0438*s**2 + 20*s + 504 - 70*s = 0.
14, 36
Factor -58*h**2 - 22*h**3 + 448*h - 2240 - 414*h**2 - 174*h + 885*h + 993*h.
-2*(h - 2)**2*(11*h + 280)
Let u(w) be the third derivative of -w**5/12 - 5*w**4/8 + 45*w**3 + 74*w**2. Solve u(z) = 0.
-9, 6
Let y(p) be the first derivative of p**5/15 + 5*p**4/3 - 22*p**3/3 - 7*p**2/2 + 28. Let j(r) be the second derivative of y(r). Factor j(w).
4*(w - 1)*(w + 11)
Let k = 18 + -20. Let p be (3/9)/(-1*k/30). Let q(w) = -15*w**2 + 30*w - 20. Let u(t) = 7*t**2 - 15*t + 10. Let r(y) = p*u(y) + 2*q(y). Solve r(s) = 0 for s.
1, 2
Factor -39675*g - 345/2*g**2 - 3041750 - 1/4*g**3.
-(g + 230)**3/4
Let y(l) be the second derivative of -1/60*l**6 + 58*l + 0*l**2 + 7/6*l**3 + 0 - 7/20*l**5 + 1/24*l**4. Find t, given that y(t) = 0.
-14, -1, 0, 1
Let a = 2770760/84819 + -2/28273. Factor -a - 28/3*o - 2/3*o**2.
-2*(o + 7)**2/3
Factor 0 + 0*y**2 + 30*y**4 + 0*y**3 - 2/5*y**5 + 0*y.
-2*y**4*(y - 75)/5
Let v(b) = 99 + 1 - 166*b + 152*b. Let c be v(7). Factor -2/7*o**c + 20/7*o - 50/7.
-2*(o - 5)**2/7
Let z = 18 + -6. Let u = 21 + -17. Find w, given that -4*w - 32*w**3 - 16*w**2 + z + u*w**2 + 36*w**3 = 0.
-1, 1, 3
Let t(x) be the first derivative of 48 + 11/6*x - 1/18*x**3 + 5/6*x**2. Factor t(w).
-(w - 11)*(w + 1)/6
Let t = 71 - 68. Solve 4 + 8*f - 7*f**2 + 12 + t*f**2 - 2*f**3 = 0.
-2, 2
Let h = 112 - 112. Suppose 0 = -4*p + 2*l - 1 + 5, -3*p + 3*l = h. Let -m**3 - 5*m - 125 - 2*m + 6*m - 74*m - 15*m**p = 0. What is m?
-5
Let k be 0/(-8)*5/(-65). Let p(a) be the first derivative of k*a**2 - 12 - 1/15*a**3 + 1/5*a. Solve p(z) = 0.
-1, 1
Suppose 0 = k - 4*n - 5, -k - n - 3*n - 19 = 0. Let c be -8*(-1)/(-2) - k. Suppose -14*j**2 - 24*j + 16*j**c - 6*j**2 - 20*j**3 = 0. What is j?
-3, -2, 0
Let v(d) be the second derivative of -2/105*d**6 + 0 + 0*d**2 - 2/35*d**5 + 15*d - 1/21*d**4 + 0*d**3. What is m in v(m) = 0?
-1, 0
Solve -a**4 + 7864*a**2 - 101713*a + 68984 + 14353*a + 1344*a**3 + 5205 + 77911 + 37*a**4 = 0.
-65/3, 3
Let i(c) be the first derivative of c**5/15 - 50*c**3/3 + 8*c**2 + 3*c - 118. Let f(j) be the second derivative of i(j). Factor f(b).
4*(b - 5)*(b + 5)
Suppose 0*x + 3*x = 15, -2*i + 2*x = 4. Let -18 + 9*l**i + l**4 + 8747*l - 9*l**2 - 8780*l + 2*l**4 = 0. Calculate l.
-3, -1, 2
Suppose 72*f - 3*i = 73*f + 28, -4*i - 49 = -f. Factor 12/5*o**2 - 6/5*o**4 - 9/5*o**3 + 3/5*o**f + 0 + 12/5*o.
3*o*(o - 2)**2*(o + 1)**2/5
Determine y so that 36 + 38*y - 2/9*y**3 + 16/9*y**2 = 0.
-9, -1, 18
Let u be -1 - 7/((-539)/91) - 2502/(-396). Determine b, given that -u*b**2 + 1/2*b**4 + 23/4*b + 7/4*b**3 - 3/2 = 0.
-6, 1/2, 1
Let f(w) be the third derivative of 0*w + 11/240*w**5 - 1/8*w**4 - 1/280*w**7 + 3 + 1/6*w**3 + 29*w**2 - 1/480*w**6 + 1/1344*w**8. Suppose f(t) = 0. What is t?
-2, 1, 2
Suppose 10*c = 62 + 548. Factor -c + 38*j - 168*j + 5*j**2 - 113 + 39.
5*(j - 27)*(j + 1)
Factor 78*v - 261 - 97*v**2 + 216*v**2 - 116*v**2.
3*(v - 3)*(v + 29)
Let g = -13743 + 13748. Let a(w) be the first derivative of 0*w**2 - 2*w**3 - 1/5*w**g + 0*w - 24 + 5/4*w**4. Find y, given that a(y) = 0.
0, 2, 3
Let r(t) be the second derivative of -t**4/84 + 13*t**3/14 - 27*t**2 - 8212*t. Factor r(o).
-(o - 21)*(o - 18)/7
Find u such that -2/3*u**2 + 3312*u - 4113504 = 0.
2484
Let z be (-489)/(-4830) + 64/(-736). Let n(i) be the second derivative of -z*i**5 - 1/210*i**6 + 1/21*i**3 + 0 + 2*i + 1/84*i**4 + 0*i**2. Factor n(h).
-h*(h - 1)*(h + 1)*(h + 2)/7
Let j(b) be the first derivative of b**6/15 + 78*b**5/25 - 9*b**4/10 - 694*b**3/15 + 168*b**2/5 + 936*b/5 + 1502. Solve j(v) = 0.
-39, -3, -1, 2
Let q(j) be the second derivative of 34*j + 0*j**3 + 3/2*j**5 - 1/20*j**6 + 0 + 0*j**2 - 25/2*j**4. Factor q(h).
-3*h**2*(h - 10)**2/2
Suppose 4*w - 6 = -81*o + 79*o, -3*w + 2*o = -22. Factor -7 + w*d**2 - 10 + 4*d**3 + 11 + 6.
4*d**2*(d + 1)
Let i(f) = -14*f**3 + 235*f**2 + 247*f - 493. Let k(a) = 44*a**3 - 704*a**2 - 740*a + 1480. Let o(z) = 16*i(z) + 5*k(z). Find b, given that o(b) = 0.
-2, 1, 61
Let v(g) be the third derivative of g**8/1008 + g**7/45 + 17*g**6/90 + 34*g**5/45 + 4*g**4/3 + 198*g**2 - 22*g + 1. Factor v(t).
t*(t + 2)**2*(t + 4)*(t + 6)/3
Let i = -21 - -30. Suppose i*c - 72 = 6*c. Factor c*q**3 + 2*q**2 + 28*q**3 - 50*q**3.
2*q**2*(q + 1)
Let g be ((-576)/5808)/((-18)/99). Let -6/11*v**3 + g*v**2 + 0 - 2/11*v + 2/11*v**4 = 0. Calculate v.
0, 1
Let h = 3 + -17. Let y be (61/(-2) - 2)*(12 + h). Solve 60*u**2 - 260 + y*u**2 - 15*u**4 - 20*u**3 + 300 - 130*u = 0.
-4, 2/3, 1
Let w(l) be the third derivative of -25*l**8/504 - 79*l**7/63 - 827*l**6/90 - 38*l**5/3 - 6*l**4 + 2*l**2 - l - 782. Find m, given that w(m) = 0.
-9, -6, -2/5, 0
Let o(s) be the second derivative of -1/70*s**5 - 22*s**2 - 4/3*s**3 - 3 + 3*s - 11/21*s**4. Let l(q) be the first derivative of o(q). Factor l(g).
-2*(g + 14)*(3*g + 2)/7
Let 2952192 + 2964096*w + 640838*w**2 - 203*w**3 + 109126*w**2 + 3219*w**3 - 28*w**3 + 6*w**4 - 3*w**4 = 0. Calculate w.
-496, -2
Factor 57/4*v**2 - 3/2*v**3 + 0 + 15*v - 3/4*v**4.
-3*v*(v - 4)*(v + 1)*(v + 5)/4
Suppose 606*v + 85 = 623*v. Let d be ((-144)/45 + v)*5/3. Let a**2 + 0*a**d + 0 - 2/3*a - 1/3*a**4 = 0. Calculate a.
-2, 0, 1
Determine t so that 260/3*t - 170*t**2 - 125/3*t**4 + 140*t**3 - 15 = 0.
9/25, 1
Suppose 2001 = -5*q + 511. Let w = -2074/7 - q. Factor 15/7*r**2 - 9/7*r**3 - 12/7 + w*r.
-3*(r - 2)*(r + 1)*(3*r - 2)/7
Let g(i) be the first derivative of -i**6/2520 + i**4/42 - 83*i**3/3 - i - 217. Let j(q) be the third derivative of g(q). Factor j(z).
-(z - 2)*(z + 2)/7
Let b(c) be the third derivative of 17*c**8/6 - 7526*c**7/105 + 2419*c**6/5 + 2848*c**5/15 + 64*c**4/3 + 44*c**2 - 27*c. Let b(v) = 0. Calculate v.
-2/17, -1/14, 0, 8
Let j = -295923 + 1183695/4. Factor -11/4*n**3 + j*n**4 - 9/4*n + 15/4*n**2 + 1/2.
(n - 1)**3*(3*n - 2)/4
Suppose -3*i - 3*n + 24 = 0, -2*i - 15 + 3 = -5*n. Let z(b) be the first derivative of 0*b - 21 - 2/33*b**3 - 1/44*b**i + 0*b**2. Factor z(o).
-o**2*(o + 2)/11
Let v(b) = -7*b**2 + 2723*b - 8102. Let a be v(386). Factor 1/3*u**a + 1 - 2/3*u + 2/3*u**3 - 4/3*u**2.
(u - 1)**2*(u + 1)*(u + 3)/3
Let m = -446711/42 + 10636. Let l(o) be the second derivative of 0*o**4 - m*o**7 + 0*o**3 + 1/60*o**6 + 0*o**5 + 0*o**2 + 0 + 3*o. Factor l(z).
-z**4*(2*z - 1)/2
What is n in 0*n - 150*n**2 + 19*n**2 + 40*n**2 + 12*n + 13*n**4 + 39*n**2 + 13*n**3 - 4*n**5 = 0?
-2, 0, 1/4, 2, 3
Find y such that -9*y**2 + 272*y**2 - 71*y**2 + y**3 + 610*y + 416*y**2 - 3*y**3 = 0.
-1, 0, 305
Let t(r) be the third derivative of -r**6/660 + r**5/110 + 25*r**4/132 + 7*r**3/11 - 323*r**2. Factor t(s).
-2*(s - 7)*(s + 1)*(s + 3)/11
Let r be 1184/(-1036) + (-2)/280*-188. Factor 3*y**2 - 7/5*y + 0 + r*y**4 - 9/5*y**3.
y*(y - 7)*(y - 1)**2/5
Solve 2/7*w**3 - 26/7*w**2 - 342/7 - 30*w = 0.
-3, 19
Suppose -45 = q - 61. Solve 1274*v**3 - 1276*v**3 - q*v**2 + 5*v - 27*v + 40 = 0 for v.
-5, -4, 1
Let f = -39524 + 118574/3. Determine h, given that f*h**2 - 2/3*h**4 + 2*h**3 + 0 - 2*h = 0.
-1, 0, 1, 3
Let o(p) be the second derivative of -p**5/5 - 8*p**4 - 74*p**3 + 272*p**2 + 2461*p. Find d such that o(d) = 0.
-17, -8, 1
Let b be -10 - 44/(-33)*3. Let r be (-3)/(40/(-32) - 3/b). What is l in 0 + 0*l**2 + 0*l**3 - 1/6*l**r + 0*l + 1/6*l**5 = 0?
0, 1
Suppose -465 = 343*y - 342*y. Let o = y + 2343/5. Factor 33/5*k - o - 9/5*k**2.
-3*(k - 3)*(3*k - 2)/5
Let a(n) be the second derivative of -n**4/15 + 144*n**3/5 + 1374*n. Factor a(z).
-4*z*(z - 216)/5
Let k(g) be the first derivative of -10*g**6/3 - 652*g**5/5 - 1204*g**4 - 9008*g**3/3 + 2208*g**2 + 9062. Suppose k(x) = 0. Calculate x.
-23, -6, -4, 0, 2/5
Let j(o) be the second derivative of o**7/840 + o**6/4 + 45*o**5/2 - 125*o**4/12 + 7*o + 6. Let c(y) be the third derivative of j(y). Let c(m) = 0. Calculate m.
-30
Let p(a) be the second derivative of a**4/6 - 61*a**3/27 + 80*a**2/9 - 2*a + 1042. Factor p(d).
2*(d - 5)*(9*d - 16)/9
Let j be (2 + -3 + 4 + -1 + -1)/(154/140). Factor 8/11*z**3 + j*z + 42/11*z**2 + 0.
2*z*(z + 5)*(4*z + 1)/11
Suppose -2*y + g = -4*g - 26, 2*y = -g + 2. Factor -3*p**3 + 3*p**3 + 147*p - 1437*p**2 + 3*p**y + 1395*p**2.
3*p*(p - 7)**2
Suppose j + q - 5 = 0, 0 = 3*j + 3*q - 5*q. Suppose -j - 94*h**2 + 84*h**2 - 11*h + 2*h**3 - h**3 + 2 = 0. Calculate h.
-1, 0, 1