 1/3*w**6 + 4/5*w**5. Factor i(z).
-2*z*(z - 1)**3*(z + 1)
Let h(i) be the first derivative of i**7/840 - i**6/180 - i**3/3 + i + 115. Let r(g) be the third derivative of h(g). Solve r(k) = 0.
0, 2
Let z(u) be the first derivative of 48*u + 141 + 15*u**5 + 120*u**3 - 60*u**4 - 3/2*u**6 - 120*u**2. Factor z(j).
-3*(j - 2)**4*(3*j - 1)
Suppose 0 = -17*z + z + 208. Factor -z*l**3 - l**4 + 40*l - 4*l**2 + l**3 - 28*l + 5*l**4.
4*l*(l - 3)*(l - 1)*(l + 1)
Let 17/2*j**3 + 40 + 42*j**2 + 74*j + 1/2*j**4 = 0. What is j?
-10, -4, -2, -1
Let i be (4/12 - 411/(-9))/2. Suppose 2*d + t - 6 = 0, 5*d - i - 7 = 5*t. Factor 28 + 2*w**2 - 2*w**2 - 20 - 4*w**2 - d*w.
-4*(w - 1)*(w + 2)
Let a = 51 - 52. Let i be (a/(-4))/(-16 - (-99)/6). Solve -i*r**2 + 2 + 0*r = 0.
-2, 2
Let a(i) be the first derivative of -i**3/3 + i + 11. Let l(v) = -5*v**3 + 130*v**2 - 235*v + 110. Let g(u) = 5*a(u) + l(u). Factor g(j).
-5*(j - 23)*(j - 1)**2
Factor 1/4*o**5 - 1/4*o**3 + 0*o - 1/4*o**4 + 1/4*o**2 + 0.
o**2*(o - 1)**2*(o + 1)/4
Let l(f) be the first derivative of -2*f**5/35 - 263*f**4/7 - 46462*f**3/7 - 137812*f**2/7 - 137288*f/7 - 3262. Factor l(j).
-2*(j + 1)**2*(j + 262)**2/7
Let q(c) = -45*c - 166. Let h be q(-4). Let i be h/(-105) - (-6)/45. Factor 0*s**2 + 3/7*s**5 + 0*s**4 + 0*s**3 + i*s + 0.
3*s**5/7
Suppose 2293*h = 2221*h + 288. Let p(c) be the second derivative of -1/30*c**5 + 0 - 2/9*c**h + 33*c - 1/3*c**3 + 0*c**2. Factor p(n).
-2*n*(n + 1)*(n + 3)/3
Let m(t) = t**3 - 6*t**2 + 6*t - 2. Let h be m(5). Suppose 0 = 7*p - h*p - 20. Factor -i**2 + 16*i**p + 20*i**3 - 4*i**2 - 36*i**4 + 4*i**3 + i**2.
4*i**2*(i - 1)**2*(4*i - 1)
Let l(c) = 13*c**2 - 107*c - 290. Let r(m) = -3*m**2 + m - 7. Let q(v) = l(v) + 4*r(v). Factor q(x).
(x - 106)*(x + 3)
Let m(v) = 10*v**3 + 15*v**2 - 8*v - 24. Let k(b) = -2*b**3 + 8 - 2*b**3 - 5*b**2 + b**3 + 2*b. Let l(q) = -7*k(q) - 2*m(q). Factor l(a).
(a - 1)*(a + 2)*(a + 4)
Find s, given that -94/5*s**4 + 0 + 28/5*s**3 + 48/5*s + 14/5*s**5 + 184/5*s**2 = 0.
-1, -2/7, 0, 2, 6
Let b(h) = -h**3 + 2*h**2 + 20*h - 5. Let t be b(6). Let o be 6/2 + (-29 - t). Factor 0*s + 1/3*s**2 + 0 - 1/3*s**o.
-s**2*(s - 1)/3
Let n be ((-7992)/259 - -32)/(-1 - (-9)/7). Let s(w) be the second derivative of 0 + 0*w**2 + 31*w + 1/30*w**n - 1/15*w**3. Find q, given that s(q) = 0.
0, 1
Let v(s) be the third derivative of -s**4/8 - s**3/6 + 17*s**2. Let b be v(-2). What is x in -3*x**b + 23 + 33*x - 3*x**4 - 23 + 42*x**2 + 9 + 18*x**3 = 0?
-1, 3
Let w(b) be the third derivative of b**5/30 + 1561*b**4/3 + 9746884*b**3/3 - 3*b**2 - 12*b + 2. Solve w(v) = 0.
-3122
Let t(y) = -11*y**2 - 154*y + 708. Let s(k) = 2*k**2 + k - 15. Let n(f) = -4*s(f) - t(f). Let n(w) = 0. Calculate w.
-54, 4
Let l = 222 - 218. Suppose -l*s = -5*s + 2*s. Factor s + 4/7*b**2 + 2/7*b**4 + 6/7*b**3 + 0*b.
2*b**2*(b + 1)*(b + 2)/7
Let w(x) = 13651*x + 163816. Let d be w(-12). Find f such that -9/4*f**2 + 3/4*f**d + 0*f**3 + 0 + 3/2*f = 0.
-2, 0, 1
Let s be 80/(-96)*((-22)/5 + 4). Let g(k) be the second derivative of 18*k - 1/12*k**4 + 1/120*k**6 + s*k**3 + 0*k**2 + 0 - 1/40*k**5. Factor g(i).
i*(i - 2)**2*(i + 2)/4
Factor -75/4*w + 207/2 + 1/4*w**2.
(w - 69)*(w - 6)/4
Let d(a) = a**4 - 3*a**3 + a**2 - a + 2. Let j(n) = 4*n**4 + 150*n**3 - 158*n + 4. Let i(c) = -4*d(c) + 2*j(c). Factor i(p).
4*p*(p - 1)*(p + 1)*(p + 78)
Factor -378 + 249/4*q**2 - 135/2*q + 3/4*q**3.
3*(q - 3)*(q + 2)*(q + 84)/4
Suppose -55225/7 - 164266/7*f**2 - 1/7*f**5 - 165205/7*f + 467/7*f**4 - 53818/7*f**3 = 0. Calculate f.
-1, 235
Let y(f) be the first derivative of -f**7/210 + f**6/30 - 2*f**4/3 + 17*f**3 + 55. Let a(b) be the third derivative of y(b). Suppose a(d) = 0. Calculate d.
-1, 2
Let m(u) = -u**3 - 3*u - 7. Let w(q) = q**3 - q**2 + 2*q + 6. Suppose 8*o - 6*o + 82 = 0. Let h = o + 45. Let r(s) = h*m(s) + 6*w(s). Factor r(b).
2*(b - 2)**2*(b + 1)
Factor -104/9*t**2 + 0 - 902/9*t - 2/9*t**3.
-2*t*(t + 11)*(t + 41)/9
Let s(f) be the first derivative of 9/2*f**2 + 76 + 30*f - f**3. Factor s(z).
-3*(z - 5)*(z + 2)
Let z(d) = -550*d**2 + 24*d**3 - 94*d**3 - 985*d - 15*d**3. Let t(r) = -7*r**3 - 46*r**2 - 82*r. Let m(x) = 25*t(x) - 2*z(x). Factor m(c).
-5*c*(c + 2)*(c + 8)
Let u be -1*(440/(-11) + 7). Suppose -u*l + 94 = -5. Suppose 3/5*p - 1/5*p**l + 2/5 + 0*p**2 = 0. What is p?
-1, 2
Let s(b) be the first derivative of -29*b**3/15 - 119*b**2/10 - 12*b/5 + 4429. Factor s(f).
-(f + 4)*(29*f + 3)/5
Let h = 27991 - 27972. Factor 3/4*b + 15/4*b**3 + 5/2 - h*b**2.
(b - 5)*(3*b + 1)*(5*b - 2)/4
Let a(m) be the first derivative of -m**3/12 - 55*m**2/8 + 126*m - 3409. Find v such that a(v) = 0.
-63, 8
Let q be (0/(1 - -4))/2. Suppose q = -5*v + 20 - 10. Solve 20*s**v + 16*s**5 + 7*s**4 + 8*s - s**4 - 2*s**4 - 48*s**3 = 0 for s.
-2, -1/4, 0, 1
Let w(r) be the first derivative of r**6/72 + 3*r**5/8 + 35*r**4/12 + 11*r**3 + 40. Let a(z) be the third derivative of w(z). Find b such that a(b) = 0.
-7, -2
Suppose 3*n = -4*j + 36, n - 12 = -2*n. Let z be (-6)/j*(-2 + -2)/2. Find g such that 3/5*g**3 - 15 + 9*g + 27/5*g**z = 0.
-5, 1
Let t(p) be the first derivative of 15*p**4/4 - 18*p**3 - 12*p**2 + 1237. Determine r, given that t(r) = 0.
-2/5, 0, 4
Let c(b) be the first derivative of 0*b**2 + 0*b + 2/3*b**6 + 120 + 4/5*b**5 + 0*b**4 + 0*b**3. Solve c(d) = 0.
-1, 0
Let w = 82515/12061 - -27/1723. Factor 51/7*c**2 + 88/7*c + w + 12/7*c**3 + 1/7*c**4.
(c + 1)*(c + 3)*(c + 4)**2/7
Let k be 2/((2 + -3)*(-1 - 3)). Let h(p) = 80*p + 400. Let c be h(-5). Solve c*l - k*l**2 + 9/2 = 0.
-3, 3
Let i = 8275799/56995 + -25/11399. Factor 99*o**2 + 72/5*o**3 + 0 + i*o + 3/5*o**4.
3*o*(o + 2)*(o + 11)**2/5
Let q be (-5)/(-1) - (22/(-88) + 42/8). Let s(a) be the first derivative of -1/9*a**3 + q*a + 4 + 1/3*a**2. Solve s(j) = 0.
0, 2
Find f, given that 328*f - 356*f**2 + 10197*f**3 - 20387*f**3 - 48 - 22*f**5 + 10196*f**3 + 92*f**4 = 0.
-2, 2/11, 1, 2, 3
Determine c so that -2/21*c**4 + 74/21*c**3 - 82/3*c**2 + 934/21*c - 144/7 = 0.
1, 8, 27
Let o(m) be the first derivative of -m**4/7 - 452*m**3/21 + 928*m**2/7 - 1872*m/7 + 2359. Determine g, given that o(g) = 0.
-117, 2
Let z(q) be the first derivative of -45 - 27/2*q**2 + 66*q - q**3. Factor z(x).
-3*(x - 2)*(x + 11)
Let f(u) = 14*u + 58. Let h be f(29). Factor -9383 - 1054*g**2 + 22839 - h*g + 1058*g**2.
4*(g - 58)**2
Factor 13/6*b**3 - 20*b**2 + 0 + 9/2*b.
b*(b - 9)*(13*b - 3)/6
Let k(x) be the third derivative of -x**8/224 + 9*x**7/70 + 27*x**6/80 - 7*x**5/2 - 57*x**4/4 - 13*x**2 - 50. Find b, given that k(b) = 0.
-2, 0, 3, 19
Let g(x) be the first derivative of -x**4/16 - 451*x**3/6 - 25312*x**2 + 102152*x + 2251. Factor g(v).
-(v - 2)*(v + 452)**2/4
Let y be (-7)/(105/(-480))*(-1)/(-4). Suppose -2*v - 4*s = -16, -5*v - y*s = 4 - 40. Factor -6/11*k**3 + 0*k + 0 + 4/11*k**2 + 2/11*k**v.
2*k**2*(k - 2)*(k - 1)/11
Let d be (-2)/39 + (-6216)/6552 + 21/((-14)/(-2)). Factor -24 - 1/2*v**d + 8*v.
-(v - 12)*(v - 4)/2
Let k(s) be the first derivative of 4*s**4 + 4*s**3/3 - 8*s**2 - 4*s + 296. Find h such that k(h) = 0.
-1, -1/4, 1
Let x = -134638/3 - -44882. Factor x*k**2 - 1/3*k**4 + 0*k + 0 - 2/3*k**3.
-k**2*(k - 2)*(k + 4)/3
Let k(l) be the first derivative of -l**3 - 69*l**2 + 288*l - 1698. Factor k(n).
-3*(n - 2)*(n + 48)
Let k(i) be the second derivative of -i**7/14 + 11*i**6/10 - 27*i**5/10 - i**4/2 + 19*i**3/2 - 27*i**2/2 + 9*i - 3. Let k(w) = 0. Calculate w.
-1, 1, 9
Let g(k) be the second derivative of 4/27*k**3 + 1 - 158*k - 4/3*k**2 + 1/54*k**4. Factor g(x).
2*(x - 2)*(x + 6)/9
Determine c, given that 46/7*c**2 + 0 + 16/7*c**3 + 8/7*c**5 - 34/7*c**4 - 12/7*c = 0.
-1, 0, 1/4, 2, 3
Let k(f) be the second derivative of -f**4/4 - 113*f**3/2 - 168*f**2 + 813*f - 1. Factor k(c).
-3*(c + 1)*(c + 112)
Let c(r) be the second derivative of 1/18*r**4 + 0*r**2 + 1/120*r**5 + 0 - 22*r + 1/12*r**3. Find h, given that c(h) = 0.
-3, -1, 0
Let g(z) be the third derivative of z**8/672 - z**7/84 + z**5/6 - z**4/3 - 1353*z**2. Determine a so that g(a) = 0.
-2, 0, 1, 2, 4
Let v = 5 - 3. Find s, given that -35 - 179*s - 69*s**v - 4*s**4 - 36*s**3 - 61 - 51*s**2 + 3*s = 0.
-3, -2
Let p(d) be the first derivative of -2*d**5 + d**4/2 + 10*d**3 + 7*d**2 - 4*d + 1400. Suppose p(g) = 0. Calculate g.
-1, 1/5, 2
Let c(