*n**3 + 114. Factor u(p).
(p + 1)*(p + 3)**2*(11*p - 2)
Suppose -2746/13*y**3 - 11840/13*y - 250/13*y**4 + 192/13 - 9956/13*y**2 = 0. Calculate y.
-4, -3, 2/125
Suppose 5*q = -2*k + 485, 0 = k + 2*q - 6*q - 249. Suppose -3*a - k = -10*a. Find n, given that 3*n + 39*n**2 + a*n**2 + 41*n**2 - 117*n**2 - n**3 = 0.
-3, 0, 1
Let o(a) be the third derivative of a**7/840 + a**6/480 - a**5/15 - a**4/24 + 2*a**3 + 5*a**2 - 59*a. Determine f, given that o(f) = 0.
-4, -2, 2, 3
Determine y so that -1635/7 - 3/7*y**2 - 234*y = 0.
-545, -1
Suppose 6 + 16 = 2*j. Let h(c) = -13*c**2 - 65*c + 94. Let n(d) = -7*d**2 - 33*d + 46. Let t(s) = j*n(s) - 6*h(s). What is i in t(i) = 0?
-29, 2
Let n(k) = -2*k**2 - 28*k - 95. Let b be (9 - 5) + (-4)/2. Let s(j) = 81 + 2*j**b + 28*j + 73 - 60. Let h(t) = -4*n(t) - 3*s(t). Factor h(p).
2*(p + 7)**2
Let j(i) be the first derivative of -i**3/3 - 3*i**2/2 + 3*i - 7. Let a be j(0). Let -5*b - 15 + 2*b**a - 20*b + 3*b**3 - 5*b**2 = 0. What is b?
-1, 3
Suppose 0*t - 5*t + 5 = 5*f, -5*f + 14 = 2*t. Let n be f + (5 - 78/10)/2. Factor 12/5*j + 4/5 + n*j**2 + 1/5*j**4 + 6/5*j**3.
(j + 1)**2*(j + 2)**2/5
Let m = -102470471/623117445 + -65/217493. Let p = -6/191 - m. Solve 0 - p*j**2 - 2/15*j = 0.
-1, 0
Let o(a) be the first derivative of 57*a**4 - 40*a**3/3 - 64*a**2 - 1133. Let o(p) = 0. What is p?
-2/3, 0, 16/19
Let n be (3 - (-1)/5)/((-40)/700). Let o be n/(-21)*(-2 - (-26)/10). Factor 4/5*y**5 + 4/5*y**3 + 0*y**2 + 0*y + o*y**4 + 0.
4*y**3*(y + 1)**2/5
Let r(m) be the second derivative of 3*m**7/10 + 59*m**6/25 - 87*m**5/10 - 163*m**4/5 - 307*m**3/10 - 63*m**2/5 + 8*m + 19. What is l in r(l) = 0?
-7, -1, -1/3, -2/7, 3
Let l(z) be the second derivative of 16*z**7/105 - 24*z**6/25 + 9*z**5/50 + 163*z**4/30 + 5*z**3 + 9*z**2/5 + 78*z. Find a, given that l(a) = 0.
-1, -1/4, 3
Let r be 9/(-12) + ((-258)/8)/(-3). Let m be 7*(22/(-14) - r/(-5)). Factor u**4 - 12*u**2 + 16*u**m + 0*u**4 - 40*u - 5*u**4 + 24*u + 16.
-4*(u - 2)**2*(u - 1)*(u + 1)
Suppose -5*p + 5*h + 0*h + 35 = 0, -4*h - 22 = -p. Factor p - 4 + 0 - 3*w + 3*w**2 - 4*w**2.
-(w + 1)*(w + 2)
Factor 2/5*k**2 + 238/5*k - 48.
2*(k - 1)*(k + 120)/5
Let a(d) be the second derivative of 216*d**2 - 6/5*d**6 - 33*d**4 + 40 + 1/21*d**7 - 36*d**3 + 107/10*d**5 - 3*d. Factor a(g).
2*(g - 6)**3*(g - 1)*(g + 1)
Let j(o) = 2*o**3 + 8 + 0*o - 11*o**2 - 11*o**3 + 10*o**3 - 4*o. Let m(c) = -4*c**3 + 43*c**2 + 15*c - 32. Let y(d) = 22*j(d) + 6*m(d). Factor y(g).
-2*(g - 8)*(g - 1)*(g + 1)
Let a(h) be the third derivative of -h**5/80 + 61*h**4/32 + 63*h**3/4 + 1584*h**2. Factor a(v).
-3*(v - 63)*(v + 2)/4
Let f(s) be the second derivative of -s**5/10 - 19*s**4/6 + 88*s**3/3 - 92*s**2 - 46*s + 20. Let f(i) = 0. What is i?
-23, 2
Let h(g) be the third derivative of -g**5/15 - 130*g**4/3 + 1048*g**3/3 + 7*g**2 - 4*g + 3. Find t, given that h(t) = 0.
-262, 2
Let d = 647361/560 + -1156. Let q(a) be the third derivative of -d*a**8 + 0*a**3 - 1/40*a**6 + 0*a + 1/50*a**5 - 5*a**2 + 0*a**4 + 2/175*a**7 + 0. Factor q(h).
-3*h**2*(h - 2)*(h - 1)**2/5
Let b(q) be the third derivative of -1/720*q**6 - 8*q**2 - 2/3*q**3 + 1/240*q**5 + 0 + 0*q + 0*q**4. Let f(c) be the first derivative of b(c). Factor f(n).
-n*(n - 1)/2
Suppose -2 + 42 = 10*j. Let q be (-452)/(-12) - (-2)/(-3). Factor q*r**2 - r - j*r**4 + 6*r**3 - 33*r**2 - 5*r**3.
-r*(r - 1)*(r + 1)*(4*r - 1)
Let r(i) = -i**2 - 10*i + 5. Let g be r(-11). Let s(p) = -p**3 - 2*p**2 + p - 1. Let a(c) = -5*c**3 - 18*c**2 + 11*c - 6. Let j(q) = g*s(q) + a(q). Factor j(l).
l*(l - 5)*(l - 1)
Let q(x) be the first derivative of x**6/9 + 14*x**5/15 + 11*x**4/6 - 38*x**3/9 - 20*x**2 - 24*x + 3470. Find a, given that q(a) = 0.
-3, -2, -1, 2
Let l(h) be the first derivative of -2/11*h**2 + 0*h + 1/22*h**4 + 118 - 2/33*h**3. Solve l(n) = 0.
-1, 0, 2
Suppose 0 = 2*b - 3*i - 7, -3 - 1 = 4*i. Let n be (51/(-3) - 0)/(-1). Factor -o - 3*o - 16*o**b + n*o**2.
o*(o - 4)
Let q(r) = -r - 1. Let n(s) = -s**3 - 81*s**2 - 862*s - 2482. Let o(d) = -3*n(d) - 6*q(d). Find t such that o(t) = 0.
-69, -6
Let d(j) be the second derivative of -5*j**4/12 + 805*j**3/6 + 405*j**2 + 6679*j - 2. Find b such that d(b) = 0.
-1, 162
Let h(d) be the second derivative of d**5/390 - 7*d**4/39 + 9*d**3/13 + 79*d**2/2 - 8*d. Let k(r) be the first derivative of h(r). Factor k(n).
2*(n - 27)*(n - 1)/13
Let s(b) = b**2 - 6*b - 1037. Let l be s(-30). Let v(p) be the second derivative of 5/3*p**3 - l*p - 5/12*p**4 + 0*p**2 + 0. Factor v(k).
-5*k*(k - 2)
Let g(s) = 9*s**2 + 25*s + 25. Let w be ((-2)/4 - 1) + (-76)/8. Let c(y) = -3*y**2 - 8*y - 8. Let n(v) = w*c(v) - 4*g(v). Determine z, given that n(z) = 0.
-2
Let k = 193/255 + 16253/3570. Let f = k - -1/42. Factor 7/3*j**3 + 5/3*j**2 + 4/3 - f*j.
(j - 1)*(j + 2)*(7*j - 2)/3
Let t(d) = 61*d**4 - 5*d**3 + 27*d**2 - 25*d + 8. Let p(h) = 51*h**4 - 6*h**3 + 27*h**2 - 25*h + 8. Let u(r) = 6*p(r) - 5*t(r). What is g in u(g) = 0?
1, 8
Let u(k) = -10*k**4 + 18*k**3 + 18*k**2 - 14*k - 6. Let v(j) = j**3 + j + 1. Let c = -226 - -227. Let s(w) = c*u(w) - 2*v(w). Find h such that s(h) = 0.
-1, -2/5, 1, 2
Let v(a) = -a**3 - 7*a**2 + 4. Let t = 1008 + -1015. Let p be v(t). Factor -480*f**2 - 5/4*f**p + 40*f**3 - 5120 + 2560*f.
-5*(f - 8)**4/4
Let w(h) = 10*h**3 + 48*h**2 + 29*h - 12. Let n(z) = 59*z**3 + 288*z**2 + 176*z - 70. Let i = -31 + 25. Let p(r) = i*n(r) + 34*w(r). What is k in p(k) = 0?
-6, -1, 1/7
Let a(m) be the first derivative of m**6/14 - 3*m**4/7 - 275. Factor a(z).
3*z**3*(z - 2)*(z + 2)/7
Let l be 11/(-33)*10/(-6). Let x(v) be the first derivative of -1/12*v**4 - 1/15*v**5 - 14 + l*v**3 - 1/2*v**2 + 0*v. Factor x(g).
-g*(g - 1)**2*(g + 3)/3
Let i = -536452 - -3755168/7. Let -2/7*w**2 + i*w - 2/7 = 0. Calculate w.
1
Let g(y) be the first derivative of 3/25*y**5 + 0*y - 1/20*y**4 + 1/5*y**2 - 1/30*y**6 - 66 - 1/5*y**3. Let g(a) = 0. What is a?
-1, 0, 1, 2
Let d be (-74)/(-88) + (-3)/(-2) + 131/((-198858)/2415). Factor d*t**4 + 0 - 1/2*t**3 - 1/2*t - 7/4*t**2.
t*(t - 2)*(t + 1)*(3*t + 1)/4
Determine c so that 4293/2*c**3 + 1500 - 2187/2*c**5 - 1050*c + 1458*c**4 - 2955*c**2 = 0.
-1, 10/9
Let a(r) be the third derivative of 6*r**7/7 - 7*r**6/10 - 28*r**5/15 + 2*r**4/3 - 96*r**2 - 4*r. Find d such that a(d) = 0.
-2/3, 0, 2/15, 1
Suppose -81*a - 4 = -85*a. Factor -35 + 39*g + 18*g - 24*g**2 + 3*g**3 - a.
3*(g - 4)*(g - 3)*(g - 1)
Factor 10377*h**2 + 10696876 + 989308499 - 11964681*h + 3598420356 - 3*h**3.
-3*(h - 1153)**3
Let x = 164 + -116. Factor -8*d - 34*d**2 - 3*d**2 + x + 38*d**2 - 6*d.
(d - 8)*(d - 6)
Let v = -84978 - -594862/7. Factor -2/7*u**2 - v*u + 0.
-2*u*(u + 8)/7
Let c(n) be the second derivative of -n**4/54 - 26*n**3/27 + 272*n**2/9 - 7*n + 70. Suppose c(u) = 0. What is u?
-34, 8
Let i be (-384)/(62/(-8) - -4). Let a = i - 102. Factor 0*o - a*o**2 + 2/5.
-2*(o - 1)*(o + 1)/5
Let a(k) = 44*k**2 + 639*k + 2106. Let w(p) = -181*p - 648*p - 11*p**2 - 2104 - 29*p**2 + 191*p - 3*p**2. Let s(g) = 6*a(g) + 5*w(g). Solve s(u) = 0.
-46/7
Let a = -683 - -691. Let y(u) be the third derivative of 0*u + 1/180*u**5 + 1/18*u**4 - 2/9*u**3 + 0 - 1/360*u**6 - a*u**2. Let y(n) = 0. Calculate n.
-2, 1, 2
Let a be 424/56 + 9/21. Let q be (-16)/(-128) - (-15)/a. Factor -3/4*r**q + 9/4 + 3/2*r.
-3*(r - 3)*(r + 1)/4
Let n(u) be the first derivative of -2*u**3/3 - 531*u**2 + 1064*u + 9571. What is z in n(z) = 0?
-532, 1
Let v = 183509/3 - 61169. Factor v*m**2 - 2 + 4/3*m.
2*(m - 1)*(m + 3)/3
Let a(x) be the third derivative of 0 - 1/100*x**5 - 1/20*x**4 + 0*x**3 + 0*x - 28*x**2. Solve a(l) = 0 for l.
-2, 0
Let t(f) be the second derivative of 5*f**4/12 - 73*f**3/3 + 33*f**2/2 + 15*f. Let h(n) = -5*n**2 + 146*n - 35. Let g(c) = 2*h(c) + 3*t(c). Factor g(q).
(q - 29)*(5*q - 1)
Let i(n) be the second derivative of 0*n**2 - n + 1/4*n**5 - 4 + 0*n**3 + 0*n**6 + 0*n**4 - 5/168*n**7. Solve i(p) = 0.
-2, 0, 2
Factor 22*p + 135*p**3 - 12089*p**5 + 12094*p**5 + 29*p**2 + 45*p**4 + 126*p**2 - 12*p + 50*p.
5*p*(p + 1)**2*(p + 3)*(p + 4)
Let -90*z**2 - 3/2*z**3 - 93 + 369/2*z = 0. Calculate z.
-62, 1
Let z be ((-7986)/132 - -25) + 36. Factor 11/2*o + 9 + z*o**2.
(o + 2)*(o + 9)/2
Suppose 0 = -28*z - 12386 - 8446. Let h = -742 - z. Suppose 2/5*n + n**h + 0 = 0. What is n?
-2/5, 