p).
(p + 200)**2
Let a(i) be the third derivative of i**8/560 + 3*i**7/350 - i**6/8 - 27*i**5/20 - 27*i**4/5 - 54*i**3/5 + 10*i**2 - 15. What is g in a(g) = 0?
-3, -2, -1, 6
Let a(u) be the first derivative of 67 + 1/2*u**4 + 4/3*u**3 - u**2 - u - 3/5*u**5. Factor a(h).
-(h - 1)**2*(h + 1)*(3*h + 1)
Let r be 66/54 + (-6)/(-27) + -1. Let o = 12 + -10. Solve r - 16/9*z**3 - 4/3*z**o + 10/9*z + 2/3*z**5 + 8/9*z**4 = 0 for z.
-2, -1, -1/3, 1
Let a = 977 + -973. Let i(h) be the second derivative of h**a - 6*h**2 - 7/5*h**5 + h + 14/3*h**3 + 0. Factor i(r).
-4*(r - 1)*(r + 1)*(7*r - 3)
Let p(x) be the third derivative of 24*x**2 + 5/2*x**3 + 0*x + 0 - 1/12*x**5 + 5/12*x**4. Let p(j) = 0. Calculate j.
-1, 3
Suppose -2*p + 9 = 5*v, 19*p - 15*p = 3*v + 57. Suppose -45*g + 51*g = p. Factor 2/9*s**3 - 2/9*s**g + 0 - 4/9*s.
2*s*(s - 2)*(s + 1)/9
Let g(i) be the first derivative of -27 + 3*i**2 + 5/2*i**3 - 3/4*i**5 - 19*i - 1/2*i**4. Let l(j) be the first derivative of g(j). Factor l(q).
-3*(q - 1)*(q + 1)*(5*q + 2)
Let r(i) be the third derivative of i**8/75600 - 13*i**7/12600 + 19*i**6/5400 - 9*i**5/10 + i**2 - 10*i. Let m(z) be the third derivative of r(z). Factor m(b).
2*(b - 19)*(2*b - 1)/15
Let t(m) = -51*m**3 + 8*m**2 + 141*m + 122 - 59*m**2 + 19. Let a(i) = -5*i**3 - 5*i**2 + 14*i + 14. Let q(g) = 21*a(g) - 2*t(g). Factor q(k).
-3*(k - 2)*(k + 1)*(k + 2)
Let b(r) be the third derivative of 7/30*r**5 + 20/3*r**3 - 39*r**2 - 2*r**4 + 0*r + 0. Determine h so that b(h) = 0.
10/7, 2
Let o(y) be the first derivative of 62*y**3/9 - 557*y**2/3 - 12*y - 4177. Factor o(q).
2*(q - 18)*(31*q + 1)/3
Let c be 4/16 - (-15)/(-60). Suppose 313*z - 304*z = c. Factor 16/5*f + z + 4/5*f**3 + 16/5*f**2.
4*f*(f + 2)**2/5
Let o = 7 + 5. Let v = 48 - o. Find w, given that 3*w**2 - 32*w - 5*w**2 + v*w = 0.
0, 2
Let f(g) = 13*g**4 + 640*g**3 - 615*g**2 - 623*g + 551. Let l(z) = -3*z**4 - 160*z**3 + 154*z**2 + 156*z - 139. Let p(y) = 12*f(y) + 51*l(y). Factor p(k).
3*(k - 159)*(k - 1)**2*(k + 1)
Let o(i) = -i**3 + 5*i**2 + 18*i + 3. Let t be o(6). Solve -45*f**2 + 44 + 81 + 1783*f**3 - 1788*f**3 - t*f = 0.
-5, 1
Let l(z) be the first derivative of -z**3/18 + 269*z**2/4 + 2687. What is d in l(d) = 0?
0, 807
Suppose -341*a = 22*a + 128*a - 982. Factor 15/4 + 23/4*l + 9/4*l**a + 1/4*l**3.
(l + 1)*(l + 3)*(l + 5)/4
Let c(y) = -1432*y - 57277. Let z be c(-40). Determine q, given that -2/5*q**4 - 9408/5*q**2 - 224/5*q**z - 175616/5*q - 1229312/5 = 0.
-28
Let y(o) be the second derivative of -o**4/3 + 68*o**3 - 1504*o**2 - 16*o - 171. Determine w, given that y(w) = 0.
8, 94
Let y(z) = z**3 - 22*z**2 - 44*z - 93. Let h be y(24). Suppose 4*b = -h*b - 0*b. Find m, given that b + 4/13*m**2 + 0*m**3 - 2/13*m - 4/13*m**4 + 2/13*m**5 = 0.
-1, 0, 1
Let z(c) be the second derivative of -1 + 7/18*c**4 + 45*c - 8*c**2 - 82/9*c**3. Factor z(u).
2*(u - 12)*(7*u + 2)/3
Let c = -32125 - -32125. Let w be 3 + -6 - (-1 - 5). Let c*d**2 + 0*d - 2/9*d**5 + 0*d**w + 0 - 2/9*d**4 = 0. Calculate d.
-1, 0
Let u(m) be the second derivative of -m**4/4 + 314*m**3 - 6*m - 319. Factor u(f).
-3*f*(f - 628)
Let g(s) be the third derivative of -s**7/280 - 8*s**6/5 - 8063*s**5/40 + 1032*s**4 - 16641*s**3/8 - 2516*s**2. Determine x, given that g(x) = 0.
-129, 1
Let l(h) = 10*h**4 - 401*h**3 + 9*h**2 + 1639*h - 7. Let n(w) = 3*w**4 - 134*w**3 + 2*w**2 + 546*w - 2. Let s(t) = 4*l(t) - 14*n(t). Factor s(x).
-2*x*(x - 136)*(x - 2)*(x + 2)
Let j(o) = -o**3 - o**2. Let b(w) = -21*w**3 - 19*w**2 + 2*w. Let x be (5 - -9)/7 + 3. Let i(k) = x*b(k) - 10*j(k). Factor i(l).
-5*l*(l + 1)*(19*l - 2)
Let u(m) = 34*m**2 - 95*m - 138. Let w(y) = 15*y**2 - 49*y - 68. Let v(q) = -4*u(q) + 9*w(q). Factor v(h).
-(h + 1)*(h + 60)
Solve 22/3*l**2 - 22/3*l**4 + 0 - 68/9*l + 70/9*l**3 - 2/9*l**5 = 0.
-34, -1, 0, 1
Let b(x) = -x**3 - 11*x**2 + 70*x + 773. Let g be b(-11). Let j(m) be the first derivative of -6/5*m**5 - m**g + 0*m - 9/4*m**4 + 0*m**2 + 8. Factor j(y).
-3*y**2*(y + 1)*(2*y + 1)
Let g(l) = 35*l**3 - 905*l**2 + 990*l - 30. Let z(m) = -m**3 - 2*m**2 - m + 1. Let v(p) = -g(p) - 30*z(p). Factor v(j).
-5*j*(j - 192)*(j - 1)
Let f(s) be the first derivative of 3*s**8/560 - 8*s**7/175 - 7*s**6/120 - s**5/50 - 41*s**2 + 65. Let y(t) be the second derivative of f(t). Factor y(m).
m**2*(m - 6)*(3*m + 1)**2/5
Let l(i) = -i**3 + 8*i**2 + 15*i + 53. Let t be l(10). Solve -36446 - 45*b**4 - 65*b**t + 45*b**2 + 55*b**5 + 36446 + 10*b = 0.
-1, -2/11, 0, 1
Find b, given that 16*b**2 - 310/3*b + 200 - 2/3*b**3 = 0.
4, 5, 15
Let w(q) = q**3 + 2*q**2 - 30*q + 24. Let h be w(4). Factor h*z + 50/3*z**4 + 0 + 112*z**3 + 2/3*z**5 + 96*z**2.
2*z**2*(z + 1)*(z + 12)**2/3
Let i(f) be the first derivative of 11 - 4/75*f**5 + 0*f**2 - 8/45*f**3 + 1/45*f**6 + 0*f - 7/30*f**4. Factor i(d).
2*d**2*(d - 4)*(d + 1)**2/15
Let b(k) be the third derivative of -19/210*k**5 + 19/21*k**3 + 0 + 0*k + 1/84*k**4 - 228*k**2 - 1/420*k**6. Factor b(z).
-2*(z - 1)*(z + 1)*(z + 19)/7
Suppose 5*n = -m + 2*m + 249, 4*m = n - 901. Let h = m - -463. Factor -475 + 2*c**2 + 236 + h + 10*c.
2*c*(c + 5)
Find u, given that -486/5 + 1/5*u**2 - 9*u = 0.
-9, 54
Let r be (-3 - -3)/1 - (-1385)/277. Let v(l) be the first derivative of 20/3*l**3 - r + 5/6*l**6 + 0*l + 0*l**2 - l**5 - 5*l**4. Factor v(x).
5*x**2*(x - 2)*(x - 1)*(x + 2)
Suppose 181*m + 74*m - 244 = 266. Factor -1/4*d**2 - 1/4*d**3 + m*d + 3.
-(d - 3)*(d + 2)**2/4
Let q = -180925/4 + 45232. Factor q - 9/8*x**2 + 3/8*x - 3/8*x**3 + 3/8*x**4.
3*(x - 2)*(x - 1)*(x + 1)**2/8
Let f = -138809/6 - -23135. Factor -f*j**2 + 19/3*j - 361/6.
-(j - 19)**2/6
Let u be (-6 - -2)*(-5)/4. Let i(j) = -26*j**2 + 55*j - 3. Let s be i(2). Let s*l**3 - 2*l**3 - 5*l**5 + l**3 + 4*l**u - l = 0. What is l?
-1, 0, 1
Let i(j) = j**2 - 10*j - 3. Let d be i(10). Let q be d*((-16)/(-3))/(-4). Find n, given that -7*n + 130 + 15*n**3 + 28*n - 136 - 3*n**q - 27*n**2 = 0.
1, 2
Let i(g) be the third derivative of 0*g**3 + 0*g**5 + 0 + 16*g**2 + 0*g**6 + 0*g**4 - 1/126*g**8 + 2/105*g**7 + 0*g. Factor i(b).
-4*b**4*(2*b - 3)/3
Let q(a) be the first derivative of 7*a**4/4 - 20*a**3/3 + 3*a**2 - 4. Let v(d) = -76*d**3 + 220*d**2 - 64*d. Let x(k) = -32*q(k) - 3*v(k). Factor x(b).
4*b**2*(b - 5)
Let w = 948 + -944. Find i, given that -10*i**2 + 1330*i**w + 13*i**3 + 7*i**3 - 1325*i**4 - 15*i**2 = 0.
-5, 0, 1
Suppose -9 = -3*n, 5*n = -j + 59 - 7. Factor 64*d**4 - j*d**5 + 63 - 55 + 5*d**5 + 208*d**3 + 17*d + 45*d + 176*d**2.
-2*(d - 4)*(2*d + 1)**4
Let d(k) = -3*k**2 + 20*k + 25. Let q(z) = 2*z**2 - 26. Let x(j) = -j**2 + 12. Let v(p) = 6*q(p) + 13*x(p). Let o(i) = -d(i) - 2*v(i). Factor o(a).
5*(a - 5)*(a + 1)
Let v = 29273/5 - 5854. Let i(n) be the first derivative of -n**3 + 0*n**2 + 0*n + 0*n**4 - 7 + v*n**5. Determine j, given that i(j) = 0.
-1, 0, 1
Let t(q) be the first derivative of -32*q**6 + 64*q**5/5 + 623*q**4 + 1472*q**3/3 - 358*q**2 + 48*q + 4664. Solve t(h) = 0.
-3, -1, 1/12, 1/4, 4
Let u(t) be the third derivative of -t**5/12 + 115*t**4/12 - 75*t**3/2 - 1486*t**2. Factor u(r).
-5*(r - 45)*(r - 1)
Let y(m) be the first derivative of m**6/1440 - 17*m**5/240 + 289*m**4/96 + 164*m**3/3 - 171. Let s(g) be the third derivative of y(g). Factor s(x).
(x - 17)**2/4
Let i(j) be the first derivative of -4*j**3/3 - 382*j**2 + 5544*j - 4950. Factor i(l).
-4*(l - 7)*(l + 198)
Let l = 8466541/11 + -769683. Factor 144/11 + 2/11*c**3 + l*c**2 - 136/11*c.
2*(c - 2)**2*(c + 18)/11
Let s = 30586/415 + -5586/83. Determine r, given that 0 - 32/5*r + 1/5*r**5 + 7/5*r**4 + 6/5*r**3 - s*r**2 = 0.
-4, -1, 0, 2
Let v(h) be the second derivative of -h**7/84 + 7*h**6/10 - 229*h**5/40 + 20*h**4 - 109*h**3/3 + 36*h**2 - 1565*h. Solve v(z) = 0.
1, 2, 36
Let h(m) be the first derivative of 2*m**4/3 - 382*m**3/9 - 244*m**2/3 - 98*m/3 + 1694. Suppose h(a) = 0. What is a?
-1, -1/4, 49
Let g = -34308337/66670 + -9/13334. Let a = g - -515. Let 2/5*k**3 + 2/5 - 2/5*k - a*k**2 = 0. What is k?
-1, 1
Let v = -258270 - -258274. What is o in 2*o**3 + 8 - 4*o + 1/2*o**4 - 1/4*o**5 - v*o**2 = 0?
-2, 2
Let v(y) = 23*y**2 + 31*y + 11. Let i(x) = 22*x**2 - 4*x**3 + 0*x**3 + 3*x**3 + 76*x - 45*x + 10. Let f(l) = -3*i(l) + 2*v(l). Suppose f(h) = 0. Calculate h.
-1, -1/3, 8
Let b(y) be the second 