 + 0*l**2. What is f in y(f) = 0?
-2, 0
Let v be (14 - 9)*(-4)/10. Let n = 2 + v. Factor n*m**3 + 0 + 6/7*m**2 - 2/7*m**4 - 4/7*m.
-2*m*(m - 1)**2*(m + 2)/7
Let t(q) be the second derivative of -q**7/315 + q**6/45 + 13*q**5/150 + 7*q**4/90 - 4*q + 6. Find h such that t(h) = 0.
-1, 0, 7
Let i(k) be the second derivative of -k**6/120 + k**5/60 + k**4/24 - k**3/6 + k**2/2 - k. Let u(r) be the first derivative of i(r). Find x such that u(x) = 0.
-1, 1
Factor -35*o**2 + 9 - 52*o**2 + 132*o**4 - 17*o + 64*o**4 - 91*o**3 + 9 - 19.
(o - 1)*(4*o + 1)*(7*o + 1)**2
Let i(b) be the third derivative of b**7/1155 + 43*b**6/165 + 1653*b**5/55 + 16245*b**4/11 + 61731*b**3/11 - b**2 + 13*b. Let i(m) = 0. Calculate m.
-57, -1
Let t(j) be the first derivative of j**4 - 32*j**3/3 - 40*j**2 + 391. What is g in t(g) = 0?
-2, 0, 10
Let r(b) be the third derivative of 5*b**8/336 + 13*b**7/21 + 61*b**6/8 - 55*b**5/6 - 3875*b**4/6 + 2500*b**3 - 4*b**2 + 17*b. Factor r(m).
5*(m - 3)*(m - 1)*(m + 10)**3
Let n = 8 + -2. Let w be 42/630*(n + 0)/1. Suppose 4/5*c - w*c**2 + 6/5 = 0. What is c?
-1, 3
Let n(b) be the first derivative of -b**4/18 + 2*b**3/9 + 10*b**2/9 - 16*b/3 - 218. Factor n(u).
-2*(u - 4)*(u - 2)*(u + 3)/9
Let n be -4*4*(-7)/56. Let b(c) be the third derivative of 2/75*c**5 + 5*c**n + 0 + 0*c**3 - 1/20*c**4 - 1/300*c**6 + 0*c. Factor b(m).
-2*m*(m - 3)*(m - 1)/5
Let t be 10/45 - 52/(-9). Factor t*y**4 - y**4 - y**5 - y**4 + 5*y**5.
4*y**4*(y + 1)
Let g(h) = -5*h**5 - 2*h**4 - h**3 + 8*h**2 - 3*h + 3. Let f(j) = 2*j**5 - j**3 + j - 1. Let c(z) = -3*f(z) - g(z). What is r in c(r) = 0?
-2, 0, 2
Let r(c) be the first derivative of 1/3*c**3 - 10*c + 3/2*c**2 - 10. Let r(a) = 0. What is a?
-5, 2
Let t be 50/20 - (5/(-2) + 2). Determine o so that 10*o**5 - 12*o**t - 2*o - 8*o**4 + 0*o**5 + 0*o**2 - 8*o**2 - 12*o**5 = 0.
-1, 0
Let i(c) = c**2 - 64*c + 957. Let m(f) = f + 2. Let x(q) = 3*i(q) + 6*m(q). Let x(y) = 0. Calculate y.
31
Factor -1214 + 16*u + 601 + 2*u**3 + 605 - 10*u**2.
2*(u - 2)**2*(u - 1)
Factor 2/21*b**5 + 2/21*b**4 + 0*b**2 + 0 + 0*b**3 + 0*b.
2*b**4*(b + 1)/21
Let k = -116 - -120. Let f be 3 + 0 + 2/(-2). Factor -f*z**4 - 2*z**5 - z**2 - 4*z**3 + 5*z**2 + 2*z + 0*z**5 + k*z**5 - 2.
2*(z - 1)**3*(z + 1)**2
Let u(r) be the third derivative of 0*r**3 + 2*r**2 + 0*r - 1/1470*r**7 + 0 - 1/210*r**5 + 0*r**4 - 1/280*r**6. Suppose u(q) = 0. Calculate q.
-2, -1, 0
Let k = -216 - -143. Let v = 76 + k. Factor 2/9*t - 2/9 - 2/9*t**v + 2/9*t**2.
-2*(t - 1)**2*(t + 1)/9
Let o be (-15)/45*(18/6*-3)/1. Factor 4*w**2 - 1/2*w**5 + 3/2*w + 0*w**4 + 3*w**o + 0.
-w*(w - 3)*(w + 1)**3/2
Let m = 788 - 784. Suppose 17 = 4*w + 5. Factor -8*z + m*z**2 - z + w*z**3 + z**3 + z.
4*z*(z - 1)*(z + 2)
Let q(y) = y**4 - y**3 - y**2 + y. Let k(h) = -16*h**4 + 108*h**3 + 104*h**2 - 20*h. Let f(g) = k(g) + 20*q(g). Determine s so that f(s) = 0.
-21, -1, 0
Suppose -2/3*u**4 - 22/3*u**2 - 8/9 - 14/3*u - 38/9*u**3 = 0. Calculate u.
-4, -1, -1/3
Let d = -2531/6 - -422. Let m(v) be the second derivative of -6*v + 0 - 4/3*v**3 - d*v**4 - 4*v**2. Factor m(n).
-2*(n + 2)**2
Let g(c) = 3*c - 17. Let k(d) = -3*d + 17. Let o(v) = -4*g(v) - 5*k(v). Let i be o(7). Factor -1/2*p**i + 3/2*p**3 - p**2 + 0 + 0*p.
-p**2*(p - 2)*(p - 1)/2
Let w(k) be the second derivative of -k**6/30 + k**4/6 - k**2/2 - 70*k. Factor w(a).
-(a - 1)**2*(a + 1)**2
Let w = 2/273 + -67/273. Let d = w + 46/105. Factor d*i**3 + 8/5*i - 4/5 - i**2.
(i - 2)**2*(i - 1)/5
Factor 1/5*k**3 - 28/5 + 32/5*k - 11/5*k**2.
(k - 7)*(k - 2)**2/5
Let q(v) = 22*v + 225. Let x be q(-10). Let g(p) be the third derivative of -1/20*p**4 + 0*p + 0 + 0*p**3 + 7*p**2 + 1/20*p**x. Factor g(b).
3*b*(5*b - 2)/5
Suppose -c - 42 = -22*c. Let o(u) be the first derivative of 1/6*u**c - 5 + 0*u - 1/9*u**3. What is l in o(l) = 0?
0, 1
Let a be (-1656)/(-782) - 2/17. Find w such that -3/2 + 9/8*w + 3/8*w**a = 0.
-4, 1
Factor 3 + 3/4*j**4 - 9/4*j**2 + 3/2*j**3 - 3*j.
3*(j - 1)**2*(j + 2)**2/4
Let o be (40/(-12))/5*-3. Let h be o - (-13 - (2 + -1)). Factor -12 + 11*r**4 - 8*r**4 + 12*r + 4*r**3 + 9*r**2 - h*r**3.
3*(r - 2)**2*(r - 1)*(r + 1)
Factor 4*c**3 + 6*c + 5*c**3 - 6*c - 6*c**2 - 3*c**4 + 0*c.
-3*c**2*(c - 2)*(c - 1)
Let s(l) = 8*l - 2. Let o be s(1). Factor 10*n**2 - 11*n**2 + 2 - o*n**3 + 15*n**2 - 10*n.
-2*(n - 1)**2*(3*n - 1)
Let b(k) be the second derivative of -1/70*k**5 + 3*k - 1/14*k**2 - 1/42*k**4 + 1/70*k**6 + 0 + 1/14*k**3 - 1/294*k**7. Factor b(o).
-(o - 1)**4*(o + 1)/7
Let k = 73 - 61. Let v be 3 - 3*8/k. Factor -v - 23/2*i**3 - 7/2*i**4 - 27/2*i**2 - 13/2*i.
-(i + 1)**3*(7*i + 2)/2
Factor -15/2*b**3 - 3/4*b**4 + 105*b - 147 + 9/4*b**2.
-3*(b - 2)**2*(b + 7)**2/4
Let x be 1/(-4)*-3 - 43/60. Let v(a) be the second derivative of 1/75*a**6 + 0 + 0*a**2 - x*a**3 + 1/210*a**7 + a - 1/30*a**4 + 0*a**5. Factor v(k).
k*(k - 1)*(k + 1)**3/5
Let i(x) be the third derivative of -x**7/140 - 19*x**6/240 - 2*x**5/15 + 5*x**4/12 - 33*x**2. Determine z, given that i(z) = 0.
-5, -2, 0, 2/3
Let d(i) be the second derivative of i**4/54 + 17*i**3/27 - 38*i**2/9 + 5*i - 9. Determine w so that d(w) = 0.
-19, 2
Let m(j) = -3*j**2 + 4*j + 2. Let s(k) = 3 + 2 - 3 - 3. Let n(q) = m(q) + 3*s(q). Determine c so that n(c) = 0.
1/3, 1
Let w(z) be the first derivative of z**6/42 - 6*z**5/35 + 13*z**4/28 - 4*z**3/7 + 2*z**2/7 - 122. Solve w(n) = 0 for n.
0, 1, 2
Let o(y) be the second derivative of 2*y**7/21 - 4*y**6/15 - y**5/5 + 2*y**4/3 - y + 71. Factor o(p).
4*p**2*(p - 2)*(p - 1)*(p + 1)
Let x(t) = t**2 + 16*t + 41. Let g be x(-13). Let o(n) be the second derivative of 0*n**g - 1/33*n**3 - 1/66*n**4 - 3*n + 0. Suppose o(k) = 0. Calculate k.
-1, 0
Let y = 93867/100 - 2816/3. Let n(z) be the third derivative of 2/15*z**3 - z**2 + y*z**5 + 0 + 0*z - 1/30*z**4. Factor n(q).
(q - 2)**2/5
Let i(m) be the second derivative of m**4/4 - 5*m**3 + 6*m + 6. Determine c, given that i(c) = 0.
0, 10
Let p(u) be the third derivative of u**8/20160 + 7*u**5/60 - 7*u**2. Let r(t) be the third derivative of p(t). Factor r(h).
h**2
Let b(g) = 8*g**4 + 5*g**3 - g**2 + 2*g + 2. Let d(t) = 8*t**3 - 21*t**3 + 7*t**3 - 9*t**4 - 3*t - 3. Let i(w) = 3*b(w) + 2*d(w). Factor i(x).
3*x**2*(x + 1)*(2*x - 1)
Let o(y) be the third derivative of -y**5/15 + 23*y**4/3 - 1058*y**3/3 + 213*y**2. Solve o(m) = 0 for m.
23
Let c be 58/29 + (-1 + 2 - 1). Let m be ((-4 - 0)/28)/(c/(-16)). Determine a, given that 10/7*a**2 - m + 16/7*a = 0.
-2, 2/5
Let n be ((-3)/(-21))/(28/(-8) - -4). Factor 2/7*u**2 - 2/7*u**5 + 0*u + n*u**3 + 0 - 2/7*u**4.
-2*u**2*(u - 1)*(u + 1)**2/7
Let k(b) be the first derivative of b**5/10 + b**4/6 - 10*b**3/3 + 8*b**2 + 36*b + 1. Let n(s) be the first derivative of k(s). Factor n(j).
2*(j - 2)*(j - 1)*(j + 4)
Let r be (-2)/3*(-21)/2. Let b(o) be the third derivative of 0*o**4 + 0*o**3 + 7*o**2 + 0 + 0*o - 1/30*o**6 + 1/30*o**5 + 1/105*o**r. Factor b(j).
2*j**2*(j - 1)**2
Factor 0 - 11/4*z**2 - 1/4*z**4 + 0*z - 3*z**3.
-z**2*(z + 1)*(z + 11)/4
Let j = -3244 - -3247. What is r in 0*r**2 + 0 + 0*r - 9/2*r**4 + 27/4*r**5 + 3/4*r**j = 0?
0, 1/3
Let k(q) be the first derivative of 7*q**4/22 - 10*q**3/33 - 16*q**2/11 - 8*q/11 + 74. Solve k(l) = 0 for l.
-1, -2/7, 2
Suppose -4*n - 820 = 5*o - 846, -2*n + 18 = 5*o. Factor -4/7*d**3 + 4/7*d**n + 4/7*d + 8/7 - 12/7*d**2.
4*(d - 2)*(d - 1)*(d + 1)**2/7
Let n(s) = 2*s**2 + 33*s - 12. Let w be n(-17). Let 2/3 - 2/3*t + 1/6*t**4 - 5/6*t**2 + 5/6*t**3 - 1/6*t**w = 0. Calculate t.
-2, -1, 1, 2
Solve 4/3 - 2/3*r - 2/3*r**2 = 0 for r.
-2, 1
Let y be 0*((-1)/2 + 1). Let l be ((-7)/((-252)/(-32)))/(40/(-30)). Factor 0*s**3 + 2/3*s**4 + y - l*s**2 - 1/3*s**5 + 1/3*s.
-s*(s - 1)**3*(s + 1)/3
Let y(s) be the first derivative of s**5/20 + 9*s**4/16 + 3*s**3/2 - s**2/2 - 6*s + 189. Factor y(l).
(l - 1)*(l + 2)**2*(l + 6)/4
Let o(g) be the first derivative of g**5/10 - g**3/2 - g**2/2 + 41. Factor o(u).
u*(u - 2)*(u + 1)**2/2
Let a be (-422)/(-3) + (-36 - -30). Let i = -134 + a. Factor -i - k - 1/3*k**2.
-(k + 1)*(k + 2)/3
Factor -5*u + 102 - 27*u - 30*u - 2*u**2 + 34*u.
-2*(u - 3)*(u + 17)
Let h(m) = -2*m**2 + 17*m - 27. Let b be h(6). Determine p so that 4*p + p**2 - 12*p**b - 4 + 8*p - 3*p**4 - 7*p**2 + 13 = 0.
-3, -1, 1
Let u(x) = -17*x + 20*x + 1 + 4*x