+ 6)/2
Suppose 10*i + 67 = 257. Suppose -i + 4 = -3*m. Factor -2*b**4 - 6*b**3 - 2*b**5 - 4*b**4 - 3*b**4 - b**m.
-3*b**3*(b + 1)*(b + 2)
Let v(p) be the second derivative of -p**6/180 + p**5/120 + 43*p**4/72 - p**3/36 - 7*p**2/2 - 1934*p. Let v(k) = 0. What is k?
-6, -1, 1, 7
Factor -611/8*f + 0 - 1/8*f**2.
-f*(f + 611)/8
Let g(h) = 2*h**2 - 18*h + 16. Let j(k) = k**2 - 1. Suppose -5*c = 3*a - 7*a + 44, -2*a = 4*c + 4. Let r(f) = a*j(f) - 2*g(f). Solve r(t) = 0.
-19, 1
Let x(n) be the second derivative of 0 + 1/27*n**4 + 1/90*n**5 + 0*n**2 + 1/27*n**3 + 7*n. Suppose x(b) = 0. What is b?
-1, 0
Let u(p) be the second derivative of 1/16*p**4 + 27/8*p**3 + 9 + 0*p**2 + 4*p. Let u(i) = 0. What is i?
-27, 0
Let h be ((-45)/(-6))/((-1380)/(-368)). Suppose 1/6*f**3 - 7/6*f + 2/3 + 1/3*f**h = 0. Calculate f.
-4, 1
Suppose 0 = -15*v + 674 - 329. Let w be v/4 + -1 + (-14)/(-56). Factor -4/5*b**3 - 2/5*b**4 - 2/5 + 2/5*b + 4/5*b**2 + 2/5*b**w.
2*(b - 1)**3*(b + 1)**2/5
Let m(j) be the second derivative of j**4/66 - 14*j**3/11 + 117*j**2/11 - 4*j + 59. Factor m(o).
2*(o - 39)*(o - 3)/11
Suppose 190 = 58*s + 74. Let l = 7 - -5. Factor 24 + c**3 + 4*c**3 - 8*c**3 + l*c - 6*c**s.
-3*(c - 2)*(c + 2)**2
Let i(d) = -2*d**3 - 10*d**2 + 9*d + 23. Let s be i(6). Let h be (-3)/5 - 559/s. Solve -h*t**2 + 0*t + 0 + 2/11*t**3 = 0 for t.
0, 1
Factor -18*b**3 + 2*b**4 - 3480*b**2 - 6 + 7015*b**2 - 3477*b**2 - 78*b + 42.
2*(b - 3)**2*(b - 2)*(b - 1)
Factor 4760/9*r + 2312/9 + 2450/9*r**2.
2*(35*r + 34)**2/9
Let y = 247 + -239. Let z be y/(-54)*6*2 - -4. Let z*v**2 + 0*v + 4/9*v**4 + 0 - 8/3*v**3 = 0. What is v?
0, 1, 5
Let h(b) be the third derivative of 5*b**6/8 + 89*b**5/2 - 359*b**4/8 + 18*b**3 + 2643*b**2 + 2. Determine t so that h(t) = 0.
-36, 1/5
Let c be (-1509)/(-4) + 3/(-12). Let w = 381 - c. Factor 5/2*s**w + 15/2*s**2 + 25/2*s - 10 - 25/2*s**3.
5*(s - 4)*(s - 1)**2*(s + 1)/2
Let c(i) be the second derivative of i**4/42 + 25*i**3/21 - 12*i**2 - i - 8655. Factor c(n).
2*(n - 3)*(n + 28)/7
Let p be -2 - 17*(-14 - -13). Let c(k) = k**2 - 9*k + 14. Let n be c(2). Factor -5/2*h**4 + p*h**2 + 15/2 - 20*h + n*h**3.
-5*(h - 1)**3*(h + 3)/2
Let v(l) be the second derivative of -44/5*l**5 - 2/21*l**7 - 100*l**2 + 30*l**3 + 0 + 8/5*l**6 + 38/3*l**4 + 210*l. Solve v(z) = 0 for z.
-1, 1, 2, 5
Let l be 16/(-12) - 7/(32781/(-35638)). Let o = l - -2/223. Solve 12/7*w**5 + 16*w**2 - 32/7*w**4 - 48/7*w - o*w**3 + 0 = 0 for w.
-2, 0, 2/3, 1, 3
Let w(m) be the second derivative of -m**9/3024 - 5*m**8/1344 - m**7/63 - m**6/36 - 16*m**4/3 - 80*m. Let d(z) be the third derivative of w(z). Factor d(n).
-5*n*(n + 1)*(n + 2)**2
Let h = 36 - 4. Let t(j) = -j**2 - 6*j - 6. Let l be t(-4). Solve 32 + 5*b**l - h = 0.
0
Suppose -342/11*a**2 - 2/11*a**4 + 16*a**3 + 344/11 - 16*a = 0. Calculate a.
-1, 1, 2, 86
Let p = 175 + -154. Suppose 3*i - 35 = -4*n, -35 = -5*i - p*n + 19*n. Determine j, given that 8/5*j**3 + 0 - 2*j**i + 0*j + 0*j**2 - 16/5*j**4 = 0.
-2, 0, 2/5
Let a be 20/(-4) - (2164 - 4)/5. Let x = 441 + a. Factor 0 - 2/11*p**5 + 0*p + 4/11*p**3 + 0*p**2 + 2/11*p**x.
-2*p**3*(p - 2)*(p + 1)/11
Let t be (56/(-24))/(-7) + 32/12. Let i(k) = 8*k + 59. Let d be i(-7). Solve -12/5 + t*c**2 + 0*c**d + 0*c - 3/5*c**4 = 0 for c.
-2, -1, 1, 2
Find t, given that -645*t**3 + 616*t**4 + 43890*t**2 + 60*t**5 + 304*t**4 - 43965*t**2 + 80*t = 0.
-16, -1/3, 0, 1/2
Let c(l) be the second derivative of l**6/18 - 11*l**5/6 + 275*l**4/12 - 1160*l**3/9 + 800*l**2/3 - l + 587. Determine q so that c(q) = 0.
1, 5, 8
Factor 1936/5 + 2/5*y**2 - 492/5*y.
2*(y - 242)*(y - 4)/5
Let 0 + 465/7*u**4 - 468/7*u + 471/7*u**3 - 465/7*u**2 - 3/7*u**5 = 0. Calculate u.
-1, 0, 1, 156
Suppose -1764*j + 3112 = 2200 - 2616. Solve j - 2/3*b**3 + 46/9*b**2 + 70/9*b = 0.
-1, -1/3, 9
Suppose -29*s + 13*s + 12752 = 0. Suppose s*u = 799*u. Let 0 + u*x + 4/5*x**3 - 1/5*x**4 - 4/5*x**2 = 0. What is x?
0, 2
Suppose 2*u = 8*u - 162. Determine f so that -77 - 36*f + 362*f**3 - 708*f**3 + 358*f**3 - 7 + u*f**2 = 0.
-2, 7/4
Let u(t) be the first derivative of -1296/7*t + 36/7*t**2 - 99 - 1/21*t**3. Suppose u(g) = 0. Calculate g.
36
Solve 64/7*y**3 - 256/7*y - 2/7*y**4 + 144/7*y**2 - 544/7 = 0.
-2, 2, 34
Let l(w) be the first derivative of -2*w**6/3 + 56*w**5/5 - 69*w**4 + 592*w**3/3 - 280*w**2 + 192*w + 5469. Find o, given that l(o) = 0.
1, 2, 4, 6
Let r(u) be the third derivative of 0*u - 2 - 3/5*u**3 + 2*u**2 + 1/300*u**5 - 17/120*u**4. Factor r(p).
(p - 18)*(p + 1)/5
Solve -709*f**2 + 711*f**2 + 116*f + 202*f = 0.
-159, 0
Let i(u) = 25*u**2 + 221*u - 786. Let r(o) = 5*o**2 + o - 1. Let s(n) = -i(n) + 6*r(n). Factor s(v).
5*(v - 39)*(v - 4)
Let s = 196453 - 196453. Let z be (-30)/76 - 2/(-4). Suppose z*w**2 - 6/19*w + s = 0. Calculate w.
0, 3
Let y(l) be the third derivative of 76*l**2 - 8/7*l**3 + 0*l + 1/42*l**4 + 1/210*l**5 + 0. Find r, given that y(r) = 0.
-6, 4
Let d be 6*21/((-756)/(-24)). Suppose 5*g - 4*k = 16 + 19, -4*g = d*k + 8. Factor 0 + 8/7*v**2 - 4/7*v**g - 4/7*v.
-4*v*(v - 1)**2/7
Let y(d) = -2*d**2 + 756*d - 269362. Let l(j) = j**2 + 282*j + 1. Let t(q) = -3*l(q) - 3*y(q). Factor t(s).
3*(s - 519)**2
Let o(q) be the second derivative of -234*q + 0 - 3/2*q**3 + 1/20*q**5 + 0*q**4 + 0*q**2. Factor o(z).
z*(z - 3)*(z + 3)
Suppose 79/4*u**2 + 1/4*u**3 + 1083 + 418*u = 0. Calculate u.
-38, -3
Suppose 5751 - 41094 = 33*o. Let c = o + 1085. Suppose -16/3*q**2 + 2/3*q**3 + c*q - 12 = 0. What is q?
2, 3
Let a(x) = 2*x**4 - 8*x**3 - 3*x**2 + 1. Let f(j) = -2*j**5 - 20*j**4 - 106*j**3 - 103*j**2 - 36*j + 3. Let r(s) = 3*a(s) - f(s). Factor r(w).
2*w*(w + 1)**2*(w + 2)*(w + 9)
Let r(l) be the second derivative of l**4/9 - 253*l**3/18 + 21*l**2/2 - 1619*l. Factor r(d).
(d - 63)*(4*d - 1)/3
Let w(c) = c**2 + c. Let r(l) = 38*l**2 + 169*l + 6 + 14 - 203*l - 4*l**3. Let n(m) = r(m) - 10*w(m). Factor n(g).
-4*(g - 5)*(g - 1)**2
Let s = -187/56 - -251/56. Let 60/7*j + 76/7*j**2 + 24/7*j**3 + s = 0. What is j?
-2, -1, -1/6
Let o(z) be the first derivative of -4/7*z**2 + 116 - 104/7*z**3 - 1521/14*z**4 + 0*z. Factor o(y).
-2*y*(39*y + 2)**2/7
Let f be (-285)/(-75) - 2/(-7 - 3). Let 8*j**2 + 38*j**5 - 68*j**5 + 32*j**5 - 8*j**3 - 2*j**f = 0. Calculate j.
-2, 0, 1, 2
Let p = 35291/46980 + -14/11745. Find x, given that 1/4*x - x**5 + 0 - x**4 + p*x**3 + x**2 = 0.
-1, -1/2, 0, 1
Let w(g) be the first derivative of 2*g**3/9 - 245*g**2/3 + 488*g/3 + 3326. Solve w(d) = 0 for d.
1, 244
Let u(o) be the second derivative of -o**5/4 + 95*o**4/12 + 160*o**3/3 + 110*o**2 + 1886*o. Suppose u(h) = 0. What is h?
-2, -1, 22
Let x = -3/4165 - -129181/91630. Let u = 59/44 + x. Factor -u*a**2 + 0 + 1/2*a.
-a*(11*a - 2)/4
Let a(w) be the first derivative of -w**4 - 140/9*w**3 - 1024/9*w - 704/9*w**2 - 175. Factor a(j).
-4*(j + 1)*(3*j + 16)**2/9
Let v be (55/(-2))/(52/(-104)). Let a be 49*(6 + (-320)/v)*1. Factor 28/11*c + a + 2/11*c**2.
2*(c + 7)**2/11
Suppose 6*h - 83 + 245 = 0. Let m be 15*(h/(-45))/3. Find x, given that 0 - 6/7*x**5 - 24/7*x**2 - 36/7*x**m + 48/7*x + 30/7*x**4 = 0.
-1, 0, 2
Let u(s) = s**4 + 7*s**3 + 0*s**3 - s - 6*s**3. Let a(p) = -8*p**4 - 2*p**3 - 8*p**2 + 11*p. Let l(m) = -2*a(m) - 14*u(m). Find f, given that l(f) = 0.
0, 1, 2
Suppose -298/3*p - 2/3*p**2 + 304 = 0. What is p?
-152, 3
Let a(x) be the second derivative of x**4/28 - 13*x**3/7 - 261*x**2/14 + 3649*x. What is b in a(b) = 0?
-3, 29
Let k(u) be the third derivative of 0*u + 0 + 0*u**3 - 1/168*u**8 - 3/4*u**4 + 0*u**5 + 1/6*u**6 + 50*u**2 + 0*u**7. Let k(v) = 0. Calculate v.
-3, -1, 0, 1, 3
Let b = -38 - -40. Let m(w) = -3*w**b + 75 + 3*w + w + 2*w**2 + 17*w. Let x(o) = -4*o**2 + 106*o + 374. Let k(i) = -28*m(i) + 6*x(i). Factor k(u).
4*(u + 6)**2
Suppose 6*m = 247790 - 247766. Let o(g) be the first derivative of -m - 1/12*g**3 - 3/4*g**2 - 2*g. Let o(v) = 0. What is v?
-4, -2
Let j(q) = -4*q**3 - q**2 + 18*q + 2. Suppose 22 = -z + 4*p, -2*z + 5*p = -6*z + 17. Let x(n) = n - 1. Let c(h) = z*x(h) + j(h). Determine f so that c(f) = 0.
-2, -1/4, 2
Suppose -3*c - 42 = 6*k, 0*k - 2*k = 13 + 3. Suppose 14/3 - 16/3*n + 2/3*n**c = 0. What is n?
1, 7
Let u(p) be the second derivative of -p + 91 + 1/5*p**3 - 1/6*p**4 + 9/5*p**2 + 1/50*p**5. Suppose u(x) = 0. What is x?
-1, 3
Let o(q)