nd derivative of t(r). Factor m(v).
-2*v**2*(v + 11)/9
Let q(y) be the second derivative of -y**3/3 + 7*y**2 + 21*y. Let m be q(6). Factor b + 31*b**3 - 4*b**m - 14*b**3 - 21*b**3 + b**2.
-b*(b + 1)*(4*b - 1)
Let o = -1262 + 1266. Let j be (-8)/(-3)*9/42. Factor -4/7*b**3 - 2/7 + 2/7*b + j*b**2 + 2/7*b**5 - 2/7*b**o.
2*(b - 1)**3*(b + 1)**2/7
Suppose 0 = -3*d + 7*d - 2132. Let x = d + -2123/4. Solve 3 - x*q**2 - 3/4*q**3 + 0*q = 0 for q.
-2, 1
Let k = 55 + -50. Suppose -20 = -w + k*n - 1, -2*w - n + 5 = 0. Solve -2*j**3 - 4*j**3 + 0*j**4 + j**5 - j**w + 4*j**3 = 0 for j.
-1, 0, 2
Let c(q) be the first derivative of -q**5/40 + q**3/12 + 11*q - 14. Let m(y) be the first derivative of c(y). What is u in m(u) = 0?
-1, 0, 1
Let v(h) be the second derivative of -20*h + 0*h**3 + 0*h**2 - 2/15*h**6 + 7/5*h**5 - 10/3*h**4 + 0. Factor v(g).
-4*g**2*(g - 5)*(g - 2)
Let y = -898727/2 - -449364. Factor -1/6*j**2 + y*j + 0.
-j*(j - 3)/6
Let r(u) = -u**3 + 67*u**2 - 1015*u + 957. Suppose 5 = -6*s - 19. Let j(f) = -f**3 + 66*f**2 - 1017*f + 958. Let x(o) = s*j(o) + 3*r(o). Factor x(a).
(a - 31)**2*(a - 1)
Let h(l) be the first derivative of 2*l**6/3 + 4*l**5 - 5*l**4 - 100*l**3/3 + 80*l**2 - 64*l - 2280. Factor h(m).
4*(m - 1)**3*(m + 4)**2
Determine s so that 1737/8*s**2 + 0 + 3/8*s**5 - 717/8*s**3 + 1053/4*s - 345/8*s**4 = 0.
-3, -1, 0, 2, 117
Let c = -84 - -87. Factor -3 + 224*n**c + 3 + 40*n - 228*n**2 - 205*n**4 + 169*n**4.
-4*n*(n - 5)*(n - 1)*(9*n - 2)
Let k(g) be the first derivative of -15/2*g**6 + 40*g - 253 + 225/4*g**4 - 90*g**2 + 2*g**5 - 50/3*g**3. Determine o, given that k(o) = 0.
-2, -1, 2/9, 1, 2
Let p(j) = 30*j - 36. Let d be p(2). Let 118*r + 3*r**3 - 54 + d*r**2 - 272*r + 121*r = 0. What is r?
-9, -1, 2
Suppose -36*k - 84 = -192. Factor -4*g - 2*g - 43*g - 21*g**4 + 16 + 54*g**3 + 11 - 6*g**2 - 2*g - k*g**5.
-3*(g - 1)**3*(g + 1)*(g + 9)
Let s(x) be the third derivative of 1/105*x**7 + 1/4*x**4 + 0 + 20*x**2 + 4/3*x**3 - 1/6*x**5 - 1/20*x**6 - 2*x. Factor s(w).
2*(w - 4)*(w - 1)*(w + 1)**2
Let k = -98 + 108. Suppose 5 = 5*r + f, -k = -3*r + 5*f + 21. Find a such that 2/5*a**3 + 0 + 0*a - 2/5*a**r = 0.
0, 1
Let m(l) be the first derivative of 2*l**3/15 - 21*l**2/5 + 36*l - 897. Let m(s) = 0. What is s?
6, 15
Suppose 136 = 3*x - 10*h, 6803*h - 46 = 3*x + 6807*h. Factor 386/7*o**3 + 2/7*o**5 - 52/7*o**4 + 288/7*o - 624/7*o**x + 0.
2*o*(o - 12)**2*(o - 1)**2/7
Let b(q) = 8*q**2 - 185*q + 25. Let j be b(23). Let h be 25/3*6/9. Find c, given that -88/9*c - 140/9*c**4 + 124/9*c**j + 38/9*c**3 + h*c**5 + 16/9 = 0.
-1, 2/5, 1, 2
Let h = -391 - -395. Factor 48*s**h - 5*s**2 - 4*s**5 + 52*s**3 - 71 + 5*s**2 + 71.
-4*s**3*(s - 13)*(s + 1)
Let z(m) be the third derivative of m**5/30 - m**4/4 + m**3 + 94*m**2. Let b be z(2). Let -6/7 - 2/7*l**b + 8/7*l = 0. Calculate l.
1, 3
Let q = 99453/29050 + 21/4150. Factor 4/7*m**2 - 20/7*m + q.
4*(m - 3)*(m - 2)/7
Let l(p) be the third derivative of 20*p**7/21 - 67*p**6/3 + 4489*p**5/30 - 1360*p**2. Factor l(y).
2*y**2*(10*y - 67)**2
Let c = 415701/7 + -59385. Factor -c*x**4 + 0 + 3/7*x + 0*x**2 - 9/7*x**3.
-3*x*(x + 1)**2*(2*x - 1)/7
Let u be (-6)/((-24)/17)*4*-1. Let y be 7 - u - (0 + 1)*-1. Factor -40*t - 3*t**2 + y - t**2 - 125.
-4*(t + 5)**2
Solve 67357*f**2 - 64 - 67477*f**2 + 20*f**3 + 4*f**5 + 2*f**5 - 176*f + 34*f**4 = 0.
-4, -2, -1, -2/3, 2
Let w(s) = 5*s**4 + 245*s**3 - 4600*s**2 - 15*s + 15. Let u(o) = o**4 + 61*o**3 - 1150*o**2 - 4*o + 4. Let q(b) = -15*u(b) + 4*w(b). Factor q(m).
5*m**2*(m - 10)*(m + 23)
Let h = 25421/9543 + 9/3181. Find l, given that -2/3*l**2 - h*l - 2 = 0.
-3, -1
Let j be (2/(-5))/((-10)/(-50)) + 4. Let d be (3/20)/(24/20 + 0). Factor d*q**j + 0 + 0*q.
q**2/8
Let k(j) = 2*j + 3. Let t be k(5). Find a such that 10*a - 28*a + t*a**3 + 3*a**2 - 7*a**4 + a**5 - 68 + 68 = 0.
-1, 0, 2, 3
Let x(k) be the third derivative of 0*k + 0 + 0*k**7 + 1/168*k**8 + 0*k**3 + 0*k**5 - 1/60*k**6 + 44*k**2 + 0*k**4. Find t, given that x(t) = 0.
-1, 0, 1
Suppose 0 = -2*d - 0*d + 6. Suppose 5*v = o + 42 + 6, d*v + 2*o = 34. Find s, given that s**4 + 5 + 5*s - 10*s**3 - 16*s**4 + 10*s**2 - 5*s**5 + v*s = 0.
-1, 1
Factor -2*g**3 - 224*g - 3*g**2 + 162*g**3 + g**4 - 90 - 23*g**3 - 63*g**3 - 58.
(g - 2)*(g + 1)**2*(g + 74)
Let b = 2354004/5 - 470796. Determine u, given that 0 + b*u - 46/5*u**2 + 4*u**3 + 2/5*u**4 = 0.
-12, 0, 1
Let o(h) be the first derivative of h**3/4 + 1377*h**2/4 + 632043*h/4 + 311. Factor o(w).
3*(w + 459)**2/4
Let t(l) be the third derivative of -l**5/20 + 189*l**4/8 - 279*l**3 - 6092*l**2. Factor t(m).
-3*(m - 186)*(m - 3)
Let s be 248/13020*(-8 + 3 - -10). Factor 6/7*m**2 - 10/7*m - 50/21 - s*m**3.
-2*(m - 5)**2*(m + 1)/21
What is p in -3/4*p**3 - 3222*p**2 - 2202370176 - 4613904*p = 0?
-1432
Let z(v) be the first derivative of -v**5/100 - v**4/10 + v**3/2 - 4*v**2/5 - 43*v - 47. Let w(n) be the first derivative of z(n). Factor w(i).
-(i - 1)**2*(i + 8)/5
Let v be ((-153)/(-612) - ((-6)/(-8))/3)/3. Let h(q) be the second derivative of v*q**2 + 0 - 19/24*q**5 + q + 0*q**3 - 7/36*q**6 + 5/12*q**4. Factor h(u).
-5*u**2*(u + 3)*(7*u - 2)/6
Let r(o) be the second derivative of -22*o - 3/10*o**5 - 5 + 1/5*o**6 + 1/14*o**7 + 1/2*o**3 - o**4 + 3*o**2. Find n, given that r(n) = 0.
-2, -1, 1
Let s(y) be the third derivative of 3*y**7/175 - 16*y**6/75 - y**5/75 + 16*y**4/15 - 7*y**3/15 + 15*y**2 + 18. Find l, given that s(l) = 0.
-1, 1/9, 1, 7
Let g(v) be the third derivative of -v**6/480 + 69*v**5/40 - 4761*v**4/8 + 109503*v**3 + 3*v**2 - 80. Determine m, given that g(m) = 0.
138
Solve r**4 - 144*r - 2*r**3 - 143*r + 278*r + 19*r**2 + 0*r**4 - 9*r**3 = 0.
0, 1, 9
Determine y, given that 2132*y**2 + 27*y**4 + 21847*y - 260*y**3 + 5780*y**2 + 13261*y - 24*y**4 - y**4 + 26934 = 0.
-3, -1, 67
Let i be 0/((-13 - -5)/(-4)). Let a(v) be the first derivative of -3/5*v**5 + 3/2*v**4 + i*v - 3*v**2 - 2 + v**3. Factor a(s).
-3*s*(s - 2)*(s - 1)*(s + 1)
Let v be 2 + 0/1 - 0. Suppose -5*m + 2*w + 10 = -2, -m - w = -1. Factor -62*h**3 + 58*h**3 + 2*h**4 - 2*h**m + v*h**2.
2*h**3*(h - 2)
Let o(i) be the first derivative of 2*i**5/95 - 2*i**4/19 - 8*i**3/57 + 16*i**2/19 + 2627. Find c, given that o(c) = 0.
-2, 0, 2, 4
Factor 14502*w**3 + 174*w**2 + 142*w**2 - 14402*w**3 + 4*w**4 - 420*w.
4*w*(w - 1)*(w + 5)*(w + 21)
Let i(p) be the second derivative of 50/7*p**3 - 9/35*p**5 + 0 - 1/70*p**6 - 15/14*p**4 + 1125/14*p**2 - 84*p. Factor i(m).
-3*(m - 3)*(m + 5)**3/7
Let z(b) be the first derivative of 13*b**4 - 184*b**3/3 + 66*b**2 + 1833. Factor z(q).
4*q*(q - 1)*(13*q - 33)
Suppose -16*i + 367 = 4 - 53. Let q(j) be the first derivative of i + 1/12*j**4 - 2/3*j - 1/6*j**2 + 2/9*j**3. Factor q(h).
(h - 1)*(h + 1)*(h + 2)/3
Let k(a) = 133*a**2 - 5593*a + 5568. Let r(u) = 30*u**2 - 1398*u + 1392. Let w(b) = -2*k(b) + 9*r(b). Factor w(x).
4*(x - 348)*(x - 1)
Let g(h) = h**5 + h**4 + 1. Let w(n) = 478 + 5*n**3 - 7*n**2 - 472 + 7*n**5 - 2*n**4 + 4*n**3 + 3*n**4 + 2*n. Let s(l) = 30*g(l) - 5*w(l). Solve s(k) = 0 for k.
0, 1, 2
Let p(s) = -30*s**2 + 3451*s + 236. Let d(j) = -30*j**2 + 3450*j + 234. Let k(g) = 6*d(g) - 4*p(g). Suppose k(f) = 0. What is f?
-1/15, 115
Let 1940*u**2 - 1935*u - 52*u**3 - 36*u**3 - 30*u**3 - 35*u**3 + 148*u**3 = 0. What is u?
0, 1, 387
Let j(u) be the second derivative of -u**6/1260 + u**5/30 - 2*u**4/7 + u**3/2 + 13*u**2/2 - 21*u - 2. Let p(q) be the second derivative of j(q). Factor p(c).
-2*(c - 12)*(c - 2)/7
Let u(d) be the third derivative of d**6/24 + 107*d**5/60 - 61*d**4/12 - 112*d**3/3 - 32*d**2 + 11*d. Factor u(c).
(c - 2)*(c + 1)*(5*c + 112)
Let y be 11 - 0 - 29725/2706. Let r(s) be the second derivative of -3/11*s**2 + 4/33*s**3 + 0 - 6*s - y*s**4. Solve r(l) = 0.
1, 3
Let j(a) be the third derivative of -1/24*a**3 - 1/168*a**7 + 0*a - a**2 - 1/1344*a**8 - 13 - 1/24*a**5 - 1/48*a**6 - 5/96*a**4. Suppose j(h) = 0. Calculate h.
-1
Let h(g) = -15*g**2 + 63*g - 8. Let b(q) = -83*q**2 + 997*q - 556*q + 59*q**2 - 57 - 81*q**2. Let o(i) = -4*b(i) + 27*h(i). Suppose o(s) = 0. What is s?
1/5, 4
Let j(c) be the second derivative of -3*c**4/16 - 287*c**3/24 + 37*c**2 + 4723*c. Factor j(u).
-(u - 1)*(9*u + 296)/4
Let x(s) be the third derivative of s**6/120 + 4*s**5/21 - 149*s**4/168 - 