 1. Let n(h) be the second derivative of w(h). Factor n(c).
-c*(c - 1)**2/4
Let q(c) be the third derivative of 1/16*c**5 - 5*c**2 + 0*c - 7/32*c**4 + 7/160*c**6 - 3/4*c**3 + 0 + 1/280*c**7. Find k, given that q(k) = 0.
-6, -1, 1
Let p(h) = -2*h**5 + 6*h**4 + 15*h**3 + 7*h**2 - 3*h + 3. Let s(k) = -3*k**5 + 13*k**4 + 30*k**3 + 14*k**2 - 5*k + 5. Let y(w) = 5*p(w) - 3*s(w). Factor y(q).
-q**2*(q + 1)**2*(q + 7)
Let y(k) be the third derivative of k**8/140 - 41*k**7/525 + 41*k**6/300 + 52*k**5/75 + 4*k**4/15 + 47*k**2. Determine f so that y(f) = 0.
-1, -1/6, 0, 4
Let g = -3 - -3. Suppose 3*y + 40 = 5*v, -2*v + g*y = 3*y + 5. Factor -6*f**3 - 2*f**v + 6*f**4 - 6 - 6 + 12 + 2*f**2.
-2*f**2*(f - 1)**3
Let g(u) be the third derivative of -5*u**8/336 + u**7/14 - u**6/12 + 39*u**2. Factor g(l).
-5*l**3*(l - 2)*(l - 1)
Let z(c) be the first derivative of 3*c**4/4 - 16*c**3 + 87*c**2/2 - 42*c - 51. Let z(o) = 0. What is o?
1, 14
Suppose r - 4*m - 4880 = 0, 3*m + 0*m + 4878 = r. Suppose -5*t + r = -1943. Factor 1363 - 4*u**3 - t + 12*u**2.
-4*u**2*(u - 3)
Let n(o) be the second derivative of 1/90*o**5 - 20/9*o**2 + 0 + 38*o - 16/27*o**3 - 1/54*o**4. Factor n(d).
2*(d - 5)*(d + 2)**2/9
Let t(i) = -2*i**3 - 2*i**2 + 2*i. Let k be t(-2). Let g be 15/6 + 3/(36/(-6)). Factor v**2 - k*v + g*v + 3*v.
v*(v + 1)
Let g(c) be the third derivative of 27*c**8/448 - 13*c**7/56 + 5*c**6/18 - c**5/6 + 5*c**4/12 - 31*c**2. Let b(o) be the second derivative of g(o). Factor b(n).
5*(n - 1)*(9*n - 2)**2
Let x(y) = 3*y**3 - 5*y**2 + 3*y - 1. Let s(l) be the first derivative of 2*l - 3*l**2 + 11/3*l**3 - 7/4*l**4 - 6. Let z(q) = 6*s(q) + 15*x(q). Factor z(c).
3*(c - 1)**3
Let o(g) = g**3 - 2*g**2 - 6. Let d be o(3). Suppose -h**3 - 893*h + 894*h + 2*h**2 - 2 + 0*h**d = 0. Calculate h.
-1, 1, 2
Let q(j) be the third derivative of j**5/30 + 23*j**4/12 + 20*j**3 + 3*j**2 + 57*j. Factor q(t).
2*(t + 3)*(t + 20)
Let x(s) = -5*s - 10. Let h(g) = -g. Let n(z) = 6*h(z) - x(z). Let p be n(6). Determine v so that 3 + 3*v**p - 11*v - 9 + 0*v - 4*v - 9*v**2 + 3*v**3 = 0.
-1, 2
Let k(m) = m**2 - 2*m. Let y be k(3). Find o such that 120*o**y + 3 - 125*o**3 + 15*o + 7 = 0.
-1, 2
Let g = -2/733 + 737/1466. Let z(q) be the first derivative of -2/3*q**3 + 2/5*q**5 + g*q**4 - 1/3*q**6 + 0*q**2 + 0*q + 4. Find c, given that z(c) = 0.
-1, 0, 1
Let r(s) be the second derivative of s**7/1260 - s**6/180 + s**5/60 - 9*s**4/4 + 41*s. Let o(d) be the third derivative of r(d). Factor o(t).
2*(t - 1)**2
Let v(b) be the second derivative of -b**7/525 - b**6/300 + b**5/75 - 13*b**2/2 - 14*b. Let x(w) be the first derivative of v(w). Factor x(p).
-2*p**2*(p - 1)*(p + 2)/5
Let i(t) be the second derivative of t**4/3 - 18*t**3 + 52*t**2 + 35*t - 1. Solve i(h) = 0 for h.
1, 26
Let k(s) be the first derivative of -3*s + 0*s**2 + 1/120*s**5 - 1/36*s**3 + 0*s**4 + 7. Let v(c) be the first derivative of k(c). Solve v(u) = 0.
-1, 0, 1
Suppose -4*t + 5*l - 12 = -0*l, 0 = l - 4. Factor -2*h**t + 9*h**2 + 16*h - 9*h**2.
-2*h*(h - 8)
Let p(j) be the third derivative of -j**7/42 + 2*j**5 + 40*j**4/3 + 40*j**3 + 148*j**2. Let p(c) = 0. What is c?
-2, 6
Factor -129/2*r + 3/2*r**2 - 66.
3*(r - 44)*(r + 1)/2
Factor 2/13*m**3 + 0*m + 0 - 12/13*m**2 + 2/13*m**4.
2*m**2*(m - 2)*(m + 3)/13
What is a in 222 + 128*a + 3*a**2 + 2*a**2 - a**2 + 318 = 0?
-27, -5
Let x be ((-1)/(-1))/(4/(-80)). Let a be 1 - (6/132)/(2/x). Suppose 8/11*c**2 + 10/11*c**4 - a*c**3 + 0 - 2/11*c**5 + 0*c = 0. What is c?
0, 1, 2
Let n(j) be the first derivative of -7*j**4/4 - 79*j**3/3 - 95*j**2 - 48*j + 242. Suppose n(y) = 0. Calculate y.
-8, -3, -2/7
Let w(p) be the second derivative of 1/2*p**2 - 1/3*p**3 - 15*p + 0*p**4 + 1/10*p**5 + 0 - 1/30*p**6. Factor w(y).
-(y - 1)**3*(y + 1)
Suppose 0 = 4*o - 0*b + 4*b + 28, 5*o + 14 = 2*b. Let m be (-26)/o - 2/4 - 2. Solve -4/11*d**3 - 2/11*d**m + 0 + 0*d - 2/11*d**2 = 0.
-1, 0
Let u(r) be the third derivative of r**7/1050 + r**6/600 - r**5/300 - r**4/120 - 28*r**2. Suppose u(m) = 0. What is m?
-1, 0, 1
Factor -27/5 - 13/5*w**2 + 39/5*w + 1/5*w**3.
(w - 9)*(w - 3)*(w - 1)/5
Let i(s) be the first derivative of 3/7*s**4 - 5/14*s**6 - 46 + 10/7*s**3 - 6/7*s - 24/35*s**5 + 3/14*s**2. Determine z, given that i(z) = 0.
-1, 2/5, 1
Let r(t) = t**2 - 14*t + 60. Let u(q) = 15*q - 60. Let j(s) = -5*r(s) - 6*u(s). Find z such that j(z) = 0.
-6, 2
Determine t so that -112/3*t + 110/3 + 2/3*t**2 = 0.
1, 55
Let b(x) be the third derivative of 1/3*x**3 - 41*x**2 - 1/96*x**4 + 1/480*x**6 + 0*x + 0 - 1/30*x**5. Factor b(g).
(g - 8)*(g - 1)*(g + 1)/4
Let v(n) be the second derivative of 3*n + n**2 + 0 + 1/6*n**3 - 1/120*n**5 - 1/48*n**4. Let g(y) be the first derivative of v(y). Let g(d) = 0. What is d?
-2, 1
Let p = 27/1552 + 1/291. Let r(s) be the third derivative of 1/40*s**5 - 1/240*s**6 + 0 - 1/4*s**3 + 0*s + 6*s**2 + p*s**4. Factor r(m).
-(m - 3)*(m - 1)*(m + 1)/2
What is o in 15/2*o**2 + 0 - 45/2*o + 5/2*o**4 + 25/2*o**3 = 0?
-3, 0, 1
Let 29 + 2*i**2 - i**2 + 19*i - 11*i + 0*i**2 + 22*i = 0. Calculate i.
-29, -1
Suppose 494 = q + q. Let j = 3707/15 - q. Factor j*d + 2/15*d**2 + 0.
2*d*(d + 1)/15
What is b in 6*b**2 - 5*b**2 + 4*b**2 + 5*b - 23 + 13 = 0?
-2, 1
Let o(h) be the third derivative of h**7/140 + h**6/20 - 11*h**5/40 - 15*h**4/8 + 2*h**2 + 230. Suppose o(y) = 0. What is y?
-5, -2, 0, 3
Let b be (3/18 + (10 - 824/80))*-15. Factor -2/17*a**b - 2/17*a**3 + 2/17 + 2/17*a.
-2*(a - 1)*(a + 1)**2/17
Let j(r) be the first derivative of r**7/70 + 3*r**6/70 + 3*r**5/140 - r**4/28 + 5*r**2/2 + 9. Let l(q) be the second derivative of j(q). Solve l(n) = 0 for n.
-1, 0, 2/7
Let q = 0 - -2. Suppose 4*b + k - 18 = 0, -q*k = k + 6. Find c such that -4/13*c**3 + 0*c**4 + 0 + 0*c**2 + 2/13*c + 2/13*c**b = 0.
-1, 0, 1
Let j(k) be the third derivative of -k**6/840 + 11*k**5/420 - 13*k**4/56 + 15*k**3/14 - 359*k**2. Suppose j(d) = 0. What is d?
3, 5
Let m(h) be the third derivative of 0*h**4 + 1/448*h**8 + 0 + 11*h**2 + 0*h**5 + 0*h**6 + 0*h**3 - 1/280*h**7 + 0*h. Factor m(f).
3*f**4*(f - 1)/4
Let r(y) be the first derivative of 54*y**5/5 - 27*y**4/2 - 84*y**3 - 100*y**2 - 48*y - 46. Find d such that r(d) = 0.
-2/3, 3
Let p(k) be the second derivative of 3*k**5/40 - 3*k**4/4 + 2*k - 144. Let p(r) = 0. What is r?
0, 6
Factor 6/5*b**2 + 4/5*b**3 + 16/5 - 36/5*b.
2*(b - 2)*(b + 4)*(2*b - 1)/5
Let v(a) be the third derivative of a**8/126 - 2*a**7/315 - a**6/90 + 37*a**2. Suppose v(x) = 0. What is x?
-1/2, 0, 1
Let h be (12/(-36))/((-6)/27). Factor 3*p + 0 - h*p**2.
-3*p*(p - 2)/2
Let k(f) be the first derivative of -1/5*f**4 - 2 - 3*f**2 - 4/15*f**3 + 0*f - 1/30*f**5. Let w(b) be the second derivative of k(b). Factor w(o).
-2*(o + 2)*(5*o + 2)/5
Let j(t) = -9*t + 63. Let o be j(9). Let u be (-126)/(-28)*(-1)/o*3. Solve -u*a**2 - 5/4*a + 1/4*a**4 - 3/2*a**5 + 1/2 + 11/4*a**3 = 0 for a.
-1, 1/2, 2/3, 1
Factor -24/11 + 2/11*t**3 + 14/11*t**2 + 8/11*t.
2*(t - 1)*(t + 2)*(t + 6)/11
Let z(v) be the second derivative of 0*v**3 + 1/24*v**4 - 1/60*v**6 + 1/40*v**5 + 0 + 0*v**2 + 14*v - 1/84*v**7. Factor z(w).
-w**2*(w - 1)*(w + 1)**2/2
Suppose 3*d + 5*t - 3 - 18 = 0, -4*t + 2 = -5*d. Determine x, given that 11 - 8 - 75*x - 3 - 5*x**d = 0.
-15, 0
Let t be (-24)/(-10)*((-14904)/(-336) - 44). Factor t*y**2 + 12/7 + 18/7*y.
6*(y + 1)*(y + 2)/7
Let p(x) = 36*x - 70. Let l be p(2). Factor 4/5*s - 2/5 - 2/5*s**l.
-2*(s - 1)**2/5
Let a(k) be the first derivative of -15 - k**3 - 1/2*k - 7/4*k**2. Let a(h) = 0. What is h?
-1, -1/6
Let r be (-30)/(-6) - (-14)/(-3). Let v(n) be the third derivative of 0*n + 5/24*n**4 + 7/60*n**5 - n**2 + 0 - r*n**3. Let v(j) = 0. What is j?
-1, 2/7
Let s = 12 - 7. Let y = 42 + 2. Factor y*u**s - 4*u**2 + 0*u**2 - 42*u**5 - 2*u + 4*u**4.
2*u*(u - 1)*(u + 1)**3
Let f(m) = -6*m - 9. Let s be f(9). Let t be s/(-14)*(-4)/(-15). Let -t*a - 1/5 - a**2 = 0. Calculate a.
-1, -1/5
Suppose 22*h - 869 = 11*h. Let n = 79 - h. Let -25/4*u**3 + 5*u**2 - u + n = 0. Calculate u.
0, 2/5
Let t(x) = x**2 - 34*x - 12. Let i(q) = q**2 - 67*q - 21. Let a(u) = -4*i(u) + 7*t(u). Factor a(n).
3*n*(n + 10)
Let g(o) be the third derivative of o**4/24 + 5*o**3/6 - 3*o**2. Let m be g(-3). Factor -3*p**4 + 6*p**m + 15*p**3 + 7*p**4 + 3*p**5 + 8*p**4.
3*