8*y**2 + 30*y**f - 11*y = 0.
-1, 10
Let p(s) be the second derivative of -197*s - 1/15*s**4 + 4/15*s**3 + 0 + 16/5*s**2. Determine i so that p(i) = 0.
-2, 4
Let l(r) be the first derivative of r**5/35 - 2*r**4 + 97. Suppose l(h) = 0. What is h?
0, 56
Let h(u) = 5*u**4 - 289*u**3 + 862*u**2 - 4*u + 32. Let x(g) = g**4 + g**2 - g + 8. Let v(a) = -h(a) + 4*x(a). Factor v(f).
-f**2*(f - 286)*(f - 3)
Let q(h) = -7*h**2 + 1648*h + 137786. Let v(c) = 5*c**2 - 1650*c - 137785. Let l(k) = 5*q(k) + 6*v(k). Find m, given that l(m) = 0.
-166
Let a(k) = 14*k**4 + 31*k**3 - 149*k**2 + 66*k + 142. Let s(y) = -y**4 + y**2 - y - 1. Let l(j) = -a(j) - 10*s(j). Let l(r) = 0. Calculate r.
-11, -3/4, 2
Let a = -7370698/7443 - -10/52101. Let t = a + 992. Factor -8/7*l + t - 20/7*l**2.
-4*(l + 1)*(5*l - 3)/7
Let n(r) be the third derivative of -1/30*r**5 - 169*r**2 + 1/3*r**3 + 0*r**4 + 0 + 0*r. Factor n(b).
-2*(b - 1)*(b + 1)
Let m(c) be the second derivative of -c**5/60 - 17*c**4/36 - 31*c**3/18 - 5*c**2/2 + 915*c. Factor m(i).
-(i + 1)**2*(i + 15)/3
Suppose 5*v + 0*s + s - 255 = 0, 2*v - 3*s = 119. Let j(l) = l**2 + 4*l - 2. Let u be j(-5). Factor 29*g**u - v*g**3 - g + 24*g**3.
g*(g - 1)*(g + 1)
Let d be -2 + (-8028)/378 - -24. Let u(p) = -2*p**3 - 3*p**2 - 2*p - 3. Let f be u(-2). What is r in 16/21*r**4 + 0 - 4/7*r**3 - d*r**2 + 2/7*r**f + 2/7*r = 0?
-3, -1, 0, 1/3, 1
Suppose -41*b - 52*b**3 - 370405*b**4 + 370397*b**4 + 4*b**5 - 55*b + 152*b**2 = 0. What is b?
-4, 0, 1, 2, 3
Let i(d) be the first derivative of 1/21*d**3 - 1/140*d**5 + 0*d**2 + 16*d - 33 - 1/84*d**4. Let s(v) be the first derivative of i(v). Factor s(z).
-z*(z - 1)*(z + 2)/7
Let d(s) = -50*s**3 + 78*s**2 - 30*s + 10. Let z(a) = -a**2 + a - 1. Let g be 6/(-4)*2/9*3. Let n(m) = g*d(m) - 8*z(m). Suppose n(p) = 0. Calculate p.
1/5, 1
Let b(w) be the second derivative of -w**6/150 + 41*w**5/50 - 13*w**4/5 - 164*w**3/15 + 64*w**2 + 151*w + 14. Factor b(q).
-(q - 80)*(q - 2)**2*(q + 2)/5
Let t = 50 + -51. Let n(l) = -7*l - 1. Let q be n(t). Factor -5*y**2 - 3*y**3 + 5*y**2 - 7*y + 16*y + q.
-3*(y - 2)*(y + 1)**2
Let o = -4254048707/1253 - -3395091. Let m = o + 6/179. Suppose 0*l - 2/7 + m*l**2 = 0. Calculate l.
-1, 1
Let l(t) be the third derivative of t**8/1512 + 2*t**7/135 + 2*t**6/45 - 1098*t**2 - t. Find p, given that l(p) = 0.
-12, -2, 0
Let a(q) = -4 + 21*q - 4*q**2 + 25 - 38*q + 3*q**2. Let u be a(-18). Suppose -u + 3*l - 3/4*l**2 = 0. What is l?
2
Factor -80*m + 25 + 2*m**2 + 2*m**2 + 76 + 263.
4*(m - 13)*(m - 7)
Let i(b) = 4*b**4 + 17*b**3 + 10*b**2 - 3. Let q(s) = -s**4 - 4*s**3 - s**2 + s + 1. Let h(z) = 5*i(z) + 15*q(z). What is k in h(k) = 0?
-3, -1, 0
Let q(j) be the first derivative of 3*j**5/20 - 45*j**4 + 7551*j**3/2 - 31590*j**2 + 369603*j/4 + 5270. Solve q(b) = 0.
3, 117
Factor -9/2 - 3/8*o**3 + 21/8*o**2 - 3/2*o.
-3*(o - 6)*(o - 2)*(o + 1)/8
Suppose 231*v = 15*v + 172 + 260. Suppose 1/2*z**v + 2*z + 3/2 = 0. What is z?
-3, -1
Let a(i) = i**2 - i - 1. Let z(b) = 5*b**2 - 4*b - 3. Let s = 81 - 77. Suppose 30 = -s*c - c. Let f(p) = c*a(p) + z(p). What is t in f(t) = 0?
-1, 3
Let d = 2385 - 4701. Let b = -34724/15 - d. Suppose b*m + 8/15 + 2/15*m**3 + 2/3*m**2 = 0. Calculate m.
-2, -1
Let b(n) = 2*n**4 + 22*n**3 - 20*n**2 - 121*n + 156. Let w(j) = -14*j**2 + j. Let h(z) = b(z) + 3*w(z). Find p such that h(p) = 0.
-13, -2, 1, 3
Find y, given that 520908 + 1698682 - 2*y**2 + 2857*y - 380228 + 4*y**2 + 979*y = 0.
-959
Let t = 170242/35 - 4864. Let z(y) be the first derivative of 0*y**4 + 0*y**2 - 26 + 2/7*y + t*y**5 - 4/21*y**3. Let z(x) = 0. What is x?
-1, 1
Let t(h) be the third derivative of h**6/120 + 2*h**5/5 - 1024*h**3/3 - 1854*h**2 - h - 2. Factor t(d).
(d - 8)*(d + 16)**2
Let o = -1106279/11 + 100571. Solve 0*r - 2/11 + o*r**2 = 0.
-1, 1
Let g(x) be the third derivative of -5*x**8/336 + 8*x**7/21 + 35*x**6/24 + 3*x**5/2 + 695*x**2. Factor g(k).
-5*k**2*(k - 18)*(k + 1)**2
Let m(q) be the first derivative of -4*q**3/15 + 2872*q**2/5 - 2062096*q/5 + 2457. Factor m(f).
-4*(f - 718)**2/5
Factor -k**4 + 136*k - 743 - 29*k**3 + 647 - 3*k**4 - 19*k**3 + 12*k**2.
-4*(k - 1)**2*(k + 2)*(k + 12)
Factor 20/7*t + 96/7 + 1/7*t**2.
(t + 8)*(t + 12)/7
Let 15115*j**2 + 51*j**5 - 14040*j - 46*j**5 + 3156 - 535*j**4 + 14035*j**3 - 13231 - 4505 = 0. Calculate j.
-1, 1, 54
Let v be 13 + -10 + 0/(-2). Suppose -v*l - 2*j - 2 = 0, l - 13 = 4*j + 5. Factor -12*u**3 - 8*u**l - 8*u**2 - 10*u + 6*u.
-4*u*(u + 1)*(3*u + 1)
Suppose -7/5 - 18/5*g**2 + 4*g + 1/5*g**4 + 4/5*g**3 = 0. What is g?
-7, 1
Solve 147/5*l**5 + 1536/5*l + 1824/5*l**2 - 1239/5*l**4 + 48 - 2508/5*l**3 = 0.
-2, -2/7, 1, 10
Factor -384*w - 1936/5 - 468/5*w**2 + 4/5*w**3.
4*(w - 121)*(w + 2)**2/5
Let j(l) = -33*l**4 - 189*l**3 - 1002*l**2 - 816*l + 12. Let h(o) = -6*o**4 + o**2 + 2. Let s(p) = 6*h(p) - j(p). Find c, given that s(c) = 0.
-4, -1, 0, 68
Let a = -3918/7 - -560. Let v(z) be the first derivative of -4/21*z**6 + a*z**4 - 2 - 2/35*z**5 + 0*z**2 + 2/21*z**3 + 0*z. Determine d so that v(d) = 0.
-1, -1/4, 0, 1
Let f(w) be the second derivative of w**6/150 + 63*w**5/100 + 887*w**4/60 - 1177*w**3/10 - 2178*w**2/5 + 3813*w. Factor f(g).
(g - 4)*(g + 1)*(g + 33)**2/5
Let r(j) be the first derivative of 12*j**5/5 + 185*j**4/4 + 673*j**3/3 + 110*j**2 - 100*j - 12680. Determine l, given that r(l) = 0.
-10, -5, -2/3, 1/4
Let j = -3 + 5. Let w = 122524/3 + -40841. Factor -j*k**2 + w*k**3 + 3*k - 4/3.
(k - 4)*(k - 1)**2/3
Let y = 130212 - 913428/7. Let j = 278 + y. Factor -j*p**2 + 4/7 + 2/7*p.
-2*(p - 2)*(p + 1)/7
Factor -630*c**2 + 11 + 202449*c - 204334*c + 4.
-5*(c + 3)*(126*c - 1)
Let d(f) be the second derivative of f**4/42 - 440*f**3/7 + 435600*f**2/7 - f + 358. Factor d(y).
2*(y - 660)**2/7
Let i(d) = 2*d**3 - 49*d**2 + 106*d + 115. Let a be i(22). Factor 3/2*n**2 + 243/2 - a*n.
3*(n - 9)**2/2
Let f = -3165 - -28487/9. Let u(h) be the first derivative of -12 - 1/3*h**4 + 1/3*h**2 + 1/15*h**5 + 1/9*h**6 + 1/3*h - f*h**3. Solve u(w) = 0 for w.
-1, -1/2, 1
Let j be (-2106)/(-2100) - -3 - 4. Let t(f) be the third derivative of -3/100*f**6 + 16*f**2 - 1/5*f**4 - j*f**7 + 0 + 0*f**3 - 3/25*f**5 + 0*f. Factor t(i).
-3*i*(i + 2)**3/5
Let h(i) be the third derivative of -59 - 5/24*i**4 - 1/240*i**6 - i**2 + 0*i + 0*i**3 + 7/120*i**5. Determine w so that h(w) = 0.
0, 2, 5
Let c(n) be the third derivative of 5/3*n**4 + 3*n**2 + 0 - 1/150*n**5 - 500/3*n**3 + 49*n. Factor c(p).
-2*(p - 50)**2/5
Determine d so that 20169*d**2 + 3820*d**4 - 3817*d**4 + 20667*d - 467*d**3 - 28*d**3 = 0.
-1, 0, 83
Suppose -3*i = 2*j + 2*i + 1481, 4*j + 2907 = i. Let m be 2/1 - (3 + j). Factor -20 + 117*g**2 - 484*g**2 - 340*g - m*g**2 - 351*g**2.
-5*(17*g + 2)**2
Suppose 2*c - 94 = -4*n, -3*n - 94 = -87*c + 85*c. Let v = 190/3 - c. Factor -1/3*l**2 - v - 14/3*l.
-(l + 7)**2/3
Suppose -4*z = -2*x, -37*z = -5*x - 40*z + 26. Let s(o) be the third derivative of -1/2*o**3 + 0 + 5/48*o**x - 9*o**2 + 0*o - 1/120*o**5. Solve s(c) = 0.
2, 3
Let b = 1/21117 + 14077/21117. Suppose -b*l - 2*l**2 + 2 + 2/3*l**3 = 0. What is l?
-1, 1, 3
Let n = -2454 + 2456. Let s(u) be the second derivative of n*u - 5*u**3 - 11/10*u**5 - 4*u**4 - 2*u**2 + 0. Factor s(d).
-2*(d + 1)**2*(11*d + 2)
Let c = -338367 - -338367. Find r, given that c + 0*r - 2/11*r**3 - 2/11*r**4 + 4/11*r**2 = 0.
-2, 0, 1
Suppose -28*s - 30 + 2 = 0. Let d be (s/6)/(24/(-2208)). Solve -d*u + 4 - 8/3*u**2 = 0.
-6, 1/4
Let b(c) be the first derivative of 190 + 7/5*c**2 + 24/5*c + 1/15*c**3. Factor b(r).
(r + 2)*(r + 12)/5
Let f(w) be the first derivative of 5*w**3/3 - 5*w**2 - 75*w - 2. Determine m so that f(m) = 0.
-3, 5
Let q = 1375363/6 + -229227. Factor -35/3*l + q*l**2 + 1225/6.
(l - 35)**2/6
Let r(l) be the second derivative of 11/5*l**5 + 3 - 19*l + 0*l**2 + 8/15*l**6 - l**4 + 0*l**3. Find w such that r(w) = 0.
-3, 0, 1/4
Factor 35*a + 6*a**2 + 4*a**2 + 27005*a**3 - 15 - 27045*a**3.
-5*(a + 1)*(2*a - 1)*(4*a - 3)
Suppose 8*b - 10*b + 4 = 0. Factor 4*p**2 - 4*p**2 - 10*p**b + 5*p**2 - 40*p.
-5*p*(p + 8)
Let f = 31 + -22. Let -f + 2*d**4 + 2*d - 48*d - 7 + 20*d**2 - 62*d**2 - 10*d**3 = 0. Calculate d.
-1, 8
Let g = -198 - -203. Let a(w) = w**3 + 3*w**2 + 8*w - 14. Let y(x) = x - 3. Let h(l) = g*y(l) - a(l). Let h(u) 