 3*s(g). Suppose q(y) = 0. What is y?
-1, 0, 1
Let r(p) be the second derivative of p**4/12 + p**3/6 + p**2 + 5*p. Let o be r(0). Factor 0*i**o + 0*i + 1/3*i**4 + 0*i**3 + 0.
i**4/3
Let c(j) be the first derivative of 4*j**6/3 + 396*j**5/5 + 1388*j**4 + 5432*j**3 + 8740*j**2 + 6348*j - 114. Let c(d) = 0. What is d?
-23, -3/2, -1
Let l(i) be the third derivative of -i**6/24 + 113*i**5/360 + 5*i**4/24 - 2*i**3/9 + i**2 - 14*i. Factor l(w).
-(w - 4)*(5*w + 2)*(6*w - 1)/6
Solve 2/13*p + 6/13*p**2 - 2/13*p**3 - 6/13 = 0 for p.
-1, 1, 3
Suppose 0 = -3*q - 3*q + 24. Let -380*z**3 - 15 - 405*z**5 + 40*z**2 + 15 + 990*z**q = 0. Calculate z.
0, 2/9, 2
Let h(n) be the first derivative of 5*n**3/3 + 65*n**2/2 - 340*n - 101. Determine p, given that h(p) = 0.
-17, 4
Factor 0 + 2/3*o**4 + 4*o + 16/3*o**3 + 26/3*o**2.
2*o*(o + 1)**2*(o + 6)/3
Suppose 2*b = 4*q - 49 + 39, -b - 2*q + 11 = 0. Factor -108/5*m - 18/5*m**2 - 216/5 - 1/5*m**b.
-(m + 6)**3/5
Let q(k) = -8*k - 4. Let l be q(-1). Suppose l*s + 32 = 4*r, -2*s = 3*r + 3*s. Find c such that 1/3*c**r - 2/3*c**4 + 1/3*c**3 + 0*c + 0*c**2 + 0 = 0.
0, 1
Factor 324*o**2 + 9 - 325*o**2 - 25 + 8*o.
-(o - 4)**2
Suppose -63 = -2*c - 17. Factor -2*n**2 + 24*n - c*n + 0*n**2 + n**3 + 0*n**3.
n*(n - 1)**2
Factor 5/2*c**4 + 0*c**3 - 15/2*c**2 + 5*c + 0.
5*c*(c - 1)**2*(c + 2)/2
Suppose 0 = 2*s + a - 9, -3*a + 29 - 14 = 0. Factor 12/5*f + 12/5 + 3/5*f**s.
3*(f + 2)**2/5
Let b(p) be the second derivative of 0 - 53/8*p**4 - 3/20*p**5 - 9/2*p**2 + 6*p - 37/4*p**3 + 2/5*p**6. Find t, given that b(t) = 0.
-2, -1/2, -1/4, 3
Let d = -4 - -8. Suppose -1 = p - d. Factor 12*t + 9*t**2 + 7*t**3 - 4*t**p - 6*t.
3*t*(t + 1)*(t + 2)
Suppose 19 = -4*q - 25. Let n = 15 + q. Let b - 5*b**3 - 2*b**2 - 3*b**4 + 3*b**2 + 2*b**2 + n*b**5 = 0. What is b?
-1, -1/4, 0, 1
Let m be (-126)/(-49) + (-6)/(-14). Suppose -m = -3*l - 3. Factor l*s + 0 - 2/3*s**2.
-2*s**2/3
Let g(j) be the third derivative of j**7/490 - 29*j**6/280 + 8*j**5/5 - 7*j**4/2 + 110*j**2. Let g(f) = 0. Calculate f.
0, 1, 14
Let h = -20/211 - -642/2321. Factor 0 + h*g**2 - 2/11*g**4 + 0*g - 2/11*g**5 + 2/11*g**3.
-2*g**2*(g - 1)*(g + 1)**2/11
Let k(f) be the second derivative of f**9/15120 - f**8/3360 + f**7/2520 + f**4/12 - 15*f. Let l(u) be the third derivative of k(u). Find z such that l(z) = 0.
0, 1
Let g(m) be the second derivative of -m**4/3 - 176*m**3/3 - 3872*m**2 + 31*m. Find u such that g(u) = 0.
-44
Let j(o) be the first derivative of o**4/6 - 2*o - 4. Let c(i) be the first derivative of j(i). Factor c(b).
2*b**2
Let c = -12 - -15. Suppose -c*y + 0*y + 5*n = -26, 0 = y + n + 2. Suppose -2*h**3 + 5*h**3 + 10*h + h**2 + y*h**2 + h**4 - 9*h = 0. What is h?
-1, 0
Let 1/3*z**2 + 41/3*z - 86/3 = 0. Calculate z.
-43, 2
Let f(o) be the second derivative of o**6/120 + 3*o**5/40 + o**4/4 - 7*o**3/6 - 6*o. Let c(l) be the second derivative of f(l). Factor c(d).
3*(d + 1)*(d + 2)
Let u(l) = l**2 - 14*l + 16. Let y be u(11). Let d = -12 - y. Factor 4*c**4 - 2*c**5 + 9*c**3 + 3*c**2 - c**5 + d*c**4 + 6*c**5.
3*c**2*(c + 1)**3
Let d = 562 - 558. Factor 1/2*x**d - 1/6*x**5 + 1/6*x**2 - 1/2*x**3 + 0*x + 0.
-x**2*(x - 1)**3/6
Let p(y) be the second derivative of y**7/56 - y**6/10 - 3*y**5/10 + 7*y**4/8 + 7*y**3/8 - 15*y**2/4 - 30*y + 3. Let p(w) = 0. What is w?
-2, -1, 1, 5
Suppose 3 = 3*d - 2*t - 11, 7 = 2*d + t. Suppose -f - 3*f + d*g = -20, 5 = 3*f + 2*g. Determine m, given that 8*m - 1 - f*m**2 + 1 - m**2 = 0.
0, 2
Let z(j) = j**2 + 38*j + 192. Let m be z(-32). Find u such that -2/7*u**4 + 0 + 0*u + 0*u**3 + m*u**2 + 2/7*u**5 = 0.
0, 1
Factor -26*b + 29 - 9*b + 52*b**2 + 7*b - 53*b**2.
-(b - 1)*(b + 29)
Let b(o) be the first derivative of 5*o**2 + 2*o + 19 + 3/2*o**3. Let b(a) = 0. What is a?
-2, -2/9
Let c be 9 - 3/84*236. What is i in -2/7 - 2/7*i**2 + c*i = 0?
1
Suppose -5*f + 2*r = -18, -16 = 13*f - 17*f + 2*r. Let p(l) be the second derivative of -8*l - f*l**2 + 0 + 3/10*l**5 + 1/3*l**4 - l**3. Factor p(h).
2*(h - 1)*(h + 1)*(3*h + 2)
Let w(f) be the second derivative of -f**4/6 - 3*f**3 + 22*f**2 - 55*f. Suppose w(d) = 0. What is d?
-11, 2
Let l(u) be the first derivative of -28*u**5/25 - 23*u**4/5 - 8*u**3/5 - 79. Factor l(s).
-4*s**2*(s + 3)*(7*s + 2)/5
Find r, given that 675*r - 50 - 37 + 225*r**3 - 20*r**4 - 38 - 755*r**2 = 0.
1/4, 1, 5
Let x(r) be the third derivative of 0*r - 1/60*r**5 + 1/3*r**4 + 0 + 15*r**2 - 8/3*r**3. Suppose x(z) = 0. What is z?
4
Let t be 4*((-3)/6 + 1). Let u(s) = -4*s**3 - 11*s**2 - 7*s. Let i(n) = 2*n**3 + 6*n**2 + 4*n. Let w(g) = t*u(g) + 5*i(g). Determine p, given that w(p) = 0.
-3, -1, 0
Let u = -11 + 16. Let d(r) be the first derivative of -2/15*r**5 + 14/45*r**3 - 4/15*r - 1/5*r**2 + u + 1/10*r**4. Determine n, given that d(n) = 0.
-1, -2/5, 1
Suppose 454*w**2 + 320 - 36*w**4 + 70*w**4 + 450*w**2 + 1408*w + 66*w**4 + 152*w**2 - 1120*w**3 = 0. What is w?
-2/5, 2, 10
Factor -54*k - 4*k**2 + 22*k**2 + 35*k - 3*k**3 - 5*k.
-3*k*(k - 4)*(k - 2)
Let j(b) = b + 8. Let n be j(-6). Solve -2*t**2 + 5*t**n - t**2 + 10*t - 15*t**3 + 3*t**2 = 0.
-2/3, 0, 1
Suppose 90*t + 2*y - 22 = 86*t, 5*t - 32 = -4*y. Let p(x) be the second derivative of 9*x + 0*x**2 + 0 + 0*x**3 + 1/3*x**t. Solve p(l) = 0 for l.
0
Suppose -9/5*d - 9/5*d**4 + 6/5*d**3 + 3/5*d**5 + 6/5*d**2 + 3/5 = 0. What is d?
-1, 1
Let a(d) be the second derivative of 15*d + 0 + 7/60*d**4 - 7/150*d**6 - 1/30*d**3 + 0*d**2 + 1/100*d**5. Factor a(v).
-v*(v - 1)*(v + 1)*(7*v - 1)/5
Let o be 1/3 - (-1)/(-3). Suppose o = l + l + 2*w - 10, 0 = -4*l - w + 14. Suppose 3*y - y**3 + 0*y**3 - 2*y**l = 0. Calculate y.
-1, 0, 1
Let b(s) = 2*s**3 + 2*s. Let q(l) = -l**4 - 94*l**3 - 2600*l**2 + 110*l + 2601. Let o(c) = -4*b(c) + q(c). Factor o(i).
-(i - 1)*(i + 1)*(i + 51)**2
Let l(o) be the first derivative of o**4/40 - 3*o**3/10 + 7*o**2/10 + 400. Factor l(v).
v*(v - 7)*(v - 2)/10
Suppose 0 = 6*q - 2*q - 12. Suppose -5*d + q = -12. Factor -7*w + d*w**5 - 21*w**3 - 36*w**2 - 18*w**4 + 60*w**3 + 19*w.
3*w*(w - 2)**2*(w - 1)**2
Factor 1/4*p**4 + 0*p**2 - p + 3/4*p**3 + 0.
p*(p - 1)*(p + 2)**2/4
Let c(i) be the second derivative of -i**5/24 + 1325*i**4/72 - 7370*i**3/3 + 7260*i**2 + 530*i. Find p, given that c(p) = 0.
1, 132
Let b = 5335/168 + 51/56. Let f = -32 + b. Factor -2/3*s**2 - f + 4/3*s.
-2*(s - 1)**2/3
Suppose 4*s + 22*k - 10 = 24*k, -3*k - 7 = -4*s. Let m(h) be the first derivative of 2/15*h**3 - 1/5*h**2 + 1/10*h**s - 2/5*h + 9. Factor m(t).
2*(t - 1)*(t + 1)**2/5
Let 0*t + 3/4*t**3 + 0 + 0*t**2 + 1/4*t**4 = 0. What is t?
-3, 0
Let w(f) = -3*f**3 + 8*f**2 - 5. Let d(v) = 6*v**3 - 15*v**2 + 9. Let o be 66/(-8) - 6/8. Let z(c) = o*w(c) - 5*d(c). Factor z(m).
-3*m**2*(m - 1)
Factor 8/7*p**2 - 2/7*p**5 + 0*p + 10/7*p**4 - 16/7*p**3 + 0.
-2*p**2*(p - 2)**2*(p - 1)/7
Let f(y) be the second derivative of 3*y**5/80 - y**4/6 - y**3/6 + 7*y**2/2 + 40*y. Let d(l) be the first derivative of f(l). Let d(h) = 0. Calculate h.
-2/9, 2
Solve 19/2*f - 2*f**4 - 5*f**2 + 7 - 10*f**3 + 1/2*f**5 = 0.
-2, -1, 1, 7
Suppose -x + 6 = -j + 2*x, 2*j + 52 = -4*x. Let g = j + 20. Factor 2*d**2 + d**2 + d**2 - 2*d**g.
2*d**2
Suppose 4*k = -3*c + 7, -4*k - k - 4*c = -8. Factor 8*h - 5*h + 4*h + 8*h**2 + k*h**3 - 3*h.
4*h*(h + 1)**2
Let l be -2 - -6 - (-2 - -1). Let f = -11 - -18. Solve -p + 2*p - 4*p**2 - 2 + 5*p**4 + p**4 + 2*p**l + 4*p**3 - f*p = 0 for p.
-1, 1
Suppose -4*b + 4 = -4. Let n(f) = f**5 - f**4 - f**3 + f**2 - 1. Let r(p) = 4*p**5 - 4*p**3 - 2. Let h(v) = b*n(v) - r(v). Factor h(d).
-2*d**2*(d - 1)*(d + 1)**2
Let v(j) be the second derivative of -3*j**7/14 + 11*j**6/10 - 27*j**5/20 - 7*j**4/4 + 6*j**3 - 6*j**2 + 6*j - 1. Solve v(g) = 0.
-1, 2/3, 1, 2
Let o(w) be the first derivative of w**4/8 - 5*w**3/6 - 3*w**2/2 + 426. Find n, given that o(n) = 0.
-1, 0, 6
Suppose 11*u - 12*u = 18. Let g be (3/u)/1*-4. Factor g*v**2 + 0 + 2/3*v.
2*v*(v + 1)/3
Factor 2/7*k**4 - 2*k**2 - 30/7*k + 36/7 + 6/7*k**3.
2*(k - 2)*(k - 1)*(k + 3)**2/7
Let i(m) = 2*m**2 - m - 1. Let t(q) = -5*q**2 - 20*q - 10. Let y(c) = 10*i(c) - t(c). Factor y(g).
5*g*(5*g + 2)
Let p(l) be the third derivative of l**6/1980 - 7*l**5/660 + 16*l**3/3 - 32*l**2. Let x(k) be the first derivative of p(k). Factor x(i).
2*i*(i - 7)/11
Let u(h) be the second de