6)/(-10) - 290/(-725). Factor k*b - 7*b + 195*b**3 - 196*b**3.
-b*(b - 1)*(b + 1)
Let x(o) be the first derivative of 3*o**5/5 + 171*o**4 + 12766*o**3 - 39330*o**2 + 39675*o + 288. Suppose x(b) = 0. Calculate b.
-115, 1
Let n = 46 + -44. Suppose 0*w + 18 = n*a + 3*w, -3*a + 17 = 2*w. Factor -212 + 212 + a*q**2.
3*q**2
Let f(d) be the third derivative of d**8/33600 - d**6/1200 - 19*d**5/30 + 34*d**2. Let z(g) be the third derivative of f(g). Factor z(r).
3*(r - 1)*(r + 1)/5
Let k be (-3)/(4 - (-46)/(-10)). Suppose -2*r + 2*t = -20, k*r + 5*t = t + 32. Determine c, given that -3*c**2 + r*c + c**2 - 6*c = 0.
0, 1
Let r = 38 + 26. Let x = r - 37. Determine k, given that -8*k**2 + x*k**2 - 13*k**2 - k - 5*k**2 = 0.
0, 1
Let o(t) = 26*t**2 + 7*t + 15. Let h(i) = 5*i**2 - i + 3. Let c(v) = -5*h(v) + o(v). Let c(u) = 0. What is u?
-12, 0
Let l = 27333/17083 - 1/85415. Solve l*q**2 + 0 + 9/5*q - 1/5*q**3 = 0 for q.
-1, 0, 9
Suppose h - 2200*v - 117 = -2195*v, -h - 73 = 5*v. Factor 1/2*a**3 + 525/2*a - 441 - h*a**2.
(a - 21)**2*(a - 2)/2
Let o = -8010779/285 + 28108. Let g(y) be the second derivative of -1/38*y**4 + 1/95*y**5 + 7*y + 0 + 4/19*y**2 - 4/57*y**3 + o*y**6. Factor g(a).
2*(a - 1)**2*(a + 2)**2/19
Let h(s) = 3*s**2 - s - 2. Let j be h(2). Suppose -j*y = 1 - 17. Determine n so that 16 + 9*n - 12*n**y - 9*n - 4*n**3 + 0*n**2 = 0.
-2, 1
Find u such that -222*u + 756 - 2/3*u**3 + 64/3*u**2 = 0.
9, 14
Let z be (-6)/((18/4)/(-3)). Suppose -v + 5*s + 7 = -8, 0 = 5*v - z*s - 33. Factor -14*u**2 - 4*u**3 + 3*u**3 - v*u + 10*u**2 + 2*u.
-u*(u + 1)*(u + 3)
Factor 368/7*i**3 - 11160/7*i**2 - 4/7*i**4 + 15376*i + 119164/7.
-4*(i - 31)**3*(i + 1)/7
Let w be 1/(2/(-4) + 1). Let z = -340635 + 2384453/7. Factor -z - 2/7*i**w + 10/7*i.
-2*(i - 4)*(i - 1)/7
Let z(p) be the second derivative of -p**7/231 + 3*p**6/55 + 7*p**5/55 - 6*p**4/11 - 40*p**3/33 - 6*p + 2. Find t, given that z(t) = 0.
-2, -1, 0, 2, 10
Let l(j) be the second derivative of j**5/35 - 6*j**4/7 + 16*j**3/3 + 4958*j. Factor l(m).
4*m*(m - 14)*(m - 4)/7
Let o(n) = 65*n + 70. Let b be o(-1). Let d(h) be the third derivative of 39*h**2 + 0*h + 7/240*h**4 - 1/150*h**b - 1/20*h**3 + 0. Factor d(s).
-(s - 1)*(4*s - 3)/10
Let i(a) be the third derivative of 9/5*a**5 - 4/315*a**7 + 18*a**3 + 0 + 33/4*a**4 - 1/504*a**8 + 2/15*a**6 + 0*a + 156*a**2. Find z such that i(z) = 0.
-3, -1, 6
Let r(i) be the second derivative of 103*i**4/66 - 171*i**3/11 - 10*i**2/11 - 2680*i. Determine n so that r(n) = 0.
-2/103, 5
Let p(c) = 6*c**3 - c**2 + c + 66. Let y be p(6). Let b = y - 3986/3. Factor -8/3 - 2/3*o**2 + b*o.
-2*(o - 4)*(o - 1)/3
Suppose -2*d = -t + 19, -5*t + 3*d = -2*d - 120. Suppose -t - 25*x - 80*x**3 + 90*x + 78*x**2 + 15*x**5 - 1 + 32*x**2 - 80*x**4 + 0*x**5 = 0. Calculate x.
-1, 1/3, 1, 6
Let u = -773673/7 - -110525. Factor u*h**4 + 0*h + 0 + 12/7*h**3 + 18/7*h**2.
2*h**2*(h + 3)**2/7
Let v(j) = 5615*j + 123532. Let q be v(-22). Let g be (6/(-42))/(2/(-7)). Solve -g*x**3 + x + 0 - 1/2*x**q = 0 for x.
-2, 0, 1
Let w(i) be the first derivative of 3/14*i**2 + 2/7*i + 24 - 1/28*i**4 + 0*i**3. Find o, given that w(o) = 0.
-1, 2
Suppose -54*q + 18 = -52*q - 2*h, -5*q + 9 = h. Suppose -6*t = t. Factor -8/9*s**5 + 8/3*s**4 - 2/9*s + 4/3*s**2 - 26/9*s**q + t.
-2*s*(s - 1)**2*(2*s - 1)**2/9
Let o(j) be the second derivative of 0 + 0*j**2 - 4/45*j**4 - 1/150*j**5 - 7/45*j**3 - 11*j. Factor o(r).
-2*r*(r + 1)*(r + 7)/15
Let h(c) be the first derivative of 12/7*c**2 + 0*c - 80 - 1/7*c**3. Factor h(p).
-3*p*(p - 8)/7
Find v such that -1856/19*v - 430592/19 - 2/19*v**2 = 0.
-464
Let c = 7284 - 21838/3. What is s in 4/9*s**2 + 20/9 - c*s = 0?
1/2, 10
Let v = 23008006/55 + -418357. Let g = 149/5 + v. Factor 8/11 - 6/11*a**2 + g*a**3 + 0*a.
2*(a - 2)**2*(a + 1)/11
Find g such that 6286*g**2 + 6256*g**2 - 350 + 25*g**3 + 6162*g**2 + 995*g - 19014*g**2 = 0.
2/5, 5, 7
Let m = 122012 - 366032/3. Solve 0 + 2*r + 1/6*r**3 - m*r**2 = 0 for r.
0, 2, 6
Let c(n) = -21*n**3 - 7589*n**2 - 7612*n - 33. Let f(q) = 4*q**3 + 1518*q**2 + 1522*q + 6. Let d(g) = 4*c(g) + 22*f(g). Factor d(x).
4*x*(x + 1)*(x + 759)
Let z(q) = 2*q**3 - 4*q**2 + 15*q - 25. Let w be z(7). Let 3840*d + 429*d**3 - 93*d**3 - 15*d**4 + w*d**2 - 1200 - 2802*d**2 = 0. What is d?
2/5, 2, 10
Factor -568 - 375*c - 40*c - 604 - 16 + 4*c**2 + 31*c.
4*(c - 99)*(c + 3)
Let g(l) be the first derivative of -l**3/3 - 1935*l**2 - 3744225*l - 6317. What is c in g(c) = 0?
-1935
Let l = -83 - -77. Let u(p) = 30*p**3 + 40*p**2 - 19*p - 40. Let m(r) = -15*r**3 - 20*r**2 + 9*r + 20. Let t(o) = l*u(o) - 11*m(o). Factor t(i).
-5*(i - 1)*(i + 1)*(3*i + 4)
Suppose 10014*j**3 - 10012*j**3 - 10*j**2 - 19*j - 69*j - 4*j**2 = 0. What is j?
-4, 0, 11
Let b(l) be the third derivative of -31/60*l**6 + 7/24*l**4 + 4*l**2 - 3/112*l**8 - 1/2*l**3 + 11/30*l**5 + 3/14*l**7 - 2 + 0*l. Find u, given that b(u) = 0.
-1/3, 1/3, 1, 3
Let k(h) = h**3 - 46*h**2 - 108. Let p be k(46). Let t be (168/(-40) - -3)/(p/40). What is g in t + 40/9*g**2 - 2*g**3 - 26/9*g = 0?
2/9, 1
Factor -1/2*m**3 - 501*m**2 - 18629852 - 167334*m.
-(m + 334)**3/2
Let s(j) = j**4 - j**2 - 1. Let a(l) = 5*l**5 - 12*l**4 - 27*l**3 - 16*l**2 - 6*l + 9. Let x = 31 + 5. Let k(b) = x*s(b) + 4*a(b). Let k(g) = 0. What is g?
-1, -2/5, 0, 3
Let o = -50 + 57. Let g = 22 - o. Suppose g*q - 12*q**3 + 16 + 2*q**2 - 13*q**2 - 9*q**2 + q = 0. What is q?
-2, -2/3, 1
Let g(c) be the second derivative of -c**7/21 + 2*c**6/5 - c**5/10 - 4*c**4 - 16*c**3/3 + 611*c - 1. Solve g(q) = 0.
-1, 0, 4
Let r(q) = q**2 - q + 1. Let j(n) = 4*n**3 + 15*n**2 - 23*n + 8. Let o = 281 + -269. Let b(s) = o*r(s) - 3*j(s). Find v, given that b(v) = 0.
-4, 1/4, 1
Factor -2/3*y**4 - 46/3*y**2 + 16*y**3 + 0 + 0*y.
-2*y**2*(y - 23)*(y - 1)/3
Let o(f) = 97*f**2 + 557*f + 1015. Let n(i) = -17*i**2 - 93*i - 169. Let y(z) = 34*n(z) + 6*o(z). Factor y(a).
4*(a + 2)*(a + 43)
Let k(w) be the first derivative of 0*w**3 - w**2 - 1/40*w**4 + 9/50*w**5 + 21 - 5*w. Let i(p) be the second derivative of k(p). Find a such that i(a) = 0.
0, 1/18
Suppose -2*q + c - 6*c + 35 = 0, -3*q - 3*c = -30. Suppose -488*r**q - r**2 - r**3 + 485*r**5 + 7*r**4 - 2*r**4 = 0. Calculate r.
-1/3, 0, 1
Let c(w) be the third derivative of w**9/1512 - w**8/1344 - w**7/168 + w**4/24 - w**3/2 - 31*w**2. Let v(t) be the second derivative of c(t). Factor v(k).
5*k**2*(k + 1)*(2*k - 3)
Let k(q) be the third derivative of -1/380*q**5 + 2*q**3 + 1/3420*q**6 + 0 + 0*q - 11*q**2 + 1/114*q**4. Let p(n) be the first derivative of k(n). Factor p(f).
2*(f - 2)*(f - 1)/19
Solve -234/11*o + 120/11*o**2 - 216/11 + 84/11*o**3 + 6/11*o**5 - 48/11*o**4 = 0.
-1, 3, 4
Determine n, given that -34*n - 179*n - 2*n**2 - 228*n + 888 - 2*n**2 - 443*n = 0.
-222, 1
Let q(z) be the third derivative of -2*z - 25*z**2 + 0 - 5/504*z**8 - 17/180*z**6 + 0*z**5 + 2/35*z**7 + 0*z**3 + 1/9*z**4. Let q(y) = 0. Calculate y.
-2/5, 0, 1, 2
Let u(b) be the second derivative of -b**4/24 + 287*b**3/6 - 573*b**2/4 + 3*b - 234. Find s such that u(s) = 0.
1, 573
Let s be (-11 - -25)/((-21)/(-6)). Let w(p) be the first derivative of -2/21*p**3 + 0*p - 1/7*p**2 + 1/14*p**s + 2/35*p**5 + 4. Factor w(b).
2*b*(b - 1)*(b + 1)**2/7
Suppose 0 = i - 19 + 10. Suppose 3*g = -t - 5 + i, 5 = -t. Find n, given that 4*n**5 + 34*n**3 - 57*n**3 + 38*n**g + 24*n**4 + 21*n**3 = 0.
-3, 0
Let v be 6/9*(4 + (-2 - -1)). Suppose 60*n**3 - v*n**4 + 265*n**2 - 19*n**4 - 24*n**4 - 40*n - 240 = 0. What is n?
-4/3, 1, 3
Let i = 27 + -24. Suppose i*t - 3 = 2*t. Factor -2*k**2 - 53*k**3 + 6*k - 6 - 16*k + 55*k**t.
2*(k - 3)*(k + 1)**2
Let f be 45496/3384 + 13*-1. Let c(l) be the third derivative of 0*l - 1/12*l**4 - f*l**3 + 1/90*l**5 + 28*l**2 + 0. Determine o, given that c(o) = 0.
-1, 4
Let z(w) be the first derivative of -21*w**4/16 - w**3 + 33*w**2/8 - 3172. What is y in z(y) = 0?
-11/7, 0, 1
Find v such that -232/9 + 1/9*v - 1/9*v**3 + 232/9*v**2 = 0.
-1, 1, 232
Let v(s) be the first derivative of s**4/6 + 3152*s**3/9 + 620944*s**2/3 + 7905. Factor v(p).
2*p*(p + 788)**2/3
Let q(w) be the second derivative of -w**4/12 - 61*w**3/3 + 123*w**2/2 + w - 1023. Factor q(h).
-(h - 1)*(h + 123)
Let d(l) be the third derivative of l**5/90 + 491*l**4/18 + 241081*l**3/9 - 21*l**2. Supp