z**x - 2/9*z**3 + 0 + 14/9*z.
-2*z*(z - 7)*(z + 1)/9
Suppose 7*j = -7463 + 7463. Let a(g) be the second derivative of -2/11*g**2 + j - 1/165*g**6 - 3/22*g**4 - 1/22*g**5 - 7/33*g**3 - 13*g. Factor a(c).
-2*(c + 1)**3*(c + 2)/11
Let n(i) = -i**3 + 22*i**2 + 3*i - 64. Let f be n(22). Let s = 1710 - 1706. Factor -14/3*m**3 + 0 + 0*m + 2/3*m**4 + s*m**f.
2*m**2*(m - 6)*(m - 1)/3
Let g be (-147)/(-210) + 5/50. Factor -g - 8/5*d**2 + 18/5*d.
-2*(d - 2)*(4*d - 1)/5
Let f(n) be the first derivative of -n**3/4 - 53*n**2/8 - 47*n/2 - 7807. Factor f(o).
-(o + 2)*(3*o + 47)/4
Suppose -44/7*x**3 - 52/7 + 6/7*x**5 - 74/7*x - 76/7*x**4 + 240/7*x**2 = 0. Calculate x.
-2, -1/3, 1, 13
Let j be ((-1)/((-2)/(-34)))/(370/(-180) - (-1)/(-9)). Let 8*h**2 + 0 - j*h**3 - 24/13*h + 6/13*h**5 + 16/13*h**4 = 0. Calculate h.
-6, 0, 1/3, 1, 2
Let s(d) be the third derivative of 0 + 11*d + 0*d**6 + 1/245*d**7 + 0*d**3 + 4*d**2 - 1/210*d**5 + 0*d**4 + 1/588*d**8. Find g such that s(g) = 0.
-1, 0, 1/2
Let y(z) be the second derivative of 8*z**4/33 - 549*z**3/11 - 103*z**2/11 + z + 8206. Factor y(m).
2*(m - 103)*(16*m + 1)/11
Suppose 0*l + 2*l = 5*z + 118, 2*z - 104 = -2*l. Factor -1521*n**2 + 117*n**3 - l*n**4 + 51*n**4 + 4913*n + 1678*n.
-3*n*(n - 13)**3
Suppose 0 = 14*x - 520 + 258 + 234. Let s(j) be the first derivative of -1/2*j**x + 1/15*j**3 + 0*j - 17. Factor s(o).
o*(o - 5)/5
Suppose 0 = 37*x + 77 - 3. Let h be x - 2 - 132/(-30). Factor 4/5*u**3 - 2/5*u**2 + 0 - h*u**4 + 0*u.
-2*u**2*(u - 1)**2/5
Suppose 4*g + 5*b = -37, g = b - 3*b - 10. Let f be (g/(-14))/((-720)/(-4536)). Let -18/5*w - 14/5*w**4 + 4/5 + f*w**3 + 2*w**2 = 0. What is w?
-1, 2/7, 1
Let l be ((-165)/(-4) + -1)*42828/1245. Let i = -1384 + l. Solve 2/5 - i*a**2 + a = 0.
-1/3, 2
Solve 138/7*m + 0 + 2/7*m**2 = 0 for m.
-69, 0
Let u(b) = -11*b**3 + 131*b**2 - 558*b - 3240. Let q(n) = -39*n**3 + 456*n**2 - 1953*n - 11340. Let k(a) = -5*q(a) + 18*u(a). Find x, given that k(x) = 0.
-3, 9, 20
Let m(y) be the third derivative of y**8/294 - 40*y**7/147 + 457*y**6/84 + 1111*y**5/42 - 130*y**4/7 - 2028*y**3/7 - 4258*y**2. Let m(i) = 0. Calculate i.
-3/2, 1, 26
Let p(b) be the third derivative of 0*b - 1/2*b**5 + 1/660*b**6 + 275/4*b**4 - 15125/3*b**3 - 209*b**2 + 0. Let p(l) = 0. Calculate l.
55
Suppose -3*p - 9 = -2*k, -3*p + 6 = 3*k - 0*p. Suppose -c + 208 = k*c. Factor 36*u + 4*u**2 - 29*u + 324 + c*u + 13*u.
4*(u + 9)**2
Suppose -703 = -4*d - 5*b - 2578, d = -4*b - 477. Let h be 31/d + (-1)/(-5). Factor 0*n**2 - 2/5*n**4 + h*n**5 + 4/15*n**3 + 0 + 0*n.
2*n**3*(n - 2)*(n - 1)/15
Factor 717*l + 751*l + 4*l**3 - 9*l**3 - 90 + 768*l - 2191*l + 10*l**2.
-5*(l - 3)*(l - 2)*(l + 3)
Let h(r) be the first derivative of -5*r**6/4 - 18*r**5/5 + 93*r**4/8 - 3*r**3 - 6*r**2 + 814. Suppose h(i) = 0. What is i?
-4, -2/5, 0, 1
Determine b so that 44/5*b**4 - 272/5*b**2 + 6/5*b**5 + 14/5*b**3 - 88*b - 192/5 = 0.
-6, -2, -1, 8/3
Let -417698/5*w - 2/5*w**3 - 1828/5*w**2 + 0 = 0. What is w?
-457, 0
Determine d so that 10*d**5 - 1136*d + 2*d**5 + 2423 - 4516*d**3 + 2419 + 3968*d**2 + 1672*d**4 - 4842 = 0.
-142, 0, 2/3, 1
Let a(i) be the first derivative of i**3 - 2895*i**2/2 - 2898*i - 4797. Determine f so that a(f) = 0.
-1, 966
Let o(g) = 8*g**2 + 31*g - 10. Let k be o(-7). Determine y so that 159*y + y**2 + 0*y**2 - k*y = 0.
0, 6
Let k(z) = 43*z + 80 + 12 - 25*z. Let w be k(-5). Solve -9 - 1/4*d**w - 3*d = 0.
-6
Let a(k) = 54*k**3 - 354*k**2 - 51*k + 33. Let q(w) = 9*w**3 - 71*w**2 - 10*w + 6. Let m(o) = 2*a(o) - 11*q(o). Factor m(p).
p*(p + 8)*(9*p + 1)
Suppose -3*u + 164 = -5*j, -3*j = -u - 0*j + 60. Let f = 50 - u. Factor -p**2 + 7*p + 2*p**4 - 21*p + 1 + 14*p**3 - 13 + 11*p**f.
2*(p - 1)*(p + 1)**2*(p + 6)
Factor 1/9*u**2 + 280/3 - 127/9*u.
(u - 120)*(u - 7)/9
Determine q so that 49*q**2 - 62048*q**3 + 49*q - 6*q**4 + 36 + 77*q + q**2 + 62034*q**3 = 0.
-3, -2, -1/3, 3
Let i(l) be the second derivative of l**6/840 - l**5/20 - 4*l**4/7 + 19*l**3/6 - l**2/2 - 79*l + 2. Let j(k) be the second derivative of i(k). Factor j(q).
3*(q - 16)*(q + 2)/7
Let z(f) be the second derivative of f**5/150 + f**4/5 + 32*f**3/15 + 32*f**2/3 - 30*f - 28. Let z(p) = 0. What is p?
-10, -4
Let h(g) be the first derivative of 9/10*g**2 + 1/15*g**3 - 2*g - 12. Find x such that h(x) = 0.
-10, 1
Let x(v) = 12*v**3 + 4313*v**2 - 35*v + 14. Let l(t) = -8*t**3 - 2875*t**2 + 25*t - 10. Let n(o) = -7*l(o) - 5*x(o). Factor n(i).
-4*i**2*(i + 360)
Let -28*f - 31*f**3 + f**4 + 7*f**4 - 22*f**3 + f**3 + 4*f**4 + 68*f**2 = 0. Calculate f.
0, 1, 7/3
What is o in 0*o**2 + 1/10*o**4 + 0 + 0*o + 7/10*o**3 = 0?
-7, 0
Let o be 1/(-73) - (-208525)/34675. Determine i so that 3/2*i**4 + 15/2*i**3 - o + 9/2*i**2 - 15/2*i = 0.
-4, -1, 1
Let t(l) be the first derivative of -l**4/36 - 5*l**3/27 + 44*l**2/9 - 208*l/9 + 290. Factor t(y).
-(y - 4)**2*(y + 13)/9
Let p be -3 + (72/16*(-4)/12 - -33 - -3). Factor 81/2 - p*b + 3*b**2.
3*(b - 9)*(2*b - 3)/2
Let z(y) be the second derivative of -y**7/56 - 17*y**6/10 + 423*y**5/40 - 107*y**4/4 + 287*y**3/8 - 27*y**2 - 2*y - 92. Factor z(o).
-3*(o - 1)**4*(o + 72)/4
Let d(i) be the first derivative of -i**3 + 102*i**2 - 396*i - 171. Solve d(s) = 0 for s.
2, 66
Let a(q) be the third derivative of -1/10*q**7 - 3/5*q**5 + 0*q + 0 + 0*q**3 + 11/10*q**6 + 0*q**4 + 159*q**2. Find i, given that a(i) = 0.
0, 2/7, 6
Suppose -24*u + 106 - 10 = 0. Suppose -u - 20 = -12*x. Solve -5/2*d + 1 - 7/2*d**x = 0.
-1, 2/7
Let j(d) = 7*d**2 + 11*d + 16. Let y(c) = c**2 + 19*c - 68. Let n be y(-23). Let v(f) = f**2 + 2. Let w(t) = n*v(t) - 3*j(t). Factor w(i).
3*i*(i - 11)
Let d = 34/4121 + 25326/4121. Factor 2/13*b**2 + 800/13 + d*b.
2*(b + 20)**2/13
Factor -284*c**3 - 45*c**2 - 287*c**4 - 3*c**5 - 3888*c - 268*c**3 + 191*c**4 + 3501*c**2.
-3*c*(c - 2)**2*(c + 18)**2
Let m be 4/52 - 102/(-26). Factor 12*c**m + 7*c + 1557*c**5 - 1555*c**5 + 24*c**2 + c + 26*c**3.
2*c*(c + 1)**2*(c + 2)**2
Let u(r) be the third derivative of r**10/352800 + r**9/23520 - r**8/6720 - 57*r**5/20 - 10*r**2. Let n(d) be the third derivative of u(d). Factor n(b).
3*b**2*(b - 1)*(b + 7)/7
Let k(u) be the third derivative of -u**6/200 - 3*u**5/100 + 9*u**4/20 - u**2 + 270. Factor k(j).
-3*j*(j - 3)*(j + 6)/5
Let k(r) be the first derivative of 4/55*r**5 - 1/11*r**4 - 1/66*r**6 + 0*r**3 - 7 + 0*r**2 + 0*r. Let k(z) = 0. What is z?
0, 2
Let d(m) be the second derivative of -m**4/36 + m**3/2 + 6*m**2 + 2691*m. Factor d(h).
-(h - 12)*(h + 3)/3
Solve 2200/3*t + 668/9*t**2 + 1250 - 88/9*t**3 + 2/9*t**4 = 0.
-3, 25
Let a(n) = -10*n**3 - 25*n**2 - 15*n - 6. Let g be a(-2). Let h(w) be the first derivative of 1/2*w**g + 2/3*w**3 - 4 + 0*w - 2*w**2. Solve h(y) = 0.
-2, 0, 1
Let h(g) be the first derivative of g**6/1080 - g**5/9 + 50*g**4/9 - 49*g**3/3 - 134. Let y(n) be the third derivative of h(n). Factor y(u).
(u - 20)**2/3
Let g(j) = -j**3 - 8*j**2 - 28*j - 44. Let i be g(-13). Let z = 1167 - i. Factor -9/2 - 15/4*q - 3/4*q**z.
-3*(q + 2)*(q + 3)/4
Let j(h) be the second derivative of 4*h**7/63 - 11*h**6/45 - h**5/10 + 2182*h + 1. Factor j(x).
2*x**3*(x - 3)*(4*x + 1)/3
Let a = -8/6793 - -14217781/27172. Let y = a + -521. Suppose -y*r + 51/8*r**4 + 3/8*r**3 - 51/8*r**2 + 15/8*r**5 + 0 = 0. What is r?
-3, -1, -2/5, 0, 1
Let h(v) be the first derivative of v**6/57 + 4*v**5/95 - 6*v**4/19 - 80*v**3/57 - 32*v**2/19 + 5665. Factor h(f).
2*f*(f - 4)*(f + 2)**3/19
Let w(u) = 2*u - 1. Let v be w(-5). Let y = 96 + v. Determine h, given that -h**2 + 0*h**3 - 3*h**3 - 83 + 3*h - h**4 + y = 0.
-2, -1, 1
Let g(h) be the second derivative of -h**6/10 - 3*h**5/20 + 3*h**4 + 14*h**3 + 24*h**2 - 382*h. Factor g(b).
-3*(b - 4)*(b + 1)*(b + 2)**2
Let i = 278/79 - 148564/237. Let s = -615 - i. Find l, given that 88/3*l**2 - s*l**5 + 16/3 - 64/3*l**3 - 95/3*l**4 + 80/3*l = 0.
-2, -2/5, 1
Let q be (-286)/78 - (-10 - -5). Factor q*f**2 - 4/3*f**4 - 2*f**3 + 0 + 5/3*f + 1/3*f**5.
f*(f - 5)*(f - 1)*(f + 1)**2/3
Let v(r) be the first derivative of -r**4/108 - 4*r**3/27 - 7*r**2/18 - 40*r + 26. Let g(q) be the first derivative of v(q). Factor g(c).
-(c + 1)*(c + 7)/9
Let z(m) be the third derivative of 1/6*m**4 + 206*m**2 + 0*m - 8/3*m**3 + 0 - 1/30*m**6 + 4/15*m**5. Let z(q) = 0. Calculate q.
-1, 1, 4
Suppose -5*h 