3*x. Factor a(m).
-m**2*(m - 1)**2*(m + 1)/2
Factor -10443 + 52*k - 289*k - 117*k - 3*k**2.
-3*(k + 59)**2
Let s(r) be the second derivative of 11*r + 0 - 2/3*r**2 - 1/36*r**4 + 2/9*r**3. Factor s(u).
-(u - 2)**2/3
Factor 4*d**2 + 27*d - 20 - 9*d - 34*d.
4*(d - 5)*(d + 1)
Let j(d) be the first derivative of 2*d**3/15 - 7*d**2/5 + 12*d/5 - 95. Factor j(i).
2*(i - 6)*(i - 1)/5
Let 6*c - 30*c**3 - 60 - 3*c**2 + 27*c - 13*c**2 - 3*c**5 - 24*c**4 + 23*c**2 + 77*c**2 = 0. Calculate c.
-5, -4, -1, 1
Let s = -28 - -67. Let m = s - -9. Determine k so that -17*k - 19*k - 10*k + 2*k + 8 + 36*k**3 + m*k**2 = 0.
-2, 1/3
Let l(a) be the first derivative of 0*a**2 - 1/20*a**4 + 0*a + 1/5*a**3 - 3. Factor l(i).
-i**2*(i - 3)/5
Let v(x) be the second derivative of -x**5/50 + 21*x**4/10 - 182*x**3/15 + 24*x**2 + 3*x + 25. Solve v(o) = 0 for o.
1, 2, 60
Let g be (-104)/(-15) - (1 + 3 - 6). Let f = g + -38/5. Solve f - 4/3*p + 4/3*p**3 - 4/3*p**2 = 0.
-1, 1
Find s such that -508/9*s - 10/9*s**3 - 374/9*s**2 - 16 = 0.
-36, -1, -2/5
Let b(d) be the second derivative of d**6/210 - d**5/20 + 5*d**4/28 - 3*d**3/14 - 6*d + 1. Let b(r) = 0. What is r?
0, 1, 3
Let b(h) be the second derivative of -h**6/180 + 2*h**5/15 - 4*h**4/3 - 4*h**3 - 19*h. Let p(j) be the second derivative of b(j). Factor p(y).
-2*(y - 4)**2
Let v(q) be the first derivative of -q**3 - 63*q**2 - 1323*q - 92. Factor v(r).
-3*(r + 21)**2
Let h(y) be the second derivative of y**7/14 + y**6/5 - 6*y**5/5 + 7*y. Solve h(o) = 0.
-4, 0, 2
Solve 4/9*r**3 + 164/9*r**2 - 164/9 - 4/9*r = 0.
-41, -1, 1
Let l be (-24*(-5)/10)/(2/(-5)). Let q = l + 63/2. Factor 0*b + 3/4*b**3 + q*b**2 + 0.
3*b**2*(b + 2)/4
Let n(g) be the first derivative of 3*g**2/2 - 9*g - 5. Let w be n(4). Let 4/7*d - 2/7*d**w + 0 - 2/7*d**2 = 0. What is d?
-2, 0, 1
Let a(d) = -6*d + 336. Let y be a(56). Let s(c) be the second derivative of 0 + 1/15*c**6 + y*c**4 - 1/15*c**5 - 1/63*c**7 + 0*c**2 - c + 0*c**3. Factor s(m).
-2*m**3*(m - 2)*(m - 1)/3
Let m = 21/697 + 2049/1394. Factor 9 - 3/2*o**2 + m*o.
-3*(o - 3)*(o + 2)/2
Let g(u) be the second derivative of 1/6*u**4 - 3*u**2 + 0 + 2/3*u**3 + 7*u. Find v, given that g(v) = 0.
-3, 1
Let t(v) = 39*v**2 + 15*v - 78. Let g(y) = -23*y**2 - 9*y + 47. Let m(w) = -12*g(w) - 7*t(w). Let m(x) = 0. What is x?
-3, 2
Let z(g) be the second derivative of g**6/30 + 16*g**5/25 + 9*g**4/10 - 32*g**3/15 - 59*g**2/10 - 503*g. Solve z(t) = 0 for t.
-59/5, -1, 1
Let g(j) be the third derivative of j**7/1890 + 17*j**6/540 + 253*j**5/540 - 17*j**4/6 + 6*j**3 - 3*j**2 + 36. Factor g(w).
(w - 1)**2*(w + 18)**2/9
Let o be (18 - 0)*(-4)/(-12). Let d be ((-2)/o)/(205/(-492)). Suppose d*u**5 + 0 - 16/5*u**4 - 16/5*u**2 + 4/5*u + 24/5*u**3 = 0. What is u?
0, 1
Let u(v) = v**5 + 5*v**4 - 3*v**3 - 30*v**2 - 25*v - 16. Let s(b) = -b**3 - 2*b**2 + b. Let g(h) = -28*s(h) + 4*u(h). Solve g(w) = 0 for w.
-2, -1, 2
Factor 6/17*y**2 + 2/17*y**3 + 0 - 8/17*y.
2*y*(y - 1)*(y + 4)/17
Let k(u) be the third derivative of -1/9*u**4 - 2/315*u**7 + 0*u**3 + 1/15*u**5 + 0*u + 0 + 0*u**6 - 10*u**2. Find l, given that k(l) = 0.
-2, 0, 1
Let m be (384/160)/(2 + 0). What is b in -56/15*b - m*b**2 - 8/15 + 108/5*b**3 = 0?
-2/9, 1/2
Let c be (2 + 20)*(-2)/4. Let y = c + 19. Factor y*m - 6*m**3 + 0*m**4 - 6*m**4 + 4*m**4.
-2*m*(m - 1)*(m + 2)**2
Let q(j) be the first derivative of -32/15*j**5 - 7/9*j**6 - 29 + 4/3*j**2 + 32/9*j**3 + 1/2*j**4 + 0*j. Suppose q(d) = 0. What is d?
-2, -1, -2/7, 0, 1
What is m in 27/2*m + 27 + 3/2*m**2 = 0?
-6, -3
Let i(o) be the first derivative of 69*o**4/28 - 25*o**3/7 + 3*o**2/7 + 34. Suppose i(a) = 0. Calculate a.
0, 2/23, 1
Let l(j) = -6*j - 42. Let y be l(-11). Suppose -g**2 - y*g - 2*g**2 + 9*g + 9 + 9*g = 0. What is g?
-3, 1
Let i(b) = 14*b**2 - 2*b**2 - 8*b**3 + 0*b**3 - 12 + 4*b**2. Let t(s) = -7*s**3 + 15*s**2 + s - 12. Let p(z) = -3*i(z) + 4*t(z). Factor p(g).
-4*(g - 3)*(g - 1)*(g + 1)
Suppose 1/3*l**5 - 16/3*l**2 + l**4 + 16/3 + 0*l - 4/3*l**3 = 0. Calculate l.
-2, 1, 2
Let k(y) = 12*y**3 - 565*y**2 - 27626*y - 53016. Let j(f) = -15*f**3 + 564*f**2 + 27624*f + 53016. Let g(u) = -5*j(u) - 6*k(u). Find i such that g(i) = 0.
-94, -2
Let l(i) = i**2 - 8*i + 12. Let x be l(2). Find w such that w + 9/4*w**5 + 37/4*w**3 + x + 5*w**2 + 15/2*w**4 = 0.
-1, -2/3, 0
Let w(i) be the second derivative of 5/6*i**4 + 0 - 3*i + 1/4*i**5 - 1/6*i**6 + 0*i**3 + 0*i**2. Factor w(q).
-5*q**2*(q - 2)*(q + 1)
Let s be (-20)/6*(-6)/4. Suppose 0 = 31*g - 23*g - 16. Factor -67*o - 4 + 9 - s*o**g + 67*o.
-5*(o - 1)*(o + 1)
Suppose 11*n = 16*n - 11*n. Solve -5/2*i**2 - 5/4*i**4 + n + 15/4*i**3 + 0*i = 0.
0, 1, 2
Suppose y = -0*y + 2. Factor 4 - 5*a + 4 + 7 + 5*a**y - 15*a.
5*(a - 3)*(a - 1)
Let h(x) be the second derivative of -x**7/280 + x**6/120 - 13*x**3/6 + 19*x. Let u(i) be the second derivative of h(i). Find f, given that u(f) = 0.
0, 1
Let s = 2759/7 - 2754/7. Factor -s*o + 5/7*o**3 + 2/7*o**2 - 2/7.
(o - 1)*(o + 1)*(5*o + 2)/7
Suppose -4*o = -i + 20, i + 0*i + 3*o + 15 = 0. Suppose -3*u + 6 + 9 = i. Factor -10*g**3 + 2*g**3 - u*g**4 - g**5 + 1 - 4*g**2 - 1.
-g**2*(g + 1)*(g + 2)**2
Suppose -b + 2 = -2*p, 4*b + 734*p - 733*p = -1. Suppose 0*o**2 + b - 4/3*o**3 + 16/3*o = 0. What is o?
-2, 0, 2
Let n = 186 + -186. Let b(f) be the third derivative of n + 0*f - 1/15*f**5 - 2/3*f**4 + 2*f**2 - 2*f**3. Factor b(r).
-4*(r + 1)*(r + 3)
Let n(i) be the second derivative of -i**5/60 + 7*i**3/18 - i**2 + 283*i. Suppose n(m) = 0. Calculate m.
-3, 1, 2
Let s(r) be the first derivative of r**6/12 - 13*r**5/10 + 6*r**4 - 6*r**3 - 4. Factor s(w).
w**2*(w - 6)**2*(w - 1)/2
Let t(n) = -n**3 - 12*n**2 - 11*n + 4. Let j be t(-11). Find z, given that -40*z**2 - 7*z + 7*z**3 - 3*z**3 + 3*z**5 - 2 + 8*z**j + 34*z**2 = 0.
-1, -2/3, 1
Determine s so that -68/19*s**2 - 46/19*s**3 + 0 - 32/19*s - 10/19*s**4 = 0.
-2, -8/5, -1, 0
Let m(b) be the third derivative of -b**7/70 + b**6/40 + 9*b**5/20 + 11*b**4/8 + 2*b**3 + 13*b**2. Factor m(p).
-3*(p - 4)*(p + 1)**3
Let n(r) = r**3 + 12*r**2 - 5*r + 13. Let i be n(-13). Let q be (-39)/i - (-78)/14. Factor d**3 - 4*d**4 - q + 6 + 3*d**4.
-d**3*(d - 1)
Find f, given that -1/7*f**2 - 4 + 29/7*f = 0.
1, 28
Let s(o) be the first derivative of o**3 - 27*o**2/2 + 24*o - 511. Suppose s(b) = 0. What is b?
1, 8
Let g(j) be the first derivative of 3*j**4/4 + 17*j**3 + 66*j**2 + 84*j + 42. Factor g(k).
3*(k + 1)*(k + 2)*(k + 14)
Let v be (-40)/(-12)*15/10. Suppose -v*r = -15, -5*b = -r - r - 4. Suppose -b + 36*w - 11*w**2 - 5*w**2 + 6 + 10*w**3 - 34*w = 0. What is w?
-2/5, 1
Let y(l) be the second derivative of 1/4*l**2 + 1/24*l**4 + 1/6*l**3 + 31*l + 0. Factor y(s).
(s + 1)**2/2
Let k(c) be the third derivative of c**6/90 - 4*c**5/15 + 8*c**4/3 - 7*c**3/6 + 6*c**2. Let n(j) be the first derivative of k(j). Factor n(q).
4*(q - 4)**2
Let s = -63 - -65. Determine a, given that -3*a**s + 30*a**3 + 8 - 17*a - 11*a - 2*a**3 - 5*a**2 = 0.
-1, 2/7, 1
Let r = 348 + -250. Suppose 0 = 2*o - 2*x - 34, 4*x + 6 = -4*o + r. Suppose 5/4*f**2 + o + 10*f = 0. Calculate f.
-4
Let a = -2699/48 + 921/16. Determine l so that 0*l - 4/3 + a*l**2 = 0.
-1, 1
Let t = 9 + -16. Let c = -5 - t. Factor -f**3 - 5*f + 3*f + 3*f**2 + 0*f**c.
-f*(f - 2)*(f - 1)
Let t = 5 + 16. Solve 125 - 20*f - 9*f - t*f + 5*f**2 = 0.
5
Suppose 3*o = b - 30, 2*b = -b + 2*o + 55. Suppose b = 2*n + 3*n. Factor 9*q**2 - 3*q**2 - 7*q**2 - q**n.
-q**2*(q + 1)
Let v(d) be the second derivative of 4*d**3 + 28*d - 5/4*d**4 + 3/20*d**5 - 6*d**2 + 0. Determine q so that v(q) = 0.
1, 2
Let p(t) be the third derivative of t**7/13860 + t**6/3960 - t**4/12 + 17*t**2. Let i(k) be the second derivative of p(k). Suppose i(s) = 0. What is s?
-1, 0
Let c(k) = -k + 19. Let o be c(16). Determine r so that -31*r**3 + 11*r**2 + 26*r**o - r**2 = 0.
0, 2
Factor 3/7*w - 18/7 + 3/7*w**2.
3*(w - 2)*(w + 3)/7
Let l(a) be the third derivative of -a**8/72 + a**7/35 - a**6/90 + 132*a**2. Determine j, given that l(j) = 0.
0, 2/7, 1
Factor -4/19*x**3 + 10/19 - 28/19*x - 2/19*x**4 + 24/19*x**2.
-2*(x - 1)**3*(x + 5)/19
Let d(o) = -72*o - 2733. Let z be d(-38). What is x in 0*x + 2/7*x**4 + 8/7*x**z + 8/7*x**2 + 0 = 0?
-2, 0
Let s(j) be the first derivative of -j**3/9 - 64*j**2/3 + 591. Solve s(c) = 