
0, 1
Let v be (-2*7/35)/((-1)/5). Let g(k) = -7*k**4 + 47*k**3 - 146*k**2 + 220*k - 120. Let z(q) = -q**4 + q**3 + 2*q**2. Let r(o) = v*z(o) - g(o). Factor r(h).
5*(h - 3)*(h - 2)**3
Let n(o) = -o**2 + 22*o - 66. Let v(i) = i**2 - 15*i + 65. Let g(b) = 3*n(b) + 2*v(b). Factor g(k).
-(k - 34)*(k - 2)
Let o = -6989 + 6993. Let s(f) be the first derivative of -1/16*f**o + 1/12*f**3 + 3/4*f - 47 + 5/8*f**2. Determine h so that s(h) = 0.
-1, 3
Let b = -4 - -9. Let g be 84/40 - ((-40)/5)/(-80). Factor 0*m**g - 5/2*m**b + 0*m**4 + 0 + 5*m**3 - 5/2*m.
-5*m*(m - 1)**2*(m + 1)**2/2
Let d be 10 - 7 - (-1 - -7). Let x(t) = -t**2 - 2*t - 3. Let c(i) = -4*i**2 - 145 + 143 + 3*i**2 - i. Let f(h) = d*c(h) + 2*x(h). Find g, given that f(g) = 0.
0, 1
Let r be ((-220)/50 - -4) + -2 + 732/5. Let i(y) be the first derivative of 22 - 26*y**4 - 192*y**2 + 12/5*y**5 + 316/3*y**3 + r*y. Factor i(z).
4*(z - 3)**2*(z - 2)*(3*z - 2)
Let r be 1 + -2 + -3 + (-576)/(-2). Determine h, given that r*h + 759*h**3 + 7*h**5 + 192 - 908*h - 13*h**5 + 147*h**2 + 18*h**5 - 192*h**4 = 0.
-1, 1/2, 8
Suppose -137*m = 47*m - 11*m. Determine f so that 7/3*f**5 + 0*f - 2*f**2 + 5/3*f**3 + 6*f**4 + m = 0.
-2, -1, 0, 3/7
Factor 41464/23*h + 2/23*h**3 + 580/23*h**2 - 85264/23.
2*(h - 2)*(h + 146)**2/23
Suppose 79*j = -46*j - 81*j + 42*j. Let z(k) be the third derivative of -1/6*k**3 + j*k - 1/360*k**5 + 0 + 19*k**2 - 7/144*k**4. Find c, given that z(c) = 0.
-6, -1
Suppose -h - 2*f - 3 + 6 = 0, f = 0. Find n, given that -20*n**2 - 35*n**h + 51*n - 151*n + 50*n**3 = 0.
-2, 0, 10/3
Find p such that 18/5*p**3 + 0 + 0*p + 3/5*p**4 + 3*p**2 = 0.
-5, -1, 0
Let d(g) = 23*g**4 + 12*g**3 + 61*g**2 + 73*g + 12. Let m(z) = -2*z**4 - z**2 + z + 3. Let r(i) = 2*d(i) + 22*m(i). Factor r(x).
2*(x + 1)*(x + 3)**2*(x + 5)
Let q(j) be the second derivative of -3/40*j**5 + 0 - 83*j - 15/2*j**2 - 3/4*j**3 + 3/4*j**4. What is h in q(h) = 0?
-1, 2, 5
Determine l, given that 1/8*l**2 - 577/4*l + 332929/8 = 0.
577
Let q(h) be the third derivative of -h**6/300 - h**5/25 + 21*h**4/20 - 36*h**3/5 + 451*h**2. Suppose q(s) = 0. Calculate s.
-12, 3
Factor -3/7*h**3 - 9*h**2 - 360/7 - 42*h.
-3*(h + 2)*(h + 4)*(h + 15)/7
Let n(i) be the third derivative of 1/60*i**5 + 2*i**2 + 0*i**3 + 1/240*i**6 + 1/48*i**4 + 94*i + 0. Factor n(h).
h*(h + 1)**2/2
What is x in -232*x**3 + 3*x + 216*x**3 + 12*x + 14*x**2 + 7*x**4 - 21*x**4 + x**5 = 0?
-1, 0, 1, 15
Let r(w) be the first derivative of w**4/4 + 26*w**3 - 79*w**2/2 + 1014. Factor r(y).
y*(y - 1)*(y + 79)
Let k(p) = 48*p**2 - 306*p + 14. Let f(u) = -17*u**2 + 102*u - 5. Let o(m) = -14*f(m) - 5*k(m). Determine c, given that o(c) = 0.
0, 51
Let v(g) be the second derivative of g**7/21 - 31*g**6/5 + 1483*g**5/5 - 5790*g**4 + 23400*g**3 + 108000*g**2 + 437*g. Factor v(b).
2*(b - 30)**3*(b - 4)*(b + 1)
Let f(k) be the second derivative of k**4/4 - 9*k**3/2 + 12*k**2 + 3588*k. Let f(l) = 0. What is l?
1, 8
Suppose 113*z = 326*z + 811*z - 2048. Find l, given that 6/5*l**3 - 12/5*l**z + 9/5*l**4 - 6/5*l + 3/5 = 0.
-1, 1/3, 1
Let a(p) = -p**3 + p**2 - p. Let o be a(0). Let x = 751179/5 - 150227. Determine d so that 12/5*d**2 + 37/5*d**4 + o - x*d**3 - d**5 + 0*d = 0.
0, 2/5, 1, 6
Suppose 3/2*v**3 + 69/2*v**2 + 171/2 + 237/2*v = 0. What is v?
-19, -3, -1
Let a(j) be the second derivative of j**6/180 + 47*j**5/40 - 575*j**4/72 + 241*j**3/12 - 145*j**2/6 - 37*j + 13. Factor a(x).
(x - 2)*(x - 1)**2*(x + 145)/6
Determine t, given that -3/2*t**5 + 6*t**4 + 33/2*t**3 + 9*t**2 + 0*t + 0 = 0.
-1, 0, 6
Let v = 129 - 124. Find z, given that 3*z**v - 77*z**4 + 75*z**4 - z**5 - 12*z**3 + 10*z + 6 - 4*z**2 = 0.
-1, 1, 3
Let m be ((-6)/(-8))/((-371)/56 + 7). Solve -8*i**2 + 21*i**2 - 9*i**m - 3*i**2 + 3*i - 5*i = 0 for i.
0, 2
Let i(g) be the third derivative of 0*g + 2/5*g**3 + 11/120*g**4 - 1/300*g**5 + 0 + 107*g**2. Let i(b) = 0. What is b?
-1, 12
Let s be 3 + 9 + 400/(-36) - 6/9. Let l be (-14)/(-6) - 5/15. Let s*y**l + 4/9 - 2/3*y = 0. What is y?
1, 2
Suppose -5*h = -2*g - 22, 0 = 2*g - 5*h + 8*h - 10. Let l be 240/39 + g - (-5)/(-1). Let 0 - 6/13*i + l*i**2 = 0. Calculate i.
0, 3
Let s(h) be the first derivative of -h**7/420 + h**6/40 - h**5/30 - 5*h**3 + h**2 - 67. Let p(c) be the third derivative of s(c). Factor p(n).
-n*(n - 4)*(2*n - 1)
Let n(a) be the second derivative of -a**4/48 + 3565*a**3/48 - 891*a**2/8 + 37*a - 40. What is t in n(t) = 0?
1/2, 1782
Let s = -7061473/9 + 784609. Find x such that -2/9*x**3 + 2/3*x**4 + 0*x + s + 2/9*x**5 - 14/9*x**2 = 0.
-2, -1, 1
Factor -261/4*n + 39*n**2 - 17/4*n**3 + 61/2.
-(n - 1)**2*(17*n - 122)/4
Find o, given that 906*o**2 - 3/2*o**3 + 0 - 136806*o = 0.
0, 302
Let y(n) be the third derivative of 8/3*n**3 + 0*n + 2/3*n**4 + 0 + 89*n**2 + 1/15*n**5. Find c such that y(c) = 0.
-2
Let r(i) be the second derivative of i**6/10 + 3*i**5/10 - 49*i**4/4 - i**3 + 72*i**2 - 4404*i. Suppose r(d) = 0. Calculate d.
-8, -1, 1, 6
Let t be (-8)/(-10)*(-90)/(-12). Suppose -4*s + 72 = 3*o - t, 3*s = -2*o + 53. Factor -63*a - 2*a**3 - 50 - o*a**2 - 37*a + 30*a.
-2*(a + 1)*(a + 5)**2
Let x(d) be the third derivative of 3*d**6/40 - 19*d**5/10 - 217*d**4/8 - 34*d**3 + 2*d**2 - 125*d. Let x(g) = 0. Calculate g.
-4, -1/3, 17
Let a be (-1551)/(-273) - (-8)/896*-16. Factor 24/13*b + a + 2/13*b**2.
2*(b + 6)**2/13
Factor -30246/5 - 2988/5*v**2 + 21/5*v**3 + 106713/5*v.
3*(v - 71)**2*(7*v - 2)/5
Suppose -54*v - 57*v = -121*v + 60. Let w(u) be the first derivative of 14739/16*u**4 + 153/2*u**2 + 867/2*u**3 + v*u - 35. Factor w(o).
3*(17*o + 2)**3/4
Let w(h) be the second derivative of 67500*h**2 + 1/4*h**5 + 216*h + 2250*h**3 + 75/2*h**4 + 0. Suppose w(j) = 0. Calculate j.
-30
Let i be -34*((-15)/10 - -1). What is q in i*q + 24*q**3 - 18*q**2 - 33*q + 20*q - 8*q**4 = 0?
0, 1/2, 2
Let r be 2/10 + 18/10. Suppose -3*k + 4*s = -14, 3*k - s = -5*s - r. Factor -8*l**2 + 0*l + 7*l - 3*l**4 - 9*l**3 - l**k - 10*l.
-3*l*(l + 1)**3
Let n(q) be the first derivative of q**7/42 - 17*q**5/12 + 15*q**4/2 - 50*q**3/3 + 3*q**2 + 63. Let h(z) be the second derivative of n(z). Solve h(b) = 0 for b.
-5, 1, 2
Let c(v) = 120*v - 40920. Let h be c(341). Factor -1/4*t**2 + 1/4*t**3 + 0 + h*t.
t**2*(t - 1)/4
Let l be (837/27 - 30) + 3. Let -2000/3 + 2600/3*m - 220*m**2 + 62/3*m**3 - 2/3*m**l = 0. What is m?
1, 10
Let w(z) = z**3 + 10*z**2 + 17*z + 2. Let v be w(-7). Suppose 3*d = -v + 51. Factor -d*b**3 - 8*b**2 - 3*b**4 - 1/2*b**5 - 9/2*b - 1.
-(b + 1)**4*(b + 2)/2
Let b(w) be the second derivative of w**5/90 - 110*w**4/27 + 5213*w. Factor b(q).
2*q**2*(q - 220)/9
Let x(j) be the second derivative of j**6/3240 + j**5/36 + 25*j**4/24 - 4*j**3/3 - j**2 - 52*j. Let y(t) be the second derivative of x(t). Factor y(s).
(s + 15)**2/9
Let d(o) be the first derivative of 16*o**2 + 44 + 1/180*o**5 + 1/18*o**4 + 2/9*o**3 + 0*o. Let q(p) be the second derivative of d(p). Factor q(g).
(g + 2)**2/3
Let p(s) be the first derivative of s**4/22 + 410*s**3/33 + 37*s**2 + 406*s/11 - 548. Factor p(q).
2*(q + 1)**2*(q + 203)/11
Let x be ((-20)/(-30))/((-7)/(-945)). Solve -3*u**2 - x - 82 + 112 + 27*u = 0 for u.
4, 5
Factor -159/8*i + 75/8*i**2 + 81/8 + 3/8*i**3.
3*(i - 1)**2*(i + 27)/8
Let i(o) be the third derivative of o**8/80 - 43*o**7/350 - 99*o**6/200 - 41*o**5/100 + o**4/5 + 51*o**2 + 24. Solve i(z) = 0.
-1, 0, 1/7, 8
Let c(p) be the first derivative of -5/12*p**6 - 77 + 60*p + 265/24*p**4 - 125/2*p**2 - 1/6*p**5 + 145/18*p**3. Determine k, given that c(k) = 0.
-3, 2/3, 1, 4
Let k(y) be the first derivative of -76/3*y**2 + 7/12*y**4 - 20*y - 172 + 205/9*y**3. Factor k(g).
(g - 1)*(g + 30)*(7*g + 2)/3
Let x(u) be the third derivative of u**9/20160 + u**8/2240 - u**7/420 - u**5/6 - 38*u**2. Let k(g) be the third derivative of x(g). Factor k(i).
3*i*(i - 1)*(i + 4)
Let y(f) = -f**5 + 6*f**4 - 13*f**3 + 16*f**2 - 6*f - 2. Let z(h) = -h**5 + 3*h**4 - h**3 - h**2 + h - 1. Let r(o) = y(o) - 2*z(o). Factor r(n).
n*(n - 2)*(n - 1)**2*(n + 4)
Suppose 128904*h + 887*h + 70017*h + h**3 + 198916 + 893*h**2 = 0. Calculate h.
-446, -1
Let s(r) be the second derivative of 1/120*r**5 - 3*r + 0*r**2 + 0*r**3 - 4 - 1/252*r**7 + 0*r**4 + 0*r**6. Let s(g) = 0. Calculate g.
-1, 0, 1
Let k = 16006 - 16003. Let a(j) be the first deriv