ative of -z**6/30 + 2*z**5/3 - 29*z**4/6 + 40*z**3/3 + 2*z**2 - 1009*z. Factor v(w).
-4*(w - 5)*(w - 4)*(w - 1)
Suppose 16*q + 14 = 78. Suppose 0*r = 5*o - 5*r, -q*o - r + 5 = 0. Factor -1 - 10*b**2 + 4*b + 8*b**2 - o.
-2*(b - 1)**2
Let i(p) be the second derivative of -p**5/40 - 7*p**4/6 - 57*p**3/4 - 3405*p. Factor i(j).
-j*(j + 9)*(j + 19)/2
Let q be 816/340*80/3. Let l be (-4)/18 + q/144. Factor 2/9*w - l*w**2 + 4/9.
-2*(w - 2)*(w + 1)/9
Suppose 47 = -16*u + 159. Let n = -5 + 16. Factor n - 4*t**3 + 21 - u*t**2 + 16*t - 3*t**2 + 2*t**2.
-4*(t - 2)*(t + 2)**2
Let v(a) be the third derivative of a**5/20 + 33*a**4/4 - 67*a**3/2 - 811*a**2. Determine p, given that v(p) = 0.
-67, 1
Suppose -192*v = -197*v - 5005. Let y be 13/(v/(-14)) - 0. Suppose 0 - y*l + 0*l**2 + 2/11*l**3 = 0. Calculate l.
-1, 0, 1
Let m(i) be the second derivative of 2*i + 0*i**3 + 5/54*i**4 - 3 + 0*i**2 + 1/90*i**5. Factor m(t).
2*t**2*(t + 5)/9
Find v such that -94/3*v**3 - 16/3 - 38/3*v**4 - 2*v**5 - 38*v**2 - 68/3*v = 0.
-2, -4/3, -1
Let g(l) be the first derivative of -1/15*l**5 + 0*l**4 - 11*l**2 + 0*l**3 - 29 + 0*l. Let j(u) be the second derivative of g(u). Factor j(c).
-4*c**2
Let n(o) be the second derivative of -72*o + 0 + 2/45*o**6 - 1/9*o**4 - 1/126*o**7 + 1/60*o**5 + 0*o**3 + 0*o**2. What is g in n(g) = 0?
-1, 0, 1, 4
Let 114/7*y + 45 - 114/7*y**3 - 312/7*y**2 - 3/7*y**4 = 0. What is y?
-35, -3, -1, 1
Let b(k) = -10*k**3 + 5*k**2 + 25*k + 15. Let t(a) = 2 + 19 + 25*a - 3 - 11*a**3 + 5*a**2 - 3. Let l(g) = 6*b(g) - 5*t(g). Factor l(m).
-5*(m - 3)*(m + 1)**2
Let n be (0 + -2)*2842/(-812). Let y(w) be the second derivative of 1/10*w**5 - 1/2*w**3 + 1/42*w**n + 5*w - 2/15*w**6 + 1/3*w**4 + 0 + 0*w**2. Factor y(h).
h*(h - 3)*(h - 1)**2*(h + 1)
Let l(v) be the second derivative of -3*v**5/10 + 149*v**4/3 - 587*v**3/3 + 292*v**2 + 226*v + 6. Factor l(j).
-2*(j - 1)**2*(3*j - 292)
Let x be -5*24/140*35/(-15). Find h such that -7*h**3 + 5086 - 9*h**4 + 3*h**5 + 18*h**x + h**3 + 3*h - 5095 = 0.
-1, 1, 3
Factor -4*h**4 + 172*h**2 + 4*h**5 - 301*h**3 + 466*h**3 - 289*h**3 - 72*h + 24*h**4.
4*h*(h - 2)*(h - 1)**2*(h + 9)
Factor 117 + 807/7*d**4 + 4902/7*d**2 + 3258/7*d**3 + 3273/7*d - 3/7*d**5.
-3*(d - 273)*(d + 1)**4/7
Let q be (3/12)/(5 - 1896/384). Let r(o) be the third derivative of -6*o + 0 + o**2 + 5/4*o**q - 1/12*o**5 + 0*o**3. Factor r(n).
-5*n*(n - 6)
Suppose 4*z - 8 = -4*f, 0 = 5*z - 4*f - 31 - 15. Suppose -6*j**2 - 2*j**3 - 13 - 5 - z*j - 19*j + 3*j**3 = 0. Calculate j.
-2, -1, 9
Let i(m) be the first derivative of m**6/40 + m**5/20 - m**4/8 - m**3/2 + 3*m**2/2 - 92. Let x(p) be the second derivative of i(p). Factor x(k).
3*(k - 1)*(k + 1)**2
Let g be (-8)/18 + (-216)/(-486) + -12 + 14. Let -124/13 - 430/13*c + 14/13*c**g = 0. What is c?
-2/7, 31
Let g(h) = -10*h**3 + 318*h**2 - 992*h - 8. Let z(o) = 9*o**3 - 317*o**2 + 982*o + 7. Let k(c) = 7*g(c) + 8*z(c). Find f, given that k(f) = 0.
0, 3, 152
Let n(z) be the second derivative of -z**4/4 - 27*z**3/7 + 24*z**2/7 + 341*z. Let n(t) = 0. Calculate t.
-8, 2/7
Factor -13/3*u**2 - 20/3 - 1/3*u**3 - 32/3*u.
-(u + 1)*(u + 2)*(u + 10)/3
Let m(b) = -6*b**3 + 16*b**2 + 9*b - 7. Let w be m(3). Let j(i) be the first derivative of 12*i**w - 36*i - 4/3*i**3 + 20. Let j(k) = 0. What is k?
3
Let q(t) be the first derivative of -22*t**3/3 + 13*t**2 - 4*t + 1054. Factor q(i).
-2*(i - 1)*(11*i - 2)
Suppose 4*q + 11*j = -36, -62*j = -3*q - 64*j - 2. Find o such that -o**3 + 16/5*o**q + 0 + 12/5*o - 3/5*o**4 = 0.
-3, -2/3, 0, 2
Let s(k) = -12*k + 14*k + 128 - 64 - 64 - k**2. Let q(h) be the first derivative of -h**3 + 5*h**2/2 - 1. Let v(a) = 4*q(a) - 10*s(a). Solve v(t) = 0 for t.
0
Let j(k) be the third derivative of -k**5/360 - 2623*k**4/72 - 6880129*k**3/36 + 2*k**2 - 1892. Factor j(t).
-(t + 2623)**2/6
Let n(b) be the first derivative of -81*b**2 - 185 - 2187*b - b**3 + 475 - 249. Factor n(r).
-3*(r + 27)**2
Determine s, given that 5543*s**2 + 56 - 315*s - 236 - 5628*s**2 = 0.
-3, -12/17
Suppose 3*j + 1 = 13. Let c be (181 + -181)/(j/(-2)*1). Factor 10/9*u**3 - 4/9*u**2 + 2/9*u**5 + 0 - 8/9*u**4 + c*u.
2*u**2*(u - 2)*(u - 1)**2/9
Let m(a) = -a**3 - 16*a**2 + 14*a - 42. Let d be m(-17). Let i be 1/d*(123 + -121). Factor -i*f**2 - 8 + 8/3*f.
-2*(f - 6)**2/9
Suppose 5*u + 82 = 3*b, 4*b - 6*u - 81 = -5*u. Suppose -b = -8*m + 5. Factor 4/7*r**2 - 1/7*r**m + 0 - 4/7*r.
-r*(r - 2)**2/7
Let o(w) = -10*w - 73. Let n be o(-7). Let t(f) = f**3 + 16*f**2 - 31*f - 42. Let r(d) = 15*d**2 - 33*d - 42. Let h(m) = n*t(m) + 2*r(m). Solve h(q) = 0 for q.
-7, -1, 2
Suppose p = 2*d - 47, -4*d + 5*p = 9*p - 76. Factor -3*w**3 + 7*w + 31*w + d*w**2 + 14*w**2 + 7*w - 78.
-3*(w - 13)*(w - 1)*(w + 2)
Let n be (-8)/(-2) + (-2958)/765. Let m(p) be the second derivative of -4/3*p**3 + n*p**6 + 2/5*p**5 - 1/3*p**4 + 0*p**2 + 3*p + 0. Let m(g) = 0. What is g?
-2, -1, 0, 1
What is p in 0 - 27/2*p**2 - 3/2*p**3 + 0*p = 0?
-9, 0
Let f = -8 + 38. Suppose 0 = 10*s - 5*s - f. Let -6*h**2 - 5*h**2 + 7 - 22 + s*h**2 - 20*h = 0. What is h?
-3, -1
Suppose -2 = -d - 4. Let b be 1 + d/2 + (-54)/18. Let r(h) = -3*h - 3. Let n(c) = -c**2 - 6*c - 5. Let z(q) = b*n(q) + 5*r(q). Suppose z(t) = 0. What is t?
-1, 0
Factor 1054*q - 876*q + 236*q**2 + 380*q**2 + 584*q**3 + 8.
2*(2*q + 1)**2*(73*q + 4)
Factor -p + 123*p**2 + 124*p**2 - 5*p - 251*p**2 - 10*p + 84.
-4*(p - 3)*(p + 7)
Let y = -651 + 654. Let i(h) be the first derivative of 63/8*h**4 + h + 109/12*h**y + 49/20*h**5 + 1 + 9/2*h**2. Factor i(t).
(t + 1)**2*(7*t + 2)**2/4
Let s = -1614 + 1620. Let j = 136 + -204. Let v(u) = -56*u**2 + 56*u. Let q(g) = -5*g**2 + 5*g. Let z(a) = j*q(a) + s*v(a). Suppose z(f) = 0. Calculate f.
0, 1
Let i(n) = -n**3 + n**2. Let d(a) be the first derivative of 3*a**6 - 3*a**5 + 9*a**4/4 - 2*a**3 - 13. Let u(c) = d(c) + 6*i(c). Factor u(r).
3*r**3*(2*r - 1)*(3*r - 1)
Factor 4167/5*p - 3/5*p**3 + 681/5*p**2 + 6291/5.
-3*(p - 233)*(p + 3)**2/5
Factor -98568/5 - 99456/5*o - 2/5*o**3 - 178*o**2.
-2*(o + 1)*(o + 222)**2/5
Suppose -2*q = -2*r + 26, -q + 20 + 15 = 5*r. Factor -44*s**2 + r*s - 161*s**3 - 205*s**3 + 402*s**3.
4*s*(s - 1)*(9*s - 2)
Let r = -8591/175 - -1238/25. Let d(a) = 12*a**2 - 10*a. Let i be d(1). Factor 3/7*x**i - r*x + 0.
3*x*(x - 1)/7
Let t(s) be the third derivative of -5*s**8/112 + 144*s**7/35 + 1331*s**6/40 + 1013*s**5/10 + 309*s**4/2 + 124*s**3 - 1714*s**2. Suppose t(u) = 0. What is u?
-2, -1, -2/5, 62
Let c(y) be the third derivative of -2/3*y**4 - 3/20*y**5 + 13/3*y**3 + 0*y + 8*y**2 + 0 - 1/180*y**6. Let j(i) be the first derivative of c(i). Solve j(d) = 0.
-8, -1
Let d(k) be the second derivative of -k**6/10 + 153*k**5/20 + 395*k**4/4 + 633*k**3/2 + 435*k**2 - 1532*k. Solve d(v) = 0.
-5, -1, 58
Let m(k) be the second derivative of 15*k - 1/12*k**3 + 5*k**2 + 1/80*k**5 + 1/96*k**4 + 0. Let a(y) be the first derivative of m(y). Solve a(c) = 0.
-1, 2/3
Let q(s) be the second derivative of 2*s**7/63 + 2*s**6/9 - 7*s**5/15 - 5*s**4/9 + 4*s**3/3 - 21*s + 20. Let q(y) = 0. Calculate y.
-6, -1, 0, 1
Factor -88/13*p + 2/13*p**2 + 246/13.
2*(p - 41)*(p - 3)/13
Factor -580*c + 86 - 2*c**3 - 3*c**2 + 3*c**3 + 753*c + 91*c**2.
(c + 1)**2*(c + 86)
Suppose -19 = 5*i - m - 0*m, -i - m = -1. Let p be (-343)/(-21) + -4 + i. Factor 98/3 + p*j + 2/3*j**2.
2*(j + 7)**2/3
Solve -132*z**5 + 596 - 1064*z**2 + 356*z - 287 + 544*z**3 - 333 + 320*z**4 = 0.
-2, 1/11, 1/3, 1, 3
Let m be (4/(-22))/(1/(-11)). Factor 334 + 10*t - 2*t**3 - 8*t**m - 334.
-2*t*(t - 1)*(t + 5)
Suppose -56*x + 11*x + 126 = -99. Let k(c) be the third derivative of 0*c**4 - 1/10*c**x + 12*c**2 + 0*c + 0*c**3 - 1/16*c**6 + 0 - 1/140*c**7. Factor k(n).
-3*n**2*(n + 1)*(n + 4)/2
Let f(t) be the first derivative of 4*t**5/5 + 12*t**4 + 116*t**3/3 + 36*t**2 - 436. Factor f(z).
4*z*(z + 1)*(z + 2)*(z + 9)
Let o = -4/1007 - -5799/192337. Let t = o - -548/955. Factor -3/5*h**2 - t*h**3 + 3/5*h**4 + 0 + 3/5*h.
3*h*(h - 1)**2*(h + 1)/5
Let n = -245912 - -1721386/7. Factor 10/7*x + n*x**2 + 0.
2*x*(x + 5)/7
Factor 5/2*v**3 + 397615/2*v + 2815/2*v**2 + 394805/2.
5*(v + 1)*(v + 281)**2/2
Suppose 0*g = -2*g + 2*r + 18, 34 = 4*g - 5*r. Factor -27*q**3 - 18*q**3 - 12*q**4 + 2*q**2 + g*q**2 - q**2.
-3*q**2*(q + 4)*(4*q - 1)
Let j(x) = 