*7 + 0*f**2 - 8/3*f**3 + 8/3*f**4. Factor v(k).
4*k*(k - 2)*(k - 1)**2*(k + 2)
Determine z so that -24 - 2/3*z**2 + 10*z = 0.
3, 12
Factor -19*a + 701*a**3 - a - 16 + 6*a**2 - 693*a**3 - 2*a**4.
-2*(a - 4)*(a - 2)*(a + 1)**2
Let q(o) = 984*o**2 + 104*o - 1. Let f(v) = 743*v**2 - 3 + 287*v + 37*v + 3190*v**2 + 93*v. Let j(c) = 4*f(c) - 15*q(c). Factor j(b).
3*(18*b + 1)**2
Let j(x) be the third derivative of -x**7/50 + 621*x**6/200 + 289*x**5/20 + 999*x**4/40 + 91*x**3/5 - 81*x**2 - 4. Suppose j(l) = 0. Calculate l.
-1, -2/7, 91
Let s(c) = -66*c**3 + 750*c**2 - 1626*c + 780. Let x(j) = -5*j**3 + 58*j**2 - 125*j + 60. Let k(o) = -2*s(o) + 27*x(o). Factor k(f).
-3*(f - 20)*(f - 1)**2
Let j(f) be the third derivative of -1/1008*f**8 + 2/45*f**5 + 1/9*f**3 + 1/180*f**6 + 7/72*f**4 + 0 + 0*f - 1/315*f**7 + 52*f**2. Factor j(n).
-(n - 2)*(n + 1)**4/3
Factor -315*c + 5840*c**2 - 2929*c**2 - 2914*c**2 + 318.
-3*(c - 1)*(c + 106)
Let o be (-344)/(-20) + (-8 + -13)*20/30. Factor -2/5*r**4 + 0 - o*r**3 + 0*r - 24/5*r**2.
-2*r**2*(r + 2)*(r + 6)/5
Let b = 54000 - 53995. Let p = 1915/3 + -633. Determine u, given that 16/3*u**4 - 32/3*u**b + 2/3*u + 10*u**3 - p*u**2 + 0 = 0.
-1, 0, 1/4, 1
Let g(q) be the first derivative of q**4/78 - 16*q**3/39 + 48*q**2/13 - 181*q + 89. Let t(c) be the first derivative of g(c). Factor t(v).
2*(v - 12)*(v - 4)/13
Let y(d) = 12*d**3 - 9*d**2 - 42*d - 3. Let q(z) = -37*z**3 + 27*z**2 + 126*z + 8. Suppose 39*l + 36 = 27*l. Let n(j) = l*q(j) - 8*y(j). Factor n(v).
3*v*(v - 2)*(5*v + 7)
Let 672 + 824/3*j**2 - 82/3*j**3 - 920*j + 2/3*j**4 = 0. What is j?
1, 6, 28
Suppose 5*f - 21 = 3*b, -4*b - f + 0 = 5. Let j(a) = -a**2 - 4*a - 2. Let s be j(b). Suppose -15*d**2 - 3*d**3 + 42*d**s - 15*d**2 - 15*d**2 = 0. What is d?
-1, 0
Let b be (-111)/60*19 - 3/(-4). Let g = b - -1912/55. Solve -2/11*u**5 + 4/11*u**3 - 8/11*u**2 - 2/11*u + g + 4/11*u**4 = 0.
-1, 1, 2
Let n(l) be the third derivative of l**8/120960 - l**7/1260 + l**6/30 + l**5/20 - l**4/4 - 27*l**2. Let t(y) be the third derivative of n(y). Factor t(c).
(c - 12)**2/6
Suppose -2*m = -4*a, 4*m - 12 = 2*a - 0*m. Factor -1 - 865*u**2 - a - 115*u + u - 218*u**2.
-3*(19*u + 1)**2
Let o(d) = 6*d**2 + 31*d + 101. Let i(a) = 3*a**2 + 15*a + 60. Let h(s) = -11*i(s) + 6*o(s). Factor h(r).
3*(r - 2)*(r + 9)
Suppose 0 = -8*t + 643 - 203. Suppose t = 16*w - 5*w. Determine o, given that 4*o**3 + 10*o**2 - 22*o + 2*o + 41*o**3 - 27*o**w - 8 = 0.
-2/3, 1
Let p = 37439/4 + -9359. Let h(y) be the first derivative of p*y**2 + 0*y + y**3 + 3/8*y**4 - 35. Factor h(a).
3*a*(a + 1)**2/2
Determine i so that -120 + 7*i**2 + 40*i + 2*i**3 + 7*i**2 - 44*i**2 + 72*i + 0*i**2 = 0.
2, 3, 10
Suppose -311*k - 4 + 4 = -177*k. Let c(j) be the third derivative of -1/735*j**7 - 1/42*j**4 + 1/210*j**6 + 0*j**5 - 41*j**2 + 1/21*j**3 + 0 + k*j. Factor c(x).
-2*(x - 1)**3*(x + 1)/7
Determine v so that 1099635/2*v**2 - 460536*v + 92256 + 8913/2*v**3 + 9*v**4 = 0.
-248, 1/3, 1/2
Suppose 0 = 2*f + q + 4*q + 46, -77 = 5*f + 3*q. Let v be ((-195)/(-18))/f + (-80)/(-32). Factor -2*k**2 + 0 - 1/3*k**3 - v*k.
-k*(k + 1)*(k + 5)/3
Let f be (6/8)/(22/(-24) - -1). Suppose i**2 + 50*i + 20*i**4 + f*i**2 + 5*i**5 - 50*i + 25*i**3 = 0. What is i?
-2, -1, 0
Factor 2681*l - 1389*l + 9*l**4 + 228*l**2 - 57*l**3 - 30*l**4 - 1352*l.
-3*l*(l - 2)*(l + 5)*(7*l - 2)
Suppose -3222*k**3 - 1506 - 5772*k**2 - k**5 + 13*k**5 + 228 - 15*k**5 - 4479*k - 654*k**4 = 0. Calculate k.
-213, -2, -1
Let x(r) be the second derivative of -r**4/36 + 188*r**3/9 - 17672*r**2/3 - 292*r - 3. Factor x(y).
-(y - 188)**2/3
Let z = -177 - -180. Find h, given that -48*h + 11*h**z - 175*h**2 + 163*h**2 + 9*h**3 - 16 = 0.
-1, -2/5, 2
Let l(n) be the second derivative of 1 + 13*n - 5/3*n**3 + 8*n**2 - 7/12*n**4 + 1/20*n**5. Solve l(j) = 0.
-2, 1, 8
Suppose 0 = 5*c + 28*c - 594. Let t be c/80 + 12/32. Factor -1/5*s + 1/5*s**4 + 1/5*s**3 - t*s**2 + 2/5.
(s - 1)**2*(s + 1)*(s + 2)/5
Let a = 15866/5 - 3173. Let o(r) be the third derivative of 1/60*r**5 - a*r**3 + 0 + 13/120*r**4 - 15*r**2 + 0*r. Factor o(b).
(b + 3)*(5*b - 2)/5
Let j be (0 - -1)/(1/16). Let t be 1/(-2) - ((-273)/(-26))/(-3). Factor -172 + 16*r + 172 + 11*r**4 + r**4 - j*r**2 - 20*r**t.
4*r*(r - 2)*(r + 1)*(3*r - 2)
Factor 0 + 16/11*t + 14/11*t**4 + 40/11*t**2 + 36/11*t**3 + 2/11*t**5.
2*t*(t + 1)*(t + 2)**3/11
Let j(t) be the first derivative of -2*t**4/13 - 58*t**3/39 - 55*t**2/13 - 24*t/13 + 6220. Determine n so that j(n) = 0.
-4, -3, -1/4
Let s(q) be the third derivative of -q**5/330 - 13*q**4/44 + 82*q**3/33 + q**2 - 150*q. Determine p, given that s(p) = 0.
-41, 2
Suppose -5*m - 26 = -4*q - 2*m, -q + m + 6 = 0. Let s(c) = -2*c + 4. Let f be s(1). Factor 7*b**5 + 3*b**2 + b**4 - 3*b**f - q*b**5.
-b**4*(b - 1)
Let k(l) = -l**2 + 114*l + 108. Let c = 177 + -172. Let h(s) = s**2 - 76*s - 72. Let d(i) = c*k(i) + 7*h(i). Factor d(p).
2*(p + 1)*(p + 18)
Factor -2/5*z**4 + 0 + 0*z - 612/5*z**2 - 62*z**3.
-2*z**2*(z + 2)*(z + 153)/5
Let o(k) be the second derivative of k**5/6 - 46*k**4 + 11371*k**3/3 + 13778*k**2/3 + 58*k + 18. Find t, given that o(t) = 0.
-2/5, 83
Find y, given that -389*y**3 + 150*y**2 - 127391*y**5 + 94*y**3 + 140*y**4 + 127396*y**5 = 0.
-30, 0, 1
Let v(y) be the second derivative of y**7/63 - 2*y**6/3 + 253*y**5/30 - 70*y**4/3 + 196*y**3/9 - 3919*y. Suppose v(b) = 0. Calculate b.
0, 1, 14
Let h(c) be the second derivative of 0*c**2 - 2*c + 8*c**3 - 3*c**4 + 1/14*c**7 + 10 + 3/10*c**6 - 6/5*c**5. Solve h(d) = 0.
-4, -2, 0, 1, 2
Let k = -3809 + 3814. Let b(s) be the third derivative of 4/165*s**k + 0*s + 2*s**2 + 0*s**3 + 4/33*s**4 + 1/660*s**6 + 0. Factor b(t).
2*t*(t + 4)**2/11
Let o(z) = -14*z - 374. Let j be o(0). Let f = 376 + j. Solve 1/6*d**3 + 1/3*d**f + 0 + 0*d = 0 for d.
-2, 0
Suppose 0 = 14*z - 47*z + 9*z + 288. Find o, given that -z + 9*o + 21/2*o**2 - 9*o**3 + 3/2*o**4 = 0.
-1, 1, 2, 4
Let y(g) be the first derivative of -g**5/190 + g**4/19 - 5*g**3/57 - 182*g + 33. Let t(o) be the first derivative of y(o). Factor t(c).
-2*c*(c - 5)*(c - 1)/19
Let v(z) = -z**2 - 11*z - 26. Let y be v(-5). Let o(f) be the second derivative of 5/4*f**y + 5*f + 0 + f**3 - 9/20*f**5 + 0*f**2. Find q, given that o(q) = 0.
-1/3, 0, 2
Let i be (-21 + -9)*(-20)/6. Let a be (-34)/(-8) + 125/i. Suppose 2 + a*n - 3/2*n**2 = 0. Calculate n.
-1/3, 4
Let k(p) be the second derivative of -1/15*p**5 - 17*p - 3*p**2 + 0*p**4 + 0 + 0*p**3 + 1/60*p**6. Let v(d) be the first derivative of k(d). Factor v(b).
2*b**2*(b - 2)
Suppose 0 = 5*i - 2*g + g - 255, -265 = -5*i + 3*g. Find v such that -110*v + 2*v**2 + 33*v + 49*v + i + 48*v = 0.
-5
Let c(y) be the first derivative of y**4/4 - 1082*y**3/9 - 361*y**2/6 - 681. Factor c(h).
h*(h - 361)*(3*h + 1)/3
Let k(w) be the third derivative of 1/120*w**6 + 61731/2*w**3 + 57/20*w**5 + 0 - 122*w**2 + 3249/8*w**4 + 0*w. Determine o so that k(o) = 0.
-57
What is n in -239845*n + n**2 + 239593*n - 47*n**2 - 2*n**3 = 0?
-14, -9, 0
Let h(l) be the second derivative of -l**7/336 + 13*l**5/160 + l**4/6 - l**3/4 - l**2 - 453*l. What is o in h(o) = 0?
-2, -1, 1, 4
Let g(i) be the first derivative of -i**3/12 - 463*i**2/2 - 214369*i - 2246. Factor g(w).
-(w + 926)**2/4
Let c(k) = k**2 - k. Let w(s) = -50*s**4 + 140*s**3 - 90*s**2 + 18*s. Let i be -4 + 4 - -63*1. Let n be 2/18 - (-119)/i. Let m(x) = n*c(x) + w(x). Factor m(a).
-2*a*(a - 2)*(5*a - 2)**2
Let t be (6426/255)/42 + (-4 + 112/30)*-33. Find v, given that t*v + 1/5*v**3 - 5*v**2 - 23/5 = 0.
1, 23
Let w(q) = -4*q**2 - 30*q - 12. Let f be w(-7). Factor 11*t + 3*t**3 - 7*t**2 + 34*t - 7*t**2 - 7*t**f - 27.
3*(t - 3)**2*(t - 1)
Let h = -136023 - -136027. Let -2/9*b**h + 4/3*b**2 - 10/9 + 8/9*b**3 - 8/9*b = 0. Calculate b.
-1, 1, 5
Let i(t) = t**3 + 6*t**2 - 3*t. Let v be i(-6). Let m(p) be the first derivative of 3 - v*p**2 - 1 + 33*p**2 + p**3 + 75*p. Factor m(r).
3*(r + 5)**2
Let s be (21/165)/(8/35). Let k = s - 5/88. Factor 0 + 0*t - k*t**2.
-t**2/2
Suppose -6*j + 798 = 8*j. Let y be -2*j/12*-2 + -4. Suppose -4*u**2 + 12*u - u**4 - 4 - 16*u**2 - 8*u**2 + 6*u**3 + y*u**2 = 0. Calculate u.
1, 2
Let k = 577/3456 + -1/3456. Let x(j) be the first derivative of j + 10 + 7/8*j**2 + k*j**3 - 1/16*j**4. Let x(w) = 0. What is w?
-1,