*u - 174 = -4*p + 163, 4*p - 5*u - 367 = 0. Let c be -2*33/p + 1. Let -1 + j - c*j**2 = 0. What is j?
2
Let z(k) = k**2 - 12*k - 32. Let n be z(15). Suppose -13 = -n*t + 13. Suppose 0 - 12/7*g**3 + 8/7*g**t - 2/7*g + 8/7*g**4 - 2/7*g**5 = 0. Calculate g.
0, 1
Let x be ((-17)/(-3))/(1001/(-252) + 4). Solve -323*r**3 - x*r**4 + 148*r**4 + 127*r**3 - 4*r**5 = 0 for r.
-7, 0
Let b = 24875 - 24871. Determine q, given that 0*q**b - 1/2*q**5 + 0 - q**2 + 3/2*q**3 + 0*q = 0.
-2, 0, 1
Suppose 56*t - 51*t + 6*x = 134, -2*t + 65 = 3*x. Factor 16/7*a**2 + 0 + 32/7*a - 2*a**3 + 2/7*a**t.
2*a*(a - 4)**2*(a + 1)/7
Solve -14/3*a + 1/3*a**2 + 49/3 = 0.
7
Let m be ((-3155)/66255)/(1/(144/(-2))). Let -26/7*l - m - 2/7*l**2 = 0. What is l?
-12, -1
Let v(a) be the third derivative of -5*a**7/504 - 3*a**6/16 - 5*a**5/12 + a**4/2 - a**2. Let n(w) be the second derivative of v(w). Factor n(i).
-5*(i + 5)*(5*i + 2)
Let j = 1018252 - 1018249. Find n such that -4 - 74/7*n + 24/7*n**j + 158/7*n**2 = 0.
-7, -1/4, 2/3
Let u(r) be the first derivative of -4*r**5/25 - 147*r**4/5 + 396*r**3/5 - 298*r**2/5 - 2029. Determine q so that u(q) = 0.
-149, 0, 1
Let i = 2193 + -3248. Let c = 1057 + i. Solve -2/5*z + 2 + 2/5*z**3 - 2*z**c = 0.
-1, 1, 5
Let n(m) be the first derivative of m**4/2 + 16*m**3 + 23*m**2 + 82. Factor n(t).
2*t*(t + 1)*(t + 23)
Let p be -7*((-5 - -1) + 7). Let l = -19 - p. Suppose -5*w + 9*w**2 + 2*w - 7*w**2 + l*w - w**3 = 0. Calculate w.
0, 1
Let x(m) = -527 + 1054 - 525. Let h(y) = -5*y**2 - 20*y + 35. Let f(a) = -h(a) + 25*x(a). Factor f(c).
5*(c + 1)*(c + 3)
Let q(r) = -2*r. Let t be q(-1). Suppose 6*k - 65*k = -26*k - 99. Factor 72/13*o**k - 4/13 - 120/13*o**t - 46/13*o.
2*(o - 2)*(6*o + 1)**2/13
Let t(j) be the third derivative of j**5/600 - 209*j**4/240 - 7*j**3/2 - 277*j**2 + j. What is f in t(f) = 0?
-1, 210
Suppose 56*n - 21 = 49*n. Suppose -4*p = -3*o + 26, -31 = -4*o + n*p - 8. Determine t, given that 72/7*t - 216/7 - 6/7*t**o = 0.
6
Factor -325/2*j - 245/4*j**2 - 6*j**3 - 125/4.
-(j + 5)**2*(24*j + 5)/4
Let x(h) = h**3 - 12*h**2 + 38*h - 11. Let a be x(7). Factor -13*m + 44*m**2 - a*m**3 + 5*m - 8*m.
-2*m*(m - 4)*(5*m - 2)
Let x = -2/25841 + 77527/51682. Find i such that -9/2*i + 9/2*i**3 - 3 + 3/2*i**4 + x*i**2 = 0.
-2, -1, 1
Suppose -11*z = -16*z + 90. Let q = z + -15. Factor 10*k - 11*k**q - 8*k**4 - 2*k**5 + 3*k**3 + 3*k**2 + 4 + k**2.
-2*(k - 1)*(k + 1)**3*(k + 2)
Let s(l) = -7*l + 3. Let g be s(0). Factor -3*n**3 - 3*n**g + 4*n**3 - 234*n**2 + 236*n**2.
-2*n**2*(n - 1)
Let d be (-7)/((-1274)/(-8))*3/6*-42. Let q(j) = -j**2 - 6*j + 3. Let l be q(-6). Find c such that -d + 2/13*c**l - 12/13*c**2 + 22/13*c = 0.
1, 2, 3
Let a(x) be the first derivative of x**5/240 - x**4/96 + x**2 - 34*x - 43. Let w(n) be the second derivative of a(n). Let w(t) = 0. Calculate t.
0, 1
Let i(h) = 10*h**2 + 64*h + 72. Let n be i(-5). Find t such that 8/9*t**3 - 8/3 + 56/9*t - 38/9*t**n = 0.
3/4, 2
Let p(a) be the first derivative of -248/15*a**5 - 44/3*a - 200/3*a**2 - 8/9*a**6 - 1103/9*a**3 - 138 - 889/12*a**4. Solve p(m) = 0 for m.
-11, -2, -1/4
Let t(i) be the second derivative of -i - 1/21*i**4 - 54/7*i**2 + 8/7*i**3 + 9. Factor t(f).
-4*(f - 9)*(f - 3)/7
Let d(g) be the second derivative of 2/5*g**5 - 2/3*g**4 + 2*g + 72*g**2 - 16*g**3 + 1/30*g**6 + 12. Factor d(x).
(x - 2)**2*(x + 6)**2
Let l(v) be the second derivative of v**7/399 + 11*v**6/285 + 21*v**5/190 - 35*v**4/114 - 94*v**3/57 - 48*v**2/19 + 1016*v. What is u in l(u) = 0?
-8, -3, -1, 2
Let n(t) be the second derivative of t**7/168 - 7*t**6/40 - 9*t**5/10 + 503*t**4/12 + 304*t**3 - 1152*t**2 + 172*t + 1. Solve n(j) = 0.
-6, 1, 16
Let q be ((-3)/(-9))/((-62)/(-93))*6/12. Factor -3/4*w**2 + 1/2*w**4 + 0 + q*w**3 + 0*w.
w**2*(w - 1)*(2*w + 3)/4
Let x be 578/912 + (-5)/15. Let p = x + -10/57. Let 0*b**2 + p*b**5 + 1/4*b**3 + 3/8*b**4 + 0*b + 0 = 0. Calculate b.
-2, -1, 0
Let x(u) be the second derivative of -20/9*u**3 - 1/18*u**4 - 47*u + 0 - 100/3*u**2. Determine c, given that x(c) = 0.
-10
Let q(g) = g**3 + g + 1. Let l(n) = 4*n**2 + 3*n**3 - 6*n**3 + 2 - 7*n - 8*n + 0*n**2. Let x(h) = -5*l(h) - 20*q(h). Factor x(r).
-5*(r - 1)**2*(r + 6)
Let d(m) be the first derivative of 0*m - 1/9*m**3 - 2/3*m**2 + 229. Factor d(i).
-i*(i + 4)/3
Suppose -18*x**2 - 212/3*x**3 - 2*x**4 - 280/3 + 184*x = 0. What is x?
-35, -2, 2/3, 1
Let p = 71 + -61. Determine n, given that p*n**2 - 30*n + 15*n**2 - 54*n - 21*n**2 + 441 = 0.
21/2
Suppose -2*u + 9*u = 182. Suppose 0*p + 6*p**2 + 50 + u*p - 22 = 0. What is p?
-7/3, -2
Let o = -35 - -39. Suppose 0 = 5*j + o*u - 9*u, -5*u = -3*j. Determine m, given that -2/3*m - 1/3*m**4 + j*m**2 + 1/3 + 2/3*m**3 = 0.
-1, 1
Let b be (26 - 25) + (14 - -1 - -3). Suppose -b*o + 14*o = -20. Let 5/2*y + 5/4*y**o + 0*y**2 - 5/4 - 5/2*y**3 = 0. What is y?
-1, 1
Let p = 41150 - 41150. Factor 2/3*v**3 + p*v**2 + 0*v - 1/3*v**4 + 0 - 1/3*v**5.
-v**3*(v - 1)*(v + 2)/3
Let o(u) be the second derivative of u**3/6 + 13*u**2/2 - 47*u. Let y be o(-11). Solve 141*a - 290*a + 3*a**y + 140*a = 0.
0, 3
Let m be 4/((-24)/(-14)) - 4/(-6). Let p(a) be the second derivative of 2*a**m + 18*a + 0*a**2 + 0 + 1/3*a**4. Determine x, given that p(x) = 0.
-3, 0
Let j(s) = s**3 - 4*s**2 + 7*s - 1. Let k be j(4). Let o = -24 + k. Suppose n**3 - 2*n**3 - 4*n**2 + 0*n**o = 0. Calculate n.
-4, 0
Suppose -4*z + 16*o + 47 = 13*o, 3 = o. Let w be (-10829)/(-910)*4/z. Factor 2/5 + 3*d**2 + w*d.
(d + 1)*(15*d + 2)/5
Let f(z) be the third derivative of z**6/160 + 43*z**5/80 + 5*z**4 + 39*z**3/2 - 806*z**2. Find d, given that f(d) = 0.
-39, -2
Let n(j) be the second derivative of -1/30*j**6 - 1/252*j**7 + 55*j - 1/6*j**2 - 1/4*j**3 - 7/60*j**5 - 2/9*j**4 + 0. Factor n(b).
-(b + 1)**4*(b + 2)/6
Let w(g) be the first derivative of 3*g**7/1120 - 41*g**6/1440 + 17*g**5/240 + g**4/4 - 59*g**3/3 + 24. Let l(b) be the third derivative of w(b). Factor l(i).
(i - 3)*(i - 2)*(9*i + 4)/4
Let n(q) be the second derivative of -q**7/252 - q**6/9 - 23*q**5/40 - 41*q**4/36 - 8*q**3/9 + 4*q - 39. Determine v, given that n(v) = 0.
-16, -2, -1, 0
Let q(t) be the first derivative of 2*t**3/3 - 106*t**2 - 432*t + 5107. Factor q(f).
2*(f - 108)*(f + 2)
Let o = 3/2947 + 2857/88410. Let i(p) be the second derivative of -2/9*p**4 + 0 + 0*p**3 + 0*p**2 - 25*p - o*p**5. Factor i(z).
-2*z**2*(z + 4)/3
Suppose 3*n + 3*t = 1 + 5, 0 = -n + t + 2. Factor -20*o**2 - 8*o**3 - 16*o**n + 108*o - 108 + 8*o**3 + 4*o**3.
4*(o - 3)**3
Determine b so that -26 + 1/5*b**2 - 21/5*b = 0.
-5, 26
Suppose 6*j + s - 11 = j, -5*j - 3*s + 3 = 0. Solve 235*l**3 - 16 + 545*l**j + 1 + 368*l - 1132*l**2 - 1 = 0 for l.
2/39, 2/5, 1
Let t = 652 + -660. Let a(n) = n**2 + n - 54. Let y be a(t). Solve 10/3*v + y - 2/3*v**3 + 2/3*v**2 = 0.
-1, 3
Let p(t) be the third derivative of -t**7/1050 + 47*t**6/75 - 17099*t**5/150 - 8977*t**4/5 - 109443*t**3/10 - 5647*t**2. Find l, given that p(l) = 0.
-3, 191
Suppose -101234 - 943*w**3 - 2*w**4 - 599418*w**2 - 1190820*w - w**4 - 253921 - 238920 - 1733*w**3 = 0. Calculate w.
-445, -1
Let d = 71 - 68. Factor -100*q - 100*q - 8*q**2 + 4*q**d + 204*q.
4*q*(q - 1)**2
Let g(w) be the first derivative of -w**6/6 + 22*w**5/5 - 91*w**4/4 + 98*w**3/3 + 38*w**2 - 136*w - 5446. Determine m, given that g(m) = 0.
-1, 2, 17
Let l = -117/5009 - -5594/25045. Find a such that 1/5*a + l*a**2 - 2/5 = 0.
-2, 1
Let a = 4177 + -208847/50. Let x(q) be the third derivative of 0 + 5*q**2 - a*q**5 + 1/300*q**6 + 5/3*q**3 + 1/4*q**4 + 0*q. Factor x(k).
2*(k - 5)**2*(k + 1)/5
Suppose 14 + 97 = 3*c. Suppose 2*m + 6 = 2*u - 6, 26 = 4*u - 5*m. Suppose -2*x**u + 34*x**3 - c*x**3 - x**4 = 0. What is x?
-1, 0
Let g(j) be the first derivative of 0*j + 0*j**2 + 14/3*j**4 + 1/9*j**6 - 16/3*j**3 - 4/3*j**5 - 17. Factor g(w).
2*w**2*(w - 6)*(w - 2)**2/3
Let f(i) be the second derivative of -2/3*i**3 - 1/12*i**4 + 1/140*i**5 + 84*i - 10/7*i**2 + 2. Suppose f(p) = 0. Calculate p.
-2, -1, 10
Let f(d) be the first derivative of d**5/50 + d**4/5 + 4*d**3/15 - 8*d**2/5 - 24*d/5 + 8481. Determine z so that f(z) = 0.
-6, -2, 2
Let l be ((-8)/(-5))/(-7 - (-148)/20). Let g be -2 + l - (15 + -15) - 0. Find c such that -5/3 + 11/3*c - 2/3*c**g = 0.
1/2, 5
Let q(t) be the first derivative of -50*