
-2, -2/3, -2/5, 1
Let f(s) be the first derivative of 12*s**5/5 + 91*s**4 + 2380*s**3/3 + 258*s**2 - 1512*s - 3186. Determine x, given that f(x) = 0.
-21, -9, -1, 2/3
Let r(q) = -q**5 + q. Let i(l) = 3*l**5 - 18*l**4 + 108*l**3 - 216*l**2 - 2*l. Let d(n) = 3*i(n) + 6*r(n). Let d(p) = 0. What is p?
0, 6
Let w be 3/((-198)/(-336)) + (-1)/11. Factor 146*m + 10*m**2 - 71*m - 107 - w*m**3 - 73.
-5*(m - 3)**2*(m + 4)
Let j(z) = -6*z + 12*z**3 + 16*z**2 - 4*z**2 - 4*z**4 + 2*z. Let w(p) = -p**3 - p**2. Let k = 3539 - 3540. Let x(c) = k*j(c) - 8*w(c). What is o in x(o) = 0?
-1, 0, 1
Let x = 559699/9 - 62187. Factor -x*o - 4/9*o**2 + 0 + 2/9*o**3.
2*o*(o - 4)*(o + 2)/9
Let t = -704 + 485. Let j = -437/2 - t. Factor 5/4*p**2 + 0 - 3/4*p**3 - j*p.
-p*(p - 1)*(3*p - 2)/4
Suppose 105*g = -533*g - 57 + 1971. Factor -6/5*z**2 + 0 - 16/15*z - 2/15*z**g.
-2*z*(z + 1)*(z + 8)/15
Let m(w) = w**2 - 18*w - 17. Let i be m(19). Find a, given that 0*a**3 + 2825*a**4 - 2*a**5 + a**3 - i*a**2 - 2823*a**4 + a**5 = 0.
-1, 0, 1, 2
Let n be (8/14)/(81/567). Let g(i) = -12*i**2 - 24*i + 36. Let y(a) = a**3 - a**2 - a + 1. Let o(s) = n*y(s) + g(s). Factor o(t).
4*(t - 5)*(t - 1)*(t + 2)
Let y(t) be the third derivative of -t**7/70 + 97*t**6/40 - 333*t**5/2 + 11475*t**4/2 - 94500*t**3 - 640*t**2. Suppose y(s) = 0. Calculate s.
7, 30
Let g be 4*(-47)/(-141) + (-48)/36. Let -4/9*y**3 + 0*y - 4/9*y**4 + g + 16/3*y**2 = 0. Calculate y.
-4, 0, 3
Let l(k) = -9*k - 122. Let b be l(-14). What is f in 54*f - 14*f + 64 + 2*f**b - 48 + 3*f**3 + 11*f**3 + 36*f**2 = 0?
-2, -1
Let h be 63 + (-20987)/4433*13. Factor 2/11*x**2 + h*x + 14/11.
2*(x + 1)*(x + 7)/11
Let w(x) be the first derivative of 896*x**5/45 - 1184*x**4/9 + 7064*x**3/27 - 410*x**2/3 - 100*x - 2836. Solve w(z) = 0.
-3/14, 5/4, 3
Let j(g) be the first derivative of 9*g**5/4 - 15*g**4/2 + 25*g**3/6 + 10*g**2 + 179*g - 353. Let l(n) be the first derivative of j(n). Factor l(o).
5*(o - 1)*(3*o - 4)*(3*o + 1)
Factor 2/17*k**3 - 44/17*k + 38/17*k**2 - 80/17.
2*(k - 2)*(k + 1)*(k + 20)/17
Let y(k) be the second derivative of 2/3*k**4 - 1/180*k**6 + 20/3*k**2 - 1/30*k**5 - 49*k - 28/9*k**3 + 0. Determine z, given that y(z) = 0.
-10, 2
What is o in 48*o**3 + 224*o**4 - 677*o**4 + 1500 - 45*o**2 + 229*o**4 - 1500*o + 221*o**4 = 0?
-5, 1, 10
Let k be 12 - (3 - 9/(-1)). Let a(i) be the second derivative of 0*i**2 + k + 1/50*i**5 - 20*i + 1/15*i**3 - 1/15*i**4. Factor a(w).
2*w*(w - 1)**2/5
Let w(s) = 17*s**3 + 1580*s**2 + 1886*s - 19. Let x(v) = v**3 - 16*v**2 - 1. Let z(u) = -2*w(u) + 38*x(u). What is i in z(i) = 0?
-1, 0, 943
Let v(m) be the first derivative of -5*m**2 - 4/5*m**5 - 11/4*m**4 + 43/3*m**3 + 0*m - 53. Determine w, given that v(w) = 0.
-5, 0, 1/4, 2
Let o be ((-1)/12)/(8 - 582/72). Let z(d) = -d**4 - d**3 - d**2 + d. Let c(j) = 5 - 6*j**2 - 5. Let r(t) = o*c(t) - 3*z(t). Factor r(x).
3*x*(x - 1)*(x + 1)**2
Solve 9*f**2 - 650*f + 180 + 233*f - f**2 + 11*f**2 + 8*f**2 = 0.
4/9, 15
Let o(a) be the second derivative of -a**4/4 + 410*a**3 - 252150*a**2 + 12*a - 3. Find z such that o(z) = 0.
410
Suppose -3*z = -0*z + 4*x - 17, -4 = 2*z - 5*x. Factor -n**3 + 5*n**z - 78 - 36*n**2 - 30 + 108*n.
4*(n - 3)**3
Suppose -l - 3*n = 2*l - 21, 0 = -3*l - 4*n + 25. Factor -2*k**l + 8 - 5459*k - 6*k**2 + 5459*k.
-2*(k - 1)*(k + 2)**2
Let z(a) be the first derivative of 3*a + 2*a**2 + 1/3*a**3 - 61. Factor z(f).
(f + 1)*(f + 3)
Let p(i) = 12*i**2 + 10 + 1 - 11 + 57*i**3 - 5*i - 46*i**3. Suppose h - 5 = -0*h. Let z(m) = 6*m**3 + 6*m**2 - 3*m. Let g(k) = h*z(k) - 3*p(k). Factor g(q).
-3*q**2*(q + 2)
Let s(z) = z**2 + 273*z - 232. Let n(h) = -6*h**2 - 1350*h + 1160. Let f(c) = 3*n(c) + 14*s(c). Find u, given that f(u) = 0.
-58, 1
Let m(i) be the third derivative of i**9/1512 - i**7/140 - i**6/90 - 89*i**3/3 - 69*i**2. Let r(s) be the first derivative of m(s). What is n in r(n) = 0?
-1, 0, 2
Factor 2*j**3 + 12/5*j**2 - 2*j - 1/5*j**4 - 11/5.
-(j - 11)*(j - 1)*(j + 1)**2/5
Let n(l) = -2*l**4 - l**2 - l + 2. Let o(v) = -57*v**4 - 246*v**3 - 267*v**2 + 30*v + 108. Let g(w) = 6*n(w) - o(w). Solve g(i) = 0.
-4, -1, 8/15
Let z(p) = -488*p + 34650. Let w be z(71). Find r such that 6/5*r + 0*r**w - 3/5*r**4 + 3/5 - 6/5*r**3 = 0.
-1, 1
Let r(w) be the second derivative of -1 + 4/15*w**6 + 1/10*w**5 + 33*w - 7/6*w**4 - 1/3*w**3 + 3*w**2. Factor r(f).
2*(f - 1)*(f + 1)**2*(4*f - 3)
Let w(v) = -2*v**3 + 26*v**2 + 32*v - 54. Let j be w(14). Let x(a) be the first derivative of -8/3*a + 1/3*a**4 - 2*a**j + 0*a**3 + 16. Let x(k) = 0. What is k?
-1, 2
Let j(p) be the first derivative of 0*p + 1/60*p**5 + 1/12*p**4 + 13 - 1/2*p**3 - 4*p**2. Let x(m) be the second derivative of j(m). Factor x(y).
(y - 1)*(y + 3)
Let -12*l**5 - 263*l**3 + 10*l**5 - 156*l**3 - 14*l**4 + 575*l**3 = 0. What is l?
-13, 0, 6
Let w be 0 - (56/(-2))/2. Suppose -10*t = -w*t + 36. Factor 21*q - 5*q - 3*q**2 - t*q - q + 24.
-3*(q - 4)*(q + 2)
Let a be ((-36)/(-16))/(60/32). Suppose 11 = -2*w + 5*h, 3*h + 1 = 5*w - 0*h. Determine y, given that 1/5*y**w + a*y - 7/5 = 0.
-7, 1
Determine r, given that 17/5*r**3 + 292/5*r + 172/5*r**2 + 32/5 = 0.
-8, -2, -2/17
Let d(r) be the third derivative of -73*r**5/20 + 125*r**4/8 - 26*r**3 - 1119*r**2 - 2*r. Factor d(m).
-3*(m - 1)*(73*m - 52)
Let w(f) be the second derivative of 7/24*f**4 + 9/4*f**2 - 7 - 4*f - 4/3*f**3. Solve w(t) = 0.
1, 9/7
Let n = -5331305/21346 - 147/1642. Let q = 250 + n. Let 0 + q*j**3 + 0*j + 2/13*j**2 = 0. Calculate j.
-1, 0
Let 321100/11*z + 372/11*z**3 + 2/11*z**4 - 4943250/11 + 21840/11*z**2 = 0. Calculate z.
-65, 9
Let y(d) be the third derivative of -d**8/1848 - 13*d**7/1155 - d**6/30 + d**5/165 + 23*d**4/132 + d**3/3 - 1844*d**2. Determine p, given that y(p) = 0.
-11, -1, 1
Let c(o) be the third derivative of o**6/360 - 37*o**5/90 + 1505*o**4/72 - 2450*o**3/9 - 2*o**2 - 663*o + 10. Factor c(m).
(m - 35)**2*(m - 4)/3
Let g = -336431 + 336431. Factor 0 - 6/7*w**2 + g*w**3 + 2/7*w**4 + 4/7*w.
2*w*(w - 1)**2*(w + 2)/7
Suppose -3*n + 5 = 6 - 19. Let y(j) be the third derivative of -9/280*j**n + 21*j**2 + 0*j**4 - 1/70*j**5 + 0*j + 0 + 0*j**3. Factor y(c).
-3*c**2*(9*c + 2)/7
Let m = 452955 + -9512051/21. Let 10/7*y**3 - 2/21*y**5 - m*y**4 + 0 + 32/21*y + 64/21*y**2 = 0. What is y?
-4, -1, 0, 4
Let h = 7090 + -7090. Let a(y) be the third derivative of h - 1/30*y**5 + 0*y**3 + 0*y - 1/180*y**6 - 1/18*y**4 - 14*y**2. Factor a(k).
-2*k*(k + 1)*(k + 2)/3
Solve 19*b**3 - 72*b**2 - 63*b**3 - 4*b**4 + 40507*b - 40507*b = 0.
-9, -2, 0
Let t(b) be the first derivative of -1/90*b**4 - 1/45*b**3 - 2 + 2*b + 0*b**2. Let s(v) be the first derivative of t(v). What is g in s(g) = 0?
-1, 0
Let l(q) = -q**3 - 159*q**2 - 1498*q - 44. Let r be l(-10). Let y(j) be the first derivative of 3/14*j**2 + 1/7*j**3 + r + 0*j. Factor y(v).
3*v*(v + 1)/7
Let i(b) = -b**5 - 39*b**4 - 474*b**3 + 5324*b**2 - 5. Let q(s) = s**5 + 59*s**4 + 712*s**3 - 7986*s**2 + 7. Let v(p) = 7*i(p) + 5*q(p). Solve v(z) = 0 for z.
-11, 0, 11
Let n be (-22*14/(-2464))/(5/(-6) + 1). What is w in 3/4*w - n*w**2 + 1/2 - 1/2*w**3 = 0?
-2, -1/2, 1
Let n(u) = -7*u**4 - 1930*u**3 + 5835*u**2 - 5849*u + 1945. Let s(b) = 8*b**4 + 1928*b**3 - 5836*b**2 + 5852*b - 1944. Let x(q) = -4*n(q) - 3*s(q). Factor x(m).
4*(m - 1)**3*(m + 487)
Factor 3*q**3 - 36*q - 366*q**2 + 378*q**2 - 252*q.
3*q*(q - 8)*(q + 12)
Factor -14*o**3 + 17*o**2 - 508997 - 48*o - 2*o + 28*o**2 + 4*o**3 + 509012.
-5*(o - 3)*(o - 1)*(2*o - 1)
Let m be 4/10 - (-4)/(-10). Suppose -5*x = -m*x - 20. Suppose -2*t**2 - 18*t**4 - 4*t**3 + t**4 + 23*t**x = 0. Calculate t.
-1/3, 0, 1
Let -454/9*a**2 + 460/9*a - 2/9*a**3 + 304/3 = 0. What is a?
-228, -1, 2
Let o(n) = n**3 + 8*n**2 - 9*n + 2. Let u be o(-9). Let r be (5/2)/(1/u). Factor 28*z**r + 3*z**3 - 4*z**3 - 27*z**5.
z**3*(z - 1)*(z + 1)
Let o(m) be the third derivative of -m**7/735 - 5*m**6/2 - 524*m**5/35 - 1571*m**4/42 - 349*m**3/7 + 3*m**2 - 21. Find y, given that o(y) = 0.
-1047, -1
Let m(b) be the first derivative of b**4/4 + 10*b**3 - 144*b**2 + 608*b + 1461. Factor m(z).
(z - 4)**2*(z + 38)
Let i = -21723/119735 + 54/311. Let q = 443/385 + i. Factor 4/7*c + 0 + q*c**2 + 4/7*c**3.
4*c*(c + 1)**2/7
Let o(w) be the second derivative of -w**5/220 - 7*w**4/11 + 57*w**3