ive of -v**5/20 - v**4/2 + 4*v**3/3 + 7*v**2/2 + 83*v. Let c be t(-7). Solve -2/5*a + c + 4/5*a**2 - 2/5*a**3 = 0 for a.
0, 1
Suppose 0 = 5*w - r - 11, 39 = 708*r - 711*r + 6. Solve 2/3*t - 2*t**2 + 13/6*t**3 + 1/6*t**5 - t**4 + w = 0.
0, 1, 2
Let d(l) be the second derivative of -5*l**7/168 + 11*l**6/6 + 503*l**5/16 + 1615*l**4/8 + 1335*l**3/2 + 1215*l**2 + 1041*l - 2. Solve d(u) = 0.
-3, -2, 54
Let l = 49757 + -49753. Factor 0*m - 4/3*m**3 + 2/3*m**l + 0 + 2/3*m**2.
2*m**2*(m - 1)**2/3
Let x(w) be the first derivative of w**3/27 - w**2/6 - 156*w - 9799. Let x(p) = 0. Calculate p.
-36, 39
Let d(l) = -5*l**2 - 35*l - 15. Let i = -95 + 89. Let g be d(i). Factor 9*o**2 + 0*o**3 - 4*o**3 - 10*o**2 + 20*o - g*o**2.
-4*o*(o - 1)*(o + 5)
Suppose 0 = 2*f + 13 - 71. Suppose -3*t - 22 + 10 = 0, 5*x - f = -4*t. Factor 6*p**3 - 21*p**4 + 3 + x*p**5 - p**2 + 19*p**2 - 2*p - 13*p.
3*(p - 1)**3*(p + 1)*(3*p - 1)
Let a be (78 - 80) + 0 + (-482)/(-13). Let o = 2293/65 - a. Factor 4/5*k**5 + 1/5*k**2 + 11/5*k**4 - o*k + 9/5*k**3 + 0.
k*(k + 1)**3*(4*k - 1)/5
Let h(q) be the second derivative of q**6/30 + 39*q**5/5 + 6083*q**4/12 - 26*q**3 - 3042*q**2 + 14*q + 29. Factor h(f).
(f - 1)*(f + 1)*(f + 78)**2
Let k(w) be the second derivative of -w**7/336 - 23*w**6/80 - 163*w**5/80 - 4*w**4 - 1276*w + 2. Let k(z) = 0. Calculate z.
-64, -3, -2, 0
Suppose 2*f - 2*b - 3*b = 26, 1 = -5*f - 4*b. Let c(g) be the first derivative of 0*g + 24 - 1/4*g**4 + 5/3*g**f - 2*g**2. What is r in c(r) = 0?
0, 1, 4
Let x be ((-45)/(-18) + -3)/(50/(-200)). Factor -16/3 + 1/3*c**x + 5*c.
(c - 1)*(c + 16)/3
Determine g, given that -28*g**3 - 106 + 708*g - 134 + 215*g**2 - 39*g**2 + 24 = 0.
-3, 2/7, 9
Factor 65732 + 759*y - 65624 + 6*y**3 + 12*y**3 + 669*y**2.
3*(y + 1)*(y + 36)*(6*y + 1)
Let h = -348228 + 348230. Suppose 5 = -x, -5*r + 2*x = -0*r - 25. What is i in 1/2*i + 1 - 3/2*i**r - 2*i**h = 0?
-1, 2/3
Let x(l) be the second derivative of 17*l**2 + 2 + 27*l - 73/12*l**4 + 47/20*l**5 - 83/6*l**3 + 1/10*l**6. Determine h so that x(h) = 0.
-17, -1, 1/3, 2
Let o(c) be the first derivative of -128/3*c**3 + 0*c**2 - 20*c**4 - 16/5*c**5 - 1/6*c**6 + 0*c + 169. Factor o(j).
-j**2*(j + 4)**2*(j + 8)
Suppose 15*f + 256*f = 717*f - 1784. Factor -3/2*h**f - 1/2*h**5 + 0*h + 5*h**3 + 0*h**2 + 0.
-h**3*(h - 2)*(h + 5)/2
Let 16*n - 3 - 16*n**3 + 58432*n**2 - 58395*n**2 - 3*n**4 - 2*n + 3 = 0. What is n?
-7, -1/3, 0, 2
Let s = -78191/180 - -3910/9. Let c(l) be the third derivative of 0 + 16/3*l**3 + 1/420*l**7 - 45*l**2 + 13/30*l**5 + 0*l - 2*l**4 - s*l**6. Factor c(g).
(g - 4)**2*(g - 2)**2/2
Suppose 0 = 5*r - 5*k - 5, -273 = -4*r - 5*k - 260. Let b(f) be the second derivative of 11*f + 0*f**r + 2/3*f**3 + 0 + 1/20*f**5 - 1/3*f**4. Factor b(x).
x*(x - 2)**2
Let b(g) be the first derivative of g**5/60 + 2*g**4/3 - 17*g**3/6 + 5*g**2 + 9. Let s(m) be the second derivative of b(m). Factor s(h).
(h - 1)*(h + 17)
Let f = -76/59 - -1594/413. Let g(o) be the first derivative of 7 + 6/7*o**2 - 2/21*o**3 - f*o. Factor g(d).
-2*(d - 3)**2/7
Let j = -2/718337 + 718347/3591685. Suppose -2/5*i + 0 + j*i**4 - 3/5*i**2 + 0*i**3 = 0. What is i?
-1, 0, 2
Let k(z) be the second derivative of 7 + 0*z**2 - 1/6*z**4 + z - 2/3*z**3. Solve k(w) = 0.
-2, 0
Solve 36/7*k + 38/7 - 2/7*k**2 = 0.
-1, 19
Let m be (-29344)/51352 - -1*(-75)/(-21). Let -a + 1/3*a**m - 2/3*a**2 + 0 = 0. What is a?
-1, 0, 3
Let b = 11675/6426 - 214/119. Let q(o) be the third derivative of 0*o**7 + 0*o**5 + 1/135*o**6 - b*o**4 + 0*o**3 - 1/756*o**8 + 0*o - 11*o**2 + 0. Factor q(c).
-4*c*(c - 1)**2*(c + 1)**2/9
Factor -92*p**3 + 2391*p - 5004*p - 34 - 188*p**2 + 2453*p - 30*p**2.
-2*(p + 1)**2*(46*p + 17)
Let q(s) be the second derivative of -105*s - 1/4*s**4 + 0 + 3*s**2 + 1/2*s**3. Factor q(g).
-3*(g - 2)*(g + 1)
Suppose -33*q - 8 = -37*q. Factor -v**2 - 19*v**2 + 944*v**3 + 10*v + 5*v**4 - 954*v**3 + q + 13.
5*(v - 3)*(v - 1)*(v + 1)**2
Let q(b) = 5*b**2 + 705*b + 22820. Let w(y) = -y + 12. Let v(s) = q(s) + 25*w(s). Let v(p) = 0. Calculate p.
-68
Let g(f) be the first derivative of -7*f**5/390 - f**4/26 + 39*f**2 - 28. Let a(i) be the second derivative of g(i). Determine z so that a(z) = 0.
-6/7, 0
Let j be -4 - -42*(-3)/(-27). Let w(d) be the second derivative of 0 + 2/21*d**7 - 2/3*d**3 + 4/15*d**6 - j*d**4 + 0*d**5 + 7*d + 0*d**2. Factor w(v).
4*v*(v - 1)*(v + 1)**3
Factor 5*g**4 + 320*g + 47 + 55*g**3 + 210*g**2 - 55 + 168.
5*(g + 1)*(g + 2)*(g + 4)**2
Let t(r) be the first derivative of 12675*r**4/8 - 65*r**3 + r**2 - 169*r + 183. Let o(c) be the first derivative of t(c). Solve o(q) = 0.
2/195
Let x be (-2)/12 + (-100)/(-24). Let c(z) = -2*z**2 - z - 2. Let i = -66 + 76. Let y(d) = d**2 + 1. Let t(r) = i*y(r) + x*c(r). Let t(u) = 0. What is u?
1
Let g(j) be the first derivative of -j**4 - 136*j**3/3 + 1032*j**2 - 6624*j + 5871. Factor g(y).
-4*(y - 6)**2*(y + 46)
Let m be (32/(-6))/(3/(72/(-16))). Suppose -m*i + 2*i = 0. Let 2/5*f**3 + i - 4/5*f**4 + 0*f + 0*f**2 + 2/5*f**5 = 0. Calculate f.
0, 1
Let b(a) be the third derivative of 0*a**5 + 1/8*a**6 + 0*a**3 + 0 + 1/35*a**7 + 0*a**4 - 1/448*a**8 + 0*a - 75*a**2. Factor b(y).
-3*y**3*(y - 10)*(y + 2)/4
Suppose 0 = -9*d + 2260 + 2681. What is k in -4*k**5 + k**4 + 256*k**2 + 67*k**4 + 549*k - 320*k**3 - d*k = 0?
0, 1, 8
Suppose -25 = -r + 5*q, -4*r + 10*q + 25 = 5*q. Suppose -20/3*o**4 + r + 20/3*o**3 + 0*o + 5/3*o**5 + 0*o**2 = 0. What is o?
0, 2
Factor -4*r**4 - 10*r**3 - 3*r**4 - 76102*r - 3*r**2 + 76111*r - r**3 + 10*r**2 + 2*r**5.
r*(r - 1)*(r + 1)**2*(2*r - 9)
Let y(k) be the second derivative of 2*k**6/5 + 7*k**5/5 - 72*k**4 + 280*k**3/3 + 16*k + 5. Factor y(c).
4*c*(c - 7)*(c + 10)*(3*c - 2)
Let a(u) be the second derivative of -u**6/70 - 9*u**5/28 + 47*u**4/28 + 33*u**3/2 + 255*u**2/7 - 6*u - 92. What is b in a(b) = 0?
-17, -2, -1, 5
Let t = -681 - -671. Let v be (-10)/(-50) - (-2)/t. Factor -d + v + 1/2*d**3 + 1/2*d**2.
d*(d - 1)*(d + 2)/2
Let s(c) = -3*c**2 - c + 22. Let r(z) = -2 + 373*z**2 - 372*z**2 + 3 - 1. Let p(j) = -2*r(j) + s(j). Factor p(k).
-(k - 2)*(5*k + 11)
Let d(u) be the third derivative of -u**7/630 - 17*u**6/180 - 16*u**5/45 - 9*u**2 - 48*u. Factor d(f).
-f**2*(f + 2)*(f + 32)/3
Let r(q) be the second derivative of -q**4/96 - 5*q**3/24 + 9*q**2 + 2118*q. Solve r(d) = 0.
-18, 8
Let i(c) be the first derivative of -c**6/1080 - 17*c**5/360 + c**4/4 + 26*c**3/3 + 72. Let g(s) be the third derivative of i(s). Factor g(f).
-(f - 1)*(f + 18)/3
Let u(i) be the second derivative of 13*i**4/84 + 5*i**3/21 - 16*i**2/7 - 206*i. Factor u(d).
(d + 2)*(13*d - 16)/7
Let t(s) be the third derivative of -61009*s**6/120 - 20501*s**5/20 - 165*s**4/8 - s**3/6 - 2*s**2 - 155. Find y, given that t(y) = 0.
-1, -1/247
Suppose 0 = 23*c - 28 - 41. Suppose 9 = -4*l - 5*f - c, -4*l - 3*f - 4 = 0. Determine r so that -3/4*r**l - 3/4 + 3*r - 9/2*r**3 = 0.
-1, 1/3, 1/2
Let p(j) = -j**2 - 12*j - 9. Let f = 21 - 32. Let u be p(f). Let -u*s**4 + 3*s - 6*s**3 - 5*s + 9*s**2 - 5*s**2 - 10*s**2 = 0. Calculate s.
-1, 0
Let g(a) be the first derivative of 15*a**2 + 4*a + 38/3*a**3 + 3*a**4 - 67. Factor g(i).
2*(i + 1)*(i + 2)*(6*i + 1)
Let v(j) = 3*j**2 - 6. Let i(p) = 17 - 17*p**2 + 2*p + 10 + 4. Let f(m) = -2*i(m) - 11*v(m). Determine s, given that f(s) = 0.
2
Let q be 3/(-15)*2 + (-61154)/(-10). Factor 735*x**2 + 6739*x + 156*x**3 + 16555*x + 6606*x - 151*x**3 + 588245 + q*x.
5*(x + 49)**3
Let v(d) be the first derivative of -3*d**5/5 + 27*d**4 - 240*d**3 - 2400*d**2 + 588. Factor v(f).
-3*f*(f - 20)**2*(f + 4)
Let t(j) = j**3 - 60*j**2 + 563*j + 629. Let y be t(48). Determine c so that 0*c + 0 + 2/3*c**3 - 2/3*c**y + 0*c**2 + 0*c**4 = 0.
-1, 0, 1
Let r = 1771022/7 - 252646. Factor 4/7*s**2 + r + 200/7*s.
4*(s + 25)**2/7
Let d be 357/612*(-63)/(-49). Determine p so that 21/8*p**2 + 27/8*p + d = 0.
-1, -2/7
Let m = 31368 - 31364. Factor 1/2*i**4 + 9*i**2 - 27/2 + m*i**3 + 0*i.
(i - 1)*(i + 3)**3/2
Let i(y) be the second derivative of -y**8/26880 + y**7/1440 - y**6/480 - 22*y**4/3 + 77*y. Let s(q) be the third derivative of i(q). Factor s(f).
-f*(f - 6)*(f - 1)/4
Let o(d) be the third derivative of d**9/13608 - d**7/945 - 71*d**3/6 - 19*d**2. Let m(c) be the first derivative of o(c). Factor m(b).
2*