6 + 0. Solve l(s) = 0.
-2/7, 0, 1, 2
Factor -5*b**2 + 138 + 8*b - 410 + 112*b - 264 - 4.
-5*(b - 18)*(b - 6)
Let q(c) = -c**3 - 11*c**2 - c - 9. Let x be q(-11). Determine u, given that -34*u**2 + 55*u + 63*u**3 - 58*u**3 + 94*u**x = 0.
-11, -1, 0
Suppose 5*c = -2*q + 3 - 5, -5*q + 2*c - 34 = 0. Let t = q + 7. Solve 15*n**2 - t - n**3 - 43*n**2 + 25*n**2 - 3*n = 0 for n.
-1
Let q(f) = 6 - 3*f**3 + 5*f + 15*f - 44*f + 24*f**2. Let p(o) = 9*o**3 - 70*o**2 + 72*o - 16. Let i(r) = 3*p(r) + 8*q(r). Factor i(u).
3*u*(u - 4)*(u - 2)
Let d(s) be the third derivative of -4*s**2 + 0*s**3 + 0 - 1/1140*s**6 + 15*s + 13/285*s**5 + 0*s**4. Suppose d(g) = 0. Calculate g.
0, 26
Find f such that 143*f + 4*f**3 + 200*f + 313*f**2 - 172*f**2 + 365*f**2 - 91*f = 0.
-126, -1/2, 0
Let p = -46 - -53. Let g be (-2)/p + 45*8/84. Suppose -1 + 19*u**2 - g*u + 1 - 9*u**2 = 0. What is u?
0, 2/5
Let t = -26 - -31. Let g be t - ((-8 - -4) + 6). Find w, given that 22*w + 13 + 32*w**2 - 5 - 4 + 14*w**g = 0.
-1, -2/7
Factor 3238*s - 1106*s - 1522*s - 2*s**2.
-2*s*(s - 305)
Let n(v) be the second derivative of -v**7/5040 + 31*v**6/2160 + 16*v**3/3 + 3*v - 5. Let f(i) be the second derivative of n(i). Find h, given that f(h) = 0.
0, 31
Suppose 0 - 1/6*k**2 - 877/6*k = 0. Calculate k.
-877, 0
Determine a so that -2048/5 - 4064/5*a**2 - 4/5*a**5 + 5056/5*a + 1148/5*a**3 - 88/5*a**4 = 0.
-32, 1, 4
Let q(t) be the first derivative of t**3 - 1164*t**2 - 2331*t - 2541. Factor q(r).
3*(r - 777)*(r + 1)
Let l(f) be the second derivative of f**4/54 - 182*f**3/27 + 179*f**2/3 + 3556*f - 2. Factor l(i).
2*(i - 179)*(i - 3)/9
Let l(t) be the second derivative of t**4/60 - t**3/15 - 4*t**2/5 - 20*t - 22. Suppose l(h) = 0. What is h?
-2, 4
Let y(z) be the third derivative of 0*z - 11/225*z**6 - 11/450*z**5 + 2 - 30*z**2 - 1/630*z**8 + 1/30*z**4 + 0*z**3 - 31/1575*z**7. Find g such that y(g) = 0.
-6, -1, 0, 1/4
Let l = -8 + 13. Suppose -2*u - l*b = 13, 0*u - b - 4 = -u. Let a(t) = 2*t**2 + 4*t - 6. Let n(m) = -m**2 + m. Let q(d) = u*a(d) + 3*n(d). Factor q(f).
-(f - 6)*(f - 1)
Let a be (-1)/(5/(-3)) + (-912)/(-80). Let f be 11/a + (-27)/162. Let -f*i**2 + 0*i + 3/4 = 0. What is i?
-1, 1
Let l(k) be the first derivative of -10*k**3 - 26*k**2 - 6286. Determine p so that l(p) = 0.
-26/15, 0
Factor -3*l + 1/3*l**3 + 0 + 0*l**2.
l*(l - 3)*(l + 3)/3
Suppose -26*w = -289 - 387. Factor -94*i - 163 + 25*i**2 - 45 - w + 34 - 396*i.
5*(i - 20)*(5*i + 2)
Suppose -3*c - 10 = -4*c. Suppose -7*y + 3*y**2 + y - 7*y - 6 + c*y = 0. Calculate y.
-1, 2
Let o = 158 - -383. Let d = -538 + o. Determine v so that 1/5*v**4 - 1/5*v**d + 0 + 0*v + 1/5*v**5 - 1/5*v**2 = 0.
-1, 0, 1
Let i(m) be the second derivative of -m**4/12 + 107*m**3/18 + 74*m**2/3 - 6848*m. Suppose i(f) = 0. What is f?
-4/3, 37
Suppose -48*x = 4*x + 260. Let i be (2/4)/(x/(-20)). Factor -6/17*o + 8/17 - 2/17*o**i.
-2*(o - 1)*(o + 4)/17
Let i be (2/(-3))/((-1)/6). Let f = 10 + i. Solve -n - 20*n**2 - f*n - n - 4 - 8*n**3 = 0 for n.
-1, -1/2
Let g(z) be the third derivative of 1/660*z**6 + 7/44*z**4 - 7*z**2 + 0*z + 0*z**3 - 1/33*z**5 + 0. What is s in g(s) = 0?
0, 3, 7
Let f(i) be the second derivative of -i**5/5 + 248*i**4/3 - 10414*i**3 + 60516*i**2 + 558*i. Factor f(u).
-4*(u - 123)**2*(u - 2)
Let n(u) = -6*u**4 + 191*u**3 - 116*u**2 - 408*u. Let d(a) = a**4 - 32*a**3 + 20*a**2 + 68*a. Let s(f) = 38*d(f) + 6*n(f). Factor s(m).
2*m*(m - 34)*(m - 2)*(m + 1)
What is g in -330/7*g**2 - 2/7*g**3 + 1004/7*g - 96 = 0?
-168, 1, 2
Let d = 289 + -287. Find s, given that 75 - 5*s**2 + 3*s**2 - 85*s + 0*s**3 + 2*s**3 + 7*s**d + 3*s**3 = 0.
-5, 1, 3
Let z = -1711 - -898. Let b = z - -816. Factor 1/3*o - 1/3*o**b + 1/3 - 1/3*o**2.
-(o - 1)*(o + 1)**2/3
Let p(r) = -r**3 - 2*r**2 + 22*r + 59. Let v be p(-3). Let l(d) be the first derivative of 4/3*d**3 + 36*d + 12*d**v + 10. What is q in l(q) = 0?
-3
Suppose 2013/2*s**3 + 25947/4*s + 3/4*s**5 + 4743*s**2 + 51*s**4 + 0 = 0. What is s?
-31, -3, 0
Let d be (21/14)/((-156)/(-312)). Suppose 2/5*x**4 - 36/5*x - 22/5*x**2 - 16/5 + 0*x**d = 0. Calculate x.
-2, -1, 4
Suppose -43*s + 13 + 144 = -15. Suppose -8/9 + s*o + 44/9*o**2 = 0. What is o?
-1, 2/11
Determine c, given that 26/3*c - 12 + 32/9*c**2 - 2/9*c**3 = 0.
-3, 1, 18
Let y(z) be the third derivative of -z**5/90 - 5*z**4/9 + 1693*z**2. Suppose y(u) = 0. What is u?
-20, 0
Let q = -86418 + 86421. Determine o so that 0 - 6/7*o**2 - 1/7*o**q + o = 0.
-7, 0, 1
Let w(b) = b**2 - 60*b + 899. Let n be w(29). Let q(t) be the second derivative of 1/6*t**4 - 18*t - t**2 + n + 0*t**3. Let q(l) = 0. What is l?
-1, 1
Let h(y) = -1609*y**2 - 1623*y - 2. Let n(u) = -11260*u**2 - 11360*u - 10. Let p(k) = 15*h(k) - 2*n(k). Suppose p(q) = 0. What is q?
-1, -2/323
Factor 814/3*i + 1/3*i**2 + 165649/3.
(i + 407)**2/3
Let g(o) be the first derivative of 9*o**2 - 1/210*o**5 + 1/42*o**4 + 0*o**3 + 0*o - 14. Let y(i) be the second derivative of g(i). Solve y(m) = 0 for m.
0, 2
Let k(r) = -r**2 - 6*r + 1. Let p be k(-4). Factor 15 + 0 - 5*n - p*n**2 - 6*n**2 + 5*n**3.
5*(n - 3)*(n - 1)*(n + 1)
Let h(n) be the first derivative of 0*n**2 + 0*n**3 - 39 + 22*n - 1/12*n**4. Let j(l) be the first derivative of h(l). Let j(f) = 0. What is f?
0
Let n = -343268/3 - -114423. Find w, given that n*w**3 + 2/3*w + w**2 + 0 = 0.
-2, -1, 0
Let o = 5402 - 10803/2. Let l(f) be the third derivative of 3/16*f**4 + o*f**3 + 1/40*f**5 + 0 - 7*f**2 + 0*f. Determine i so that l(i) = 0.
-2, -1
Let j = 21952 + -329278/15. Factor -2/15 + 4/15*v**2 - 2/15*v**5 + 4/15*v**3 - j*v - 2/15*v**4.
-2*(v - 1)**2*(v + 1)**3/15
Let d(h) be the second derivative of -h**7/21 - 1096*h**6/15 - 399673*h**5/10 - 8037543*h**4 + 32551308*h**3 - 49027896*h**2 - 50*h. Factor d(i).
-2*(i - 1)**2*(i + 366)**3
Let v(t) be the second derivative of -t**5/30 + 1015*t**4/18 - 86021*t**3/3 + 85683*t**2 - 42*t + 3. Factor v(a).
-2*(a - 507)**2*(a - 1)/3
Let f(x) be the third derivative of 19*x**5/120 + 13*x**4/16 + x**3/6 - 2*x**2 - 1096*x. Suppose f(d) = 0. What is d?
-2, -1/19
Let d be (-1)/(4 + (-3 - 810/805)). Factor d*m**3 + 239*m**3 + 36*m**5 - 336*m**4 - 62*m**2 + 7*m**2 - 73*m**2.
4*m**2*(m - 8)*(3*m - 2)**2
Let p = 13 - 12. Let o be p + -5 + 49 - 3. Solve -2*c**3 - 4*c**2 + o - 42 = 0 for c.
-2, 0
Let f(w) be the second derivative of -w**7/1470 + w**6/210 - w**5/105 + 17*w**3/2 - 214*w. Let v(c) be the second derivative of f(c). Factor v(g).
-4*g*(g - 2)*(g - 1)/7
Let o(q) be the second derivative of q**6/105 + 5*q**5/42 + 2*q**4/21 - 16*q**3/3 - 297*q**2/2 + 197*q. Let j(b) be the first derivative of o(b). Factor j(d).
2*(d + 4)**2*(4*d - 7)/7
Find a such that 484*a + 10648/3 + 22*a**2 + 1/3*a**3 = 0.
-22
Let b = 1381411/4767 + -49/681. Factor -3/7*q**2 - 156/7*q - b.
-3*(q + 26)**2/7
Let t = -201 + 209. Factor -3*q - 13*q**2 - 15*q**3 + 18*q + t*q**2 + 5.
-5*(q - 1)*(q + 1)*(3*q + 1)
Let g(o) be the second derivative of o**6/1620 + o**5/30 + o**3/2 - 25*o**2/2 + 91*o. Let w(z) be the second derivative of g(z). Let w(i) = 0. What is i?
-18, 0
Let v = -2915 + 349801/120. Let w(q) be the second derivative of 0*q**2 + 33*q - v*q**5 - 1/18*q**3 + 1/24*q**4 + 0. Solve w(x) = 0.
0, 1, 2
Let h(r) be the second derivative of 314432*r**7/315 - 633488*r**6/75 + 485554*r**5/25 - 126073*r**4/90 + 614*r**3/15 - 3*r**2/5 - r - 1698. Factor h(j).
2*(j - 3)**2*(68*j - 1)**3/15
Let -29391*z + 3*z**2 + 58787*z - 29390*z = 0. Calculate z.
-2, 0
Suppose 4*h - 150 = -2*t, -4*t - h + 235 = -t. Solve -m**3 - 41*m**2 - t*m - 286 + 508 - 261 = 0.
-39, -1
Let d(t) be the third derivative of -t**7/2100 + t**6/100 - 37*t**5/600 + 7*t**4/40 - 4*t**3/15 + 5587*t**2 + 2. Determine h, given that d(h) = 0.
1, 2, 8
Suppose -3*n + 2*l = -1, -4*n = n - 3*l - 3. Let b be n/2*(-99)/(-405)*10. Factor 7*j**2 + 2/3 + 5/3*j**4 - b*j - 17/3*j**3.
(j - 1)**3*(5*j - 2)/3
Suppose -2512 = -4*b - 4*y, 8*y + 10 = 3*y. Factor 4802 + 588*s**2 + 2*s**4 - 56*s**3 - 3374*s + b*s + 0*s**4.
2*(s - 7)**4
Let d = 13052 - 13029. Let o(l) be the second derivative of d*l - 1/2*l**4 + 0 + 1/20*l**6 + 0*l**2 + 0*l**5 + 0*l**3. Determine m so that o(m) = 0.
-2, 0, 2
Let i(o) be the third derivative of o**6/200 + 1327*o**5/100 + 10634*o**2. Factor i(j).
3*j**2*(j + 1327)/5
Let o(q) be the third