**2 + 7/6*z**3 = 0?
-4/3, -1, 1
Let y(u) = 2*u - 5. Let h be y(-3). Let j be (498/(-2905))/(2/(h - -1)). Factor -3/7*s**2 - 9/7*s - j.
-3*(s + 1)*(s + 2)/7
Let q(u) be the first derivative of -51 + 1/30*u**5 + 25/6*u + 10/3*u**2 + 1/3*u**3 - 1/3*u**4. Suppose q(d) = 0. Calculate d.
-1, 5
Let g(m) = 4*m - 13. Let r be g(4). Factor -12*l**r + 14*l**3 - 80*l + 5*l**4 + 22*l**3 + 11*l**3 + 40*l**2.
5*l*(l - 1)*(l + 4)**2
Let f(y) = -21*y - 33. Suppose 5*j - 24 = 2*v, -3*j - 1 + 11 = v. Let d(l) = -l**2 - 22*l - 34. Let m(g) = v*f(g) + 3*d(g). Solve m(s) = 0.
-6, -2
Let d = -1182/7 + 764747/4529. Let x = d + 3237/1294. What is q in -5/2*q + 5/2 + x*q**3 - 5/2*q**2 = 0?
-1, 1
Let s(p) be the third derivative of -p**8/252 - 4*p**7/45 - 71*p**6/90 - 166*p**5/45 - 10*p**4 - 16*p**3 + 53*p**2 - 78*p. Determine u, given that s(u) = 0.
-6, -3, -2, -1
Let g(w) = w**2 - w + 1. Let i(a) = 6*a**2 - 23*a - 21. Let q(v) = -35*g(v) + 5*i(v). Factor q(y).
-5*(y + 2)*(y + 14)
Suppose s = -4, 20 = 4*r + 5*s - 8*s. Factor -b**r - b**3 + 23 + 0*b**3 + 19 - 41 + b.
-(b - 1)*(b + 1)**2
Let v(j) be the first derivative of -j**4/4 + 11*j**3/3 + 3*j**2/2 - 130*j + 152. Let x be v(10). Factor 3/2*q**2 - 3/2*q + x.
3*q*(q - 1)/2
Let r = -352477 + 352479. Factor 40/13 - 2/13*f**r + 16/13*f.
-2*(f - 10)*(f + 2)/13
Factor 5*u**2 - 2*u**3 - 98*u - 8 - 15*u**2 + 40*u + 42*u.
-2*(u + 1)*(u + 2)**2
Suppose 3*k + 99 = x + 84, 0 = -x - 2*k. Let l(o) be the first derivative of -3/10*o**2 - 2/5*o**3 - x + 0*o - 3/20*o**4. Let l(w) = 0. What is w?
-1, 0
Let y(q) be the third derivative of -q**7/735 + q**6/70 + q**5/70 - 5*q**4/21 + 4*q**3/7 + 657*q**2. What is d in y(d) = 0?
-2, 1, 6
Let o(k) be the second derivative of -k**4/3 - 152*k**3/3 - 2688*k**2 + 7642*k. Let o(x) = 0. What is x?
-48, -28
Solve -1663/4*z**2 + 3249/4 + 3/2*z**3 - 1/8*z**5 - 3211/8*z + 7/2*z**4 = 0 for z.
-9, -2, 1, 19
Let m(c) be the third derivative of 0*c + 0*c**4 - 4*c**2 + 0 + 1/600*c**6 - 5*c**3 + 3/200*c**5. Let v(s) be the first derivative of m(s). Solve v(r) = 0.
-3, 0
Let h(v) be the second derivative of -v**6/15 - 11*v**5/2 + 19*v**4/2 + 55*v**3/3 - 56*v**2 + 7671*v. Factor h(y).
-2*(y - 1)**2*(y + 1)*(y + 56)
Let t(g) be the first derivative of g**3/12 + 47*g**2/2 + 93*g + 7390. Solve t(j) = 0.
-186, -2
Determine y so that -14/3*y - 2/15*y**3 - 16/5 - 8/5*y**2 = 0.
-8, -3, -1
Suppose -4*m + 28 - 4 = 0. Let l be (-7)/((-84)/(-16))*m/(-4). Solve -21*f**4 - 17*f**4 - 37 + 24*f**l - 11 + 35*f**4 = 0 for f.
-2, 2
Let m(b) be the first derivative of -b**7/210 + 2*b**6/45 - b**5/10 + 58*b**3/3 - 50. Let n(o) be the third derivative of m(o). Let n(j) = 0. Calculate j.
0, 1, 3
Let i be -25*7/1400*16*1/(-3). Suppose -i*h**4 + 0*h + 0*h**2 + 0 - 1/3*h**5 + 0*h**3 = 0. Calculate h.
-2, 0
Let m(n) be the third derivative of 0*n + 9*n**2 + 0*n**3 + 2/105*n**6 - 13 + 0*n**4 - 2/21*n**5 + 1/735*n**7. Solve m(p) = 0.
-10, 0, 2
Let h be ((-923)/426)/((-1820)/336). Let 4/5*c**3 + h*c**4 + 0*c**2 + 0*c + 0 = 0. Calculate c.
-2, 0
Let d be (-414)/(-54) + (-14 - (1 - 8)). Let -384 - 32*y - d*y**2 = 0. Calculate y.
-24
Suppose 3*q + 58 - 70 = 0. Factor 7*u**4 - u**5 - 8*u**4 - q*u**5 + 16*u**4.
-5*u**4*(u - 3)
Let r(a) be the first derivative of -3*a**5/20 + 3*a**4/16 + 3*a**3 + 3*a**2/2 - 12*a - 842. Find j such that r(j) = 0.
-2, 1, 4
Factor 2*d**2 + 2144 - 6*d**2 - 7715*d + 6651*d.
-4*(d - 2)*(d + 268)
Let o(w) be the second derivative of -2/3*w**3 - 2/3*w**4 + 2*w**2 - 2/21*w**7 + 0 + 2/5*w**5 + 2/15*w**6 - 262*w. Solve o(q) = 0 for q.
-1, 1
Determine p, given that -391 - 18*p**3 + 19*p - 2*p**2 + 91 + 11*p**4 + 291 - p**5 = 0.
-1, 1, 9
Let -893*o**2 - 797449*o - 1/3*o**3 - 712121957/3 = 0. Calculate o.
-893
Suppose 2*d + 0*d - 126 = -4*n, -2*n - 2*d + 68 = 0. Suppose -v = 3*w + 8 + 5, n = 2*v - 5*w. What is b in v*b**3 - 759*b**4 + 754*b**4 + 8*b**3 + 5 - 10*b = 0?
-1, 1
Let j(u) be the first derivative of -2*u**3/21 + 6*u**2 + 86*u/7 + 392. Factor j(b).
-2*(b - 43)*(b + 1)/7
Let w be 8/((-5344)/(-80) - 58). Let l = -15817/11 - -1439. Determine c so that -w*c + l*c**2 + 0 - 2/11*c**3 = 0.
0, 1, 5
Let b = -2183357/2 - -1091679. Factor -35/2*n + 17/2 - b*n**3 + 19/2*n**2.
-(n - 17)*(n - 1)**2/2
Factor 60*u**2 + 223 - 198 - 8*u**4 + 70*u + 2*u**4 + 10*u**3 + u**4.
-5*(u - 5)*(u + 1)**3
Let y(b) = -b**3 + b**2 - b. Let r be -7 - (-2 - (1 + 5)). Let p(o) = 28*o**3 + 23*o**2 + o. Let u(v) = r*y(v) + p(v). Find m such that u(m) = 0.
-8/9, 0
Let l be (-10 + 2016/45)/(2/30). Suppose -515*i = -l*i + 28. Solve 2/5*o**3 - 6/5*o**2 + 2/5*o**i - 2*o - 4/5 = 0 for o.
-1, 2
Let z(g) be the third derivative of 15/8*g**4 - 119*g**2 + 0*g + 0*g**3 + 0 - 1/12*g**5. Factor z(u).
-5*u*(u - 9)
Let g(v) be the third derivative of -v**8/50400 - v**7/12600 + 4*v**5/5 - 48*v**2. Let x(c) be the third derivative of g(c). Find u such that x(u) = 0.
-1, 0
Determine v, given that 1025*v - 255 + 3*v**3 - 51 - 22*v**3 + 16 - v**3 + 545*v**2 = 0.
-2, 1/4, 29
Let 205710 - 12*q + 4*q**2 - 3*q**2 - 205843 - 3*q**2 + 3*q**2 = 0. What is q?
-7, 19
Suppose -29*x + 12*x = 31*x - 96. Let t(h) be the third derivative of -1/420*h**6 + 0 - 1/42*h**4 + 0*h**3 - 1/70*h**5 - 28*h**x + 0*h. Factor t(o).
-2*o*(o + 1)*(o + 2)/7
Let a(y) = y**2 - 221*y + 5404. Let p be a(28). Let n(w) be the first derivative of 0*w + p*w**3 - 11 - 1/2*w**4 + w**2. Solve n(x) = 0 for x.
-1, 0, 1
Factor 19*s - 1/4*s**2 - 37.
-(s - 74)*(s - 2)/4
Let w(v) be the first derivative of -9*v**2/2 - 250*v - 81. Let d be w(-28). Factor 3/5 + 4/5*i + 1/5*i**d.
(i + 1)*(i + 3)/5
Let u = 1023822/5 - 204762. Solve 3/5*z**4 + u*z**3 + 36/5 - 39/5*z**2 - 12/5*z = 0.
-6, -1, 1, 2
Let b(w) be the first derivative of -w**6/540 + w**4/36 - 2*w**3/3 - 7*w + 54. Let i(d) be the third derivative of b(d). Factor i(x).
-2*(x - 1)*(x + 1)/3
Let m(j) = 5*j**4 - 6*j**3 + 8*j**2 + 9*j - 1. Let t(n) = 26*n**4 - 30*n**3 + 42*n**2 + 46*n - 4. Let c(u) = 16*m(u) - 3*t(u). Factor c(r).
2*(r - 2)*(r - 1)**2*(r + 1)
Let h(p) be the third derivative of p**7/525 + 3*p**6/50 - p**5/150 - 3*p**4/10 + 54*p**2 + 3. Factor h(l).
2*l*(l - 1)*(l + 1)*(l + 18)/5
Let d be -10*1092/1400 + (-7 - -15). Factor d*o**2 - 12/5 + 4/5*o.
(o - 2)*(o + 6)/5
Let y(z) be the first derivative of -z**6/360 - 17*z**5/90 + 71*z**4/72 - 2*z**3 - 9*z**2/2 + z - 226. Let s(w) be the second derivative of y(w). Factor s(i).
-(i - 1)**2*(i + 36)/3
Factor 226/19*v**2 - 116/19*v**3 + 0 - 112/19*v + 2/19*v**4.
2*v*(v - 56)*(v - 1)**2/19
Let i = 135 + -133. Suppose -2*b**3 + 8*b**2 + 2*b**3 + 12*b**i - 4*b**3 = 0. What is b?
0, 5
Let z be (-18)/(-8)*646020/31428. Solve 45 + 75*b + 5/4*b**4 + 25/2*b**3 + z*b**2 = 0.
-3, -2
Let c(h) be the second derivative of h**8/10080 + h**7/3780 - h**6/216 + h**5/60 + 17*h**4/12 + 35*h. Let y(q) be the third derivative of c(q). Solve y(p) = 0.
-3, 1
Factor -3674*w**2 - 487*w - 3421*w**2 + 55*w**3 - 56*w**3 + 735 + 6848*w**2.
-(w - 1)*(w + 3)*(w + 245)
Find z such that 2/7*z**3 - 1664/7 - 1688/7*z - 432/7*z**2 + 2/7*z**4 = 0.
-13, -2, 16
Let a be (-4)/(-8)*(2 - -6). Suppose -a*w + 32 = 4*x, x + 3*w = 6 + 12. Suppose 0*m + 2/7*m**4 + 3/7*m**x + 1/7*m**2 + 0 = 0. What is m?
-1, -1/2, 0
Let o(g) be the second derivative of -g**4/78 + 9*g**3/13 + 28*g**2/13 + 1122*g. Factor o(h).
-2*(h - 28)*(h + 1)/13
Let l = -7189 - -7191. Let q(a) be the first derivative of -5*a + 12 - 5/3*a**3 + 5*a**l. Factor q(h).
-5*(h - 1)**2
Let j = -338/21 + 453/28. Let u(k) be the third derivative of -5/3*k**3 + j*k**5 + 0*k + 5/24*k**4 + 0 - k**2. Factor u(l).
5*(l - 1)*(l + 2)
Let h = -1048 - -948. Let k be (-6)/10*h/(-84)*-3. Determine m, given that -k*m + 3/7 - 18/7*m**2 = 0.
-1, 1/6
Let l = -5/974 + 535715/2922. What is c in -l*c**2 - 164*c - 48 - 224/3*c**3 - 10*c**4 = 0?
-3, -4/5, -2/3
Let k(r) be the second derivative of -r**7/14 - r**6/10 + 42*r**5/5 - 36*r**4 - 1802*r. Factor k(n).
-3*n**2*(n - 4)**2*(n + 9)
Suppose 11*o = 3*o + 96. Factor 25*s**2 - o*s**2 - 6*s - 11*s**2.
2*s*(s - 3)
Let r(f) = 7*f - 35*f**2 + 10*f + f - 29*f**2 + 146 + 63*f**2. Let u be r(-6). Factor -8*z + 6*z**u + 4 - 2*z**3 + 1/4*z**4.
(z - 2)**4/4
Let m be (11 - (-3 + 4))/1. Factor m*l + 2 + 11*l + 15*l + 4*l**2 - 2.
4*l*(l + 9)
Suppose v + 6 = l - 1, -v = l - 13. L