 o(a) = -a**3 + 2. Let i(x) = x**2 + x - 1. Let b be i(-2). Let s(m) = b*g(m) + 5*o(m). Find u such that s(u) = 0.
-1/7, 0
Let j(g) be the first derivative of 2/3*g**3 - 42 - 8*g + 0*g**2. Factor j(u).
2*(u - 2)*(u + 2)
Let z(x) be the second derivative of 6*x - 6*x**2 - 11 + 12/5*x**5 - 3/4*x**4 + 7/10*x**6 - 8*x**3. What is y in z(y) = 0?
-2, -1, -2/7, 1
Let o = -58 + 63. Suppose 22 = 4*v + 2*i, 2*v = 7*v - o*i + 10. Solve -75*j + 73*j + 5*j**3 - 3*j**v - 12 + 12*j**2 = 0 for j.
-6, -1, 1
Suppose -w = 5*r - 137, 2*w + 4 = 4*w. Suppose r = 9*u + 9. Factor -8/5*a + 0 + 6/5*a**3 + 0*a**u + 2/5*a**4.
2*a*(a - 1)*(a + 2)**2/5
Determine u so that 988*u**2 + 172*u + 200*u + 176*u + 132 + 428*u**3 + 144*u = 0.
-1, -33/107
Let i(j) be the second derivative of 151*j - 33/2*j**4 + 3/20*j**5 - 96*j**2 + 129/2*j**3 + 0. Factor i(w).
3*(w - 64)*(w - 1)**2
Let k(a) be the first derivative of -a**6/3 + 76*a**5/25 - 47*a**4/5 + 152*a**3/15 + 3*a**2/5 - 36*a/5 - 7863. Suppose k(s) = 0. Calculate s.
-2/5, 1, 3
Let n(y) be the second derivative of 0 - 45/2*y**2 - 5/3*y**3 + 55/12*y**4 - 122*y. Factor n(w).
5*(w - 1)*(11*w + 9)
Let w(r) be the second derivative of -r**4/18 + 27*r**2 - 2*r + 326. Factor w(q).
-2*(q - 9)*(q + 9)/3
Let t(u) be the third derivative of -u**7/420 + u**6/15 - 29*u**5/120 + 7*u**4/24 + 4219*u**2. Factor t(n).
-n*(n - 14)*(n - 1)**2/2
Solve -291*d + 3 + 36*d**4 - 291 - 22*d**3 - 432*d**2 - 97*d - 276*d + 2*d**5 = 0 for d.
-18, -2, -1, 4
Let z(j) be the third derivative of j**6/150 - 3*j**5/20 + 19*j**2 + 32*j. Factor z(v).
v**2*(4*v - 45)/5
Let o(s) be the second derivative of -s**7/1260 + 11*s**4/2 + s**2 + s + 12. Let f(c) be the third derivative of o(c). Factor f(n).
-2*n**2
Find w such that 32/7*w**3 + 1/7*w**5 + 0*w + 10/7*w**4 + 32/7*w**2 + 0 = 0.
-4, -2, 0
Let d(s) = 27*s**2 - 9*s + 6. Let m(l) = -31*l**2 + 18*l - 7 - 29*l**2 - 5. Let a(o) = -9*d(o) - 4*m(o). Factor a(n).
-3*(n - 2)*(n - 1)
Suppose -18*h - 20 = 2*i - 22*h, 12 = -3*i + 3*h. What is z in 1/5*z**4 + 0 + 21/5*z**5 - 8/5*z - 58/5*z**3 + 44/5*z**i = 0?
-2, 0, 2/7, 2/3, 1
Let i be (1919/(-95) + 20)/((-3)/20). Let s(m) be the first derivative of 1/4*m**4 - 17 + i*m - 2*m**2 - 1/9*m**3. Factor s(u).
(u - 2)*(u + 2)*(3*u - 1)/3
Let u be (2/4)/(1/4). Suppose -k - 8*g + 24 = -6*g, 3*k - g - 93 = 0. Factor -5 + 45*j - 50*j**2 + k*j**u - 3 - 2.
-5*(j - 2)*(4*j - 1)
What is l in -1759*l - 224 + 92*l**3 - 4*l**5 - 3*l**2 + 16*l**4 + 1455*l - 5*l**2 = 0?
-2, -1, 2, 7
Let r be (-500)/(-85) - 8/(-68). Let w(z) = -26*z**2 - 2*z - 10. Let l(g) = 9*g**2 + 3. Let j(f) = r*w(f) + 17*l(f). Suppose j(k) = 0. Calculate k.
-3, -1
Suppose 191*n - 181*n + 10 = 0. Let p be 192/480 - ((-4)/15)/n. What is j in -2/15*j**4 + 4/15*j**3 + 4/15*j**2 - 2/15*j**5 - p - 2/15*j = 0?
-1, 1
Factor 2/17*a**2 + 1716/17 - 158/17*a.
2*(a - 66)*(a - 13)/17
Let v(h) be the first derivative of 3/5*h + h**3 - 9/5*h**2 + 84. Determine k so that v(k) = 0.
1/5, 1
Let b(m) be the second derivative of m**6/1800 - 11*m**5/200 - 7*m**4/12 - 121*m**3/6 - 221*m. Let r(o) be the second derivative of b(o). Factor r(t).
(t - 35)*(t + 2)/5
Solve 344/9*w**2 - 4/9*w**4 - 112/3*w - 340/9 + 112/3*w**3 = 0.
-1, 1, 85
Let a(t) be the first derivative of -9/8*t**2 + 7/2*t**3 - 3/4*t**4 + 7/8*t**6 - 3/2*t - 9/5*t**5 - 130. Determine i, given that a(i) = 0.
-1, -2/7, 1
Factor -54675/7 + 810/7*t - 3/7*t**2.
-3*(t - 135)**2/7
Let h = -42/1111 + 44566/3333. Find p, given that 11*p**2 - h*p + 16/3 - 10/3*p**3 + 1/3*p**4 = 0.
1, 4
Let s(a) be the third derivative of -a**7/140 - 19*a**6/180 - a**5/10 + 47*a**3/6 - 4*a**2 + 8*a. Let t(i) be the first derivative of s(i). Factor t(d).
-2*d*(d + 6)*(3*d + 1)
Let i = 33 + -25. Let r(k) be the first derivative of 20 - 34*k**3 + 18*k**3 + i*k + 22*k**3 + 20*k**2. Suppose r(t) = 0. Calculate t.
-2, -2/9
Let h(a) = 17*a + 223. Let j be h(-13). Let n(u) be the first derivative of 2/75*u**5 - 1/15*u**4 + 2/5*u + 2/15*u**j - 8/45*u**3 + 7. Solve n(g) = 0 for g.
-1, 1, 3
Let t = -111 + 140. Determine a so that 63 + 45*a - t - 5*a**2 - 34 = 0.
0, 9
Find g such that -16425*g**2 - 188*g + 214*g - 3 - 16875*g**3 + 421*g = 0.
-1, 1/75
Let w(y) = -7*y**4 - 6*y**3 - 3*y**2 - 6. Let k(g) = -8*g**4 - 6*g**3 - 2*g**2 - 7. Suppose -28 = 44*q - 40*q. Let o(i) = q*w(i) + 6*k(i). Solve o(x) = 0.
-3, 0
Let d be (-7)/(-18) - ((-13)/78 + 14 + -14). Factor 1/9*j**2 + 2/3 - d*j.
(j - 3)*(j - 2)/9
Let w be (-67)/3*(5 + -8). Let h**2 + w*h - 13*h + 5*h**2 + 3*h**2 + 51 - 6*h**2 = 0. Calculate h.
-17, -1
Let i be (-24)/40 - (-12)/(-10)*-3. What is v in -4*v**4 - 15*v + 3*v - 14*v**3 - 2*v**2 + 6*v**2 + 26*v**i = 0?
-1, 0, 1, 3
Let t(g) be the third derivative of 122825*g**6/8 + 4335*g**5 + 510*g**4 + 32*g**3 + 459*g**2. Suppose t(z) = 0. What is z?
-4/85
Factor 989/3*z - 1/3*z**2 + 330.
-(z - 990)*(z + 1)/3
Let k be 12/26 + (-38801)/106743. Let a(f) be the second derivative of 0*f**2 + k*f**3 + 0 + 18*f + 1/102*f**4. Find r such that a(r) = 0.
-5, 0
Suppose -2*v - 21 = 2*t - 9, -2*v = -t + 12. Factor -1/6*r**5 + t + 1/6*r**2 - 1/2*r**3 + 0*r + 1/2*r**4.
-r**2*(r - 1)**3/6
Let s(h) be the first derivative of -h**9/5544 + h**8/770 - 3*h**7/1540 - 13*h**3 + 42. Let p(y) be the third derivative of s(y). Factor p(r).
-6*r**3*(r - 3)*(r - 1)/11
Let m(z) be the first derivative of 6*z - 1/4*z**3 - 4 + 1/20*z**5 - 3/4*z**4 + 17/4*z**2. Suppose m(k) = 0. Calculate k.
-1, 2, 12
Let v(h) be the first derivative of h**7/441 - 2*h**6/45 + 7*h**5/30 - 238*h - 10. Let d(p) be the first derivative of v(p). Find s such that d(s) = 0.
0, 7
Suppose 38*k - 35*k = 6. Factor 208*s - s**2 - 168*s - 9*s**k - 5*s**3.
-5*s*(s - 2)*(s + 4)
Let f(t) be the third derivative of 0 - 1/20*t**4 + 3/10*t**3 - 4*t + 1/100*t**6 - 1/25*t**5 + 1/350*t**7 - 3*t**2. Factor f(u).
3*(u - 1)**2*(u + 1)*(u + 3)/5
Let i = 6/269 + 4106/8877. Let f(l) be the second derivative of 2/11*l**2 + 7/12*l**4 + i*l**3 + 0 - 23*l + 49/220*l**5. Suppose f(u) = 0. Calculate u.
-1, -2/7
Let g be 270/(-18)*(0 - (-1 - -2)). Determine l so that 8*l**3 - 12 - 5*l + g*l**2 + 45*l + 8*l**3 - 59*l**2 = 0.
3/4, 1
Suppose 152*x - 153*x = 5*l - 4, 3*x - 12 = 0. Let h(p) be the first derivative of 0*p**2 + 1/4*p**4 + l*p - 18 - 1/6*p**3. Determine t so that h(t) = 0.
0, 1/2
Let q be 8/2 + (5 - (-2 + 8)). Let -18*k**2 - 11 + 107 + 0*k**q - 3*k**3 = 0. What is k?
-4, 2
Let a(o) = 2 - 20*o - 40*o + o**2 + 55*o - 3*o**3 - 17*o**2. Let d be a(-5). Find l such that d*l + 28/9*l**3 + 2/9*l**5 + 32/9*l**2 + 4/9 + 4/3*l**4 = 0.
-2, -1
Suppose -4 + 25 = 3*l + 5*t, l + 2*t - 8 = 0. Find v, given that 49*v + 51*v**5 + 20*v**l - 29*v + 120*v**4 - 295*v**3 + 84*v**5 = 0.
-2, -2/9, 0, 1/3, 1
Let i(a) be the first derivative of -a**6/2 - 2058*a**5/5 - 479955*a**4/4 - 13379744*a**3 - 247091712*a**2 - 1652195328*a - 14922. Factor i(p).
-3*(p + 7)**2*(p + 224)**3
Find f such that 61*f**3 + 30*f**2 + 18*f**5 + 29*f**3 - 5*f**5 - 63 - 40*f + 33*f**4 - 10*f**5 - 53*f = 0.
-7, -3, -1, 1
Let n = 5248861/4082442 + -1/583206. Let -6/7*t + 3/7*t**2 - n = 0. What is t?
-1, 3
Let v be (1 - -2)/(0 + 2). Let x = 124666 + -124662. Find h, given that -3/2*h**x + v*h**5 + 3*h - 9/2*h**3 + 0 + 3/2*h**2 = 0.
-1, 0, 1, 2
Let f be 25/(-20) + 47/4. Let c(n) be the first derivative of 8 - n**3 - 18*n + f*n**2. Factor c(y).
-3*(y - 6)*(y - 1)
Let j(h) = -2*h**2 + 16*h + 3. Let w be j(7). Let i = -14 + w. Factor -2*n**4 + n**2 + 4*n**4 + n**3 - 3*n**3 + 2*n - i*n**2.
2*n*(n - 1)**2*(n + 1)
Let d(i) be the first derivative of i**3/15 + 34*i**2/5 + 2374. Factor d(t).
t*(t + 68)/5
Let h(l) = l**2. Let i(m) = 7*m**2 - 78*m - 81. Let s be 41/(-369) - (-35)/(-9). Let u(y) = s*h(y) + i(y). Factor u(p).
3*(p - 27)*(p + 1)
Let c be ((-214)/(-749))/((-6)/(-952)). Let -8/3*n + 22*n**5 + 0 - 58/3*n**3 + 136/3*n**2 - c*n**4 = 0. What is n?
-1, 0, 2/33, 1, 2
Let u(g) = -532*g**2 + 1207*g + 1212. Let d(s) = -188*s**2 + 402*s + 404. Let p(j) = -17*d(j) + 6*u(j). Let p(x) = 0. Calculate x.
-101, -1
Let s be 18/12 + -21 + 893/38. What is p in 0*p - 2/9*p**3 - 4/9*p**s + 2/9*p**5 + 4/9*p**2 + 0 = 0?
-1, 0, 1, 2
Let u be ((-108)/(-18))/(24/188). Let p be u/(-94)*(-7 + 1). Let 2/11*y**p - 12/11*y**2 + 16/11 - 8/11*y + 2/11*y**4 = 0. Calculate y.
-2, 1, 