*c(w) + 33*d(w). Factor z(f).
3*f*(f - 3)*(f + 2)
Let f(u) = 1 + 269*u**2 - u + 0*u - 268*u**2. Let l(r) = -4*r**2 - 122*r - 124. Let k(m) = 2*f(m) + l(m). Factor k(p).
-2*(p + 1)*(p + 61)
Let n(a) be the first derivative of a**6/40 + a**5/5 + 3*a**4/8 + 19*a**2/2 + 37. Let d(m) be the second derivative of n(m). Factor d(f).
3*f*(f + 1)*(f + 3)
Let x(f) be the second derivative of -f**5/60 - 3*f**4/4 + 2*f**3/9 + 18*f**2 + 3*f - 351. Let x(m) = 0. What is m?
-27, -2, 2
Let b be (-18)/2 - (-18928)/1638. Suppose 67/9*z**4 + b*z**2 + 4/3*z**5 - 116/9*z**3 + 14/9*z + 0 = 0. Calculate z.
-7, -1/4, 0, 2/3, 1
Let w(n) be the first derivative of 3*n**4/2 + 1522*n**3/3 - 254*n**2 + 2945. What is p in w(p) = 0?
-254, 0, 1/3
Factor 633*c - 289*c**2 + 249*c**2 - 300*c**2 - 348*c + 699*c + 4*c**3.
4*c*(c - 82)*(c - 3)
Let s(t) be the first derivative of -2*t**5/5 + 31*t**4 + 272*t**3 + 9785. Factor s(v).
-2*v**2*(v - 68)*(v + 6)
What is f in -92*f**2 + 65*f**2 + 7*f**2 - 930*f - 3640 + 10*f**2 + 5*f**2 = 0?
-182, -4
Let r = 11 + 16. Suppose 5 - 71*u + 3 - 28*u**3 + r*u + 64*u**2 + 0 = 0. Calculate u.
2/7, 1
Determine w so that 6151*w**4 - 384 - 1207*w**3 + 2*w**5 + w**5 - 1720*w - 6276*w**4 - 1980*w**2 + 337*w**3 = 0.
-2, -1/3, 48
Let d(w) be the third derivative of 1/90*w**5 + 20/9*w**3 + 0*w + 28*w**2 + 0 - 1/3*w**4. Solve d(l) = 0 for l.
2, 10
Let b(h) be the third derivative of -h**8/1176 - h**7/735 + 2*h**6/105 + 4*h**5/105 - 4*h**4/21 - 16*h**3/21 - 5*h**2 + 101. Find z, given that b(z) = 0.
-2, -1, 2
Suppose 19 + 7 = 17*b - 25. Let l(s) be the third derivative of -s**2 + 0*s - 1/7*s**4 + 1/2*s**b + 1/140*s**5 + 0. Suppose l(r) = 0. Calculate r.
1, 7
Let a(b) be the third derivative of 16*b + 8/3*b**6 + 6*b**2 - 224/3*b**3 + 40*b**4 + 1/84*b**8 - 40/3*b**5 - 2/7*b**7 + 0. Factor a(s).
4*(s - 7)*(s - 2)**4
Solve 5020*k - 3*k**2 - 4801*k + 0*k**2 - 292 - 338 = 0.
3, 70
Let a(l) be the first derivative of -228 - 26/5*l**2 - 2*l**4 + 6/5*l + 86/15*l**3. Factor a(s).
-2*(s - 1)**2*(20*s - 3)/5
Let b(g) = -g**2 - 238*g + 9869. Let v be b(36). Let -640/9*i - 722/9*i**2 - 46/9*i**4 - 326/9*i**3 - 2/9*i**v - 200/9 = 0. Calculate i.
-10, -1
Let p = -575137 - -575140. Find g such that 1/3 + 1/3*g**p + g + g**2 = 0.
-1
Let z(v) be the first derivative of v**7/420 - 7*v**6/90 + v**5 - 6*v**4 - 5*v**3/3 + v**2 - 127. Let m(x) be the third derivative of z(x). Factor m(d).
2*(d - 6)**2*(d - 2)
Let 1/6*d**5 + 0 + 17/6*d**3 - 14/3*d**2 + 0*d + 5/3*d**4 = 0. Calculate d.
-7, -4, 0, 1
Determine q, given that -1348/5*q + 227138/5 + 2/5*q**2 = 0.
337
Let s = 110 - 107. Let p be (s + -4)/((-154)/66). Factor p*j**2 + 24/7*j + 36/7.
3*(j + 2)*(j + 6)/7
Let v(t) = t**2 + 4*t - 7. Let d be v(2). Let c(q) = -q**3 + 3*q**2 + 12*q - 8. Let y be c(d). What is z in -3 - 2 + 4 - z - z**y + 3 = 0?
-2, 1
Let i(d) be the first derivative of d**6/1620 - d**5/540 - d**4/54 + 13*d**3/3 - d**2/2 - 73. Let f(k) be the third derivative of i(k). Factor f(t).
2*(t - 2)*(t + 1)/9
Factor -4/7*l**3 + 264/7*l**2 + 0 + 0*l.
-4*l**2*(l - 66)/7
Let c(r) = 2*r**3 + 2*r**2 + 3. Let l(f) = 7*f**3 + 10*f**2 - 16*f - 55. Let i(o) = -3*c(o) + l(o). Factor i(s).
(s - 4)*(s + 4)**2
Let d(b) = 2*b**2 - 1032*b + 133095. Let u(a) = a**2 - 516*a + 66546. Let x(p) = 6*d(p) - 11*u(p). Factor x(s).
(s - 258)**2
Let n(q) be the second derivative of -q**4/66 - 106*q**3/33 + 216*q**2/11 + 447*q. Factor n(s).
-2*(s - 2)*(s + 108)/11
Suppose -20*d + 507 = 19*d. Let q = 4 + -1. Factor -d*x**3 + 5*x**q - 2*x**2 - 2*x**3 - 8*x**4 - 2*x**2 - 2*x**5.
-2*x**2*(x + 1)**2*(x + 2)
Let n(h) be the first derivative of -17*h**5/25 - 33*h**4/20 - 16*h**3/15 - 1978. Determine p so that n(p) = 0.
-1, -16/17, 0
Let c(f) be the third derivative of -f**6/120 - 41*f**5/30 + 167*f**4/24 - 14*f**3 - 315*f**2 - 3*f. Factor c(g).
-(g - 1)**2*(g + 84)
Let a(z) be the second derivative of -32*z**6/15 + 1864*z**5/5 - 929*z**4/3 + 232*z**3/3 + 3193*z. Factor a(o).
-4*o*(o - 116)*(4*o - 1)**2
Suppose -3344 = -7880*z + 7044*z. Determine l so that -15/4*l**3 - 18*l**2 + 0 - 27*l - 1/4*l**z = 0.
-6, -3, 0
Let v = -415 - -414. Let r(z) = -5*z**2 + 25*z - 70. Let j(t) = -3*t + 1. Let q(o) = v*r(o) + 5*j(o). Suppose q(i) = 0. What is i?
3, 5
Let u(z) be the first derivative of 9/20*z**4 - 13/5*z**3 + 4*z**2 + 51 - 12/5*z. Factor u(q).
(q - 3)*(3*q - 2)**2/5
Let 54*s + 47*s - s**2 + 54*s + 2 - 36*s - 236 = 0. Calculate s.
2, 117
Let x(j) be the third derivative of -j**7/1260 + 13*j**6/360 - 8*j**5/15 + 2*j**4 + 1256*j**2. Find w such that x(w) = 0.
0, 2, 12
Let -139/5*h**2 - 137/5*h**3 + 137/5*h + 1/5*h**4 + 138/5 = 0. What is h?
-1, 1, 138
Let m(v) = 42*v**4 - 98*v**3 + 52*v**2 - 26. Let z(q) = 21*q**4 - 48*q**3 + 24*q**2 - 12. Let k(y) = 6*m(y) - 13*z(y). Suppose k(p) = 0. Calculate p.
0, 12/7
Let v be (0 - 0)*(10948/(-6440) + (-12)/(-10)). Solve -4/5*f - 2/5*f**2 + v = 0.
-2, 0
Find t such that -t**2 - 5092*t - 6*t**2 + 3*t**2 - 4*t**2 + 4*t**2 = 0.
-1273, 0
Let t be 10/4*(-22)/(-55)*3/9. Factor 5/3*d**3 + 0 + d - 7/3*d**2 - t*d**4.
-d*(d - 3)*(d - 1)**2/3
Let j be ((-24425)/7700 - (-143)/44)/(6/28). What is z in -2/11*z - 2/11*z**2 + j = 0?
-2, 1
Let r(z) = 30*z**4 + 87*z**3 - 52*z**2 - 105*z + 2. Let t(y) = y**3 - y**2 + 1. Let n(j) = -r(j) + 2*t(j). Suppose n(s) = 0. Calculate s.
-3, -1, 0, 7/6
Let g be (-146 - -142)*(-27)/(-30)*-1. Factor g - 21/5*f + 3/5*f**2.
3*(f - 6)*(f - 1)/5
Suppose 3*h**4 - 3026 + 1646 + 10*h**3 + 701 + 3546*h - 753*h**2 - 4073 + 14*h**3 = 0. Calculate h.
-22, 3, 8
Suppose 0 = -216*x - 177*x - 250*x + 500*x. Factor 6/7*f**2 + 0*f**3 - 2/7*f**4 + x - 4/7*f.
-2*f*(f - 1)**2*(f + 2)/7
Let s(q) = -3*q**2 + 13*q - 284. Let r be s(20). Let c = r + 1227. Factor 0 + f + 1/2*f**2 - 3*f**c.
-f*(2*f + 1)*(3*f - 2)/2
Let j(t) be the second derivative of -1/80*t**5 - 149 + 1/120*t**6 - 1/2*t**2 + 2*t - 11/24*t**3 - 3/16*t**4. Factor j(y).
(y - 4)*(y + 1)**3/4
Let m(d) be the second derivative of d**7/11340 + d**6/216 + 7*d**5/270 - 37*d**4/6 - 86*d. Let l(s) be the third derivative of m(s). Factor l(y).
2*(y + 1)*(y + 14)/9
Let u = 166 - -207. Factor 3*v**2 + 421*v + 0*v**2 - v**2 - u*v + 288.
2*(v + 12)**2
Let u(n) = -880*n**2 + 102*n + 31. Let g(v) = 3120*v**2 - 357*v - 108. Let h(w) = 5*g(w) + 18*u(w). Solve h(a) = 0.
-3/16, 2/5
Let g = 218 + -202. Factor 138*k**3 - 8*k**5 + 21*k**5 - 90*k**3 - g*k - 59*k**2 + 4 + 11*k**4 - 89*k**3.
(k - 2)*(k + 1)**3*(13*k - 2)
Let u(k) = 14*k - 263. Let w be u(19). Suppose 14*b = -w*l + 11*b + 18, 3*l - 2 = b. Solve 2/5*v**4 - 3/5*v**3 + 0*v - 2/5*v**l + 0 = 0 for v.
-1/2, 0, 2
Let k(x) = x**3 - 20*x**2 - 22*x + 21. Let f be k(21). Let y(a) be the third derivative of 0 + 1/4*a**4 + 15*a**2 + f*a - 1/6*a**5 + 0*a**3. Factor y(c).
-2*c*(5*c - 3)
Let f be 1736/(-744) - (-1 + -4 + 1 + 1). Let a be (1/2)/(2/8). Factor -f*p**4 - 6*p**3 + 2/3*p**5 - 8/3*p + 0 - 22/3*p**a.
2*p*(p - 4)*(p + 1)**3/3
Let j = -350/23 - -2246/69. Let m(d) be the first derivative of 4/5*d**5 + 16*d + j*d**3 + 6*d**4 - 12 + 24*d**2. What is v in m(v) = 0?
-2, -1
Let k be -100 - (-31)/(186/72). Let v be (-13)/(-26) + (-20)/k. Solve -2/11*b**2 + 10/11 - v*b = 0.
-5, 1
Let l(q) = q**4 - 22*q**3 - 289*q**2 - 979*q - 1024. Let r(g) = -g**2 + 13*g. Let f(t) = -3*l(t) + 3*r(t). Factor f(x).
-3*(x - 32)*(x + 2)*(x + 4)**2
Let c(j) = 16*j**4 - 38*j**3 + 38*j**2 - 18*j + 6. Let h(q) = -5*q - 14. Let i be h(-3). Let d(z) = -z**4 + z**2 - 1. Let g(b) = i*c(b) + 4*d(b). Factor g(t).
2*(t - 1)**3*(6*t - 1)
Let v = -2/1129403 + 36140914/10164627. What is x in v*x**2 + 10/9*x**4 + 0 + 38/9*x**3 - 8/9*x = 0?
-2, 0, 1/5
Let c(b) be the first derivative of b**4/2 - 20*b**3/3 + 21*b**2 + 7974. Let c(v) = 0. What is v?
0, 3, 7
Let v(c) be the second derivative of -c**4/36 - c**3/18 + 28*c**2/3 - 1824*c. Factor v(g).
-(g - 7)*(g + 8)/3
Let h(p) be the third derivative of -p**6/360 - 11*p**5/90 - 7*p**4/24 + p**2 + 26*p - 5. Factor h(i).
-i*(i + 1)*(i + 21)/3
Let p(j) be the third derivative of 0 + 2*j - 1/270*j**5 - 3*j**2 - 1/27*j**3 + 1/54*j**4. Suppose p(u) = 0. Calculate u.
1
Suppose 5*i - 2*p + 65 = 3*p, 4*i - 236 = -14*p. Let 10/3*m**i - 40/3*m - 2/3*m**4 + 16 - 4/3*m**2 = 0. What is m?
-2, 2, 3
Solve 12*t**5 - 857*t**2 - 143*t**2 + 525*t**