/16*w**3. Factor t(p).
3*(p - 3)*(p - 1)/8
Let a(n) be the second derivative of 600*n**2 - 20*n**3 - 8 + 1/4*n**4 + 4*n. Factor a(t).
3*(t - 20)**2
Let s(y) be the third derivative of -116*y**2 - 1/3*y**5 + 0*y**3 + 1/105*y**7 + 0*y - 2/3*y**4 + 0 - 1/60*y**6. Factor s(q).
2*q*(q - 4)*(q + 1)*(q + 2)
Let h = 31943/5 - 606737/95. Factor -2/19*q**3 - h + 8/19*q**2 + 6/19*q.
-2*(q - 3)**2*(q + 2)/19
Let b be (9778/(-8561))/((-108)/63). Let p = b + 1/2446. Let p*r + 1/9*r**2 + 1 = 0. What is r?
-3
Let u(j) be the first derivative of -j**6/4 - 7*j**5/10 - 7*j**4/24 + 17*j**3/18 + 4*j**2/3 + 2*j/3 - 675. Find f such that u(f) = 0.
-1, -2/3, 1
Let l(x) be the second derivative of x**7/189 + 16*x**6/135 - 17*x**5/9 + 28*x**4/3 - 21*x**3 + 24*x**2 - 4*x + 156. What is y in l(y) = 0?
-24, 1, 3
Let n = -5292 + 5297. Let v(t) be the second derivative of 0*t**3 + 1/28*t**4 + 1/140*t**n + 0 - 31*t + 0*t**2. Find u such that v(u) = 0.
-3, 0
Let c(t) be the first derivative of -121*t + 11/2*t**2 - 1/12*t**3 - 21. What is o in c(o) = 0?
22
Let i(y) = 2*y**2 - 18*y - 32. Let z(p) be the third derivative of -1/60*p**5 + 1/6*p**3 - 18*p**2 + 0*p**4 + 0 + 0*p. Let u(r) = i(r) + 5*z(r). Factor u(w).
-3*(w + 3)**2
Let a(f) = f**2 - 34*f - 293. Let v be a(-7). Let c(m) = -28*m - 164. Let u be c(v). What is w in 75/7*w**u - 285/7*w**3 + 204/7*w - 108/7*w**2 - 48/7 = 0?
-1, 2/5, 4
Determine t, given that 2/3 - 1/3*t**2 - 1/3*t = 0.
-2, 1
What is v in -78*v**2 - 8*v + 367*v - 48*v**3 - 474 + 50*v**3 + 23*v + 936 = 0?
-1, 7, 33
Let l(p) be the second derivative of -p**5/50 - p**4/2 + 1452*p. Suppose l(w) = 0. Calculate w.
-15, 0
Let g(o) be the first derivative of o**6/3060 - o**5/170 + 5*o**4/204 + 41*o**3/3 + o**2 + 40. Let n(c) be the third derivative of g(c). Factor n(b).
2*(b - 5)*(b - 1)/17
Let x be 3*-3 + ((-5820)/(-160) - 12 - 15). Determine z, given that 0*z - x*z**3 + 0 - 9/4*z**2 = 0.
-6, 0
Let f be (-1)/6*2*(-90)/5. Suppose 0*v - v = -5*o - f, 3*v = -2*o + 18. Factor 3*a + 6*a + 6*a**2 + v - a - 4*a**2.
2*(a + 1)*(a + 3)
Factor -1/10*a**4 - 188/5*a + 0 - 237/5*a**2 - 99/10*a**3.
-a*(a + 1)*(a + 4)*(a + 94)/10
Let z = 727778 - 4366663/6. Factor z*n**2 - 145*n + 12615/2.
5*(n - 87)**2/6
Suppose -u + 2*u = 11. Let g(m) = -6*m**2 + 64*m + 27. Let i be g(u). Let 2/5*w**2 - 1/5 - 1/5*w**4 - 2/5*w + 4/5*w**3 - 2/5*w**i = 0. What is w?
-1, -1/2, 1
Let b(p) be the first derivative of p**5/45 + 67*p**4/18 + 171*p**3 + 462*p**2 - 1452*p + 155. Factor b(w).
(w - 1)*(w + 3)*(w + 66)**2/9
Suppose 3*g + 71 - 80 = 0. What is x in -4*x**3 + 1 - 4 + 15*x - 9*x**2 + 5*x**g - 4 = 0?
1, 7
Let x be 7/(-1) - (24/(-8) + 2). Let d be (2/x)/(19 - 1265/66). Suppose 0*a**2 + 3/2*a**4 - 7/2*a**3 + d*a + 0 = 0. Calculate a.
-2/3, 0, 1, 2
Let w = 36 - 19. Suppose 4*u + 4*d = 3*d + w, -21 = -3*u + 2*d. Factor 8*r**3 + 4 - 10*r**3 + r + u*r.
-2*(r - 2)*(r + 1)**2
Let i be 0/(1 + (-10 - -10)). Suppose i = 8*k - 18*k + 4*k. Factor 0 + 0*a**3 + k*a - 2/13*a**2 + 2/13*a**4.
2*a**2*(a - 1)*(a + 1)/13
Suppose -4*f = -2*d + 24, 3*f - 21*d + 154 = -176. Factor -16/23 - 2/23*v**f - 12/23*v.
-2*(v + 2)*(v + 4)/23
Determine j so that -1/7*j**3 - 31/7*j**2 - 134/7*j - 104/7 = 0.
-26, -4, -1
Let a(d) be the second derivative of d**4/126 - 688*d**3/63 + 118336*d**2/21 - d - 219. Solve a(k) = 0.
344
Let b = 58909/33129 + -13/33129. Solve b - 20/9*w**5 - 68/9*w**4 + 64/9*w - 44/9*w**3 + 52/9*w**2 = 0.
-2, -1, -2/5, 1
Let g(w) = 4*w**2 - 8*w + 7. Let h be g(7). Factor 4*i**4 - h*i - 12*i**2 + 2*i**5 + 147*i - 10*i**3.
2*i**2*(i - 2)*(i + 1)*(i + 3)
Let x(u) be the third derivative of u**5/30 - 75*u**4/4 + 224*u**3/3 - 200*u**2. Find a such that x(a) = 0.
1, 224
Let j = 269453 + -269449. Let 2*h**j - 32/3*h**3 + 2/3*h**5 - 128/3 - 40/3*h**2 + 64*h = 0. Calculate h.
-4, 1, 2
Let o(l) be the second derivative of -l**4/42 - 44*l**3/21 - 123*l**2/7 - 474*l. Factor o(k).
-2*(k + 3)*(k + 41)/7
Suppose -731*h - 142*h - 14688 = -1604*h - 1717*h. Factor 9/2*z - h - 3/4*z**2.
-3*(z - 4)*(z - 2)/4
Let z(r) be the first derivative of -r**7/735 - r**6/105 - r**5/42 - r**4/42 + 47*r**2/2 - 39. Let c(a) be the second derivative of z(a). Factor c(q).
-2*q*(q + 1)**2*(q + 2)/7
Let g = 835 - 836. Let y(t) = -t**3 + t**2 - 2*t - 1. Let m(l) = -l**3 - 23*l**2 + 164*l - 146. Let d(s) = g*m(s) + 2*y(s). Factor d(v).
-(v - 12)**2*(v - 1)
Let u = 21 - 18. Suppose 12*o + 16*o**u + 17*o + 4*o**4 - o - 12*o**2 + 24 - 28*o**3 = 0. What is o?
-1, 2, 3
Let o be ((-235)/(-8) - (-75)/(-200))*5. Suppose -140*g = -o*g + 15. Factor -4/5*d**4 + 2/5*d**5 - 6/5*d**g + 8/5*d**2 + 0 + 8/5*d.
2*d*(d - 2)**2*(d + 1)**2/5
Suppose -2*a - 3*v = -144, 3*a + 5*v = -2*a + 350. Solve -68*b**2 - 69*b**2 - a*b**2 - 60*b + 65 + 198*b**2 = 0.
-13, 1
Let o be ((-168)/252)/(1*7/(-3)). Let g(w) be the first derivative of 19 - 1/21*w**6 + 3/14*w**4 + 0*w + o*w**2 + 10/21*w**3 - 2/35*w**5. Factor g(q).
-2*q*(q - 2)*(q + 1)**3/7
Let u(g) = -9*g - g + 5*g**2 - 6*g**2. Let o be 1/(-11) - (-1 + (-336)/66). Let w(t) = -t**2 - 11*t. Let a(m) = o*u(m) - 5*w(m). Factor a(y).
-y*(y + 5)
Suppose 2/9*a**4 - 28/9*a**3 - 32/9*a + 0 - 62/9*a**2 = 0. What is a?
-1, 0, 16
Factor 792/7*d**2 + 18399744/7 - 1/7*d**3 - 209088/7*d.
-(d - 264)**3/7
Suppose 3 = -2*p - 5. Let f(z) = -z**2 + 8*z + 5. Let q(l) = 3 + 8*l + 3 + 0*l. Let r(s) = p*f(s) + 6*q(s). Solve r(k) = 0 for k.
-2
Let a(b) = 4 + b**3 + b**2 - 1 - 4 - b**4 + 0*b**2. Let m = -488 + 493. Let x(t) = t**4 + 4*t**3 - 13*t**2 + 6*t + 2. Let z(k) = m*x(k) + 10*a(k). Factor z(w).
-5*w*(w - 3)*(w - 2)*(w - 1)
Let -11*g - 1040668 + 5*g**2 - 8*g**4 + 3*g**3 + 1040671 + 8*g**3 = 0. Calculate g.
-1, 3/8, 1
Suppose -4*a**5 + 92*a**3 - 117*a + 179*a - 12*a**4 - 150*a + 28*a**2 - 96 + 80*a**2 = 0. Calculate a.
-6, -1, 1, 4
Suppose 3*o = 3 + 12, -1158 = 4*s + 2*o. Let r = s + 294. Determine c, given that 0 + 5/2*c**5 + 0*c + 5*c**4 + 0*c**r + 0*c**3 = 0.
-2, 0
Let z(g) be the first derivative of 2/3*g**3 + 0*g + 25/36*g**4 - 1/10*g**5 + 10*g**2 + 20. Let p(r) be the second derivative of z(r). Factor p(i).
-2*(i - 3)*(9*i + 2)/3
Let u(t) be the first derivative of -t**9/1512 + t**7/84 - t**5/15 - 47*t**3/3 - 9. Let n(g) be the third derivative of u(g). Find z such that n(z) = 0.
-2, -1, 0, 1, 2
Let o(l) be the third derivative of l**8/2016 - 127*l**7/630 + 5623*l**6/240 - 11687*l**5/45 + 4805*l**4/9 - 3*l**2 + 23*l - 4. Solve o(h) = 0.
0, 1, 5, 124
Let g(m) be the third derivative of -m**5/20 - 69*m**4/4 + 284*m**3 - 4032*m**2. Let g(d) = 0. Calculate d.
-142, 4
Let r(a) be the third derivative of -25*a**8/336 - 2*a**7/3 + 187*a**6/24 - 155*a**5/6 + 245*a**4/6 - 100*a**3/3 + 409*a**2 - a. Solve r(b) = 0 for b.
-10, 2/5, 1, 2
Let t(f) = f. Let l(j) = 5*j - 6. Let h(z) = -l(z) + 4*t(z). Let u be h(4). Factor 82*q - 167*q - 2*q**2 + 2*q**4 - u*q**3 + 87*q.
2*q*(q - 1)**2*(q + 1)
Let n = -38 + 79. Let h = -38 + n. Find a, given that 5*a**2 + 16*a - 28*a**5 - 4*a**4 + 68*a**4 - 69*a**2 + 12*a**h = 0.
-1, 0, 2/7, 1, 2
Let k(m) be the first derivative of m**4/24 - m**3/3 - 5*m**2/4 - 125*m - 21. Let j(g) be the first derivative of k(g). Factor j(i).
(i - 5)*(i + 1)/2
Let v be ((-7 - -48)*-1)/(34 - 38). Suppose -13/4*t**5 - 1 - 37/4*t**2 + 8*t + v*t**4 - 19/4*t**3 = 0. Calculate t.
-1, 2/13, 1, 2
Suppose 2*v - 4*z = 2858 - 2830, 0 = -v - 2*z - 10. Factor 0 - 9/2*q**v - 6*q + 3/2*q**3.
3*q*(q - 4)*(q + 1)/2
Let c(j) be the first derivative of 5*j**4/48 + 5*j**3/6 - 25*j**2/8 - 44*j - 71. Let b(n) be the first derivative of c(n). Factor b(u).
5*(u - 1)*(u + 5)/4
Let i(p) be the second derivative of -p**5/10 - 245*p**4/6 - 4704*p**3 + 111132*p**2 + 981*p. Factor i(w).
-2*(w - 7)*(w + 126)**2
Let j(a) be the first derivative of 2*a**5/55 + 75*a**4/22 - 156*a**3/11 - 10032. Solve j(c) = 0 for c.
-78, 0, 3
Let j(u) be the third derivative of -u**5/300 + 8*u**4/3 - 2560*u**3/3 - 325*u**2. Determine n, given that j(n) = 0.
160
Determine i so that 1754/21*i + 878/21 - 2050/7*i**2 + 3526/21*i**3 - 8/21*i**4 = 0.
-1/4, 1, 439
Let p be (-3)/((-3)/(-7)) - 234/(-22). Let f = p + -349/99. Determine r, given that -1/9*r**2 + 2/9 + f*r = 0.
-1, 2
Let t(v) = -7*v**5 + 19*v**4 + 3*v**3 - 25*v**2 + v + 13. Let r(x) = -x**5 - x**4 - x**3 + 7*x**2 - x + 1. Let f(z) 