z**2 - 548*z**2 - 532*z**2 - 534*z**2.
-(z - 1)*(z + 1)
Suppose 113*u = 108 - 108. Let p(f) be the third derivative of -1/420*f**6 + u*f + 0 + 1/21*f**4 + 14*f**2 - 1/70*f**5 + 0*f**3. Find a, given that p(a) = 0.
-4, 0, 1
Determine m, given that 926259*m**2 + 16*m - 926258*m**2 - 55*m - 612 = 0.
-12, 51
Let l = -44 + 46. Factor 3*t**2 + 4*t + 16 - t**2 + l*t**2 - 3*t**2 - 3*t**2.
-2*(t - 4)*(t + 2)
Let y(p) be the first derivative of -4*p**5/5 - 25*p**4 - 664*p**3/3 - 192*p**2 + 1152*p - 445. Factor y(m).
-4*(m - 1)*(m + 2)*(m + 12)**2
Factor -3/7*o**2 - 2610/7 + 1311/7*o.
-3*(o - 435)*(o - 2)/7
What is y in 17/7 - 1/7*y**3 - 5*y + 19/7*y**2 = 0?
1, 17
Factor 1/7*r + 1/7*r**2 - 60.
(r - 20)*(r + 21)/7
Let v(h) be the first derivative of -12/7*h + 1/7*h**3 + 0*h**2 - 94. Factor v(r).
3*(r - 2)*(r + 2)/7
Let t(p) = 29*p**2 - 225*p - 554. Let s(y) = -34*y**2 + 215*y + 552. Let x(h) = -6*s(h) - 7*t(h). Factor x(u).
(u + 2)*(u + 283)
Let c(g) = 9*g**3 + g**2 - 2*g + 1. Let l be c(1). Let r = l - 3. Suppose -17 + 9 + 4 + 2*i**3 - r*i = 0. What is i?
-1, 2
Let x(n) be the second derivative of -n**7/42 + 7*n**6/30 + 51*n**5/20 + 101*n**4/12 + 41*n**3/3 + 12*n**2 - 236*n + 1. Factor x(y).
-(y - 12)*(y + 1)**3*(y + 2)
Factor -2226*n**2 + 2*n**3 + 0*n**3 + 295*n**2 - 17*n**3 + 16*n**3.
n**2*(n - 1931)
Determine w so that 76/5*w**4 + 196/5*w**2 + 0 - 96/5*w + 6/5*w**5 + 50*w**3 = 0.
-8, -3, -2, 0, 1/3
Let 27*t**4 + 13*t**4 + 40 - 5*t**5 - 5*t - 1558095*t**3 - 80*t**2 + 1558105*t**3 = 0. What is t?
-1, 1, 8
Factor -1/5*x**5 + 0*x**2 - 15*x**3 + 0 - 76/5*x**4 + 0*x.
-x**3*(x + 1)*(x + 75)/5
Let t(y) be the second derivative of 1/28*y**4 + 6/7*y**3 + 0 + 30/7*y**2 + 3*y. Factor t(k).
3*(k + 2)*(k + 10)/7
Let g be (-9)/(-30) - 259/(-70). Factor 42*y**2 - 111*y**3 + 2*y + 127*y**3 + 2*y**g + 13*y + 21*y.
2*y*(y + 2)*(y + 3)**2
Let h be (-3 + 280/88)/(1/11). Factor a - 6/5 - 1/5*a**h.
-(a - 3)*(a - 2)/5
Let w be 2236/(-20)*1/3. Let g = 119/3 + w. Suppose -16/5 - g*h**2 + 24/5*h + 2/5*h**3 = 0. Calculate h.
2
Let n be ((-424)/1908)/(2 - 848/39). Let g(r) be the third derivative of -1/165*r**5 + 0 + 0*r + 0*r**3 + 7*r**2 + n*r**7 - 1/60*r**6 + 0*r**4. Factor g(i).
2*i**2*(i - 1)*(13*i + 2)/11
Let a(t) be the second derivative of t**4/42 - 24*t**3/7 + 20*t**2 - t - 108. Factor a(u).
2*(u - 70)*(u - 2)/7
Let y(t) = 9*t**4 + 135*t**3 - 796*t**2 + 474*t + 1354. Let z(u) = 4*u**4 + 68*u**3 - 395*u**2 + 237*u + 678. Let v(k) = -6*y(k) + 14*z(k). Factor v(i).
2*(i - 3)**2*(i + 1)*(i + 76)
Let z(y) be the second derivative of y**4/12 - y**3/3 - y**2/2 - 10*y. Let g be z(-1). Find i, given that i**3 - 3 + 323*i**g + 3 - 322*i**2 = 0.
-1, 0
Let r(z) be the third derivative of z**7/1470 + 209*z**6/840 - 211*z**5/140 + 635*z**4/168 - 106*z**3/21 + 578*z**2 + 2*z. Let r(k) = 0. Calculate k.
-212, 1
Let o(t) be the second derivative of t**7/14 + 57*t**6/5 + 339*t**5/20 + 3792*t. Factor o(n).
3*n**3*(n + 1)*(n + 113)
Determine p, given that -600062*p**3 - 5*p**4 + 618442*p**3 + 5005578*p**2 - 21896798*p**2 = 0.
0, 1838
Let z(d) = d**2 + 31*d + 213. Let c be z(-21). Let n be (c - 5)*(18/(-6) + 2). Solve -162/17*a**3 - 8/17*a + 72/17*a**n + 0 = 0 for a.
0, 2/9
Let l(y) = y**3 - 51*y**2 + 50*y. Let m(c) = 6*c**3 - 278*c**2 + 316*c + 23*c**2 - 67*c. Let b(a) = 21*l(a) - 4*m(a). Factor b(d).
-3*d*(d - 1)*(d + 18)
Let b(d) be the first derivative of 10/3*d**2 + 7 - 8/3*d + 1/3*d**4 - 16/9*d**3. Determine a, given that b(a) = 0.
1, 2
Let p be (-7)/(-4) - (0 + (-1)/4). Solve d**2 + 4*d - 3*d**p - 119*d**3 + 117*d**3 = 0.
-2, 0, 1
Let y(r) be the first derivative of -7*r**6/2 - 573*r**5/5 - 912*r**4 + 1432*r**3 + 4872*r**2 + 2352*r - 289. Solve y(w) = 0.
-14, -1, -2/7, 2
Let c be (1 + (-27)/21)*-7. Let d = -20638 + 268296/13. Factor 0 - 8/13*q - d*q**c.
-2*q*(q + 4)/13
Let d(w) be the second derivative of 2*w**6/405 - w**5/90 - 5*w**4/27 - 37*w**3/2 - 2*w + 2. Let x(y) be the second derivative of d(y). Factor x(z).
4*(z - 2)*(4*z + 5)/9
Let q = 145 - -130. Factor 31 + q*o**2 + 41 - 73*o - 274*o**2.
(o - 72)*(o - 1)
Let q(k) be the second derivative of 2*k**4/9 - 91*k**3/3 + 68*k**2/3 - 5353*k. Determine s, given that q(s) = 0.
1/4, 68
Let q(i) be the second derivative of 2 - 13/7*i**3 - 12*i - 507/14*i**2 - 1/28*i**4. Suppose q(k) = 0. What is k?
-13
Factor 101*h**3 + 1/4*h**4 + 805/4*h**2 + 0 + 201/2*h.
h*(h + 1)**2*(h + 402)/4
Find v, given that 250/3*v - 15 + 295/3*v**2 = 0.
-1, 9/59
Suppose 11*w + 12 = -10. Let h(d) = -3*d**4 - 27*d**3 - 2*d**2. Let x(v) = -20*v**4 - 190*v**3 - 15*v**2. Let a(g) = w*x(g) + 15*h(g). Factor a(k).
-5*k**3*(k + 5)
Let i be (-228)/(-42) + 0 + (-3)/7. Factor -4 + 4 - 18*z**4 + 15*z**4 + 3*z**i.
3*z**4*(z - 1)
Let p = 681456 + -2044355/3. Determine h so that -28/3*h**2 + 10/3 - p*h - 5/3*h**3 = 0.
-5, -1, 2/5
Let y(w) be the first derivative of -w**6/18 + w**5/5 + 31*w**4/12 - 7*w**3/9 - 15*w**2 - 56*w/3 + 1079. Find g such that y(g) = 0.
-4, -1, 2, 7
Let q(y) be the first derivative of -1/4*y**4 + 0*y**2 + 0*y + 0*y**5 + 0*y**3 - 35 + 1/6*y**6. Factor q(o).
o**3*(o - 1)*(o + 1)
Let r = 287031 + -574061/2. Suppose -r + 0*s + 1/8*s**2 = 0. Calculate s.
-2, 2
Let i(b) be the first derivative of b**4/4 + 235*b**3/3 + 13923*b**2/2 + 13689*b + 3408. Factor i(a).
(a + 1)*(a + 117)**2
Let k(g) be the first derivative of 0*g - 22/9*g**3 - 1/6*g**4 - 10/3*g**2 + 114. Let k(s) = 0. What is s?
-10, -1, 0
Let j be 2 - ((-5)/2 + 5/10). Let q = 6 - j. Solve -61 + 21 - 40*k - 5*k**3 + 20 - 25*k**q = 0 for k.
-2, -1
Let v(a) be the second derivative of 1/9*a**2 + 1/6*a**4 + 0 + 39*a + 2/45*a**5 + 2/9*a**3. Find r, given that v(r) = 0.
-1, -1/4
Let j(k) = -38*k + 560. Let b be j(-26). Let l = -1548 + b. Factor -3*q**2 + l - 3/5*q.
-3*q*(5*q + 1)/5
Factor 36*y**3 - 72*y**2 - 9*y**2 + 13*y**3 - 729*y - 3*y**3 - y**3 - 3*y**4.
-3*y*(y - 9)**2*(y + 3)
Let c(x) = -x**3 - 2*x**2 - x + 2. Let h(l) = 27*l**4 - 1842*l**3 + 3132*l**2 + 780*l + 24. Let g(a) = 12*c(a) - h(a). Suppose g(d) = 0. Calculate d.
-2/9, 0, 2, 66
Let h be ((-191)/150 - 100/(-75))/(6/5). Let l(n) be the first derivative of -2 + 1/12*n**3 + 4*n + h*n**5 + 3*n**2 - 3/8*n**4. Solve l(w) = 0.
-1, 4
Suppose -27*h**3 - 65*h**3 - 64*h**2 - 113090799*h**4 + 113090805*h**4 = 0. What is h?
-2/3, 0, 16
Suppose -80 + 124 = -4*x. Let n(l) = -125*l**5 - 789*l**4 - 278*l**3. Let z(i) = -25*i**5 - 158*i**4 - 56*i**3. Let r(t) = x*z(t) + 2*n(t). Factor r(m).
5*m**3*(m + 6)*(5*m + 2)
Let j(z) = -18*z - 232. Let p be j(-13). Solve -8 + 2*x**4 - 8*x**3 + 1 + 8*x**2 + p + 5 = 0 for x.
0, 2
Let d(u) be the second derivative of -1/10*u**5 + 1 + 0*u**3 + 22*u - 1/3*u**4 + 0*u**2. Factor d(p).
-2*p**2*(p + 2)
Let y(a) = 13*a**2 - 1649*a - 40. Let l(w) = 24*w**2 - 3297*w - 72. Let v(r) = -5*l(r) + 9*y(r). Suppose v(f) = 0. What is f?
0, 548
Let j(d) be the second derivative of 1/18*d**4 + 206*d - 38/3*d**2 + 17/9*d**3 + 0. Factor j(q).
2*(q - 2)*(q + 19)/3
Let a be (8 - (3 - -4))*(-6 - -6). Factor a + 1/5*j**2 + 8/5*j - 8/5*j**3 - 1/5*j**4.
-j*(j - 1)*(j + 1)*(j + 8)/5
Let y be (-9)/(-2)*4/9. Let f = -2 + y. What is h in 8*h**4 - 6 + f - 24*h**3 - 14*h**3 - 2 - 16*h + 54*h**2 = 0?
-1/4, 1, 2
Let h(f) = f**2 + 1077*f - 4322. Let l be h(4). Factor 5/4*j**3 + 0*j + 0 + 75/4*j**l.
5*j**2*(j + 15)/4
Let w(n) = -n**2 - 14*n - 40. Let u be w(-10). Suppose u = 3*o - 3*a - 6, 5*o = -a + 11 - 1. Factor -13*z + 3*z**o - 6*z**2 - 14 + 10.
-(z + 4)*(3*z + 1)
Factor 0*m**2 + 2/5*m**5 + 0*m + 0 + 708/5*m**3 + 358/5*m**4.
2*m**3*(m + 2)*(m + 177)/5
Let z(f) be the second derivative of 0 + 19*f - 21/2*f**2 - 1/8*f**3 + 1/16*f**4 - 1/80*f**5. Let i(g) be the first derivative of z(g). Factor i(w).
-3*(w - 1)**2/4
Suppose -96*s + 294 = -16*s + 115*s - 48*s. Factor 2*u + 0 + 1/6*u**s.
u*(u + 12)/6
Let k be (3*16/(-12))/((-8)/8). Let i(o) = -3*o**2 - 43*o - 32. Let h(q) = 6*q**2 + 87*q + 63. Let w(g) = k*h(g) + 9*i(g). Solve w(m) = 0.
-12, -1
Let u(o) = 11*o**2 - 4116*o + 8168. Let g(l) = -18*l**2 + 8233*l - 16359. Let i(a) = -4*g(a) - 7*u(a). Factor i(z).
-5*(z - 2)*(z + 826)
Let a = -76 - -78. What is g in 12 - 29*g**a + 570*g**3 - 2 + 45*g - 11*g**2 - 645*g**3 = 0?
-1, -1/5, 2/3
Let f(o) be the first derivative of -3*o**4/16 + 9*o**3/2 - 141*o**2/8 