e -2*x + 46 = t + 26, x - t = 13. Let g be x/((-1155)/14) - (-235)/75. Suppose -2/3 + 2/3*h**g - 2/3*h + 2/3*h**2 = 0. Calculate h.
-1, 1
Let x(r) = 4*r**3 + 355*r**2 + 2566*r + 16. Let f be x(-8). Determine k so that 160/3*k + 10/3*k**2 - 5/3*k**3 - f = 0.
-6, 4
Let k(p) = 24*p**3 - 32*p**2 - 194*p + 430. Let u(v) = v**4 + 73*v**3 - 97*v**2 - 580*v + 1289. Let h(n) = 7*k(n) - 2*u(n). Factor h(g).
-2*(g - 8)*(g - 3)**2*(g + 3)
Suppose -380 = 29*w - 105*w. Let d(v) be the second derivative of 0*v**2 + 0*v**3 - 2/15*v**6 + 0*v**4 + 25*v + 0*v**w + 0. Solve d(t) = 0.
0
Suppose -273 = -5*u - x, -u + 37 + 22 = -2*x. Let y be 22/u + (-8)/(-5). Determine f so that -18*f**3 - 13*f**3 + f**y - 2*f**2 + 29*f**3 - f**4 = 0.
-1, 0
Let q(k) be the second derivative of -2*k - 1/6*k**4 + 2*k**2 + 1/45*k**6 - 1/10*k**5 - 55 + 7/9*k**3. Factor q(a).
2*(a - 3)*(a - 2)*(a + 1)**2/3
Factor -108 - 325/7*o - 11/7*o**2.
-(o + 27)*(11*o + 28)/7
Let u be (-325)/30 + 22/2. Let k(m) be the third derivative of 15*m**2 + 0 + u*m**4 - 1/15*m**5 + 0*m**3 + 0*m. Factor k(q).
-4*q*(q - 1)
Let o(y) = -2*y**2 - y + 1. Let z(u) = 13*u**2 + 79*u + 66. Let k(q) = -q**3 + 2*q**2 - 5*q + 6. Let j be k(2). Let g(l) = j*o(l) - z(l). Solve g(f) = 0 for f.
-14, -1
Let c be ((1520/(-48))/19)/((-2)/(-6)). Let i be (-4)/(-12) - c/3. Solve -6/7*g + 2/7*g**3 + 0 + 4/7*g**i = 0 for g.
-3, 0, 1
Suppose -2*o - 29*s + 28*s + 1 = 0, 3*o = 4*s - 4. Let f(r) be the second derivative of -4*r + 1/4*r**4 + 2*r**3 - 1 + o*r**2. Factor f(b).
3*b*(b + 4)
Find d, given that -488/7*d + 4/7*d**2 - 1500/7 = 0.
-3, 125
Let q(z) be the third derivative of z**7/1155 + 7*z**6/660 - z**5/33 - 4*z**4/33 + 3015*z**2. Factor q(r).
2*r*(r - 2)*(r + 1)*(r + 8)/11
Let r = 292940 - 292938. Determine g so that 6/5*g**r + 16/5 - 2/5*g**4 - 8/5*g**3 + 28/5*g = 0.
-4, -1, 2
Let y(o) = o**3 + 13*o**2 + 9*o + 18. Suppose 5*k + 15 = -2*s, k - s + 3 = -0*k. Let z(d) = 2*d - 1. Let q(a) = k*y(a) - 21*z(a). Let q(i) = 0. What is i?
-11, -1
Let t(a) = -a**3 + a**2 - 113*a - 1180. Let k be t(-7). Factor 1/5*m**k + 1/5 + 3/5*m**2 + 3/5*m.
(m + 1)**3/5
Find r such that -201/8*r + 1/8*r**2 - 101/4 = 0.
-1, 202
Solve -41907 - 5*v**4 - 5*v**3 + 127*v + 26*v**2 + 41987 + 13*v + 34*v**2 = 0.
-2, -1, 4
Solve -14475*x + 7101*x + 75*x**2 + 252 - 4*x**3 + 7110*x + x**3 = 0.
2, 21
Let n(z) be the first derivative of z**4/16 - 13*z**3/3 + 671*z**2/8 - 155*z + 7349. Determine d, given that n(d) = 0.
1, 20, 31
Let b = -68100 - -68100. Let 3/2*w**2 + 1/4*w + b + 5/4*w**3 = 0. What is w?
-1, -1/5, 0
Let m(f) be the first derivative of -f**4/34 + 50*f**3/51 - 22*f**2/17 - 96*f/17 - 1235. Let m(v) = 0. What is v?
-1, 2, 24
Let k(c) = 2*c**3 + 14*c**2 + 5*c + 14. Let l be k(-6). Factor -2*b**2 - l + b**2 + 6*b**2 + 11.
5*(b - 3)*(b + 3)
Let l(f) be the second derivative of -f**4/48 - 25*f**3/6 - 979*f**2/8 - 519*f - 2. Factor l(z).
-(z + 11)*(z + 89)/4
Let k(t) be the first derivative of -3*t**5/2 - 245*t**4/8 + 1385*t**3/6 - 1755*t**2/4 + 315*t + 1749. Determine j, given that k(j) = 0.
-21, 2/3, 1, 3
Let k(s) be the second derivative of 0 + 39*s + 11/21*s**4 + 6/35*s**5 + 7*s**2 - 4*s**3 + 1/105*s**6. Let k(h) = 0. Calculate h.
-7, 1
Let j = -53/27 - -481/135. Let i be (-8)/(-5) + 6 + -6. Factor -j*a**2 - i*a + 0 - 2/5*a**3.
-2*a*(a + 2)**2/5
Find g, given that -7368/7*g + 2/7*g**2 + 6785928/7 = 0.
1842
Let w be -8*(-13)/(1976/57)*1/5. Factor w*m**3 + 9/5*m + 3/5 + 9/5*m**2.
3*(m + 1)**3/5
Suppose 238/15*w**2 - 36/5*w**3 + 264/5*w + 448/15 - 2/15*w**4 = 0. Calculate w.
-56, -1, 4
Let y(i) be the second derivative of -i**5/60 + 113*i**4/9 + 907*i**3/18 + 227*i**2/3 + i - 364. Factor y(h).
-(h - 454)*(h + 1)**2/3
Let b = 1546422 + -7732109/5. Let g(f) = f**3 + 4*f**2 + 2*f - 2. Let z be g(-2). What is a in -2/5*a**4 + b*a**5 + 4/5*a**z - 2/5*a**3 + 1/5*a - 2/5 = 0?
-1, 1, 2
Suppose 0 = 17*j - 133 - 377. Let b be 5/j*(-12)/(-14). Suppose 4/7*q**2 + b + 5/7*q = 0. Calculate q.
-1, -1/4
Factor 9056 + 335683*o**2 - 8217*o - 335687*o**2 - 835*o.
-4*(o - 1)*(o + 2264)
Let f = -51 - -1. Let r = -46 - f. Solve 76/15*y**2 + 28/15*y**r + 4/15 - 2*y - 26/5*y**3 = 0.
2/7, 1/2, 1
Suppose -5*y = -4*g - 2127, -3*y - 687 - 1448 = 4*g. Let c = -533 - g. Determine h, given that 2*h + c - 3/2*h**2 - 1/2*h**3 = 0.
-4, 0, 1
Solve -2*o**3 - 356078*o**2 - 1116*o + o**3 + 355796*o**2 - 1112 = 0.
-278, -2
Let f(x) = 6*x**3 + 612*x**2 + 1336*x + 680. Let v(o) = 2*o**3 + 206*o**2 + 445*o + 226. Let c(g) = 6*f(g) - 20*v(g). Determine d so that c(d) = 0.
-110, -1
Let b = 78 + -75. Suppose -4*k = -20, -5*s + 30 = k + b*k. Let 15*m**2 + 5*m**3 + 3*m**4 + 0*m**3 + s*m + 4*m + 7*m**3 = 0. Calculate m.
-2, -1, 0
Let o = -11 + 14. Let r be (2/42)/(71/213). Solve -16/7 - 24/7*b - 9/7*b**2 - r*b**o = 0.
-4, -1
Let j(l) = -14*l + 69. Let k be j(4). Factor -18*z + 15*z**2 - 20 + 5 - k*z**2 - 5.
2*(z - 10)*(z + 1)
Let s(q) be the second derivative of -q**4/120 + 23*q**3/10 - 137*q**2/20 + q - 444. Factor s(a).
-(a - 137)*(a - 1)/10
Let w(a) be the second derivative of -7*a**4/48 + 269*a**3/24 + 39*a**2/2 + 1288*a - 1. Factor w(m).
-(m - 39)*(7*m + 4)/4
Let c = 121 + -103. Let s be -4 + c/(-30) + 291/60. Factor -3/2*o + s*o**2 + 5/4.
(o - 5)*(o - 1)/4
Let v = 1437 + -1443. Let r be 7/((-63)/54) - v. Factor -16/3*d**2 - 10/3*d**3 - 8/3*d - 2/3*d**4 + r.
-2*d*(d + 1)*(d + 2)**2/3
Let y(t) = -3*t + 62. Let v be y(19). Suppose -24*c**2 + 28*c**4 + 4*c**v - 8*c**3 + 4*c + 12 + 23*c**4 - 39*c**4 + 0 = 0. What is c?
-3, -1, 1
Suppose -17*w + 16*w + 3*n + 24 = 0, 0 = -w - n + 28. Factor 4*a - 55*a**2 + w*a + 12*a**3 + 10*a**3 + 14*a - 12*a**3.
5*a*(a - 1)*(2*a - 9)
Determine c, given that -2/15*c**2 - 192/5 - 82/15*c = 0.
-32, -9
Let g be 2*(-1)/4*-2. Let k(a) = -a**2 + a + 1. Let x(c) = 7*c + 5 - 6*c**2 + 2*c**2 + 11*c**2. Let s(n) = g*x(n) + 5*k(n). Determine b, given that s(b) = 0.
-5, -1
Let m(r) be the first derivative of r**3/3 + 8*r**2 - 192*r - 276. Find v, given that m(v) = 0.
-24, 8
Let j(i) = 15*i**2 - i. Let a(r) = -163*r**2 - 105*r + 1674. Let p(m) = -2*a(m) - 22*j(m). Factor p(t).
-4*(t - 31)*(t - 27)
Solve -801 - 3/4*v**2 - 402*v = 0 for v.
-534, -2
Factor -80/7*j**3 + 2/7*j**4 + 226/7*j**2 + 0 - 148/7*j.
2*j*(j - 37)*(j - 2)*(j - 1)/7
Let r = 1187004 - 1187004. What is x in -3362/3*x - 2/3*x**3 + r - 164/3*x**2 = 0?
-41, 0
Let t(w) = 3*w + 80. Let y be t(-24). Find i such that 6*i - 6*i**3 - 4*i**4 + 7*i**4 + 5*i**2 - y*i**2 = 0.
-1, 0, 1, 2
Let h be (-2)/(-33) - (-1196)/(-132) - -12. What is q in -2/3*q**h + 10/3*q**2 + 0 + 0*q - 10/3*q**4 + 2/3*q**5 = 0?
-1, 0, 1, 5
Let s be (-660)/(-140) + (-4)/(-14). Suppose 0 = -2*n + 10, -5*c + s*n - 10 = n. Determine y so that 2*y**c - y**2 - 6*y + 7*y = 0.
-1, 0
Let s(b) = b**3 - 8*b**2 + b - 8. Suppose -a = -34 + 26. Let w be s(a). Determine d, given that w*d**5 - 2*d + 4*d**3 - 3*d**5 - d + 2*d**3 = 0.
-1, 0, 1
Let r(v) = -v + 31. Let l be r(9). Suppose 3*o - 14 = l. Find m, given that 406 + 8*m**4 + 16*m - 406 + 4*m**5 - o*m**3 - 16*m**2 = 0.
-2, 0, 1
Let k(h) be the first derivative of h**5/10 - 97*h**4/8 - 50*h**3/3 + 49*h**2 + 4512. Determine s so that k(s) = 0.
-2, 0, 1, 98
Let n(a) be the second derivative of 5*a**4/12 - 14465*a**3/3 + 41847245*a**2/2 + 2*a + 5310. Determine r, given that n(r) = 0.
2893
Find r, given that -193*r**2 + 106 + 19*r + 183 + 236*r - 129*r**2 - r**5 - 254*r**3 + 33*r**4 = 0.
-1, 1, 17
Suppose 5*q + 0 = -0. Suppose 0 = -q*s - 3*s - 5*y + 6, 0 = 4*s + 2*y - 8. Factor l - 2 - l + 4*l - 2*l**s.
-2*(l - 1)**2
Let n(i) = -16*i**2 - 92*i - 26. Let s(o) be the second derivative of 17*o**4/12 + 47*o**3/3 + 27*o**2/2 - 10*o - 2. Let u(w) = 6*n(w) + 4*s(w). Factor u(k).
-4*(k + 6)*(7*k + 2)
Factor 3*s**2 + 0*s**2 + 2*s**2 - 1980 + 372*s**3 - 377*s**3 + 480*s.
-5*(s - 6)**2*(s + 11)
Let m = 8134/12207 + 4/12207. Let v(u) be the first derivative of 21 + 0*u + 6/5*u**5 + 0*u**2 + 3/2*u**4 + 1/3*u**6 + m*u**3. Factor v(r).
2*r**2*(r + 1)**3
Let x(v) be the first derivative of -4*v**5/5 - 29*v**4 - 188*v**3/3 + 370*v**2 - 432*v - 2988. Determine k, given that x(k) = 0.
-27, -4, 1
Find j such that 2/3*j**4 + 688*j**2 + 10496/3 - 8000/3*j - 188/3*j**3 = 0.
4, 82
Let s be (-4)/6 + (-126238)/210. Let n = s + 602. Suppose 3/