-2*a**3 + 4/7*a - 24/7*a**4 + 2*a**2 + u = 0.
-1, -1/4, 0, 2/3
Factor 1235/6 - 18*w + 1/6*w**2.
(w - 95)*(w - 13)/6
Let h(j) be the second derivative of 5*j**7/336 - 37*j**6/240 - 17*j**5/20 + 5*j**4/8 - 578*j - 2. Suppose h(k) = 0. What is k?
-3, 0, 2/5, 10
Let q be (-98)/(-10) - 34/(-17)*(-27)/6. Determine u so that -29/5*u**3 + 0*u + 0 + 19/5*u**4 + q*u**5 + 6/5*u**2 = 0.
-6, 0, 1/4, 1
Factor -5/3*w + 7/3*w**2 - w**3 + 1/3.
-(w - 1)**2*(3*w - 1)/3
Let y(m) be the third derivative of -m**7/350 - 163*m**6/600 + 23*m**5/60 + 55*m**4/24 - 4*m**2 - 1057. Determine k so that y(k) = 0.
-55, -1, 0, 5/3
Determine x so that -1113/4*x**2 + 441/4 + 3/2*x**4 + 3081/8*x - 1749/8*x**3 = 0.
-2, -1/4, 1, 147
Let x = -5389/5 + 1078. Let s(w) be the first derivative of -1/20*w**4 - 1/5*w**3 - x*w - 3/10*w**2 - 28. Determine j so that s(j) = 0.
-1
Let a(f) be the second derivative of -f**5/10 + 29*f**4/6 + 43*f**3 + 99*f**2 - 2669*f. Let a(u) = 0. Calculate u.
-3, -1, 33
Suppose 0 = -y + 3*d - 12, -464 = -3*y - 5*d - 444. Let m(t) be the second derivative of 1/2*t**3 - 2*t - 3*t**2 + 1/4*t**4 + y. Factor m(o).
3*(o - 1)*(o + 2)
Let z(q) be the first derivative of 166 + 60*q**2 + 2/3*q**3 + 1800*q. Solve z(u) = 0 for u.
-30
Let f(q) = -11*q - 146. Let v be f(-13). Let u be v*14/105*-1. Find g, given that 1/5*g**3 + 0 + u*g**2 + 1/5*g = 0.
-1, 0
Let k be 58/493 - (-9985)/(-51). Let h = k - -196. Factor h + 2/3*l + 1/3*l**2.
(l + 1)**2/3
Let f(p) = -2*p**2 + 192*p - 734. Let j be f(4). Determine a, given that 32/5 - 2/5*a**j + 6*a = 0.
-1, 16
Let b be 5 - -2 - ((32 - 38) + (-9 - (-1064)/49)). Factor -12/7 + 0*j**2 + b*j**3 - 2*j.
2*(j - 3)*(j + 1)*(j + 2)/7
Let x(s) = -3*s + 35. Let i(n) = -7*n + 72. Let c(t) = -4*i(t) + 7*x(t). Let b be c(7). Solve 0 - 6*p**2 + b*p**4 - 8/3*p**5 + 4/3*p + 4/3*p**3 = 0 for p.
-1, 0, 1/4, 1, 2
Suppose -1497*h - 716*h + 4426 = 0. Suppose -8/5 - 2/5*n**h + 1/5*n**4 + 12/5*n - 3/5*n**3 = 0. Calculate n.
-2, 1, 2
Let q = 40242/5 + -8048. Let k(u) be the first derivative of 1/5*u**2 - 1/10*u**4 - q*u**3 + 6/5*u + 5. Factor k(p).
-2*(p - 1)*(p + 1)*(p + 3)/5
Let l(p) be the second derivative of -p**7/126 - 8*p**6/45 - 7*p**5/5 - 4*p**4 + 2*p + 1130. Determine t, given that l(t) = 0.
-6, -4, 0
Let m = 1203 - 947. Suppose m*q = 243*q. Factor -3/4*g**3 + q*g - 3/4*g**2 + 0 + 3/4*g**4 + 3/4*g**5.
3*g**2*(g - 1)*(g + 1)**2/4
Let b be 1712/1070 + 2*(-213)/360. Let v(u) be the second derivative of 0 - 35*u + b*u**4 + 15*u**2 + 35/6*u**3. Factor v(t).
5*(t + 1)*(t + 6)
Let p = 867 + -862. Let n(w) be the second derivative of -1/70*w**p + 1/14*w**4 + 0*w**3 + 0 + 0*w**2 + 4*w. Factor n(m).
-2*m**2*(m - 3)/7
Let s = 7983103/18 - 887011/2. Factor 0*n + 10/3*n**2 + 0 - s*n**3.
-2*n**2*(n - 15)/9
Let c(n) be the first derivative of n**5/15 - 5*n**4/3 + 50*n**3/3 - 47*n**2 - n - 12. Let j(v) be the second derivative of c(v). Factor j(g).
4*(g - 5)**2
Let w(h) be the third derivative of 0*h - 1/80*h**6 + h**3 + 1/20*h**5 + 2*h**2 + 7/16*h**4 - 1. Factor w(v).
-3*(v - 4)*(v + 1)**2/2
Suppose 31*g - 32 = 15*g. Suppose -g*p + 2*q + 9 = p, 0 = -2*p + 5*q + 6. Solve 2/5*r**p + 6*r + 18/5 + 14/5*r**2 = 0 for r.
-3, -1
Let i(o) be the second derivative of 1219*o**4/60 + 731*o**3/6 - 3*o**2/5 + 42*o + 70. Factor i(p).
(p + 3)*(1219*p - 2)/5
Let k be 12/(-28) + (-1005)/(-2100). Let d(n) be the third derivative of 0*n + 0*n**4 - 10*n**2 + 0*n**3 - 1/120*n**6 + 0 + k*n**5. Factor d(w).
-w**2*(w - 3)
Let w(x) = -16*x**3 - 102*x**2 + 222*x - 104. Let h(s) = -23*s**3 - 153*s**2 + 333*s - 157. Let o = -97 - -104. Let r(t) = o*w(t) - 5*h(t). Factor r(q).
3*(q - 1)**2*(q + 19)
Let v(t) = 4*t**3 + 136*t**2 - 26*t - 132. Let w(d) = -21*d**3 - 681*d**2 + 142*d + 659. Let k(h) = -22*v(h) - 4*w(h). Factor k(g).
-4*(g - 1)*(g + 1)*(g + 67)
Let k(r) be the second derivative of 2*r**5/35 + 17*r**4/6 - 22*r**3/3 + 31*r**2/7 + 1197*r. Solve k(s) = 0.
-31, 1/4, 1
Let d(b) = -b**3 - 2*b - 2. Let l(t) = -4*t**3 - 36*t**2 - 4*t - 4. Suppose 4*n + 2*j = -9 - 3, -n + 2*j = -2. Let v(r) = n*l(r) + 4*d(r). Factor v(k).
4*k**2*(k + 18)
Factor -28*f + 2/5*f**2 + 138/5.
2*(f - 69)*(f - 1)/5
Let n(q) be the first derivative of 4*q**5/15 - 16*q**4/3 - 68*q**3/9 - 1509. Determine l, given that n(l) = 0.
-1, 0, 17
Let p = 33011 + -33007. Let v(g) be the third derivative of 21*g**2 - 2/3*g**p + 0 + 0*g**3 - 1/30*g**6 - 1/3*g**5 + 0*g. Factor v(s).
-4*s*(s + 1)*(s + 4)
Suppose -59*h - 30*h = 0. Suppose -j - 13 = -5*r, -4*j = -r - 2*r + 18. Solve -6/11*t**3 + 8/11*t**4 + h + 8/11*t - 2/11*t**5 - 8/11*t**r = 0.
-1, 0, 1, 2
Let x be 8/(-6)*(-216)/(-16). Let a = 103 - x. Factor 16 - 13*c**3 + a*c**2 - 72*c - 71*c**3 - 3*c**3 - 3*c**3 + 25*c**4.
(c - 1)**2*(5*c - 4)**2
Suppose -92*c = -97*c + 5*q - 60, 0 = -c - q + 12. Factor 1/11*i**2 - 25/11 + c*i.
(i - 5)*(i + 5)/11
Let z(v) = 3*v**3 - 34*v**2 - 20*v - 9. Let m be z(13). Let y = 578 - m. Factor -1/4*i**y + 5/4 + i.
-(i - 5)*(i + 1)/4
Let l(a) be the third derivative of 0*a**4 - 7/480*a**6 + 0*a**3 + 37*a**2 + 0*a**7 + 1/1344*a**8 + 1/40*a**5 - a + 0. Factor l(z).
z**2*(z - 2)*(z - 1)*(z + 3)/4
Let k be 1*-6*19/(-38). Let w be k/(27/42) - (3 + 1). Factor -8/3 + 2/3*b**4 - w*b**2 + 10/3*b**3 - 2/3*b**5 - 16/3*b.
-2*(b - 2)**2*(b + 1)**3/3
Let p(c) = -4850*c + 63052. Let i be p(13). Determine m so that 7/4 + 3/2*m - 1/4*m**i = 0.
-1, 7
Let u(f) be the second derivative of f**7/21 - 3*f**6/5 + 17*f**5/10 + 11*f**4/2 - 30*f**3 + 3143*f. Factor u(d).
2*d*(d - 5)*(d - 3)**2*(d + 2)
Determine o so that 836 - 4/5*o**2 - 336/5*o = 0.
-95, 11
Let o = -14581969/5409888 + 180/56353. Let b = -9/352 - o. Let 14/3*n**5 - 10/3*n**4 + b + 32/3*n - 46/3*n**3 + 2/3*n**2 = 0. What is n?
-1, -2/7, 1, 2
Let v(w) = 68*w - 3941. Let d be v(58). Find k, given that 0 - 2/9*k**5 - 8*k**d + 32/9*k**2 + 22/9*k**4 + 128/9*k = 0.
-1, 0, 4
Let n = -272 - -277. Let i be 20/(-50) + 3/n. Let 3/5*j + j**2 + i*j**3 - 9/5 = 0. What is j?
-3, 1
Suppose -30 + 34 = -3*x + 2*m, 15 = 3*m. Determine u, given that 3*u**2 + 82 + 89*u - 82 - 186 - x*u + 0*u**2 = 0.
-31, 2
Let k = -54492/7 - -7818. Let y = -632/21 + k. Find s, given that -32/3*s - y - 2*s**2 = 0.
-5, -1/3
Let i(t) = -20*t**2 + 7136*t - 1044284. Let u(g) = -7*g**2 + 2381*g - 348094. Let h(x) = 3*i(x) - 8*u(x). Factor h(b).
-4*(b - 295)**2
Let a = -580 + 823. Factor -471 + 240 - 4*h**2 + a - 8*h.
-4*(h - 1)*(h + 3)
Let o(h) be the third derivative of h**5/180 + 5*h**4/4 + 328*h**3/9 + 296*h**2 + 2*h. Factor o(l).
(l + 8)*(l + 82)/3
Let n(k) be the second derivative of -7*k**6/270 - 149*k**5/180 - 35*k**4/108 + 149*k**3/54 + 7*k**2/3 - 668*k. Find l, given that n(l) = 0.
-21, -1, -2/7, 1
Solve 3/7*a**5 + 0 - 36/7*a**3 - 54/7*a**2 + 81/7*a + 6/7*a**4 = 0.
-3, 0, 1, 3
Let s be (5/((-300)/(-42)))/(12/288*42). Factor 2/15*n + 2/15*n**4 + s*n**2 + 0 + 2/5*n**3.
2*n*(n + 1)**3/15
Suppose -4*y + 2*d + 176 = -2*y, 0 = y + 2*d - 91. Suppose 5 = k, 5 = a - 2*k + 12. Find r such that -23*r**2 + 3*r + a*r - y*r**2 + 10*r + 196*r**3 = 0.
0, 2/7
Suppose 696 - 1002 = -102*d. Suppose 21/4*n - 3/4*n**d + 3 + 3/2*n**2 = 0. What is n?
-1, 4
Suppose -1049*y**3 + 2114*y**3 + 475*y + 480*y**2 - 1060*y**3 = 0. Calculate y.
-95, -1, 0
Let g(s) be the second derivative of -1/168*s**7 - 1/120*s**6 + 0*s**2 + 13/48*s**4 + 1/4*s**3 + 7/80*s**5 - 3*s + 16. Suppose g(x) = 0. Calculate x.
-2, -1, 0, 3
Let c(t) = -3*t - 6*t - 12*t + 3*t + t**2 + 2. Let i be c(18). Find y, given that -8 + 6*y**i - 6*y**2 - 4*y**2 - 12*y = 0.
-2, -1
Factor -328/7*w**2 + 648/7 + 316/7*w + 4/7*w**3.
4*(w - 81)*(w - 2)*(w + 1)/7
Let l(f) = 216*f**2 - 6*f - 6. Let r be l(2). Let y = r + -14376/17. Let 0 + y*z + 2/17*z**3 + 8/17*z**2 = 0. What is z?
-3, -1, 0
Let h = 46 - 44. Let l = h - -2. Factor 3*m**5 + 14*m**l - 16*m**4 + 11*m**4 + 6*m**3.
3*m**3*(m + 1)*(m + 2)
Let a(k) be the first derivative of -4*k**5/9 - 52*k**4/9 - 388*k**3/27 - 4*k**2/9 + 64*k/3 - 3747. Let a(f) = 0. Calculate f.
-8, -2, -1, 3/5
Let n(j) = 3*j**5 - j**4 - j**3 + j**2 + j. Let r(q) = 24*q**5 - 35*q**4 + 32*q**3 - 9*q**2 + 6*q. Let k(y) = -6*n(y) + r(y). What is h in k(h) = 0?
0, 5/6, 1, 3
Let s(t) be the first derivative of 13/12*t**3 - 1/2*t + 1 + 9/8*t**4 - 7/8*t**2. Suppose s(a) = 0. What is a?
-1, -