culate d.
-3, 1
Let u be (-9)/(-12)*(1 + (-5)/25). What is q in 0 - 3/5*q**2 + u*q = 0?
0, 1
Let d(x) be the third derivative of -x**8/1680 - x**7/1050 + x**6/600 + x**5/300 + 61*x**2. Factor d(u).
-u**2*(u - 1)*(u + 1)**2/5
Let l(a) be the second derivative of -a**6/15 + 7*a**5 - 1225*a**4/6 - 472*a. Solve l(m) = 0 for m.
0, 35
Suppose 4*h = 21 + 19. Factor 10*y**4 + 4*y**4 - h*y**3 - 5*y**5 + y**4.
-5*y**3*(y - 2)*(y - 1)
Let w = 78 - 79. Let s be w + 0 + 25/(-60)*-4. Factor 0 - 1/3*c**3 - 1/3*c - s*c**2.
-c*(c + 1)**2/3
Let j(a) be the first derivative of -a**6/3060 + a**5/170 - 3*a**4/68 - a**3/3 - 4*a - 24. Let n(z) be the third derivative of j(z). Let n(k) = 0. What is k?
3
Suppose 103 = 41*r - 102. Let y(b) be the third derivative of 1/204*b**4 + 0*b**3 + 0 + 6*b**2 - 1/255*b**r + 0*b + 1/1020*b**6. Determine p so that y(p) = 0.
0, 1
Let p = -15 + 16. Suppose 2*y**5 - 4*y - y + 6*y**4 - p - 4*y**2 - 1 + 4*y**3 - y = 0. Calculate y.
-1, 1
Let t(b) be the first derivative of -5*b**3/3 - 65*b**2/2 + 102. Factor t(v).
-5*v*(v + 13)
Let c(i) be the first derivative of 2/3*i**3 + 8/9*i + 13 - 4/3*i**2. Solve c(h) = 0.
2/3
Factor 12*t**2 + 0*t + 0 - 6*t**3 + 2/3*t**4.
2*t**2*(t - 6)*(t - 3)/3
Let f(m) = -3*m - 1. Let o be f(-1). Let t(v) be the third derivative of -4*v**o + 0*v + 0 + 0*v**3 - 7/300*v**6 - 1/30*v**4 + 3/50*v**5. Factor t(r).
-2*r*(r - 1)*(7*r - 2)/5
Suppose -2186 + 4*y**3 - 2090*y + 36*y**3 + 371 + 50*y**3 - 180*y**2 + 12*y**4 - 17*y**4 = 0. Calculate y.
-3, -1, 11
Let a(u) be the third derivative of -u**8/896 + 3*u**6/320 + u**5/80 - 67*u**2 + 1. What is p in a(p) = 0?
-1, 0, 2
Let h(a) be the third derivative of -a**6/270 + 41*a**5/270 - 19*a**4/108 - 20*a**3/27 - 436*a**2. Let h(v) = 0. What is v?
-1/2, 1, 20
Let o be (3 + 22/(-10))*5. Solve 2*p**2 + 6*p**3 + p**4 - 3*p**o - 4*p**3 - 2*p**5 = 0 for p.
-1, 0, 1
Let c(d) = 5*d**2 + 14*d - 58. Let o(x) = -2*x**2 + 3. Let a(w) = c(w) + 3*o(w). Factor a(f).
-(f - 7)**2
Let m(r) be the second derivative of 0 - 1/78*r**4 + 0*r**2 - 7*r - 4/39*r**3. Factor m(d).
-2*d*(d + 4)/13
Let i(d) be the second derivative of d**5/70 + 19*d**4/84 - 19*d**3/14 + 18*d**2/7 + 8*d - 9. Solve i(b) = 0.
-12, 1, 3/2
Let a(p) be the third derivative of -19*p**2 + 0*p + 0 - 1/630*p**7 + 1/120*p**6 - 11/72*p**4 + 1/3*p**3 + 1/60*p**5. Factor a(f).
-(f - 3)*(f - 1)**2*(f + 2)/3
Let c(k) be the second derivative of 0 - 23*k - 2/9*k**3 + 1/9*k**4 + 0*k**2. Solve c(i) = 0 for i.
0, 1
Suppose -44/5*p**4 + 32/5*p**2 + 0*p + 8/5*p**5 + 0 + 8*p**3 = 0. Calculate p.
-1/2, 0, 2, 4
Let j = -2696 + 2264639/840. Let b = j - -8963/2520. Factor 16/3*i**2 + b - 16/9*i**3 - 64/9*i + 2/9*i**4.
2*(i - 2)**4/9
Let p(u) = 2*u**2 - 59*u - 306. Let y be p(34). Suppose -1/3 + 1/3*q**2 + y*q = 0. What is q?
-1, 1
Let f(g) = 23*g**4 + 43*g**3 + 7*g**2 - 13*g. Let o(x) = -x + 3*x**2 - 3*x - 4*x + 21*x**3 + 11*x**4 + x. Let k(v) = 6*f(v) - 10*o(v). Let k(c) = 0. What is c?
-1, 0, 2/7
Let h be (-3)/((-3)/37) - 1. Let o(v) = v**2 + v. Let f(y) = -20*y**2 - 22*y - 2. Let q(r) = h*o(r) + 2*f(r). Suppose q(s) = 0. What is s?
-1
Let t(m) be the second derivative of m**4/3 - 31*m**3/2 + 23*m**2/2 - 411*m. Find p such that t(p) = 0.
1/4, 23
Factor 1/6*q**2 + 5/2 - 8/3*q.
(q - 15)*(q - 1)/6
Suppose -3*a + 5*f - 3 = 0, -4*a + f + f = -10. Factor 1034*i**2 + 320 + 185*i**3 + 1200*i + 7*i**4 + 8*i**a - 254*i**2.
5*(i + 4)**3*(3*i + 1)
What is a in -10/3 + 10/3*a**2 + 1/3*a**3 - 1/3*a = 0?
-10, -1, 1
Let k(h) be the first derivative of -289*h**3/18 - 17*h**2/3 - 2*h/3 + 64. Determine z so that k(z) = 0.
-2/17
Let b(t) be the first derivative of t**4 - 316*t**3/3 + 3198*t**2 - 6084*t - 18. Factor b(z).
4*(z - 39)**2*(z - 1)
Let l(n) be the first derivative of -n**2 - 1/12*n**3 - 10 + 0*n. Factor l(t).
-t*(t + 8)/4
Suppose 2*o - 4*s = 3*o - 8, 4*o = 3*s - 6. Suppose 0 = 2*p - 2*c - 7 + 1, 3 = p - 2*c. Solve -p*v + o - 9/2*v**2 - 3/2*v**3 = 0 for v.
-2, -1, 0
What is m in -512/3 + 2/9*m**3 + 58/9*m**2 + 320/9*m = 0?
-16, 3
Let w(j) be the first derivative of -53/12*j**4 - 32*j**2 + 205/9*j**3 + 4/15*j**5 + 12*j - 8. Determine h, given that w(h) = 0.
1/4, 1, 6
Suppose 0 = 2*v - 4*x - 16, -2*v + 2*x + 7 = -3. Let f be v/(-6)*7 + 3. Factor p + p**4 - 1/3*p**5 - f*p**2 - 1/3 - 2/3*p**3.
-(p - 1)**4*(p + 1)/3
Let g be ((-12)/24)/((-6)/24). Find d, given that -1/2 + 1/4*d**3 + 5/4*d - d**g = 0.
1, 2
Factor -41/3*k + 16/3*k**2 + 26/3 - 1/3*k**3.
-(k - 13)*(k - 2)*(k - 1)/3
Let p = -134 + 132. Let u be p - 59/(-19) - (-8 - -9). Suppose 2/19*x**4 - 2/19*x**3 + 0 + u*x - 2/19*x**2 = 0. What is x?
-1, 0, 1
Let j(z) = 28*z - 24. Let d(s) = -s**2 - 29*s + 30. Let m(f) = 4*d(f) + 5*j(f). Let m(b) = 0. What is b?
0, 6
Suppose 3*s + 30 - 42 = 0. Suppose -s*y + 2*y = -48. Let 3*g - g**2 - y + 44 - 22 = 0. Calculate g.
1, 2
Suppose 4 = -d + 14. Suppose 0 = -2*x - 2*y + d, 2*x - 6*x + 5*y + 20 = 0. Factor -s**3 + s**5 + 0*s**x + s**3 + s**4.
s**4*(s + 1)
Let h = -229 - -123. Let o = h + 109. Let o + 21*w + 147/4*w**2 = 0. Calculate w.
-2/7
Let u(c) be the first derivative of -c**3/3 - c**2/2 - c - 9. Let g(n) = 72*n**3 - 28*n**2 - 2*n - 4. Let w(i) = g(i) - 4*u(i). Factor w(x).
2*x*(6*x - 1)**2
Let z(v) = -24*v**4 + 336*v**3 - 591*v**2 + 140*v. Let y(i) = -5*i**4 + 67*i**3 - 118*i**2 + 28*i. Let u(l) = 11*y(l) - 2*z(l). Find d such that u(d) = 0.
0, 2/7, 2, 7
Suppose -80*o**2 + 0 - 2/11*o**4 + 88*o - 86/11*o**3 = 0. Calculate o.
-22, 0, 1
Let h = -2/17097 - -4485115/17097. Let l = h + -259. Suppose l*c + 2/3*c**3 - 4/3 - 8/3*c**2 = 0. What is c?
1, 2
Let g be 4/(-14) - (-504)/1176. Factor -3/7*m - g*m**2 - 2/7.
-(m + 1)*(m + 2)/7
Let z be (4 - (-96)/(-30))*(-10)/4. Let s be (-24)/(-84) + z + 86/42. Factor -1/3 - s*q**4 - 4/3*q - 4/3*q**3 - 2*q**2.
-(q + 1)**4/3
Let b(c) be the first derivative of c**3/12 - 7*c**2/4 - 15*c/4 - 96. Factor b(w).
(w - 15)*(w + 1)/4
Let a be ((-5)/15)/(26/264 + (-14)/77). Let j = -47/5 - -10. Factor 4/5*v**3 - 1/5*v**2 + 0 - j*v**a + 0*v.
-v**2*(v - 1)*(3*v - 1)/5
Suppose 126*m - 12 = 122*m - 4*s, -4*m + 6 = 2*s. Factor m - 45/4*j**4 + 0*j + 3*j**2 + 3*j**5 + 9*j**3.
3*j**2*(j - 2)**2*(4*j + 1)/4
Let j(f) be the first derivative of -f**5/15 - 13*f**4/12 - 47*f**3/12 + 91*f**2/12 - 49*f/12 - 57. Solve j(n) = 0 for n.
-7, 1/2
Let p be (-7)/((-14)/33) - (-4)/8. Suppose -p*o = -20*o + 12. Factor -14/5*q**2 + 12/5*q**o + 2/5 + 7/5*q**5 - 3/5*q - 4/5*q**3.
(q - 1)*(q + 1)**3*(7*q - 2)/5
Let p(b) be the first derivative of b**6/1440 - b**4/96 - 5*b**3/3 - 1. Let d(m) be the third derivative of p(m). Factor d(w).
(w - 1)*(w + 1)/4
Suppose -31*l = -26*l. Let b(v) be the third derivative of 1/2*v**3 - 1/40*v**6 - 1/20*v**5 + 3*v**2 + 1/8*v**4 + l + 0*v. Factor b(o).
-3*(o - 1)*(o + 1)**2
Let b(x) = x**3 - x**2 + x. Suppose 0 = 6*d - 9*d + 3. Let f(j) = -4*j**3 - 12*j + 8. Let t(m) = d*f(m) + 8*b(m). Factor t(w).
4*(w - 2)*(w - 1)*(w + 1)
Let x(l) be the first derivative of l**6/900 - l**5/30 + 5*l**4/12 + 4*l**3 - 20. Let i(c) be the third derivative of x(c). Factor i(j).
2*(j - 5)**2/5
Factor -1/9*r**2 + 14/3 - 41/9*r.
-(r - 1)*(r + 42)/9
Suppose 2*y + 476*o + 5 = 475*o, 5*o + 25 = -3*y. Factor 3/2*h + 36*h**3 - 33/2*h**2 + 54*h**4 + y.
3*h*(h + 1)*(6*h - 1)**2/2
Find y, given that 0*y**2 - 1/3*y**3 + 0 + 4/3*y = 0.
-2, 0, 2
Let f(v) = -2*v**2 + 14*v - 4. Let b be f(4). Find s such that 109 + 50*s + 3*s**2 + b + 2*s**2 - 4 = 0.
-5
Suppose -s = 5*a - 18, 3*a - 93 + 3 = -5*s. Let b = s + -8. Solve 4*t**2 + 3*t**5 - 11*t**4 - b*t**2 + 1 + 14*t**3 + 4*t - 5*t = 0.
-1/3, 1
Let i(g) = -g**2. Let r be i(-1). Let s = r + 2. Let -f**2 + f - 1 - s + 2*f = 0. What is f?
1, 2
Let x(y) = y**2 + 3*y - 3. Let i be x(-4). Let s be i/(-2 - (5/(-15) - 2)). Factor 0*p**s + 3/7*p**4 + 0 - 4/7*p**2 + 0*p - 1/7*p**5.
-p**2*(p - 2)**2*(p + 1)/7
Suppose 4*d + 22 = -4*z + 2, 2*d = -z - 3. Solve 32/7*k**d + 0 + 8/7*k - 18/7*k**3 = 0 for k.
-2/9, 0, 2
Suppose 0 = -3*x - 2*l + 12 + 4, 0 = -5*x - 3*l + 25. What is a in -138*a + 0*a**3 + 20*a**3 - 10*a**x + 37*a**3 + 71*a**3 - 36 + 56*a**4 = 0?
-3/2, -2/7, 1
Let f = -19722 - -98612/5. Find d such that 0 - 7/5*d**4 - f*d**3 + 0*d + 0*d**2 = 0.
-2/7, 0
Let j(x) be the second derivative of -x**4/3 + 42*x**3 + 128*x**2 - 543