*r + 2086 = 13597. Suppose 180 + 770*b**2 + r*b + 175*b**3 - 2074*b + 70*b**3 = 0. What is b?
-4, 3/7
Suppose -4*j - 497*r + 10 = -498*r, -2*j + 2*r = -2. Let -6/5*w + 0 + 4/5*w**5 - 2/5*w**4 - 22/5*w**2 - 22/5*w**j = 0. Calculate w.
-1, -1/2, 0, 3
Let k be (148/370 + 79/15)/((-5)/(-9)). Find v, given that -v + 31/5*v**2 - 4/5*v**5 + 0 + 29/5*v**4 - k*v**3 = 0.
0, 1/4, 1, 5
Let g = 24090 - 24090. Let y(c) be the third derivative of -29*c**2 + 0 + g*c**3 + 0*c**4 - 1/6*c**6 + 1/84*c**8 + 0*c + 2/105*c**7 + 1/5*c**5. Factor y(s).
4*s**2*(s - 1)**2*(s + 3)
Let w = 458 + -224. Let b be 1/(-3) + w/54. Factor -7*v**b + 12*v**4 + 14*v**3 - 4*v**3 + 5*v**2.
5*v**2*(v + 1)**2
Suppose 2778*m**2 - 1287 - 2775*m - 3*m**3 - 1161 + 2448 = 0. Calculate m.
0, 1, 925
Let z(c) = 2*c**2. Let p(t) = t**2 - 24*t - 11. Let q(a) = -a**2 - 2*a + 1. Let d(i) = -p(i) + 4*q(i). Let o(x) = -5*d(x) - 15*z(x). What is v in o(v) = 0?
-15, -1
Let v(k) be the third derivative of 0*k + 0 - 1/420*k**8 + 213*k**2 + 13/600*k**6 + 0*k**3 - 1/20*k**4 - 7/300*k**5 + 2/525*k**7. Let v(d) = 0. Calculate d.
-3/2, -1/2, 0, 1, 2
Let b(j) be the third derivative of j**5/180 - 17*j**4/72 - 624*j**2. Find v, given that b(v) = 0.
0, 17
Let x(b) = -6*b + 25. Let n be x(-4). Suppose 10*w + 156 = n*w. Suppose -3*q**w - 9/2*q**5 + 0*q**2 + 3/2*q**3 + 0*q + 0 = 0. What is q?
-1, 0, 1/3
Let w(j) = 112*j**2 - 31813*j + 1420. Let i be w(284). Factor 43/4*r**2 + i - 1/4*r**3 + 0*r.
-r**2*(r - 43)/4
Suppose -1 + 288*d**3 + 8*d**2 - 144*d - 4*d**4 + 6 - 37 - 144*d**5 + 28 = 0. What is d?
-1, -1/36, 1
Find s, given that -363/2*s**3 + 0*s - 531*s**2 + 0 - 3/2*s**4 = 0.
-118, -3, 0
Suppose -2*o - 6*o = -2*o. Suppose -3*h + 3*p + 18 = o, h + 3*p = -0*h - 6. Factor 6/5*d + 0 - 3*d**2 - 21/5*d**h.
-3*d*(d + 1)*(7*d - 2)/5
Suppose 0 = -6*d - 232 + 340. Let m be (d/(-20))/(1/((-25)/30)). Determine v so that -m*v**2 + 15/2 - 27/4*v = 0.
-10, 1
Let t(x) = -48*x**3 + 188 - 14*x - x**5 - 191 + 11*x**4 + 46*x**2 + 3*x**4. Let w(q) = q**4 + q**3 - q**2 + 1. Let k(p) = -t(p) - 3*w(p). Factor k(v).
v*(v - 14)*(v - 1)**3
Let c(b) be the second derivative of 0 - 1/50*b**6 - 65*b + 1/2*b**3 - 3/20*b**5 + 0*b**2 + 1/20*b**4. Find t such that c(t) = 0.
-5, -1, 0, 1
Suppose -21*b - 22*b = -86. Let c be (0 - b)/(65/(-60)*6). Factor 2/13*j**2 - 2/13*j - c.
2*(j - 2)*(j + 1)/13
Let 556/11 - 558/11*j + 2/11*j**2 = 0. What is j?
1, 278
Let s(i) be the first derivative of -1/9*i**3 + 69 - 5/3*i**2 - 25/3*i. Let s(p) = 0. Calculate p.
-5
Solve -280/13 - 18/13*a**3 - 376/13*a - 154/13*a**2 = 0 for a.
-5, -2, -14/9
Suppose -3*h + 1847 = 5*p, 4*p = 3*h + 14 + 1469. Find y such that -107*y**2 - 301 - 1071*y + p - 5*y**3 + 671*y + 431 + 12*y**2 = 0.
-10, 1
Let w(t) = t**3 + t**2 + t - 1. Let z(k) = 53 - 1570*k**2 - 53*k + 7*k**3 + 1645*k**2 - 64*k. Let u(l) = 18*w(l) - 2*z(l). Find b, given that u(b) = 0.
1, 31
Let a be (-6)/(-8) + (-455)/(-364). Let q(m) = 14*m**2 + 41*m + 39. Let v(f) = 4*f**2 - f - 1. Let g(i) = a*q(i) - 6*v(i). Factor g(h).
4*(h + 1)*(h + 21)
Let h be (-26)/(-8) - (34265/8900 - 26/10). Factor -168/11*f + 72/11*f**h + 0 + 6/11*f**3.
6*f*(f - 2)*(f + 14)/11
Let o(h) = -h + 14. Let v be o(11). Factor -9*n**3 + 12*n**3 - 6*n**3 + v*n**5 - 8*