d g, given that -17 + 13 - g**2 - h*g**2 - 36 + 45*g = 0.
1, 8
Let z(n) be the first derivative of n**3/3 + 7*n**2/2 - 598. Let z(a) = 0. What is a?
-7, 0
Let s(b) = 5*b**2 + 14*b + 17. Let a(t) = -6*t**2 - 15*t - 19. Let j(x) = 4*a(x) + 5*s(x). Let r be j(-9). Factor r + 0*c + 4/5*c**4 + c**3 + 1/5*c**2.
c**2*(c + 1)*(4*c + 1)/5
Suppose 5*x - 15 = 2*m + 13, 2 = 2*m. Let b(j) = -j**2 + 9*j - 15. Let c be b(x). Factor -12*d**2 - 28 + 28 + 4*d**c + 8*d.
4*d*(d - 2)*(d - 1)
Suppose 3/2*w + 7/8*w**3 + 0 - 5/2*w**2 = 0. What is w?
0, 6/7, 2
Suppose 0 = 4*t + 3*p - 24, 13*p = t + 9*p + 13. Suppose 2*d + 0 = -t*u - 9, -4*u - 12 = d. Factor 1/4*w**5 + d*w - 1/4*w**3 + 0*w**4 + 0*w**2 + 0.
w**3*(w - 1)*(w + 1)/4
Let y(h) be the third derivative of h**6/1260 + h**5/420 + 7*h**3/3 + 8*h**2. Let w(c) be the first derivative of y(c). What is p in w(p) = 0?
-1, 0
Suppose 0 = -p - 1 + 5. Solve -p*u**2 - 12*u**3 + 6*u - 9*u + 4*u**4 + 15*u = 0.
-1, 0, 1, 3
Suppose 1/2*x**2 - 3/2*x - 5 = 0. What is x?
-2, 5
Let x(q) be the second derivative of -5*q**4/12 - 85*q**3/6 - 150*q**2 + 639*q. Let x(z) = 0. Calculate z.
-12, -5
Factor -15*r**3 - 15*r**3 - 376*r**2 + 41*r**3 - 5899*r - 2937*r - 15*r**3.
-4*r*(r + 47)**2
Let n(f) = -9*f**2 - 5*f**2 + 13*f**2 + 0*f + 6*f. Let t(w) = -w**2 + 5*w. Let p(v) = 5*n(v) - 6*t(v). Factor p(c).
c**2
Let i be (7 + -10)/(-2 + 1). Let l(n) = n**2 + 3*n - 4. Let f be l(-5). Factor t**2 + 18 + f*t - 22 - i*t**2.
-2*(t - 2)*(t - 1)
Let n(h) be the first derivative of h**6/3 - 124*h**5/15 + 137*h**4/3 + 112*h**3 - 77*h**2/3 - 484*h/3 + 6. Find t such that n(t) = 0.
-1, 2/3, 11
Let p(r) = 356*r + 15840. Let u(a) = a**2 - 356*a - 15839. Let d(q) = -3*p(q) - 2*u(q). Find o, given that d(o) = 0.
-89
Let y(k) be the first derivative of 0*k - 1/9*k**3 - 1/12*k**4 - 7 + 1/15*k**5 + 1/18*k**6 + 0*k**2. Find w such that y(w) = 0.
-1, 0, 1
Let f(h) be the first derivative of -h**6/6 - 3*h**5/5 + 5*h**4/4 + 9*h**3 + 16*h**2 + 12*h + 143. Factor f(d).
-(d - 3)*(d + 1)**2*(d + 2)**2
Let d(s) be the second derivative of 0*s**2 + 23*s + 0*s**3 + 3/70*s**5 - 1/21*s**4 + 2/105*s**6 + 0 - 1/49*s**7. Suppose d(b) = 0. Calculate b.
-1, 0, 2/3, 1
Let u(y) = -4*y**3 + 3*y**2 + y - 3. Let b(p) = -23*p**3 + 17*p**2 + 6*p - 17. Let d(c) = -6*b(c) + 34*u(c). Determine w, given that d(w) = 0.
-1, 0, 1
Let q(n) = -9*n**3 - 2*n**2 + 4*n + 1. Let k be q(-2). Let p = k + -737/13. Suppose 2/13*j**2 + p*j + 0 = 0. What is j?
-2, 0
Suppose 0 = -3*j + 7*m - 36, -15 + 43 = -j + 5*m. What is i in -8/7*i + 4/7*i**j - 12/7 = 0?
-1, 3
Determine o so that -304*o**2 - 40*o**3 + 137*o - 38*o**3 + 82*o**3 + 163*o = 0.
0, 1, 75
Let t be -3 - 1072/(-36) - (-4)/18. Let a be (-2 + 96/t)*3. Let -16/3*m**2 - 3*m - 2/3 - a*m**3 - 1/3*m**5 - 2*m**4 = 0. Calculate m.
-2, -1
Let s(i) be the second derivative of -i**6/20 + 27*i**5/40 - 15*i**4/8 + 7*i**3/4 - 3*i - 116. Suppose s(x) = 0. What is x?
0, 1, 7
Let u(x) be the third derivative of x**7/42 + 19*x**6/24 - x**5/4 - 295*x**4/24 - 95*x**3/3 + 473*x**2. Let u(t) = 0. Calculate t.
-19, -1, 2
Let k(g) be the second derivative of 0*g**5 + 1/8*g**4 + 2*g**2 + 0*g**3 - g + 0 - 1/40*g**6. Let n(s) be the first derivative of k(s). Factor n(a).
-3*a*(a - 1)*(a + 1)
Let i(b) = b + 10. Let d be i(-8). Factor -y**2 + 3*y**4 - d*y + 10*y**2 - 9*y**3 - y.
3*y*(y - 1)**3
Let t be (1020/(-476) + (-1)/(-7))*-48. Solve -t + 16*s - 2/3*s**2 = 0.
12
Let k(a) be the first derivative of -3*a**4/20 + 6*a**3/5 - 27*a**2/10 + 12*a/5 - 14. Determine q, given that k(q) = 0.
1, 4
Let -72*r**2 + 29*r**2 - 2 + 36*r**2 + 9*r = 0. What is r?
2/7, 1
Suppose -o = t - 13, -o = -3*o - 4*t + 26. Let f be (o - 13)/(1*-1). Factor f - 1/6*y**3 - 1/3*y - 1/2*y**2.
-y*(y + 1)*(y + 2)/6
Let g be (-93)/217 + (-34)/(-14). Let r(k) be the third derivative of 1/120*k**6 + 0*k**3 + 0*k - 1/12*k**4 - 1/60*k**5 + 5*k**g + 0. Factor r(v).
v*(v - 2)*(v + 1)
Let b = -115 + 117. Let z be (-3*96/(-54))/b. Factor -2 - 2/3*w**2 + z*w.
-2*(w - 3)*(w - 1)/3
Let d(i) = -4*i**2 - 130*i - 344. Let k(g) = -g - 8. Let r(q) = -d(q) - 2*k(q). Factor r(m).
4*(m + 3)*(m + 30)
Let x(d) = -17*d**2 - 72*d - 1448. Let r(o) = 47*o**2 + 217*o + 4343. Let b(l) = -4*r(l) - 11*x(l). Factor b(j).
-(j + 38)**2
Let y = 2/10297 - -10291/30891. Determine n, given that 0*n**3 + 1/3*n**5 - y*n - 2/3*n**4 + 0 + 2/3*n**2 = 0.
-1, 0, 1
Factor 0 - 5*m**3 - 16*m - 1/2*m**4 - 16*m**2.
-m*(m + 2)*(m + 4)**2/2
What is u in -200/3 - 2/3*u**4 - 4*u**3 + 40*u + 22/3*u**2 = 0?
-5, 2
Suppose 0 = 637*l - 633*l - 16. Find p, given that 2/7*p**l + 0 + 6/7*p**2 + 2/7*p + 6/7*p**3 = 0.
-1, 0
Determine r, given that 0*r**4 + 0*r + 21/5*r**3 - 3/5*r**5 + 18/5*r**2 + 0 = 0.
-2, -1, 0, 3
Let y(q) = q - 1. Let m(o) = o**2 + 5*o - 4. Let l(x) = m(x) - 4*y(x). Let p be l(1). Suppose 2*a + 3*a**2 - 5*a**p - 6 + 6*a = 0. What is a?
1, 3
Suppose -84 = -5*k + 2*k. Factor -42*d**2 + 13*d**4 + k*d**3 + 7*d**4 + 50*d**2.
4*d**2*(d + 1)*(5*d + 2)
Suppose 28 = 3*a - k + 18, 0 = -4*a - 4*k + 8. Let u(t) be the first derivative of 1/3*t**6 + 4 + 4/3*t**a - 4/5*t**5 + 0*t**4 + 0*t - t**2. Solve u(p) = 0.
-1, 0, 1
Let y(x) be the first derivative of -5*x**6/6 - 3*x**5 + 75*x**4/4 - 85*x**3/3 + 15*x**2 - 250. Solve y(v) = 0.
-6, 0, 1
Let l(y) be the first derivative of y**3 - 3/4*y**4 + 9 + 0*y + 0*y**2. Factor l(p).
-3*p**2*(p - 1)
Determine i so that -4*i**4 - 16/5*i**5 + 8/5*i**2 + 0 - 2/5*i + 6/5*i**3 = 0.
-1, 0, 1/4, 1/2
Let u(x) be the third derivative of 0 - 1/30*x**5 + 0*x + 23*x**2 + 1/3*x**4 + 4*x**3. Factor u(c).
-2*(c - 6)*(c + 2)
Let p(r) = -9*r**3 + 114*r**2 - 543*r + 66. Let m(l) = l**3 - 14*l**2 + 68*l - 8. Let u(q) = 33*m(q) + 4*p(q). What is c in u(c) = 0?
-6, 0, 4
Let v(m) be the first derivative of m**3 - 3*m - 83. Factor v(x).
3*(x - 1)*(x + 1)
Let f(t) be the first derivative of 9*t**5/20 - 7*t**4/12 - t**3/3 + 8*t - 3. Let u(p) be the first derivative of f(p). Determine j, given that u(j) = 0.
-2/9, 0, 1
Find r, given that 27*r**4 - 12*r**4 - 17*r - 13*r - 80*r**3 - 46*r**2 + 92*r**2 + 69*r**2 = 0.
0, 1/3, 2, 3
Factor 4/5*j**5 + 64/5*j + 24/5*j**4 + 0 - 96/5*j**2 + 4/5*j**3.
4*j*(j - 1)**2*(j + 4)**2/5
Let j be 6 + -5 + (-8)/2. Let x be (-1)/j + 82/6. Find m such that -21 + 16*m**3 + 2*m - 32*m**4 + 21 + x*m**2 = 0.
-1/4, 0, 1
Let d(m) be the first derivative of 14*m**5/5 - 6*m**4 - 8*m**3/3 + 153. Determine v so that d(v) = 0.
-2/7, 0, 2
Let x(n) be the third derivative of n**7/210 - n**6/80 - n**5/15 + n**4/4 + n**2 + 11. Factor x(f).
f*(f - 2)*(f + 2)*(2*f - 3)/2
Determine a so that -a - 60 + 13*a + 60*a**2 + 8*a - 17*a - 3*a**3 = 0.
-1, 1, 20
Let q be -24*(-8)/2688*6*2. Let -2/7*b**2 - q - 10/7*b + 2/7*b**3 = 0. What is b?
-1, 3
Let p(t) = t**2 + 4*t - 35. Let y be p(-16). Factor 25*n**5 + 10 + 190*n**3 + 65*n + 110*n**4 - 68*n**2 + y*n**2 + 71*n**2.
5*(n + 1)**4*(5*n + 2)
Let f(i) be the second derivative of -i**8/23520 + i**6/630 - 7*i**4/12 - 15*i. Let h(k) be the third derivative of f(k). Determine o, given that h(o) = 0.
-2, 0, 2
Let i(v) = 15*v**3 + 9*v**2 - 19*v + 26. Let b(u) = 7*u**3 + 4*u**2 - 9*u + 12. Let l(s) = 13*b(s) - 6*i(s). Factor l(j).
j*(j - 3)*(j + 1)
Let j = 14 - 12. What is d in 6*d**3 + 8*d**2 + 8*d**j - 4*d - 18*d**2 = 0?
-2/3, 0, 1
Let b(g) = g**3 + 6*g**2 - 6*g + 9. Let r = -6 + -1. Let x be b(r). Solve -9/2 - 7/2*d**x - 15/2*d - 1/2*d**3 = 0.
-3, -1
Let r = 13/188 - -32/47. Factor r*v - 1 + 1/4*v**2.
(v - 1)*(v + 4)/4
Let w(f) = -5*f - 52. Let c be w(-13). Suppose c*z - 1 + 1 = 0. Suppose z*b**2 - 6/7 + 9/7*b - 3/7*b**3 = 0. Calculate b.
-2, 1
Let j be (4 - (7 - 9))*338/4. Find s such that 14*s + j*s**2 + 142*s + 29 - 17 = 0.
-2/13
Let p(z) = -19*z**4 + 4*z**3 + 5. Let d(h) = 28*h**4 - 6*h**3 - 7. Let j(c) = 5*d(c) + 7*p(c). Find y such that j(y) = 0.
0, 2/7
Let v be (62/(-22))/(-1) - (-74)/407. Let t(y) be the second derivative of 0*y**2 - 8*y + 0 + 1/18*y**4 + 2/9*y**v. Let t(s) = 0. What is s?
-2, 0
Let n(f) = 3*f**3 + 34*f**2 + 35*f + 4. Let a(k) = 24*k**3 + 273*k**2 + 282*k + 33. Let l(r) = 4*a(r) - 33*n(r). Factor l(q).
-3*q*(q + 1)*(q + 9)
Let h(t) be the second derivative of -13*t + 4/15*t**4 + 2/25*t**5 + 0 + 1/5*t**2 + 1/3*t**3. Find b such that h(b) = 0.
-1, -1/2
Let h be 1170/180 - (-9