*m + 4)/4
Suppose 3*t - 1692 = 2514. Let s = 1402 - t. Find y such that -2/3*y - 8/3*y**2 + s - 4*y**3 - 2/3*y**5 - 8/3*y**4 = 0.
-1, 0
Let j be (-1 + 1)/((-4)/(-2)). Let t = j + 44. Find z, given that 50*z**3 - t*z**3 - 3*z**5 + 5 - 5 - 3*z**4 = 0.
-2, 0, 1
Let b(l) be the second derivative of -8*l**2 - 212/27*l**3 + 88*l + 1/10*l**5 - 25/9*l**4 - 2. Let b(z) = 0. What is z?
-2/3, 18
Suppose -23*i + 340 = -6*i. Let w = -5 - -6. Let -1 - 8*v**2 + 5 + i*v**5 - 40*v**3 - 2*v**2 + 5*v**4 + w + 20*v = 0. Calculate v.
-1, -1/4, 1
Let f(d) be the second derivative of 7/135*d**6 + 0*d**3 + 0*d**2 + 1/15*d**5 - 2 + 76*d - 1/54*d**4. Suppose f(t) = 0. What is t?
-1, 0, 1/7
Let u(c) be the first derivative of 0*c - 50/3*c**3 - 19 + 5/4*c**4 + 125/2*c**2. Suppose u(p) = 0. What is p?
0, 5
Let 24*o**3 - 2004*o**2 + 140*o + 31*o**3 + 3730*o**2 - 5*o**4 - 1886*o**2 = 0. What is o?
0, 2, 7
Let x(p) = 12*p**4 + 44*p**3 + 328*p**2 - 16*p - 16. Let u(d) = d**4 + d**3 + d**2 - d - 1. Let m(q) = 16*u(q) - x(q). Suppose m(w) = 0. What is w?
-6, 0, 13
Let w = 10988 + -10988. Let l(x) be the third derivative of 1/210*x**6 + 0*x + 0 + 0*x**5 + 1/147*x**7 + 33*x**2 + w*x**3 + 0*x**4. Let l(v) = 0. Calculate v.
-2/5, 0
Let s(y) = -162*y**2 - 238*y - 98. Let v(q) be the third derivative of -q**4/24 - 2*q**2 - 61. Let x(l) = -s(l) - 14*v(l). Solve x(f) = 0 for f.
-7/9
Suppose -3*w = 5*q - 46, 4*w - 2*q - 2*q = 8. Suppose 0 = -h - 5*y - 12, 4*h = -w*y + 11*y + 24. Solve -15/2*c + 3 + 6*c**2 - 3/2*c**h = 0 for c.
1, 2
Let h(z) be the second derivative of -35*z + 0*z**2 + 0 - 4/9*z**3 - 1/36*z**4. Factor h(b).
-b*(b + 8)/3
Let r(z) = z**4 - z**3 + z**2 + z + 10. Let b(n) = -6*n**4 - 4*n**3 - 410*n**2 - 776*n - 448. Let p(w) = -5*b(w) - 35*r(w). Find x such that p(x) = 0.
-14, -1, 27
Let k(q) = -q**2 - 153*q - 4796. Let x be k(-44). Factor x*j + 4/5 - 4/5*j**2.
-4*(j - 1)*(j + 1)/5
Let x(r) be the first derivative of r**4/2 - 46*r**3/3 + 39*r**2 + 126*r - 2206. What is d in x(d) = 0?
-1, 3, 21
Let -2/11*q**3 - 9514/11*q + 280/11*q**2 - 20164/11 = 0. What is q?
-2, 71
Let g(t) be the first derivative of 24*t**2 - 38*t**3 + 73 + 20 + 30*t**3 - 12*t + t**4 - 20*t. Suppose g(b) = 0. Calculate b.
2
Let m = -1191922 + 1191928. Let t(o) = o**3 - o**2 - 2*o + 4. Let c be t(3). Determine k so that -56/9*k - m*k**4 - 8/9 - c*k**3 - 46/3*k**2 = 0.
-1, -2/3, -1/3
Let i(n) be the third derivative of 1/45*n**5 - 1/135*n**6 + 0*n + 4/27*n**4 - 52*n**2 + 1/1890*n**7 - 32/27*n**3 + 0. Factor i(s).
(s - 4)**2*(s - 2)*(s + 2)/9
Let n(l) be the third derivative of l**8/504 + 187*l**7/315 - 3*l**2 + 79. Suppose n(z) = 0. Calculate z.
-187, 0
Let r be (-15 + 2841/189)*(1427 + 40). What is p in -32/7 - r*p**2 - 74/7*p**4 - 6/7*p**5 - 246/7*p**3 - 180/7*p = 0?
-8, -2, -1, -1/3
Let s(f) be the first derivative of -134*f**3/3 - 2*f**2 - 2901. What is w in s(w) = 0?
-2/67, 0
Let l = -128/57 - -1522/627. Factor l*t**2 - 10/11*t + 8/11.
2*(t - 4)*(t - 1)/11
Determine l, given that -7*l**5 - 2*l**4 - 5*l**4 + 36 + 41*l**3 - 84*l - 607522*l**2 + 607541*l**2 + 2*l**5 = 0.
-3, -2, 3/5, 1, 2
Let c(k) be the second derivative of -k**6/165 + 183*k**5/110 - 3721*k**4/22 + 226981*k**3/33 + k - 907. Factor c(q).
-2*q*(q - 61)**3/11
Let v(d) = -3*d**5 + 90*d**3 + 84*d**2 - 180*d + 6. Let i(z) = 6*z**5 - 183*z**3 - 168*z**2 + 360*z - 10. Let s(q) = -3*i(q) - 5*v(q). Solve s(m) = 0.
-5, -2, 0, 1, 6
Let b(f) be the second derivative of -f**6/30 - f**5/4 - 5*f**4/12 + 5*f**3/6 + 3*f**2 - 3425*f. Find t, given that b(t) = 0.
-3, -2, -1, 1
Let m(z) be the third derivative of 0*z + 1/20*z**5 + 2*z**3 - 5/8*z**4 + 2*z**2 + 7. Solve m(u) = 0.
1, 4
Let l(i) = -6*i**2 - 34*i - 48. Let k(p) = 2*p**2 + 18*p + 24. Let d(b) = 5*k(b) + 2*l(b). Factor d(x).
-2*(x - 12)*(x + 1)
Let g(z) be the second derivative of -z**5/450 + 11*z**4/180 + 145*z**2/2 - 65*z. Let o(t) be the first derivative of g(t). Determine x so that o(x) = 0.
0, 11
Let u = -598 - -594. Let i be -2 - (0 + (-1)/u + -3). Solve -1/4 - i*o + 1/4*o**5 + 3/4*o**4 - 1/2*o**2 + 1/2*o**3 = 0.
-1, 1
Let u(x) = -5 + 2 + 0 - x. Let q be u(-5). Determine p so that 9*p**4 - 14*p**q - 337*p**5 + 2*p**2 + 340*p**5 = 0.
-2, 0, 1
Let g(r) be the second derivative of r**4/12 + 64*r**3/3 - 130*r**2 + 1584*r. Factor g(i).
(i - 2)*(i + 130)
Suppose 0*i - 7*i - 2*s = -193, -21 = -i + 3*s. Factor 13*n**3 + i*n**2 - 8*n**3 + 40 - 50*n - 22*n**2.
5*(n - 2)*(n - 1)*(n + 4)
Let j be 20/(-1570) - (-1308736)/195936. Factor -4/3*l + 4 + j*l**3 - 28/3*l**2.
4*(l - 1)**2*(5*l + 3)/3
Let i be (54/(-4))/3 - 56*65/(-520). Find t such that -5 + i*t + 5/2*t**2 = 0.
-2, 1
Let l(m) = -195*m + 1367. Let s be l(7). Let g(c) be the first derivative of 0*c**s + 2*c**4 + 13 + 0*c + 2/5*c**5 + 8/3*c**3. Factor g(h).
2*h**2*(h + 2)**2
Suppose -4*g = -4*w + 8, g + 8 = 5*w - 14. Suppose 4*h - 7 = -f, 6 = f - 2*h + w*h. Find l such that -5*l**2 + 7*l**2 + 0*l**f - l**3 - 4*l**2 = 0.
-2, 0
Let t(l) be the second derivative of -l**4/84 + 150*l**3/7 - 101250*l**2/7 + 11*l + 10. Solve t(q) = 0.
450
Let p(s) = 22*s**2 + 16794*s - 16809. Let d(q) = 76*q**2 + 58780*q - 58832. Let j(n) = 7*d(n) - 24*p(n). Find y such that j(y) = 0.
-2102, 1
Find d, given that 4*d**3 - 32*d**2 + 0*d + 50/9*d**4 + 0 + 2/9*d**5 = 0.
-24, -3, 0, 2
Let r(n) = 5*n**3 + 2*n**2 + 4*n + 3. Let h be r(-2). Let d = h + 41. Factor -o**5 + 3*o**4 - 5*o**d + 5*o**4.
-o**4*(o - 3)
Let i = 287756 + -287756. Factor -4/3*p**3 + 4/3*p - 2/3*p**2 + i + 2/3*p**4.
2*p*(p - 2)*(p - 1)*(p + 1)/3
Let -75110*u - 74722*u - 5*u**3 - 5*u**2 + 150192*u = 0. Calculate u.
-9, 0, 8
Let w(v) = -14*v - 56. Let r be w(-4). Suppose r = 54*c + 19 - 289. Factor -3/5*d**3 + 0 - 3/5*d**c + 0*d**2 - 6/5*d**4 + 0*d.
-3*d**3*(d + 1)**2/5
Let i(d) be the third derivative of -d**5/12 - 55*d**4/24 - 70*d**3/3 - d**2 - 2226. Solve i(x) = 0 for x.
-7, -4
Let l(p) = -3*p + 11. Let c be l(3). Determine y so that -16*y + 11*y + 14*y + 3*y**c = 0.
-3, 0
Let k be (1595/225 - 1) + -7 + 1. Let v(a) be the second derivative of 0*a**2 + 1/150*a**5 - k*a**3 + 0*a**4 + 0 - 16*a. Solve v(n) = 0.
-2, 0, 2
Let w(m) be the second derivative of -m**5/110 + 4*m**4/33 + 31*m**3/33 + 2*m**2 + 7*m - 53. Factor w(i).
-2*(i - 11)*(i + 1)*(i + 2)/11
Let j be (-1 - -2 - 2628/584) + 6. Solve 3/4*q - j + 1/4*q**2 = 0.
-5, 2
Let m = -6 + 10. Let i = -2005/56 - -291/8. Factor 8/7*k**3 - i*k**2 - 8/7*k + 4/7*k**m + 0.
4*k*(k - 1)*(k + 1)*(k + 2)/7
Suppose 16*r - 48*r + 267 = 57*r. Let u(i) be the first derivative of -3*i**r + 11 + 3*i**2 + 0*i + 3/4*i**4. Solve u(t) = 0.
0, 1, 2
Suppose -114 = 40*r - 74. Let y be (-93)/(-270) - r/10. Find v such that -4/9*v**2 + 2/3*v + 2/3*v**4 - 2/9*v**5 - 2/9 - y*v**3 = 0.
-1, 1
Let n(m) = 200*m**2 + 118*m - 18. Let a(z) = -1400*z**2 - 825*z + 115. Let y(q) = 3*a(q) + 20*n(q). Find p, given that y(p) = 0.
-3/8, -1/5
Let t(p) be the second derivative of p**6/10 - 147*p**5/20 + 261*p**4/2 + 962*p**3 + 2028*p**2 + 720*p. Factor t(d).
3*(d - 26)**2*(d + 1)*(d + 2)
Let a(r) = -56*r - 3134. Let u be a(-56). Let j(s) be the first derivative of 4 + 0*s + 3/2*s**u - 3/4*s**4 - 3/5*s**5 + s**3. Factor j(w).
-3*w*(w - 1)*(w + 1)**2
Factor 122/3*k + 56 + 2/3*k**3 + 28/3*k**2.
2*(k + 3)*(k + 4)*(k + 7)/3
Suppose 0*b = 4*b - k - 10, 5*b = -k + 8. Factor 0 + 0 + 12*y**3 - 2414*y - 16*y**b + 2366*y + 4*y**4.
4*y*(y - 2)*(y + 2)*(y + 3)
Factor 4/3*r**3 - 92/3*r**2 + 160*r + 0.
4*r*(r - 15)*(r - 8)/3
Let a(k) be the third derivative of k**5/300 - 7*k**4/15 - 19*k**3/10 + 1197*k**2. Factor a(m).
(m - 57)*(m + 1)/5
Let j(z) be the first derivative of -z**7/210 - z**6/120 + z**5/30 + z**2/2 - 64*z + 60. Let b(l) be the second derivative of j(l). Factor b(w).
-w**2*(w - 1)*(w + 2)
Let w(c) be the second derivative of -c**6/30 - 7*c**5/12 - 13*c**4/4 - 47*c**3/6 - 28*c**2/3 + 3199*c. Solve w(h) = 0.
-7, -8/3, -1
Let c be (-2 + 146 - 3)*(-28)/147. Let n = c - -27. Factor -n + 1/7*f**2 + 0*f.
(f - 1)*(f + 1)/7
Suppose -5*c + 113 = 43. Let p be ((-7)/c)/(1/(-24)). Factor 25 - 4*n**2 + 15*n + 17*n - 41 - p*n.
-4*(n - 4)*(n - 1)
Suppose 25*w + 4119 = 369. Let d be (-725)/w + 2/(-12). Let -d*p**4 - 12*p**3 + 0 - 16/3*p - 2/3*p**5 - 40/3*p**2 = 0. Calculate p.
-2, -1, 0
Let r = 1006193/5 - 201237. Sol