be the third derivative of 3/10*z**5 - 1/6*z**4 + 0 + 0*z**m - 1/56*z**8 - 10*z**2 - 1/4*z**6 + 11/105*z**7 + 0*z. Factor c(n).
-2*n*(n - 1)**3*(3*n - 2)
Let h be (-12)/(-10) - (-196)/70. Let -1/5*q**h + 11/5*q + 6/5 + 3/5*q**2 - 3/5*q**3 = 0. Calculate q.
-3, -1, 2
Suppose -27 = -5*a + w, -52*a + 56*a - 4*w - 12 = 0. Let d(p) be the first derivative of 3*p**3 + 3/4*p**4 + 6*p - 3/5*p**5 - 15/2*p**2 - a. Factor d(u).
-3*(u - 1)**3*(u + 2)
Let h(y) = 5*y + 50. Let b be h(-10). Suppose -g + 5*f = 1, 0 = -2*g - 4*f - f + 73. Find v such that b - 3*v**3 - 15*v**2 - 3 - g*v - 9 = 0.
-2, -1
Let q(m) = -m**3 + 5*m**2 + 2*m - 6. Let z be q(4). Let w be (-2)/9 - (-76)/z. Factor -b**2 - w*b**2 + 13*b**2 - 6*b - 5*b**2 + 3.
3*(b - 1)**2
Let o be (-144)/(-1296)*(((-4)/(-4) - -4) + -4). Let -7/9*k - o*k**2 + 0 = 0. Calculate k.
-7, 0
Let x(p) = p**2 - 6*p. Let g(r) be the third derivative of r**5/30 - 3*r**4/4 - 4*r**2. Let s(z) = 2*g(z) - 7*x(z). Factor s(q).
-3*q*(q - 2)
Let c(r) be the second derivative of r**4/108 + 41*r**3/27 + 1681*r**2/18 - 163*r. Suppose c(k) = 0. What is k?
-41
Let v(b) be the first derivative of 5/6*b**6 + 11 - 15/4*b**4 - b**5 + 5*b**2 + 5/3*b**3 + 0*b. Factor v(k).
5*k*(k - 2)*(k - 1)*(k + 1)**2
Let w = 1 - -11. Suppose -l - y - w = 3*y, 2*l = -2*y - 6. Find f, given that -1 - f + 0*f**2 - f**2 + l + 3 = 0.
-2, 1
Suppose -3*f = -4 - 5. Let i = 11 + f. Factor c**2 - 3*c**2 - i*c + 2 + 4 + 18*c.
-2*(c - 3)*(c + 1)
Let x = 92/237 - 13/237. Factor 1/3*o**2 + 0 + 2/3*o - x*o**3.
-o*(o - 2)*(o + 1)/3
Let u be 0/10 - -1*4. Suppose 2*c - u = -0*c. Factor 8/3*q - 4/3 - 4/3*q**c.
-4*(q - 1)**2/3
Let u = 1/3215 + 12847/41795. Let 0*c**2 - 4/13*c**3 + 2/13 + u*c - 2/13*c**4 = 0. Calculate c.
-1, 1
Factor -4/7*o**2 - 2/7*o**3 + 0 + 0*o.
-2*o**2*(o + 2)/7
Let y(p) be the first derivative of 2*p**2 + 3 - 8/3*p**3 + p**4 + 0*p. Factor y(s).
4*s*(s - 1)**2
Let z be 24/15*25/240. Factor -z - 5/6*v - 7/6*v**2 - 1/2*v**3.
-(v + 1)**2*(3*v + 1)/6
Suppose 2*l + 4*w = -16, -5*l + 20 = -w + 5. Factor 8*d**l - 11*d**2 + 6*d**2 - 3.
3*(d - 1)*(d + 1)
Let o(y) be the third derivative of -1/285*y**5 - 1/57*y**3 + 0 + 0*y - 19*y**2 - 1/76*y**4. Suppose o(i) = 0. What is i?
-1, -1/2
Let h be ((-153)/204)/(-2 + 14/8). Let y be (1 + 3)*(-9)/(-4). Factor -13*i - 1 - h - 21*i**2 - 3*i**2 - y*i.
-2*(3*i + 2)*(4*i + 1)
Let y be (15/4)/(33/24 - 1). Suppose -k - y = -4*w - 3*k, -5*w - 4*k + 20 = 0. Let 0*v**2 + 2/5*v**3 + 0*v + w = 0. Calculate v.
0
Let z(a) = 9*a - 25. Let x(q) = q**2 + 19*q - 17. Let h be x(-20). Let c be z(h). Suppose 4/7*d**c + 0*d**3 + 2/7*d**5 - 4/7*d**4 + 0 - 2/7*d = 0. Calculate d.
-1, 0, 1
Let h(f) be the second derivative of 2/25*f**5 - 35*f + 0*f**2 - 1/150*f**6 + 3/20*f**4 + 0*f**3 + 0. Factor h(q).
-q**2*(q - 9)*(q + 1)/5
Let l be (-12)/15*5/(-2). Factor -l*j**2 - 2*j**2 + 16*j - 12*j.
-4*j*(j - 1)
Let d(l) be the third derivative of -l**9/1512 + l**7/140 + l**6/90 + 5*l**3/3 - 22*l**2. Let q(z) be the first derivative of d(z). Factor q(c).
-2*c**2*(c - 2)*(c + 1)**2
Let n(v) = v**2 + 4*v + 5. Let z be n(-3). Suppose 5*x = -3*o + 6, 0 = -o - 0*o - 2*x + z. Factor -6/5*t**3 + 0 - 3/5*t**o + 0*t - 3/5*t**4.
-3*t**2*(t + 1)**2/5
Factor 0 + 1/4*x**3 - x**5 - 3/4*x**4 + 0*x + 0*x**2.
-x**3*(x + 1)*(4*x - 1)/4
Factor -11694 - 546*v + 15877 + 3*v**2 + 20660.
3*(v - 91)**2
Let m(i) be the first derivative of 14 - 2/15*i**2 + 0*i + 2/9*i**3. Solve m(d) = 0 for d.
0, 2/5
Let 804*b**3 - 9/2*b**4 - 48240*b - 35372*b**2 - 16200 = 0. What is b?
-2/3, 90
Suppose 6*k + 54 = -0*k. Let d(w) = 2*w**3 + 19*w**2 + 9*w. Let a be d(k). Factor 1/3*x - 2/3*x**4 + a*x**2 - x**3 + 0.
-x*(x + 1)**2*(2*x - 1)/3
Let i(y) be the first derivative of 3*y**4/16 - y**3/2 + 3*y**2/8 - 165. What is b in i(b) = 0?
0, 1
Suppose -3*g + 7 - 1 = 3*b, -4*b = -3*g - 29. Let f be (b - 7)*2/(-10). Factor -2/5*i**3 - 2/5 + f*i**2 + 2/5*i.
-2*(i - 1)**2*(i + 1)/5
Let t(f) be the third derivative of -1/840*f**6 + 0 - 9*f**2 + 1/210*f**5 - 4/21*f**3 + 1/42*f**4 + 0*f. Factor t(b).
-(b - 2)**2*(b + 2)/7
Let j be 25/15 + (-1)/(-3). Factor 6*w**4 + 4*w**5 - 12*w**4 - 48*w**j - 7*w**4 + 16*w - 11*w**4 + 52*w**3.
4*w*(w - 2)**2*(w - 1)**2
Let r(w) be the second derivative of -w**5/50 - 23*w**4/30 - 43*w**3/15 - 21*w**2/5 + 272*w. Factor r(m).
-2*(m + 1)**2*(m + 21)/5
Suppose 5*x = 2*x + x. Let f be (-11)/33 - (-3)/((-18)/(-14)). Factor -2/15*s**3 + 0*s**f + 0*s + x.
-2*s**3/15
Let c be 274/(-297) - 24/(-132). Let m = -46/135 - c. Find z, given that -2/5*z + m*z**2 + 0 = 0.
0, 1
Let p(v) = -42*v - 4. Let s be p(3). Let q = s - -132. Find l such that 1/6*l**3 + 8*l + 32/3 + 2*l**q = 0.
-4
Let p(q) = q**3 + 6*q**2 + 4*q + 2. Let b be p(-5). Factor 15*v**2 + 0*v - 10*v**4 - v**3 - b*v**3 - 7*v**3 + 10*v.
-5*v*(v - 1)*(v + 2)*(2*v + 1)
Factor 0 + 1/9*u**2 + 5/9*u.
u*(u + 5)/9
Let q(d) be the third derivative of 0 - 5/72*d**4 + 0*d - 5/9*d**3 + 1/36*d**5 - 2*d**2. Factor q(x).
5*(x - 2)*(x + 1)/3
Let j(f) be the third derivative of 4*f**7/105 + f**6/10 - 61*f**5/40 - 95*f**4/48 - f**3 - 11*f**2. Solve j(i) = 0.
-4, -1/4, 3
Let o(g) be the second derivative of g**4/4 + 7*g**3 - 45*g**2/2 + 92*g. Let o(j) = 0. Calculate j.
-15, 1
Let f(v) be the third derivative of -v**7/21420 + v**6/612 - 5*v**5/204 + 5*v**4/3 - 7*v**2. Let r(i) be the second derivative of f(i). Solve r(x) = 0 for x.
5
Let j(y) = -y**3 + 30*y**2 - 79*y + 2374. Let t be j(30). Find i, given that -8/5 + 0*i + 2/5*i**3 - 2/5*i**5 + 14/5*i**2 - 6/5*i**t = 0.
-2, -1, 1
Let z(b) be the third derivative of -b**5/20 - 7*b**4/8 - 3*b**3 - 406*b**2. Factor z(v).
-3*(v + 1)*(v + 6)
Let a(g) = -3*g**5 - 29*g**4 - 43*g**3 - 31*g**2 - 8*g + 2. Let l(b) = -b**5 + b**4 - b**3 + b**2 + b - 1. Let v(w) = 5*a(w) + 10*l(w). Let v(j) = 0. What is j?
-3, -1, -2/5, 0
Determine d so that 38/17 + 40/17*d + 2/17*d**2 = 0.
-19, -1
Let l(k) be the second derivative of -4*k**5/5 - 56*k**4/3 + 118*k**3/3 - 30*k**2 - 32*k. Factor l(t).
-4*(t + 15)*(2*t - 1)**2
Let t(h) be the second derivative of -h**10/90720 + h**8/6720 + h**7/3780 - 31*h**4/12 + 14*h. Let n(x) be the third derivative of t(x). Solve n(i) = 0.
-1, 0, 2
Let z(v) be the third derivative of 0 - 3/728*v**8 + 9/260*v**6 + 33*v**2 - 2/1365*v**7 + 0*v**3 + 0*v - 2/65*v**5 - 1/39*v**4. Suppose z(w) = 0. Calculate w.
-2, -2/9, 0, 1
Let c be (-22)/4 + 5 + (-22)/(-12). Let s(q) be the first derivative of -1/3*q**4 + c*q**3 - 1 + 2/3*q - 3/2*q**2. Let s(w) = 0. What is w?
1/2, 2
Solve -7*i**3 - 316 - 470*i - 64*i**2 - 270 + 3*i**3 + 10 + 134*i = 0 for i.
-6, -4
Determine t so that 1207*t**4 - 24*t**3 - 2408*t**4 + 2*t**5 - 40*t**2 + 1219*t**4 = 0.
-10, -1, 0, 2
Suppose -c + 2*c - 5*f - 19 = 0, 5*c + 2*f - 14 = 0. Let i(y) be the third derivative of -1/270*y**5 - 5*y**2 + 0 + 0*y + 0*y**c + 0*y**3. Factor i(u).
-2*u**2/9
Let v(i) be the third derivative of -i**6/30 + 12*i**5/5 - 54*i**4 + 2*i**2 - 26. Factor v(j).
-4*j*(j - 18)**2
Let u(a) be the first derivative of -a**6/40 + 3*a**4/8 - a**3 - 3*a**2/2 - 13. Let o(k) be the second derivative of u(k). What is t in o(t) = 0?
-2, 1
Let g be 254/840 + 6/(-21). Let f(b) be the second derivative of 7*b + 0*b**2 - 1/9*b**3 + g*b**5 + 1/36*b**4 + 0. Factor f(d).
d*(d - 1)*(d + 2)/3
Suppose 3*g + 15 = 0, 4*t = t - 5*g + 719. Factor -2*y**2 - t*y + 248*y.
-2*y**2
Let c(l) be the third derivative of -2/15*l**5 + 0 + 1/30*l**6 - 1/6*l**4 + 0*l + 4/3*l**3 + 12*l**2. Determine v so that c(v) = 0.
-1, 1, 2
Let a(n) be the third derivative of -n**5/420 + 7*n**4/24 + n**2 + 28*n. Solve a(y) = 0 for y.
0, 49
Let u be 2562/4*(-20)/(-15). Suppose u - 854 + 3*o**4 - 6*o**3 - 9*o**2 = 0. What is o?
-1, 0, 3
Let c(n) be the third derivative of -n**6/600 + 9*n**5/100 - 81*n**4/40 - 4*n**3 + 42*n**2. Let l(s) be the first derivative of c(s). Factor l(w).
-3*(w - 9)**2/5
Factor 16*m - m**3 + 375*m**2 - 194*m**2 - 196*m**2.
-m*(m - 1)*(m + 16)
Factor -11/2*y**2 + 1/2*y**3 + 13*y - 8.
(y - 8)*(y - 2)*(y - 1)/2
Let k(s) = -7*s + 22. Let v be k(9). Let r = v - -41. Factor -1/6*p**2 + r*p + 0.
-p**2/6
Let j(k) be the second derivative of 0 + 1/30*k**4 - 11*k - 4/5*k**2 + 2/15*k**3 - 1/100*k**5. Determine y, given that j(y) = 0.
-2, 2
Factor 0 - 3/2*k**3 - 12*k**4 - 15/2*k**5 + 0*k