ctor 33/2*c - 27/2*c**2 + 30.
-3*(c + 1)*(9*c - 20)/2
Let i(k) be the third derivative of 0 - 1/210*k**5 + 0*k**3 - 23*k**2 + 0*k - 1/84*k**4. Find d, given that i(d) = 0.
-1, 0
Let s be ((-71)/(213/24))/(-5 + 1). Factor 0*p - 2/3*p**3 + 0 + 4*p**s.
-2*p**2*(p - 6)/3
Let w = -2/26469 - -105890/185283. Find c, given that -16/7*c + 0 + 2/7*c**3 - w*c**2 = 0.
-2, 0, 4
Factor -2*g**2 + 6*g**2 + 355 + 11 - 88*g + 118.
4*(g - 11)**2
Let p = 9461 + -104068/11. Find h, given that 1/11*h**2 - p*h + 0 = 0.
0, 3
Let a(s) = 2*s**4 + 2*s**3 + 4*s - 4. Let l(r) = -5*r**4 + 2*r**4 - 7*r - 5*r**3 + 23 - 16. Let c(i) = -7*a(i) - 4*l(i). What is p in c(p) = 0?
0, 3
Factor -6 - 9/2*q**2 + 3/4*q**3 + 9*q.
3*(q - 2)**3/4
Let a = -43/145 + -3/29. Let z = 4/15 - a. Factor -2/3*b**3 + 0 + 0*b**2 + z*b.
-2*b*(b - 1)*(b + 1)/3
Let u(t) be the first derivative of -4*t**3/3 + 28*t**2 - 196*t + 65. Factor u(m).
-4*(m - 7)**2
Let c(j) be the first derivative of j**5/30 + j**4/6 + j**3/3 + j**2/3 - 3*j - 7. Let v(d) be the first derivative of c(d). Determine w, given that v(w) = 0.
-1
Let j be (-6)/4 - (-14)/4. Suppose -c = -0*c - j. Solve -k**2 - c*k**3 + 2*k**4 - k**4 + 2*k**2 = 0 for k.
0, 1
Let z(q) be the third derivative of q**8/1512 - 13*q**7/945 + 11*q**6/270 + q**5/135 - 23*q**4/108 + 11*q**3/27 + 211*q**2 - q. Solve z(d) = 0.
-1, 1, 11
Let x(s) be the second derivative of -2*s**6/15 + 6*s**5/5 - s**4 - 20*s**3/3 - 10*s. Find i, given that x(i) = 0.
-1, 0, 2, 5
Factor y**2 + 7/5*y**4 - 11/5*y**3 + 0*y + 0 - 1/5*y**5.
-y**2*(y - 5)*(y - 1)**2/5
Let t(k) be the first derivative of k**6/72 - k**5/8 + 5*k**4/12 + 19*k**3/3 - 22. Let x(m) be the third derivative of t(m). Factor x(w).
5*(w - 2)*(w - 1)
Let j(b) be the third derivative of b**5/360 - 5*b**4/144 + b**3/9 - 75*b**2. Factor j(a).
(a - 4)*(a - 1)/6
Let l(q) be the third derivative of 1/135*q**6 + 0 + 16*q**2 - 5/108*q**4 + 1/1512*q**8 - 2/27*q**3 - 1/135*q**5 + 4/945*q**7 + 0*q. Factor l(h).
2*(h - 1)*(h + 1)**3*(h + 2)/9
Factor -4 + 12/5*c**2 - 2/5*c**3 - 6/5*c.
-2*(c - 5)*(c - 2)*(c + 1)/5
Let w(s) be the third derivative of s**9/20160 + s**8/672 + 5*s**7/336 - 31*s**5/60 - 22*s**2. Let f(u) be the third derivative of w(u). Factor f(q).
3*q*(q + 5)**2
Let j = 28972/9 + -3219. Factor 2/9*h**3 - 2/9*h**2 + 1/9 - 1/9*h + j*h**4 - 1/9*h**5.
-(h - 1)**3*(h + 1)**2/9
Let z be 30/(-25) - (-48)/15. Factor 2/11*a + 4/11 - 2/11*a**z.
-2*(a - 2)*(a + 1)/11
Factor -1/3*k**3 - 1/3*k**2 + 0 + 2/3*k.
-k*(k - 1)*(k + 2)/3
Let x(w) be the first derivative of -w**4/22 - 2*w**3/11 + 24*w**2/11 - 56*w/11 + 32. Factor x(q).
-2*(q - 2)**2*(q + 7)/11
Let y = 155 - 89. Let n = 336/5 - y. Suppose 2/5*s**4 + 0 - 2/5*s**2 - 6/5*s**5 + n*s**3 + 0*s = 0. What is s?
-1, 0, 1/3, 1
Let l = -19 + 30. Let g = l + -3. Factor -g*q - 5 + 2 + 2 - 2*q - 25*q**2.
-(5*q + 1)**2
Let b be 75/10 - (-3)/(-6). Suppose 0 = -4*f - f + t + b, 0 = -4*f + 4*t - 4. Factor 0 - 1/6*u + 1/3*u**f - 1/6*u**3.
-u*(u - 1)**2/6
Let b(p) be the second derivative of p**5/80 - 5*p**4/6 + 37*p**3/6 - 18*p**2 - 291*p. Let b(y) = 0. Calculate y.
2, 36
Factor -12/5*p + 1/5*p**2 + 4.
(p - 10)*(p - 2)/5
Let x be (3/(-10))/((-12)/10). Suppose -36*g - 176 = -80*g. Find z such that x*z**2 - 1/4*z**3 + 1/4*z - 1/4*z**g + 0 = 0.
-1, 0, 1
Let h(l) be the third derivative of -l**6/225 + 7*l**5/150 - l**4/9 + 103*l**2. Factor h(t).
-2*t*(t - 4)*(4*t - 5)/15
Suppose -331*h + 345*h = 0. Determine r, given that 12/5*r**3 + h - 3/5*r**4 - 3*r**2 + 6/5*r = 0.
0, 1, 2
Let s(m) be the first derivative of -m**3/4 + 27*m**2/8 - 6*m - 143. Let s(g) = 0. Calculate g.
1, 8
Let p(r) = -10*r**2 + 10 + 17*r**2 - 4 + 3*r. Let k(b) = -4*b**2 - b - 3. Let h(n) = 5*k(n) + 3*p(n). Factor h(v).
(v + 1)*(v + 3)
Let v = 3/5 + -1/10. Let o(t) be the first derivative of 5/8*t**4 - 1/2*t**2 - 7 + v*t**3 + 0*t. Suppose o(x) = 0. What is x?
-1, 0, 2/5
Let w = -12 + 3. Let s = 11 + w. Solve -5*l**2 - 79*l**2 + 8 - 108*l - 81*l**3 - 32 - 78*l**s = 0 for l.
-2/3
Let -13363 - 635*f**2 - 5*f**3 - 6482 - 20475*f + 0*f**3 = 0. Calculate f.
-63, -1
Let p(h) be the third derivative of -h**6/210 - 4*h**5/105 + h**4/42 + 8*h**3/21 - 16*h**2. Factor p(g).
-4*(g - 1)*(g + 1)*(g + 4)/7
Let f(b) be the first derivative of -5*b**6/6 + 4*b**5 - 5*b**4/2 - 20*b**3/3 + 15*b**2/2 - 351. Suppose f(k) = 0. Calculate k.
-1, 0, 1, 3
Let g(h) be the second derivative of -h**7/28 + h**6/20 + 3*h**5/8 - h**4/8 - 2*h**3 - 3*h**2 + 40*h. Determine r, given that g(r) = 0.
-1, 2
Let d(w) = -w**2 - 10*w. Let h(r) = 4*r**2 + 40*r. Let o(z) = 9*d(z) + 2*h(z). Let o(l) = 0. Calculate l.
-10, 0
Let x(s) be the second derivative of -s**7/1260 + s**5/60 + 5*s**4/4 + 17*s. Let g(v) be the third derivative of x(v). Factor g(m).
-2*(m - 1)*(m + 1)
Let d(m) be the first derivative of 8/9*m**3 + 8/3*m**4 + 0*m + 0*m**2 + 2/3*m**5 + 36 - 7/9*m**6. Suppose d(g) = 0. Calculate g.
-1, -2/7, 0, 2
Let q be -3*(8/6 - 0). Let o = 6 + q. Let o*f**3 - 4*f**3 - f**5 + f**4 + 2*f**3 = 0. Calculate f.
0, 1
Let b(w) be the first derivative of -w**6/2340 + w**5/195 + 5*w**4/156 + 4*w**3 + 18. Let a(m) be the third derivative of b(m). Let a(z) = 0. What is z?
-1, 5
Let u(b) = -4*b**2 + 60*b + 96. Let r(f) = -f**2 + f + 1. Let v(n) = 8*r(n) - u(n). Solve v(y) = 0.
-11, -2
Let h(b) be the first derivative of b**6/780 + b**5/195 + b**4/156 + 27*b**2/2 - 5. Let x(u) be the second derivative of h(u). Factor x(c).
2*c*(c + 1)**2/13
Suppose -4*b**3 - 36*b**4 + 11*b**3 + 6*b**5 + 26*b**4 - 8*b**5 + 5*b**3 = 0. Calculate b.
-6, 0, 1
Let d(m) be the third derivative of 4*m**2 + 0 - 2/9*m**3 + 0*m + 1/90*m**5 + 1/36*m**4. Factor d(y).
2*(y - 1)*(y + 2)/3
Let 9/8*a**2 - 3/8*a**3 + 9/2 + 6*a = 0. Calculate a.
-2, -1, 6
Let x be 4/(-2)*-3 - 7 - -5. Solve -1/3 - 1/3*m**5 + m - 2/3*m**3 + m**x - 2/3*m**2 = 0 for m.
-1, 1
Let s = 18 + -16. Let 1 - 4*y**s + 6*y**2 - y - y - y**2 = 0. What is y?
1
Determine q so that -2/7*q**3 - 96/7*q**2 + 0 + 0*q = 0.
-48, 0
Determine c so that -97*c + 39*c**3 - 79*c - 111*c**2 + 158*c = 0.
-2/13, 0, 3
Let y(l) be the second derivative of 8*l**6/5 - 23*l**5/5 - 2*l**4/3 - 2*l - 18. Factor y(w).
4*w**2*(w - 2)*(12*w + 1)
Let y be (-1 - 5)/(-80 + 60). Let g(t) be the second derivative of -4*t - 1/5*t**3 + 0 - y*t**2 - 1/20*t**4. Factor g(n).
-3*(n + 1)**2/5
Suppose 4*m - 4*q = 0, -10*m + q = -11*m + 4. Let c(b) = -b**2 + 5*b - 4. Let f be c(m). Factor 5/2*i**4 + 8*i - 15/2*i**f - i**3 - 2.
(i - 1)**2*(i + 2)*(5*i - 2)/2
Let q be (((-8)/(-3))/(760/(-228)))/(2/(-5)). Solve -1/4*a**3 - 1/2*a**q + 1/2*a**4 + 0 + 1/4*a = 0.
-1, 0, 1/2, 1
Suppose 2*k + 38 = 3*t, 4*t - 56 = 5*k - k. What is r in -25*r + t*r**3 + 14 + 7*r**2 + 1 - 2*r**2 - 5*r**3 = 0?
-3, 1
Let r(f) = -2*f + 123. Let g be r(34). Let a = -161/3 + g. Solve a*c - c**2 + 4/3 - 2/3*c**3 + 1/3*c**4 = 0 for c.
-1, 2
Let q = -70859/39 + 1817. Let v(t) be the first derivative of -q*t**3 - 3/13*t**2 - 2/13*t - 6. Let v(n) = 0. What is n?
-1, -1/2
Suppose -9 = 4*c - 25. Let -8 - c*s**3 - 20*s - 12 - 6*s**3 + 35*s**2 = 0. What is s?
-1/2, 2
Let j = -17 - -11. Let z = j + 9. Factor 8*a**5 - z*a**5 - a**4 - 4*a**4.
5*a**4*(a - 1)
Factor -36/7*n**3 - 8/7*n - 4/7*n**5 + 20/7*n**4 + 4*n**2 + 0.
-4*n*(n - 2)*(n - 1)**3/7
Let u be ((-10)/54*-3)/((-697)/(-51) + -12). Factor 1 + 5/3*r**2 - 7/3*r - u*r**3.
-(r - 3)*(r - 1)**2/3
Let g(p) be the second derivative of 3*p**5/80 - 3*p**4/16 + 3*p**2/2 + 3*p + 51. Factor g(i).
3*(i - 2)**2*(i + 1)/4
Let l(a) be the first derivative of -3*a**4/8 - 9*a**3/2 - 21*a**2/2 + 36*a - 102. Factor l(s).
-3*(s - 1)*(s + 4)*(s + 6)/2
Let b(u) = 4*u**2 + 4. Let n be b(-3). Suppose -7*o + 2*o = -n. Let 0*p**4 + 5*p**5 + o*p**4 - 4*p - 8*p**2 - p**5 = 0. What is p?
-1, 0, 1
Determine l, given that 7*l**4 + l**5 + 131*l**2 - 131*l**2 - 6*l**4 - 7*l**3 - 13*l**3 = 0.
-5, 0, 4
Let g(m) be the first derivative of 33/5*m + 18/5*m**2 - 19 + 1/5*m**3. Suppose g(s) = 0. What is s?
-11, -1
Factor -13 - 13*o - 18*o + 3*o**3 - 29 + 7*o**2 + 5*o**2 - 2*o**3.
(o - 3)*(o + 1)*(o + 14)
Let n = 26077 + -52153/2. Factor -n*b + 0 - 1/2*b**2.
-b*(b + 1)/2
Let t(o) be the third derivative of -7*o**6/24 + 25*o**5/12 - 65*o**4/12 + 20*o**3/3 - o**2 - 7*o. Suppose t(l) = 0. What is l?
4/7, 1, 2
Let w = 10