9812 - 238*g**2.
(g - 121)**2*(g + 4)
Let a(p) be the second derivative of -139*p - 1/15*p**6 - 2/21*p**7 - 5/6*p**4 - 13/3*p**3 + 6*p**2 + 3/2*p**5 + 0. Suppose a(o) = 0. What is o?
-3, -1, 1/2, 1, 2
Suppose -8*m + 30*m = 8492. Let v = 389 - m. Determine c so that -3/4*c**2 - v + 15/4*c = 0.
1, 4
Let a(x) be the first derivative of 4 - 1/165*x**6 - 10*x + 0*x**2 - 1/110*x**5 + 0*x**3 + 0*x**4. Let i(r) be the first derivative of a(r). Factor i(d).
-2*d**3*(d + 1)/11
Suppose -c + 10 = 2*o, 4*c + o - 2*o - 4 = 0. Let a be ((-35)/4)/(c/(-8)). Factor 4*y**4 - 2*y**2 + 40*y - 40*y**3 - y**2 - 36 + a*y**2.
4*(y - 9)*(y - 1)**2*(y + 1)
Let f = -601 + 595. Let v be ((-120)/630)/((-2)/(-57)) - f. Factor -24/7*j + v*j**2 - 4.
4*(j - 7)*(j + 1)/7
Let n(h) be the second derivative of 0 + 14/3*h**3 + 0*h**2 + 9*h + 1/20*h**5 + 1/180*h**6 - 1/3*h**4. Let u(w) be the second derivative of n(w). Factor u(i).
2*(i - 1)*(i + 4)
Let v(a) be the second derivative of a**5/80 + a**4/16 - 59*a**3/12 - 15*a**2 + 1826*a. Suppose v(n) = 0. Calculate n.
-12, -1, 10
Let m(v) = -11*v**3 - 381*v**2 - 12652*v - 34608. Let n(p) = 2*p**3 + p + 3. Let o(w) = -m(w) - 4*n(w). Find u such that o(u) = 0.
-62, -3
Suppose 0 = -243*y + 209*y + 149 + 21. Let d(u) be the first derivative of -12/5*u**y - 13*u**4 + 0*u - 64/3*u**3 - 8*u**2 + 7. Let d(s) = 0. What is s?
-2, -1/3, 0
Suppose -15*t + 9 = -3291. Let a be 2/9 - (-75)/27. Factor t*y**2 - 484/3*y**a - 64*y + 16/3.
-4*(y - 1)*(11*y - 2)**2/3
Let s(h) = 5*h**3 + 199*h**2 + 1883*h + 4721. Let w(u) = u**3 - 8*u - 1. Let t(c) = -s(c) + 4*w(c). Find p, given that t(p) = 0.
-189, -5
Let -28*s - 77*s + 450 - 3*s**2 - 54*s + 58*s - 118*s = 0. Calculate s.
-75, 2
Let w = -15/32263 - -138827839/322630. Let k = w - 430. Factor -k*g**2 + 3/10 + 1/5*g - 1/5*g**3.
-(g - 1)*(g + 1)*(2*g + 3)/10
Suppose -2*u - u - 75 = -5*t, 55 = 5*t + u. Let k = t - 8. Solve -5 - 9*h**3 + 2*h**k + 2*h**2 - 3*h**3 + 8 + 48*h + 29 = 0.
-1, 4
Solve -1/3*r**2 + 37/3*r - 62 = 0.
6, 31
Let u(m) be the third derivative of m**5/15 + 38*m**4 + 8664*m**3 - 283*m**2. Solve u(z) = 0.
-114
Let j(m) be the third derivative of 2*m**7/105 - 2*m**6/15 - 6*m**5/5 - 10*m**4/3 - 14*m**3/3 + 4421*m**2. Let j(n) = 0. What is n?
-1, 7
Let j(z) = -555*z**3 - 545*z**2 - 20*z - 15. Let q(i) = 279*i**3 + 272*i**2 + 11*i + 9. Let p(x) = 3*j(x) + 5*q(x). Factor p(g).
-5*g*(g + 1)*(54*g + 1)
Factor -252*h**2 - 250*h**2 + 1430*h - 249*h**2 + 746*h**2 + 5*h**4 - 1430*h**3.
5*h*(h - 286)*(h - 1)*(h + 1)
Let x be (-3)/9*2*6. Let z(u) = u + 7. Let f be z(x). Factor f*h**2 + h**3 + h**2 - 3*h**3 - 2*h.
-2*h*(h - 1)**2
Let x(u) be the third derivative of -u**5/20 + 53*u**4/4 + 107*u**3/2 - u**2 + 60. Find y, given that x(y) = 0.
-1, 107
Let f be (-34770)/(-8113) + (-48)/21. Suppose 10/3*n - f - 3/2*n**2 + 1/6*n**3 = 0. What is n?
1, 2, 6
Suppose -301020*q + 147905*q**2 + 5*q**4 + 692*q**3 + 174*q**3 + 200533 - 49153 + 864*q**3 = 0. What is q?
-174, 1
Let 597*u + 75 + 39/4*u**5 - 267/4*u**3 - 969/4*u**4 + 2829/4*u**2 = 0. Calculate u.
-1, -2/13, 2, 25
Solve 51*w**2 + 2*w**3 - 1520 - 189*w**2 + 45953*w - 46997*w = 0 for w.
-5, -2, 76
Let t be 1/(-5) - -1 - (1314/45 + -29). Factor -t*u**2 - 39/5*u - 36/5.
-3*(u + 1)*(u + 12)/5
Let z(d) be the second derivative of -12 + 11/18*d**4 + 2*d**3 + 1/30*d**5 + d + 0*d**2. Solve z(f) = 0 for f.
-9, -2, 0
Suppose 3237*u**2 - 69*u**4 + 26223 - 36*u**4 + 3*u**5 - 30555 + 741*u**3 + 456*u = 0. What is u?
-2, 1, 19
Suppose 46006 = 17*f - 12*f - 3*p, -2*p = f - 9196. Factor 55*g**3 + 5669 + 2331 + 1260*g**2 + g**4 + f*g + g**3 + 5*g**3.
(g + 1)*(g + 20)**3
Suppose 5*g - 12*f + 7*f = -1175, 485 = -2*g - f. Let o be ((-5)/(50/(-4)))/((-56)/g). Solve 0 + o*t**2 + 9/7*t + 3/7*t**3 = 0 for t.
-3, -1, 0
Let s(f) be the first derivative of -3/10*f**5 - 15/8*f**4 + 15/4*f**2 + 9*f - 5/2*f**3 - 91. Determine z, given that s(z) = 0.
-3, -2, -1, 1
Let d(u) be the second derivative of -u**7/42 - 7*u**6/10 - 13*u**5/2 - 19*u**4/2 + 707*u**3/6 - 441*u**2/2 - 120*u + 4. Factor d(a).
-(a - 1)**2*(a + 7)**2*(a + 9)
Let a(r) = -32*r**2 + 18 + 33*r**2 - 3*r - 37 - r. Let w be a(7). Factor w*i**2 - 10/7*i - 4/7.
2*(i - 1)*(7*i + 2)/7
Let t(d) be the second derivative of 0*d**2 - 1/110*d**5 - 3/11*d**3 - 1 - 1/11*d**4 + 56*d. Factor t(i).
-2*i*(i + 3)**2/11
Let d be ((-9085)/322 - -28)/(2 - 20/7). Suppose 6 = 4*l - 0*l - u, -8 = -3*l - u. Let 1 + d*x**l - x = 0. Calculate x.
2
Factor 145/6 - 5/6*d - 145/6*d**2 + 5/6*d**3.
5*(d - 29)*(d - 1)*(d + 1)/6
Let u be (9 + 704/(-77))/((-2)/2624). Let m = 188 - u. Solve 10/7*w**3 + 0*w + 0 + 2/7*w**5 - m*w**2 - 8/7*w**4 = 0 for w.
0, 1, 2
Let r be (-2528)/(-384) + 25/(-20). Factor 38/3*p - r*p**2 - 4.
-2*(p - 2)*(8*p - 3)/3
Let g be (-636608)/(-7896) - 34/(-799). Factor -g - 44/3*j - 2/3*j**2.
-2*(j + 11)**2/3
Let z = -703/15 + -2494/5. Let c = z + 547. Factor 2*i + 2/3*i**2 + c.
2*(i + 1)*(i + 2)/3
Let q(u) be the second derivative of u**4/24 - 523*u**3/3 + 273529*u**2 + 2807*u. Factor q(h).
(h - 1046)**2/2
Suppose -440 = 16*s - 6456. Determine l, given that 755*l**2 - 375*l**2 - s*l**2 + 49*l + 35*l = 0.
-21, 0
Suppose 0 = 208*t - 301 - 531. Let l(a) be the second derivative of 1/6*a**t + 1/3*a**3 - 6*a - 2*a**2 + 0. Factor l(h).
2*(h - 1)*(h + 2)
Let n = 1562/13 - 10921/91. Let t(r) be the first derivative of -n*r**4 + 2/21*r**3 + 0*r + 2/35*r**5 + 0*r**2 - 22. Suppose t(k) = 0. What is k?
0, 1
Let f(t) be the first derivative of 1/6*t**6 + 16*t + 4*t**4 - 7/5*t**5 - 8/3*t**3 - 8*t**2 - 111. Factor f(m).
(m - 2)**4*(m + 1)
Let u be (-20)/77*40992/(-3660). Let -30/11 + 61/11*p - u*p**2 + 1/11*p**3 = 0. Calculate p.
1, 30
Let o(c) = c + 29. Let n be o(-47). Let v = -16 - n. Factor 6 - 16/3*z - 2/3*z**v.
-2*(z - 1)*(z + 9)/3
Let g(a) be the second derivative of a**4/36 - 272*a**3/9 - 545*a**2/6 - 531*a + 8. Determine i, given that g(i) = 0.
-1, 545
Let r be 28/(-12) - 15*14/(-70). Factor -1/3*u**4 + 0 + r*u**3 + 1/3*u**2 - 2/3*u.
-u*(u - 2)*(u - 1)*(u + 1)/3
Let q(n) = -n**2 - n - 1. Let d(k) = 8*k**2 + 588*k - 569. Let g(u) = d(u) + 9*q(u). Factor g(t).
-(t - 578)*(t - 1)
Let l be -12*(12 + -13 + 6/8). Determine s, given that -9/5*s**2 + 9/5 + 3/5*s - 3/5*s**l = 0.
-3, -1, 1
Factor -4065*j**2 - j**4 - 192*j**3 + 2976*j**2 + 258*j**3.
-j**2*(j - 33)**2
Find j, given that -170436*j - 5169*j**2 + 547600 + 733*j**2 - 7*j**3 + 651704*j + 337172*j + 13*j**3 = 0.
-2/3, 370
Suppose 16*b**4 - 33*b**4 + 20*b**4 - 23*b**4 + 116*b**2 + 168*b**3 - 72*b = 0. What is b?
-1, 0, 2/5, 9
Let w = 60 + -40. Let u = w - 32. Let g(c) = 2*c**4 + 2*c**3 + 6*c**2 + 6*c. Let i(v) = -v**2 - v. Let j(k) = u*i(k) - 2*g(k). Let j(q) = 0. Calculate q.
-1, 0
Let s(x) be the second derivative of 139*x + 7/3*x**3 - 1/24*x**4 + 0 - 27/4*x**2. Factor s(l).
-(l - 27)*(l - 1)/2
Let y(c) be the third derivative of c**8/392 + 4*c**7/35 - 9*c**6/20 - 9*c**5/7 - 21*c**2 - 2*c - 6. What is u in y(u) = 0?
-30, -1, 0, 3
Let u be (-7 - 186/(-24)) + (-126)/(-56). Let c(j) be the second derivative of 0*j**5 + 0*j**2 + 0 + 0*j**u + 0*j**4 + 18*j - 1/6*j**6 + 5/42*j**7. Factor c(q).
5*q**4*(q - 1)
Suppose 0 = 4*y + 2*x - 542, -y = 3*y - 2*x - 530. Factor -10 + 278*r**2 - 9*r**3 - r**4 - 27*r - y*r**2 - 169*r**2.
-(r + 1)**2*(r + 2)*(r + 5)
Let b(f) be the second derivative of f**4/4 - 8*f**3 - 54*f**2 - 566*f. Factor b(m).
3*(m - 18)*(m + 2)
Let j(x) = -x**3 - x - 1. Let w(d) = -4*d**2 - 2. Let o(a) = a + 14. Let v be o(-6). Let h = 7 - v. Let f(q) = h*w(q) + 2*j(q). Factor f(g).
-2*g*(g - 1)**2
Let x(y) = 30*y**2 + 78*y + 66. Let s(q) = -q**3 - 2*q - 2. Let c(b) = -3*s(b) + x(b). Solve c(j) = 0.
-6, -2
Let l = -32452 - -32457. Let s(r) be the second derivative of 144/11*r**2 + 1/165*r**6 + r - 8*r**3 + 97/66*r**4 + 1/5*r**l + 28. Factor s(f).
2*(f - 1)**2*(f + 12)**2/11
Let m be ((-1)/(24/80))/(5/(-18)). Suppose -3*o + 14 = 4*l, -3*l - m = -18. Factor 0 + 0*k + 0*k**3 + 0*k**o + 0*k**4 + 1/6*k**5.
k**5/6
Let h(a) = -3*a**2 - 15*a. Let p be h(-6). Let j(z) = -2*z - 34. Let d be j(p). Let -3*u - 10*u**d + 19*u**2 - 14*u**2 - u**4 + u - 4*u**3 = 0. What is u?
-2, -1, 0
Let q be 298056/9240 + (-4)/(-168)*6. Factor 0*g + 18*g**4 + 0 + 8/5*g**2 + 64/5*g**3 - q*g**5.
-2*g**2*(g - 1)*(9*g + 2)**2