 g*p**5 - 6/7*p**4.
2*p**2*(p - 1)**2*(2*p + 1)/7
Suppose 99 = 9*o - 162. What is l in 18 - 10*l**2 - o*l - 2*l**3 + 55*l - 32*l = 0?
-3, 1
Let i = 2/175649 - -175643/526947. Suppose -1/3*f**3 - 4 + 8/3*f + i*f**2 = 0. What is f?
-3, 2
Suppose 0 = -333*l + 5349 + 2976. Let s(j) be the third derivative of -8/3*j**3 - 1/5*j**5 - l*j**2 + 1/60*j**6 + j**4 + 0 + 0*j. Factor s(h).
2*(h - 2)**3
Let m be (1 - 2/3)*0/35. Let u be m*2*(-4)/(-48)*-3. What is w in -2/3*w**3 + 2/3*w**2 + u*w + 0 = 0?
0, 1
Let w = -894 + 972. Suppose 50*x + w = 63*x. Solve x*q - 18 + 2*q**2 - 2/3*q**3 = 0 for q.
-3, 3
Suppose -15 = -g - 4*v - 6, -4*g - 3*v + 62 = 0. Factor -6 + 9*o + 9*o**3 - o**3 - o**4 + 22 - g*o - 15*o**2.
-(o - 4)**2*(o - 1)*(o + 1)
Factor -149/5*n + 6/5 + 119/5*n**2 + 24/5*n**3.
(n - 1)*(n + 6)*(24*n - 1)/5
Determine z so that 696/7*z**2 - 117/7*z**3 - 1017/7*z - 54/7 = 0.
-2/39, 3
Let r be ((-100)/(-15))/((-6)/(-18)). Let d be (-2)/r - 287/(-820). What is p in 3/4*p**4 - 1/4*p**5 - 3/4*p**2 + 1/2*p - d*p**3 + 0 = 0?
-1, 0, 1, 2
Find d, given that 214/13*d**2 + 4*d**3 - 336/13 + 68/13*d + 2/13*d**4 = 0.
-21, -4, -2, 1
Let p(w) be the third derivative of -5*w**8/1008 + w**7/63 - w**6/45 + 13*w**5/15 + 63*w**2. Let q(b) be the third derivative of p(b). Factor q(n).
-4*(5*n - 2)**2
Let h(p) be the third derivative of p**7/945 + 23*p**6/540 + 32*p**5/45 + 19*p**4/3 + 32*p**3 + 401*p**2 + 4. Factor h(z).
2*(z + 3)*(z + 6)**2*(z + 8)/9
Let j(l) be the second derivative of l**4/30 + 832*l**3/15 + 2487*l**2/5 - 10485*l. Determine q, given that j(q) = 0.
-829, -3
Suppose -54*y = -56*y + 6. Let d be 8/(-5)*(6/12 - 3). Determine x, given that -4*x**2 + 6*x**y + 12*x**2 - d*x**3 + 8*x = 0.
-2, 0
Factor -684/7 + 348/7*y - 3/7*y**2.
-3*(y - 114)*(y - 2)/7
Determine z, given that -10*z - 20*z**3 + 1057*z**5 - 1056*z**5 - 30 + 30*z**2 + 29*z = 0.
-5, -1, 1, 2, 3
Let k be (7 + -9)*-46*2/(-8). Let s = k + 24. Let 132*j - 51*j + 324*j**2 - 45*j + s = 0. What is j?
-1/18
Let q(f) be the second derivative of -f**7/840 - f**6/60 + 43*f**4/12 - 10*f. Let b(w) be the third derivative of q(w). Factor b(g).
-3*g*(g + 4)
Solve 60*i + 30 + 240*i**2 + 1200*i + 15 - 45 + 5*i**3 = 0.
-42, -6, 0
Let q(y) be the first derivative of 49*y**4/102 - 14*y**3/51 + y**2/17 - 32*y - 10. Let n(a) be the first derivative of q(a). Factor n(d).
2*(7*d - 1)**2/17
Let v(g) be the first derivative of 4*g**5/5 - 3*g**4 - 212*g**3/3 + 510*g**2 - 800*g + 9011. Factor v(a).
4*(a - 5)**2*(a - 1)*(a + 8)
Factor -3/2 - 85/2*u + 251/2*u**2 + 93/2*u**3.
(u + 3)*(3*u - 1)*(31*u + 1)/2
Let v(i) = -2*i**3 - 96*i**2 + 293*i - 216. Let q(a) = -2*a**3 - 48*a**2 + 147*a - 104. Let n(x) = -5*q(x) + 3*v(x). Factor n(w).
4*(w - 8)*(w - 2)**2
Let g(h) = -h**3 - 14*h**2 + 31*h + 5. Let d be g(-16). Solve -7 + 110*q - 5*q**2 - 77 + 0*q**2 - d = 0 for q.
1, 21
Suppose 3*g - g = -3*m - 146, -g - 3*m - 70 = 0. Let f be (-2)/(-6) - (g/6 - -4). Let -f - 5 - 10*l**2 + l**3 + l**3 - 26*l = 0. Calculate l.
-1, 7
Find o such that 105 + 1/3*o**2 - 68/3*o = 0.
5, 63
Let m(i) = 12892 + 431*i + i**2 + 9606 + 171*i + i**2. Let t(r) = -r**2 - 603*r - 22497. Let b(d) = 3*m(d) + 2*t(d). Factor b(k).
4*(k + 75)**2
Let o(p) be the first derivative of -p**4/4 - 6*p**3 + 20*p**2 - 1180. Solve o(z) = 0 for z.
-20, 0, 2
Let k be 4/22 - 16*(-32)/1540. Let d(g) be the first derivative of 1/14*g**6 + 6/7*g + k*g**5 + 12 + 16/7*g**3 + 27/14*g**2 + 3/2*g**4. Solve d(t) = 0.
-2, -1
Let l(j) be the third derivative of j**6/30 + 41*j**5/3 - 281*j**2 + 1. Factor l(q).
4*q**2*(q + 205)
Let x(j) be the third derivative of -1/21*j**4 - 1/840*j**6 + 0 - 2/21*j**3 + 0*j + 8*j**2 - 1/84*j**5. Solve x(b) = 0 for b.
-2, -1
Let h(j) = 3*j**2 - 4*j - 80. Let o(a) = a**2 + a - 4. Let i(w) = -h(w) + 2*o(w). Factor i(s).
-(s - 12)*(s + 6)
Let w(u) = -u**3 + 108*u**2 - 75*u - 3421. Let m be w(107). What is g in 0 + 4/3*g**2 - 2/3*g**m + 16/3*g = 0?
-2, 0, 4
Let x(d) be the first derivative of 2*d**3/15 + 115*d**2 - 1152*d/5 - 7950. Suppose x(b) = 0. Calculate b.
-576, 1
Suppose 147*s - 272 = -121 + 290. Factor 13*q - 15 + 1/3*q**s - 11/3*q**2.
(q - 5)*(q - 3)**2/3
Let o(x) be the third derivative of -3/10*x**6 + 0 + 142*x**2 - 1/210*x**7 + 0*x**3 + 0*x - 72*x**4 - 36/5*x**5. Factor o(y).
-y*(y + 12)**3
Find z, given that 27/4*z**4 - 3/4*z - 63/4*z**2 + 9 - 3/4*z**3 + 3/2*z**5 = 0.
-4, -3/2, -1, 1
Let m = -431 + 435. Factor -1631*w**3 - 97 + 1 + 1635*w**3 + m*w**2 - 56*w.
4*(w - 4)*(w + 2)*(w + 3)
Let p = 9142 + -9140. Let u(f) be the first derivative of -f**4 + 12*f - 17 - 14*f**p + 20/3*f**3. Factor u(z).
-4*(z - 3)*(z - 1)**2
Let d = 102768 + -102765. Let o be 4/(-1 - 4/(-2)). Factor -1/3*s**o - 2*s**d + 8*s - 16/3 - 1/3*s**2.
-(s - 1)**2*(s + 4)**2/3
Let c(a) be the first derivative of a**4/16 - 95*a**3/12 + 299*a**2 - 1587*a - 8165. Factor c(t).
(t - 46)**2*(t - 3)/4
Suppose -105 = -7*w + 2*w. Let x be 132/w + 10/(-35) - 4. Factor -7*p + 4*p**3 + 333*p**4 + 3*p + 4*p**x - 337*p**4.
-4*p*(p - 1)**2*(p + 1)
Let t(w) be the second derivative of -w**5/15 + 8*w**3/3 + 95*w**2 + 4*w + 5. Let h(d) be the first derivative of t(d). Factor h(m).
-4*(m - 2)*(m + 2)
Determine o, given that -693*o + 63 + 107*o**2 + 595 - 3196*o**2 - 3*o**3 + 371 - 1364*o = 0.
-1029, -1, 1/3
Suppose -v + 52 = -0*v + 5*i, 2*i = -3*v + 91. Let g be v/(-90)*2*10/(-12). Factor -3/4*x - 1/4*x**2 + 3/4*x**3 - 1/4*x**4 + g.
-(x - 2)*(x - 1)**2*(x + 1)/4
Let r(f) be the second derivative of -f**8/1344 - f**7/84 + 59*f**2/2 + 2*f - 26. Let d(q) be the first derivative of r(q). Suppose d(p) = 0. What is p?
-10, 0
Let i(w) be the second derivative of -4/105*w**6 + 22/21*w**4 - 11*w - 8/21*w**3 - 2 - 48/7*w**2 - 2/147*w**7 + 9/35*w**5. Solve i(o) = 0 for o.
-2, 1, 3
Suppose x = 4*x + 4*n + 3, 18 = 3*x - 3*n. Let r(j) = 7*j**2 - 154*j + 2. Let h be r(22). Let 8/5*p**h + 4/5 - 2/5*p**x - 2*p = 0. Calculate p.
1, 2
Let z be (7238/1316)/(((-55)/6)/(-5)). Determine a, given that 2/5*a**z - 8/5*a**2 - 4/5 + 2*a = 0.
1, 2
Let v(o) be the second derivative of 2/3*o**6 + 5/3*o**4 + 5/42*o**7 + 5/6*o**3 + 76 + 0*o**2 - o + 3/2*o**5. Let v(x) = 0. Calculate x.
-1, 0
Let m = 2290 + -68699/30. Let t(r) be the second derivative of 9*r + m*r**6 - 1/12*r**4 + 0 + 0*r**3 + 0*r**5 + 0*r**2. Solve t(u) = 0 for u.
-1, 0, 1
Let i be (-122)/1584 + (-305)/(-3355). Let t(p) be the third derivative of -1/360*p**5 - 1/240*p**6 + 13*p**2 + 0*p + 0 + i*p**4 + 0*p**3. Factor t(j).
-j*(j + 1)*(3*j - 2)/6
Let r(u) be the third derivative of u**8/112 + u**7/10 + u**6/40 - 27*u**5/20 + 9*u**4/4 - 1409*u**2. Solve r(x) = 0.
-6, -3, 0, 1
Let p(m) = 2*m**4. Let q(k) = 15*k**4 + 141*k**3 + 415*k**2 + 231*k + 36. Let i(c) = -6*p(c) + 2*q(c). Let i(z) = 0. What is z?
-12, -3, -1/3
Let y(j) be the second derivative of -3*j**5/5 - 151*j**4/66 - 37*j**3/33 + 2*j**2/11 - 39*j + 31. Determine d, given that y(d) = 0.
-2, -1/3, 1/22
Let r(j) be the first derivative of -25*j**6/57 - 84*j**5/19 + 197*j**4/19 - 136*j**3/57 - 81*j**2/19 - 20*j/19 - 157. Determine p so that r(p) = 0.
-10, -1/5, 1
Let a(g) = 15*g**2 - 1758*g + 240291. Let z(f) = -f**2 + 5*f - 2. Let x(p) = a(p) + 12*z(p). Factor x(n).
3*(n - 283)**2
Let h = -73695 + 73697. Solve -2/3 - 8/3*b - 2*b**h = 0 for b.
-1, -1/3
Let g(u) = u**2 + 4*u + 5. Let i be g(-3). Determine v so that -18*v**2 + 20*v**i + 282*v - 167*v + 30 + 25*v**3 + 108*v**2 = 0.
-3, -1, -2/5
Let s(i) be the first derivative of -2*i**3/3 + 956*i**2 - 456968*i - 1553. Factor s(q).
-2*(q - 478)**2
Let n(j) be the second derivative of 6*j**5/35 + 335*j**4/42 - 127*j**3/7 - 116*j**2/7 - 6826*j. Find z, given that n(z) = 0.
-29, -1/4, 4/3
Suppose -9*s + 28*s - 1102 = 0. Let t = 58 - s. Factor -2/11*r**5 + 0*r + 10/11*r**4 - 6/11*r**3 + t - 18/11*r**2.
-2*r**2*(r - 3)**2*(r + 1)/11
Let c(x) be the first derivative of x**6/1020 + x**5/51 + 8*x**4/51 + 32*x**3/51 - 49*x**2 - 8. Let v(k) be the second derivative of c(k). Factor v(d).
2*(d + 2)*(d + 4)**2/17
Let m(h) = h**2 + 3*h + 8. Let j be m(-7). Let r be (-1)/3 + 2*42/j. Factor -50*v**2 + 3*v + 23*v**r + 25*v**2 + 3*v.
-2*v*(v - 3)
Let p = 115 + -115. Suppose -2*n = -4*r + 4, p = -n - 3*r + 6 + 2. Factor -39*v**n - 49*v - 9*v**2 - 119*v - 23 - 124.
-3*(4*v + 7)**2
Suppos