+ 65*m**4/12 - m**2 - 5*m + 4. Let s(d) be the third derivative of j(d). Factor s(o).
(o - 3)**2/2
Let r be ((-532)/(-608))/((-21)/(-12)). Let h(g) be the second derivative of 5/2*g**2 - r*g**5 + 5/3*g**3 + 0 - 1/6*g**6 + 0*g**4 + 11*g. Factor h(u).
-5*(u - 1)*(u + 1)**3
Let r(n) be the third derivative of n**6/1260 - 757*n**5/630 + 570*n**4 - 2268*n**3 + 32*n**2 - 12*n. Determine c, given that r(c) = 0.
1, 378
Let h(c) = 4*c**3 + 56*c**2 + 55*c + 6. Let t(f) = 3*f**3 + 55*f**2 + 54*f + 4. Let i(y) = 2*h(y) - 3*t(y). Suppose i(k) = 0. What is k?
-52, -1, 0
Let n(g) be the first derivative of -216 - 5/2*g**2 + 30*g + 5/4*g**4 - 10*g**3. Factor n(l).
5*(l - 6)*(l - 1)*(l + 1)
Let y(o) be the first derivative of o**4/12 + 214*o**3/9 - 217*o**2/6 - 430*o/3 + 2097. Find v such that y(v) = 0.
-215, -1, 2
Suppose -340 = -288*x + 236. Let l(u) be the first derivative of 44*u + 20*u**x - 24 - 4/3*u**3. Solve l(z) = 0 for z.
-1, 11
Factor 45*r - 76452*r**2 + 152898*r**2 - 76447*r**2 - 189*r - 284.
-(r + 2)*(r + 142)
Suppose 4*l - 9 = b, 5*l = 3*b + l + 11. Let a be 1 - b - (1 + 6)/(-7). Factor 15*f + 41 + 0*f - 5*f**a - 31.
-5*(f - 2)*(f + 1)**2
Let c be (5/(75/(-6)))/((-5037)/(-115) - 46). Factor 16/11 - c*l**2 - 4/11*l.
-2*(l - 2)*(l + 4)/11
Let a(b) = 6*b**2 - 117*b - 141. Let y(k) = -3*k**2 + 59*k + 70. Let j(n) = n**3 - 4*n**2 + 5. Let m be j(3). Let q(z) = m*a(z) - 9*y(z). Factor q(r).
3*(r - 22)*(r + 1)
Determine w so that -226*w**2 - 229*w**2 - 235*w**2 + 927*w**2 - 241*w**2 - 3964*w = 0.
-991, 0
Solve 3/7*m**3 - 15/7*m + 18/7 - 6/7*m**2 = 0 for m.
-2, 1, 3
Let t = 836342/35 + -119476/5. Determine d, given that t*d**3 + 16/7*d**2 + 38/7*d + 24/7 = 0.
-4, -3, -1
Let z be -3*(-130)/1575*4 - 8/10. Let m(x) be the third derivative of -7*x**2 + z*x**3 + 0*x + 1/210*x**5 + 1/21*x**4 + 0. Factor m(r).
2*(r + 2)**2/7
Let q(j) be the third derivative of -7*j**6/400 - 817*j**5/600 + 13*j**4/40 - 3471*j**2. Factor q(n).
-n*(n + 39)*(21*n - 2)/10
Let a(b) be the second derivative of b**9/22680 - b**8/6300 - 139*b**3/6 + 115*b. Let i(r) be the second derivative of a(r). Factor i(x).
2*x**4*(x - 2)/15
Suppose 0 = 4*k + 2*k - 72. Suppose k + 7 = q. What is c in 25*c**4 + 3*c**2 - 43*c**4 + 3*c**3 + c + q*c**4 = 0?
-1, 0
Let m = -17572 + 17575. Solve 0 + 0*f + 2/5*f**4 + 2*f**m + 8/5*f**2 = 0 for f.
-4, -1, 0
Suppose -4*u + 107 + 105 = 0. Factor u*j**3 - 101*j**3 + 51*j**3 + 21*j**4 - 42*j**4 + 36*j**5.
3*j**3*(3*j - 1)*(4*j - 1)
Suppose -3*g + 5*h = 1191 - 15956, 0 = 5*g - h - 24645. Let g*q - 4876*q + 56*q**2 + 0*q**3 + 2*q**3 = 0. Calculate q.
-27, -1, 0
Let i(a) = -3*a**2 + 986*a + 1077. Let z(y) = y**2 - 329*y - 363. Let n(f) = -3*i(f) - 8*z(f). Solve n(s) = 0.
-1, 327
Let c(u) be the third derivative of -u**5/240 + u**4/96 + u**3/4 - 222*u**2. Solve c(k) = 0 for k.
-2, 3
Let d(j) = 379*j**2 + 1150*j + 41. Let z be d(-3). Find s, given that -40/17 - 4/17*s**3 - 8/17*s - 2/17*s**4 + 30/17*s**z = 0.
-5, -1, 2
Determine s so that 610/3*s**2 + 0 - 2/3*s**4 + 608/3*s**3 + 0*s = 0.
-1, 0, 305
Let s = -238 - -242. Let x be ((-5)/(-25))/(s/30)*2. Let -2/7*j**4 + 2/7 - 4/7*j + 4/7*j**x + 0*j**2 = 0. What is j?
-1, 1
Determine c, given that -137288 - 1/2*c**2 + 524*c = 0.
524
Let y = -322 + 326. Suppose 89*h**3 - 4*h**5 - 32*h - 42*h**3 - 23*h**3 - y*h**4 + 16*h**2 = 0. What is h?
-2, 0, 1, 2
Let w = 1/7 + 0. Let q(v) be the second derivative of 5*v + 0 + 1/14*v**3 + 6/7*v**2 - w*v**4 - 3/140*v**5. Factor q(a).
-3*(a - 1)*(a + 1)*(a + 4)/7
Let h be 51/(-15) - -3 - (-514)/10. Let p = 176 - h. Let 4*m**2 + 7*m - p + m + 125 = 0. What is m?
-2, 0
Let a(v) = -4*v - 1. Let z(h) = 28*h**2 - 844*h + 756. Let x(u) = 12*a(u) - z(u). Determine n, given that x(n) = 0.
1, 192/7
Factor 23*n**2 - 586*n**2 + 33*n**2 - 53*n**2 + 25*n**3 + 340 - 252*n**2 - 520*n.
5*(n - 34)*(n + 1)*(5*n - 2)
Let q(n) be the third derivative of 0 - 6*n + 37/630*n**7 + 12*n**5 - 24*n**4 - 2*n**2 - 1/1008*n**8 - 13/10*n**6 + 0*n**3. Suppose q(x) = 0. What is x?
0, 1, 12
Factor 0 - 254/11*l + 2/11*l**2.
2*l*(l - 127)/11
Let t = 270633 - 270630. Let 0 + 1/2*p - 1/2*p**t + 1/6*p**2 - 1/6*p**4 = 0. What is p?
-3, -1, 0, 1
Let w = -23311 - -23311. Let t(v) be the third derivative of 1/14*v**4 + 1/420*v**6 + 0*v**3 + w - 1/42*v**5 + 2*v - 12*v**2. Factor t(b).
2*b*(b - 3)*(b - 2)/7
Let s be 80421/108 - (-27)/108. Let u = s - 744. Solve -2/3 - 2/9*w**2 + u*w = 0.
1, 3
Let d(w) be the second derivative of -w**6/10 - 39*w**5/20 - 53*w**4/4 - 83*w**3/2 - 63*w**2 - 119*w - 5. Determine f so that d(f) = 0.
-7, -3, -2, -1
Let s(x) be the third derivative of 11*x**6/30 - 262*x**5/15 - 8*x**4 - 5485*x**2. Factor s(o).
4*o*(o - 24)*(11*o + 2)
Let u be (1/(-6) + (-2)/(-3))/(7007/19404). Let f(k) be the first derivative of 2/39*k**3 - 8/13*k**2 - u*k + 19. Factor f(n).
2*(n - 9)*(n + 1)/13
Let l(h) be the first derivative of 4*h**3 - 5*h**3 + 51*h + 20 + 20*h**2 + 4*h**2 + 54. Factor l(i).
-3*(i - 17)*(i + 1)
Let w = -474565/33 - -158467/11. Factor -22/3*j**2 - 24 - 1/3*j**3 - w*j.
-(j + 2)**2*(j + 18)/3
Let a(t) be the third derivative of 81*t**6/40 + 531*t**5/20 - 31*t**4 + 14*t**3 - 66*t**2 + 1. Solve a(v) = 0.
-7, 2/9
Let w = -9 - -3. Let f(s) = s**2 + 45*s - 291. Let k(h) = h**2 - h - 1. Let t be 8 + (4 - (5 - 0)) - 5. Let z(n) = t*f(n) + w*k(n). Solve z(i) = 0.
12
Let b be 3 + 11 + -5 + 1. Let r be (-2)/b*65/(-52). Factor 0*t + 0 - 1/4*t**4 + 1/4*t**2 + r*t**3 - 1/4*t**5.
-t**2*(t - 1)*(t + 1)**2/4
Let k = -11 + 12. Solve -5*b**3 - 1 + 0*b**2 - 10826*b - b**4 - 9*b**2 + 10819*b - k = 0 for b.
-2, -1
Suppose 10*f - 4*p - 20 = 0, 0 = 15*f - 10*f + 3*p - 35. Let n(l) be the first derivative of -10*l - l**5 - 5/2*l**2 + 5*l**3 - 11 + 5/4*l**f. Factor n(x).
-5*(x - 2)*(x - 1)*(x + 1)**2
Let d = 2 + 1. Let x = 463 + -457. Factor 5*l - 21*l - 5*l**2 - l**3 + 6*l + x*l**d.
5*l*(l - 2)*(l + 1)
Suppose 0 = -10*t + 8*t + 6. Suppose b + 8 = t*b. Factor -5*h**5 - 30*h**b - 57*h**2 - 5*h**3 + 17*h**2 - 6*h**3 - 49*h**3.
-5*h**2*(h + 2)**3
What is p in 8*p**2 - 38/3*p**3 + 1/3*p**5 + 2*p**4 - 10 + 37/3*p = 0?
-10, -1, 1, 3
Find d, given that 0 - 30*d + 145/2*d**2 + 10*d**4 - 215/4*d**3 + 5/4*d**5 = 0.
-12, 0, 1, 2
Let g(u) be the second derivative of -u**4/6 + 34*u**3 - 2601*u**2 + 45*u + 4. Let g(r) = 0. Calculate r.
51
Let k(v) = 4*v**4 + 24472*v**3 + 12*v**2 + 12. Let u(o) = -2*o**4 - 9789*o**3 - 5*o**2 - 5. Let t(j) = -5*k(j) - 12*u(j). Factor t(s).
4*s**3*(s - 1223)
Let c(u) = -15*u**2 + 813*u + 820. Let q(x) = 335*x**2 - 17885*x - 18040. Let o(y) = 45*c(y) + 2*q(y). Solve o(g) = 0.
-1, 164
Let k(t) = -12*t**2 - 6*t. Suppose -5*n - 4*c + 2 = 0, -n - n - 10 = -2*c. Let p(h) = 3*h**2 + h. Let d(b) = n*k(b) - 9*p(b). Factor d(i).
-3*i*(i - 1)
Let y = 25301 - 25297. Let p(x) be the first derivative of -2/3*x**2 - 5/12*x**y + 26 - 4/3*x + 13/9*x**3. Factor p(i).
-(i - 2)*(i - 1)*(5*i + 2)/3
Let r = -79 - -110. Suppose 0 = -3*n + 17 + r. Find f such that 12*f**2 + 10 - n*f - 26 - 14*f**4 + 8*f**3 + 10*f**4 = 0.
-1, 2
Let r be -9 - 133/(-14) - 10/4. Let q(j) = -j**3 - 4*j**2 - 3*j + 4. Let n be q(r). Solve 0*d**n - 8/5*d + 2/5*d**3 + 0 = 0.
-2, 0, 2
Let p be (2392/(-192) - -12)*(-6)/33. Let r(w) be the second derivative of 1/8*w**4 + 0 + 24*w + 7/160*w**5 + 0*w**2 - p*w**3. Factor r(k).
k*(k + 2)*(7*k - 2)/8
Let q be (6/4)/(25 - 3132/135). Factor -q*r - 7/3 + 1/6*r**2.
(r - 7)*(r + 2)/6
Suppose 4*m - 3*i - 1 - 17 = 0, 0 = 3*m + 4*i - 1. Suppose f = 5*p - m*p - 16, 5*p - 4*f = 43. Factor 5 - 5 + 12*q**2 - p*q**2.
5*q**2
Suppose 51 = 6*a + 39. Factor 28*m**4 - 10*m**3 + 6*m**a + 0*m**5 + 29*m**4 - 55*m**4 + 2*m**5.
2*m**2*(m - 1)**2*(m + 3)
Let s be 708/84*-1 + 9 + -1 + -1 + 2. Solve 2/7*n**2 + s*n - 6/7 = 0 for n.
-3, 1
Let g(w) be the second derivative of -w**7/126 - w**6/10 - 23*w**5/60 - 7*w**4/36 + 4*w**3/3 + 8*w**2/3 - 249*w. Suppose g(o) = 0. Calculate o.
-4, -1, 1
Let s(p) be the second derivative of 4*p**4/21 - 13618*p**3/21 + 3404*p**2/7 - 5301*p. Find l, given that s(l) = 0.
1/4, 1702
Let s(v) be the first derivative of 841*v**4/7 + 6844*v**3/21 + 233*v**2/14 + 2*v/7 + 1247. Factor s(u).
(u + 2)*(58*u + 1)**2/7
Let g(w) be the first derivative of w**4/12 + 595*w**3/9 + 29601*w**2/2 + 29403*w + 2064. Factor g(q).
(q +