**2 + 68*q**2 - 193*q**2 + 58*q**2 + 9 = 0?
1, 9
Let k(l) be the second derivative of -l**4/84 + 5*l**3/14 + 27*l**2/7 - 1917*l. Determine t, given that k(t) = 0.
-3, 18
What is h in -29700*h + 14030*h**2 - 2882 + 540*h**3 + 5*h**4 + 540 + 5404 + 12063 = 0?
-55, 1
Let w(b) be the second derivative of -1/30*b**6 + 15/2*b**3 - 13/12*b**4 + 3 - 9/20*b**5 + 9*b + 25*b**2. Factor w(h).
-(h - 2)*(h + 1)*(h + 5)**2
Let k be 0 + (-924)/(-440) + -1 + 4/10. Factor -1/6*m**4 - k*m**2 + 0*m + m**3 + 0.
-m**2*(m - 3)**2/6
Let p(l) be the first derivative of -l**6/3 + 14*l**5/5 - 15*l**4/2 + 10*l**3/3 + 16*l**2 - 24*l - 2006. Let p(w) = 0. Calculate w.
-1, 1, 2, 3
Let m(q) = 6*q**2 + 19*q - 1089. Let p be m(12). Solve 2/5*f - 2/5*f**p + 32/5 - 32/5*f**2 = 0 for f.
-16, -1, 1
Let l(q) = -1964*q - 53024. Let c be l(-27). Suppose -1/3*n**5 + 4/3*n**c + 11/3*n**3 + 2*n**2 + 0 + 0*n = 0. What is n?
-1, 0, 6
Suppose -13*s - 1589 = -1901. Let a be 148/(-2)*(-238)/1. Factor -2*n**4 - 17612 - s*n**2 - 16*n + a - 12*n**3.
-2*n*(n + 2)**3
Suppose -9*j - 2*q = -13*j + 101830, -j - 5*q = -25463. Factor -t**5 - 64*t**3 + 25458*t - 16*t**4 - j*t.
-t**3*(t + 8)**2
Let r(o) = -o**3 - 25*o**2 + 35*o + 238. Let q be r(-26). Solve 4*y**3 - 4*y + 1 - 8*y**4 - 5 + 3*y**4 + q*y**4 + 3*y**2 + 2*y**4 = 0 for y.
-2, -1, 1
Let n(h) be the second derivative of 1 + 13/30*h**4 - 2/25*h**5 + 4/15*h**3 - 12/5*h**2 - 1/75*h**6 - 31*h. Suppose n(l) = 0. Calculate l.
-6, -1, 1, 2
Let y(d) be the first derivative of d**8/560 + d**7/56 - d**6/120 - d**5/8 + 76*d**3/3 - 57. Let p(c) be the third derivative of y(c). Factor p(u).
3*u*(u - 1)*(u + 1)*(u + 5)
Let f be (-4 + 2 - -6)/1 + 0. Factor f*b**2 - 9*b - 184 + 233 - 5*b - 3*b**2.
(b - 7)**2
Let m be 31 + -8 - (1 + -10). Suppose -101 + m = -23*b. What is d in -8/5 + 22/5*d + 2/5*d**b - 13/5*d**2 = 0?
1/2, 2, 4
Let q = 63458 + -63456. Factor -4*t**q - 8/3 - 2/3*t**3 - 6*t.
-2*(t + 1)**2*(t + 4)/3
Let l(u) = -2*u**4 - u**3 - 1. Let f(r) = -107*r**3 + 212*r**2 - 17*r**4 - 104*r - 6 + 11*r**4 - 2*r**4 - 11*r**3. Let a(h) = -f(h) + 6*l(h). Factor a(c).
-4*c*(c - 26)*(c - 1)**2
Factor -80/9*u**2 + 2/9*u + 1/9.
-(8*u - 1)*(10*u + 1)/9
Let c = -146 - -149. Solve -73*l + 10 + 71*l**c - 22*l + 200*l**2 + 3*l**3 + 51*l**3 = 0 for l.
-2, 1/5
Let d(r) be the first derivative of 13*r**3/3 - 5*r**2 + 3311. Find u, given that d(u) = 0.
0, 10/13
Suppose -m - 4*m = 2*f + 2, 2*m + f = 0. Let a(s) = 15*s**2 + 55*s + 40. Let j(h) = -7*h**2 - 27*h - 20. Let l(c) = m*a(c) - 5*j(c). Factor l(i).
5*(i + 1)*(i + 4)
Factor -1989*y**2 - 321*y**3 + 1889125*y + 7*y**4 + 4*y**3 + 918 - 1891744*y.
(y - 51)*(y + 3)**2*(7*y - 2)
Let a be (-4)/(-100)*2*(-170)/8. Let p = 139/70 + a. Find x such that 2/7*x**3 + 0*x + p*x**2 + 0 = 0.
-1, 0
Let c be (-63 - -54) + (-74 - -85). Determine a so that -22/5*a + 84/5 - 2/5*a**c = 0.
-14, 3
Solve -104 - 193 + 3*c**2 + 27 + 27*c = 0.
-15, 6
Suppose -79*c - 13038 + 13433 = 0. Factor 2/7*x**3 + 1/7*x**c + 2/7*x**2 - 3/7*x**4 - 3/7*x + 1/7.
(x - 1)**4*(x + 1)/7
Let m(p) be the first derivative of -2*p**5/45 + 5*p**4/9 - 26*p**3/27 - 8*p**2/3 + 477. Find o, given that m(o) = 0.
-1, 0, 3, 8
Let y = 56 - -151. Let w be (-2)/7 - y/(-63). Factor -31*v + 56*v + 4*v**5 - 3*v**w - 21*v - 5*v**3.
4*v*(v - 1)**2*(v + 1)**2
Let z(s) be the second derivative of 122*s + 0 - 1/18*s**4 + 0*s**2 - 2/9*s**3. Determine x, given that z(x) = 0.
-2, 0
Let x = 29261 - 29261. Let u(y) be the first derivative of -1/18*y**4 + x*y + 28 + 0*y**2 - 4/27*y**3. Factor u(i).
-2*i**2*(i + 2)/9
Let h(k) be the first derivative of 8*k**3 - 210 + 0*k - 1/2*k**4 - 20*k**2. Solve h(v) = 0.
0, 2, 10
Let c(s) be the second derivative of 13*s**4/6 + 61*s**3/3 + 48*s**2 + 5*s - 236. Let c(g) = 0. What is g?
-48/13, -1
Let o(z) = -2*z**3 - 14*z**2 + 524*z - 52. Let n be o(13). Solve 1/5*b**3 + n + 9/5*b - 2*b**2 = 0.
0, 1, 9
Let n(d) be the first derivative of d**4/8 - 10*d**3 + 57*d**2/4 + 59*d + 386. Determine f, given that n(f) = 0.
-1, 2, 59
Let r(n) = -13*n**3 - 55*n**2 - 97*n. Let f(q) = -17*q**3 - 73*q**2 - 129*q. Let d(w) = 7*f(w) - 9*r(w). Factor d(j).
-2*j*(j + 3)*(j + 5)
Let j = 97 + -19. Suppose 3*d - j = -72. What is a in -5*a - a**3 - 1 + 757*a**2 + 2*a - 760*a**d = 0?
-1
Let r(q) = -q**3 + 5*q**2 + 4*q - 9. Let f be r(4). Factor 5*o**3 + 23*o - 41*o - 10*o**2 + f*o.
5*o*(o - 1)**2
Let r(k) be the first derivative of -2*k**6/21 - 74*k**5/35 - 221*k**4/14 - 334*k**3/7 - 477*k**2/7 - 324*k/7 + 2362. Find d such that r(d) = 0.
-9, -6, -3/2, -1
Suppose 9 = 5*b - 6. Let h be 48/(-88) + (-83)/(-11). Factor -6 - 3 + b*r**2 - h*r + r.
3*(r - 3)*(r + 1)
Suppose -13*h = 14 - 235. Let t**2 + 23*t + h + 2792 + 56*t + 27*t = 0. What is t?
-53
Let o(k) be the first derivative of 255*k + 5/3*k**3 - 34 - 105/2*k**2. Let f(l) = -3*l**2 + 52*l - 127. Let c(w) = 5*f(w) + 2*o(w). Factor c(a).
-5*(a - 5)**2
Let v(m) be the second derivative of m**5/50 - 97*m**4/30 + 38*m**3/3 - 1007*m. Factor v(b).
2*b*(b - 95)*(b - 2)/5
Let w(m) be the third derivative of 7/156*m**4 + 1/390*m**5 + 2/13*m**3 + 2 + 15*m**2 + 0*m. Determine l so that w(l) = 0.
-6, -1
Let f(n) = n**3 - 7*n**2 - 5*n - 9. Let z be f(7). Let m = -12 - z. Determine x so that 10*x**3 - 3000 - 50*x**4 + 3000 + m*x**2 + 8*x = 0.
-2/5, 0, 1
Let k(t) be the second derivative of -10609*t**4/32 - 3399*t**3/4 - 3267*t**2/4 + 6024*t. Let k(a) = 0. What is a?
-66/103
Let y = -550 - -571. Find z such that -38*z**3 - z**4 + 1071*z**2 - 1089*z**2 - 2*z**5 - y*z**4 = 0.
-9, -1, 0
Let l = -29967 + 29974. Let z(c) be the third derivative of 30*c**2 - 1/120*c**6 + 0*c**4 + 0*c**3 + 0 + 0*c + 1/210*c**l + 0*c**5. Solve z(b) = 0 for b.
0, 1
Let p(l) be the third derivative of -l**6/30 - 19*l**5/15 + 2*l**4/3 + 152*l**3/3 + 3*l**2 - l - 697. Factor p(r).
-4*(r - 2)*(r + 2)*(r + 19)
Suppose -2*u = 27*f - 29*f - 124, 3*u = f + 190. Let s be (u/384)/((-2)/(-30)). Suppose 3/2*l**2 - 3/2*l**4 + l + s*l**5 - 7/2*l**3 + 0 = 0. What is l?
-1, -2/5, 0, 1
Suppose -2*b + 2 = -2*p, 5*b - 40 = 92*p - 94*p. Suppose 0 + 17/5*r**2 + 3/5*r**4 + 1/5*r**p - 3*r**3 - 6/5*r = 0. What is r?
-6, 0, 1
Let w(b) = 285*b + 5135. Let y be w(-18). Let k(q) be the first derivative of 0*q**2 + 2/3*q**6 - 16/3*q**3 + 12/5*q**y - 42 + 0*q + 0*q**4. Factor k(a).
4*a**2*(a - 1)*(a + 2)**2
Let g(j) = 3*j**3 + 42*j**2 + 163*j + 126. Let q(i) = 66*i**3 + 924*i**2 + 3585*i + 2772. Let f(w) = 45*g(w) - 2*q(w). Determine t, given that f(t) = 0.
-7, -6, -1
Let d(s) be the third derivative of s**8/60480 + s**7/630 + s**6/15 + s**5/12 - 3*s**4/4 + 39*s**2. Let q(y) be the third derivative of d(y). Factor q(c).
(c + 12)**2/3
Let w(c) = 3*c + 45. Let a be w(-14). Find y such that -a + 4*y**2 + 4*y**2 + 3*y**3 - 9*y**2 + 4*y**2 - 3*y = 0.
-1, 1
Suppose 0 = -0*q - 46*q + 92. Let j(u) = -u**3 + 2*u**2 + 4*u - 3. Let k be j(3). Factor 32 + 3*o**2 - 28 + k*o**2 - q*o**3 - o**4 + 9*o - o.
-(o - 2)*(o + 1)**2*(o + 2)
Let s = -5 - 0. Suppose 25*b + 6 = 26*b. Let p(m) = m**3 - 29*m**2 - m + 41. Let v(a) = -30*a**2 + 40. Let w(c) = b*v(c) + s*p(c). Factor w(k).
-5*(k - 1)*(k + 1)*(k + 7)
Let d(z) = 10*z**2 - 1283*z - 899. Let y be d(129). Factor -12/5*j**2 - 6/5 + 16/5*j + 2/5*j**y + 0*j**3.
2*(j - 1)**3*(j + 3)/5
Let r(c) be the third derivative of -c**6/300 + 31*c**5/150 + 23*c**4/20 - 33*c**3/5 - 894*c**2. Suppose r(d) = 0. Calculate d.
-3, 1, 33
Suppose -5*u + 9 = -121. Suppose u = 5*a - 4*c, 4*c = 3*a - 12 - 10. Suppose -1 + 1 + s**a - 4 + 4*s - 4*s**3 + 3 = 0. Calculate s.
-1, 1/4, 1
Factor 3/2*w**3 + 5580*w + 363/2*w**2 + 5400.
3*(w + 1)*(w + 60)**2/2
Let d(u) = 2*u + 6. Let h be d(-2). Let p be (24/(-16) + -2)*(-4)/21. Solve 10/9*v**2 - h + 2/9*v**3 + p*v = 0.
-3, 1
Let i(o) be the first derivative of -o**6/15 - 48*o**5/25 - 33*o**4/5 - 128*o**3/15 - 21*o**2/5 + 1376. Factor i(s).
-2*s*(s + 1)**3*(s + 21)/5
Let r be (4374/12)/(10 + -3 + -1). Let b = r - 60. Find j such that 3/2*j**2 - b*j**4 + 9/4*j**3 - 9*j + 6 = 0.
-2, 1, 2
Solve 389 + 202*f**2 + 1952 - 516 + 275 + 4196*f - 4*f**3 + 1890*f**2 = 0.
-1, 525
Let a = -83899/42 + 28013/14. What is h in a*h + 2/3*h**5 + 2/3*h**4 + 4/3*h**2 - 2 - 4*h**3 = 0?
-3, -1, 1
Let s be -1*(36 - (7 - -32)). Factor -22/9*k**2 + 22/9 + 2/9*k**s - 2/9*k.
2*(k -