- 6/11 + j*p**2 = 0. What is p?
-1, 3
What is p in 5*p**2 - 5*p**2 - 12 + 20*p - 4*p**2 - 4*p**3 = 0?
-3, 1
Find g such that -168*g**2 + 1516 + 138*g**2 - 516 - 2*g**3 = 0.
-10, 5
Let s(i) be the second derivative of -i**6/8 - i**5/6 + 5*i**4/24 + 3*i**2/2 - 10*i. Let q(z) be the first derivative of s(z). Factor q(y).
-5*y*(y + 1)*(3*y - 1)
Suppose -2*b = -0*b + 4*x - 32, -b = 5*x - 1. Let z be 10/65 + 48/b. Solve -3*d**4 + 10*d**5 + 14*d**z - 5*d - 11*d**4 - 6*d**3 + d = 0 for d.
-1, 0, 2/5, 1
Let c(w) = -2*w**2 - w - 1. Let p(f) = -5*f**4 + 25*f**3 + 69*f**2 + 37*f + 2. Let u(b) = -2*c(b) - p(b). Factor u(k).
5*k*(k - 7)*(k + 1)**2
Let f(t) be the first derivative of t**4/4 - 11*t**3/3 - 25*t**2/2 - 13*t - 18. Suppose f(q) = 0. Calculate q.
-1, 13
Let k(y) be the third derivative of -3*y**8/112 + 13*y**7/70 + 59*y**6/40 - 9*y**5/20 - 11*y**4 + 14*y**3 - 41*y**2. Suppose k(n) = 0. What is n?
-2, 1/3, 1, 7
Suppose -106*a - 46 + 251 = -113. Suppose -32/5 + 8/5*v**2 + 4/5*v**a - 16/5*v = 0. What is v?
-2, 2
Let b(n) be the second derivative of -13*n - 55/6*n**3 - 10*n**2 - 35/12*n**4 + 0. Let b(k) = 0. What is k?
-1, -4/7
Let k(u) = -8*u**3 + 58*u**2 + 130*u + 69. Let v(n) = 39*n**3 - 291*n**2 - 651*n - 345. Let a(w) = 24*k(w) + 5*v(w). Factor a(r).
3*(r - 23)*(r + 1)**2
Let t(s) be the first derivative of -16*s**4/7 - 800*s**3/21 - 78*s**2 - 396*s/7 + 80. Factor t(j).
-4*(j + 11)*(4*j + 3)**2/7
Let s be (-10)/40 + (-1)/(-8)*10. Let v(g) = g**4 + g**3 + g**2 + g. Let y(c) = 3*c**4 + 6*c**3 + 5*c**2 - 2*c - 4. Let h(r) = s*y(r) - 2*v(r). Solve h(n) = 0.
-2, -1, 1
Let h be (-82)/(-164)*(1 + -1). Find b such that 4/9*b + h + 4/9*b**2 = 0.
-1, 0
Suppose 4*m = -2*f - 10, 0 = m - 5*f + 7*f + 10. Factor 0*q + m*q**2 + 0 + 0*q**4 + 2/3*q**5 - 2/3*q**3.
2*q**3*(q - 1)*(q + 1)/3
Let i(a) be the second derivative of -a**7/13860 + a**6/495 - 4*a**5/165 + a**4/3 + 7*a. Let j(k) be the third derivative of i(k). Solve j(c) = 0.
4
Let 0 + 0*y**2 - 2/3*y**5 - 2/3*y + 0*y**4 + 4/3*y**3 = 0. Calculate y.
-1, 0, 1
Suppose -4 = -5*a - 4*g, -4*a - 3*g - 16 = -5*a. Solve -12 + 57*d**a + 9*d**2 + 18*d**3 - 108*d**4 + 54*d**4 - 3*d**3 - 15*d = 0.
-4, -1, 1
Let j(y) be the second derivative of 0*y**3 - 1/50*y**5 - 1/30*y**4 + 0 + 1/75*y**6 + 0*y**2 - 18*y + 1/105*y**7. Factor j(s).
2*s**2*(s - 1)*(s + 1)**2/5
Let u(v) be the third derivative of -v**9/15120 + v**7/1260 - v**5/30 + 10*v**2. Let x(q) be the third derivative of u(q). Factor x(r).
-4*r*(r - 1)*(r + 1)
Factor 16/5 - 2/5*y**2 + 4/5*y.
-2*(y - 4)*(y + 2)/5
Suppose 2*v + 104 = -2*x + 436, -5*v = x - 182. Factor 7*t**3 - 2*t**3 - x*t - 36*t**2 - 7*t**3.
-2*t*(t + 9)**2
Let f(n) be the second derivative of 1/25*n**5 + 0*n**4 + 0 + 5*n + 0*n**3 + 0*n**2 + 1/75*n**6. What is t in f(t) = 0?
-2, 0
Suppose 0 = 7*w - 5*w - 76. Let x = w + -35. Factor 0 + 1/2*q + 1/2*q**x + q**2.
q*(q + 1)**2/2
Let a(s) = -5*s**2 - 31*s - 37. Let u(p) = -p**2 - 6*p - 7. Let c(q) = -4*a(q) + 22*u(q). Solve c(w) = 0.
-3, -1
Let i(p) be the second derivative of p**4/6 - 4*p**3 + 20*p**2 - 129*p. Suppose i(k) = 0. Calculate k.
2, 10
Factor 0 + 66/13*z**3 + 38/13*z**2 + 18/13*z**4 + 6/13*z.
2*z*(z + 3)*(3*z + 1)**2/13
Let m = -979/2 - -490. Factor m - 2*c + 3*c**2 + 1/2*c**4 - 2*c**3.
(c - 1)**4/2
Factor 1/4*b**2 - 11/4*b + 0.
b*(b - 11)/4
Let m(h) = -27*h**3 - 33*h**2 + 76*h + 6. Let r(s) = -14*s**3 - 16*s**2 + 38*s + 4. Let a(i) = 6*m(i) - 11*r(i). Factor a(n).
-2*(n - 1)*(n + 4)*(4*n - 1)
Suppose 357*v - 81 = -81. Determine b, given that 3/4*b**4 + 0*b + 3/4*b**3 + v + 1/4*b**5 + 1/4*b**2 = 0.
-1, 0
Let w(y) be the second derivative of 3*y**5/10 - 47*y**4/3 + 29*y**3/3 + 62*y**2 + 327*y. Factor w(v).
2*(v - 31)*(v - 1)*(3*v + 2)
Let d(k) = -15*k**4 + 87*k**3 + 27*k**2 - 75*k - 12. Let v(q) = -6*q**4 + 35*q**3 + 11*q**2 - 30*q - 5. Let r(h) = -5*d(h) + 12*v(h). Factor r(u).
3*u*(u - 5)*(u - 1)*(u + 1)
Let v(l) = 21*l + 845. Let y be v(-39). Factor y + 2/13*f**2 - 4*f.
2*(f - 13)**2/13
Let i(g) = g**3 + 50*g**2 + 372*g + 125. Let a be i(-41). Determine d so that -3 + 1/2*d**a - 1/2*d = 0.
-2, 3
Let q = 84 + -81. Let l(x) be the third derivative of -5/8*x**4 + 3/20*x**5 + q*x**2 + 1/2*x**3 + 0*x + 0 + 1/8*x**6 - 2/35*x**7. Suppose l(d) = 0. What is d?
-1, 1/4, 1
Suppose -3*m + 23 = 8. Suppose -2*i + 2 = 0, 0*u = -4*u + m*i + 3. Factor 2*s**3 - s**2 - 14*s**4 + 0*s**u + 13*s**4.
-s**2*(s - 1)**2
Let v(c) be the third derivative of -c**6/960 + c**4/192 + 710*c**2. Solve v(l) = 0 for l.
-1, 0, 1
Let y(n) be the first derivative of n**3/6 + 5*n**2/4 + 2*n - 77. Solve y(v) = 0 for v.
-4, -1
Suppose 0 = -3*n + 2*o, -2*n + 2212*o - 2216*o = -32. Factor -2/19*b**n - 6/19*b**2 + 6/19*b**3 + 2/19*b + 0.
-2*b*(b - 1)**3/19
Let -1/4*z**2 - 27889/4 + 167/2*z = 0. Calculate z.
167
Suppose 14 = -3*p + 10*p. Let f(h) be the first derivative of -1 + 2/3*h**3 - h**p - 4*h. Determine b so that f(b) = 0.
-1, 2
Let n(q) be the first derivative of 0*q + 5*q**2 - 11 - 15/4*q**4 + q**5 + 5/6*q**6 - 5/3*q**3. Suppose n(b) = 0. What is b?
-2, -1, 0, 1
Let w(q) be the second derivative of -q**5/20 + q**4/3 - q**3/6 - 3*q**2 + 719*q. Factor w(r).
-(r - 3)*(r - 2)*(r + 1)
Let k = 19/33 - -4/165. Determine o so that 3/5*o**3 + 9/5*o + 9/5*o**2 + k = 0.
-1
Suppose 79*k + 43 + 12 - 371 = 0. Factor 1/7*v**2 + 0*v + 1/7*v**k + 0 - 2/7*v**3.
v**2*(v - 1)**2/7
Let n(m) be the third derivative of m**5/570 + 5*m**4/228 + 191*m**2 + 1. Factor n(f).
2*f*(f + 5)/19
Suppose 0 = -5*b + 2*m + 3*m + 20, -b = -4*m - 7. Factor 3*u**4 - 3*u**2 - u**3 + 6*u - 12*u + u**b + 6*u**3.
3*u*(u - 1)*(u + 1)*(u + 2)
Let v(c) be the second derivative of -13*c - 3*c**4 + 0 + 16*c**3 + 1/5*c**5 - 32*c**2. Determine z so that v(z) = 0.
1, 4
Let r(a) = 2*a**4 + 47*a**3 + 108*a**2 - 177*a - 540. Let y(p) = 3*p**4 + 48*p**3 + 107*p**2 - 178*p - 540. Let z(u) = -2*r(u) + 3*y(u). Factor z(q).
5*(q - 2)*(q + 3)**2*(q + 6)
Factor 98*a**2 + 5*a**4 - 167*a**2 - 20*a + 99*a**2 - 40 + 25*a**3.
5*(a - 1)*(a + 2)**3
Let f(i) be the second derivative of -i**8/6720 + i**7/1120 - i**6/480 + i**5/480 - i**3/2 - 11*i. Let v(a) be the second derivative of f(a). Factor v(x).
-x*(x - 1)**3/4
Let o(z) be the first derivative of -z**6/3 + z**4/2 + 256. Let o(g) = 0. Calculate g.
-1, 0, 1
Let j(r) = 3*r**2 - 11*r - 9. Let q(s) = -2*s + 3*s - 347 - s**2 + 348. Let v(f) = j(f) + 5*q(f). Solve v(g) = 0.
-2, -1
Let x(s) = s**3 + 5*s**2 - 3*s - 8. Let j be x(-5). Let i = j - 5. Factor y - i*y - y**2 + 0 - y**2 + 1.
-(y + 1)*(2*y - 1)
Let i = 519/365 - 60/73. Suppose -11 = -4*u - 3. Factor -6/5 + 3/5*w**u - i*w.
3*(w - 2)*(w + 1)/5
Suppose 2*a - 2 + 0 = 0. Let m(p) = -2*p**2 + 10*p - 8. Let x(c) = c - 1. Let k(z) = a*m(z) - 10*x(z). Suppose k(h) = 0. What is h?
-1, 1
Let o(i) be the first derivative of 4*i**5/35 + 27*i**4/14 - 10*i**3/7 - 2*i**2 - 148. Determine u so that o(u) = 0.
-14, -1/2, 0, 1
Let i = -903 + 903. Let o(b) be the third derivative of -1/600*b**6 + 0*b**5 + 0*b**4 + i*b + 12*b**2 + 0*b**3 + 0. Factor o(w).
-w**3/5
Let w be (83/(-30)*2 - -5)*-3. What is a in 8/5*a**2 - w - 12/5*a + 0*a**4 - 4/5*a**5 + 16/5*a**3 = 0?
-1, 1, 2
Factor 10*v**2 - 15*v**2 + 18730 - 91*v + 2945 - 419*v + 8*v**2.
3*(v - 85)**2
Let t(q) = q**3 + 9*q**2 - q - 2. Let i(b) = b + 1. Let c be i(-10). Let l be t(c). Let -3*w + w - 2*w**4 - 3*w**2 - 3 - l*w + 9*w**3 + 8*w**4 = 0. Calculate w.
-1, -1/2, 1
Let v be ((-60)/90)/(10/(-4)). What is m in -4/15 + 2/5*m + v*m**2 = 0?
-2, 1/2
Let m(s) be the second derivative of 3*s**5/20 - 5*s**4/3 + 43*s**3/6 - 15*s**2 + 2*s + 201. Solve m(x) = 0 for x.
5/3, 2, 3
Let j(t) = -42*t**4 - 240*t**3 - 440*t**2 - 320*t - 77. Let o(c) = -c**4 - 1. Let x(h) = -h + 1. Let b be x(4). Let m(r) = b*o(r) - j(r). Factor m(p).
5*(p + 2)**2*(3*p + 2)**2
Factor 1473*w**3 - 7397*w**2 + 13*w + 2170*w**4 + 961*w**5 + 7677*w**2 + 3*w.
w*(w + 1)**2*(31*w + 4)**2
Suppose 258*n = 248*n. Let i(x) be the third derivative of -1/6*x**3 + 5*x**2 + 0 - 1/16*x**4 + n*x + 1/240*x**6 + 0*x**5. What is y in i(y) = 0?
-1, 2
Let p(r) = r**2 - r - 1. Let a(b) = 7*b**2 - b - 5. Let u be (0 - -2) + -4 + 21/3. Let h(t) = u*p(t) - a(t). Factor h(y).
-2*y*(y + 2)
Let t(d) be the second derivative of -33*d**5/20 - 17*d**4/3 + 95*d**3/6 + 3*d**2