*3/3 - 414*n**2 + 824*n + 560. Factor d(c).
4*(c - 206)*(c - 1)
Let p = -14 + 16. Suppose -i - 2*f = -p*i - 3, 12 = 3*f. Factor 16*h**3 - i*h**2 + 2*h**2 + 3*h**2 - 4*h**5.
-4*h**3*(h - 2)*(h + 2)
Let h(s) be the third derivative of -s**6/480 + 31*s**5/120 + 127*s**4/96 + 8*s**3/3 + 701*s**2 - 2. Factor h(c).
-(c - 64)*(c + 1)**2/4
Factor 162*a + 2*a**2 - 347*a + 102*a + 193*a.
2*a*(a + 55)
Let m be ((-48)/20)/(15/(-125)). Factor -m*c + 4*c**3 - 1 - 2 - 7 - 4*c**2 - 2.
4*(c - 3)*(c + 1)**2
Let z(y) = 14*y + 201. Let w be z(-14). Let 18*v**3 - 3*v**4 - 65*v**w + 49*v**5 + 13*v**5 = 0. What is v?
-3, 0, 2
Let j(o) be the third derivative of o**8/1176 - 257*o**7/735 + 10559*o**6/210 - 237007*o**5/105 - 6455615*o**4/84 - 17624225*o**3/21 - 6780*o**2. Factor j(r).
2*(r - 89)**3*(r + 5)**2/7
Let v(p) be the third derivative of -p**7/1995 - p**6/20 - 781*p**5/570 + 319*p**4/76 + 1682*p**3/57 - 16*p**2 - 27*p + 2. Solve v(w) = 0 for w.
-29, -1, 2
Let y = 44343 + -44339. Factor 0*d + 4/7*d**3 - 8/7*d**2 + 4/7*d**y + 0.
4*d**2*(d - 1)*(d + 2)/7
Determine s so that -137 - 63*s + s**2 + 88 - 81 = 0.
-2, 65
Let a(i) be the first derivative of -i**4/21 + 26*i**3/21 + 119*i + 21. Let x(u) be the first derivative of a(u). Find m, given that x(m) = 0.
0, 13
Let h(u) = 12*u**5 + 12*u**4 + 21*u**3 + 17*u**2 + 15*u + 11. Let y(j) = -j**5 - 2*j**4 + j**3 - 5*j**2 - 1. Let d(m) = 2*h(m) + 22*y(m). What is s in d(s) = 0?
0, 1, 3, 5
Let r be -6 - (9/(-12))/(14/168). Factor -22*g**r + 17*g**3 + 0*g**3.
-5*g**3
Let t be (-1 + 1)/(6/(-3)). Suppose 6*i + 11 - 23 = t. Factor -d**2 - i*d + 0*d**2 - 34 + 37.
-(d - 1)*(d + 3)
Let b(c) be the second derivative of c**5/16 + 3685*c**4/48 + 2530*c. Factor b(j).
5*j**2*(j + 737)/4
Suppose 236*i - 2356 = 4. Factor 6*t - i - 1/2*t**2.
-(t - 10)*(t - 2)/2
Let x = -2031 - -2031. Let w(d) be the second derivative of 8*d - 2/3*d**6 - 5/6*d**4 + 0 - 5/42*d**7 + 0*d**3 - 5/4*d**5 + x*d**2. Factor w(b).
-5*b**2*(b + 1)**2*(b + 2)
Let a(b) = 76*b**2 + 192*b + 132. Let i(g) = -25*g**2 - 63*g - 44. Let w(d) = -3*a(d) - 8*i(d). Factor w(v).
-4*(v + 1)*(7*v + 11)
Let k(i) be the second derivative of 3*i**5/80 + 7*i**4/16 + 5*i**3/4 + 1533*i. Suppose k(y) = 0. What is y?
-5, -2, 0
Let r(j) = -j**3 + 23*j**2 + 51*j - 23. Let a(n) = 7*n - 38. Let o be a(9). Let f be r(o). Factor -d**f + 7*d + 5*d - 4*d - 7.
-(d - 7)*(d - 1)
Let a be 385/(-1155) - (-2)/6. Let w(d) be the third derivative of -2/35*d**7 + 0*d**6 + 11/20*d**5 + d**3 + 0*d + a - 9/8*d**4 + 16*d**2. Solve w(y) = 0 for y.
-2, 1/2, 1
Factor -8*b**2 - 44467*b**3 + 2*b**4 + 44497*b**3 + 2*b**5 + 14*b**4 - 40*b.
2*b*(b - 1)*(b + 2)**2*(b + 5)
Let u be -5 + (37/10 - (2 + 70/(-20))). Let v(h) be the second derivative of 0 - 2/5*h**2 - 2/5*h**3 - u*h**4 - 1/25*h**5 - 9*h. What is n in v(n) = 0?
-1
Let x(h) be the second derivative of -1/30*h**4 + 16 + 2/5*h**2 - 2*h + 1/15*h**3. Factor x(u).
-2*(u - 2)*(u + 1)/5
Factor -3164*b - 173 + 1400*b + 4*b**3 + 1568*b - 12*b**2 - 7.
4*(b - 9)*(b + 1)*(b + 5)
Let v(c) be the third derivative of 0*c**3 + 3*c**2 + 1/110*c**5 + 12 - 1/66*c**4 + 1/132*c**6 + 0*c. Suppose v(u) = 0. What is u?
-1, 0, 2/5
Let w = -143999/5 - -28800. Find x such that 1/5*x + 0 - w*x**2 = 0.
0, 1
Let f = 29070435/19414852 - -6/4853713. Let u = f + 3/1124. Factor 0 - u*m**2 - 6*m.
-3*m*(m + 4)/2
Suppose 0 = 6*k + 12*k - 198. Let z be (k - 0) + (3 - 8). Suppose -11/2*j + 1/2*j**2 - z = 0. Calculate j.
-1, 12
Let u(j) = -j**4 - j**3 + j**2. Let a(c) = -4*c**4 - 55*c**3 - 619*c**2 + 1404*c - 729. Let v(m) = a(m) - 3*u(m). Factor v(h).
-(h - 1)**2*(h + 27)**2
Let c be (-46)/23*7/2. Let u(z) = -17*z - 116. Let p be u(c). Determine d so that -5/3*d**p + 5/3 - 5/3*d**2 + 5/3*d = 0.
-1, 1
Factor 0 - 240*w - 110/3*w**3 + 5/3*w**4 + 175*w**2.
5*w*(w - 16)*(w - 3)**2/3
Determine t so that -240/7 + 4/7*t**2 + 44/7*t = 0.
-15, 4
Suppose -5*j + 65 = -5*c + 50, -33 = -11*j - 3*c. Find i such that 6/11*i**j - 18/11 - 30/11*i - 6/11*i**2 = 0.
-1, 3
Let m be -2 + -7 + 572/(-52). Let a be ((-15)/m)/((-5 - -6)/4). Factor 0*x**2 + 2/3*x**a + 0*x**4 + 0 + 0*x - 2/3*x**5.
-2*x**3*(x - 1)*(x + 1)/3
Let k(u) be the third derivative of -u**6/120 + 3*u**5/4 - 27*u**4/2 - 4*u**2 + 11*u + 4. Factor k(n).
-n*(n - 36)*(n - 9)
Let y(m) be the first derivative of 7/2*m**2 - m**3 - 5 + m. Let w(k) = k**2 - 3*k. Let q(h) = -15*w(h) - 6*y(h). Factor q(o).
3*(o - 1)*(o + 2)
Let z(d) be the second derivative of -729/10*d**2 + 0 - 46*d - 45/2*d**3 - 1/100*d**5 + 53/60*d**4. Let z(r) = 0. Calculate r.
-1, 27
Let f(u) be the third derivative of -u**5/75 - 83*u**4/30 - 32*u**3 - 204*u**2 + u. Factor f(i).
-4*(i + 3)*(i + 80)/5
Let i be 10 + 795/18 - 32/192. Determine a, given that -6/5*a**3 - 126/5*a**2 + i*a - 138/5 = 0.
-23, 1
Let s(z) = 15*z**2 - 5070*z - 5195. Let a(c) = -c**2 + 362*c + 371. Let v(j) = -55*a(j) - 4*s(j). Factor v(x).
-5*(x - 75)*(x + 1)
Let l be 5/10*-4 - 1. Let b(k) = -4*k - 8. Let j be b(l). Factor 8*u**3 - 5*u**j - u**3 - u**3 - u**3.
-5*u**3*(u - 1)
Suppose -29 = 2*p - 35. Suppose -6*t + 5*s = -7*t - 15, s = 2*t - p. Find m, given that t + 9/2*m + 3/2*m**2 = 0.
-3, 0
Let i be (-678)/7 - (-102)/119. Let w be 8/10*(-30)/i. Factor 0 + w*p**3 - p**2 - p + 1/4*p**4.
p*(p - 2)*(p + 1)*(p + 2)/4
Let o(w) be the third derivative of 7*w**5/80 - 15*w**4/16 + 4*w**3 + 533*w**2. Factor o(a).
3*(a - 2)*(7*a - 16)/4
Let y = 1367/21 + -65. Suppose -z - 2*c = -12, 3*z - 2*c - 2*c + 14 = 0. Factor 4/21*f**z - 4/21 + y*f - 2/21*f**3.
-2*(f - 2)*(f - 1)*(f + 1)/21
Let a be 0/((-1)/(-1)) - (-42)/14. Let k be a + (-2)/20*26. Let 0 - 2/5*q**2 + 6/5*q**3 - 4/5*q - 2/5*q**5 + k*q**4 = 0. Calculate q.
-1, 0, 1, 2
Let x = -451 - -447. Let y be (x + 12)*2/14. What is c in -90/7*c**2 - 50/7*c**3 - 48/7*c - y = 0?
-1, -2/5
Let i(m) be the first derivative of -16/9*m + 56 - 2/27*m**3 + 2/3*m**2. Find f such that i(f) = 0.
2, 4
Let y be -2 + 0 + 4/2. Suppose 373*u - 25 = 188*u + 180*u. Let y*w**3 + 0*w + 2/7*w**u + 0 - 2/7*w**4 + 0*w**2 = 0. What is w?
0, 1
Let -2*w**3 + 107*w + 117/2*w**2 + 93/2 = 0. What is w?
-1, -3/4, 31
Suppose 73*l = 22*l + 24 + 129. Find k, given that 0 + 1/4*k**l + 0*k - 5/4*k**2 = 0.
0, 5
Let l(j) = -8*j**2 - 218*j + 446. Let q(f) = -18*f**2 - 435*f + 887. Let o(y) = 5*l(y) - 2*q(y). Solve o(m) = 0 for m.
-57, 2
Let d(n) be the first derivative of n**5/4 - 5*n**4/3 + 5*n**3/2 - 3*n - 65. Let m(p) be the first derivative of d(p). What is j in m(j) = 0?
0, 1, 3
Suppose 460 = -5*l - 3*c + 497, 3*l + 2*c = 24. Find f such that 16/5 - 2/5*f**l + 4/5*f = 0.
-2, 4
Let i(t) be the third derivative of -1/630*t**7 + 0 + 0*t**3 - 1/36*t**4 + 1/180*t**5 + 104*t**2 + 1/180*t**6 + 0*t. Factor i(v).
-v*(v - 2)*(v - 1)*(v + 1)/3
Let l(p) be the first derivative of p**6/6 + 7*p**5/15 - 27*p**4/2 + 30*p**3 + 171*p**2 - 245. Let x(f) be the second derivative of l(f). What is n in x(n) = 0?
-5, 3/5, 3
Let y(i) be the first derivative of 3*i**6/13 + 646*i**5/65 - 369*i**4/26 + 74*i**3/39 + 798. Suppose y(n) = 0. What is n?
-37, 0, 1/9, 1
Let h be 3/5*(-20)/16*-4. Suppose -35*u**3 + 12872*u**5 - 12870*u**5 + h*u**3 = 0. What is u?
-4, 0, 4
Let d(b) be the third derivative of -7/16*b**4 + 8*b - 1/60*b**6 + 0 - 16*b**2 - 7/40*b**5 - 1/3*b**3. Factor d(a).
-(a + 1)*(a + 4)*(4*a + 1)/2
Let x(u) be the third derivative of -u**5/510 - 71*u**4/102 - 139*u**3/17 + 6994*u**2. Determine j so that x(j) = 0.
-139, -3
Let r(h) be the third derivative of -h**6/600 + h**5/300 + h**4/30 - 2*h**3/15 + 1250*h**2. Find j such that r(j) = 0.
-2, 1, 2
Let n be (-75)/20*(-16)/48. Let z(u) be the first derivative of 25/2*u**2 + 5*u**3 - n*u**4 + 10*u - 5 - u**5. Solve z(k) = 0.
-1, 2
Let t(p) be the third derivative of p**7/840 + p**6/72 + 7*p**5/120 + p**4/8 + 4*p**3/3 + 24*p**2. Let s(v) be the first derivative of t(v). Factor s(w).
(w + 1)**2*(w + 3)
Let z be 144 + -764 - (6 - (3 - 2)). Let c = z + 630. Let 0*a + 0*a**4 + 9/2*a**3 - 3/2*a**c + 0 + 3*a**2 = 0. Calculate a.
-1, 0, 2
Suppose 4*j - 3535*u - 17 = -3536*u, -j - 3*u = -7. Find t such that 2/3*t - 4/9*t**2 + 2/9*t**5 + 4/9*t**j + 0 - 8/9*t**3 = 0.
-3, -1, 0, 1
Let b(v) = -26*v - 882. Let h be b(-34). Let d(p) be the first derivative of p**4 + 14*p**h - 12*p - 20/3*p**3 - 40. Det