2/10 + 60*r. What is k in f(k) = 0?
-3, -1
Factor -36/5*m + 0 - 2/5*m**2.
-2*m*(m + 18)/5
Factor -2*t**2 + 8/3 + 4/3*t**3 + 2/3*t**4 - 8/3*t.
2*(t - 1)**2*(t + 2)**2/3
Factor 8/3*s - 2/9*s**2 + 56/9.
-2*(s - 14)*(s + 2)/9
Let o(j) = -j**3 - 10*j**2 - 7*j + 3. Let w be o(-9). Let t be ((-6)/w)/((-7)/(175/(-15))). Suppose 4/3*u + 2/3 + t*u**2 = 0. Calculate u.
-1
Let o(b) = 1. Let z(k) = k**3 - 5*k**2 - 6*k + 2. Let d be z(6). Let p(f) = f**2 + 8 - 12 - d*f**3 + f**3. Let j(u) = -4*o(u) - p(u). Factor j(h).
h**2*(h - 1)
Let l be 5/(-1*(-2 + 1)). Let g(r) = r**3 - r**2 + 4*r - 6. Let y(z) = -z**3 + z**2 - 3*z + 5. Let v(n) = l*g(n) + 6*y(n). Factor v(u).
-u*(u - 2)*(u + 1)
Let q(b) = 4*b + 51. Let l be q(-12). Let u be 1 + l + -4 + 5. Suppose 8/7*g**2 - 6/7*g**u - 6/7*g + 12/7*g**3 - 4/7 - 4/7*g**4 = 0. What is g?
-1, -2/3, 1
Let w = -382/3 - -1531/12. Let j(g) be the second derivative of -3/20*g**5 + 0*g**2 - 1/40*g**6 - w*g**3 - 5/16*g**4 + 0 + g. Factor j(c).
-3*c*(c + 1)**2*(c + 2)/4
Let r(u) be the third derivative of 1/36*u**3 - 1/720*u**6 + 1/120*u**5 - 1/48*u**4 + 3*u**2 + 0 + 0*u. Factor r(z).
-(z - 1)**3/6
Let s(t) be the third derivative of t**7/168 - t**5/6 - 5*t**3/6 + 10*t**2. Let h(m) be the first derivative of s(m). Factor h(a).
5*a*(a - 2)*(a + 2)
Let d(f) be the third derivative of f**5/330 - 17*f**4/132 - 6*f**3/11 + 94*f**2. Find g, given that d(g) = 0.
-1, 18
Let g(s) be the second derivative of 1/30*s**5 + 0 + 1/6*s**4 - 9*s - s**2 - 1/9*s**3. Find h such that g(h) = 0.
-3, -1, 1
Let t(m) be the first derivative of -7/12*m**2 + 1/24*m**4 - 1/9*m**3 + 31 - 2/3*m. Factor t(l).
(l - 4)*(l + 1)**2/6
Suppose 0 = 38*f - 3*f - 140. Solve -14/9*t**2 - 8/3*t**f + 8/9 - 32/9*t + 62/9*t**3 = 0.
-2/3, 1/4, 1, 2
Let s(b) be the second derivative of -3*b**6/2 + 6*b**5 + 35*b**4/6 - 40*b**3/3 + 15*b**2/2 - 71*b. Suppose s(o) = 0. What is o?
-1, 1/3, 3
Suppose 1/3*g**3 + 19881*g - 934407 - 141*g**2 = 0. What is g?
141
Let p(k) be the second derivative of 9*k**5/100 + 151*k**4/20 + 169*k**3/5 + 144*k**2/5 + 2*k + 181. Solve p(m) = 0.
-48, -2, -1/3
Let u(s) = s**3 + 59*s**2 + 115*s + 59. Let g be u(-57). Factor 21/2*f**g - 9/2*f + 0 + 17/2*f**3 + 3/2*f**4.
f*(f + 3)**2*(3*f - 1)/2
Factor 36 - 3/4*r**3 - 3/2*r - 27/4*r**2.
-3*(r - 2)*(r + 3)*(r + 8)/4
Suppose 0 = 13*t + 16*t - 12*t. Suppose -2/13*f**2 + 0 - 2/13*f**3 + t*f = 0. Calculate f.
-1, 0
Let z(v) = v**2 + 9*v + 8. Let l be z(-8). Factor -8*g**4 - 8*g**3 - 7*g**3 + 3*g**3 + 4*g**5 + l*g**4.
4*g**3*(g - 3)*(g + 1)
Let k = -1719 - -51571/30. Let y(b) be the third derivative of 1/12*b**4 + b**2 - 1/12*b**3 + 0*b + 0 - k*b**5. Suppose y(w) = 0. What is w?
1/2
Let i(u) be the third derivative of -u**2 + 0*u - 7/30*u**5 + 0*u**3 + 1/35*u**7 + 0 + 1/6*u**4 + 1/30*u**6. Factor i(n).
2*n*(n - 1)*(n + 2)*(3*n - 1)
Let w(y) be the second derivative of -y**6/1440 - y**5/480 - 5*y**3/3 + 5*y. Let p(g) be the second derivative of w(g). Determine a so that p(a) = 0.
-1, 0
Let c(j) be the first derivative of -j**4/28 - 8*j**3/21 - j**2/2 + 98. Let c(m) = 0. Calculate m.
-7, -1, 0
Let m be (-8)/(-3) - 14/21. Suppose -37*z - 11 + 51*z - 2*z**m - 4 + 3 = 0. Calculate z.
1, 6
Let t(k) = k**3 + 2*k + 3. Let z(b) = 2*b + 2. Suppose 3*f = -4*r + 10, -4*f + 5*r = -0*r - 3. Let d(o) = f*t(o) - 3*z(o). Suppose d(a) = 0. What is a?
-1, 0, 1
Let x(v) = -v**3 + 7*v**2 - v + 9. Let a be x(7). Factor 4 - 4*z - 8*z**2 + 4*z**a + 2*z**2 + 2.
-2*(z - 1)*(z + 3)
Suppose 4*d + 8 = 4*n - 0, -n + 17 = 4*d. Suppose 0 = n*z + 25, z = -2*q - q + 1. Determine l, given that 0*l**2 + 4*l**3 - 8*l**2 + 6*l**2 + q*l**3 = 0.
0, 1/3
Let d = -3812 - -3814. Factor -2/5*t - 2/5 + 4/5*t**d.
2*(t - 1)*(2*t + 1)/5
Determine r so that -8/7*r + 8/7*r**2 + 4/7*r**3 + 4/7*r**5 + 2/7 - 10/7*r**4 = 0.
-1, 1/2, 1
Suppose 77 + 67 = 9*u. Solve -21*j - 15*j + 5*j**2 - u*j + 2*j + 125 = 0 for j.
5
Let h(o) be the third derivative of o**9/4536 - o**7/1260 - 3*o**3/2 - 3*o**2. Let p(n) be the first derivative of h(n). Solve p(t) = 0.
-1, 0, 1
Let s = 2/957 + 212/319. Solve 4/3*b - s*b**2 + 2 = 0 for b.
-1, 3
Suppose 385 = 11*k + 33. Let o = k + -30. Suppose 0*h + 2/13*h**o - 2/13 = 0. Calculate h.
-1, 1
Let x(k) = 2*k + 2. Let h be x(-5). Let o be h/8 + 6*1. Suppose 0*z - 3*z + 0*z**2 + o*z**2 - 2*z**2 = 0. Calculate z.
0, 1
Let x(h) = -2*h**2 - 36*h - 28. Let v be x(-17). Suppose -3*s - v = 0, -3*u + 14 = 2*u - 2*s. Let -1/4*b - 1/2*b**u + 0 - 1/4*b**3 = 0. What is b?
-1, 0
Let l(y) be the first derivative of 6 - 3/4*y**4 + y**2 + 0*y - 9/80*y**5 - 2*y**3. Let g(p) be the second derivative of l(p). Factor g(x).
-3*(3*x + 4)**2/4
Let i(y) be the third derivative of -y**7/3780 - y**6/540 + y**5/60 - y**4/4 - 16*y**2. Let m(b) be the second derivative of i(b). Determine c so that m(c) = 0.
-3, 1
Let p(u) = 5*u**3 + 76*u**2 + 573*u - 648. Let d(i) = -14*i**3 - 226*i**2 - 1720*i + 1944. Let h(a) = -3*d(a) - 8*p(a). Factor h(l).
2*(l - 1)*(l + 18)**2
Let m(n) be the first derivative of -n**5/30 + n**4/8 - n**3/6 + n**2/12 - 24. Factor m(k).
-k*(k - 1)**3/6
Let b = -1181 - -1186. Let o(m) be the third derivative of 1/40*m**6 + 3/35*m**b + 3/56*m**4 + 0 - 1/7*m**3 - 10*m**2 + 0*m. Determine j, given that o(j) = 0.
-1, 2/7
Let i be (16/14)/(190/665). What is y in 4*y**5 + 32/3*y**4 + 8/3 + 0*y**3 - 40/3*y**2 - i*y = 0?
-2, -1, 1/3, 1
Let b(x) be the first derivative of x**5/25 - x**4/30 + 3*x + 6. Let a(g) be the first derivative of b(g). Solve a(l) = 0.
0, 1/2
Find g such that -6/5*g - 2/5*g**2 + 0 = 0.
-3, 0
Let k(q) = -20*q**2 + 496*q + 528. Let h(w) = -8*w**2 + 198*w + 211. Let g(n) = -12*h(n) + 5*k(n). Factor g(s).
-4*(s - 27)*(s + 1)
Factor 15*r**2 - 29*r**2 - 7*r + 13*r**2 - 12.
-(r + 3)*(r + 4)
Let s(c) = 4*c**3 + 11*c**2 + c. Let z(d) = 37 - 6*d**2 - 37 + 5*d**3 + 16*d**2. Let i(x) = 5*s(x) - 6*z(x). Find g, given that i(g) = 0.
-1, 0, 1/2
Let s = -5 + 10. Let l be (-9)/(-6) - s/(-10). Factor -4*t**2 - 7*t**4 - 4*t**3 + 9*t**l + 2*t**4 - t**3 + 5*t**5.
5*t**2*(t - 1)**2*(t + 1)
Let x(s) be the third derivative of -2*s**7/105 - s**6/10 - 2*s**5/15 + 24*s**2. Factor x(v).
-4*v**2*(v + 1)*(v + 2)
Let x(n) be the third derivative of n**6/660 - 25*n**4/132 - 4*n**2. Factor x(w).
2*w*(w - 5)*(w + 5)/11
Let x(k) be the third derivative of -k**6/240 + 13*k**5/240 - k**4/4 + 3*k**3/8 + 33*k**2. Factor x(u).
-(u - 3)**2*(2*u - 1)/4
Let f(c) be the first derivative of -7 + 1/108*c**4 + 0*c**2 + c**3 + 1/1620*c**6 + 1/270*c**5 + 0*c. Let q(g) be the third derivative of f(g). Factor q(j).
2*(j + 1)**2/9
Let p(z) = 2*z**2 + 3*z - 21. Let a be p(3). Let c(j) be the second derivative of 1/105*j**a + 0*j**2 + 0 + 0*j**5 - 1/42*j**4 + 3*j + 0*j**3. Factor c(x).
2*x**2*(x - 1)*(x + 1)/7
Let s(p) be the second derivative of 1/40*p**6 - 1/168*p**7 + 0 + 1/8*p**3 - 1/40*p**5 - 1/8*p**2 - 7*p - 1/24*p**4. Factor s(i).
-(i - 1)**4*(i + 1)/4
Suppose 0 = -5*n - 5*f - 5, -4*n - 12*f + 10*f = 0. Let s(b) be the first derivative of n + 0*b + 9/10*b**2 + 1/5*b**3. Factor s(u).
3*u*(u + 3)/5
Let r(t) be the first derivative of t**4/10 - 16*t**3/15 + 16*t**2/5 - 113. Factor r(d).
2*d*(d - 4)**2/5
Let r(h) be the first derivative of -9 - 1/3*h**3 - 22*h + 7/2*h**2. Let o(u) = u**2 - 8*u + 23. Let f(g) = 3*o(g) + 2*r(g). Find t such that f(t) = 0.
5
Let d(k) be the second derivative of k**6/6 + k**5/2 - 5*k**4/3 - 5*k**3/3 + 15*k**2/2 - 44*k. Let d(p) = 0. What is p?
-3, -1, 1
Let j = -167 + 10021/60. Let b(c) be the second derivative of -1/18*c**4 + 0*c**2 + 0 + 1/18*c**3 + 3*c + j*c**5. Determine g, given that b(g) = 0.
0, 1
Factor 3/2*k**4 - 3/2*k + 3*k**3 + 3/2 - 3/2*k**5 - 3*k**2.
-3*(k - 1)**3*(k + 1)**2/2
Let j(t) = 8*t - 61. Let q be j(7). Let y(m) = m**2 + 5*m + 15. Let v(b) = -b**2 - 9*b - 29. Let g(w) = q*y(w) - 3*v(w). Factor g(p).
-2*(p - 3)*(p + 2)
Factor 1/2*g**3 + 2/3 - 7/3*g**2 + 7/6*g.
(g - 4)*(g - 1)*(3*g + 1)/6
Let m = 29369 + -29369. Determine t, given that m + 0*t + 1/4*t**2 = 0.
0
Let l(i) be the second derivative of i**7/70 - 3*i**6/20 + 9*i**5/20 - 3*i**2 - 3*i. Let v(z) be the first derivative of l(z). Suppose v(a) = 0. What is a?
0, 3
Let s(u) = u**3 - u**2. Let y(r) be the second derivative of 3*r**5/10 - 20*r. Let w(h) = -3*s(h) + y(h). Solve w(z) = 