g**2.
-2*g**2*(g + 1)*(g + 3)
Suppose -5*k = -d - 1, -2*d + 35 - 27 = -5*k. Let g be d + (-98)/7 - -7. Suppose 4/3 - 1/3*z**g - 4/3*z + 1/3*z**3 = 0. What is z?
-2, 1, 2
Let u(m) be the third derivative of m**6/180 - m**5/45 - m**4/9 + 8*m**3/9 - 37*m**2 + 4. What is g in u(g) = 0?
-2, 2
Let y = -1006 + 985. Let v be y/(-10) - (0 - 39/(-65)). Solve 3/2*r**2 + 3/2*r + 0 - 3/2*r**4 - v*r**3 = 0 for r.
-1, 0, 1
Let a(c) be the third derivative of c**8/112 - 8*c**7/35 + 29*c**6/20 - 6*c**5/5 - 99*c**4/8 - 45*c**2. Suppose a(v) = 0. What is v?
-1, 0, 3, 11
What is v in 50*v**3 - 162*v**2 - 2*v**5 - v**4 + 20*v**4 - 288*v**2 - 3*v**4 + 2*v**4 = 0?
-5, 0, 5, 9
Let j(o) = o**3 + 24*o**2 + 21*o - 43. Let n be j(-23). Suppose n + 19 = 11*a. Factor 10*i**3 + 55*i + 5*i**a - 55*i + 5*i**4.
5*i**2*(i + 1)**2
Suppose a + 2*n - 156 + 168 = 0, 2*a - 56 = 4*n. Find m, given that -1/3*m**3 + 2*m**4 + 0 - a*m**2 - 1/3*m**5 - 16/3*m = 0.
-1, 0, 4
Suppose -5*g = 2*h - 103 - 230, -330 = -5*g - 5*h. Let d(z) = -13*z + 967. Let c be d(g). Factor -15/2*k**3 - 1/2*k**4 - 42*k**2 - 104*k - c.
-(k + 3)*(k + 4)**3/2
Let y = 28 + -20. Let g be 3 - 2 - 1/y*6. Solve g*q - 1/4*q**3 - 1/4*q**2 + 1/4*q**4 + 0 = 0 for q.
-1, 0, 1
Let h(o) be the third derivative of o**5/70 + 2*o**4/21 + o**2 + 474. Find p, given that h(p) = 0.
-8/3, 0
Let i(b) = -2*b**2 + 4*b + 1. Let z(u) = -4*u**3 + 72*u**2 + 4*u - 12. Let h(g) = -12*i(g) - z(g). Find c such that h(c) = 0.
-1, 0, 13
Let j(u) = u**2 + 4*u + 7. Let a be j(-2). Factor a*d**3 - 142 + 7*d**3 - 15*d**3 - 463 - 495*d + 105*d**2.
-5*(d - 11)**2*(d + 1)
Let b = 57 - 55. Let 13*t**2 + 13 + 24*t - 11*t**2 - 4*t**b + 13 = 0. Calculate t.
-1, 13
Let u be -2 - ((-2)/3)/((-4)/(-18)). Let h be (-2)/(u*2/(-3)). Factor 4*o**2 + 0*o**3 - 4*o + 2*o**3 + 2 - 6 + 2*o**h.
4*(o - 1)*(o + 1)**2
Factor -807/5 + 1611/5*p - 801/5*p**2 - 3/5*p**3.
-3*(p - 1)**2*(p + 269)/5
Let i = 6439 + -19313/3. Let h(n) be the second derivative of 1/10*n**5 + 2/15*n**6 + 0 + 0*n**2 + 26*n - i*n**4 - 4/3*n**3. What is g in h(g) = 0?
-2, -1/2, 0, 2
Factor 1/5*s**3 - 58/5 - 23*s - 56/5*s**2.
(s - 58)*(s + 1)**2/5
Suppose -3*b = -h - 38, -2*h = 2*b - 7*b + 62. Factor 3*x**2 + b*x**2 - 3*x**3 - 2*x**2 - 2*x**3.
-5*x**2*(x - 3)
Let d(v) be the second derivative of v**10/6048 - v**8/672 + v**6/144 - v**4/3 - 3*v**2/2 + 60*v. Let l(u) be the third derivative of d(u). Factor l(y).
5*y*(y - 1)**2*(y + 1)**2
Let y(v) be the third derivative of -13/9*v**4 + 0 + 70*v**2 - 8/3*v**3 + 1/63*v**7 + 0*v + 17/45*v**5 + 37/180*v**6. Let y(g) = 0. What is g?
-6, -2, -2/5, 1
Let f = 457 - 455. Factor -13160*w**2 + 1993 + 13163*w**f + 1475 + 204*w.
3*(w + 34)**2
Let m(i) = -i**2 - 1. Let j(f) = -8*f**3 + 72*f**2 + 28*f + 20. Suppose b = 5*b - 224. Let q be 16/b - (-18)/(-14). Let p(v) = q*j(v) - 20*m(v). Factor p(r).
4*r*(r - 7)*(2*r + 1)
Let i(s) be the second derivative of s**7/14 - 11*s**6/10 + 18*s**5/5 + s**4 - 16*s**3 + 2582*s. Let i(a) = 0. Calculate a.
-1, 0, 2, 8
Let a(i) be the second derivative of i**7/10 - 3*i**6/50 - 21*i**5/100 + 3*i**4/20 + i + 248. Find l, given that a(l) = 0.
-1, 0, 3/7, 1
Suppose -22 = -4*h + 5*l, l = -3*h + 2128 - 2121. Let o(p) be the first derivative of 0*p**2 + 2/51*p**h - 50 - 2/17*p. Factor o(g).
2*(g - 1)*(g + 1)/17
Let c(u) be the first derivative of u**4/16 - 61*u**3/24 - 95*u**2/16 - 4*u - 1411. What is i in c(i) = 0?
-1, -1/2, 32
Let v(p) = 47*p. Let w be (-15 - -15)*(1*-2)/(-10). Let a be v(w). What is b in 0 - 1/3*b**4 + 2/3*b**3 + a*b - 1/3*b**2 = 0?
0, 1
Let i = 16521/77 + -2071/11. Solve -4/7*v**5 + 36/7 + i*v**2 - 120/7*v**3 - 132/7*v + 36/7*v**4 = 0 for v.
1, 3
Let q(o) = -300*o**3 + 13990*o**2 + 23675*o + 9655. Let c(h) = 53*h**3 - 2469*h**2 - 4178*h - 1704. Let l(t) = 45*c(t) + 8*q(t). Determine d so that l(d) = 0.
-1, -2/3, 56
Let n = -1239/25 + 2553/50. Factor n*x**2 + 3/2*x + 0.
3*x*(x + 1)/2
Let f(g) = -11*g**4 - 14*g**3 + 54*g**2 + 26*g - 5. Let t(z) = 6*z**4 + 8*z**3 - 27*z**2 - 12*z + 3. Let a(b) = -3*f(b) - 5*t(b). What is p in a(p) = 0?
-3, -2/3, 0, 3
Let 17/3*y - 1/3*y**5 + 8/3*y**4 + 2/3*y**2 - 16/3*y**3 - 10/3 = 0. What is y?
-1, 1, 2, 5
Let l(v) = -21*v**2 - 19*v + 6. Suppose -7*z = 4 + 24. Let x(a) = -85*a**2 - 75*a + 25. Let t(g) = z*x(g) + 15*l(g). Factor t(n).
5*(n + 1)*(5*n - 2)
Let s = -158/3 - -53. Let t(u) be the second derivative of 0*u**3 + 0*u**2 + 0 - s*u**4 + 1/10*u**5 - 14*u. Determine i, given that t(i) = 0.
0, 2
Let l = -19/402 + 1911/268. Let x(c) be the first derivative of l*c**3 + 15/2*c + 1/4*c**5 - 85/8*c**2 + 11 - 35/16*c**4. Factor x(i).
5*(i - 3)*(i - 2)*(i - 1)**2/4
Let w = -532 - -527. Let h(b) = 10*b**4 + 25*b**3 + 35*b**2 + 5*b + 5. Let s(l) = 5*l**4 + 12*l**3 + 18*l**2 + 2*l + 3. Let c(g) = w*s(g) + 3*h(g). Factor c(q).
5*q*(q + 1)**3
Factor 249 - 23233*i**2 + 3*i**4 - 295*i**3 + 23989*i**2 + 37*i**3 - 750*i.
3*(i - 83)*(i - 1)**3
Let p(g) be the first derivative of -g**7/210 + 2*g**6/45 - 2*g**5/15 - 14*g**3 + 44. Let u(w) be the third derivative of p(w). Factor u(x).
-4*x*(x - 2)**2
Let i be (1006/(-503) + (1 - -2))/(-1*(-2)/4). Find m, given that 59/7*m**3 + 72/7 - 58/7*m**2 + 1/7*m**5 - i*m**4 - 60/7*m = 0.
-1, 1, 2, 6
Let y(u) be the first derivative of 3*u**5/25 - 321*u**4/20 + 3016*u**3/5 - 12168*u**2/5 + 3434. Factor y(r).
3*r*(r - 52)**2*(r - 3)/5
Factor -124105*c - 114996*c + 73370*c**3 - 47707*c + 1257*c**5 + 74*c**5 - 2950*c**2 + 18755*c**4 + 205379 - 9077*c.
(c - 1)**2*(11*c + 59)**3
Factor -24*x - 6/5*x**3 + 0 + 362/5*x**2.
-2*x*(x - 60)*(3*x - 1)/5
Suppose 226 = 4*i - 194. Factor 3675*r + 3*r**3 - i*r**2 + 4*r**3 - 3*r**3 - 6001 - 3*r**3 - 36874.
(r - 35)**3
Let n(q) be the second derivative of -q**7/14 + 2*q**6/5 + 3*q**5/10 - 3*q**4 - 9*q**3/2 + 944*q. Determine c so that n(c) = 0.
-1, 0, 3
Let x(r) be the first derivative of 27*r**4/8 - 191*r**3/6 + 71*r**2 - 10*r + 1489. Solve x(i) = 0 for i.
2/27, 2, 5
Let t(k) be the third derivative of k**6/1080 - 73*k**5/540 + 152*k**4/27 + 722*k**3/9 + 10*k**2 + 39*k - 3. Factor t(d).
(d - 38)**2*(d + 3)/9
Let t(q) be the third derivative of -209*q**2 + 0 - 104/525*q**7 + 0*q + 0*q**4 + 0*q**5 + 4/75*q**6 + 0*q**3 + 169/840*q**8. Factor t(j).
2*j**3*(13*j - 4)**2/5
Suppose 96 - 384 + 872*m + 44*m + 13*m**2 + m**2 - 240 = 0. Calculate m.
-66, 4/7
Suppose 82*s = 2 + 7 + 237. Let j(o) be the first derivative of 2/21*o**s - 2/7*o**2 - 17 - 16/7*o. Find z, given that j(z) = 0.
-2, 4
Let k be (-12 - 3000/(-252))/((-17487)/(-1944) - 9). Factor -54/7*d**4 + 6/7 + k*d**2 - 52/7*d - 108/7*d**3.
-2*(d + 3)*(3*d - 1)**3/7
Suppose 0 = u - 3*n - 34, -5*n - 661 = 5*u - 631. Suppose 0 - 2/3*s**5 - 2/3*s + 0*s**2 + 0*s**u + 4/3*s**3 = 0. Calculate s.
-1, 0, 1
Let j be (-2 - (-92)/42)/((-44)/6). Let t = 389/154 + j. Factor -15/2*c + 5 + t*c**3 + 0*c**2.
5*(c - 1)**2*(c + 2)/2
Let a(q) be the first derivative of -9/2*q + 55 - 6*q**2 - 13/6*q**3 - 1/4*q**4. Determine k so that a(k) = 0.
-3, -1/2
Suppose -6*o + 59 = -37. Let -101*r + 11*r**2 - 5*r**4 + 69*r + 5*r**2 + 4*r**3 + o + r**5 = 0. What is r?
-2, 1, 2
Let l(c) be the second derivative of -c**4/60 + c**3/30 + 65*c**2 + 5939*c. Factor l(s).
-(s - 26)*(s + 25)/5
Determine a so that -a**3 + 225 - 1755*a + 31*a**2 - 1703*a + 2*a**3 + 3713*a = 0.
-15, -1
Let b(a) = 63*a**4 - 6615*a**3 + 1855*a**2 + 19*a. Let y(n) = 7*n**4 - 734*n**3 + 206*n**2 + 2*n. Let k(u) = 6*b(u) - 57*y(u). Factor k(o).
-3*o**2*(o - 102)*(7*o - 2)
Let r(z) be the third derivative of -z**5/45 - 29*z**4/6 + 176*z**3/9 + 21*z**2. Factor r(u).
-4*(u - 1)*(u + 88)/3
Let f = -439 + 448. Let -5*v**2 + 284*v + f*v**2 - 264*v = 0. Calculate v.
-5, 0
Let r(c) = 38*c + 387. Let z be r(-10). Let y = -17 + 24. Let -2 + 4*o**2 + 0*o**4 - z*o**2 + y*o - 3*o**2 - o**3 + 2*o**4 = 0. What is o?
-2, 1/2, 1
Suppose -4870*p + 3357 - 1345 - p**2 + 6*p**2 + 3700 - 847 = 0. What is p?
1, 973
Let l(k) be the second derivative of k**3/3 - 22*k. Let b be l(4). Determine o, given that 4*o**3 + 12 + 24*o**2 - 65*o + 38*o - 4 - o - b*o**4 = 0.
-2, 1/2, 1
Let y(g) be the second derivative of g**6/90 + g**5/15 - 11*g**4/18 - 2*g**3/9 + 7*g**2/2 + 1315*g. Let y(a) = 0. Calculate a.
-7, -1, 1, 3
Let s(m) be the first derivative of -m**3/8 - 6*m**2 - 165*m/2 + 3659