 that h(n) = 0.
0
Let u(k) be the second derivative of -k**4/42 + 10*k**3/7 - 81*k**2/7 - 507*k. Solve u(y) = 0.
3, 27
Let o(b) be the second derivative of 3364*b**7/315 - 232*b**6/5 + 743*b**5/10 - 887*b**4/18 + 25*b**3/3 - 3*b**2/5 + 2*b + 104. Solve o(s) = 0 for s.
3/58, 1
Find b, given that 0*b**2 - 36/7*b**3 + 0 + 3/7*b**4 + 0*b = 0.
0, 12
Let n(u) be the third derivative of -u**8/2352 + u**6/210 + u**5/210 - u**4/56 - u**3/21 + 489*u**2. Determine z so that n(z) = 0.
-1, 1, 2
Let m(n) = 3*n**3 - 5*n**2 + n - 4. Let i be m(2). Let t be (6/i)/(-1)*-1. Factor 3/4*x**4 + 3*x**t + 3/4 + 3*x + 9/2*x**2.
3*(x + 1)**4/4
Suppose -27/7*h**4 - 90/7*h**2 - 3/7 + 36/7*h + 12*h**3 = 0. Calculate h.
1/9, 1
Factor 0 + 3*d - 1/2*d**2.
-d*(d - 6)/2
Suppose -36/7*i + 0 - 2/7*i**5 - 58/7*i**3 + 78/7*i**2 + 18/7*i**4 = 0. What is i?
0, 1, 2, 3
Let w = -6 - -10. Factor -2*v**4 - 2*v**3 + w*v**3 + 0*v**4 - 4*v**5.
-2*v**3*(v + 1)*(2*v - 1)
Let o(t) be the third derivative of -t**8/336 + t**7/280 + 5*t**6/96 + t**5/40 - 13*t**2 - 10. Suppose o(c) = 0. Calculate c.
-2, -1/4, 0, 3
Let v = -33 - -27. Let u be 12/v*(-1)/1. Solve -1/2*a**3 + 0*a + 1/2*a**u + 0 = 0.
0, 1
Let x be -6*1*(-4)/12. Suppose -5*t = w - 11, w - 5*t - 7 = -w. Factor 3*c**x - 2*c**2 - w - 8*c - 4*c**2 - c.
-3*(c + 1)*(c + 2)
Let 35/3*i + 1225/6 + 1/6*i**2 = 0. What is i?
-35
Let k be 20/6 + 1/(-3). Suppose -k*i = 4*h - 17, 5*i + 7 - 22 = 0. Factor -9*u**2 + 29*u**2 - 3*u**4 - 17*u**h.
-3*u**2*(u - 1)*(u + 1)
Let z(c) be the first derivative of c**5/330 + c**4/33 + c**3/11 + 17*c**2/2 + 26. Let l(d) be the second derivative of z(d). Factor l(j).
2*(j + 1)*(j + 3)/11
Suppose -2*t - a = -1, -5*a = -3*t - 0*a + 34. Determine u so that -2/3*u**t + 0*u**2 + 2*u + 4/3 = 0.
-1, 2
What is a in 18/5 - 11/5*a + 1/5*a**2 = 0?
2, 9
Let u(x) = -x**3 + 25*x**2 - 24*x. Let h be u(24). Suppose 7*k - 29 = -15. Factor -1/2*n**k + 0*n + h.
-n**2/2
Suppose -6*i**4 + 10/3*i**2 - 8*i**3 + 8*i + 8/3 = 0. Calculate i.
-1, -2/3, 1
Let x(d) be the third derivative of d**8/448 - d**7/140 - d**2 + 21*d. Factor x(p).
3*p**4*(p - 2)/4
Let z be (-1)/(42/(-8) + 5). Let y(t) be the third derivative of 5*t**2 + 1/8*t**3 - 1/80*t**5 + 0 + 0*t + 0*t**z. Factor y(o).
-3*(o - 1)*(o + 1)/4
Let k(j) = -2*j**2 + 10*j + 2. Let u be k(4). Suppose 0 = -f - 3*b + 4*b + 2, 0 = -f + 5*b + u. Factor 0*a + 0*a**2 + f + 1/4*a**3.
a**3/4
Let y be -5*748/(-425) - 1. Factor -3*m**3 - 48/5*m**2 - 6/5 - y*m.
-3*(m + 1)*(m + 2)*(5*m + 1)/5
Suppose 4*h - 40 + 12 = 0. Let r be (h - 11) + 39/9. Solve -1/6*c**3 + 0 - 1/6*c - r*c**2 = 0 for c.
-1, 0
Let a(f) be the first derivative of -f**6/3 - 26*f**5/5 - 11*f**4 + 4*f**3/3 + 23*f**2 + 22*f + 347. What is i in a(i) = 0?
-11, -1, 1
Determine p so that 20 + 9*p - 1/2*p**2 = 0.
-2, 20
Let f(o) be the first derivative of 2/7*o - 20 + 3/14*o**2 + 1/4*o**4 - 4/7*o**3. Solve f(d) = 0.
-2/7, 1
Let f = -686/69 + 244/23. Factor -2/3*q**3 + 4/3*q**2 - 4/3 + f*q.
-2*(q - 2)*(q - 1)*(q + 1)/3
Let w(f) = 4*f**4 + 2*f**3 - 2*f**2 + 2*f + 2. Let b(t) = -8*t**4 - 3*t**3 + 5*t**2 - 5*t - 5. Let p(o) = -2*b(o) - 5*w(o). Find x such that p(x) = 0.
-1, 0
Let 20*j**3 + 51*j**2 + 3*j**2 - 14*j**2 - 18*j**3 = 0. What is j?
-20, 0
Let q = 549 + -30745/56. Let j = q + 787/168. Suppose 2*n**3 + 14/3*n**4 - j*n**2 + 0 + 4/3*n - 10/3*n**5 = 0. Calculate n.
-1, 0, 2/5, 1
Suppose 8 + 0 = 4*c. Factor 8*h + 7 + 7*h - 5*h**c - 17.
-5*(h - 2)*(h - 1)
Let m = 33 - 39. Let p be m/18 - (-8)/15. What is w in -p*w**3 - 4/5*w**2 - 2/5 - w = 0?
-2, -1
Let q(k) be the first derivative of 4*k**3/3 - 14*k**2 + 48*k + 102. Factor q(j).
4*(j - 4)*(j - 3)
Let a(w) be the second derivative of 0*w**3 - 1/120*w**6 + 1/80*w**5 + 0*w**2 - 1/168*w**7 - 2 - 22*w + 1/48*w**4. Determine m, given that a(m) = 0.
-1, 0, 1
Suppose 46 = 4*m - 2*a, 2*m + 6 = 4*a + 26. Suppose -8*u = -m*u + 4. Find x such that 4 - 7*x**2 + u - 1 + 3*x**2 = 0.
-1, 1
Let p(x) = -x**3 - 61*x**2 + 29*x + 1771. Let z be p(-61). Find v such that 3/5*v**4 - 3/5*v**z + 0*v + 3/5*v**3 + 0 - 3/5*v**5 = 0.
-1, 0, 1
Let d(q) = -q**3 + 3*q**2 + q - 1. Let s be d(2). Determine y, given that 0*y**5 - 3*y + 2*y**5 - 4*y**3 + 0*y**s + 5*y = 0.
-1, 0, 1
Let d(p) be the first derivative of 8*p**5/35 - p**4 + 4*p**3/3 - 4*p**2/7 + 26. Let d(q) = 0. What is q?
0, 1/2, 1, 2
Factor -8/5*a + 2 - 2/5*a**2.
-2*(a - 1)*(a + 5)/5
Let i = -2 - -17. Find v such that -32 + 17 - 4*v**2 + i = 0.
0
Let x(v) be the first derivative of v**6/900 - v**5/50 + 3*v**4/20 + 10*v**3/3 + 13. Let q(z) be the third derivative of x(z). Find k, given that q(k) = 0.
3
Let x(z) = 4*z**2 - 36*z - 55. Let v(l) = 2*l**2 - 18*l - 29. Let f(p) = -5*v(p) + 3*x(p). What is h in f(h) = 0?
-1, 10
Let j = -11623/5 - -2325. Let 0*s + 2/5*s**2 - j = 0. What is s?
-1, 1
Solve -70*b - 8 - 445/2*b**3 - 207*b**2 - 175/4*b**4 = 0 for b.
-4, -2/5, -2/7
Suppose r = -r + 6, 7 = -k + 5*r. What is w in -1169 - 12*w**2 + 1139 - 55*w - k*w**2 + 5*w**3 = 0?
-1, 6
Let n(l) = 10*l**4 - 55*l**3 + 55*l**2 + 50*l - 55. Let i(z) = 5*z**4 - 28*z**3 + 28*z**2 + 25*z - 27. Let s(y) = 5*i(y) - 3*n(y). Solve s(d) = 0.
-1, 1, 2, 3
Let w be 2 + (-3 - -5) + -1. Factor -4*p**2 + 44*p**4 - p + p**5 - 6*p**w - 2*p**5 - 48*p**4.
-p*(p + 1)**4
Suppose 18 = -j + 18*f - 14*f, 0 = 4*j + f - 13. Suppose -1/8*n**j + 3/8*n + 0 = 0. Calculate n.
0, 3
Find i, given that 8 - 6/13*i**3 + 146/13*i**2 + 256/13*i = 0.
-1, -2/3, 26
Let l(g) be the first derivative of 4*g**5/55 - 3*g**4/22 - 2*g**3/33 + 3*g**2/11 - 2*g/11 + 102. Find n, given that l(n) = 0.
-1, 1/2, 1
Factor -7/4*p**2 - 1/4*p**3 - 5/2*p + 0.
-p*(p + 2)*(p + 5)/4
Factor 0 - 1/2*o**3 - 7/2*o + 4*o**2.
-o*(o - 7)*(o - 1)/2
Let l(k) be the first derivative of -k**7/2940 - k**6/252 + 4*k**3/3 + 7. Let b(u) be the third derivative of l(u). Suppose b(h) = 0. What is h?
-5, 0
Let u be 4/(-6)*18/(-12). Let l(d) be the first derivative of 10/33*d**3 + 2/11*d**4 + 0*d + 2/11*d**2 + 2/55*d**5 + u. Solve l(t) = 0 for t.
-2, -1, 0
Let y(p) be the second derivative of 3/2*p**3 + 0*p**2 + 7*p + 0 + 1/4*p**4. Determine n so that y(n) = 0.
-3, 0
Let j be ((-5)/2)/(15/(-12)). Solve 21 - z**2 + 24*z - z**j + 5*z**2 = 0.
-7, -1
Suppose 2*z - 15 + 13 = 0. Let d = z - 3. Let b(i) = -i**2 - 3*i + 7. Let u(k) = -k**2 + k + 1. Let s(j) = d*b(j) + 6*u(j). Solve s(g) = 0.
1, 2
Factor 0*z**2 - 5/3*z**5 + 0*z**3 + 0*z + 0 - 5*z**4.
-5*z**4*(z + 3)/3
Let p(k) = -8*k**3 + 24*k - 16. Let w(b) = 0*b - 1347*b**3 + 6*b - 4 + 1345*b**3. Let o(s) = -4*p(s) + 18*w(s). Factor o(q).
-4*(q - 1)**2*(q + 2)
Let w(p) = p**2 + 8*p - 8. Let b be w(-10). Suppose 7*j - b = j. Factor -1 - 18*u - 35 + 9 - 2*u**j - u**2.
-3*(u + 3)**2
Suppose -759 - 41 = -16*b. Let n = -46 + b. Determine h, given that 6/11*h**2 - 8/11*h - 8/11 + 2/11*h**n + 8/11*h**3 = 0.
-2, -1, 1
Suppose -4*f + 21954 = -f. Let s = f - 2458. Solve -1227*w**4 - 2025*w**4 - 464*w - s*w**3 + 336*w**4 - 41 + 9 - 2376*w**2 = 0.
-1, -2/9
Let w be (-12)/3 + (-77 + -1)/3. Let c be ((w/25)/(-3))/7*5. Find f such that -4/7*f + c + 2/7*f**2 = 0.
1
Let i(o) = -3*o + 3. Let p be i(-14). Suppose -47 + 17 - 5*s**5 + 135*s - 130*s**3 + 15 - 120 + p*s**4 + 90*s**2 = 0. Calculate s.
-1, 1, 3
Let g be 2 + 0 + 31 + -34. Let r be 10/60*(17 - g). Factor -3/4 + 1/4*u**r - 1/4*u + 3/4*u**2.
(u - 1)*(u + 1)*(u + 3)/4
Let g(b) be the first derivative of -b**6 + 99*b**5/25 - 21*b**4/5 + 3*b**3/5 + 3*b**2/5 - 52. Let g(v) = 0. Calculate v.
-1/5, 0, 1/2, 1, 2
Factor -r**2 - 10*r + 10*r + 89*r**3 - 88*r**3.
r**2*(r - 1)
Let m(v) be the first derivative of -v**6/105 + 4*v**5/35 - 8*v**4/21 - 11*v - 13. Let r(k) be the first derivative of m(k). Factor r(n).
-2*n**2*(n - 4)**2/7
Let j(y) = -y**4 - 6*y**3 + 6*y**2 + 38*y + 29. Let t(u) = -3*u**4 - 19*u**3 + 18*u**2 + 115*u + 88. Let d(w) = -21*j(w) + 6*t(w). Factor d(g).
3*(g - 3)*(g + 1)*(g + 3)**2
Let m be 8/(-52) - (-17)/26. Let z be (10/3 + -3)*33/22. Find s such that z*s**2 + 0*s - m = 0.
-1, 1
Let w(a) be the third derivative of -a**6/30 - 11*a**5/15 - 5*a**4/3 + 91*a**2. Let w(g) = 0. What is g?
-10, -1, 0
Let x(c) be the first derivative of c**4/2 - 28*c**3/3 + 9*c**2 + 648*c + 86. Factor x(m).
2*(m - 9)**2*(m + 4)
Let 2/5*c**3 - 6 + 62/5*c - 34/5*c**2 = 0. Calculate c.
1, 15
