 8*m**2 + m - 5. Let h be u(-3). Factor -3*f**3 + 19 - f + h*f - 13.
-3*(f - 2)*(f + 1)**2
Determine f, given that 6974/21*f + 332 + 2/21*f**2 = 0.
-3486, -1
Find g, given that 28*g**2 - g**2 + 11*g**2 - 315*g - 3*g**3 - g**2 + 29*g**2 = 0.
0, 7, 15
Let p(s) be the second derivative of -s**4/12 + s**3/6 - 2*s + 4. Let b(z) = 17*z**2 - 28*z - 4. Let g(t) = 3*b(t) + 12*p(t). Determine q so that g(q) = 0.
-2/13, 2
Let v = 295 + -259. Let i be (1 - 4/20)*30/v. Solve 2*j**2 - 2/3*j**3 + i - 2*j = 0 for j.
1
Factor -3/7*n**3 - 480/7*n - 102/7*n**2 + 7200/7.
-3*(n - 6)*(n + 20)**2/7
Let z(b) be the third derivative of 1/12*b**5 + 0*b - 2*b**2 + 1/8*b**4 - 4/3*b**3 + 77. Determine i, given that z(i) = 0.
-8/5, 1
Suppose -140*h - 1 = 3*k - 139*h, 5*h = 2*k - 39. Factor -2/17*f**3 + 0*f + 0 + 32/17*f**k.
-2*f**2*(f - 16)/17
Let n(s) be the third derivative of -s**9/12096 + s**8/192 - 3*s**7/56 - s**5/30 - 25*s**4/12 - 289*s**2. Let o(m) be the third derivative of n(m). Factor o(i).
-5*i*(i - 18)*(i - 3)
Let h(f) = f**2 - 2*f. Let u(m) = -m**2 - 3*m**2 - 16*m + 2 - 17. Let q(l) = h(l) + u(l). Find g, given that q(g) = 0.
-5, -1
Let v(i) be the second derivative of 2*i**6/15 - 17*i**5/5 + 29*i**4 - 182*i**3/3 - 392*i**2 - 781*i - 2. Solve v(p) = 0.
-1, 4, 7
Suppose 2*d + 22 = 4*p, 3*p - 13 - 16 = 4*d. Find b such that p*b**5 - 613*b**2 - 8*b**3 + 619*b**2 - b**3 = 0.
-2, 0, 1
Let p be 1267/385 + (-71)/781. Factor -181/5*t**2 - p + 106/5*t + 21/5*t**3.
(t - 8)*(3*t - 1)*(7*t - 2)/5
Let k be 27 + 7*((-936)/84 - -10). Let f(h) be the third derivative of 1/70*h**6 + 0*h**5 + 0 - 2/735*h**7 + 0*h**3 + k*h**2 + 0*h - 2/21*h**4. Factor f(c).
-4*c*(c - 2)**2*(c + 1)/7
Let y(i) = i**2 - 1. Let p = -32 - -60. Let v(r) = 25 + 3*r**2 - 11*r**3 - 18 - 25*r + 10*r**3. Let z(u) = p*y(u) + 4*v(u). Find t, given that z(t) = 0.
0, 5
Let r(s) be the third derivative of s**7/840 - s**6/480 - 7*s**5/80 + s**4/96 + 5*s**3/6 + 8*s**2 - 182*s - 2. Determine v so that r(v) = 0.
-4, -1, 1, 5
Let f(m) = -3 - 17 - 5*m**2 - 5*m**3 + 2*m**3 + 0*m**3 - 14*m. Let s(v) = -5*v**3 - 9*v**2 - 27*v - 37. Let c(g) = -7*f(g) + 4*s(g). Solve c(l) = 0.
-2, -1, 4
Let x be 5/40*(-125 + 129). Determine u, given that 1/4*u**2 - x*u - 15/4 = 0.
-3, 5
Let k(t) be the first derivative of t**5 + 2303*t**4/4 - 922*t**3/3 + 11135. Suppose k(w) = 0. Calculate w.
-461, 0, 2/5
Let k be (-184)/161 + 58/14. Find g, given that -10*g**k - 4*g**3 + 15*g**2 - 15 + 19*g**3 - 5*g = 0.
-3, -1, 1
Suppose 1476*x**2 + 3/4*x**3 + 968256*x + 211725312 = 0. Calculate x.
-656
Let t(o) = o**2 - 318*o - 7841. Let j be t(-23). Determine d so that -4/3*d**3 - 1/3*d**j + 0 + 4/3*d + 1/3*d**4 = 0.
-1, 0, 1, 4
Let m(b) = b - 25. Let s be m(-10). Let o = s + 60. Factor -4*g**2 + o*g + 4*g**3 + 0*g**3 - 25*g.
4*g**2*(g - 1)
Let o(j) be the first derivative of j**5/390 + j**4/156 - 2*j**3/39 + j**2/2 + 13*j - 26. Let r(f) be the second derivative of o(f). Factor r(k).
2*(k - 1)*(k + 2)/13
Suppose 36 = 4*h - 4*q, -7*h - 3*q + 5 = -2*h. Let z = 26814 + -26811. Let -13/10*l**2 + 6/5*l - 1/10*l**h + 3/5*l**z - 2/5 = 0. What is l?
1, 2
Suppose 35*n**5 - 6*n**5 - 12*n + 16*n**2 + 3*n**3 + 5*n**3 - 4*n**5 - 16*n**4 - 21*n**5 = 0. Calculate n.
-1, 0, 1, 3
Let t(o) be the first derivative of 5/6*o**3 - 4*o + 1/8*o**4 + 1/2*o**2 - 104. Factor t(b).
(b - 1)*(b + 2)*(b + 4)/2
Find l, given that 2888/9*l**3 - 1042568/9 - 2888/9*l + 347522/3*l**2 + 2/9*l**4 = 0.
-722, -1, 1
Let d be ((-2)/(-5))/1*-5. Let w be d/4*(8 - (-280)/(-30)). Suppose -w*x**2 - 8/3*x - 8/3 = 0. Calculate x.
-2
Let l(p) be the second derivative of -p**9/10080 - p**8/2240 + p**7/420 + p**6/60 - 89*p**4/12 + 137*p. Let t(h) be the third derivative of l(h). Factor t(d).
-3*d*(d - 2)*(d + 2)**2/2
Factor 60 + 4*d**2 + 21419*d - 21511*d + 28.
4*(d - 22)*(d - 1)
Let k(h) be the first derivative of h**3 + 33/2*h**2 - 196 + 54*h. Factor k(j).
3*(j + 2)*(j + 9)
Let m(t) be the first derivative of -t**5/70 + 23*t**4/42 - 80*t**3/21 + 76*t**2/7 + 37*t - 197. Let q(b) be the first derivative of m(b). Solve q(v) = 0.
2, 19
Suppose 2784*h - 2599*h = 225 + 145. Factor 3/5*o**h - 117/5*o + 222/5.
3*(o - 37)*(o - 2)/5
Let l(j) be the second derivative of -5/2*j**2 + 1/12*j**6 + 5/24*j**4 + 5/4*j**3 + 90*j + 0 - 3/8*j**5. Suppose l(r) = 0. Calculate r.
-1, 1, 2
Let f(p) = -p**3 - 19*p**2 + 44*p + 46. Let m be f(-21). Let c(x) = -3*x**2 - 70*x - 359. Let q(w) = w - 1. Let h(v) = m*q(v) + c(v). Solve h(s) = 0.
-11
Let p(m) be the third derivative of -2/21*m**7 + 0*m**3 + 0*m**4 - 1/4*m**5 - 13/48*m**6 + 2*m + 0 + 7*m**2 - 5/672*m**8. What is i in p(i) = 0?
-6, -1, 0
Let f(p) be the second derivative of -11*p**5/20 - 3*p**4/4 + 5*p**3/2 + 47*p**2/2 - 96*p. Let i(d) be the first derivative of f(d). What is r in i(r) = 0?
-1, 5/11
Let d be ((-52)/(-6) - -2)*(-5451)/(-316). Suppose -7*x + d = 170. Factor -12/7 + 6/7*v**x + 2*v.
2*(v + 3)*(3*v - 2)/7
Let h(y) = 16*y**3 + 858*y**2 + 62214*y + 1492992. Let k(w) = -2*w**3 + w**2 - w. Let l(u) = h(u) + 6*k(u). Suppose l(o) = 0. Calculate o.
-72
Suppose -26*a = -34*a - 80. Let l be (a/8)/((-60)/108). Let 0*y - l*y**4 + 3*y**2 + 0 + 3/4*y**5 + 0*y**3 = 0. Calculate y.
-1, 0, 2
Let i be (18/(-15) - -3)/(627/1045). Suppose 0 = 3*m + 4*o + 8, -o - 2 = -0*m - m. Suppose 2/5*c**i - 6/5*c**2 + m*c + 8/5 = 0. What is c?
-1, 2
Let y(p) = 75*p**3 + 20*p**2 - 455*p + 420. Let x(j) = -11*j**3 - 3*j**2 + 65*j - 60. Let n(s) = -20*x(s) - 3*y(s). Determine i so that n(i) = 0.
-4, 1, 3
Let d(y) = -7*y**2 + 37*y. Suppose -3*w = 4*p + 6, -7*w = -3*w + p + 8. Let a(r) = -3*r**2 + 18*r. Let q(u) = w*d(u) + 5*a(u). Factor q(k).
-k*(k - 16)
Let x(f) be the second derivative of -2/5*f**6 - 1/5*f**5 + 0*f**2 + f**4 + 0*f**3 + 2/21*f**7 + 15 - 4*f. Factor x(n).
4*n**2*(n - 3)*(n - 1)*(n + 1)
Let q(w) be the second derivative of -w**7/84 - 2*w**6/3 - 111*w**5/40 + 2*w + 2376. Let q(u) = 0. What is u?
-37, -3, 0
Let -200/11 + 78/11*o**4 + 38/11*o**3 + 18/11*o**5 - 262/11*o**2 - 40*o = 0. Calculate o.
-2, -5/3, -1, 2
Let q(n) = 7*n**3 + 4*n**2 + 3*n + 3. Let z = 85 - 82. Let x(k) = 6*k**3 + 4*k**2 + 2*k + 2. Let v(p) = z*x(p) - 2*q(p). Determine l, given that v(l) = 0.
-1, 0
Solve -1136/13*h**3 - 2176/13 - 256*h**2 - 4384/13*h - 152/13*h**4 - 2/13*h**5 = 0.
-68, -2
Let v(k) = k**3 - 19*k**2 + 38*k - 36. Let w be v(16). Let d be (-175)/w + (-5)/(-20). Factor -10/7*q + 2/7*q**2 + d.
2*(q - 4)*(q - 1)/7
Let n(g) be the third derivative of -g**7/1575 + 2*g**6/75 + 19*g**5/50 + 3*g**4/2 - 3646*g**2. Solve n(t) = 0.
-3, 0, 30
Suppose -4*v + 41 = 12921*s - 12918*s, 5*s = 55. Factor 4/3*i**3 + 0*i - 2/3*i**v + 0 - 2/3*i**4.
-2*i**2*(i - 1)**2/3
Let z(r) be the third derivative of -1/5*r**6 - 109*r**2 + 3/10*r**5 - 2*r**3 + 1 + 3/112*r**8 - 1/35*r**7 + 5/8*r**4 + 0*r. Let z(l) = 0. Calculate l.
-4/3, -1, 1
Let c(d) be the first derivative of -d**4/2 - 32*d**3/3 - 15*d**2 - 1693. What is v in c(v) = 0?
-15, -1, 0
Let k(i) = -i**3 - 143*i**2 - 284*i - 280. Let r be k(-141). Find w, given that -3/2*w**3 - 27/2*w**r - 81/2*w - 81/2 = 0.
-3
Let i = 246 + -244. Factor i*z**2 + 2146 - 102*z + 2125 - 1670 - 3*z**2 + 2*z**2.
(z - 51)**2
Factor -1122002/13 - 2996/13*z - 2/13*z**2.
-2*(z + 749)**2/13
Let p = 18 - 84. Let a = p - -68. Factor 87*n - 43*n - 45*n - n**3 - a*n**2.
-n*(n + 1)**2
Let g(c) = c**2. Let j(y) be the second derivative of -y**4/6 - 2*y**3/3 - 2*y + 37. Let u(z) = 2*g(z) - j(z). Factor u(h).
4*h*(h + 1)
Suppose 6*i = 9*i - 6. Let o(u) = u + 11. Let g be o(-7). Solve -2*s**g + 40*s + 10*s**i - 8*s**4 - 45*s + 5*s**5 = 0.
-1, 0, 1
Solve 0 - 340/9*b - 520/9*b**3 + 2/3*b**4 + 854/9*b**2 = 0 for b.
0, 2/3, 1, 85
What is y in 2/9*y**4 + 10/3*y**3 + 0 + 16*y**2 + 24*y = 0?
-6, -3, 0
Suppose 0 = 3*o + 54 - 48, i + 2*o = 4. Suppose -5*q = 4*u - 12, -i*u = -3*u + 10. Find c, given that 3/5*c**q + 0 + 0*c**2 + 0*c - 1/5*c**5 + 0*c**3 = 0.
0, 3
Suppose -11*u = 15*u - 38610. Factor -309*t + 3645 - u*t**2 + 39*t + 1490*t**2.
5*(t - 27)**2
Let l = -10 - -14. Suppose 297*j = 239*j + 116. Suppose 38/9*i**3 - 8/9 - 50/9*i**j - 14/9*i**l + 2/9*i**5 + 32/9*i = 0. What is i?
1, 2
Let o(v) be the second derivative of -v**4/8 - 89*v**3 - 23763*v**2 + 229*v. Suppose o(u) = 0. Calculate u.
-178
Factor -