 w(y) be the second derivative of y**6/330 + y**5/220 - 5*y**4/33 + 69*y - 6. Factor w(o).
o**2*(o - 4)*(o + 5)/11
Let i(l) be the second derivative of l**5/15 - 14*l**4/3 + 18*l**3 + 68*l**2 + 82*l. Let y(r) be the first derivative of i(r). Factor y(o).
4*(o - 27)*(o - 1)
Let a(o) = 18*o**3 + 6*o**2 - 6*o - 3. Let z be 1 + -2 - 3 - (-117 - -117). Let h(g) = 20*g**3 + 5*g**2 - 7*g - 4. Let j(d) = z*a(d) + 3*h(d). Factor j(l).
-3*l*(l + 1)*(4*l - 1)
Let o(z) = -z + 6*z**2 + 5*z**2 - 9 + 4*z**2 - 11*z**2 + z**3. Let r be o(-3). Solve 4*a**3 - 8*a**2 - r - 9 - 12*a + 12 = 0.
-1, 0, 3
Let z be (-2)/70 + 760/2100. Suppose 2*t + 14 = 5*o, 4*t = 2*o + 4 - 16. Find s, given that -o*s**2 + 32/3 + 0*s - z*s**3 = 0.
-4, 2
Let l(q) be the first derivative of 4*q**3/3 - 12336*q**2 + 38044224*q - 2493. Let l(f) = 0. Calculate f.
3084
Let d = 103549/777 - 933/7. Let b = 107/222 - d. What is h in 1/2*h**2 + 0 - 1/2*h**4 + b*h**3 - 1/2*h = 0?
-1, 0, 1
Let t(h) be the third derivative of h**5/12 - 185*h**4/24 + 110*h**3 - 2*h**2 - 1856. Factor t(d).
5*(d - 33)*(d - 4)
Suppose 3*k - 15 = 0, -2*i + 4 = -3*k + 21. Let w be (i - 204/(-210))*-7. Let -3/5*b**2 + w*b + 2/5 = 0. Calculate b.
-2/3, 1
Let o = -511348 + 511352. Factor -8/19*y**o + 0 + 0*y + 82/19*y**3 - 20/19*y**2.
-2*y**2*(y - 10)*(4*y - 1)/19
Let n = -2062/7 - -298. Suppose -2*w + i = -5, 0 = -3*w - 3*i + 5 - 2. Factor -n*z - 2/7*z**w - 72/7.
-2*(z + 6)**2/7
Let c(r) be the third derivative of r**6/900 + 8*r**5/45 - 83*r**4/180 - 18*r**3/5 + 2*r**2 - 595. Find n such that c(n) = 0.
-81, -1, 2
Find i, given that 1026*i - 25*i**2 + 13*i**2 - 1156 + 0*i**2 + 2446*i = 0.
1/3, 289
Suppose 0 = 4*m - 2*b - 32, -3*m - 15 = -5*b - 39. Let t(n) be the second derivative of -3/8*n**3 + 0 + 0*n**2 + 1/16*n**4 + m*n. Factor t(q).
3*q*(q - 3)/4
Factor 140/3*r**3 + 0 + 1/3*r**5 + 0*r - 392/3*r**2 + 26/3*r**4.
r**2*(r - 2)*(r + 14)**2/3
Let s(h) = 18*h**2 - 27*h - 15. Let t(y) = -y**2 + 2*y + 1. Suppose 2*q = 2*d, -2*d = -4*d - q + 3. Let k(v) = d*s(v) + 15*t(v). Let k(n) = 0. Calculate n.
-1, 0
Let p(k) be the third derivative of -k**6/120 + 189*k**5/4 - 893025*k**4/8 + 281302875*k**3/2 - 2679*k**2. Let p(a) = 0. What is a?
945
Let s(g) be the second derivative of g**7/210 + 91*g**6/25 + 3791*g**5/100 + 4861*g**4/30 + 1798*g**3/5 + 2156*g**2/5 + 11652*g. Determine r so that s(r) = 0.
-539, -2, -1
Let f(u) = u**3 - 17*u**2 + 30*u + 3. Let l be f(15). Factor -4*y**l + 6*y**2 + 11*y + 25*y - 4*y**3 + 2*y**4 - 12*y**2.
2*y*(y - 3)**2*(y + 2)
Suppose -565 + 340 = -332*y + 192 + 579. Factor 1/3*f**y - 2 + 11/3*f - 2*f**2.
(f - 3)*(f - 2)*(f - 1)/3
Suppose -4*w - 88 = -4*h, -h = -3*w - 20 - 10. Suppose -9*c + 45 = h. Solve 3*m**c - 21*m**5 + 23*m**5 + 4*m**2 - 3*m**4 + 11*m**4 + 7*m**3 = 0 for m.
-2, -1, 0
Let z(p) be the first derivative of 0*p**2 - 77 - 6*p + 2/9*p**3. Factor z(d).
2*(d - 3)*(d + 3)/3
Let -46/9*v**2 - 8/3 - 70/9*v = 0. What is v?
-1, -12/23
Let b be (-2667)/27 + 64/576. Let m = b + 919/6. Factor 2*j + 63*j**4 + 49/2*j**5 + m*j**3 + 18*j**2 + 0.
j*(j + 1)**2*(7*j + 2)**2/2
Let k(p) be the first derivative of -p**3/6 - 22*p**2 + 90*p - 10288. Find l, given that k(l) = 0.
-90, 2
Let r = 65301/130622 - -5/65311. Find n, given that 1 + 0*n**2 - 3/2*n + r*n**3 = 0.
-2, 1
Factor 3/7*b + 1/7*b**2 - 10.
(b - 7)*(b + 10)/7
Let s(m) = 358*m + 31864. Let u be s(-89). Determine i, given that -i**3 - 9/2*i + 0 + 9/2*i**u = 0.
0, 3/2, 3
Let t = -10208 + 30628/3. Let p(y) be the first derivative of -4/15*y**5 + 0*y - 15 + 4/3*y**2 + t*y**3 + 0*y**4. Factor p(h).
-4*h*(h - 2)*(h + 1)**2/3
Let z = -16576/14022111 - -2/5919. Let v = z - -4748/11845. Determine g so that -2/5*g**2 + 0 + v*g**4 + 2/5*g**5 - 2/5*g**3 + 0*g = 0.
-1, 0, 1
Let p be (((-50)/4)/(-44 - -9))/((-7)/12 + 1). Factor 0 + p*u**2 + 26/7*u.
2*u*(3*u + 13)/7
What is w in -328425*w + 328638*w - 3*w**2 - 4 + 4 = 0?
0, 71
Let l(j) be the first derivative of 0*j**5 - 10/3*j**3 + 10*j - 15/2*j**2 + 2 - 5/6*j**6 + 5*j**4. Factor l(o).
-5*(o - 1)**3*(o + 1)*(o + 2)
Let f(d) = d**3 - 3*d**2 - d - 10. Let z(u) = -u**2 + 15*u + 38. Let b be z(17). Let a be f(b). Solve 8*j**a - 4*j**2 + 58 + 36*j - 26 = 0.
-8, -1
Let p(m) be the first derivative of -9/8*m**2 + 0*m - 3/16*m**4 - 5/4*m**3 + 3/20*m**5 - 74. What is o in p(o) = 0?
-1, 0, 3
Let z be 7/(196/(-104))*(-8)/(16/2). Find i, given that z*i + 0 - 1/7*i**2 = 0.
0, 26
Let v = -248 - -364. Let p = -114 + v. Find d, given that 0*d**3 + 1836*d**p - 18*d - 8 - 2*d**3 - 1848*d**2 = 0.
-4, -1
Let x = -93364/9 - -10374. Let m(c) be the first derivative of -x*c**3 + c**2 + 0*c + 18. Suppose m(n) = 0. Calculate n.
0, 3
Let f(h) = -7*h**2 - 2*h + 1. Let x(a) = 4*a**3 + 210*a**2 + 4512*a + 16826. Let y(j) = 6*f(j) - x(j). Let y(u) = 0. What is u?
-29, -5
Let p(w) be the second derivative of -w**4/66 + 7*w**3/3 + 158*w**2/11 + 30*w + 11. Factor p(r).
-2*(r - 79)*(r + 2)/11
Let x(c) be the first derivative of 3*c**5/20 - 7*c**4/24 - c**3/3 + 70*c**2 + 5. Let y(h) be the second derivative of x(h). Factor y(v).
(v - 1)*(9*v + 2)
Suppose -167444*p = -167435*p. Let g(z) be the third derivative of -3*z**2 - 1/100*z**5 + 1/24*z**4 + p + 0*z + 1/15*z**3. Factor g(v).
-(v - 2)*(3*v + 1)/5
Let p be (-14)/(98/105)*2/(-6). Let 72*z - 72*z + 10*z**4 - 5*z**5 - 10*z**2 + p*z**3 = 0. Calculate z.
-1, 0, 1, 2
Let j = -791/9 - -3167/36. Let o(k) be the third derivative of 5*k**2 + 0 + 0*k**6 + 0*k**3 + 1/42*k**7 - j*k**5 + 0*k + 0*k**4. Let o(t) = 0. What is t?
-1, 0, 1
Let l be 1*(238/56 - 4). Let j(g) be the first derivative of -1/4*g + 5 + 1/16*g**4 - l*g**3 + 3/8*g**2. Suppose j(k) = 0. What is k?
1
Factor 136*z**2 + 10*z**4 - 4*z**3 + 9*z**4 + 8*z**4 + z**5 - 140*z**2 - 26*z**4.
z**2*(z - 2)*(z + 1)*(z + 2)
Let s(d) be the third derivative of -d**6/540 + 19*d**5/135 + 50*d**4/9 - 5*d**2 + 652*d. Find r such that s(r) = 0.
-12, 0, 50
Let q(d) = 5*d - 63. Let f be q(13). Factor 4*i + 41*i - 3*i**f - 19*i.
-i*(3*i - 26)
Let m(v) = 13*v**2 + 3366*v - 564474. Let i(f) = -29*f**2 - 6733*f + 1128947. Let r(w) = 6*i(w) + 13*m(w). Factor r(o).
-5*(o - 336)**2
Let a = 15107109/44 + -54461793709/158620. Let n = 2/721 - a. Find x, given that -18/5*x**2 + n*x - 3/5 = 0.
1/6, 1
Let y(x) = x**2 - 2*x + 3. Let d(k) = 2*k**3 + 24*k**2 + 90*k - 124. Let c(n) = -d(n) - 4*y(n). Determine b so that c(b) = 0.
-8, -7, 1
Let u(x) = x**3 - 28*x**2 - 171*x + 3332. Let r be u(30). Factor 38*m + 1517/4*m**r + 1369/4*m**3 + 1.
(m + 1)*(37*m + 2)**2/4
Let v(k) be the second derivative of -3*k**5/80 + 83*k**4/16 + 541*k**3/8 - 1869*k**2/8 - 102*k - 29. Factor v(r).
-3*(r - 89)*(r - 1)*(r + 7)/4
Let b(a) = a**3 - 27*a**2 - 2*a + 58. Let v be b(27). Solve 2*q**4 + 27*q + 8*q**5 - 18*q**2 - 12*q**3 - 11*q**5 + v*q**5 = 0.
-3, 0, 1, 3
Let x(f) be the third derivative of 11/20*f**6 - 6/35*f**7 + 21/5*f**5 + 1/112*f**8 + 0*f + 49/8*f**4 + 0 + 0*f**3 + 63*f**2. Suppose x(l) = 0. Calculate l.
-1, 0, 7
Let l(u) = 4*u**2 + 10*u - 18. Let g be l(4). Suppose 26 = -3*p + g. Factor 5234 + 5*d**5 - 5234 + 20*d**3 + p*d**4.
5*d**3*(d + 2)**2
Suppose -5*q = -c - 89, -5*q = 2*c + 116 + 62. Let l = c - -179/2. Let -15/2*s + l - 125/2*s**3 + 75/2*s**2 = 0. Calculate s.
1/5
Suppose 79*b + 14 = 3*f + 83*b, 5*b = 5*f. Let y(s) be the first derivative of 4 + 8/3*s**3 + 0*s + 0*s**f + 0*s**4 - 6/5*s**5 - 1/3*s**6. Factor y(c).
-2*c**2*(c - 1)*(c + 2)**2
Factor 722/11*b**2 + 147968/11 - 20672/11*b.
2*(19*b - 272)**2/11
Let p(b) be the second derivative of -2*b + 149/120*b**4 - 23/15*b**3 - 13/25*b**5 + 29/300*b**6 - 1/210*b**7 - 6 + b**2. Find j, given that p(j) = 0.
1/2, 1, 2, 10
Let g be 40/342 + 470/4465. Let x(q) be the first derivative of -1/6*q**4 + g*q**3 + 0*q + 2/3*q**2 + 14. Suppose x(s) = 0. Calculate s.
-1, 0, 2
Factor w**3 - 10/9 + 3*w - 1/9*w**4 - 25/9*w**2.
-(w - 5)*(w - 2)*(w - 1)**2/9
Let w(h) = -10*h**3 + 58*h**2 - 341*h - 121. Let i(o) = o**3 + o**2. Suppose 7*f + 71 = -174. Let s(j) = f*i(j) - 5*w(j). Factor s(k).
5*(k - 11)**2*(3*k + 1)
What is y in 84*y**4 + 3424/9*y**2 + 320/9 - 192*y + 12*y**5 - 320*y**3 = 0?
-10, 2/3, 1
Suppose -20*w = 9 - 69. Factor -1 + 0*d**2 - 13*d**2 + 46 - 27*d**2 - 75*d + 80*d**w.
5*(d + 1)*(4*d - 3)**2
Let j(l) be the second derivative of -1/14*