7 - 114*a + 0. What is s in o(s) = 0?
-3, -2
Let k(l) be the third derivative of 1/15*l**5 - 2/105*l**7 + 0 + 0*l + 1/12*l**4 - 100*l**2 + 1/56*l**8 + 0*l**3 - 1/15*l**6. Let k(o) = 0. Calculate o.
-1, -1/3, 0, 1
Let l(d) = -d**4 + 6*d**3 - 2*d**2 + d - 1. Let t(q) = 422*q**4 - 844*q**3 - 12*q**2 - 2*q + 2. Let j(k) = 2*l(k) + t(k). Factor j(r).
4*r**2*(r - 2)*(105*r + 2)
Let a = 37 - -107. Suppose -9*h = -10*h + a. Factor -127*t**2 - h + 10*t**2 - 79*t**2 + 336*t.
-4*(7*t - 6)**2
Let t(i) be the second derivative of i**9/11340 - i**8/5040 - i**7/189 - 2*i**6/135 - 5*i**4/2 - 44*i. Let p(n) be the third derivative of t(n). Factor p(a).
4*a*(a - 4)*(a + 1)*(a + 2)/3
Let j(p) be the second derivative of -p**6/135 + 16*p**5/45 - 128*p**4/27 + 7523*p. Factor j(x).
-2*x**2*(x - 16)**2/9
Let c(n) be the third derivative of 1/5*n**3 - 85*n**2 + 7/50*n**5 + 0 + 11/40*n**4 + 0*n. Let c(w) = 0. What is w?
-1/2, -2/7
Let x(p) = 164*p - 1804. Let u be x(11). Let s(n) be the third derivative of 5/36*n**4 + u*n - 1/180*n**6 + 0 - 1/45*n**5 - 4*n**2 + 2/3*n**3. Solve s(c) = 0.
-3, -1, 2
Find l such that -3*l**3 + 16*l**2 + 29*l**2 + 1923*l + 2262*l - 4413*l + 21*l**2 + 216 = 0.
2, 18
Factor 10690/7*t**3 - 6347484/7*t**2 - 6/7*t**4 + 419169168/7 + 1255390488/7*t.
-2*(t - 594)**3*(3*t + 1)/7
Determine j, given that -5815*j**3 - 17*j**4 - 137*j**2 + 15*j**4 - 511*j**2 - 512*j + 5677*j**3 = 0.
-64, -4, -1, 0
Suppose -4*i + 4*x = -16, -3*i = -2*i + 2*x - 16. Determine a, given that i*a**2 + 36*a**4 - 8*a**4 - 8*a**5 + 8*a**3 - 36*a**3 = 0.
0, 1/2, 1, 2
Suppose 187*i - 199*i = -132. Let m be (-9)/231 - (1 - 13/i). Find k, given that -3/7*k**2 - 2/7*k + 0 - m*k**3 = 0.
-2, -1, 0
Let u(x) = -6*x**2 + 11*x + 44. Let i be u(-7). Let r = -325 - i. Factor -9/4*c**r - 3*c - 1.
-(3*c + 2)**2/4
Let w(u) = 10*u**2 + u + 1. Let i be w(1). Suppose 3*v = -3*v + i. Let 21*s**3 + 5*s - 6*s**3 + 5*s**4 + 14*s**2 + 2*s**v - s**2 = 0. What is s?
-1, 0
Let a(q) be the third derivative of 0*q**3 + 0 - 4*q**2 + 1/60*q**6 + 0*q**4 - 12*q - 2/735*q**7 - 1/70*q**5. Find i such that a(i) = 0.
0, 1/2, 3
Let j(m) be the second derivative of -3*m**6/35 - 66*m**5/35 - 475*m**4/42 + 44*m**3/7 + 484*m**2/7 - 167*m + 2. Find s such that j(s) = 0.
-22/3, -1, 1
Suppose 4*j + 23 = 35. Suppose i = -3*n + 168, n + j*i = 3*n - 123. Find c such that n*c - 27 - 5 - 2*c**2 - 41*c = 0.
4
Let f = -61482/5 - -430414/35. Determine q, given that -f*q**2 + 2/7*q**3 + 8/7 - 2/7*q = 0.
-1, 1, 4
Let b(g) be the second derivative of -g**5/5 - 156*g**4 + 626*g**3 - 940*g**2 + 40*g + 7. Factor b(f).
-4*(f - 1)**2*(f + 470)
Let n(d) = d**3 + 7*d**2 + 4*d + 4. Let a be n(-3). Solve 4*b**5 - 28*b**3 + 9*b**2 - 8*b**3 - 17*b**2 + 2*b**4 + 2*b**4 - a*b**2 = 0 for b.
-3, -1, 0, 3
Let b = 1018 - 1031. Let m be -6*(-8)/(-120)*b*1. Find x such that 8/5*x**4 + 8*x**3 + m*x**2 - 12*x + 18/5 = 0.
-3, 1/2
Let s be 1080/(-405) - 3/(9/(-17)). Let n(f) be the first derivative of 0*f - 5/3*f**s - 35 - 5/2*f**2. Let n(i) = 0. What is i?
-1, 0
Let k(t) be the third derivative of -2*t**2 + 1/5*t**4 + 11/150*t**5 - 1/175*t**7 + 1/300*t**6 + 4/15*t**3 - 50*t + 0 - 1/840*t**8. Suppose k(l) = 0. What is l?
-2, -1, 2
Find s such that 0 + 0*s - 14/5*s**2 - 2/5*s**3 = 0.
-7, 0
Suppose 0 = 4219*k - 4073*k - 292. Factor 4/7*a**3 - 16/7 + 32/7*a - 20/7*a**k.
4*(a - 2)**2*(a - 1)/7
Let x(o) be the first derivative of -o**6/9 - 2*o**5 + 10*o**4/3 + 40*o**3/3 - 64*o**2/3 - 2084. Suppose x(w) = 0. What is w?
-16, -2, 0, 1, 2
Let n(v) be the third derivative of v**5/120 + 17*v**4/144 + 7*v**3/18 + v**2 - 70. Determine j, given that n(j) = 0.
-14/3, -1
Let w(k) = 8*k**2 - 8*k - 5. Let m(b) = 39*b**2 - 39*b - 24. Let y = -51 + 65. Let j be 4/y - (1 + 80/(-14)). Let d(v) = j*m(v) - 24*w(v). Solve d(z) = 0 for z.
0, 1
Let q = 271 + -396. Let d = 131 + q. Factor 7/2*g**4 + 3/2*g**2 - d*g**3 + g + 0.
g*(g - 1)**2*(7*g + 2)/2
What is d in 2/3*d**2 + 1060 + 1594/3*d = 0?
-795, -2
Let v(r) = -r**2 + 42*r - 65. Let n be v(29). Factor 322*z**4 + 8*z**2 + 3*z**5 - z**5 - n*z**4 + 16*z**3.
2*z**2*(z + 1)*(z + 2)**2
Let u = -269 - -305. Let k be (-1)/2*-2 + 1. Let -26*w + k*w - 7*w**3 + u - 3*w**2 + 4*w**3 + 6*w**3 = 0. Calculate w.
-3, 2
Suppose -4*n + 1 = -t - 7*n, 4*n = -16. Let -7*m**3 + t*m**3 + 3*m - 7*m**3 = 0. What is m?
-1, 0, 1
Let a(u) be the first derivative of 11 + 5/2*u**3 + 3*u**2 + 0*u + 3/8*u**4. Factor a(y).
3*y*(y + 1)*(y + 4)/2
Let w(d) be the first derivative of -2/5*d**2 - 48/5*d + 72 + 4/15*d**3. Find j such that w(j) = 0.
-3, 4
Let t(f) = f**3 + 1. Let h = 23 - 14. Let g(o) = -162*o**2 - 96*o - 61*o**3 - 5*o**3 - 18*o - h + 6*o. Let w(d) = g(d) - 15*t(d). Factor w(s).
-3*(3*s + 2)**3
Factor 4*u**2 - 10/9*u**3 + 1/9*u**4 + 3 - 6*u.
(u - 3)**3*(u - 1)/9
Let a(r) = 2*r**2 + 38*r + 64. Let s be a(-19). Let 15 - 8*v**3 + 33 + 28*v**4 - s - 84*v**2 + 80*v = 0. What is v?
-2, 2/7, 1
Let 32*n - 837*n**3 + 2496*n**3 - 20 - 840*n**3 + n**4 - 829*n**3 - 3*n**2 = 0. What is n?
-2, 1, 10
Let q be -1 - (3 + -1) - (-1 - 2). Suppose k + q*k + 3*t = 14, -14 = k - 4*t. Let -14/11*u + 2/11*u**k + 12/11 = 0. Calculate u.
1, 6
Let n = 809/2445 - -2/815. Suppose 26*f - 77 + 25 = 0. Factor 16/3*c**f - 8/3*c + n.
(4*c - 1)**2/3
Let h be 2/(-5)*((-15)/6 + -5). Solve 36*i**h + 17*i**2 - 77*i**2 - 31*i**3 = 0 for i.
0, 12
Let p(j) be the second derivative of -4*j**5 + 10*j**4 + 225*j**3/2 - 1215*j**2/2 + 28*j + 30. What is z in p(z) = 0?
-3, 9/4
Let g(b) be the first derivative of b**4/16 - 335*b**3/6 + 112225*b**2/8 - 3337. Factor g(d).
d*(d - 335)**2/4
Suppose -6 = -6*y + 7*y + 2*t, -5*y + 2 = 2*t. Suppose 0 = 16*n + 2 - y. Factor 0*s + 0 + n*s**2 + 2/5*s**3.
2*s**3/5
Let t(j) be the first derivative of -3*j**5/25 - j**4 - 26*j**3/15 - 2*j**2/5 + j + 1294. Find o, given that t(o) = 0.
-5, -1, 1/3
Suppose -4*g - 14 = -5*y, 3*y - 2 = -2*g - 2*g. Let 4*s**4 + 17*s**2 + 23*s**2 + 4 - 48*s**y = 0. Calculate s.
-1, 1
Suppose 5*a + 5*j - 164 = a, -112 = -2*a + 5*j. Let w be a/8 + 1/4. Factor 21 + w*c**2 - c**3 + c - 2*c**4 - 19 + 6*c.
-(c - 2)*(c + 1)**2*(2*c + 1)
What is z in 135*z**3 - 1 + 3577*z + 5*z**5 + 3 - 3517*z - 2 + 155*z**2 + 45*z**4 = 0?
-4, -3, -1, 0
Let r(g) = 4*g**2 + 3269*g - 3007. Let w(v) = 2*v**2 + 1654*v - 1504. Let q(z) = -4*r(z) + 7*w(z). What is m in q(m) = 0?
-750, 1
Let -1226*w**3 + 548*w + 1201*w**3 - 1005*w**2 - 1528*w = 0. Calculate w.
-196/5, -1, 0
Let w = 38023 + -266159/7. Determine z, given that -8*z + 2/7*z**3 + w*z**4 - 24/7*z**2 - 32/7 = 0.
-2, -1, 4
Let y be -10*((-28)/56)/(10/12). Let r be (-20)/y*1344/(-1400). Suppose 0 + 0*d**2 + 4/5*d**4 + r*d - 12/5*d**3 = 0. Calculate d.
-1, 0, 2
Let h(d) be the first derivative of d**5/78 - 9*d**4/52 + 10*d**3/39 + d**2/2 + 48*d + 11. Let k(s) be the second derivative of h(s). Factor k(o).
2*(o - 5)*(5*o - 2)/13
Let d be (3/(-2))/3 - (-7797)/12. Let c = d - 649. Factor -3/4 + q - c*q**2.
-(q - 3)*(q - 1)/4
Let p(k) be the second derivative of -3*k**5/80 - 37*k**4/16 + k**3/2 + 111*k**2/2 - 1001*k + 4. Factor p(n).
-3*(n - 2)*(n + 2)*(n + 37)/4
Let c(k) = k**3 + 45*k**2 - 362*k - 402. Let p(a) = 5*a**3 + 183*a**2 - 1449*a - 1609. Let z(j) = 18*c(j) - 4*p(j). Determine n, given that z(n) = 0.
-1, 20
Factor -4*s**2 - 2238492 - 3233985 - 549230 - 14824*s - 7712729.
-4*(s + 1853)**2
Let y(l) be the first derivative of 50*l**3/9 + 98*l**2/3 - 16*l/3 + 949. Factor y(m).
2*(m + 4)*(25*m - 2)/3
Let h = -9297 - -9297. Let o(q) be the third derivative of 1/2*q**3 + 7/24*q**4 + h*q + 7*q**2 + 0 + 1/120*q**6 + 1/12*q**5. Suppose o(b) = 0. Calculate b.
-3, -1
Find y such that -87*y**2 - 1/9*y**3 - 1975509 - 22707*y = 0.
-261
Let n be (-4)/180 - 17017/(-8415). Let 12*b - 18 - 3/2*b**n = 0. What is b?
2, 6
Let v be (-128)/96*(1476/(-26))/(-2). Let r = v + 3639/91. What is z in 3/7*z**5 + 6/7*z**3 - r*z**4 - 27/7 + 6*z**2 - 9/7*z = 0?
-1, 1, 3
Suppose d = l + 2, 2*l = 51*d - 56*d + 17. Factor -28*k**3 + 30*k**d + k + 0*k**4 - k**2 + k**4 - 3*k.
k*(k - 1)*(k + 1)*(k + 2)
Factor -25/6*t - 25/2 + 1/2*t**2 + 1/6*t**3.
(t - 5)*(t + 3)*(t + 5)/6
Let r(q) = -2*q**5 - 32*q**4 - 64*q**3 + q + 4. Let l(o) = -o**5 + 2*o**4 + o**3 - o - 4. Let k(b) = -l(b) - r(b). What is c in k(c) = 0?
-7, -3, 0
Let p(w) = w - 16. Let 