5 + 69*w**5 + h*w**2 - 15*w**4 + 6*w**2.
-5*w**2*(w - 1)*(w + 2)**2
Let p(b) be the third derivative of -b**5/15 + 73*b**4/3 - 10658*b**3/3 - b**2 + 77. Factor p(u).
-4*(u - 73)**2
Let j(l) be the third derivative of -l**6/180 + 7*l**5/90 - 11*l**4/36 + 5*l**3/9 + l**2 - 3*l. Factor j(a).
-2*(a - 5)*(a - 1)**2/3
Suppose 4*b = b + 15. Suppose b*z = 12*z - 14. Suppose 11/2*g - 11/2*g**z + g**4 - 3/2 + 1/2*g**3 = 0. Calculate g.
-3, 1/2, 1
Let r(y) = -y**3 + 3*y**2 - y. Let v(x) = -12*x**3 + 4*x**2 - 40*x - 16. Let b(u) = 8*r(u) - v(u). Factor b(i).
4*(i + 1)*(i + 2)**2
Let u(j) be the third derivative of j**6/72 + j**5/6 + j**3/2 - 8*j**2. Let y(b) be the first derivative of u(b). Determine r so that y(r) = 0.
-4, 0
Let v(p) = p**2 - 3*p + 3. Let l be v(3). Suppose -3 = l*t + 4*k, -k + 2 = 5. Factor 2 - 6*c - 41*c**3 + 39*c**t + 4*c**2 + 2*c**2.
-2*(c - 1)**3
Suppose 0*n + 5 = n. Find y such that 6*y**n + 4*y - 3*y**4 - 10*y**2 + 13*y**4 + y - 11*y**5 = 0.
-1, 0, 1
Suppose q = -0*q - 1. Let n be (-12)/(3 + 1)*q. Factor -4*r**3 - n*r + 2*r**3 - 4*r**2 - 2*r**2 - r.
-2*r*(r + 1)*(r + 2)
Factor 9/2*j - 2*j**2 - 9/4 - 1/2*j**3 + 1/4*j**4.
(j - 3)*(j - 1)**2*(j + 3)/4
Let o(u) = 7*u**3 + 56*u**2 + 23*u - 278. Let y(i) = 27*i**3 + 222*i**2 + 93*i - 1110. Let q(m) = 15*o(m) - 4*y(m). Suppose q(x) = 0. What is x?
-15, -3, 2
Let k(u) be the second derivative of 5/6*u**4 + 85/24*u**3 - 49*u + 25/4*u**2 + 1/16*u**5 + 0. Factor k(g).
5*(g + 1)*(g + 2)*(g + 5)/4
Let t be (13 - 1022/56)*1/(12/(-8)). Suppose -1/4*f**4 - 1/2*f**3 + 5/4 - t*f + 3*f**2 = 0. Calculate f.
-5, 1
Let m(i) be the first derivative of i**4/18 - 10*i**3/9 + 4*i**2/3 + 56*i/9 + 350. Solve m(x) = 0.
-1, 2, 14
Let y be (15/6 - 1)*(-2)/(-300). Let h(n) be the third derivative of -n**2 - 1/40*n**4 + 0*n + y*n**5 + 0*n**3 + 0. Suppose h(d) = 0. Calculate d.
0, 1
Let z(l) = 2*l**3 - 3*l**2 - 3*l - 3. Let k(o) = 2*o**2 - 2*o - 2. Let h be k(2). Let i(c) = 2*c**3 - 2*c**2 - 2*c - 2. Let j(w) = h*z(w) - 3*i(w). Factor j(b).
-2*b**3
Suppose -5 - 3 = -2*i, 116 = 4*o - 3*i. Find b, given that 9*b + 22 - 46 - b + o + 2*b**2 = 0.
-2
Suppose 12*s - 451 - 161 = 0. Let t = 53 - s. Factor -2/3*z**2 - 4/3 - t*z.
-2*(z + 1)*(z + 2)/3
Let y(m) = m**2 - 9*m + 16. Let i be y(7). Suppose -r - 3 = -2*w, 4*r + 3*w - i - 19 = 0. Factor 10*s**3 + 5*s**r + 6*s**4 - s**4 + 10*s**2.
5*s**2*(s + 1)*(s + 2)
Determine l, given that 48/5*l**4 + 246/5*l**2 - 294/5 - 231/5*l + 228/5*l**3 + 3/5*l**5 = 0.
-7, -2, -1, 1
Factor -27*g**3 - 729*g**2 + 0 - 6561*g - 1/3*g**4.
-g*(g + 27)**3/3
Let x(v) = v**4 - 1 + 1 - 25*v**3 + v**2 - 1 + 26*v**3. Let i(o) = -8*o**4 + 3*o**3 - 8*o**2 - 2*o + 5. Let h(r) = i(r) + 5*x(r). Factor h(p).
-p*(p - 2)*(p - 1)*(3*p + 1)
Suppose 7*n - 14 = -7*n. Factor -n - 4 + 24*m + 1 - 18*m - 2*m**2.
-2*(m - 2)*(m - 1)
Let o(n) be the first derivative of -1/5*n**5 + 5*n**2 - 1/2*n**4 - 9 - 1/30*n**6 - 2/3*n**3 + 0*n. Let a(k) be the second derivative of o(k). Factor a(w).
-4*(w + 1)**3
Let h be (0*4/(-20))/(-1). Let f(j) be the third derivative of 0 - 1/120*j**6 + 1/9*j**3 + j**2 - 1/180*j**5 + 1/24*j**4 - 1/630*j**7 + h*j. Factor f(p).
-(p - 1)*(p + 1)**2*(p + 2)/3
Let f(c) be the third derivative of c**7/1995 + 3*c**6/190 - 2*c**5/19 + 31*c**4/114 - 7*c**3/19 - 144*c**2 + 3*c. Factor f(l).
2*(l - 1)**3*(l + 21)/19
Let s(j) be the first derivative of 5*j**3/6 - 15*j**2/4 - 45*j - 475. Suppose s(z) = 0. What is z?
-3, 6
Let d(l) = l**3 + 2*l**2 - 12*l + 17. Let r be d(-5). Let t(v) be the first derivative of -2/15*v**3 + 8/5*v + 4/5*v**r - 1/10*v**4 - 2. Factor t(n).
-2*(n - 2)*(n + 1)*(n + 2)/5
Let h = 6 - 4. Let u = -6711/4 + 1678. Factor 1/4*g**h + 1/2*g + u.
(g + 1)**2/4
Let b(u) be the second derivative of 0*u**2 + 11/12*u**4 - 4 + 3*u + 0*u**3 + 1/20*u**5. Solve b(f) = 0.
-11, 0
Let v(x) be the first derivative of -x**3/21 + 25*x/7 + 442. Factor v(n).
-(n - 5)*(n + 5)/7
Factor 67*z - 85*z**2 - 116*z + 92*z + 37*z + 5*z**3.
5*z*(z - 16)*(z - 1)
Let g(p) be the first derivative of -3*p**4/32 + 3*p**3/4 - 27*p**2/16 - 67. Let g(q) = 0. Calculate q.
0, 3
Let w = 3439/4255 - 7/851. Factor -w*p**3 - 8/5*p + 12/5*p**2 + 0.
-4*p*(p - 2)*(p - 1)/5
Suppose f**3 + 9*f + 5*f**3 + 3 - 4*f**2 - 15*f**3 + 18*f**4 + 7*f**2 - 24*f**4 = 0. Calculate f.
-1, -1/2, 1
Find j such that 46/7*j**4 - 22/7*j**2 - 12/7*j + 12/7*j**5 + 24/7*j**3 + 0 = 0.
-3, -1, -1/2, 0, 2/3
Let i(u) = -8*u**2 + 3*u + 6. Let g be i(-3). Let f be (-20)/g - (-4)/10. Factor -f*o**2 + 0 - 4/3*o.
-2*o*(o + 2)/3
Let y be 115/200 - 8/(-64)*-4. Let b(i) be the second derivative of -1/60*i**6 + 0*i**3 - 1/12*i**4 + y*i**5 - 15*i + 0 + 0*i**2. Factor b(x).
-x**2*(x - 2)*(x - 1)/2
Factor -g**2 - 366 + 124 - 44*g - g**2.
-2*(g + 11)**2
Let c = -3487/164 - 20/41. Let l = c + 22. Factor -1/4 + 0*d + l*d**2.
(d - 1)*(d + 1)/4
Let f be ((-1)/2)/(((-6)/(-16))/(-3)). Factor 13*b**4 + 25*b**3 - b**5 - 33*b**f - 8*b**2 - 2*b**2 + 6*b**5.
5*b**2*(b - 2)*(b - 1)**2
Let h(w) be the third derivative of 9*w**2 - 1/60*w**5 + 0 + 1/6*w**4 - 1/2*w**3 + 0*w. Find s such that h(s) = 0.
1, 3
Let b(j) = 3*j**3 - 33*j**2 + 84*j - 78. Let s(v) = 3*v**3 - 31*v**2 + 83*v - 79. Let x(y) = 2*b(y) - 3*s(y). Determine z so that x(z) = 0.
3
Factor 1/3 - 3/2*f**2 + 17/6*f.
-(f - 2)*(9*f + 1)/6
Let g be (-14)/(-6) - 5/(-10)*2. Let b(o) be the second derivative of 1/5*o**5 + 4/3*o**4 + 4*o**2 + 0 - o + g*o**3. Factor b(v).
4*(v + 1)**2*(v + 2)
Let p(v) be the first derivative of -5*v**3/3 - 105*v**2/8 - 25*v/4 + 112. Find b such that p(b) = 0.
-5, -1/4
Let k(o) = o - 6. Let u be k(9). Factor -u*p**2 - p - 2*p**3 - 2*p**4 + 3*p**3 + 7*p**4 + 2 - 4*p**4.
(p - 1)**2*(p + 1)*(p + 2)
Let l be (9 + 1)/((-50)/20 + 6). Factor 2/7*q**2 + 18/7 + l*q.
2*(q + 1)*(q + 9)/7
Let f = -2/1697 - -1701/3394. Factor -f*c + 1/6*c**2 + 0.
c*(c - 3)/6
Determine j, given that 1839*j**2 + 3*j**4 - 9840*j - 1192*j**2 + 4636*j**2 + 4800 - 246*j**3 = 0.
1, 40
Let q = 5593/3 - 1862. Let x(r) be the first derivative of 2 + 65/16*r**4 + 7/8*r**6 - q*r**3 - 31/10*r**5 + 0*r + 1/2*r**2. Solve x(c) = 0 for c.
0, 2/7, 2/3, 1
Let m(g) be the third derivative of 0*g + 14*g**2 + 2/3*g**3 + 0 - 1/3*g**5 - 2/3*g**4. Find p such that m(p) = 0.
-1, 1/5
Let w(j) be the third derivative of -j**6/30 - 4*j**5/15 - j**4/6 + 4*j**3 + 134*j**2. Factor w(b).
-4*(b - 1)*(b + 2)*(b + 3)
Determine t so that 4*t + 53*t**2 - 10*t - 52*t**2 - 10*t + 64 = 0.
8
Let t = 2813/2 + -5625/4. Let a be (-1)/2 - 0 - -1. Let -r**2 - a + 5/4*r + t*r**3 = 0. Calculate r.
1, 2
Let q(t) be the first derivative of 11 - 2/51*t**3 + 0*t**2 - 1/102*t**4 - 11*t. Let g(m) be the first derivative of q(m). Factor g(s).
-2*s*(s + 2)/17
Let x = 7428 + -22274/3. Factor 4 + x*g + 2/3*g**2.
2*(g + 2)*(g + 3)/3
Suppose -2*a - 12 - 11 = -5*j, -2*j = -5*a - 5. Let v be -5 + (j + 5)/2. Factor -1/6*w**4 + 0*w**2 + 0 - 1/6*w**3 + v*w.
-w**3*(w + 1)/6
Let g(i) = -5*i**2 - 5*i - 4. Let z(j) = -2*j**2 - 2*j - 2. Let v be 27/12*8/(-3). Let w(n) = v*g(n) + 14*z(n). Solve w(t) = 0 for t.
-2, 1
Factor 66/17*r**2 - 2/17*r**3 + 512/17 - 576/17*r.
-2*(r - 16)**2*(r - 1)/17
Let y = -11051 - -11053. Factor 2*g**2 + y*g + 2/3 + 2/3*g**3.
2*(g + 1)**3/3
Let y(q) = -7*q**3 - 28*q**2 - 43*q - 2. Let m(c) = -c**3 + c**2 + c - 1. Suppose -12*g - 6 - 6 = 0. Let n(d) = g*y(d) + 2*m(d). Factor n(w).
5*w*(w + 3)**2
Let o = -82 - -82. Let s(h) be the second derivative of 1/40*h**5 - 4*h + 0*h**2 - 1/8*h**4 + 1/6*h**3 + o. Factor s(p).
p*(p - 2)*(p - 1)/2
Let d be (-11)/15*(-3366)/48. Let a(q) be the third derivative of -1331/70*q**7 + 35/2*q**4 + 6*q**2 + 0 + 0*q - 4*q**3 + d*q**6 - 429/10*q**5. Factor a(g).
-3*(g - 1)*(11*g - 2)**3
Let u(c) be the first derivative of -1/60*c**6 + 1/45*c**5 + 0*c**3 + 0*c + 0*c**4 + 5 + 1/2*c**2. Let v(h) be the second derivative of u(h). Factor v(t).
-2*t**2*(3*t - 2)/3
Let f be 3/18 + 7/(-6). Let a = f - -3. Factor c**2 + 2*c + c**3 - 5*c**3 - 3*c**a.
-2*c*(c + 1)*(2*c - 1)
Let m(p) be the second derivative of p**5/90 + 10*p**4/27 + 53*p**3/27 + 34*p**2/9 - 51*p + 1. Factor m(j).
2*(j + 1)*(j + 2)*(j + 17)/9
Let h(s) be the first derivative of 3/4*s**3 - 1/8*s**4 + s - 2 + 0*s**2. Let x(q) be the first derivative of h(q). Factor x(r).
-3*r*(r - 3)/2
Let h(v) 