d**2 - 11*d - 29. Let l be c(5). Let k = l - -1962. Factor -9/2*g**2 - 1/2*g**k - 2 - 11/2*g + 1/2*g**4.
(g - 4)*(g + 1)**3/2
Find v, given that 1/3*v**2 - 473/3*v - 476 = 0.
-3, 476
Let l(h) = 8*h**5 + 10*h**4 - 8*h**3 - 28*h**2 + 61*h + 86. Let w(j) = j**5 + j**4 + j**3 + j**2 + j + 2. Let m(p) = -l(p) + 7*w(p). Solve m(n) = 0 for n.
-4, -3, -1, 2, 3
Let -161/6*n - 110/3 + 29/3*n**2 - 1/6*n**3 = 0. Calculate n.
-1, 4, 55
Let o(l) be the first derivative of -9*l**6/2 - 24*l**5/5 + 15*l**4/2 + 8*l**3 - 3*l**2/2 + 2832. Suppose o(v) = 0. Calculate v.
-1, 0, 1/9, 1
Let b(m) = 8*m**2 - 2284*m. Let s(l) = -12*l**2 + 3424*l. Let j(a) = -7*b(a) - 5*s(a). Factor j(d).
4*d*(d - 283)
Suppose 22*l - 17*l + 5*z = 35, 0 = -5*l + 2*z. Solve 16*s**4 - 11*s**l - 30*s**4 - 9*s**2 + 19*s**4 = 0.
-2, 0, 2
Let b(c) = 8*c**2 + 35*c + 27. Let z(m) = -12*m**2 + 1 - 40*m - 71 - 12*m + 30. Let o(i) = 8*b(i) + 5*z(i). Factor o(u).
4*(u + 1)*(u + 4)
Let h(i) be the first derivative of -9/7*i**2 + 72/7*i - 2/21*i**3 - 238. Factor h(l).
-2*(l - 3)*(l + 12)/7
Let s be -5*3*5/225 + (-4)/(-10). Let y(v) be the first derivative of 1/30*v**4 + 0*v - 53 - 4/45*v**3 + s*v**2. Let y(d) = 0. What is d?
0, 1
Factor 836*y + 2*y**2 + 3*y**2 - y**2 + 6*y**2 + 87362 - 8*y**2.
2*(y + 209)**2
Find b, given that -217*b**3 + 3951*b**4 - 3954*b**4 - 278*b**3 + 3*b**2 + 495*b = 0.
-165, -1, 0, 1
Let v(m) be the third derivative of 1/120*m**6 - 17/60*m**5 + 0 + 10/3*m**4 - 32/3*m**3 - 106*m + m**2. Factor v(a).
(a - 8)**2*(a - 1)
Factor -3*p**2 - 3302*p + 1713*p - 3801*p + 782*p - 2056455 + 286983.
-3*(p + 768)**2
Suppose d - 5 = q, -3*q = 4*d - 5*d + 5. Suppose -d*h - 10 = -0*i - 3*i, i - 8 = 4*h. Factor -1/2*w**2 + i - 2*w.
-w*(w + 4)/2
Suppose 25*n = 211 + 39. Factor 6*w**2 + 15*w + 12*w**3 + 8*w**3 + 4*w**3 - 35*w**3 + 8 + n*w**3.
-(w - 8)*(w + 1)**2
Let x(y) be the second derivative of 2*y**6/15 - 3*y**5/5 - 5*y**4 - 34*y**3/3 - 12*y**2 + 863*y. Let x(l) = 0. What is l?
-1, 6
Find n, given that 104/5*n + 156/5*n**2 + 8*n**3 - 12/5 = 0.
-3, -1, 1/10
Suppose 0 = 2*o - 3*u - 5 + 2, 0 = -2*o - 4*u - 4. Suppose 10*d - 12*d + 6 = o. Factor 18*z**2 + 5*z**d + 5*z**3 + 2*z**2 - 6*z**3 + 24*z.
4*z*(z + 2)*(z + 3)
Factor -2/5*z**2 - 308898/5 - 1572/5*z.
-2*(z + 393)**2/5
Let x = -24 - -38. Let v be 3*1/(-9) - x/(-6). Suppose 25*a**2 - 11*a**v - a - 15*a**2 = 0. What is a?
-1, 0
Let j be ((-192)/(-72))/(2/36*2). Suppose -j*v**2 + 31*v - 4*v**3 + 6*v**4 - 15*v + 5*v**3 + 0*v**4 + v**5 = 0. What is v?
-4, 0, 1
Suppose 0 = 10*g + 1 - 81. Let h(c) be the second derivative of 0*c**2 + 0*c**3 + 1/140*c**5 - g*c - 1/42*c**4 + 0. Factor h(d).
d**2*(d - 2)/7
Let p(w) = -8*w**2 + 48*w + 1414 - 1283 - w**3 - 8*w - 6*w**2. Let a be p(-16). Factor 0 + 14*c**2 + 55/4*c**3 + a*c - 25/4*c**4.
-c*(c - 3)*(5*c + 2)**2/4
Let k(h) be the second derivative of -1/4*h**6 + 180*h - 1/4*h**5 + 0*h**2 + 0*h**4 + 0 + 0*h**3 - 5/84*h**7. Suppose k(z) = 0. Calculate z.
-2, -1, 0
Let a(s) be the first derivative of -1/5*s**5 + 2*s**2 - 122 + 0*s - s**4 + 1/3*s**3. Factor a(u).
-u*(u - 1)*(u + 1)*(u + 4)
Suppose -229 + 6095*c**3 - 1640*c**4 - 8820*c**2 - 600 - 51 + 3137*c + 3394*c - 1391*c + 105*c**5 = 0. Calculate c.
2/7, 1, 4/3, 2, 11
Find x, given that -2/5*x**2 - 6816/5*x - 6814/5 = 0.
-3407, -1
Suppose -6*m + 160 = 2*m. Let o(s) be the first derivative of 5*s - 14*s + 4*s**3 - 11*s - 13 + m*s**2 + 8*s**2. Suppose o(n) = 0. What is n?
-5, 1/3
Let c(t) be the first derivative of -132 + 0*t - 2/3*t**3 + 12*t**2. Factor c(g).
-2*g*(g - 12)
Let v(w) be the second derivative of 0*w**2 + 23*w + 0 - 5/12*w**4 - 55/6*w**3. Factor v(x).
-5*x*(x + 11)
Let j(p) be the second derivative of p**4/6 + 240*p**3 - 721*p**2 + 5130*p. Suppose j(y) = 0. What is y?
-721, 1
Let s = -356 + 355. Let p be (-44)/(-10) - s - (-7 + 12). Solve -12/5*m - p*m**2 + 0 = 0.
-6, 0
Find a such that 3/5*a**4 - 74606/5 - 457/5*a**3 + 18747/5*a**2 - 99207/5*a = 0.
-2/3, 7, 73
Let o be (-2623 - -2651)*1/((-8)/(-1)). Find r such that 15/4 + o*r - 1/4*r**2 = 0.
-1, 15
Let l be (-2)/6 - (-266189)/(-165). Let t = 1614 + l. Factor t*p**2 - 4/5*p - 6/5.
2*(p - 3)*(p + 1)/5
Suppose -3*c = -3*v + 39, 2*v = 17*c + 168 + 53. Factor 3/5*g**3 + 3*g**2 + 18/5*g + v.
3*g*(g + 2)*(g + 3)/5
Let c be (-55)/((-3465)/(-1098)) + 18. Solve -2/7*b**2 + 6/7*b - c = 0 for b.
1, 2
Let 2/3*f**4 - 10240/3 - 544/3*f**2 + 0*f**3 + 1536*f = 0. Calculate f.
-20, 4, 8
What is c in -2/5*c**3 + 62/5*c**2 - 54 - 206/5*c = 0?
-1, 5, 27
Let i = -59 + 61. Suppose 5*b = 5 - 0, -z + b = -1. Factor 18*c**i - 32 - 4*c**3 + 8*c**2 - 48*c - 50*c**z.
-4*(c + 2)**3
Let l(y) be the first derivative of y**5/100 - y**4/15 + y**3/30 + 3*y**2/5 - 98*y + 16. Let f(h) be the first derivative of l(h). Solve f(r) = 0 for r.
-1, 2, 3
Suppose 0*v - 4*v + 32 = 0, -4*v = -362*g + 358*g - 32. Let -11/2*c**4 - 2*c + 2*c**3 + 11/2*c**2 + g = 0. Calculate c.
-1, 0, 4/11, 1
Let c(d) be the third derivative of 2*d**7/525 + 7*d**6/300 - 3*d**5/50 - 11*d**4/30 - 8*d**3/15 + 164*d**2. Find t, given that c(t) = 0.
-4, -1, -1/2, 2
Find c, given that 187/3*c + 184 + 1/3*c**2 = 0.
-184, -3
Let k = 35 + 14. Let w(p) be the first derivative of -7*p**2 + 5*p + 1729*p**3 - 1730*p**3 - k + 2*p - 3*p**2. Let w(t) = 0. What is t?
-7, 1/3
Let f = -49202 + 49202. Factor 9/8*q**3 + f + 11/8*q + 21/8*q**2 - 1/8*q**4.
-q*(q - 11)*(q + 1)**2/8
Let t = 86 - 46. Determine z, given that -22*z**3 + t*z**2 - 8*z - 45 + 5*z**4 - 8*z**3 + 38*z = 0.
-1, 1, 3
Let a(y) = -552 - 120*y - 123 + 162 - 84. Let m be a(-5). Determine j so that 3/2*j + m - 3/2*j**2 = 0.
-1, 2
Factor 65*k**3 + 19*k + 24*k + 489*k**2 + 53*k + 91*k**3 - 228*k.
3*k*(4*k - 1)*(13*k + 44)
Factor -8541*n**2 + 2846*n**2 - 8*n + 2850*n**2 + 2846*n**2 + 7.
(n - 7)*(n - 1)
Let p(r) be the first derivative of -r**3 + 1500*r**2 + 3003*r + 7661. Factor p(j).
-3*(j - 1001)*(j + 1)
Let p(w) be the first derivative of -w**6/1020 - w**5/170 + 4*w**4/51 - 4*w**3/17 - 201*w**2/2 + 27. Let y(q) be the second derivative of p(q). Factor y(u).
-2*(u - 2)*(u - 1)*(u + 6)/17
Let u(m) be the second derivative of m**4/3 - 918*m**3 + 2752*m**2 - 30*m - 10. Let u(i) = 0. Calculate i.
1, 1376
Factor -20*l**2 - 10 + 6*l + 19*l + 7003*l**3 - 3498*l**3 - 3500*l**3.
5*(l - 2)*(l - 1)**2
Factor 29146*s**2 - 872*s**3 + 248*s**3 + 3*s**4 + 3302*s**2.
3*s**2*(s - 104)**2
Suppose -5*g**5 + 270*g + 55*g**2 - 92*g**2 - 50*g**3 - 35*g**4 + 97*g**2 + 5*g**3 + 75*g**2 = 0. What is g?
-3, 0, 2
Let w = -143 + 140. Let r be 33/(-12) - w - 430/(-200). Suppose r*m + 12/5 + 3/5*m**2 = 0. What is m?
-2
Factor -38/3*f - 1/3*f**5 + 115/3*f**2 - 39*f**3 + 0 + 41/3*f**4.
-f*(f - 38)*(f - 1)**3/3
Let j(x) be the second derivative of -x**5/10 + 155*x**4/6 - 5767*x**3/3 - 18723*x**2 - 1949*x. Factor j(a).
-2*(a - 79)**2*(a + 3)
Let o(h) be the third derivative of h**6/720 - 109*h**5/120 + 369*h**4/2 + 6724*h**3/9 - h**2 - 231*h. Factor o(p).
(p - 164)**2*(p + 1)/6
Let d(k) be the first derivative of 10*k - 1/3*k**3 + 9/2*k**2 - 54. Determine q, given that d(q) = 0.
-1, 10
Let w(l) be the first derivative of 2/7*l**4 + 52/35*l**5 - 16/7*l + 134 - 64/7*l**2 - 52/7*l**3. Let w(n) = 0. What is n?
-1, -2/13, 2
Determine k so that 0*k**3 + 2*k**3 + 124998*k + 1002*k**2 + 305456028 - 305582030 = 0.
-251, 1
Let a be -9 + -1 + 23 - 10. Let d(m) be the third derivative of 0 - 5/3*m**a - 9*m**2 - 5/24*m**4 + 1/12*m**5 + 0*m. Factor d(b).
5*(b - 2)*(b + 1)
Let o = 219 - 217. Suppose o*x - 20*m = -25*m - 21, -x + 5*m + 27 = 0. What is i in 8/5 + 2/5*i**x - 8/5*i = 0?
2
Let a(j) = -58*j**3 - 136*j**2 - 132*j + 174. Let q(t) = -169*t**3 - 410*t**2 - 396*t + 523. Let k(r) = -17*a(r) + 6*q(r). Factor k(h).
-4*(h + 3)**2*(7*h - 5)
Let h(q) be the third derivative of -49/3*q**4 + 47/240*q**6 + 0*q**3 + 0*q + 0 + 114*q**2 + 7/5*q**5 - 1/672*q**8 - 1/70*q**7. Determine o so that h(o) = 0.
-7, 0, 4
Let f be ((-138)/115)/(4/10 - 1). Find d, given that -14 + 33 + 3*d**f + 23 + 30 - 30*d = 0.
4, 6
Let g(r) be the second derivative of 7*r**4/6 - 92*r**3 - 160*r**2 + 1754*r - 2. Factor g(q).
2*(q - 40)*(7*q + 4)
Let u(a) be the first derivative of 9*a**5/170 - 11*a**4/102 + 2*a**3/51 + 40*a + 37. Let m(r) be the first derivative of u(r). Determine k so that m(