s g?
0, 3/2
Let b(i) be the second derivative of 5*i**4/36 - 25*i**3/6 + 3*i + 66. Let b(c) = 0. Calculate c.
0, 15
Solve -104907/8 - 561/4*p - 3/8*p**2 = 0 for p.
-187
Solve 27*d**2 + 5*d**3 - 55*d - 37*d**2 - 11 + 71 = 0.
-3, 1, 4
Let r(q) be the second derivative of q**7/10080 + q**6/720 + 17*q**4/12 + 14*q. Let k(h) be the third derivative of r(h). Let k(t) = 0. What is t?
-4, 0
Let p(k) be the third derivative of -k**5/105 + 19*k**4/42 - 2*k**2 + 89. Let p(c) = 0. What is c?
0, 19
Let p(j) be the first derivative of -3*j**4/28 + 12*j**3/7 - 72*j**2/7 + 192*j/7 + 66. Factor p(k).
-3*(k - 4)**3/7
Let w(s) be the second derivative of -s**6/480 + s**5/20 - s**4/2 - 4*s**3/3 - 18*s. Let m(f) be the second derivative of w(f). Factor m(n).
-3*(n - 4)**2/4
Suppose -2/7*r**2 + 60/7*r**3 - 46/7*r - 12/7 = 0. What is r?
-2/3, -3/10, 1
Let n(t) = t**2 - t + 2. Let a be n(0). Suppose -2*z + 9 = z. Find k, given that -2 - 2*k**3 + 10*k**z - 8*k**2 + 8*k - 2*k**4 - 4*k**a = 0.
1
Factor p + 18/7 - 1/7*p**2.
-(p - 9)*(p + 2)/7
Let q(h) be the third derivative of h**9/141120 + h**8/15680 + h**7/5880 + 13*h**5/60 + 15*h**2. Let p(z) be the third derivative of q(z). Factor p(x).
3*x*(x + 1)*(x + 2)/7
Let o be -15 + (-272)/(-8 - 8). Suppose 2/7*f**o + 0*f - 2/7 = 0. Calculate f.
-1, 1
Let y**3 + 101/3*y**2 + 0 + 22*y = 0. What is y?
-33, -2/3, 0
Let q(n) be the second derivative of -n**7/378 + n**6/270 + n**5/30 - 7*n**4/54 + 11*n**3/54 - n**2/6 + 9*n + 7. Factor q(m).
-(m - 1)**4*(m + 3)/9
Let z(h) = -h**2 + 7*h + 5. Let r be z(4). Let f = 23 - r. Let 11*q**4 - f*q**3 - 14*q**4 - 2*q**2 - q**2 = 0. What is q?
-1, 0
Let t(k) be the third derivative of k**8/84 + 2*k**7/105 - k**6/10 - k**5/3 - k**4/3 - 67*k**2. Find s, given that t(s) = 0.
-1, 0, 2
Let w(f) be the second derivative of 17*f + 0*f**2 + 0*f**6 - 1/21*f**3 + 0*f**4 - 1/147*f**7 + 1/35*f**5 + 0. Determine y so that w(y) = 0.
-1, 0, 1
Let u(v) = -26*v - 2. Let f be u(-1). Find s such that 11*s**3 - f*s**2 - 4*s**4 + 9*s**3 + 50 - 50 = 0.
0, 2, 3
Let v be 31/7 + 3/(-7). Suppose -3*c = z - 8, 8 = v*c + z - 3. Let 0*m**c + 0*m**3 + 0*m**3 + 2*m**2 - m**3 = 0. What is m?
0, 2
Suppose 4*k - 21 - 3 = 0. Let -k*h**2 + h - 3 + 5 - 4 - 7*h - 2*h**3 = 0. Calculate h.
-1
Factor 8/5*v**5 - 2/5*v**3 + 0*v**2 + 0*v + 6/5*v**4 + 0.
2*v**3*(v + 1)*(4*v - 1)/5
Let m(l) be the second derivative of -l**9/45360 + l**8/10080 + l**7/7560 - l**6/1080 - 13*l**4/12 - 9*l. Let s(b) be the third derivative of m(b). Factor s(x).
-x*(x - 2)*(x - 1)*(x + 1)/3
Let q = -217/20 + 227/20. Let -q*n**2 + 0 + n = 0. Calculate n.
0, 2
Let z(l) be the second derivative of -l**4/24 - 5*l**3/8 - 7*l**2/8 + 101*l + 2. Factor z(y).
-(y + 7)*(2*y + 1)/4
Let m(h) be the first derivative of -h**4/14 - 4*h**3/7 - 25. Determine f so that m(f) = 0.
-6, 0
Let c(q) be the third derivative of q**7/168 - q**3/6 - 6*q**2. Let b(z) be the first derivative of c(z). Factor b(f).
5*f**3
Let x(z) be the third derivative of -1/60*z**6 + 2/3*z**3 + 0*z + 1/4*z**4 + 29*z**2 + 0 + 0*z**5. Find r such that x(r) = 0.
-1, 2
Suppose -3*t + 58*x - 55*x = -6, 5*t - x - 18 = 0. Factor 6/11*v**5 + 384/11 - 672/11*v + 384/11*v**2 - 24/11*v**t - 48/11*v**3.
6*(v - 2)**4*(v + 4)/11
Let b(z) be the second derivative of 3*z**5/40 + 5*z**4/8 + z**3 + 6*z - 4. Solve b(x) = 0 for x.
-4, -1, 0
Let y(n) be the second derivative of n**6/3 - 2*n**5/5 - 13*n**4/3 - 20*n**3/3 - 3*n**2 - 154*n. Find x such that y(x) = 0.
-1, -1/5, 3
Suppose -a = -2*a - 0*a. Suppose a = q - 3*q + 7*q. Determine n so that 7/3*n**2 + 2/3*n + 5/3*n**3 + q = 0.
-1, -2/5, 0
Let b(q) = 15*q**3 - 60*q**2 + 20*q + 240. Let g(x) = x**3 - x**2 + 2*x. Let f(c) = b(c) - 20*g(c). Solve f(l) = 0.
-6, -4, 2
Let o(b) = -b**3 - b**2 - b - 1. Let n = -12 + 2. Let m = -13 - n. Let c(k) = -6*k**3 - 15*k**2 - 15*k - 3. Let r(f) = m*o(f) + c(f). Solve r(w) = 0.
-2, 0
Let b(g) be the first derivative of -2*g**3/3 - 78*g**2 - 3042*g - 259. Solve b(z) = 0 for z.
-39
Let t(d) be the third derivative of -d**8/2352 + d**7/105 - 61*d**6/840 + d**5/5 - 3*d**4/14 + d**2 + 219. Factor t(c).
-c*(c - 6)**2*(c - 1)**2/7
Let d = -165 + 246. Let y = 83 - d. Suppose -2/5 + 2/5*h**y + 2/5*h - 2/5*h**3 = 0. Calculate h.
-1, 1
Suppose 0 = 4*v + n - 110, v - n + 5*n - 20 = 0. Let u = -574 - -576. Factor 16*d**3 + 50*d**3 - 32*d**u - 16*d + 10*d**3 - v*d**4.
-4*d*(d - 2)*(d - 1)*(7*d + 2)
Factor -10*b**2 - 11*b**3 + 80 + 7*b**3 + 112*b + 38*b**2.
-4*(b - 10)*(b + 1)*(b + 2)
Let v(k) be the third derivative of 0 + 0*k - 16*k**2 + 0*k**3 + 2/105*k**7 - 2/3*k**4 - 1/5*k**6 + 3/5*k**5. Factor v(u).
4*u*(u - 4)*(u - 1)**2
Let b(n) be the first derivative of n**6/6 - n**5 - 3*n**4/4 + 17*n**3/3 - 5*n**2 - 196. Factor b(o).
o*(o - 5)*(o - 1)**2*(o + 2)
Suppose -10 = -53*j + 48*j. Let g(k) be the first derivative of 9/2*k**j - 9/4*k**4 - 4 - 3/5*k**5 - k**3 + 6*k. Solve g(i) = 0 for i.
-2, -1, 1
Let y(z) = z**3 - z. Let q be 48/60 + 2/10. Let u(a) = -27*a**3 - 21*a**2 + 6*a. Let b(j) = q*u(j) + 3*y(j). Determine k, given that b(k) = 0.
-1, 0, 1/8
Let f(c) be the second derivative of 3*c**5/100 - 9*c**4/10 + 33*c**3/10 - 24*c**2/5 + 111*c + 3. Factor f(j).
3*(j - 16)*(j - 1)**2/5
Let w(n) = n**3 - n**2 - n. Let g be w(2). Let o = 364 - 352. What is h in -22*h - 35*h**g + 58*h + o + 3*h**3 + 2*h**2 - 24 - 3*h**5 + 9*h**4 = 0?
-2, 1, 2
Suppose 5*x - 40 = -0*x. Factor 6*f**2 + f - x*f**2 + 4*f**2 - f**2.
f*(f + 1)
Let u(k) = -17*k**3 + k**2 - 5*k - 1. Let j(h) = -6*h**3 - 3*h. Let p(l) = -l. Let o(x) = -j(x) + p(x). Let i(c) = -11*o(c) - 4*u(c). Factor i(n).
2*(n - 2)*(n - 1)*(n + 1)
Suppose -3*k**5 - 17*k**4 + 3*k**2 - 21*k**3 + 19*k**4 - 13*k**4 + 24*k + 12 - 4*k**4 = 0. What is k?
-2, -1, 1
Let n(w) be the second derivative of w**8/1008 - w**7/210 + w**6/120 - w**5/180 - 5*w**3/3 + 18*w. Let s(t) be the second derivative of n(t). Factor s(f).
f*(f - 1)**2*(5*f - 2)/3
Let w = 295 - 465. Let l be -1*(-6)/(-5)*w/459. Solve 2/3*z**2 + 0 - 2/9*z**3 - l*z = 0.
0, 1, 2
Factor 1 - 1044*w**3 - 4*w**4 - 92*w**2 + 1140*w**3 - 1.
-4*w**2*(w - 23)*(w - 1)
Suppose -2*v - 2*n = -6, -n = 3*v + 18 - 21. Let -4/15*i**2 + 2/15*i + 2/15*i**3 + v = 0. What is i?
0, 1
Let i(n) be the second derivative of 0*n**2 + 2/15*n**6 + 2/3*n**4 - 1/21*n**7 + 0 + 51*n + 0*n**3 + 7/10*n**5. Factor i(x).
-2*x**2*(x - 4)*(x + 1)**2
Let 560*m**4 - 626*m**2 - 224*m - 138 - 362*m**3 + 46*m**3 + 114 = 0. What is m?
-2/5, -2/7, -1/4, 3/2
Let o(l) = 28*l - 7. Let n be o(1). Suppose 3*d + 21 = n. Determine k, given that 0*k - 2/7*k**5 + 2/7*k**4 + d*k**2 + 0*k**3 + 0 = 0.
0, 1
Factor 60*y - 102 + 66*y + 3*y**2 - 126 + 523 + 1028.
3*(y + 21)**2
Let t = 47 + -37. Find m, given that -5*m**2 + 20*m - t - 10 + 5 = 0.
1, 3
Let q(y) be the third derivative of -y**5/30 - 13*y**4/12 + 14*y**3/3 - 5*y**2 + 14*y. Solve q(i) = 0 for i.
-14, 1
Factor 701*v**3 - 353*v**3 + 10*v**2 - 353*v**3 + 15*v**2.
-5*v**2*(v - 5)
Solve 1458/7 + 108/7*o + 2/7*o**2 = 0 for o.
-27
Let a = -15 + 18. Suppose a*z = 2*z + 16. What is w in 6*w**4 - z*w + 32*w + 8*w**3 - 2*w**4 - 24*w - 4 = 0?
-1, 1
Let s(o) = 3*o + 8. Let k be s(-2). Suppose 2*j + 25 = -4*f - 3*j, 0 = f - k*j - 10. Find h such that -2/7*h**3 - 4/7*h + 6/7*h**2 + f = 0.
0, 1, 2
Suppose 2*f = 5*r - 11, -5*f - r + 1 + 12 = 0. Let d(l) be the second derivative of -5*l + 1/12*l**4 + 0 - 2/3*l**3 + 3/2*l**f. Suppose d(x) = 0. What is x?
1, 3
Let z(k) be the second derivative of k**5/50 - 7*k**4/30 - k**3/3 + 15*k**2 - 70*k. Factor z(d).
2*(d - 5)**2*(d + 3)/5
Let x(n) = -n**3 - 2*n**2 + 16*n + 7. Let h(k) = -4*k - 29. Let p be h(-6). Let o be x(p). Factor -40/3*r + 1/6*r**5 - 10/3*r**o + 32/3 + 5/3*r**4 + 25/6*r**3.
(r - 1)**2*(r + 4)**3/6
Let r = 534 + -532. Let z(q) be the second derivative of r*q - 9/10*q**6 - 22*q**4 - 32*q**3 + 0 - 36/5*q**5 - 24*q**2. Suppose z(b) = 0. Calculate b.
-2, -2/3
Let 21/5*x - 1/5*x**2 - 4 = 0. What is x?
1, 20
Let w(h) be the second derivative of -h**4/114 - 20*h**3/57 - 17*h. Factor w(m).
-2*m*(m + 20)/19
Let c = 2253 + -2249. Let x(h) be the third derivative of -1/4*h**c + 1/21*h**7 + h**2 - 7/30*h**5 + 1/20*h**6 + 0*h + 0 + 2/3*h**3. Factor x(l).
2*(l - 1)*(l + 1)**2*(5*l - 2)
Let r be (-4)/8*(-20)/5. Factor 0*f - 4*f**5 + r*f