k - 1)
Suppose -4*d + 28 = 2*s, 7*s - 2*d = 5*s - 14. Let u(x) be the third derivative of 7*x**2 - 2/3*x**4 - 1/30*x**6 + s*x - 4/15*x**5 + 0*x**3 + 0. Factor u(b).
-4*b*(b + 2)**2
Let m = -135922 - -135926. Factor 0*p + 2/3*p**2 + 5/6*p**m + 1/6*p**5 + 4/3*p**3 + 0.
p**2*(p + 1)*(p + 2)**2/6
Let 1846 - 1834 + 21*f**4 - 57*f**3 + 75*f**2 - 48*f + 5*f**5 - 8*f**5 = 0. Calculate f.
1, 2
Find c such that -272*c**2 + 928/5*c - 4/5*c**5 - 92/5*c**4 + 0 + 648/5*c**3 = 0.
-29, 0, 2
Suppose 3*x = 0, 30 = 3*i + x + 18. Factor 29*t**3 + 6*t**4 + 2*t**2 - 7*t**i - 30*t**3.
-t**2*(t - 1)*(t + 2)
Let d(q) be the second derivative of q**4/27 - 4*q**3 - 38*q**2 + 400*q - 1. Find m such that d(m) = 0.
-3, 57
Suppose 0 = -f - 5*q + 2, -5*f + 13 + 55 = -4*q. Factor -f*j**2 - 53 + 11*j**2 + j**4 - 6*j + 6*j**3 + 53.
j*(j - 1)*(j + 1)*(j + 6)
Suppose 190*q = 208*q - 36. Let y(b) be the first derivative of 11/3*b**2 + 11 - 26/9*b**3 - q*b + 5/6*b**4. Factor y(f).
2*(f - 1)**2*(5*f - 3)/3
Let u(a) be the first derivative of 6*a**2 + 14*a**3 + 9 + 49/4*a**4 - 9*a. Let t(y) be the first derivative of u(y). Factor t(w).
3*(7*w + 2)**2
Let j be (120 - (111 - -2)) + (1 - 6). Solve -2*d - 2/9*d**j + 44/9 = 0.
-11, 2
Find k, given that -262/19*k**2 + 112/19 - 348/19*k + 150/19*k**4 + 334/19*k**3 + 14/19*k**5 = 0.
-7, -4, -1, 2/7, 1
Let d(y) be the first derivative of 0*y + 49 + 0*y**3 + 0*y**4 - 5/36*y**6 - 1/2*y**5 + 0*y**2. Factor d(v).
-5*v**4*(v + 3)/6
Let k = -33375 - -33377. Solve -18/5 + 16/5*p + 2/5*p**k = 0 for p.
-9, 1
Suppose -17*t + 16*t = 0. Factor t*z**3 + 40*z**2 + 2*z**4 + 59*z**3 - 35*z**3.
2*z**2*(z + 2)*(z + 10)
Suppose -69/7*q**2 - 3*q**3 + 570/7*q + 24 = 0. What is q?
-7, -2/7, 4
Let r(t) = 3*t**4 + 968*t**3 - 386*t**2 - 16*t - 2. Let j(d) = 11*d**4 + 3872*d**3 - 1543*d**2 - 72*d - 9. Let x(s) = -2*j(s) + 9*r(s). Solve x(w) = 0.
-194, 0, 2/5
Let q(c) = -6*c**3 + 155*c**2 - 267*c + 76. Let k be q(24). Determine d, given that 12/5 + 12/5*d - 6/5*d**3 + 3/5*d**k - 9/5*d**2 = 0.
-1, 2
Let f(s) = s**3 + 17*s**2 + 37*s - 68. Let c be f(-14). Let y = 15/28 - 1/28. Factor -y*a**c - 1/2*a**4 + 0*a - a**3 + 0.
-a**2*(a + 1)**2/2
Let x = -254 + 261. Factor x*d**2 + 5587*d**3 - 4*d - 15*d**2 - 5575*d**3.
4*d*(d - 1)*(3*d + 1)
Let y(j) = -2*j**4 + j**3 - j. Let n(v) = -745 + 6*v + 126*v**3 + 745 - 20*v**5 + 40*v**2 + 84*v**4. Let o(k) = n(k) + 6*y(k). Suppose o(h) = 0. What is h?
-1, -2/5, 0, 5
Let q(g) be the third derivative of -g**7/70 + 59*g**6/40 - 277*g**5/20 + 381*g**4/8 - 81*g**3 + 772*g**2 + g. Factor q(m).
-3*(m - 54)*(m - 3)*(m - 1)**2
Suppose 25*c + 83*c - 1512 = 0. Let h be (60/(-35))/((-6)/c). Suppose -3/2*o - 5/4 + 3/2*o**3 + o**2 + 1/4*o**h = 0. What is o?
-5, -1, 1
Let f be -134675*64/(-246400) + (-2)/28. Determine s, given that 72/11*s**2 - 6/11*s**4 + 24/11*s**3 - 192/11*s - f = 0.
-2, 4
Suppose 3*h = 4*l + 35, 0*h + h - 15 = 2*l. Let k(n) be the third derivative of -22*n**2 + 0 + 0*n + 1/24*n**6 + 0*n**4 + 0*n**3 - 1/6*n**h. Factor k(p).
5*p**2*(p - 2)
Let o be (432/576)/((-12)/(-32)). Factor -2/5*y**5 + 4/5*y**3 + 0*y**o + 2/5*y**4 + 0*y + 0.
-2*y**3*(y - 2)*(y + 1)/5
Suppose 92*j + 35*j = 2667. Let g(x) be the first derivative of 0*x**2 + 5/4*x**4 + j + 0*x + 5*x**3. Factor g(b).
5*b**2*(b + 3)
Factor 225/2*a**2 + 0 + 5/2*a.
5*a*(45*a + 1)/2
Suppose 43*u = -1087*u + 919 + 1341. Let -363/7 - 3/7*x**u - 66/7*x = 0. What is x?
-11
Let c(q) be the second derivative of 1/6*q**3 - 1/4*q**4 - 1/20*q**5 + 0 + 1/30*q**6 - 36*q + q**2. Factor c(l).
(l - 2)*(l - 1)*(l + 1)**2
Let u(w) be the third derivative of 0*w + 1 - 8*w**3 + 1/20*w**5 + 3/4*w**4 - 88*w**2. Factor u(p).
3*(p - 2)*(p + 8)
Let l be 8/(-68) - (7/4 - -185*(-4210)/23800). Suppose -204/7*u + 3/7*u**3 + 6*u**2 + l = 0. Calculate u.
-18, 2
Let h be ((-1)/2)/(-1 - (-10)/12). Suppose -h = 4*c - 5*d - 6, -2*c = -4*d. What is y in -4*y + 4*y**3 - 2*y**2 - 10*y**2 + 4*y**4 - 9*y**2 + 17*y**c = 0?
-1, 0, 1
Let x be ((-51)/21)/1 + 3. Let j(h) be the second derivative of -4/7*h**2 - 12*h - x*h**3 - 5/42*h**4 + 0. Let j(d) = 0. Calculate d.
-2, -2/5
Let o(n) be the first derivative of 2*n**5/5 + 6*n**4 + 86*n**3/3 + 60*n**2 + 56*n + 1111. What is c in o(c) = 0?
-7, -2, -1
Find o such that -15778*o + 47 + o**2 - 24 + 15754*o = 0.
1, 23
Determine k, given that 36 - 76*k + 59*k - 9 + 59*k - 33*k - 3*k**2 - k**3 = 0.
-3, 3
Let p = -45 + 49. Suppose 2*a - 4*w = -9*w + 4, p*a - 8 = -4*w. Factor -13*x**2 + 4 - 6*x**2 - 11*x**2 - 3*x + 29*x**a.
-(x - 1)*(x + 4)
Let h = -73/348 + 40/87. Let q(z) be the first derivative of -3/4*z + 0*z**2 + h*z**3 - 11. Find i such that q(i) = 0.
-1, 1
Let i(r) be the third derivative of r**6/780 - 2*r**5/195 + r**4/156 + 2*r**3/13 - 215*r**2 - 2*r. Factor i(t).
2*(t - 3)*(t - 2)*(t + 1)/13
Let y(i) = 138*i**2 - 127*i + 45. Let a(n) = 29*n**2 - n. Let d(k) = -2*a(k) + y(k). Factor d(s).
5*(s - 1)*(16*s - 9)
Let r be (-48)/312 + (-977)/(-13). Suppose -r = -3*g - 69. Let 3*z**5 + 5*z**4 - z - 3*z**4 + 0*z**4 - 2*z**g - 2*z**5 = 0. Calculate z.
-1, 0, 1
Let f(z) = -z**3 - 5*z**2 + 6*z + 6. Let n be f(-6). Let t be (-6 + (-208)/(-36))/((-8)/n). Factor -1/3 + 1/6*v + t*v**2.
(v - 1)*(v + 2)/6
Let l(y) = -64*y**2 - 4348*y - 1769. Let p(d) = 47*d**2 + 3261*d + 1326. Let c(u) = -8*l(u) - 11*p(u). Factor c(n).
-(n + 217)*(5*n + 2)
Suppose 1069*g - 540*g = 526*g + 6. Let 0*u + 12*u**g + 0 + 2/3*u**3 = 0. Calculate u.
-18, 0
Let j(g) be the second derivative of -14/3*g**3 + 1/3*g**5 - 12*g**2 + 2/45*g**6 + 1/9*g**4 - 2*g - 13. What is h in j(h) = 0?
-3, -1, 2
Suppose 98*b - 31*b - 95 = 39. Factor -2/7*z**3 + 2/7*z**4 + 16/7 + 8/7*z - 12/7*z**b.
2*(z - 2)**2*(z + 1)*(z + 2)/7
Let r = 9968 + -9954. Let a(k) be the second derivative of -r*k + 0 + k**3 + 6*k**2 + 1/16*k**4. Factor a(f).
3*(f + 4)**2/4
Let w = 260952 - 260950. Factor -16*k - 82/5 + 2/5*k**w.
2*(k - 41)*(k + 1)/5
Factor -374*z**3 + 3*z + 6*z**2 + 738*z**3 - 363*z**3 - 10.
(z - 1)*(z + 2)*(z + 5)
Factor -110/7*h + 4/7*h**2 + 2/7*h**3 - 16.
2*(h - 7)*(h + 1)*(h + 8)/7
Factor 1047*g**2 + 496*g + 1056*g**2 - 2107*g**2 + 1008.
-4*(g - 126)*(g + 2)
Let y(g) be the third derivative of 2*g**7/315 - 7*g**6/45 + 53*g**5/45 - 20*g**4/9 + 1139*g**2. Factor y(q).
4*q*(q - 8)*(q - 5)*(q - 1)/3
Let a(h) be the first derivative of 3*h**4 - 64*h**3/3 + 6*h**2 + 40*h + 1172. Factor a(u).
4*(u - 5)*(u - 1)*(3*u + 2)
Suppose 1/5*q**2 - 273/5*q - 274/5 = 0. Calculate q.
-1, 274
Let w = -1923690/7 + 274813. Factor -1/7*h**4 + 0 - w*h**2 + 2/7*h**3 + 0*h.
-h**2*(h - 1)**2/7
Let v(i) = i**3 + 15*i**2 + 26*i - 2. Let j be v(-13). Let c be j + (-96)/(-14) - 272/68. Factor 22/7*o**2 + c*o**3 + 24/7*o + 8/7.
2*(o + 1)*(o + 2)*(3*o + 2)/7
Let y = 2567 + -2567. Let d(o) be the second derivative of y*o**2 - 1/210*o**5 + 0*o**4 + 0*o**3 + 18*o + 0. Determine v, given that d(v) = 0.
0
Let z(c) be the first derivative of 5*c**3/3 - 3*c**2/2 + 6*c - 86. Let t(g) = 2*g + 1. Let a(w) = -6*t(w) + z(w). What is d in a(d) = 0?
0, 3
Suppose -13*z + 115 = 76. Factor 10*d**2 - 15*d**3 - 69*d**z - 269*d**2 - 137*d**2 + 484*d - 4*d**4.
-4*d*(d - 1)*(d + 11)**2
Let o = 496 + -494. Let i be o - 8 - 192/(-24). Find z, given that 16/7*z + 88/7*z**i + 0 - 34*z**4 + 36/7*z**3 + 14*z**5 = 0.
-2/7, 0, 1, 2
Let l(w) be the first derivative of -2*w**6/15 - 2*w**5/5 + 4*w**4/3 + 4*w**3/3 - 6*w**2 - 52*w + 53. Let v(d) be the first derivative of l(d). Factor v(z).
-4*(z - 1)**2*(z + 1)*(z + 3)
Let g(s) be the first derivative of 3*s**4/4 - 35*s**3 - 1323*s**2/2 - 1215*s - 2532. Factor g(o).
3*(o - 45)*(o + 1)*(o + 9)
Let p be 40/18 + (-4)/18. Let v be 2280/(-40) - 20*-3. Solve -1/2 + 1/4*y**v + 5/4*y - y**p = 0 for y.
1, 2
Let x be -8 + (-12 - 31191/(-1560)). Let t = 1147/520 + x. Suppose 21/5*v**2 + 16/5*v + 2/5*v**4 + 4/5 + t*v**3 = 0. What is v?
-2, -1, -1/2
Let q = -231 + 282. Let x be q/108 + (-14)/63. Factor 1/4*s**2 + 0 + x*s.
s*(s + 1)/4
Let s = 178 + -148. Let h be (-12)/90 - (-16)/s. Factor 3/5 + h*o - 1/5*o**2.
-(o - 3)*(o + 1)/5
Find y, given that 7182050/3 + 7580/3*y + 2/3*y**2 = 0.
-1895
Let g(p) be the third derivative of -1/3*p**3 + 0 + 7/24*p**4 - 1/20*p**5 + 20*p**2 + 0*p. Let g(k) = 0. What is k?
1/3, 2
Let r be ((-12)/786)/(-3*(-10)/105). Let s = 999/917 - 