00 + 1959*p**2 = 0. What is p?
5, 17
Suppose -33*i + 106 = -26. Let 7*l**2 + 57*l**3 + 3*l**5 - i*l**2 + 48*l + 79*l**2 + 18*l**4 - 7*l**2 + 12 + 3*l**4 = 0. Calculate l.
-2, -1
Let t(o) be the second derivative of -2*o**6/135 + 32*o**5/15 + 11*o**4/3 - 388*o**3/27 + 11422*o. Let t(l) = 0. What is l?
-2, 0, 1, 97
Let c(b) be the second derivative of b**4/72 + 269*b**3/36 - 520*b. Let c(l) = 0. Calculate l.
-269, 0
Determine h, given that -1371168/11 - 2/11*h**2 + 3312/11*h = 0.
828
Let g(n) be the third derivative of -65/24*n**4 + 0*n + 25/6*n**3 + 23/30*n**5 - 1/336*n**8 + 1/60*n**6 + 2*n**2 - 1/30*n**7 - 2. Factor g(i).
-(i - 1)**3*(i + 5)**2
Let p be ((-2)/(-5))/((-20)/(-75)). Let g = -245983/28 - -61501/7. Solve -3/4*o + p - g*o**2 = 0 for o.
-2, 1
Let k be (4/(-3))/((-28)/(-12))*245/(-70). Let n be 2/(-4) - (-15)/6. Factor v**4 - 4*v**2 + 2*v**4 + 141*v - k*v**4 - n*v**3 - 139*v + 3.
(v - 3)*(v - 1)*(v + 1)**2
Let r(h) = 2*h**3 + 21*h**2 + 11*h + 19. Let s be r(-9). Let a = s + -488/3. Find g such that a*g**2 - 1/3*g - 1/3 + 1/3*g**3 = 0.
-1, 1
Let c = 6526 + -6526. Factor -6/5*m + 2/5*m**2 + c.
2*m*(m - 3)/5
Let i(s) be the first derivative of -2*s**5/45 + 11*s**4/9 - 32*s**3/9 - 22*s**2 + 114*s + 2231. Solve i(r) = 0.
-3, 3, 19
Let v(q) be the first derivative of -q**4/2 + 86*q**3/3 - 82*q**2 - 1189. Find n, given that v(n) = 0.
0, 2, 41
Suppose 4*v = 3*q - 21, -v + 18*q - 19*q = -7. Determine b so that 1/10*b**4 - 6/5*b**2 + 0*b**3 + 8/5*b + v = 0.
-4, 0, 2
Let b be (-6216)/666*(-6)/14 - (58/(-14) + -1). Factor -66/7*j - 2/7*j**2 - b.
-2*(j + 1)*(j + 32)/7
Let c(b) be the second derivative of b**8/420 + b**7/126 - b**6/90 - b**5/10 + 3*b**4/4 + 41*b. Let p(k) be the third derivative of c(k). Factor p(w).
4*(w + 1)**2*(4*w - 3)
Suppose -3*g = -39*x + 16*x + 24*x + 40, 0 = g + 15. Factor x*i**2 - 3*i**3 + 0 + 1/3*i**4 - 7/3*i.
i*(i - 7)*(i - 1)**2/3
Let u = 26 + -16. Factor -48 + 0*f**2 - 9*f - 26*f + 3*f**2 - u*f.
3*(f - 16)*(f + 1)
Let o(b) = -440*b - 96. Let n be o(-34). Factor 4*s**2 + 4*s + n - 7*s**3 + 2*s**4 - 14864.
s*(s - 2)**2*(2*s + 1)
Suppose -6023*s + 15264 + 198 = -2607. Let 10/11*c**s + 4/11*c + 0 + 14/11*c**2 = 0. Calculate c.
-1, -2/5, 0
Let u(w) be the first derivative of w**4/60 - 6*w**3/5 + 162*w**2/5 - 87*w + 92. Let m(x) be the first derivative of u(x). Factor m(a).
(a - 18)**2/5
Let r be (6 - (0 - 1)) + 52/((-6552)/854). Factor 22/9 + r*b**3 - 14/3*b + 2*b**2.
2*(b - 1)**2*(b + 11)/9
Let i(w) be the second derivative of 2*w**7/21 - 2*w**6/5 - 16*w**5/5 + 16*w**4 - 584*w. Factor i(v).
4*v**2*(v - 4)*(v - 3)*(v + 4)
Let i(t) be the first derivative of 0*t - 15/16*t**4 + 0*t**3 - 31 + 5/24*t**6 + 0*t**2 + 1/2*t**5. Solve i(a) = 0.
-3, 0, 1
Factor -6*g**3 - 2028*g**2 - 5575788265 - 1985*g**2 - 16130535*g - 11542*g**2 + g**3.
-5*(g + 1037)**3
Suppose -2*w + t = 3*t - 16, -w + t + 2 = 0. What is k in -3431*k**2 + 51*k**4 + 0*k**3 - 9 + 48*k - 12*k**w + 3389*k**2 - 36*k**3 = 0?
-1, 1/4, 1, 3
Let c(i) be the first derivative of -2*i**3/45 + 902*i**2/15 - 406802*i/15 + 4593. Factor c(r).
-2*(r - 451)**2/15
Let n(h) = 22*h**2 + 84*h + 9. Let u be n(-6). Let x = -297 + u. What is z in x - 4/5*z**4 + 0*z**2 + 2/5*z**5 + 0*z + 2/5*z**3 = 0?
0, 1
Let u(k) be the first derivative of 5*k**3/3 - 255*k**2 - 515*k - 1715. Let u(f) = 0. Calculate f.
-1, 103
Let i(n) be the second derivative of -n**7/315 - n**6/720 - 175*n**4/12 + 187*n. Let f(l) be the third derivative of i(l). Find v such that f(v) = 0.
-1/8, 0
Solve -1/2*u**2 + 0 + 234*u = 0 for u.
0, 468
Let m be ((-1)/2)/(20/(-120)). Let l(o) = o**3 - o**2 - 16*o + 32. Let d be l(m). Find p such that 5/7 + 4/7*p - 1/7*p**d = 0.
-1, 5
Suppose -3*v - 35*p + 24 = -37*p, 0 = -25*v + 2*p + 68. Factor 68/5*x**v + 28/5 + 12/5*x**3 - 108/5*x.
4*(x - 1)*(x + 7)*(3*x - 1)/5
Let t(s) = -s**2 - 18*s - 48. Let b be t(-14). Let n be b*(-5)/(-480)*27/2. Find y such that -5/8*y**4 - 7/8*y**2 + n*y**3 + 1/8*y**5 + 0 + 1/4*y = 0.
0, 1, 2
Let b(z) be the third derivative of -z**8/5040 - z**7/180 - z**6/30 - 17*z**5/60 - 2*z**2 + 16*z. Let a(w) be the third derivative of b(w). Factor a(n).
-4*(n + 1)*(n + 6)
Let -2*l + 1853868*l**2 - 1853866*l**2 + l + 6 - 7*l = 0. Calculate l.
1, 3
Let w be -770*(3 + -5*(-5)/10). Let d be (w/66)/(-35) - (-2)/(-4). Factor 1/3*v**3 - d*v**2 - 11/3*v - 2.
(v - 6)*(v + 1)**2/3
Let z(j) = -5*j**3 + 43*j**2 + 249*j + 201. Let s(h) = 10*h**3 - 85*h**2 - 500*h - 405. Let i(r) = 2*s(r) + 5*z(r). Factor i(v).
-5*(v - 13)*(v + 1)*(v + 3)
Let y(l) be the second derivative of -11/39*l**3 + 2 + 1/78*l**4 + 24/13*l**2 - 6*l. Factor y(m).
2*(m - 8)*(m - 3)/13
Let s(k) be the first derivative of 2*k**3/75 - 22*k**2/25 + 34*k/5 + 897. Factor s(i).
2*(i - 17)*(i - 5)/25
Let i(f) be the third derivative of -26/3*f**3 + 0*f - 46/3*f**4 - 38/21*f**7 - 6*f**2 - 2 - 119/15*f**6 - 76/5*f**5 - 1/14*f**8. Suppose i(t) = 0. What is t?
-13, -1, -1/2, -1/3
Suppose 23*z - 42590 - 14519 = 0. Let i = z - 27277/11. Factor 6/11*g**3 - 42/11*g - i + 0*g**2.
6*(g - 3)*(g + 1)*(g + 2)/11
Let q(i) = -2236*i - 469555. Let u be q(-210). Find x such that -4*x**3 + 2 + 18/5*x + 2/5*x**u - 6/5*x**4 - 4/5*x**2 = 0.
-1, 1, 5
Let q be (26640/183668 + (-4)/146)*17. Factor -2/13*g**q - 242/13 - 44/13*g.
-2*(g + 11)**2/13
Let v(r) = r**2 + 2. Let d be -5 + 4 + 6 + -9. Let k(o) = 128*o - 1016. Let h(f) = d*v(f) + k(f). Let h(a) = 0. What is a?
16
Let p be -1*(-135)/(-6)*(2 - 4). Suppose 42*m - p*m = -9. Find a such that -2/7*a**m + 0*a + 2/7*a**2 + 0 = 0.
0, 1
Let c = 1278 + -1274. Suppose -2*l + 2 = -3*u - 13, 3*l = -c*u - 3. What is h in 0 + 8*h + 2/9*h**l - 8/3*h**2 = 0?
0, 6
Let -6100*v**3 - 2880 + 5892*v - 4543*v**2 - 596*v - 36*v**5 + 7615*v**2 - 1032*v**4 = 0. What is v?
-20, -9, -1, 2/3
Suppose -3*u + 2*u - 2*h = -2, 2*h = u + 6. Let c be 6 + u + 0 + 12. Solve -2*v**3 - 5*v + c*v**2 + 5*v + 6*v**3 = 0 for v.
-4, 0
Let d be (3 + 275/(-88))*-6571. Let v = d - 821. Factor v*a + 15/8 - 3/8*a**3 - 15/8*a**2.
-3*(a - 1)*(a + 1)*(a + 5)/8
Let c(p) = 2*p**3 + 772*p**2 - 12226*p + 21586. Let r(h) = -h**3 - 514*h**2 + 8151*h - 14391. Let a(u) = 9*c(u) + 14*r(u). Factor a(s).
4*(s - 30)**2*(s - 2)
Let f = -31 - -61. Factor f - 2*n - 8*n - 5*n + 0*n - n**2 + 2*n.
-(n - 2)*(n + 15)
Let h(q) = 3002*q + 33024. Let m be h(-11). Determine x, given that -3/2*x + 3/2*x**m + 0 = 0.
0, 1
Solve -940/13*r - 16/13 - 466/13*r**2 = 0 for r.
-2, -4/233
Suppose 3*w = 4*q, q = -w - 31 + 38. Let z(s) be the third derivative of 0 - 1/300*s**5 - 49/30*s**q - 7/60*s**4 + 0*s - 4*s**2. Suppose z(b) = 0. Calculate b.
-7
Let u be (6812/3)/((-13)/(65/10)). Let g = u + 1136. Let 8/3*t - 2/3*t**3 + g*t**2 - 8/3 = 0. What is t?
-2, 1, 2
Let i(x) = x**2 - 2*x + 2. Let b(m) = 4*m**2 + 157*m + 10. Let k(w) = b(w) - 5*i(w). Solve k(z) = 0.
0, 167
Let u be (-22 + 27876/1265)*10/12. Let q(n) be the first derivative of 0*n - u*n**3 + 21 + 1/22*n**2. Factor q(c).
-c*(c - 1)/11
Let h(c) be the second derivative of -7*c**4/6 - 206*c**3/3 + 21*c. Factor h(f).
-2*f*(7*f + 206)
Let m = 179/5040 - -1/504. Let t(s) be the second derivative of 0 + 0*s**4 + 0*s**6 - m*s**5 - 12*s + 0*s**3 + 0*s**2 + 1/56*s**7. Solve t(v) = 0.
-1, 0, 1
Suppose 22237*d = 22041*d + 392. Factor -4 - 11*n - 4*n**3 - 21/2*n**d - 1/2*n**4.
-(n + 1)**2*(n + 2)*(n + 4)/2
Let v(d) be the third derivative of -5/6*d**4 + 0*d + 281*d**2 + 1/60*d**6 + 1/30*d**5 + 0 + 8/3*d**3. Let v(x) = 0. What is x?
-4, 1, 2
Let n(g) = -2 - 3*g**3 + 2 - 3 + g - g**2 + 4*g**3. Let o be n(2). Factor f**o + 2*f**2 - 5*f - 4*f**2 + 6*f.
f*(f - 1)**2
Let l(h) = 17 + 4*h + 1 - 12 - 17 - 5. Let c be l(4). Let -1/9*n**2 + c - 1/9*n = 0. What is n?
-1, 0
Let w be 15994/(-6636) - (-505)/202. Let f = 3/553 + w. Factor 0 - 2/21*l**2 + 4/21*l - 4/21*l**3 + f*l**4.
2*l*(l - 2)*(l - 1)*(l + 1)/21
Let v(j) be the third derivative of 4*j**2 + 0*j + 16/3*j**3 - 8/3*j**4 - 11/120*j**6 + 1/210*j**7 + 0 + 7/10*j**5. Find z, given that v(z) = 0.
1, 2, 4
Let w be (-170)/(-1122)*12*(-22)/(-12). Determine d, given that 50/3 + w*d + 1/6*d**2 = 0.
-10
Suppose -8*c - c + 25*c + 81 - 3*c - 31*c - 3*c**2 = 0. What is c?
-9, 3
Let n(y) be the third derivative of y**7/2940 + y**6/420 - y**4/12 + 9*y**3/2 + 39*y**2. Let j(l) be the seco