210*p**7. Solve a(h) = 0.
-4, 0
Suppose 5*z = 9*z - 5*t + 2269, -4*z - 2*t - 2290 = 0. Let q = -291 - z. Factor -3*r**2 + 2*r**2 + 5 + q*r - 276*r.
-(r - 5)*(r + 1)
Let s(o) = o + 57. Let k be s(18). Let f be (-56)/(-30) + (40/k)/4. Determine m, given that 6/5 - 7/5*m + 0*m**f + 1/5*m**3 = 0.
-3, 1, 2
Find i, given that 211*i**2 + 160*i**2 + 72 + 429*i + 76*i**2 - 105*i**2 - 15*i**3 = 0.
-1, -1/5, 24
Let v be (-7)/(14/(-4))*-2. Let h(g) = g**2 + g - 9. Let z be h(v). Find r, given that 36*r**4 - 48*r**3 - 183*r**4 - 36*r**z - 12*r**2 = 0.
-2/7, 0
Let v(m) be the second derivative of 3*m**5/20 + 181*m**4/4 + 442*m**3 + 1056*m**2 + 3915*m. Find o such that v(o) = 0.
-176, -4, -1
Let n = 10369/2 - 4997. Let o(c) be the second derivative of -n*c**2 - 75/2*c**3 + 0 - 3/20*c**5 - 21*c - 15/4*c**4. Factor o(m).
-3*(m + 5)**3
Let a(b) = -10*b**2 + 32*b - 10. Let p(h) = h**2 - h. Let d(j) = -4*j + 95. Let s be d(25). Let t(y) = s*p(y) - a(y). Factor t(v).
(v - 5)*(5*v - 2)
Let f = -1418597 - -4255801/3. Factor 6*s - f*s**2 + 0 + 1/6*s**3.
s*(s - 18)*(s - 2)/6
Suppose -3*w + 60 = 3*d, -32*w = -33*w + 2*d + 5. Let o(n) be the first derivative of 1/8*n**4 + w + 25/4*n**2 + 5/3*n**3 + 0*n. Factor o(g).
g*(g + 5)**2/2
Let o(z) be the first derivative of -2*z**3/21 - 760*z**2/7 - 147. Factor o(c).
-2*c*(c + 760)/7
Let w = -2/5429 - -928363/10858. Let g = 861/10 - w. What is b in -7/10*b**2 + 1/10*b**4 - 1/10*b**3 + g + 1/10*b = 0?
-2, -1, 1, 3
Let w = 68 + -339/5. Let g be 3 - (-9 - -1) - ((-25)/(8 - 3) - -14). Factor -9/5 - w*u**g + 6/5*u.
-(u - 3)**2/5
Let b(m) be the first derivative of -m**6/21 + 4*m**5/7 + 13*m**4/14 - 44*m**3/21 + 1631. Solve b(s) = 0.
-2, 0, 1, 11
Suppose -5*y - 2*k = -13, 37 - 15 = 2*y + 5*k. Let n be 1 + -6 - -1 - (-9 + y). Factor 27/2*f**5 - 9*f**3 - 27/2*f**4 - n*f + 14*f**2 + 0.
f*(f + 1)*(3*f - 2)**3/2
Find g, given that -29*g**2 + 69*g**2 + 11*g - 41*g**2 + 180 = 0.
-9, 20
Let v(j) be the third derivative of 1/30*j**5 + 8 - 2*j**2 - 1/105*j**7 - 1/84*j**8 + 0*j**4 + 0*j + 1/30*j**6 + 0*j**3. Determine k, given that v(k) = 0.
-1, -1/2, 0, 1
Factor -15/2*h - 1/2*h**2 + 0.
-h*(h + 15)/2
Let x be 252/3 + (-8)/6*3. Let k = -77 + x. Suppose -3*m**2 + m**2 - k + 8 + 7*m**2 + 10*m = 0. What is m?
-1
Let v = -522586 + 1045175/2. Factor 19/4*c - 5*c**2 + 1/2*c**4 - 1/4*c**5 - v + 3/2*c**3.
-(c - 2)*(c - 1)**3*(c + 3)/4
Suppose 0 = -11*o + 107932 + 71500. Find c, given that -3812 + 5*c**2 - 58*c - 278*c - 282*c + o + 118*c = 0.
50
Let m(t) = -37*t + 211. Let p be m(3). Suppose -p*a = -91*a. What is q in -1/2*q**4 + 0 + a*q**2 + 3/4*q**3 - 1/4*q**5 + 0*q = 0?
-3, 0, 1
Let m(s) = -2*s**2 - 2*s - 1. Let y be m(-1). Let h be (7/(-14))/((-9)/8 - y). Factor 21*b**2 + 19*b**2 - 177*b**4 + 173*b**h + 12*b**3.
-4*b**2*(b - 5)*(b + 2)
Let z(k) be the first derivative of k**5/60 + 2*k**4/3 - 17*k**3/6 + 221*k**2/2 - 218. Let t(r) be the second derivative of z(r). Factor t(l).
(l - 1)*(l + 17)
Solve 68/7*j**2 + 1/7*j**5 + 0 - 2/7*j**4 - 60/7*j - 19/7*j**3 = 0 for j.
-5, 0, 2, 3
Let t = 1589/62 - 717/31. Suppose -3/2*x**4 - 1 + 1/2*x - 1/2*x**3 + t*x**2 = 0. What is x?
-1, 2/3, 1
Let b(k) = k**2 + 19*k + 20. Let a(x) = 7*x + 6. Let p be a(-1). Let q be b(p). Factor -3/5*m**q - 3/5*m + 0.
-3*m*(m + 1)/5
Let c be 277/6 + 60/72. Factor c*f**2 + 6*f**3 + 5*f**3 + 1681*f - 15*f**3 + 35*f**2 + 5*f**3.
f*(f + 41)**2
Let w be 28/33 - (-14)/(-21). Let q be (0 + 1)*((17 - -5) + -22). Factor -w*m + q - 8/11*m**3 - 10/11*m**2.
-2*m*(m + 1)*(4*m + 1)/11
Suppose -5*t - 3*k + 68 = k, 3*t = -3*k + 42. Let 15*x**3 - 3*x**2 - 2*x**4 - t*x**2 + 25*x**2 + 7*x**4 = 0. What is x?
-2, -1, 0
Solve -3*i**2 - 3/4*i**3 + 15/2 + 21/4*i = 0.
-5, -1, 2
Let p(y) be the first derivative of 5*y**4/12 - 100*y**3/3 + 1000*y**2 - 82*y + 59. Let n(t) be the first derivative of p(t). Solve n(l) = 0 for l.
20
Let c(w) be the first derivative of 1/120*w**5 - 11*w + 23 - 343/12*w**2 - 7/24*w**4 + 49/12*w**3. Let s(p) be the first derivative of c(p). Factor s(m).
(m - 7)**3/6
Suppose 13*b + 12 = 17*b. Let p(o) = -5*o**3 - 60*o**2 - 64*o. Let d(k) = -9*k**3 - 122*k**2 - 128*k. Let a(s) = b*d(s) - 5*p(s). Factor a(f).
-2*f*(f + 1)*(f + 32)
Determine u, given that -2/5*u**2 + 106 + 96/5*u = 0.
-5, 53
Let m(n) be the second derivative of -n**7/2520 + n**6/360 + n**5/40 + 95*n**4/4 - n - 9. Let b(x) be the third derivative of m(x). Factor b(v).
-(v - 3)*(v + 1)
Let q(k) be the third derivative of -k**7/840 + k**6/30 - k**4/12 + k**3/6 - 30*k**2. Let z(l) be the second derivative of q(l). Factor z(i).
-3*i*(i - 8)
Let m(i) = 110*i + 443. Let o = 1392 + -1396. Let y be m(o). Factor 5/3*a**2 + 0 + 5/3*a**4 + 0*a - 10/3*a**y.
5*a**2*(a - 1)**2/3
Factor -1325*n**3 - 359*n**4 - 424*n**4 - 87120*n + 778*n**4 - 88440*n**2.
-5*n*(n + 1)*(n + 132)**2
Let n(w) be the third derivative of -w**8/3024 + 2*w**7/105 - w**6/4 - 323*w**5/135 + 1805*w**4/72 + w**2 + 627. Suppose n(x) = 0. What is x?
-5, 0, 3, 19
Let i(l) be the first derivative of 0*l**2 + 0*l**4 + 30 - 16*l + 1/130*l**5 - 1/39*l**3. Let f(n) be the first derivative of i(n). Factor f(v).
2*v*(v - 1)*(v + 1)/13
Let h(o) = 835*o**2 + 823*o + 8. Let u(x) = -9185*x**2 - 9045*x - 85. Let b(y) = 45*h(y) + 4*u(y). Factor b(i).
5*(i + 1)*(167*i + 4)
Let s(k) = k**2 - 16*k - 1. Let b(r) = -6*r**2 + 72*r + 25. Let l(g) = -b(g) - 5*s(g). Factor l(c).
(c - 2)*(c + 10)
Factor -58*f**4 - 160*f**4 + 1652*f**3 - 54*f - 5891663 - 3636*f**2 + 2*f**5 + 5897117.
2*(f - 101)*(f - 3)**3*(f + 1)
Let m = -8893/2 - -4447. Let k(s) be the first derivative of -2/3*s + 2/9*s**3 - 1/18*s**6 + 0*s**5 - m*s**2 + 1/3*s**4 + 12. Suppose k(u) = 0. Calculate u.
-1, 1, 2
Let i = 234/53 + -1117/265. Factor 0*m + 0*m**2 + i*m**3 + 1/5*m**4 + 0.
m**3*(m + 1)/5
Let s(v) = -v**2 + 26*v + 7. Let x(k) = -k**2 + 51*k + 16. Let l(p) = 7*s(p) - 4*x(p). Let o(z) = z**2 + 2*z - 1. Let g(i) = -3*l(i) - 6*o(i). Factor g(w).
3*(w + 1)*(w + 17)
Let f = -565 + 581. Suppose 0 = -3*b + f - 4. Let -9/4 - 9/4*n**b + 3*n + 9/2*n**2 + 3*n**5 - 6*n**3 = 0. Calculate n.
-1, 3/4, 1
Let -298/13*i**2 + 264/13*i + 504/13 + 12/13*i**5 + 38/13*i**4 - 8*i**3 = 0. Calculate i.
-3, -7/6, 2
Let a(q) be the third derivative of q**6/90 - q**5/3 + 25*q**4/6 - 16*q**3 + 8*q**2 + q. Let l(i) be the first derivative of a(i). Factor l(n).
4*(n - 5)**2
Let b(u) be the second derivative of -u**5/10 + 119*u**4 - 42483*u**3 + 1261*u. Find p, given that b(p) = 0.
0, 357
Let t = -22219 - -22222. Determine z, given that -4 - 2/3*z**t - 19/3*z**2 - 28/3*z + 1/3*z**4 = 0.
-2, -1, 6
Suppose 0 = 5*o + 6 - 16. Solve -6*j**o - j**2 + j - 21*j**4 - 7*j + 22*j**4 = 0.
-2, -1, 0, 3
Let h(d) = 7*d**3 + 42*d**2 - 307*d + 258. Let s(r) = 3*r**3 - 2*r**2 - 1. Let b(u) = -h(u) + 2*s(u). Solve b(z) = 0.
-52, 1, 5
Find h such that 3/2*h**2 + 0 + 9/4*h - 3/4*h**3 = 0.
-1, 0, 3
Factor -339*p**2 - 11*p**2 + 341*p**3 - 687*p**3 + 552 + 1098 + 341*p**3 - 1295*p.
-5*(p - 1)*(p + 5)*(p + 66)
Suppose -i = 18*i - 57. Suppose 39*m + 23*m**i + 18 - 3*m**3 - 3*m**4 - 23*m**3 + 21*m**2 = 0. Calculate m.
-2, -1, 3
Let v(f) be the third derivative of -f**7/504 + f**6/12 - f**4/8 - 2*f**3 - 18*f**2 + 2*f. Let j(q) be the second derivative of v(q). Factor j(i).
-5*i*(i - 12)
Let v(u) be the first derivative of -u**6/3600 + 3*u**5/200 - 27*u**4/80 - 22*u**3 + 3. Let m(k) be the third derivative of v(k). Solve m(j) = 0.
9
Let j(t) be the second derivative of -8/15*t**3 + 1/15*t**4 + 2 - 14*t - 2*t**2. Suppose j(c) = 0. Calculate c.
-1, 5
Let z be ((-32)/40)/(-2*(-3)/(-15)). Factor -2*b + z + 3*b**2 - 9*b**2 + 22 + 4*b**2.
-2*(b - 3)*(b + 4)
Let s = -2627 + 2627. Let p(n) be the third derivative of -18*n**2 + 0 - 5/42*n**5 + s*n - 5/42*n**4 - 1/21*n**3. Factor p(u).
-2*(5*u + 1)**2/7
Let y = -469 - -471. Factor y*b**3 + 21 - 7*b**3 + 3*b**3 + 5*b**2 + 3*b**2 + 31*b**2 + 62*b.
-(b - 21)*(b + 1)*(2*b + 1)
Suppose 0 = 3*y - 4*h - 39, 5*y - 7*h - 57 = -3*h. Find v, given that -6*v**2 - 4*v**3 + y*v**5 + 7*v**3 + 5*v**4 + 19*v**4 + 6*v**3 = 0.
-2, -1, 0, 1/3
Suppose 0 = -a + u + 5 - 6, 9 = -4*a + 5*u. Suppose -22 = -a*z - 10. Let -f**z - 5*f**4 + 0*f**4 + 4*f**4 - 295*f + f**2 + 296*f = 0. Calculate f.
-1, 0, 1
Let k(d) = -14*d**2 + 54*d + 13. Let h be k(4). Let c(s) b