8*i**2 + 8*i + 7*i - 8*i + 16*i**3 + 7*i - u.
2*(i - 1)*(2*i - 1)*(4*i - 1)
Let j = 15179 - 15179. Let i(c) be the second derivative of -2/9*c**3 + 1/18*c**4 + j - 5*c + 0*c**2. Factor i(g).
2*g*(g - 2)/3
Let i(y) = 24*y + 204. Let m be i(-6). Find u such that 139*u**3 + 4 + 30*u + 63*u**2 + m*u**4 + 130*u**3 - 169*u**3 + 17*u**2 + 14*u**5 = 0.
-1, -2/7
Determine d so that -175/2*d + 1/8*d**3 + 500 + 5/2*d**2 = 0.
-40, 10
Let c(d) be the first derivative of -4*d**3/3 + 15*d**2 + 2657. Let c(s) = 0. What is s?
0, 15/2
Let f(s) be the third derivative of -19*s**6/40 - 447*s**5/5 - 42159*s**4/8 - 2209*s**3 + 369*s**2 - s - 2. Let f(k) = 0. Calculate k.
-47, -2/19
Suppose 2 = 5*a - 38. Suppose -10 = -a*h + 3*h. Let -11*n + 17*n - 8*n + n**2 + n**h = 0. Calculate n.
0, 1
Let c = -947639/5 + 189547. Factor c - 4/5*o**2 - 4*o.
-4*(o - 3)*(o + 8)/5
Suppose 27 = -2*z - 3*k, -2*z - 4*k - 37 = k. Let l be (10/z)/((-370)/148). Factor -4/3 - 2*s - l*s**2.
-2*(s + 1)*(s + 2)/3
Let g(r) be the third derivative of r**6/160 + r**5/2 + 53*r**4/8 + 34*r**3 - 2357*r**2. Determine a, given that g(a) = 0.
-34, -4, -2
Let q(j) = 15*j + 48*j**2 + 21*j**2 + 5*j**3 + 31*j**2. Let r(z) = z**3 + 25*z**2 + 4*z. Let y(f) = -4*q(f) + 15*r(f). Factor y(o).
-5*o**2*(o + 5)
Let o = -63 - -57. Let d(q) = q**4 + q**3 - q**2 - q. Let n(w) = -3*w**3 - 5*w**2 + w**2 - 4*w**4 + 3*w**4 - 2*w. Let v(p) = o*d(p) + 3*n(p). Factor v(y).
-3*y**2*(y + 1)*(3*y + 2)
Let a(y) be the third derivative of 33*y**2 + 71/90*y**5 - 1/36*y**6 + 0*y + 0 - 259/36*y**4 + 49/9*y**3. Factor a(i).
-2*(i - 7)**2*(5*i - 1)/3
Let t(a) be the third derivative of -a**6/45 + 13*a**5/30 + 53*a**4/18 + 8*a**3/3 + 2*a**2 + 402*a. Solve t(p) = 0.
-2, -1/4, 12
Let l(i) = -4756*i - 61762. Let u be l(-13). Factor 459/4*w**2 + 243/4*w**3 + 12 + u*w.
3*(w + 1)*(9*w + 4)**2/4
Let s(o) = -9*o + 73. Let j be s(9). Let x be ((-18)/(-18))/((-28)/j). Solve -6/7*w - x*w**2 - 4/7 = 0 for w.
-2, -1
Let q(w) be the second derivative of w**8/560 - w**6/120 + 2*w**3 - w**2 - 6*w + 1. Let s(x) be the second derivative of q(x). Factor s(z).
3*z**2*(z - 1)*(z + 1)
Let o(q) = q**2 + 201*q + 8543. Let p be o(-61). Let 6/11*l**p + 0 - 2/11*l**2 - 2/11*l**5 + 2/11*l**4 - 4/11*l = 0. Calculate l.
-1, 0, 1, 2
Factor 531*m - 125521 - 87000 - m**2 + 262*m + 184*m - 55*m.
-(m - 461)**2
Let r = -44001 + 44001. Let 1/6*a**3 - 2/3*a**2 + 1/6*a**4 - 2/3*a + r = 0. Calculate a.
-2, -1, 0, 2
Suppose l + 4*q + 2 = 3, -4*l = 5*q + 29. Let x = -9 - l. Factor 3*i**3 + 4*i**x - 16*i - i**3 - 16 + 2*i**3.
4*(i - 2)*(i + 1)*(i + 2)
Suppose -120 = 15*g - 20*g. Let y be 8/(g/11) - (-2)/(-3). Factor -5 + 16*v**3 + 20*v**3 + 10*v + 5*v**4 - 46*v**y.
5*(v - 1)**3*(v + 1)
Let v(i) = -i**3 - i**2 - 2*i + 1. Let d(t) = 6*t**3 - 23*t**2 + 416*t - 200. Let x(j) = -5*d(j) - 40*v(j). Factor x(s).
5*(s - 8)*(s + 24)*(2*s - 1)
Let o(a) = -2*a**5 - a**4 - a**3 + a**2 - 2*a + 1. Let z(v) = 26*v**5 + 38*v**4 - 30*v**3 - 182*v**2 - 70*v - 14. Let i(u) = -28*o(u) - 2*z(u). Factor i(n).
4*n*(n - 7)**2*(n + 1)**2
Let u be (-2 - 8/(-4)) + 5. Let n(w) = w**3 - 4*w**2 - 5*w + 3. Let o be n(u). What is x in -44*x**3 - x**o + 7*x + 5*x - 6*x**4 + 15*x**5 - 12*x**2 = 0?
-1, 0, 2/5, 2
Let g = -143 + 143. Suppose g = 6*x - 25*x + 38. Factor 4/3*m**x + 2/3*m**5 - 2*m**4 + 2/3 - 2*m + 4/3*m**3.
2*(m - 1)**4*(m + 1)/3
Let a be (-18)/(-90) + (-556)/(-20). Let u be 48/(-12)*((-124)/a - -3). Suppose -u*r**2 + 0 + 16/7*r + 12/7*r**3 + 18/7*r**4 = 0. What is r?
-2, 0, 2/3
What is m in -1/2*m**2 + 233 + 231/2*m = 0?
-2, 233
Suppose -3*j - 30 = 15. Let f be (-2)/6*(9 + j). Suppose 6*a**f + 8*a**3 - 24 + a**3 - 40*a - 20*a + 6*a**3 = 0. Calculate a.
-2, -2/5, 2
Let d(f) be the second derivative of -f**6/30 + 631*f**5/20 + 634*f**4/3 + 1270*f**3/3 - 5897*f. Factor d(n).
-n*(n - 635)*(n + 2)**2
Let r be (-18)/(-27) - (4575/(-9) + -2). Factor -6*a**3 - 511 + r - 4*a**3 + 8*a**4 + 4*a**2 - 2*a**5.
-2*a**2*(a - 2)*(a - 1)**2
Let h(q) be the third derivative of q**5/150 - 3*q**4/5 + 108*q**3/5 + 3462*q**2. Find l, given that h(l) = 0.
18
Let u = 46267 + -46263. Suppose -16/9*o**3 + 32/9 + 40/9*o + 4/9*o**u - 4/3*o**2 = 0. Calculate o.
-1, 2, 4
Let f(r) be the first derivative of 4*r**5/25 + 22*r**4/5 + 112*r**3/3 + 436*r**2/5 + 396*r/5 - 443. Find j such that f(j) = 0.
-11, -9, -1
Let c be -1*1/3*168/(-1260). Let b(l) be the first derivative of 8/15*l + 3 - c*l**3 + 0*l**2. Suppose b(i) = 0. Calculate i.
-2, 2
Factor 44/15*u**3 + 432/5*u - 2/15*u**4 - 576/5 - 24*u**2.
-2*(u - 6)**3*(u - 4)/15
Let y(z) = -z**2 - z + 4. Let w(o) = -20*o**2 - 802*o + 72. Let v(g) = 2*w(g) - 36*y(g). Find j, given that v(j) = 0.
-392, 0
Let m(h) = h**3 + 7*h**2 + 4. Let r be m(-6). Suppose 0 = -4*y - y + r. Let -y*s**5 + 2*s**3 + 12*s**5 - 6*s**5 = 0. Calculate s.
-1, 0, 1
Let f(g) be the first derivative of -g**7/420 - g**6/20 - g**5/3 + 5*g**3/3 + 7*g + 175. Let d(a) be the third derivative of f(a). What is b in d(b) = 0?
-5, -4, 0
Let o(z) be the first derivative of 287*z**3/6 - 38*z**2 + 10*z + 5616. Let o(a) = 0. What is a?
10/41, 2/7
Determine t, given that -2/7*t**3 + 66/7*t**2 + 0 - 124/7*t = 0.
0, 2, 31
Let z(y) be the third derivative of -1/180*y**5 - 13/18*y**3 - 7/36*y**4 + y**2 + 42*y + 0. Solve z(p) = 0 for p.
-13, -1
Let g(z) be the second derivative of -z**5/50 - 9*z**4/10 - 56*z**3/5 + 196*z**2/5 - z - 47. Factor g(i).
-2*(i - 1)*(i + 14)**2/5
Let f(h) be the first derivative of -h**4/10 - 74*h**3/15 - 104*h**2/5 - 136*h/5 - 1644. Factor f(u).
-2*(u + 1)*(u + 2)*(u + 34)/5
Let s(x) be the third derivative of 16/105*x**7 - 6*x**3 + 1/30*x**5 - 13/4*x**4 + 2/3*x**6 - 6 + 0*x - 3*x**2. Factor s(o).
2*(o - 1)*(o + 2)*(4*o + 3)**2
Suppose 27 = 355*p - 364*p. Let k be (p + (1 - -8))/2*1. Let -1/2 + 1/8*v**k - 5/8*v**2 + v = 0. What is v?
1, 2
Let c(t) be the first derivative of -4*t**3/27 + 1088*t**2/3 - 295936*t - 1091. Solve c(x) = 0 for x.
816
Let v be (-54)/9 + (-672)/(-70). Let h(m) = 14*m**3 + m**2 + 3*m - 3. Let c be h(1). Factor -c - 3/5*w**4 - v*w**2 - 24/5*w**3 + 24*w.
-3*(w - 1)**2*(w + 5)**2/5
Let f(s) = 2*s. Let r be (-9)/((-225)/40) + (-4)/(-10). Let h be f(r). Factor -y - h*y - 10 - 10*y**2 - 20*y.
-5*(y + 2)*(2*y + 1)
Let l(o) be the second derivative of -o**5/20 - 7*o**4/8 - 3*o**3 - 56*o**2 + 2*o + 2. Let x(p) be the first derivative of l(p). Factor x(u).
-3*(u + 1)*(u + 6)
Let h be 4592/49 - 2/(-7). Suppose -m**4 + m**2 + h*m**3 - 12*m**2 + m**5 - 4*m + 0*m**5 - 103*m**3 = 0. Calculate m.
-1, 0, 4
Let f(b) = 25*b - 212. Let n(q) = 25*q - 210. Let l(x) = 4*f(x) - 5*n(x). Let z be l(8). Factor -2/3*c**5 - z*c**3 + 0 + 0*c + 2/3*c**2 + 2*c**4.
-2*c**2*(c - 1)**3/3
Determine m, given that 14*m**3 + 15*m**2 - 1/4*m**5 - 5/4*m**4 + 0 + 0*m = 0.
-10, -1, 0, 6
Let i(r) = -r**3 + 3*r**2 + 9*r + 22. Let q be i(7). Let l = -111 - q. What is j in 7*j + 4*j**4 - 2*j**2 + 4*j**5 - 11*j**3 + l*j**2 - 2 + 0*j**5 = 0?
-2, -1, 1/2, 1
Let d(j) be the second derivative of j**4/4 - 82*j**3 - 498*j**2 + 254*j + 3. Let d(n) = 0. Calculate n.
-2, 166
Let b(g) be the third derivative of g**7/210 + g**6/15 - 31*g**5/60 + 11*g**4/12 + 2740*g**2. Factor b(i).
i*(i - 2)*(i - 1)*(i + 11)
Let j(r) be the third derivative of 1/126*r**5 - 70*r**2 - 2/63*r**3 - 1/28*r**4 + 0 + 0*r. Suppose j(x) = 0. Calculate x.
-1/5, 2
Suppose -5*y - 2*g = -205 - 415, -3*g = y - 124. What is r in 65*r**2 + 21*r + 56*r**2 - y*r**2 - 30 = 0?
2, 5
Suppose -1382*x + 1610*x - 27*x**2 + 24*x**2 = 0. What is x?
0, 76
Let s(h) be the third derivative of -4/45*h**5 + 0 + 1/120*h**6 + 139*h**2 + 1/630*h**7 + 1/6*h**4 + 0*h + 0*h**3. Suppose s(u) = 0. What is u?
-6, 0, 1, 2
Let a(y) be the third derivative of -y**8/168 - 919*y**7/735 - 7454*y**6/105 + 11948*y**5/105 + 836*y**4 + 5808*y**3/7 + 316*y**2. Solve a(v) = 0 for v.
-66, -1, -2/7, 2
Let p be 273/56 - (-14 - (-444)/32). Let u(o) be the second derivative of 21*o + 1/3*o**3 + o**2 + 0 - 1/10*o**p - 1/6*o**4. Let u(f) = 0. Calculate f.
-1, 1
Let i(m) be the third derivative of -m**8/1008 - m**7/630 + m**6/72 - m**5/60 + 4247*m**2. Let i(k) = 0. Calculate k.
-3, 0, 1
Let s be ((-266)/114)/(63/(-1242)). Let h(j) be the second derivative of 1/30*j**5 + 0 + 0*j**3 + 1/6*j**4 - 4/3*j**2 - s*j. Suppo