vative of w(p). Factor r(q).
-3*q*(q - 1)*(3*q - 1)
Let l be 1/5 + (-2 - 35170/(-25)). Let n = l - 1402. Let -3/4*q**4 - 27/4*q**2 + 21/4*q - 3/2 + 15/4*q**n = 0. Calculate q.
1, 2
What is m in 2*m**2 - 9*m**2 + 5*m**4 - 13*m**2 - 6*m - 18*m**3 - 9*m**4 = 0?
-3, -1, -1/2, 0
Let o be 145/45 + ((-56)/(-36))/(-7). Suppose 27*g**2 - 18*g + 30*g**2 - 67*g**3 + 58*g**o = 0. What is g?
0, 1/3, 6
Let g(f) be the third derivative of 6*f**2 + 7/9*f**4 + 0 - 1/270*f**5 - 196/3*f**3 - 10*f. Factor g(a).
-2*(a - 42)**2/9
Let -172*i - 199*i - 224*i + 653*i + 2*i**2 + 0*i**2 + 240 = 0. Calculate i.
-24, -5
Solve 54/5 + 18*v**3 - 142/5*v**2 - 186/5*v - 8/5*v**4 = 0.
-1, 1/4, 3, 9
Let 5/2*c**3 + 36 - 2*c + 9*c**4 - 1/2*c**5 - 45*c**2 = 0. What is c?
-2, -1, 1, 2, 18
Let l(r) be the first derivative of 0*r**2 - 1/600*r**6 + 27 + 1/30*r**4 - 1/150*r**5 + 4/3*r**3 + 0*r. Let z(p) be the third derivative of l(p). Factor z(c).
-(c + 2)*(3*c - 2)/5
Let a be 17/(170/15) + (-12)/8. Let v(o) be the second derivative of 5/12*o**4 - 2*o + a*o**2 + 0 + 5/3*o**3. Determine h so that v(h) = 0.
-2, 0
Let j(p) be the third derivative of 1/24*p**6 + 0*p**5 - 1/21*p**7 + 181*p**2 + 0*p**3 + 0*p**4 + 2 + 5/336*p**8 + 0*p. Determine h, given that j(h) = 0.
0, 1
Factor 192*s**2 - 576/11*s + 0 + 722/11*s**4 - 2356/11*s**3.
2*s*(s - 2)*(19*s - 12)**2/11
Let j(x) be the first derivative of 16/3*x**2 + 4/27*x**3 + 0*x - 67. Factor j(u).
4*u*(u + 24)/9
Factor 83/4*w - 133 - 1/4*w**2.
-(w - 76)*(w - 7)/4
Let q = -4319 - -4336. Let v(y) be the first derivative of 3/2*y**2 - 9*y + 3*y**3 - 3/4*y**4 - q. Find k such that v(k) = 0.
-1, 1, 3
Let y be (-1)/(5/(-400)*1). Suppose -3*c = c - 24. What is w in y*w**3 + 7*w**2 - 2*w - 4 - 78*w**3 + 3*w**2 - c*w**4 = 0?
-1, -2/3, 1
Let u be (131/(-2358))/((-3)/27). Let a(i) be the second derivative of u*i**2 - 1/24*i**4 + 0 + 1/12*i**3 - 2*i. Factor a(g).
-(g - 2)*(g + 1)/2
Let g(t) be the second derivative of -2*t**7/21 + 14*t**6/15 - 417*t. Factor g(v).
-4*v**4*(v - 7)
Let 156 - 68/3*s**2 + 398/3*s + 2/3*s**3 = 0. What is s?
-1, 9, 26
Let w(m) be the third derivative of -m**5/20 - 201*m**4/8 - 100*m**3 + 4*m**2 - 168. Solve w(i) = 0.
-200, -1
Let k = 29 + -26. Let n(b) = -b**3 - b**2 + b + 1. Let r(s) = -5*s**3 + 8*s**2 - 44*s + 68. Let d(g) = k*r(g) - 12*n(g). Find m, given that d(m) = 0.
4
Let g(f) = f**3 + 7*f**2 + 24*f + 170. Let o be g(-7). Let z(v) be the first derivative of -6*v**3 + 14 - 8/9*v + 4*v**o. Determine l, given that z(l) = 0.
2/9
Suppose -6*p + 8*p - 8 = 0. Let b(r) = -19*r - 1. Let n be b(-3). Suppose -32 - 85*w**4 - 4*w**2 - 71*w**4 + 32*w**3 - n*w + 168*w**p = 0. What is w?
-2, -1, 4/3
Let f be -16 + ((-42)/(-63))/(15*(-9)/(-3321)). Solve f*j**2 - 88/5*j + 968/5 = 0 for j.
22
Let y(v) be the third derivative of -v**8/33600 + v**6/1200 - 23*v**5/30 + 83*v**2. Let c(p) be the third derivative of y(p). Factor c(o).
-3*(o - 1)*(o + 1)/5
Determine l so that -42 + 6*l**3 - 39 - 155*l + 21*l**4 + 6 - 3*l**5 - 69*l - 138*l**2 + 29*l = 0.
-1, 5
Let k(v) be the second derivative of -v**5/70 - 55*v**4/14 + 8*v**3 + 332*v**2/7 + 5161*v. Factor k(c).
-2*(c - 2)*(c + 1)*(c + 166)/7
Suppose 0 - 21/2*h - 1/4*h**2 = 0. Calculate h.
-42, 0
Suppose -q = 2*d - 4740, -5*d + 4*q = -6640 - 5197. Let i = d + -2365. Factor 32/3 + 16/3*l**3 + 64/3*l + 2/3*l**i + 16*l**2.
2*(l + 2)**4/3
Let h = -10 + 14. Let l be 1*(5 - 3)*7. Factor 2 - h*y**2 - 2 + l*y + 6*y.
-4*y*(y - 5)
Let n be (5/15)/((-1)/15). Let v be 4 + -2 + (-32)/(n - -1). Let 9*t**2 - 4*t**2 - 45*t + 15*t**2 + 0*t**2 + v = 0. What is t?
1/4, 2
Let x be (60/9)/((-8)/3012). Let o = 4294 + x. Suppose 3*z**3 - 2*z**2 - 1784 + o - z**4 = 0. What is z?
0, 1, 2
Let g(k) be the third derivative of 5/12*k**4 + 0*k + 1/42*k**7 - 1/12*k**6 - 5/6*k**3 + 0 + 0*k**5 - 2*k**2. Factor g(b).
5*(b - 1)**3*(b + 1)
Let v(g) be the third derivative of 0*g**3 + 11/40*g**6 + 0*g + 13/70*g**7 - 1/10*g**5 - 78*g**2 + 0*g**4 - 2. Factor v(j).
3*j**2*(j + 1)*(13*j - 2)
Let g(r) be the second derivative of -11/16*r**3 - 1/80*r**6 + 9/32*r**4 + 26*r - 2 + 3/4*r**2 - 3/160*r**5. Solve g(m) = 0 for m.
-4, 1
Suppose 3*c - s - 3 = 6, -2 = 5*c + 4*s. Let r = -1 + 6. Factor r*a**c + 44 - 27 - 30*a + 28.
5*(a - 3)**2
Let p(o) be the first derivative of 3*o**5/2 + 483*o**4/4 + 374*o**3 + 186*o**2 + 5699. Let p(s) = 0. What is s?
-62, -2, -2/5, 0
Let w(k) be the second derivative of 3*k**5/20 + 4*k**4 + 10*k**3 - 600*k**2 + 4291*k. Factor w(p).
3*(p - 4)*(p + 10)**2
Let n(s) be the second derivative of s**5/540 + 55*s**4/108 + 3025*s**3/54 - 123*s**2 - 2*s + 31. Let r(k) be the first derivative of n(k). Factor r(u).
(u + 55)**2/9
Let w be ((-56)/49)/((-1)/3*(-183)/(-122)). Factor 200/7*z - 125/7 - 90/7*z**2 - 1/7*z**4 + w*z**3.
-(z - 5)**3*(z - 1)/7
Suppose 18*w = -f + 16*w + 15, 6 = -4*f + 3*w. Let y(j) be the first derivative of 0*j - 7 + 1/10*j**5 + 0*j**2 - 1/4*j**4 + 1/6*j**f. Factor y(i).
i**2*(i - 1)**2/2
Let q(v) be the first derivative of -v**3/3 - 139*v**2/2 - 138*v + 1595. Factor q(z).
-(z + 1)*(z + 138)
Let h(t) = t**3 - 16*t**2 - 181*t - 172. Let z(i) = -2*i + 2. Let v(a) = -h(a) - 2*z(a). Factor v(m).
-(m - 24)*(m + 1)*(m + 7)
Let r(q) be the second derivative of -q**7/252 + 37*q**6/180 - 9*q**5/40 - 313*q**4/72 - 98*q**3/9 - 12*q**2 + 24*q + 72. Factor r(o).
-(o - 36)*(o - 4)*(o + 1)**3/6
Solve -230*k**3 + 344 + 72*k**2 + 514*k**2 - 99 + 134*k**2 - 22*k**4 + 17*k**4 - 730*k = 0.
-49, 1
Let p(h) be the third derivative of -h**7/42 + 17*h**6/24 - 5*h**5/4 - 435*h**4/8 + 450*h**3 + 159*h**2 - 2. Let p(b) = 0. What is b?
-4, 3, 15
Let a(y) be the second derivative of -10/3*y**3 + 5/12*y**4 + 15/2*y**2 + 4*y - 3. Solve a(b) = 0.
1, 3
Let 0 - 2/5*m**5 - 38/5*m**3 + 8*m + 24/5*m**2 - 24/5*m**4 = 0. What is m?
-10, -2, -1, 0, 1
Suppose -46 = 4*n + 5*v, 9*n - 4*v = 7*n - 10. Let u(a) = a**3 + 9*a**2 - a - 7. Let j be u(n). Let -4/3*d - 4/3*d**j + 0 = 0. What is d?
-1, 0
Let l = 3573 - 60679/17. Let v = 424/51 - l. Factor 46/3*d - v*d**2 - 4.
-2*(d - 3)*(7*d - 2)/3
Let a(t) be the second derivative of t**5/20 + 139*t**4/12 + 275*t**3/6 + 137*t**2/2 - 4242*t. Factor a(j).
(j + 1)**2*(j + 137)
Find g, given that -22*g**3 - 36*g**3 + 48 + 170*g + 831627*g**4 - 831621*g**4 + 58*g**2 = 0.
-1, -1/3, 3, 8
Let z(i) be the first derivative of -2*i**5/5 - 6*i**4 - 40*i**3/3 + 2559. Factor z(g).
-2*g**2*(g + 2)*(g + 10)
Let v(i) be the third derivative of i**7/140 - 9*i**6/80 - i**5/40 + 9*i**4/16 + 1046*i**2. Factor v(o).
3*o*(o - 9)*(o - 1)*(o + 1)/2
Let t = -13335 - -13335. Let a(f) be the second derivative of 121/16*f**2 + 1/96*f**4 - 11/24*f**3 + 22*f + t. Determine x so that a(x) = 0.
11
Let b(v) = -3*v**3 - 80*v**2 + 5*v + 348. Let j(g) = g**3 + 27*g**2 - 2*g - 116. Let y(q) = -6*b(q) - 21*j(q). Factor y(r).
-3*(r - 2)*(r + 2)*(r + 29)
Factor 683*f - 297992 - 704*f - 2*f**2 + 804*f - 2327*f.
-2*(f + 386)**2
Let z be -6*(-3)/(-60)*5/(-199). Let j = 371/3582 + z. Factor 1/3 + j*w**2 - 5/9*w + 1/9*w**3.
(w - 1)**2*(w + 3)/9
Let r(p) be the first derivative of p**7/630 - p**5/45 - 15*p**2 - 118. Let z(s) be the second derivative of r(s). Find j, given that z(j) = 0.
-2, 0, 2
Let -216*v**2 - 142*v**3 + 6*v**5 + 34*v**3 + 7251*v**4 - 2*v**5 - 7251*v**4 = 0. Calculate v.
-3, 0, 6
Suppose -4*j + 3*h - 315 = 0, 3*j + h - 5*h = -245. Let y = j + 227/3. Factor -4/3 + 2/3*m + y*m**2.
2*(m - 1)*(m + 2)/3
Let t(a) be the second derivative of a**4/20 - 974*a**3/5 + 1423014*a**2/5 + 477*a - 3. Determine y so that t(y) = 0.
974
Let k(t) = -t**3 + 8*t**2 - 5*t + 40. Suppose -3*b + 6*b = p + 19, -65 = -5*b - 5*p. Let v be k(b). Find y such that 6/11*y**2 - 18/11*y + v = 0.
0, 3
Let q(f) be the third derivative of -f**7/210 + 23*f**6/60 + 49*f**5/20 + f**4/6 - 98*f**3/3 + 7*f**2 - 3*f + 64. Factor q(b).
-(b - 49)*(b - 1)*(b + 2)**2
Let b(q) = 13*q**3 - 3*q**2 + 2*q - 1. Let u be b(1). Factor -10*x**3 + 0*x**2 + u*x - 3 - x**5 - 5*x**2 + 7*x**2 + 8 - 7*x**4.
-(x - 1)*(x + 1)**3*(x + 5)
Factor 171137*q**2 - 12*q**4 - 313956*q + 3876*q**3 - 256899*q**2 - 225281*q**2 - 78732.
-3*(q - 162)**2*(2*q + 1)**2
Let x(a) be the second derivative of a**4/16 - 23*a**3/8 - 117*a**2/4 - a + 681. Suppose x(i) = 0. What is i?
-3, 26
Let s(g) = g**2 - 27*g + 4.