e of 0*t**2 + 0*t - 4/3*t**3 + 3 + 5/6*t**o + 13/5*t**5 + t**4. Factor d(i).
i**2*(i + 1)*(i + 2)*(5*i - 2)
Let y = 26786 + -26747. Let f(w) be the first derivative of 7/6*w**2 + 2/3*w - 4/9*w**3 - y. Factor f(q).
-(q - 2)*(4*q + 1)/3
Let x(a) be the third derivative of a**7/840 - a**6/48 - 29*a**5/80 - 3*a**4/2 + 8*a**2 - 650. Suppose x(u) = 0. What is u?
-3, 0, 16
Let y(p) = -3*p**2 - 61*p + 232. Let i(d) = 8*d**2 + 186*d - 704. Let z(r) = 5*i(r) + 14*y(r). Factor z(l).
-2*(l - 34)*(l - 4)
Let g = 369821 - 369818. Factor -1/2*j - 2 + 2*j**2 + 1/2*j**g.
(j - 1)*(j + 1)*(j + 4)/2
Let w(m) be the second derivative of -m**7/12600 - 7*m**6/3600 + m**5/75 - 2*m**4 - m**3/3 - 2*m - 11. Let q(g) be the third derivative of w(g). Factor q(z).
-(z - 1)*(z + 8)/5
Let b(m) = -3*m**2 - m. Let w(c) = 118*c - 118*c - c**2 + 4*c**2. Let s(l) = 4*b(l) + 3*w(l). Let u(r) = r**2 + 1. Let q(h) = s(h) + 4*u(h). Factor q(i).
(i - 2)**2
Let s(x) be the third derivative of 9*x**8/56 + 53*x**7/140 - 53*x**6/80 - 4*x**5/5 - x**4/4 - 4*x**2 + 62. Suppose s(k) = 0. Calculate k.
-2, -1/4, -2/9, 0, 1
Let l(u) be the third derivative of u**6/30 + 32*u**5/15 - 595*u**4/6 + 4508*u**3/3 - 6*u**2 - 22*u - 3. Factor l(q).
4*(q - 7)**2*(q + 46)
Suppose 0 = 11*x + 126 - 445. Suppose 38*n**2 + n**5 - 16*n + 12*n**3 + 32*n**3 - x*n - 18 + 12*n**4 - 32 = 0. What is n?
-5, -2, -1, 1
Let s(z) be the first derivative of -5*z**3/3 + 2785*z**2 - 1551245*z + 2231. Suppose s(o) = 0. What is o?
557
Let h(w) be the first derivative of 0*w**2 + 0*w - 16/15*w**3 + 127 + 0*w**4 - 2/15*w**6 + 12/25*w**5. Suppose h(t) = 0. What is t?
-1, 0, 2
Let x(l) be the first derivative of 4*l**3/3 - 4*l**2 - 12*l - 505. Let x(j) = 0. What is j?
-1, 3
Let y = -45 - -39. Let h be (-54)/(-36)*(-28)/y. Let k(p) = -p**2 + 6*p - 14. Let a(t) = t**2 - 6*t + 15. Let j(m) = h*k(m) + 6*a(m). Factor j(i).
-(i - 4)*(i - 2)
Let m(w) be the first derivative of 3*w**3 - 2967*w**2/2 - 990*w + 9172. Find s such that m(s) = 0.
-1/3, 330
Let p be (2*5/(-25))/((-1890)/4200). Find o such that p*o - 2/3*o**3 - 4/9*o**4 + 8/9*o**2 + 0 + 2/9*o**5 = 0.
-1, 0, 2
Let f(j) be the first derivative of j**7/70 + j**6/8 + j**5/10 - j**4 + 5*j**2 - 15. Let z(r) be the second derivative of f(r). What is p in z(p) = 0?
-4, -2, 0, 1
Suppose 22*q - 26*q + 60 = 0. Suppose 49 + q = 8*c. Let c*l + l**3 + 26*l - 17 - 30*l**2 + 5 + 7*l**3 = 0. Calculate l.
3/4, 1, 2
Let s(z) = 4*z - 6. Let d be s(4). Suppose 0*k - d*k + 20 = 0. Factor -32/9*r**k - 19/3*r - 5/9*r**3 - 2.
-(r + 3)**2*(5*r + 2)/9
Let s(b) be the third derivative of -11/6*b**3 + 65/72*b**4 + 0*b + 0 - 31/180*b**5 + 10*b**2 - 1/360*b**6. Factor s(v).
-(v - 1)**2*(v + 33)/3
Suppose r - 626 = 3*u - 650, -83 = 5*u + 12*r. Solve 0 + 4/3*k**u + 40/3*k**4 + 36*k**3 + 24*k**2 + 0*k = 0 for k.
-6, -3, -1, 0
Let i(o) = -o**2 - 280*o - 3908. Let c(s) = -5*s**2 - 1120*s - 15635. Let f = 408 - 393. Let g(y) = f*i(y) - 4*c(y). Factor g(x).
5*(x + 28)**2
Let i(v) be the first derivative of -2*v**3/21 + 111*v**2/7 - 1060*v/7 + 8611. Let i(k) = 0. What is k?
5, 106
Let t = 376/109 - -1973/218. Find z such that -t - 5/2*z**2 + 15*z = 0.
1, 5
Suppose 16*u - 624 = 736. Let i be u/(-51) + (-37)/(-9). Solve 0 - 10/9*g**2 + 4/9*g - i*g**3 - 8/9*g**4 = 0 for g.
-2, -1, 0, 1/4
Let m(y) = -3*y**2 - 308*y + 488. Let c(h) = h**2 + 148*h - 244. Let a(o) = 5*c(o) + 2*m(o). Factor a(k).
-(k - 122)*(k - 2)
Let p be (-1260651)/(-9765) + 12/(6 + -378). Solve -44*n**3 + 0 + 2662/15*n - 2/15*n**5 - p*n**2 - 64/15*n**4 = 0 for n.
-11, 0, 1
Let g(f) = 2*f**4 - 4*f**3 - 2*f. Let o = 120 + 296. Let m(p) = 416*p**2 - o*p**2 - 3*p**4 + p**5 + 3*p + 5*p**3. Let s(a) = -3*g(a) - 2*m(a). Factor s(u).
-2*u**3*(u - 1)*(u + 1)
Suppose 33/4*n**3 + 21/2*n**2 - 1793*n + 5082 - 1/4*n**4 = 0. What is n?
-14, 3, 22
Let b(r) be the first derivative of -r**3/15 - 14*r**2/5 - 52*r/5 + 735. Determine p so that b(p) = 0.
-26, -2
Let x(f) = 9*f**4 - 163*f**3 - 511*f**2 + 155*f + 514. Let k(m) = m**4 - 2*m**3 + m**2 + 1. Let t(r) = -4*k(r) + x(r). Determine n, given that t(n) = 0.
-3, -1, 1, 34
Let l = 2188/61 - 10879/305. Determine h so that 1/5*h - l*h**3 + 3/5*h**2 - 3/5*h**4 + 0 = 0.
-1, -1/3, 0, 1
Suppose 6 = 4*n - 10. Let k(z) = -143*z - 139. Let w be k(-1). Suppose -8*q**4 + 3*q**w + 14*q**3 - 2*q**5 - 7*q**n = 0. What is q?
-7, 0, 1
Let y be ((-370080)/(-104))/60 + -59. What is c in -y*c + 0 - 18/13*c**3 - 22/13*c**2 = 0?
-1, -2/9, 0
Let t(d) be the first derivative of 15*d**6/2 + 93*d**5 - 1615*d**4/4 - 685*d**3/3 + 195*d**2 - 1907. Let t(o) = 0. Calculate o.
-13, -2/3, 0, 1/3, 3
Let l(h) be the first derivative of -h**6/150 - h**5/20 - h**4/20 + 3*h**3/10 - 8*h - 38. Let t(b) be the first derivative of l(b). Factor t(z).
-z*(z - 1)*(z + 3)**2/5
Let m(d) = -6*d**2 - 80*d + 34. Let s(x) = -8*x**2 - 79*x + 22. Let f(l) = 5*m(l) - 4*s(l). Factor f(v).
2*(v - 41)*(v - 1)
Let v(z) be the first derivative of -z**5/20 + 5*z**4/8 + 3*z**3 - 12*z**2 + 2*z + 33. Let k(o) be the second derivative of v(o). Suppose k(m) = 0. What is m?
-1, 6
Let 23*g**2 + 175*g**3 - 172*g**3 + 180*g - 11 + 11 + 28*g**2 = 0. Calculate g.
-12, -5, 0
Let f(r) = -31 + 31 + 2*r. Let y be f(3). Factor 6 + y*k - 3*k**2 - 2*k - k.
-3*(k - 2)*(k + 1)
Let i be (2 - (-1 - 7)) + -7. Let u(l) be the first derivative of 0*l**2 - 9/4*l**4 - 3/10*l**5 - 9/2*l**3 + 0*l + i. Solve u(p) = 0 for p.
-3, 0
Let d be -3 - 2 - (-7866)/1449. Let p be (-9 + 3)*(-1)/3. Let -6/7*o**3 - d - 15/7*o**p - 12/7*o = 0. What is o?
-1, -1/2
Let x(v) = 31*v - 103. Let j be x(9). Factor -76 + j*w - 45 + 476*w + 28*w**2 + 305.
4*(w + 23)*(7*w + 2)
Let d(v) be the second derivative of 0*v**2 + 0*v**3 - 1/6*v**6 + 15/2*v**4 - 17/4*v**5 - 12 + 3*v. What is c in d(c) = 0?
-18, 0, 1
Let d(p) be the first derivative of -p**6/40 - p**5/20 + p**4/8 - 31*p**3/3 + 9. Let x(s) be the third derivative of d(s). Factor x(w).
-3*(w + 1)*(3*w - 1)
Suppose 5*l = z + 3881 - 922, 12 = -3*z. Let v = l - 588. Factor 3/2 - 3/2*s**4 - v*s + 0*s**2 + 3*s**3.
-3*(s - 1)**3*(s + 1)/2
Let k(j) = 2*j**2 - 1472*j + 259202. Let r(w) = -2*w**2 + 1488*w - 259203. Let c(x) = 3*k(x) + 2*r(x). Let c(a) = 0. Calculate a.
360
Let z(l) = -2*l - 15. Let c be z(-10). Let i be -1 - -2 - (-4 - -3). Factor -11 - 124 + 95*v - 45*v**i + 40*v + c*v**3.
5*(v - 3)**3
Let i = -17 - -14. Let x(u) = -22*u**2 - 2*u - 8. Let v(j) = -7*j**2 - j - 3. Let k(o) = i*x(o) + 8*v(o). Find m such that k(m) = 0.
0, 1/5
Suppose 44*r + 45*r = 33*r. Let p be -2*(-44)/24 - (r - 7). Factor -p - 1/3*j**3 - 10/3*j**2 - 32/3*j.
-(j + 2)*(j + 4)**2/3
Let i be -9*1 - (-11)/880*724. Let h(o) be the third derivative of 0 - i*o**4 + 2/15*o**3 + 1/150*o**5 + o**2 + 0*o. Solve h(y) = 0.
1, 2
Let m(i) be the third derivative of -i**5/80 - 79*i**4/16 + 159*i**3/8 - 14*i**2 + 2. Factor m(x).
-3*(x - 1)*(x + 159)/4
Let i = -1361359 - -17706696/13. Let a = 695 - i. Factor 0 + a*m**3 + 2/13*m + 8/13*m**2.
2*m*(m + 1)*(3*m + 1)/13
Let o be (481/(-91) - -7) + 4/14. Let y be o/(-23) + 4434/207. Factor y*z**2 - 2*z + 28*z**4 - 22/3*z**5 - 4/3 - 116/3*z**3.
-2*(z - 1)**4*(11*z + 2)/3
Let c(u) be the third derivative of -u**7/630 + u**6/72 + 7*u**5/60 + 23*u**4/72 + 4*u**3/9 - 7595*u**2. Suppose c(y) = 0. What is y?
-1, 8
Let s be (19470/(-413) - -50) + (7 - 3) + 0. Factor -3*y**4 - 75/7*y**2 - 3/7*y**5 - 57/7*y**3 - 12/7 - s*y.
-3*(y + 1)**3*(y + 2)**2/7
Let y = 38 + -21. Suppose 4*t = -1 + y. Solve 6*v - 16*v**t - 6*v**3 - 6*v + 32*v**4 - 4*v**2 - 6*v**5 = 0 for v.
-1/3, 0, 1, 2
Factor 0 + 1664/9*n**2 + 1352/3*n + 110/9*n**3 + 2/9*n**4.
2*n*(n + 3)*(n + 26)**2/9
Let h be 8/(-20) + 0 - (-1506)/15. Let m = -2092/21 + h. Factor 2/7 + 2/21*p**2 + m*p.
2*(p + 1)*(p + 3)/21
Suppose 0 + 0*o - 17/2*o**2 - 15/4*o**3 + 1/4*o**4 = 0. Calculate o.
-2, 0, 17
Let a(g) be the second derivative of g**6/60 + 553*g**5/40 - 1109*g**4/24 + 185*g**3/4 - 2710*g. Factor a(d).
d*(d - 1)**2*(d + 555)/2
Let r(l) be the first derivative of -l**6/6 - 8*l**5/5 + 19*l**4/4 - 10*l**3/3 - 717. Determine j so that r(j) = 0.
-10, 0, 1
Suppose 13*t - 30*t - 63 = -26*t. Let z = 39 - 28. Factor 5*p**2 - t*p**3 - z*p**2 + 8 + 5*p**3.
-2*(p - 1)*(p + 2)**2
Let j(f) be the first derivative of -4*f**5/5 - 7*f**4 - 20*f**3 - 26