) + 30*r(p). Factor q(j).
-5*j*(j - 1)*(j + 1)*(j + 22)
Suppose 386 = 24*n - 46. Suppose 0 - 755*g**3 + 35*g**2 - n + 2*g - 17 + 750*g**3 + 3*g = 0. What is g?
-1, 1, 7
Let j be -61 + 19 + 24 - 111/(-6). Let -j*n**2 + 0*n + 0*n**4 + 1/4*n**5 - 3/4*n**3 + 0 = 0. Calculate n.
-1, 0, 2
Solve -5/4*v**4 - 305/4*v**3 - 360*v**2 - 565*v - 280 = 0 for v.
-56, -2, -1
Suppose 116/7*a**2 + 362/7*a + 244/7 - 2/7*a**3 = 0. What is a?
-2, -1, 61
Let q be 30 + (-3)/12*-1*8. Suppose -q*g - 8 = -34*g. Factor -9*x**5 - 2 + 72*x**2 + 5 - 22*x + 42*x**g - 11*x + 3 - 78*x**3.
-3*(x - 1)**4*(3*x - 2)
Let d(b) be the second derivative of -9*b**3 + 0*b**2 + 3/20*b**5 + 30*b - 17/4*b**4 + 0. Factor d(v).
3*v*(v - 18)*(v + 1)
Determine s, given that -160*s - 101*s**2 + 54*s - 166 - 134 - 101*s**2 + 200*s**2 = 0.
-50, -3
Let s(a) be the second derivative of a**5/20 + 7*a**4/3 - a**3/6 - 14*a**2 + 27*a + 3. Factor s(w).
(w - 1)*(w + 1)*(w + 28)
Let g be (-3)/6 - 687/(-1554). Let w = g - -379/2072. Factor -w*d**3 + 3/4*d**2 - 3/2*d + 1.
-(d - 2)**3/8
Let d(k) = -33*k**3 + 573*k**2 + 1932*k + 1794. Let f(u) = 5*u**3 - 82*u**2 - 276*u - 256. Let p(o) = -4*d(o) - 27*f(o). Factor p(m).
-3*(m + 2)**2*(m + 22)
Let -18*k**3 - 19*k**3 + 80*k**3 - 19*k**3 + 780*k**2 - 19*k**3 + 29625*k - 62410 = 0. Calculate k.
-79, 2
Let v(a) be the third derivative of a**7/1470 - a**6/840 - a**5/420 + a**4/168 + 2*a**2 - 6*a + 27. Factor v(t).
t*(t - 1)**2*(t + 1)/7
Let p = 2359 - 2356. Let t(m) be the first derivative of -3/5*m - 1/15*m**p - 2/5*m**2 + 3. Factor t(x).
-(x + 1)*(x + 3)/5
Let a = 1/248095 + 49618/248095. Factor 6/5*r - a*r**2 + 16/5.
-(r - 8)*(r + 2)/5
Suppose 3*g = 3*j + 5421, 2*g = -2*j + 2190 + 1408. Let r = g - 1801. Factor 2/13*k**r - 2 - 24/13*k.
2*(k - 13)*(k + 1)/13
Let -1196*d - 5*d**3 + 363*d**2 - 2013*d**2 - 1224*d - 191*d - 674*d - 1640 = 0. What is d?
-328, -1
Let j(r) = r**2 - 583*r + 7970. Let y be j(14). Determine n, given that -2 - 12*n - 57/2*n**2 - 39/2*n**y - 67/2*n**3 - 9/2*n**5 = 0.
-1, -2/3
Suppose 3*i + 3*t = 8*t + 158, -5*i = 4*t - 325. Let j = -56 + i. Solve -3 + 2*y - 4*y**j + 2*y**3 + 6*y**4 - 17 - 6*y**2 + 20 = 0.
-1, 0, 1/2, 1
Let z(f) = -483*f - 1932. Let y be z(-4). Let s(j) be the second derivative of 4/9*j**2 + 2/9*j**3 + 12*j - 1/270*j**6 + y - 1/60*j**5 + 1/54*j**4. Factor s(c).
-(c - 2)*(c + 1)*(c + 2)**2/9
Suppose -4*t = -11*h + 208, -161*h = -4*t - 166*h + 112. Factor 0 - 18/7*g - 2/7*g**t + 12/7*g**2.
-2*g*(g - 3)**2/7
Let u(k) be the third derivative of -2/15*k**7 + 0 - 58*k**2 + 0*k**4 - 1/3*k**5 + 11/30*k**6 + 1/84*k**8 + 0*k**3 + 0*k. Factor u(b).
4*b**2*(b - 5)*(b - 1)**2
Solve 459 + 800*z**2 + 1624*z - 104*z - 59 + 644*z**2 = 0 for z.
-10/19
Suppose 155*r**2 + r**3 - 156*r - 21*r + 40 - 13*r**3 - 13*r**3 + 19*r = 0. Calculate r.
2/5, 4/5, 5
Find h, given that -18/5*h**4 + 180*h**2 + 5289/5*h**3 - 882/5 - 5289/5*h = 0.
-1, -1/6, 1, 294
Let k be 1 - (-2 + 6 - -1720). Let v = -1720 - k. Find x such that -4/3 - x**2 - 10/3*x + 3/2*x**v = 0.
-2/3, 2
Suppose 3*a + 72 = 84*v - 81*v, -5*v + 120 = 3*a. Factor -g**2 + v*g - 3159 - 90 + 90*g.
-(g - 57)**2
Let k be ((1 - 2) + 1)*(455/(-1287) + 148/7326). Factor k - 162*v - 18*v**2 - 1/2*v**3.
-v*(v + 18)**2/2
Determine w so that -180 - 138*w - 5*w**3 - 102*w - 8865619*w**2 + 8865554*w**2 = 0.
-6, -1
Let a = -270 + 269. Let r(l) = 3*l**5 + 4*l**4 - 21*l**3 - 8*l**2 + 36*l + 24. Let i(x) = 2*x**4 - x**2. Let s(c) = a*r(c) + 2*i(c). Solve s(b) = 0 for b.
-2, -1, 2
Let f(t) = 8*t**2 - 344*t + 7748. Let u(x) = -855*x + 7006 + 509*x + 7*x**2 + 741. Let a(d) = 3*f(d) - 4*u(d). Factor a(y).
-4*(y - 44)**2
Let r be (1*2)/((-23)/46) + 16. Determine b, given that 327*b**2 - 9 - r*b**5 + 10*b**3 - 333*b**2 + 24*b + 39*b**4 - 46*b**3 = 0.
-3/4, 1
Let g be (-2 - (-21)/9)*9/1. Determine x, given that 5 - 3 - g + 144*x + 1 - 3*x**2 = 0.
0, 48
Let j(x) be the first derivative of 1/8*x**4 - 10*x + 1/4*x**3 + 1/4*x**2 + 1/40*x**5 - 16. Let c(v) be the first derivative of j(v). Find w such that c(w) = 0.
-1
Let a be 2403/2 + (90/5 - 11). Let y = a + -1208. Factor d + 0 + y*d**3 + 3/2*d**2.
d*(d + 1)*(d + 2)/2
Find c, given that -c**4 - 1365*c**2 + 3724 + 682*c - 3724 + 684*c**3 = 0.
0, 1, 682
Factor 1/2*j**2 - 313/2*j + 156.
(j - 312)*(j - 1)/2
Let d(b) be the third derivative of b**5/10 - 11*b**4/12 - 20*b**3/3 + 2*b**2 - 20*b + 11. What is m in d(m) = 0?
-4/3, 5
Factor 7560 + 77106*c + 5*c**3 + 2085*c**2 + 860 - 85506*c.
5*(c - 2)**2*(c + 421)
Let a(y) be the first derivative of 2*y**3/39 - 1626*y**2/13 + 250*y - 2953. Factor a(p).
2*(p - 1625)*(p - 1)/13
Let o(y) be the first derivative of -54*y - 83*y**3 - 109 + 27/4*y**4 + 2*y**6 + 63/5*y**5 - 279/2*y**2. What is a in o(a) = 0?
-3, -1, -1/4, 2
Let b be (-21)/(-2)*(-840)/(-49). Suppose 0 = -k - k + b. Let 127*i - 22*i - 40*i**2 - k + 7*i**3 - 2*i**3 = 0. What is i?
2, 3
Factor 31/3*u - 36 - 1/3*u**2.
-(u - 27)*(u - 4)/3
Determine k, given that 17*k**3 - 7*k**2 - 44*k - 48*k**3 + 10*k**3 + 22*k**3 = 0.
-4, 0, 11
Factor -1641 + 13461*b + 13977*b - 3*b**2 - 25794*b.
-3*(b - 547)*(b - 1)
Factor 1/5*p**2 + 833/5*p + 0.
p*(p + 833)/5
Let g(h) = 2*h + 71. Let i be g(-25). Determine q, given that 3*q**3 - 42*q + 10 + 14 + i*q**2 + 84*q = 0.
-4, -2, -1
Let n(f) be the first derivative of f**6/3 - 62*f**5/5 + 177*f**4 - 1188*f**3 + 3645*f**2 - 4374*f - 844. Let n(o) = 0. Calculate o.
1, 3, 9
Let f = -486945 - -486950. Factor 0 + 0*p + 0*p**2 - 4/9*p**4 + 8/9*p**3 - 4/3*p**f.
-4*p**3*(p + 1)*(3*p - 2)/9
Suppose -2*t - 4*f + 8 = -4, -6 = -5*t + 2*f. Find i such that 30 - 2*i + 90*i**t - 15*i**2 + 5*i**3 + 35 + 137*i = 0.
-13, -1
Let l(g) be the third derivative of 0*g**4 - 1/560*g**8 - 6/175*g**7 + 2*g**2 - 7/50*g**5 + 0*g**3 + 27/200*g**6 + 0 + 20*g. Factor l(w).
-3*w**2*(w - 1)**2*(w + 14)/5
Suppose -648 - 777 = -3*i. Let y = -3324/7 + i. Find v, given that y*v**2 - 5/7*v + 4/7 = 0.
1, 4
Suppose -1884*s - 7 = 5*o - 1883*s, -s - 13 = 3*o. Let -3/4*a**2 + 1/4*a**4 - 1/2*a + 0 + 0*a**o = 0. Calculate a.
-1, 0, 2
Let u(x) be the first derivative of x**5/510 + x**4/17 + 11*x**3/51 + 9*x**2/2 + x + 83. Let k(s) be the second derivative of u(s). Factor k(n).
2*(n + 1)*(n + 11)/17
Let n(g) = 130*g**3 + 122*g**2 - 178*g - 10. Let d(a) = 43*a**3 + 40*a**2 - 54*a - 3. Let z(t) = 10*d(t) - 3*n(t). What is u in z(u) = 0?
-1, 0, 3/20
Let b(m) = m**2. Let d = -93 + 98. Let o(p) = 12*p**3 + 44*p**2 + 33*p + 6. Let u(g) = d*b(g) - o(g). Factor u(i).
-3*(i + 1)*(i + 2)*(4*i + 1)
Let h(y) = 10*y + 518. Let k be h(-48). Let n = k - 67/2. What is r in -8 + 12*r - n*r**2 + 1/2*r**3 = 0?
1, 4
Let j = -10801/12 - -1801/2. Let h(k) be the second derivative of 3/20*k**5 - 1/84*k**7 + 1/12*k**4 + 0 - j*k**3 + 1/60*k**6 - 3/4*k**2 + 3*k. Factor h(y).
-(y - 3)*(y - 1)*(y + 1)**3/2
Let p(v) be the first derivative of -2*v**5/5 - 27*v**4/2 + 102*v**3 - 221*v**2 + 192*v + 5539. Suppose p(y) = 0. What is y?
-32, 1, 3
Let h(p) be the first derivative of -2*p**5/5 + 9*p**4/2 - 56*p**3/3 + 36*p**2 - 32*p + 1328. Factor h(f).
-2*(f - 4)*(f - 2)**2*(f - 1)
Let z(m) be the second derivative of m**6/1800 - m**5/50 - 7*m**4/30 - 35*m**3/3 + 227*m. Let l(f) be the second derivative of z(f). Factor l(y).
(y - 14)*(y + 2)/5
Solve 104/9*w**4 - 22/3*w**3 + 0*w**2 + 0*w + 0 + 10/9*w**5 = 0 for w.
-11, 0, 3/5
Let q(c) be the first derivative of 0*c**4 + 4/5*c**5 + c**2 + 0*c - 4/3*c**3 - 1/3*c**6 - 49. Factor q(g).
-2*g*(g - 1)**3*(g + 1)
Factor -95718 + 47839 + t**3 + 4*t**2 + 47859 - 5*t**2 + 9*t**2 + 11*t.
(t - 1)*(t + 4)*(t + 5)
Let v(j) be the first derivative of -j**7/21 - 3*j**6/5 - 9*j**5/5 + 2*j**4/3 + 8*j**3 + 111*j - 118. Let g(m) be the first derivative of v(m). Solve g(z) = 0.
-6, -2, 0, 1
Let o be -2 + -3 + 3 + 3 + (-52)/(-8). Let u(i) be the first derivative of -15 + 18*i - o*i**2 + i**3. Find y, given that u(y) = 0.
2, 3
Let p(x) = -6*x**2 + 36*x. Let j(q) = -q**2 + 7*q. Suppose h = 3*h + 4. Suppose -16*m = -98 - 78. Let i(z) = h*p(z) + m*j(z). Determine u so that i(u) = 0.
-5, 0
Let i(l) be the second derivative of 31/105*l**6 + 11/147*l**7 + 0*l**2 - 10 - l + 5/42*l**4 + 27/70*l**5 - 2/21*l**3. Factor i(q).
2*q*(q + 1)**3*(11*q - 2)/7
Let n(r) be the first derivative of -r**5/80 - r**4/48 + 2*r**