(g) = d*z(g) - 11*q(g). Solve b(y) = 0 for y.
-2, -2/11
Let i be (-1)/(56/160)*(-7)/2. Let v be 3*13/(585/i). Find u such that -v*u + 2/3*u**2 - 4/3 = 0.
-1, 2
Let w(u) be the second derivative of -u**5/90 + 13*u**4/9 + u**3/27 - 26*u**2/3 + 397*u. Factor w(y).
-2*(y - 78)*(y - 1)*(y + 1)/9
Let y(b) be the first derivative of 0*b**2 - 27 + 10/9*b**3 + 0*b - 1/6*b**4. Find q, given that y(q) = 0.
0, 5
Let m(h) be the first derivative of -2*h**3/21 - 10*h**2/7 + 288*h/7 - 1256. Factor m(g).
-2*(g - 8)*(g + 18)/7
Let f be 310/(-15) - (11 + -11 + -21). Let g be 1 - (0 - (3 - 2)). What is q in 1/3*q**5 - f*q**g + 0 + 0*q + q**3 - q**4 = 0?
0, 1
Suppose 4*w = -w + 80. Suppose 57 = 5*i + 3*o + w, -2*o - 31 = -5*i. Factor 1 + 13 - 3 + t**2 - i - 4*t.
(t - 2)**2
Let c be ((-42)/56)/(3/(-20)). Suppose 7*k - 9*k + 10 = 0, c*n - 35 = -5*k. Factor -2/3*h**5 + 0*h**n + 2/3*h**4 + 0*h + 0 + 0*h**3.
-2*h**4*(h - 1)/3
Suppose 5 - 15 = n + 2*z, 0 = 4*z + 20. Let m(u) be the second derivative of -1/6*u**4 - 1/6*u**3 - 1/20*u**5 - 2*u + n*u**2 + 0. Factor m(y).
-y*(y + 1)**2
Suppose -8*y - 67 = 149. Let m be (y/20)/((-216)/64 - -3). Let -24/5 - m*r + 6/5*r**2 = 0. Calculate r.
-1, 4
Let p(l) = 5*l**2 - 21. Let g(r) = -26*r**2 + 30*r**2 - 11 + 3 - 12. Let j(k) = -6*g(k) + 4*p(k). Factor j(q).
-4*(q - 3)*(q + 3)
Let j(o) = 38*o + 49. Let q be j(0). Suppose -u = 4*y - 23, q*u - 54*u + 30 = 3*y. Solve 18/5 - 2/5*m**y - 4/5*m**2 + 6*m - 28/5*m**3 - 14/5*m**4 = 0 for m.
-3, -1, 1
Factor -576*d + 285/2*d**2 + 648 - 25/4*d**3.
-(d - 18)*(5*d - 12)**2/4
Suppose -37*q = q. Let h(x) be the third derivative of 1/630*x**7 - 1/36*x**4 + 1/180*x**6 - 1/18*x**3 + q*x**5 + 0 - 13*x**2 + 0*x. Factor h(w).
(w - 1)*(w + 1)**3/3
Suppose 0 = -11*u + 666 + 126. Let y = 76 - u. Determine m, given that -8*m**2 + m - m**3 + 11 - m**3 + y*m**4 - 7 + m**5 = 0.
-4, -1, 1
Suppose -14*n + 9*n - 102*n = 140*n. Let t(o) be the first derivative of 0*o**4 - 1/27*o**6 + 0*o**2 - 22 + 0*o + n*o**3 - 2/45*o**5. Let t(p) = 0. Calculate p.
-1, 0
Let b(k) = -6*k**3 + 2*k**2 + k - 1. Let y(h) = -33*h**3 - 131*h**2 - 1720*h - 1592. Let j(i) = -5*b(i) + y(i). Factor j(g).
-3*(g + 1)*(g + 23)**2
Let h(n) = 2*n**2 + 138*n - 737. Let t be h(-74). Let -2/7*r**2 + 18/7 + 9*r - r**t = 0. What is r?
-3, -2/7, 3
Factor 25/8*z**2 - 79/4*z + 28 - 1/8*z**3.
-(z - 16)*(z - 7)*(z - 2)/8
Suppose 6*t - 85 = -37. Factor -t*m - 7 + 7 - 28*m**2.
-4*m*(7*m + 2)
Let h be 88/770*((-145)/(-10) + 10). Determine p so that -36/5*p - 61/5*p**3 - 84/5*p**2 - 1/5*p**5 + 0 - h*p**4 = 0.
-6, -1, 0
Factor 8856*c + 1333*c**2 + 1340*c**2 - 4008*c**2 + 1337*c**2 + 9803592.
2*(c + 2214)**2
Factor -8533*p - 327*p**2 + 1953*p + 814*p**3 - 818*p**3 + 23*p**2 - 29400.
-4*(p + 6)*(p + 35)**2
Let x(l) be the third derivative of -l**6/180 + 14*l**5/45 - 77*l**4/36 + 50*l**3/9 + 2844*l**2. Factor x(j).
-2*(j - 25)*(j - 2)*(j - 1)/3
Solve 47/5*q**2 + 13*q + 0 + 1/5*q**4 - 17/5*q**3 = 0 for q.
-1, 0, 5, 13
Let 108*k**2 + 0 + 15/2*k**5 + 0*k + 234*k**3 - 87*k**4 = 0. What is k?
-2/5, 0, 6
Let k(f) = -2*f**3 + 9*f**2 + 8*f - 15. Let p be k(5). Suppose 3 = -11*z + 15*z + b, -2*z - 5*b - 21 = p. Determine a so that 4*a - 12 - 1/3*a**z = 0.
6
Let 227373*d**2 - 8*d + 227540*d**2 + 105*d**3 - 277*d - 455088*d**2 - 5*d**4 = 0. Calculate d.
-1, 0, 3, 19
Let w(t) be the second derivative of -t**5/30 + 247*t**4/18 + 250*t**3/9 - 496*t**2/3 + 6412*t. Factor w(a).
-2*(a - 248)*(a - 1)*(a + 2)/3
Let z(l) = -6*l**2 + 20*l - 99. Let v(o) = o**2 - 3*o + 16. Let y(u) = -23*v(u) - 4*z(u). Factor y(k).
(k - 7)*(k - 4)
Factor -2/7*z**3 + 54 + 2/7*z - 54*z**2.
-2*(z - 1)*(z + 1)*(z + 189)/7
Let o(c) = -c**2 + 1186*c - 35800. Let l be o(31). Factor 2559600/11*t**2 + 128880/11*t**3 + 18792000/11*t + 24/11*t**l + 2874/11*t**4 - 4860000/11.
6*(t + 30)**4*(4*t - 1)/11
Suppose 0*q = 5*q - 4*j - 171, -3*q = 2*j - 85. Factor q*x**3 - 15 - 81*x**3 - 27*x - 9*x**2 + 26*x**3 + 27*x**3.
3*(x - 5)*(x + 1)**2
Let m(i) = -i**3 + 44*i**2 + 246*i - 76. Let f be m(49). Let x be 30/(-25)*15/f. Factor 4/9 + 2/9*r + 2/9*r**4 - x*r**2 - 2/9*r**3.
2*(r - 2)*(r - 1)*(r + 1)**2/9
Let k = -10591 - -10593. Factor -2/9*t**5 + 2/9*t**3 + 0*t**4 + 0*t**k + 0 + 0*t.
-2*t**3*(t - 1)*(t + 1)/9
Let 0 + 2/3*z**3 - 1/3*z**4 - 2*z + 5/3*z**2 = 0. Calculate z.
-2, 0, 1, 3
Let f = 453206 + -453204. Factor 0*w + 8/5*w**4 + 0*w**f + 0 + 4/5*w**5 - 12/5*w**3.
4*w**3*(w - 1)*(w + 3)/5
Let c(u) be the second derivative of -u**5/50 - 41*u**4/10 - 264*u**3 - 2160*u**2 + 3*u + 282. Solve c(q) = 0 for q.
-60, -3
Let p(z) be the first derivative of 4/3*z**3 - 68 - 8*z + 2*z**2. Factor p(o).
4*(o - 1)*(o + 2)
Let n = 3 + -1. Suppose 0 = -13*z + 56*z - 86. Find h such that 14*h**2 - 8*h**z - 4*h**2 - n = 0.
-1, 1
Suppose -l = -0*p - 4*p + 42, 3*l = -2*p + 28. Suppose 7*j = 3 + p. Solve 5*w**3 + 2*w**2 - 3*w**3 + 22*w**j - 6*w**3 - 36*w = 0 for w.
0, 3
What is u in 456*u + 147/5*u**2 + 2160 + 3/5*u**3 = 0?
-20, -9
Let i(t) be the first derivative of -1/4*t**2 - 62 - 5/12*t**3 - 1/4*t**4 - 1/20*t**5 + 0*t. Determine l, given that i(l) = 0.
-2, -1, 0
Factor 73/4*i**2 - 1/4*i**3 + 2325 + 440*i.
-(i - 93)*(i + 10)**2/4
Let o(m) be the first derivative of -8/7*m + 10/21*m**3 - 4/35*m**5 - 2/7*m**2 + 1/28*m**4 + 1/42*m**6 + 90. Factor o(c).
(c - 2)**3*(c + 1)**2/7
Let g(s) = -s**2 - 272*s + 21506. Let t be g(-336). Factor -8 - 4*w - 1/2*w**t.
-(w + 4)**2/2
Let a(p) be the second derivative of -p**4/48 + 43*p**3/8 - 127*p**2/4 - 3*p + 82. Determine j so that a(j) = 0.
2, 127
Let d = 115 - 335. Let b be (d/(-8))/11 + 2. Let 0 - 3*u**3 + b*u**4 - 4*u - 10*u**2 = 0. What is u?
-2/3, 0, 2
Let s = 16539 + -16539. Let t(o) be the third derivative of -1/18*o**3 + 0*o**5 - 1/90*o**6 + s - 19*o**2 + 1/24*o**4 + 0*o. Factor t(g).
-(g + 1)*(2*g - 1)**2/3
Let p = 11/9 + 19/36. Let g be (-26 - 9686/(-377))/((-2)/13). Solve -p*f - 9/4*f**g + 1/2 = 0 for f.
-1, 2/9
Let j(s) = -3*s**2 + 24*s + 474. Let n(w) = -19*w**2 + 142*w + 2841. Let r(x) = 39*j(x) - 6*n(x). Factor r(d).
-3*(d - 40)*(d + 12)
Suppose 0*a + 34*a**3 + 86*a**3 + 12*a**4 + 37*a**2 - 77*a**2 + 24*a**4 + 4 - 12*a - 108*a**5 = 0. Calculate a.
-1, -1/3, 1/3, 1
Let u = -797/270 - -44/15. Let y = u + 37/54. Factor -1/6*b**2 + y + 0*b.
-(b - 2)*(b + 2)/6
Suppose 2*q - 16 = -0*u - 4*u, 3*q + 6 = 0. Suppose 0*j + 0*j = u*j. Factor 4*b + 2*b**2 + 0*b**2 + j*b**2.
2*b*(b + 2)
Suppose 41 + 55 = 6*z. Factor -3 - 36*d + z*d + 18*d + d**2.
(d - 3)*(d + 1)
Let f(z) be the third derivative of -z**6/180 + z**5/18 + 7*z**4/9 - 32*z**3/9 - 355*z**2 - 2. Factor f(m).
-2*(m - 8)*(m - 1)*(m + 4)/3
Let q(d) be the first derivative of 3*d**4/4 - 71*d**3 + 2337*d**2/2 + 55473*d + 5984. Suppose q(n) = 0. What is n?
-11, 41
Let b be (2/10)/(40/150). Suppose -o + 206 = -25*o + 127*o. Factor 0 + 1/4*z**o - b*z.
z*(z - 3)/4
Let d = 241501 + -241501. Suppose 1/3*q**4 + 1/2*q**5 + 0 - 1/2*q**3 - 1/3*q**2 + d*q = 0. What is q?
-1, -2/3, 0, 1
Let s(q) be the first derivative of q**6/3 - 234*q**5/5 + 2391*q**4 - 152588*q**3/3 + 340881*q**2 - 911754*q + 3116. Determine n, given that s(n) = 0.
3, 37
Find c, given that -256/5*c**2 - 56/5*c + 256/5*c**4 + 38/5*c**3 + 0 + 18/5*c**5 = 0.
-14, -1, -2/9, 0, 1
Let f(w) = 11*w**3 + 18*w**2 - 229*w + 90. Let c(g) = -11*g**3 - 19*g**2 + 255*g - 90. Let z(p) = 2*c(p) + 3*f(p). Determine q, given that z(q) = 0.
-5, 6/11, 3
Let m(d) be the first derivative of 5*d**4/12 + 5*d**3 - 40*d**2 - 61*d - 65. Let r(n) be the first derivative of m(n). Factor r(j).
5*(j - 2)*(j + 8)
Let o(x) = -358*x - 7516. Let n be o(-21). Solve 10/11*y + 12/11 + 2/11*y**n = 0 for y.
-3, -2
Let b(m) = 21*m**3 + 51*m**2 - 24*m + 6. Let q(n) = -21*n**3 - 51*n**2 + 22*n - 7. Let h(j) = 7*b(j) + 6*q(j). Factor h(u).
3*u*(u + 3)*(7*u - 4)
Suppose -43*i = -47*i - 560. Let s be 5/(-170)*i - 16/136. Suppose 1024/13 + 44/13*y**s - 128*y + 2/13*y**5 + 304/13*y**2 + 290/13*y**3 = 0. What is y?
-8, 1
Let b(v) be the first derivative of v**5 + 225*v**4/4 + 1405*v**3/3 + 2895*v**2/2 + 1710*v + 14029. What is i in b(i) = 0?
-38, -3, -1
Let c be (7 + 1092/(-147))/(9/(-42)). Factor 0*j - 8/5*j**3 + 4/5*j**4 + 2/5*j**5 - 16/5*j**c + 0.
2*j**2*(j - 2)*(j + 2)**2/5
Let s(l) be the third derivative of l**6/40 - 981*l**5/