ve of -55/3*p**3 + 6 + z*p - 45/2*p**2. Factor k(b).
-5*(b + 1)*(11*b - 2)
Let m(q) be the first derivative of q**5/240 + q**4/32 + q**3/12 + 57*q**2 + 221. Let z(u) be the second derivative of m(u). Factor z(n).
(n + 1)*(n + 2)/4
Let s be ((1984/(-96))/(-31))/(4/392). Factor 2/3*d**3 - 32/3*d**2 + 154/3*d - s.
2*(d - 7)**2*(d - 2)/3
Suppose 1007*m - 349*m + 17 - 17 = 0. Solve -1/2*z**5 + m + 1/2*z - z**2 + 0*z**3 + z**4 = 0 for z.
-1, 0, 1
Suppose 24*p + 240 = 104*p. Let n be -95*2*2/(-10). Find c, given that c**p - 3*c**2 + 73*c - 32*c - n*c - 1 = 0.
1
Suppose 0 = 4*j - 52 - 108. Factor -18 + j*y**2 - 82*y**2 + 3*y + 45*y**2.
3*(y - 2)*(y + 3)
Suppose -59 - 146 = -50*d + 45. Let f(b) be the third derivative of 3/4*b**4 - 1/210*b**7 + 0*b + 0 + 3/2*b**3 + 9*b**2 + 2/15*b**d - 1/60*b**6. Factor f(i).
-(i - 3)*(i + 1)**2*(i + 3)
Suppose -75 - 36*o - 10*o**2 + 4*o**3 + 115 - 9*o**2 + 7*o**2 - 60 = 0. What is o?
-1, 5
Let m = -284824 - -7976635/28. Let f = m - 382/7. Factor 5/4*l**4 - 5/4*l**2 + 5/4*l - f*l**3 + 0.
5*l*(l - 1)**2*(l + 1)/4
Let o(x) be the first derivative of -16129*x**6/12 + 80137*x**5/10 - 47119*x**4/4 - 1514*x**3/3 - 6*x**2 + 8312. Let o(b) = 0. Calculate b.
-2/127, 0, 2, 3
Let l = -1031137/2 - -515569. Let t be (-4)/(-2) + 3/(-2). Factor -l*j**2 + 0 + t*j.
-j*(j - 1)/2
Let s(u) = -1. Let r(h) = 4 - 5*h**2 + 4*h**2 + 5. Let a = 2503 + -2527. Let z(d) = a*s(d) - 3*r(d). Factor z(o).
3*(o - 1)*(o + 1)
Let a(h) be the third derivative of 1/4*h**5 + 2 + 5/12*h**4 + 0*h**3 + 1/24*h**6 + 9*h**2 + 0*h. Suppose a(n) = 0. Calculate n.
-2, -1, 0
Suppose 165 - 30 = s. Let 4*h**4 + 8*h + 129*h**2 - 8*h**3 - 5*h**4 - s*h**2 + 7 = 0. What is h?
-7, -1, 1
Factor 17/4 - 5/4*r**2 - 21*r.
-(r + 17)*(5*r - 1)/4
Let h be 270/189*(63/(-15))/(224/(-840)). Let h*u**3 + 1/2*u**5 + 27*u + 11/2*u**4 + 81/2*u**2 + 0 = 0. Calculate u.
-3, -2, 0
Let y(g) be the first derivative of 0*g**2 + 2/7*g**3 - 2/35*g**5 + 0*g - 1/7*g**4 + 30. Factor y(o).
-2*o**2*(o - 1)*(o + 3)/7
Let 1/9*s**2 - 286/3 + 67/9*s = 0. Calculate s.
-78, 11
Suppose -4*b = -623165 + 623153. Let 0 + 3/7*a**4 + 0*a**2 + 0*a + 3/7*a**b = 0. What is a?
-1, 0
Suppose -27*w + 19*w + 488 = 0. Solve 226*r - 95*r + 188 + w*r + 4*r**2 = 0 for r.
-47, -1
Suppose -3255*p + 5*p**3 + 96*p**2 + 87*p**2 + 6*p**2 + 12250 - 11*p**2 + 2*p**2 = 0. What is p?
-50, 7
Suppose 9*j + 1250 = 1340. Let q be 117/65 + 2/j. Factor -2*n**3 + 2/5*n**q + 2*n - 2/5*n**4 + 0.
-2*n*(n - 1)*(n + 1)*(n + 5)/5
Let x be 5/(-4)*(-5 + (-6)/(330/(-253))). Solve -3/2*f**3 + 0*f - f**4 + x*f**5 + 0 + 0*f**2 = 0 for f.
-1, 0, 3
Factor -9*p + 8*p**3 + 6*p**2 - 4*p**3 + 22*p**2 + 9*p.
4*p**2*(p + 7)
Factor -86/15*r**2 - 2/15*r**3 + 202/3*r - 530/3.
-2*(r - 5)**2*(r + 53)/15
Factor 354*s**2 - 2506*s**3 + 127*s**2 + 80 + 60 + 2513*s**3 - 628*s.
(s - 1)*(s + 70)*(7*s - 2)
Let h(f) be the second derivative of f**4/21 - 1168*f**3/21 - 48*f + 1. Factor h(o).
4*o*(o - 584)/7
Let f be 1/5*(0 + 4/8). Let n(c) be the second derivative of -1/50*c**6 + 0*c**5 + f*c**4 + 0 - 3/10*c**2 + 7*c + 0*c**3. Determine x so that n(x) = 0.
-1, 1
Let r be (-16)/(512/(-80))*12/(-45)*-6. Let x(h) be the second derivative of -r*h**2 - 5/3*h**3 - 1/6*h**4 + 0 + 5*h. Solve x(l) = 0.
-4, -1
Factor 228 - 45*z - 3/2*z**3 - 63/2*z**2.
-3*(z - 2)*(z + 4)*(z + 19)/2
Let f(t) be the first derivative of 10*t**3/3 + 495*t**2/2 - 12500*t + 8. Let y(b) = 7*b**2 + 496*b - 12500. Let j(q) = -4*f(q) + 5*y(q). Factor j(l).
-5*(l - 50)**2
Let z = -24/17 - -1169/816. Let r(m) be the third derivative of 0*m**3 - 4*m**2 + 0 + 1/480*m**5 - z*m**4 + 0*m. Factor r(u).
u*(u - 4)/8
Let u(p) be the first derivative of -4*p**5/25 - 7*p**4/10 + 58*p**3/15 - 8*p**2/5 - 24*p/5 + 2049. Find d, given that u(d) = 0.
-6, -1/2, 1, 2
Let l = 12 - -15. Suppose -2*h - b = -56, -110 + l = -3*h - b. Let 3*o**2 + 19 + 20 - h + 12*o = 0. Calculate o.
-2
Let a(q) be the second derivative of q**5/20 + 11*q**4/8 + 5*q**3 - 59*q**2 + 10*q. Let y(w) be the first derivative of a(w). Suppose y(t) = 0. Calculate t.
-10, -1
Let d(n) = -11*n**2 + 9*n - 4. Let a(x) = -7*x**2 + 6*x - 2. Let m = 114 + -119. Let c(w) = m*d(w) + 8*a(w). Factor c(u).
-(u - 4)*(u + 1)
Suppose 158*z - 143*z - 22 = 53. Let o(q) be the third derivative of -1/70*q**7 + 21*q**2 - 1/10*q**6 - 3/10*q**z + 0*q - 1/2*q**3 - 1/2*q**4 + 0. Factor o(l).
-3*(l + 1)**4
Let w(s) be the second derivative of -s**5/150 - s**4/45 + 7*s**3/45 - 4*s**2/15 - 1484*s. Factor w(l).
-2*(l - 1)**2*(l + 4)/15
Let g(k) be the first derivative of 3*k**4/4 - 441*k**2/2 - 2058*k + 82. Suppose g(m) = 0. Calculate m.
-7, 14
Let m(d) = -3*d + 9. Let h be m(0). Determine y, given that h*y**2 - 1642 + 442 - 4*y**2 - 120*y - 8*y**2 = 0.
-20
Let a(s) be the second derivative of -s**4/54 + 38*s**3/9 + 232*s**2/9 - 1433*s. Factor a(b).
-2*(b - 116)*(b + 2)/9
Let s(k) = -k**5 - k**3 - 2*k - 1. Let n(i) = 3*i**5 - 2*i**4 - 4*i**3 + 4*i**2 + 17*i + 8. Let b(d) = n(d) + 2*s(d). Suppose b(p) = 0. Calculate p.
-1, 2, 3
Let m(s) = -3*s**2 + 61*s - 258. Let z(b) = b + 1. Let v(w) = -m(w) + 2*z(w). Solve v(k) = 0 for k.
20/3, 13
Let u(o) = 11*o**2 + 105*o + 100. Let g = -589 + 595. Let r(n) = -155*n**2 - 1470*n - 1400. Let c(j) = g*r(j) + 85*u(j). What is y in c(y) = 0?
-20, -1
Let a be (55/(-44))/((-2)/8). Let 20 - 9123*t**2 + 8*t**4 + 80*t - 44*t**3 + 9091*t**2 + 4*t**a + 44 = 0. What is t?
-4, -1, 2
Let t(k) be the second derivative of 1/135*k**6 + 1/90*k**5 - 1/189*k**7 + k + 0*k**2 - 13 - 1/54*k**4 + 0*k**3. Determine s, given that t(s) = 0.
-1, 0, 1
Solve 52*d**2 - 975 - 25*d**2 - 23*d**2 - 484*d + 92 - 101 = 0.
-2, 123
Let t(v) be the second derivative of v**4/3 + 226*v**3/3 + 224*v**2 + 2270*v. Suppose t(w) = 0. What is w?
-112, -1
Let t(h) = -36*h**3 - 3668*h**2 + 2449*h - 398. Let i(a) = 54*a**3 + 5504*a**2 - 3674*a + 596. Let s(u) = -5*i(u) - 8*t(u). Factor s(n).
2*(n + 102)*(3*n - 1)**2
Let j(w) = 16*w - 428. Let x be j(27). Let c(s) be the second derivative of s**3 + 1/4*s**x - 9/2*s**2 - 18*s + 0. Factor c(g).
3*(g - 1)*(g + 3)
Let p = -647 - -649. Factor -t - 10*t**2 - 5*t**2 - 3*t**p + 42 + 17*t**2.
-(t - 6)*(t + 7)
Let j(r) be the second derivative of 2*r + 3/40*r**5 + 0*r**2 - 47 - 1/4*r**4 - 1/120*r**6 + 1/3*r**3. Let j(g) = 0. Calculate g.
0, 2
Factor 20/11*n + 2/11*n**2 + 48/11.
2*(n + 4)*(n + 6)/11
Let l(o) be the third derivative of o**6/120 - 41*o**5/12 + 442*o**4 - 1734*o**3 + o**2 + 156*o. Determine q so that l(q) = 0.
1, 102
Let c(x) be the third derivative of -x**5/180 + x**4/36 - x**3/18 - 219*x**2 - 5. Factor c(p).
-(p - 1)**2/3
Factor -18*n**3 - 7776 - 3/8*n**4 - 2592*n - 324*n**2.
-3*(n + 12)**4/8
Let v be ((-1856)/(-160) - (-4)/10)*1/((-60)/(-20)). Find j, given that -64/3*j - 16/3*j**2 + 16/3*j**3 + 0 + 4/3*j**v = 0.
-4, -2, 0, 2
Solve -3/2*k**2 - 39/2*k - 45 = 0 for k.
-10, -3
Let s = -627 - -1290. Factor 684*k + k**2 - s*k + 3*k**3 - 22*k**2 - 3*k**2.
3*k*(k - 7)*(k - 1)
Suppose 14*t = 17*t + 12*t. Let w(f) be the third derivative of -11*f**2 + 0*f**3 + t - 1/180*f**5 + 0*f + 1/72*f**4. Factor w(z).
-z*(z - 1)/3
Let h = -17/2 - -9. Let p(t) = 505*t - 3533. Let c be p(7). Suppose -8 - 4*q - h*q**c = 0. Calculate q.
-4
Let p(k) be the third derivative of k**6/96 - 3*k**5/16 + 5*k**4/16 + 10*k**3/3 - 25*k**2 - 2. Factor p(y).
5*(y - 8)*(y - 2)*(y + 1)/4
Let i = -68 - -74. Let s(o) be the first derivative of 16*o**3 - 5*o**3 + 6*o**2 - i*o**3 - 28 - 4*o**3 + 12*o. Determine d, given that s(d) = 0.
-2
Determine q, given that 62/5*q + 0 + 29/5*q**2 - 1/5*q**3 = 0.
-2, 0, 31
Let b(r) = -r**3 + r. Let d(m) = -8*m**2 - 24*m - 16. Let k = 79 + -78. Let f(q) = k*d(q) - 4*b(q). Determine j so that f(j) = 0.
-1, 4
Suppose -39*l = -18*l + 21. Let g be (4/(-49)*l)/((-10)/(-70)). Factor -12/7*n**2 + g*n + 8/7 + 4/7*n**4 - 4/7*n**3.
4*(n - 2)*(n - 1)*(n + 1)**2/7
Let w(j) = -164*j**2 - 3466*j - 1499914. Let s(x) = 901*x**2 + 17331*x + 7499571. Let b(n) = -4*s(n) - 22*w(n). Let b(g) = 0. Calculate g.
-866
Let c = -4113/17 + 33771/136. Suppose 15/4*m**2 - c*m + 3 - 3/8*m**3 = 0. Calculate m.
1, 8
Let r = -11009/4 - -2761. Let u(i) be the second derivative of 0*i**3 + 13*i - r*i**5 + 0 - 125/12*i**4 - 11/6*i**6 - 5/42*i**7 + 0*i**2. Factor u(t).
-5*t**2*(t + 1)*(t +