0.
-2, -1, 1
Let h be (((-9)/(-6))/(-1))/(81/(-144)). Factor -h*m**3 + 0*m + m**4 - m**2 + 0.
m**2*(m - 3)*(3*m + 1)/3
Let u(y) be the first derivative of -2*y**3/9 - 61*y**2/3 + 2572. Let u(m) = 0. Calculate m.
-61, 0
Let k(q) be the second derivative of -q**7/5040 - 7*q**6/1440 - q**5/20 - q**4/12 - 2*q**2 + 181*q. Let a(i) be the third derivative of k(i). Factor a(o).
-(o + 3)*(o + 4)/2
Let p be (130/585)/(-1 + 60/54). Factor -p - 1/4*w**2 - 3/2*w.
-(w + 2)*(w + 4)/4
Factor 270*z - 849*z + 278*z + 72*z**2 + 2*z**3 + 225*z + 2*z**3.
4*z*(z - 1)*(z + 19)
Let c(u) be the second derivative of -7*u**6/6 + 61*u**5/4 + 85*u**4/2 - 290*u**3/3 - 100*u**2 - 3003*u. Let c(r) = 0. What is r?
-2, -2/7, 1, 10
Let -14/5 - 1/10*d**3 + 2/5*d**2 + 5/2*d = 0. What is d?
-4, 1, 7
Solve -72*q**2 - 19*q - 2 + 196*q**2 - 53*q**2 - 50*q**2 = 0.
-2/21, 1
Let n(a) be the second derivative of -a**4/4 - 93*a**3 + 561*a**2/2 - 672*a. Let n(v) = 0. What is v?
-187, 1
Let o(r) = -215*r. Let x be o(0). Let c(u) be the third derivative of 0*u**4 + 0*u**3 - 1/12*u**5 + x*u + 10*u**2 + 0. Factor c(s).
-5*s**2
Find l, given that 12100/7*l**3 + 16/7*l + 0 - 880/7*l**2 = 0.
0, 2/55
Let s(c) be the second derivative of -25*c + 1/4*c**4 - 5/2*c**3 + 0 - 9*c**2. Determine h, given that s(h) = 0.
-1, 6
Factor 6/11*r**2 - 2/11*r - 6/11 + 2/11*r**3.
2*(r - 1)*(r + 1)*(r + 3)/11
Let x(h) be the first derivative of -133/17*h**4 - 98/85*h**5 + 228/17*h**2 - 72/17*h + 64 - 554/51*h**3. Factor x(q).
-2*(q + 3)**2*(7*q - 2)**2/17
Let k = -7302/145 - -1472/29. Factor -k*x**2 - 12/5*x - 2.
-2*(x + 1)*(x + 5)/5
Let c(p) = -37*p - 72. Let s be c(-2). Solve 2280 + 2281 - 6*u**4 - 70*u**5 - 4569 + 158*u**s + 214*u**3 = 0.
-1, -2/7, 1/5, 2
Let t = 107187/4 + -26796. Determine k so that -t*k**4 + 15/8*k**2 + 0*k + 27/8*k**3 + 0 = 0.
-1/2, 0, 5
Let u = 48 - 43. Suppose 35 = 3*l - 4*v, 0*l = u*l + v - 20. Let -2*k**3 + k**l - 2*k**4 - k**4 + 2*k**4 = 0. What is k?
-1, 0, 2
Let y(g) be the second derivative of g**4/42 + 568*g**3/21 + 80656*g**2/7 - 2938*g. Factor y(c).
2*(c + 284)**2/7
Suppose -3*o - o = -2*m + 84, m = 4*o + 34. Determine j so that m*j**3 - 104*j**3 + 5*j**5 + 5*j**2 - 5*j**4 + 49*j**3 = 0.
-1, 0, 1
Let v(w) be the second derivative of -w**7/840 + 7*w**5/120 + w**4/4 - 13*w**3/3 + w + 7. Let x(r) be the second derivative of v(r). Factor x(n).
-(n - 3)*(n + 1)*(n + 2)
Let w be (-75)/(-50) - (-6)/4. Let 109*d**3 - 19*d + 69*d - 77*d**w + 4 + 112*d**2 + 2 = 0. What is d?
-3, -1/4
Let h(z) = -2*z**3 + 7*z**2 - 8. Let k be h(3). Let y(u) = 21*u**2 - 12. Let c(d) = d**2. Let r(j) = k*y(j) - 18*c(j). Determine l so that r(l) = 0.
-2, 2
Let t = -111 - -114. Suppose -t = -x + 21. Determine d, given that 51*d - 3*d - x*d**2 - 3*d**4 + 29 - 29 - 21*d**3 = 0.
-4, 0, 1
Let 8*s**4 - 39*s - 19590*s**2 - 124*s**3 - 29*s + 19390*s**2 = 0. What is s?
-1, -1/2, 0, 17
Let x(c) be the third derivative of c**8/1512 - c**7/21 + 43*c**6/270 + c**5/135 - 29*c**4/36 + 43*c**3/27 + 4241*c**2. What is g in x(g) = 0?
-1, 1, 43
Let x(m) be the third derivative of -5*m**8/336 + m**7/14 + m**6/4 - 13*m**5/6 + 45*m**4/8 - 15*m**3/2 - 882*m**2. Determine d so that x(d) = 0.
-3, 1, 3
Suppose 68*v = -10*v + 5*v + 803. Let m(k) be the first derivative of -432/11*k - 1/22*k**4 - 108/11*k**2 + v - 12/11*k**3. Factor m(i).
-2*(i + 6)**3/11
Let v be (-120)/560*42/(-270). Let k(g) be the second derivative of -2*g + 2 + 1/3*g**4 - 2*g**2 + 1/9*g**3 - v*g**5. Find l such that k(l) = 0.
-1, 1, 6
Suppose 0 = -3*i - q - 13, 8*q + 104 = -256*i + 251*i. Find x, given that -572/7*x**2 + 20/7*x**3 + i - 232/7*x = 0.
-2/5, 0, 29
Suppose -13 = -3*q - u, 2*u + 3*u = -10. Determine l so that -12*l**2 + 44*l**3 - 47*l**5 - 23*l**q + 66*l**5 + 12*l**4 - 40*l = 0.
-2, -1, 0, 1, 5
Suppose -2*y = -10, 2*s + 14 = -s + 4*y. Suppose 8*w + s*w = 2*w. Factor 1/8*o + 0 + w*o**2 - 1/8*o**3.
-o*(o - 1)*(o + 1)/8
Let s be (-525)/(-27) + 44/(-99). Factor g**5 - 6*g**4 + 12*g**2 - 4*g**5 - 26*g + s*g**3 - 13*g - g**3 + 18.
-3*(g - 1)**3*(g + 2)*(g + 3)
Let p be (-10)/45*-63 + -10 + -1. Let -w**p + 6/5*w**2 + 9/5*w - 2/5 = 0. Calculate w.
-1, 1/5, 2
Let r(o) be the second derivative of -o**7/98 + 23*o**6/70 - 6018*o. Let r(f) = 0. What is f?
0, 23
Let a be (-9)/(-108)*3424/(-36) - -8. Let v(q) be the first derivative of -1/9*q**2 - 2/9*q + a*q**3 + 1/18*q**4 + 15. Factor v(l).
2*(l - 1)*(l + 1)**2/9
Factor -969*t + 3438 - 1106*t + 2630*t - 3*t**2.
-3*(t - 191)*(t + 6)
Let a(x) be the first derivative of 5*x**4/28 + 16*x**3/21 - 17*x**2/14 - 4*x/7 - 3076. Factor a(w).
(w - 1)*(w + 4)*(5*w + 1)/7
Let x(v) = -21*v**3 + 51*v - 22. Let n(i) = -11*i**3 + 26*i - 12. Let c(g) = -g**3 - 4*g**2 + g - 7. Let p be c(-4). Let r(s) = p*n(s) + 6*x(s). Factor r(d).
-5*d*(d - 2)*(d + 2)
Let z = 818170 - 818167. What is k in 1/2*k**z - 13/4*k**2 + 3 + 17/4*k = 0?
-1/2, 3, 4
Let c(f) = -7*f + 51. Let u be c(7). Find d, given that 3*d**2 - 18*d**u + 18 + 20*d + d = 0.
-3/5, 2
Let j(m) be the first derivative of 25*m**3/18 + 295*m**2/2 + 10443*m/2 + 5138. Determine i, given that j(i) = 0.
-177/5
Suppose 2*s**2 + 9152*s + 7436102 + 498*s - 1602910 - 526*s + 4572730 = 0. What is s?
-2281
Suppose -6*h**3 + 4*h**3 + 54*h**2 - 83 + 113*h + 340 + 79 - 501*h = 0. What is h?
1, 12, 14
Let w(i) be the first derivative of -4*i**3/3 - 6*i**2 + 4*i - 537. Let o(h) = 0*h + 3*h - 1 - 2*h. Let u(f) = 4*o(f) + w(f). Let u(s) = 0. Calculate s.
-2, 0
Let d = 51 + -50. Let b be 11/5 - (-3 - d)/(-20). What is s in 2*s**3 - 4*s**4 + 16*s**4 - 2*s**b + 8*s - 10*s**4 - 10*s**3 = 0?
-1, 0, 1, 4
Let t(b) = -8*b**3 - 23*b**2 - 4*b + 7. Let l(q) = 4*q**3 + 12*q**2 + 3*q - 3. Let c(z) = 7*l(z) + 3*t(z). Factor c(y).
y*(y + 3)*(4*y + 3)
Let x(a) be the third derivative of 4 + 2*a**2 - 1/8*a**4 - 7/40*a**5 + 0*a**3 - 9/80*a**6 - 1/28*a**7 + 0*a - 1/224*a**8. Let x(w) = 0. What is w?
-2, -1, 0
What is n in -64/3 - 2328*n - 23762/3*n**3 - 63656*n**2 = 0?
-8, -2/109
Let p be -1444 - -1455 - ((-2 - 14/(-8)) + 37/4). Let 2/3*w**3 - 8/3*w + 0 - 2*w**p = 0. What is w?
-1, 0, 4
Let m(f) = 8*f**2 - 158*f + 450. Let c(i) = -15*i**2 + 303*i - 900. Let l(s) = -5*c(s) - 9*m(s). Determine k so that l(k) = 0.
6, 25
Let b(g) be the first derivative of g**6/3 + 26*g**5/5 + 33*g**4/2 + 62*g**3/3 + 10*g**2 + 6760. Find i, given that b(i) = 0.
-10, -1, 0
Suppose -2*h = -s + 3*h - 11, -2*s + 11 = h. Suppose -s*f - 8 = -8*f. Factor -21/8*b**3 + 3/8*b + 3/2*b**4 + 3/4*b**f + 0.
3*b*(b - 1)**2*(4*b + 1)/8
Let r = 18141 + -18124. Let f(q) be the first derivative of 0*q + 3*q**2 - r + 3/4*q**4 - 3*q**3. Let f(o) = 0. What is o?
0, 1, 2
Suppose s + 27*w - 28*w - 13 = 0, -64 = -5*s + 4*w. Let i(g) be the third derivative of -1/16*g**5 + 0 - 1/4*g**3 + 7/32*g**4 + 0*g - s*g**2. Factor i(j).
-3*(j - 1)*(5*j - 2)/4
Let b(w) be the third derivative of -w**8/462 - 47*w**7/385 - 59*w**6/132 + 5*w**5/22 + 299*w**4/132 + 2*w**3 + 3105*w**2. Let b(u) = 0. What is u?
-33, -2, -1, -1/4, 1
Let l = -2973 + 118923/40. Let k(d) be the second derivative of -14*d - l*d**5 - 1/40*d**6 + 0*d**3 + 0 - 1/16*d**4 + 0*d**2. Find g, given that k(g) = 0.
-1, 0
What is p in 157/3*p**2 - 1/3*p**3 + 308/3 - 464/3*p = 0?
1, 2, 154
Let v(j) be the second derivative of j**5/10 - 11*j**4/3 + 136*j**3/3 - 192*j**2 - 46*j - 65. Factor v(x).
2*(x - 12)*(x - 8)*(x - 2)
Let a(g) = 14*g**4 - 12*g**3 - 15*g**2 + 11*g + 3. Let o(h) = 16 - 9 - h**3 + h**4 - 6 + 0*h**4. Let l(u) = 3*a(u) - 3*o(u). Suppose l(c) = 0. What is c?
-1, -2/13, 1
Let d(o) be the first derivative of 2*o**3/3 - 183*o**2 + 768. Factor d(r).
2*r*(r - 183)
Let k = 2/944971 + -12589848659/12284623. Let f = k - -1025. Factor -16/13*n + 0 + 8/13*n**2 + 4/13*n**3 - f*n**4.
-2*n*(n - 2)**2*(n + 2)/13
Let a(o) = -o**3 + 589*o**2 + 2373*o + 6. Let g be a(-4). Factor -1/4*k**3 + 15/4 + 9/4*k**g - 23/4*k.
-(k - 5)*(k - 3)*(k - 1)/4
Suppose -3*t + 24 = 4*p, 8*p - 4*t = 13*p - 31. Suppose -i + p*g + 6 = 0, -i - g + 84 - 82 = 0. Factor 35/2*v + 1/2*v**i + 13/2*v**2 - 49/2.
(v - 1)*(v + 7)**2/2
Suppose 33*c**3 - 108*c**4 - 266357*c**5 + 181*c**3 + 1960*c**2 + 308*c**3 + 266343*c**5 - 600*c = 0. Calculate c.
-10, -3, 0, 2/7, 5
Let n(s) be the third derivative of -s**8/6720 - s**7/1260 + s**6/48 - 95*s**4/8 - 2*