*(d - 2)**2/7
Let q = 15 - 12. Factor 17*k**q + 8*k - k**5 + 11*k**4 - 47*k**2 + 2*k**5 + 72*k**2 + 10*k**3.
k*(k + 1)**3*(k + 8)
Let m be (1/(-4)*-15)/(1692/470). Let i(c) be the third derivative of 1/12*c**5 + m*c**4 + 4*c**2 + 10/3*c**3 + 0*c + 0. Find o such that i(o) = 0.
-4, -1
Suppose -8 = 2*a + a - x, 3*a + 5*x - 4 = 0. Let k be 1 + a/(-6)*(-11)/11. Find y, given that 14/3*y + 0 - k*y**2 = 0.
0, 7
Determine t, given that 5*t + 9*t - 130 + 2*t - 165*t**2 + 167*t**2 = 0.
-13, 5
Let v(y) be the third derivative of 0*y + 11/10*y**5 + 1/40*y**6 - 256*y**2 + 52*y**3 - 25/2*y**4 + 0. Solve v(n) = 0 for n.
-26, 2
Let j(a) = -2*a + 45. Let i be j(19). Find t such that 20 - 11 - 43*t - i*t**2 + 1 - 2*t**2 = 0.
-5, 2/9
Find u, given that -3*u - 14*u**2 + u - 33*u**3 + 12 - 37*u**3 + 72*u**3 + 2*u**4 = 0.
-3, -1, 1, 2
Let r(i) = 9*i - 43. Let q be r(5). Factor 5*a**3 - 18*a - 7*a**q + 27*a**2 - 7*a.
5*a*(a - 1)*(a + 5)
Let d = -32 - -20. Let p be (d/(-4 + 0))/1. Factor -3*b**p + 4*b**2 - 3*b**3 + 8*b**3.
2*b**2*(b + 2)
Let o(k) be the second derivative of -k**5/10 - k**4/3 + 11*k**3/3 + 12*k**2 + 49*k. Factor o(x).
-2*(x - 3)*(x + 1)*(x + 4)
Let y(x) = 9*x**3 + 9*x**2 - 6. Let q(z) = -z - 2957*z**3 + 9*z**2 + 2964*z**3 - 9 + 2. Let t(v) = 3*q(v) - 2*y(v). Suppose t(r) = 0. Calculate r.
-3, -1, 1
Let a(w) be the third derivative of -w**5/150 + 161*w**4/5 - 311052*w**3/5 + 30*w**2 - 24. Factor a(b).
-2*(b - 966)**2/5
Let k(m) = m**3 - m**2 + 6*m. Let i(g) = 15*g**2 + 23*g - 44. Let a(h) = -i(h) - k(h). Factor a(s).
-(s - 1)*(s + 4)*(s + 11)
Let t be (-472)/(-7)*168/48. Find p, given that -240*p**3 - 2*p**2 - 6*p**2 + t*p**3 = 0.
-2, 0
Let w(p) be the second derivative of p**5/60 + 17*p**4/18 + 25*p**3/2 + 3601*p. Factor w(h).
h*(h + 9)*(h + 25)/3
Let r = -95/651 - -6/31. Let v(n) be the second derivative of r*n**3 + 2/7*n**2 - 1/70*n**5 + 0 - 10*n - 1/14*n**4 + 1/105*n**6. Factor v(z).
2*(z - 2)*(z - 1)*(z + 1)**2/7
Let 2/5*v**5 + 2*v**4 + 0 + 784/5*v - 658/5*v**2 - 138/5*v**3 = 0. What is v?
-7, 0, 1, 8
Let i = -876288 - -6148168/7. Let v = i - 68114/35. Factor -12*g**3 - v*g**2 + 1029/5 - 588/5*g - 3/5*g**4.
-3*(g - 1)*(g + 7)**3/5
Let l be (-2)/5 + (-3)/15*-27. Suppose 0 = l*s - 5*v + 10, -4*s = -5*v - 0 + 13. Determine t so that -t + 320*t**2 - 5*t + s - 317*t**2 = 0.
1
Let q = -30 - 11. Let p = -34 - q. Solve 1 + 2 + 6*g - 2*g**2 - p = 0 for g.
1, 2
Let d(s) = -2959*s - 369872. Let u be d(-125). Factor 0 + 16/5*x**2 - 4/5*x**4 + 16/5*x - 4/5*x**u.
-4*x*(x - 2)*(x + 1)*(x + 2)/5
Let f = -564 - -596. Suppose 10*q - f*q = -66. Factor -16/7 + 40/7*b + 3/7*b**q + 23/7*b**2.
(b + 4)**2*(3*b - 1)/7
Let z(o) be the third derivative of -o**7/630 - 119*o**6/180 - 118*o**5/45 + 8*o**2 - 5. Factor z(r).
-r**2*(r + 2)*(r + 236)/3
Suppose 1106*p + 893*p = 497*p + 3004. Solve -2523*q**p - 4/3 + 116*q = 0 for q.
2/87
Let h(n) be the third derivative of -2 - 9*n**2 + 7/180*n**5 + 0*n - 1/9*n**3 - 5/72*n**4. Factor h(c).
(c - 1)*(7*c + 2)/3
Suppose -5*m + 7 = p, -16*m - 16 = -18*m + 4*p. Let k(o) be the second derivative of 2/7*o**3 - o**m + 1/42*o**4 + 0 + 26*o. Factor k(d).
2*(d - 1)*(d + 7)/7
Let b(f) be the first derivative of f**4/24 + 5*f**3/3 - 21*f**2/4 - 40*f + 105. Let r(a) be the first derivative of b(a). Determine l so that r(l) = 0.
-21, 1
Solve -9/2 - 19/2*y - 11/2*y**2 - 1/2*y**3 = 0.
-9, -1
Let l be (1422120/(-17556) - -81)*-19. Determine x, given that -l*x**2 + 23/11 - 2*x = 0.
-23, 1
Factor -2/7*p**3 - 2/7*p**2 + 48/7 + 4*p.
-2*(p - 4)*(p + 2)*(p + 3)/7
Let b be 474/7 + 4/14. Factor -1 + 15 - 16*o**4 + 7*o**5 + 10 - 3*o**5 + 56*o**2 - b*o.
4*(o - 3)*(o - 1)**3*(o + 2)
Factor -72/5*n**2 - 8/5*n**4 + 0*n - 12*n**3 + 0.
-4*n**2*(n + 6)*(2*n + 3)/5
Let n = -161230 - -161230. Factor 0*q + 3/2*q**5 - 6*q**4 + 0*q**2 - 15/2*q**3 + n.
3*q**3*(q - 5)*(q + 1)/2
Suppose -91*f + 1111 = -345. Let m(j) be the first derivative of 4/13*j - 2/39*j**3 - 1/13*j**2 - f. Factor m(c).
-2*(c - 1)*(c + 2)/13
Let h(l) be the second derivative of 0 - 5*l + 1/100*l**5 - 4/5*l**2 - 7/60*l**4 + 7/15*l**3. Factor h(x).
(x - 4)*(x - 2)*(x - 1)/5
Factor 52/9*v + 32 + 2/9*v**2.
2*(v + 8)*(v + 18)/9
Let z(h) be the third derivative of h**6/180 + 41*h**5/45 - 713*h**4/36 + 70*h**3 - 3*h**2 + 3*h + 212. Determine c, given that z(c) = 0.
-90, 1, 7
Let y(u) be the first derivative of 5*u**6/18 - 32*u**5/5 - 31*u**4/2 - 64*u**3/9 + 7*u**2/2 + 4380. Let y(r) = 0. Calculate r.
-1, 0, 1/5, 21
Let s(t) be the first derivative of 23/8*t**4 - 9/2*t**2 + 3/2*t**3 + 68 + 0*t - 2/5*t**5. Factor s(i).
-i*(i - 6)*(i + 1)*(4*i - 3)/2
Let v be 0/2*(4 + (-42)/10). Suppose v = -35*h - 54*h + 267. Factor 11/2*z**h + 3 + 13*z + 3/4*z**4 + 55/4*z**2.
(z + 2)**2*(z + 3)*(3*z + 1)/4
Let w(g) = 19*g + 7. Let i(c) = 95*c + 38. Let v(n) = -4*i(n) + 19*w(n). Let x be v(-1). Solve 4/5*u**3 + 12/5*u**2 + x + 0*u = 0.
-3, 0
Suppose 0 = 38*q - 40*q + t + 14, -24 = -4*q + 4*t. Let f be (-20)/8 + (-12)/q - -9. Factor 2 + 9/2*h**2 + 1/4*h**4 + 7/4*h**3 + f*h.
(h + 1)*(h + 2)**3/4
Let n = -297 + 301. Suppose 0*j**3 + 0*j**3 - 209*j**4 + 213*j**n = 0. Calculate j.
0
Factor 5*j**5 - 10*j + 15*j**2 - 1373*j**4 + 1358*j**4 + 490*j**3 - 485*j**3.
5*j*(j - 2)*(j - 1)**2*(j + 1)
Let f(u) be the third derivative of 9*u**8/112 + 253*u**7/35 + 1619*u**6/8 + 13757*u**5/10 + 5993*u**4/2 + 2028*u**3 - 4040*u**2. Let f(a) = 0. Calculate a.
-26, -3, -1, -2/9
Suppose -5*l - 2*j + 18 + 28 = 0, l - 5 = j. Suppose 2*x**2 - 10*x**2 - 28 - 76*x - l = 0. What is x?
-9, -1/2
Let t = -33 - -43. Suppose -12*i = -t*i - 8. Factor -4*k**3 + 6*k**i + 3*k**4 - 2*k**5 - 2*k**4 + 0*k**3 - 4*k**2.
-k**2*(k - 2)**2*(2*k + 1)
Let s(j) be the second derivative of -j**5/80 - 5*j**4/24 + 7*j**3/24 + 49*j**2/2 - 2*j - 558. Factor s(g).
-(g - 4)*(g + 7)**2/4
Let r(f) be the second derivative of f**7/63 + 511*f**6/45 + 32512*f**5/15 - 32768*f**4/9 - 4472*f. Factor r(b).
2*b**2*(b - 1)*(b + 256)**2/3
Let w(h) = -4*h**3 + 55*h**2 - 103*h - 3. Let v(z) = -4*z**3 + 56*z**2 - 104*z + 8. Let k(g) = 5*v(g) - 4*w(g). What is d in k(d) = 0?
1, 13
Let d(l) = 232*l**3 - 806*l**2 - 546*l + 66. Let x(h) = -2087*h**3 + 7255*h**2 + 4915*h - 595. Let j(v) = 38*d(v) + 4*x(v). Factor j(a).
4*(a - 4)*(3*a + 2)*(39*a - 4)
Let o(s) = -10*s**4 - 13*s**3 - 48*s**2 - 36*s. Let x(p) = 7*p**4 + 13*p**3 + 48*p**2 + 36*p. Let r(w) = -4*o(w) - 6*x(w). Factor r(u).
-2*u*(u + 1)*(u + 6)**2
Let g(s) = -s**2 + 15*s - 24. Let d be g(13). Factor 10 + 45*f + 3*f**d - 27*f + 14.
3*(f + 2)*(f + 4)
Factor 477*a + a**3 + 450*a - 1813*a - 36*a**2 + 457*a + 528*a.
a*(a - 33)*(a - 3)
Let j = 523649/9 - 58183. Let j*z**4 + 16/3*z**2 - 50/9 - 20/9*z**3 + 20/9*z = 0. Calculate z.
-1, 1, 5
Let k(b) be the second derivative of -b**4/114 - 122*b**3/57 - 3721*b**2/19 - 434*b - 1. Find n, given that k(n) = 0.
-61
Find g such that 50/11*g**2 - 512/11 + 464/11*g - 2/11*g**3 = 0.
-8, 1, 32
Let r(t) be the second derivative of -t**4/6 - 5*t**3/3 + 36*t**2 + 251*t. Let r(i) = 0. What is i?
-9, 4
Let x be -2*(7 - (1 - (3 - 10))). Let s(c) be the first derivative of -15 + 36*c + 12*c**x + 4/3*c**3. Solve s(g) = 0 for g.
-3
Let o(v) be the third derivative of v**5/45 - 17*v**4/2 + 304*v**3/9 - 13*v**2 - 19*v. What is p in o(p) = 0?
1, 152
Factor -7*p - 11/7*p**3 + 1/7*p**4 + 39/7*p**2 + 20/7.
(p - 5)*(p - 4)*(p - 1)**2/7
Let r(x) = -3*x**2 + 15*x - 10. Let z be r(4). Suppose -6*i**2 + 4*i**2 + i - 2*i**z - i**3 + 4 = 0. Calculate i.
-4, -1, 1
Find f such that 1215/4*f**4 + 110073/2*f**2 - 27144*f - 20184 - 32049/4*f**3 = 0.
-2/5, 1, 116/9
Let g be 4110 - (-7)/((-14)/(-12)). Suppose -55*y**2 - 4 - 4131*y**4 + 5*y + 14 + 55*y**3 + g*y**4 = 0. Calculate y.
-1/3, 1, 2
Factor -88/13*k**2 + 0 + 0*k + 2/13*k**3.
2*k**2*(k - 44)/13
Let v be (16/(-8))/((-25)/(-10))*80/(-96). Suppose 64*d + v + 65536/3*d**3 + 2048*d**2 = 0. Calculate d.
-1/32
Let v(s) be the second derivative of -s**5/70 + 37*s**4/42 + 27*s**3/7 - 117*s**2/7 + 2051*s. Factor v(z).
-2*(z - 39)*(z - 1)*(z + 3)/7
Let f be 27*-1 - (-507 + 477). Factor -4/13*x**f - 10/13*x**2 + 2/13*x**4 + 12/13*x + 0.
2*x*(x - 3)*(x - 1)*(x + 2)/13
Let y(o) be the first derivative of 187 - 1/8*o**3 + 27/4*o**2 - 243/2*o. Let y(k) = 0. What is k?
18
Suppose 0 = -20*f + 41