-1, 0, 2/19, 1
Let b(s) be the first derivative of s**5/510 - 5*s**4/102 - 111*s**2/2 - 26. Let o(j) be the second derivative of b(j). Find r such that o(r) = 0.
0, 10
Suppose -5*s - 224 + 24 = 0. Let o = s - -82. Solve -27*d**2 + 25*d**3 - 11*d**3 + 15*d**4 + o*d**2 + 21*d**3 - 10 - 15*d = 0 for d.
-1, 2/3
Let g(v) = -v**2 + 244*v - 1764. Let o(z) = 69*z**2 - 163*z + 1176 - 145*z**2 + 77*z**2. Let t(n) = -5*g(n) - 8*o(n). Factor t(h).
-3*(h - 14)**2
Suppose 202*r - 260 - 548 = 0. Let z(f) be the third derivative of 0*f**r - 1/1680*f**7 - 1/160*f**5 + 0 + 0*f + 0*f**3 + 31*f**2 + 1/240*f**6. Factor z(k).
-k**2*(k - 3)*(k - 1)/8
Let m(i) = -i**2 - 7*i + 260. Suppose 3*h = 1724 - 1685. Let k be m(h). Find y, given that 4/5*y**4 - 2/5*y**5 + 2/5*y**3 - 4/5*y**2 + k + 0*y = 0.
-1, 0, 1, 2
Let y(n) = 12*n + 18. Let t be y(-5). Let v = 38 - t. Suppose 2000*w + 1717 + 600*w**2 + v*w**3 + 783 + 6*w**4 - 2*w**4 = 0. Calculate w.
-5
Suppose -3*o - t + 19 = 0, 0 = -o + 5*t + 160 - 207. What is w in -13/7*w + 10/7 + 2/7*w**2 + 1/7*w**o = 0?
-5, 1, 2
Let d = 4099/35 - 117. Let r = 18/35 - d. Find a such that 0*a**2 - 2/5*a + r*a**3 + 0 = 0.
-1, 0, 1
Solve 10 - 29*u**3 + 2134*u - 49*u**2 - 1926*u - 56 + 32*u**3 - 18 = 0 for u.
1/3, 8
Let j(o) be the second derivative of -6*o + 0 - 1/3*o**3 + 1/18*o**4 + 2/3*o**2. Suppose j(p) = 0. What is p?
1, 2
Suppose 4*z**2 - 11925*z + 17149520 + 4*z**2 - 3*z**2 - 6595*z = 0. What is z?
1852
Solve -3/2*x**2 + 1194*x - 237606 = 0.
398
Let f(r) = r**3 + 3*r**2 - 12*r - 3. Let u be f(-5). Suppose -u*y + 4*y + 9 = 0. Suppose 64*x + 11*x**4 + 4*x**4 - 64*x + 6*x**y - 21*x**5 = 0. What is x?
-2/7, 0, 1
Let i be 4/((-52)/(-351)) + 0/(3 - 4). Let j(w) be the first derivative of i + 64/3*w + 4/9*w**3 + 16/3*w**2. Determine k, given that j(k) = 0.
-4
Let x(j) be the second derivative of j**8/33600 + 11*j**7/12600 + j**6/360 - 7*j**4/6 + j**3/2 + 125*j. Let q(h) be the third derivative of x(h). Factor q(v).
v*(v + 1)*(v + 10)/5
Let v(m) be the third derivative of m**8/3024 + 31*m**7/378 + 221*m**6/30 + 33124*m**5/135 - 17576*m**4/27 + 810*m**2. Factor v(b).
b*(b - 1)*(b + 52)**3/9
Let l(b) be the first derivative of 13 + 0*b + 1/12*b**3 + 5/4*b**2. Solve l(o) = 0 for o.
-10, 0
Let d(p) be the first derivative of -p**3/6 + 1927*p**2/4 - 8272. Find y, given that d(y) = 0.
0, 1927
Let r(d) be the third derivative of -d**6/660 + 19*d**5/165 - 305*d**4/132 + 700*d**3/33 - 1628*d**2. Factor r(n).
-2*(n - 28)*(n - 5)**2/11
Let h(c) be the second derivative of -1/6*c**3 + 0*c**2 - 1/60*c**4 + 0 + 50*c. Solve h(v) = 0 for v.
-5, 0
Let q(p) be the second derivative of p**4/42 + 3*p**3/7 + 2*p**2 + 64*p - 1. Factor q(k).
2*(k + 2)*(k + 7)/7
Let k(y) be the first derivative of -4*y**3/3 + 6*y**2 - 2*y - 9. Let t(u) = -11*u + 46 + 47 + 3*u**2 - 90. Let z(v) = 5*k(v) + 6*t(v). Solve z(o) = 0.
-4, 1
Find j, given that 396*j**2 - 36*j**4 - 6/7*j**5 + 2262/7*j - 360 - 2256/7*j**3 = 0.
-28, -15, -1, 1
Suppose 5*d + 0*w = -4*w + 18, 4*d + 3*w - 15 = 0. Suppose 26*o**4 - d*o**3 + o - 21*o**4 - 7*o**4 + 7*o = 0. What is o?
-2, 0, 1
Let w = 364 - 361. Let z be (2 - w)/(3 - 2) - -1. Factor z - 4/7*l**2 - 2/7*l**5 + 4/7*l**4 + 0*l**3 + 2/7*l.
-2*l*(l - 1)**3*(l + 1)/7
Let h(f) be the first derivative of 53 - 15/4*f + 12*f**3 + 21/4*f**2 + 51/8*f**4 + 3/4*f**5. Let h(c) = 0. What is c?
-5, -1, 1/5
Let x = 445 + -412. Factor x*a**4 - 127*a**4 - 189*a**3 + 10*a**5 + 225*a**3.
2*a**3*(a - 9)*(5*a - 2)
Suppose -7*k = 1196 - 1217. Suppose -5*n = -9*i + 14*i + 10, -k*i + 3*n + 18 = 0. Factor 1/9*f + 1/9*f**i + 0.
f*(f + 1)/9
Let x(a) be the second derivative of -a**6/480 + a**5/60 - 127*a**2/2 + 5*a - 10. Let f(k) be the first derivative of x(k). Factor f(i).
-i**2*(i - 4)/4
Solve -160*t + 2/3*t**2 + 0 = 0.
0, 240
Let j(r) = r**2 - 188*r + 5702. Let x be j(150). Factor 1/3*b**3 + 0 - 4/3*b**x + b.
b*(b - 3)*(b - 1)/3
Let z = 127 - 44. Let m = z + -81. Suppose 3*d**m + 19*d - 2*d**2 - 3*d - 5*d**2 = 0. What is d?
0, 4
Let s(b) = -b**2 + 6*b - 13. Let a be s(4). Let u(j) = -12*j**2 + 2. Let i(o) = 10*o**2 - 2. Let d(c) = a*i(c) - 4*u(c). Determine z so that d(z) = 0.
-1, 1
Suppose -162 + 64*y**2 - 135*y - 198 - 128*y**2 + 59*y**2 = 0. Calculate y.
-24, -3
Factor 365*b**3 - 719*b**3 + 358*b**3 + 568*b - 258*b**2 + 62*b**2 - 192*b.
4*b*(b - 47)*(b - 2)
Let q(o) = -o**2 + 5*o + 1. Let g be q(5). Let u(n) be the first derivative of -n - 984. Let x(s) = -5*s**2 - 20*s - 4. Let z(t) = g*x(t) - 4*u(t). Factor z(v).
-5*v*(v + 4)
Let j(v) be the first derivative of -10*v**2 + 50*v + 2/3*v**3 - 142. Determine c, given that j(c) = 0.
5
Let y = -21474 + 21474. Let d(g) be the first derivative of 0*g - 1/18*g**4 - 6 + 4/9*g**2 + y*g**3. Factor d(p).
-2*p*(p - 2)*(p + 2)/9
Suppose 30*p + 13 = -y + 26*p, 3*y - p - 13 = 0. Suppose -y*u + 4 + 6 = 5*f, -4*f + 8 = -3*u. Factor -6/13 + 14/13*h - 10/13*h**f + 2/13*h**3.
2*(h - 3)*(h - 1)**2/13
Let q(c) = -2 - c**4 + 10 + c**2 - 7. Suppose 6*g - 307 + 283 = 0. Let b(u) = 3*u**4 - 11*u**3 - 37*u**2 - 5*u + 46. Let y(v) = g*q(v) + b(v). Factor y(p).
-(p - 1)*(p + 2)*(p + 5)**2
Let i(z) be the second derivative of -z**5/10 + 2*z**4 + 28*z**3/3 - 2593*z. Factor i(a).
-2*a*(a - 14)*(a + 2)
Let m be (-364)/(-28) + (-470)/40 + (-65)/(-140). Factor 0 + 0*x - 2*x**4 + 0*x**2 + 10/7*x**5 - m*x**3.
2*x**3*(x - 2)*(5*x + 3)/7
Let i(v) be the third derivative of v**7/70 - 859*v**6/40 + 184899*v**5/20 - 184041*v**4/8 - 7131*v**2. Suppose i(d) = 0. What is d?
0, 1, 429
Let l = 15839 - 15836. Let r(n) be the second derivative of 31*n - 2/3*n**l + 7/3*n**2 - 1/18*n**4 + 0. Find z, given that r(z) = 0.
-7, 1
Let j(l) be the third derivative of l**6/300 + l**5/150 - 7*l**4/30 - 8*l**3/5 - 14*l**2 - 9*l. Factor j(t).
2*(t - 4)*(t + 2)*(t + 3)/5
Let x(w) = -4*w**2 + 6*w - 1. Let i(a) = -a**2 + a - 1. Let g(n) = 3*i(n) - x(n). Let y be g(4). Suppose -28*s - 2*s**2 + 8*s**y - 10 + 26 = 0. What is s?
2/3, 4
Let -17/2*w**5 + 83/2*w**4 - 71/2*w**2 - 56*w - 6 + 129/2*w**3 = 0. Calculate w.
-1, -2/17, 1, 6
Let o(s) be the second derivative of -s**5/20 - 3*s**4 + 18*s**2 - s - 39. Let y(w) be the first derivative of o(w). Solve y(q) = 0 for q.
-24, 0
Let a = -295 + 829. Let -560*q - 6 - a - 155*q**2 + 344*q**3 - 349*q**3 = 0. Calculate q.
-27, -2
Let f(o) be the third derivative of 1/90*o**5 + 5*o + 0 + 1/360*o**6 - 1/18*o**4 + 4*o**2 - 4/9*o**3. Solve f(r) = 0.
-2, 2
Let y(d) be the second derivative of 62*d - 20*d**3 + 21*d**4 + 8*d**2 + 0 - 49/10*d**5. Find m, given that y(m) = 0.
2/7, 2
Suppose 33*u - 495 = 18*u. Suppose -14*n + 61 = u. Determine t so that 1/3*t - 1/3*t**3 - 1/9*t**n - 1/9*t**4 + 2/9 = 0.
-2, -1, 1
Let u be ((-20)/(-6))/(5/15). Let o(g) = -2*g**2 + 28*g - 28. Let x(d) = -4*d**2 + 56*d - 57. Let f(l) = u*o(l) - 4*x(l). Determine j so that f(j) = 0.
1, 13
Let p(v) = -v**3 + 12*v**2 - 29*v + 1110. Let c be p(15). Factor -2/7*w**3 + 0*w + 0*w**2 - 6/7*w**5 + c + 8/7*w**4.
-2*w**3*(w - 1)*(3*w - 1)/7
Determine f, given that -2638*f**3 - 34840/3*f**2 - 35912/3*f + 0 - 2/3*f**5 + 260/3*f**4 = 0.
-2, 0, 67
Let u(j) = -45*j**5 + 57*j**4 + 21*j**3 - 72*j**2 - j. Let y(v) = -42*v**5 + 58*v**4 + 22*v**3 - 70*v**2. Let h(s) = 4*u(s) - 5*y(s). Find x such that h(x) = 0.
-1, 0, 1/15, 1, 2
Let n(m) be the third derivative of 5*m**8/21 - 4*m**7/7 + 3*m**6/8 - 2*m**2 - 487*m. Find b, given that n(b) = 0.
0, 3/4
Let h(p) be the third derivative of -17/6*p**3 - 1/27*p**4 - 1/540*p**5 - 12*p**2 + 0 + 1/540*p**6 + 0*p. Let j(x) be the first derivative of h(x). Factor j(v).
2*(v + 1)*(3*v - 4)/9
Suppose 8*b - 9*b + 1 = 0. Suppose -3*t + 2*t + q + b = 0, -2*t + 2 = 3*q. Factor t - 7 - 8*l + 6 - 4*l**2.
-4*l*(l + 2)
Let c(n) be the first derivative of 0*n - 5/6*n**4 + 0*n**2 + 93 - 1/15*n**5 + 11/9*n**3. Determine s, given that c(s) = 0.
-11, 0, 1
Suppose -169*c + 53*c + 464 = 0. Let q(f) be the second derivative of -5/6*f**3 - 5/6*f**c + 0*f**2 + 33*f + 3/4*f**5 + 0. Factor q(b).
5*b*(b - 1)*(3*b + 1)
Let v be -11*(-4 + 6 - 1). Let l be (v/(-4) - 1) + 3/12. Factor 0*y**2 - 8*y - 2 - 1 + 3*y**l.
(y - 3)*(3*y + 1)
Let t(z) be the second derivative of 3*z**5/160 - 91*z**4/16 + 8281*z**3/16 - 1110*z. Let t(c) = 0. Calculate c.
0, 91
Let s(w) be the third derivative