ond derivative of -1/12*t**3 - 1/4*t**4 + 0 + 32*t + 1/40*t**5 + u*t**2. Let k(s) = 0. Calculate s.
-1, 1, 6
Let a be 92/(-1748) - (-4404)/285 - 15. Suppose -a*u + 1/5*u**2 - 8/5 = 0. Calculate u.
-2, 4
Solve -11/2*m + 1/2*m**2 - 6 = 0 for m.
-1, 12
Let k be 2/(-3) - 9434/267. Let y be 7/63 - ((-208)/k)/(-2). Suppose 3/2*f**4 - 36*f + 3/2*f**2 + 9*f**y + 24 = 0. Calculate f.
-4, 1
Let y be (3/5)/((-4)/(-10)). Let v = -23750 + 23751. Factor y*w**2 + v + 5/2*w.
(w + 1)*(3*w + 2)/2
Find m, given that -12/5*m - 2/5*m**2 - 18/5 = 0.
-3
Suppose -4*b + a = -4, -4*a = 5*a - 36. Find l such that 24/11*l**3 - 8/11 - 2/11*l**b + 10/11*l**4 - 24/11*l = 0.
-2, -1, -2/5, 1
Let d = 47 - 44. Factor -97 - 3*f**d + 44 + 3*f**4 + 53.
3*f**3*(f - 1)
Factor 55200*m**3 - 682571*m**2 - 42151*m**4 + 41583*m**4 + 2*m**5 + 12459008*m - 1281077*m**2.
2*m*(m - 92)**3*(m - 8)
Let d(l) be the first derivative of l**6/8 - 9*l**5/20 + 3*l**4/8 - 555. Let d(w) = 0. Calculate w.
0, 1, 2
Let o = 73 + -73. Suppose p + 2*l + 4 - 6 = o, -4*l + 4 = -2*p. Factor p - 4/11*h + 2/11*h**2.
2*h*(h - 2)/11
Suppose -z - 2*r + 40 = 36, 3*r + 59 = 5*z. Let d be (2/z)/(-7*18/(-315)). Factor 0 - 3/2*j**2 + j + d*j**3.
j*(j - 2)*(j - 1)/2
Suppose -10*i = 15*i - 75. Suppose 2*q + q - 6 = i*k, 3*q + 2*k - 11 = 0. Let -5*r + 1/2*r**q - 1/2*r**2 - 4 = 0. What is r?
-2, -1, 4
Let m = -46 + 32. Let u = 19 + m. Factor -y**5 - 37*y**2 + 2*y**4 + 20*y**2 + 2*y**3 - y**u + 15*y**2.
-2*y**2*(y - 1)**2*(y + 1)
Let h(i) be the second derivative of 27*i**5/80 + 501*i**4/16 + 331*i**3/8 + 165*i**2/8 - 117*i + 6. Suppose h(q) = 0. Calculate q.
-55, -1/3
Let c(h) be the third derivative of 0*h + 1/48*h**4 + 1/280*h**7 + 120*h**2 + 1/240*h**6 + 0*h**3 + 0 - 7/240*h**5. Factor c(j).
j*(j - 1)*(j + 2)*(3*j - 1)/4
Let d(h) = h**2 + 6*h - 101. Let n be d(8). Suppose -62*z + 204 = -n*z. Let 38/9*s - 4*s**3 - 2/9*s**5 + 2 + 4/9*s**2 - 22/9*s**z = 0. What is s?
-9, -1, 1
Let b(y) = 13*y**2 - 4*y + 8. Let f be b(2). Factor -9*j - 3*j**4 + 50*j**3 - 117*j**3 - 21*j**2 + f*j**3.
-3*j*(j + 1)**2*(j + 3)
Suppose 38/3*t**5 + 290/3*t - 224/3*t**4 + 196/3*t**2 - 328/3*t**3 + 28/3 = 0. What is t?
-1, -2/19, 1, 7
Let 3703*z**3 + 2925*z**3 + 66*z**4 + 2008*z**2 + 514*z**4 + 36*z**5 + 380*z**4 + 5408 - 12688*z = 0. What is z?
-13, -2, 2/3
Let 81/5 + 252/5*h**2 - 18*h**3 + 3/5*h**4 - 246/5*h = 0. Calculate h.
1, 27
Let w(q) be the third derivative of -q**5/210 + 143*q**4/84 + 1256*q**2. Factor w(t).
-2*t*(t - 143)/7
Let a(t) be the third derivative of -t**7/210 + 607*t**6/120 - 6161*t**5/4 + 30603*t**4/8 - 1966*t**2. Factor a(b).
-b*(b - 303)**2*(b - 1)
Let u be 42/(-35) + 52/10. Find y such that 288*y - 18*y**2 + 432 + 12*y**2 - 24*y**3 + 3*y**u - 7*y**2 - 11*y**2 = 0.
-2, 6
Let j(f) be the second derivative of f**4/36 + 1214*f**3/9 + 809*f**2/2 - 22*f - 12. Factor j(d).
(d + 1)*(d + 2427)/3
Let y(n) be the third derivative of n**5/15 + 37*n**4/3 + 142*n**3 + 3182*n**2. Factor y(d).
4*(d + 3)*(d + 71)
Let r = 2798 - 2793. Let y(g) be the second derivative of -1/20*g**4 - 9*g - 9/100*g**r - 6/5*g**2 + 0 + 4/5*g**3. Factor y(t).
-3*(t - 1)*(t + 2)*(3*t - 2)/5
Let j(q) be the second derivative of q**6/6 - q**5/4 - 25*q**4/2 + 279*q. Factor j(y).
5*y**2*(y - 6)*(y + 5)
Let a(g) = 56*g**4 + 322*g**3 + 4*g**2 - 316*g - 6. Let q(c) = 47*c**4 + 322*c**3 + 3*c**2 - 317*c - 5. Let o(i) = -5*a(i) + 6*q(i). Let o(b) = 0. What is b?
-161, -1, 0, 1
Let w(z) be the second derivative of 0*z**2 + 18 - 5/9*z**3 - 1/72*z**4 + 8*z. Factor w(f).
-f*(f + 20)/6
Let h(l) = 2*l. Suppose 93*k = 101*k + 200. Let z(w) = -5*w**2 + 100*w - 125. Let d(t) = k*h(t) + z(t). Suppose d(x) = 0. Calculate x.
5
Let x(u) be the second derivative of -2/5*u**5 - 2/3*u**3 + 0*u**2 + 7*u + 5/6*u**4 + 0 + 1/15*u**6. Factor x(i).
2*i*(i - 2)*(i - 1)**2
Let i(v) = -v**3 - 9*v**2 - 7*v + 14. Let l be i(-10). Suppose 10*n**2 + 2116 + 5*n**2 + l*n - 11*n**2 = 0. What is n?
-23
Let t = -98 - -74. Let s be 7 + -3 + 78/t. Factor 9*h - 27 - s*h**2.
-3*(h - 6)**2/4
Let w(n) be the first derivative of n**6/45 + 22*n**5/25 - n**4/30 - 22*n**3/15 - 1388. Determine g so that w(g) = 0.
-33, -1, 0, 1
Let h(m) be the third derivative of m**7/35 + m**6/3 + 11*m**5/30 - m**4/2 - 13*m**2 + 1. Determine d, given that h(d) = 0.
-6, -1, 0, 1/3
Let b(n) = 288*n**2 - 8553*n - 2319. Let c(l) = -29*l**2 + 855*l + 232. Let t(x) = 2*b(x) + 21*c(x). Factor t(u).
-3*(u - 26)*(11*u + 3)
Suppose -3*m - 647*s = -652*s - 267, 391 = 4*m - 9*s. Factor -4/3 - 98/3*u**3 + m*u**2 - 30*u.
-2*(u - 1)**2*(49*u + 2)/3
Let a(b) = -b**2. Let c(p) be the first derivative of -460*p**2 + 42320*p + 314. Let v(d) = 5*a(d) - c(d). Factor v(t).
-5*(t - 92)**2
Let b(l) be the third derivative of 1/24*l**6 - 9*l**2 + 115/3*l**3 - 8 + 0*l + 11/3*l**5 - 455/24*l**4. Suppose b(c) = 0. What is c?
-46, 1
Let m(t) be the first derivative of -3*t**2 + 1 + 0*t - 1/12*t**5 + 5/6*t**3 + 0*t**4. Let q(h) be the second derivative of m(h). Factor q(g).
-5*(g - 1)*(g + 1)
Factor 159*u**2 + 160*u**2 - 258*u + 162*u**2 + 158*u**2 - 637*u**2.
2*u*(u - 129)
Let g(m) be the second derivative of -m**5/5 + 77*m**4/3 + 2*m**3/3 - 154*m**2 + 5642*m. Let g(a) = 0. What is a?
-1, 1, 77
Let l(n) be the second derivative of -n**6/15 - 159*n**5/5 - 8319*n**4/2 + 52160*n**3/3 + 76800*n**2 - 2286*n. Suppose l(t) = 0. What is t?
-160, -1, 3
Let a(d) be the first derivative of -1/12*d**3 - 282 + 21/4*d - 1/2*d**2. Solve a(k) = 0 for k.
-7, 3
Let k(p) be the third derivative of -p**6/30 + 43*p**5/15 - 61*p**4/3 + 160*p**3/3 + 399*p**2. Factor k(l).
-4*(l - 40)*(l - 2)*(l - 1)
Let s be (-44)/220 - 93/180*-2. Let f(p) be the second derivative of 9*p + 0 + 5*p**2 + 5/2*p**3 - 35/12*p**4 + s*p**6 - 3/4*p**5. Factor f(z).
5*(z - 1)**2*(z + 1)*(5*z + 2)
Let a be -4*(7855/7850 + -1). Let s = 626/785 - a. Solve -4/5*y**3 + 2/5*y**5 + 2/5*y**4 - s*y**2 + 2/5*y + 2/5 = 0.
-1, 1
Let g(w) be the second derivative of -w**5/5 + 139*w**4/3 + 2363*w + 1. Suppose g(b) = 0. Calculate b.
0, 139
Let j(v) be the first derivative of v**4/6 + 34*v**3/3 - 166*v**2/3 - 144*v + 123. Determine p, given that j(p) = 0.
-54, -1, 4
Suppose 124*b - 1470 + 1098 = 0. Determine a, given that 1/3*a**3 + a - b + 5/3*a**2 = 0.
-3, 1
Let s(y) be the second derivative of y**8/672 - y**7/560 - y**6/360 + 14*y**3/3 - y**2 + 23*y. Let o(p) be the second derivative of s(p). Factor o(w).
w**2*(w - 1)*(5*w + 2)/2
Let z(i) be the third derivative of -i**7/840 + 9*i**6/160 - 71*i**5/240 - 9*i**4/32 + 3*i**3 - 2*i**2 + 33. Suppose z(k) = 0. What is k?
-1, 1, 3, 24
Let a(q) be the third derivative of q**6/1800 - 19*q**5/300 + 361*q**4/120 - 7*q**3 + 7*q**2 - q. Let w(x) be the first derivative of a(x). Factor w(o).
(o - 19)**2/5
Let u(m) = -2*m**2 - m - 135. Let t be u(0). Let c be (6/t)/((-8)/80). Find s such that 0 + 2/3*s**2 + c*s = 0.
-2/3, 0
Let o(s) be the first derivative of 300*s - 190*s**2 - 88/3*s**3 + 30*s**4 + 44/5*s**5 - 63 + 2/3*s**6. Let o(c) = 0. Calculate c.
-5, -3, 1
Determine a, given that 2/7*a**3 + 0*a - 4*a**2 + 0 = 0.
0, 14
Let g(s) be the third derivative of s**5/100 - 347*s**4/4 + 602045*s**3/2 - 2*s**2 + 95*s + 10. Determine z, given that g(z) = 0.
1735
Let g(q) be the third derivative of q**6/240 + 19*q**5/80 + 9*q**4/8 + 29*q**3/3 + 18*q**2. Let k(v) be the first derivative of g(v). Factor k(i).
3*(i + 1)*(i + 18)/2
Let i be (-88)/(-6 - (-39)/6). Let y be (-692)/i + (-22)/121. Let 15/4*v**3 - 9/4*v**4 - 3/2 - y*v + 15/4*v**2 = 0. What is v?
-1, -1/3, 1, 2
Let m be 2 + 1068/(-114) + 6 - -2. Let n(j) = -j**2 - 9*j + 192. Let g be n(10). Suppose 2/19*z**g - m*z + 10/19 = 0. Calculate z.
1, 5
Let c(d) = 4*d**2 - 1014*d + 2014. Let w be c(2). Factor 169/5 - 26/5*k + 1/5*k**w.
(k - 13)**2/5
Let f(v) be the second derivative of 0*v**2 + 1/54*v**4 + 0 - 92*v - 2/9*v**3. Determine m so that f(m) = 0.
0, 6
Determine w so that -413*w**4 - 16*w - 2*w**5 + 36*w**2 + 4*w**5 - 22*w**3 + 413*w**4 = 0.
-4, 0, 1, 2
Suppose 26*p - 10340 = 4*p. Let b be 6/(-8) + p/(-1000)*-5. Find w, given that -6/5*w**2 + b - 2/5*w**3 + 0*w = 0.
-2, 1
Factor -786/5 + 56/3*i - 2/15*i**2.
-2*(i - 131)*(i - 9)/15
Suppose 2187 + 2790 = 7*s. Let n = s - 711. Determine z so that 0*z + 2/19*z**2 + n - 2/19*z**3 = 0.
0, 