 10*x**2 + 5/12*x**4 + 0 + 10/3*x**3. What is p in z(p) = 0?
-2, 1, 2
Suppose -b + 0*k = -3*k - 10, 0 = -2*k - 4. Suppose b*o**3 - 4*o**5 + 4*o**2 + 950 - 4*o**4 - 950 = 0. Calculate o.
-1, 0, 1
Factor 4 - 4*f**3 - 666*f**5 - 4 - 2*f**4 + 665*f**5 + 3*f**3.
-f**3*(f + 1)**2
Suppose 3*r + 10 = 2*i, 0 = -3*i - 5*r + 12 + 3. Suppose 5*l - 10*l**2 - 4*l**i - 3*l**4 - 10*l**3 + 5*l**5 + 4*l**5 + 5 + 8*l**4 = 0. Calculate l.
-1, 1
Let l be 5/((-10)/(-14)) - (3190/(-242) + 20). Factor 0 + l*k**5 + 0*k + 0*k**3 + 8/11*k**2 - 6/11*k**4.
2*k**2*(k - 2)**2*(k + 1)/11
Let r = -15511/11 + 1411. Factor 16/11*u - 8/11 + 2/11*u**3 - r*u**2.
2*(u - 2)**2*(u - 1)/11
Determine d, given that -386/9*d**2 - 208/3*d - 32 - 52/9*d**3 - 2/9*d**4 = 0.
-12, -1
Let 112*b**2 + 62*b**2 + 29*b**3 - 18*b - 183*b**2 - 16*b**4 + 6*b**4 = 0. What is b?
-3/5, 0, 3/2, 2
Let w(n) = -2*n**3 + 136*n**2 - 2034*n - 2166. Let v(d) = d**2 + 2*d + 2. Let h(q) = 6*v(q) - w(q). Factor h(f).
2*(f - 33)**2*(f + 1)
Let u(t) = -9*t**2 - 39*t - 22. Let m(y) = 22*y**2 + 78*y + 45. Let n(z) = 4*m(z) + 9*u(z). Factor n(q).
(q - 6)*(7*q + 3)
Let y(t) be the second derivative of -t**7/3780 + t**6/324 - t**5/135 + 11*t**3/3 - 8*t. Let z(h) be the second derivative of y(h). Find m such that z(m) = 0.
0, 1, 4
Let x(k) be the third derivative of k**6/480 + k**5/24 + k**4/8 - 3*k**3 + 2*k**2 - 151*k. Determine n, given that x(n) = 0.
-6, 2
Let i(s) be the third derivative of 0*s - 1/2*s**3 + 9*s**2 - 3/20*s**5 - 3/8*s**4 - 1/40*s**6 + 0. Factor i(v).
-3*(v + 1)**3
Suppose -c + 2*k = 5*k + 4, c + k = 0. Let j = 1/260 + 129/260. Factor y**c + j*y + 0 - y**4 - 1/2*y**5 + 0*y**3.
-y*(y - 1)*(y + 1)**3/2
Factor 13/7*b**3 + 4/7 + 24/7*b**2 + 17/7*b + 2/7*b**4.
(b + 1)**2*(b + 4)*(2*b + 1)/7
Let v(u) = -u**3 + 9*u**2 - 15*u + 16. Let o be v(7). Let w be 3/(-15)*(-1)/(3/o). Find l such that -w*l**3 - 3/5*l**2 + 0 + 6/5*l = 0.
-2, 0, 1
Suppose 0 = -5*p - 0*p + 200. Suppose -3*a + p - 10 = 0. Let r(y) = y**4 + 8*y**3 + 2*y**2 + 5. Let z(b) = -b**3 - 1. Let j(c) = a*z(c) + 2*r(c). Factor j(w).
2*w**2*(w + 1)*(w + 2)
Let j(t) = 15*t - 49. Let h be j(5). Factor h*r**2 + r**3 - 2*r**2 - 5*r**3 - 20*r.
-4*r*(r - 5)*(r - 1)
Suppose -2*l + 920 = -v, -2*l - 3*v + 740 = -180. Factor -4 - 2*m + 12 + 459*m**2 - l*m**2.
-(m - 2)*(m + 4)
Let i(x) be the second derivative of x**4/16 - x**3/2 - 63*x**2/8 + 214*x. Factor i(s).
3*(s - 7)*(s + 3)/4
Let i(u) = u**3 + 3*u**2 + 3*u + 4. Let a = 162 - 164. Let h be i(a). Factor 2/3*v**3 - 4/3*v**4 + 0 + 0*v**h + 0*v + 2/3*v**5.
2*v**3*(v - 1)**2/3
Let x(n) be the first derivative of n**6/720 - n**5/180 - n**4/48 + 41*n**2/2 - 2. Let m(f) be the second derivative of x(f). Suppose m(t) = 0. Calculate t.
-1, 0, 3
Let t(s) be the third derivative of -25/24*s**4 - 1/12*s**5 - 5/2*s**3 - s**2 + 1/24*s**6 + 0*s + 13. Factor t(a).
5*(a - 3)*(a + 1)**2
Let 15*x**3 - 13*x**2 - 60*x + 84 + 18*x**2 - 104 = 0. What is x?
-2, -1/3, 2
Let u = -1768/3 - -590. Factor -z + 2/3*z**2 - u.
(z - 2)*(2*z + 1)/3
Let p = -158/7 + 166/7. Determine u, given that 5/7*u**3 - 10/7*u**2 + 3/7*u**4 - 20/7*u - p = 0.
-2, -1, -2/3, 2
Suppose 16 + 59 = 5*o. Let l(f) = -3*f**2 - 15. Let c(p) = -p**2 - 4. Let a(v) = o*c(v) - 4*l(v). Factor a(s).
-3*s**2
Let o = 1/46 + 8/161. Let q(w) be the first derivative of -3/35*w**5 + o*w**2 - 1/28*w**4 + 7 + 5/21*w**3 - 2/7*w. Find g such that q(g) = 0.
-1, 2/3, 1
Determine t so that -t**2 - 17*t**4 - 4*t**5 + 10*t - 30*t**3 - 9*t**5 + 18*t**5 - 3*t**5 = 0.
-1, 0, 1/2, 10
Let n = -5021/15 + 335. Suppose 0 + n*i + 2/3*i**2 = 0. Calculate i.
-2/5, 0
Let p = -112 - 65. Let w = p + 888/5. Let -48/5 + 9*f**2 + 24/5*f**3 + w*f**4 - 24/5*f = 0. Calculate f.
-4, -1, 1
Let o = 0 + 2. Suppose -o*v - 35 = -5*z + v, 3*v + 7 = -2*z. Factor 5*d**4 + 0*d**4 + d**4 - z*d**2 + 0*d**3 + 2*d**3.
2*d**2*(d + 1)*(3*d - 2)
Let t(j) be the first derivative of -98/5*j - 2/15*j**3 + 14/5*j**2 - 29. Let t(o) = 0. What is o?
7
Let g(z) be the first derivative of z**4 + 28*z**3/3 + 32*z**2 + 48*z - 197. Find y, given that g(y) = 0.
-3, -2
Factor -20/7*w - 6/7 + 26/7*w**2.
2*(w - 1)*(13*w + 3)/7
Let s be (-8 + 8)*(-5)/20. Let m(l) be the first derivative of 2/9*l**3 - 4 - 8/3*l + s*l**2. Factor m(d).
2*(d - 2)*(d + 2)/3
Factor -2/9*m + 2/9*m**3 + 16/9 - 16/9*m**2.
2*(m - 8)*(m - 1)*(m + 1)/9
Find m, given that -16/17 - 140/17*m - 2*m**2 = 0.
-4, -2/17
Let d(q) be the first derivative of -2*q**3/3 - 9*q**2 + 20*q - 31. Factor d(t).
-2*(t - 1)*(t + 10)
Let m(v) be the third derivative of -v**6/96 + v**5/6 - 85*v**4/96 + 25*v**3/12 - 2*v**2 - 30*v. Factor m(t).
-5*(t - 5)*(t - 2)*(t - 1)/4
What is w in -18/7*w**2 + 10/7*w**3 + 4/7*w + 0 - 2*w**5 + 18/7*w**4 = 0?
-1, 0, 2/7, 1
Let x = 11394 - 11392. Factor -2/5*l**x + 14/5*l - 12/5.
-2*(l - 6)*(l - 1)/5
Let x be (-4707)/(-855) - (-4)/(-38). Factor 18/5*u - 3/5*u**2 - x.
-3*(u - 3)**2/5
Let p be (-20 + 665/38)*2*-1. Factor 3/5*a**p + 3/5*a**4 - 6/5*a**3 + 0 + 0*a**2 + 0*a.
3*a**3*(a - 1)*(a + 2)/5
Let q(s) be the third derivative of s**6/24 + 7*s**5/6 + 35*s**4/8 - 30*s**3 + 189*s**2 + 1. Factor q(y).
5*(y - 1)*(y + 3)*(y + 12)
Let z(j) be the second derivative of 15/16*j**4 + 0 + 21/80*j**5 + 26*j + 1/40*j**6 + 13/8*j**3 + 3/2*j**2. Solve z(q) = 0.
-4, -1
Let y(t) be the second derivative of t**7/63 + 4*t**6/45 - 3*t**5/5 + 10*t**4/9 - 7*t**3/9 - 43*t - 1. Factor y(h).
2*h*(h - 1)**3*(h + 7)/3
Determine u so that 3 - 47/2*u + 130/3*u**2 + 79/6*u**3 - 28/3*u**4 - 8/3*u**5 = 0.
-3, 1/4, 2
Let j(v) = 10*v**2 - 68*v. Let m(f) = f**2 - 2*f. Let c(t) = -j(t) + 8*m(t). Factor c(w).
-2*w*(w - 26)
Factor 2*x**5 - 3*x**5 - 25*x**4 - 55753*x**3 - 14*x**5 + 55743*x**3.
-5*x**3*(x + 1)*(3*x + 2)
Determine w so that -105*w - 5*w**2 - 162 + 270 + 122 = 0.
-23, 2
Let h(s) be the first derivative of -2/21*s**3 - 2/7*s**2 + 44 + 0*s. Factor h(y).
-2*y*(y + 2)/7
Let j(g) be the second derivative of 14*g**5/85 + 43*g**4/102 + 10*g**3/51 - 7*g + 5. Let j(u) = 0. What is u?
-5/4, -2/7, 0
Factor -113*r**3 - 6*r**4 + 13 - 191*r + 34*r + 13 + 29*r**4 - 19*r**4 + 240*r**2.
(r - 26)*(r - 1)**2*(4*r - 1)
Let i(f) be the first derivative of -5*f**4/4 + 430*f**3/3 - 572. Factor i(z).
-5*z**2*(z - 86)
Suppose 5*h + 55 = 4*l, 5*l - 5 = 4*h + 39. Let y be 42/147*(-1 + h/(-4)). Factor -y*t**4 - 1/2 + 0*t**3 + 0*t + t**2.
-(t - 1)**2*(t + 1)**2/2
Let l(r) be the second derivative of r**5/210 - r**3/63 - 12*r - 3. Factor l(z).
2*z*(z - 1)*(z + 1)/21
Let u be (1 + (-39)/(-15))*(-200)/(-15). Determine s, given that -39*s + 6 + 30*s**2 - 8*s**2 + 120*s**3 + u*s**4 + 5*s**2 = 0.
-2, -1, 1/4
Suppose -5*h - 25 = 3*y, -5*y = -2*h + 36 - 46. Let -1/2 + j**2 + 0*j - 1/2*j**4 + y*j**3 = 0. What is j?
-1, 1
Factor 11/4*s - 1/8*s**2 - 121/8.
-(s - 11)**2/8
Let z(m) = 8*m**2 - 15*m - 18. Let v(f) be the first derivative of -3*f**3 + 15*f**2/2 + 18*f + 11. Let r(j) = 5*v(j) + 6*z(j). Solve r(k) = 0.
-1, 6
Suppose -6*p - 3*t = 11*p, 0 = -4*p + 5*t. Determine j, given that -1/6*j**5 - 13/6*j**2 + 1/6*j**4 + j + p + 7/6*j**3 = 0.
-3, 0, 1, 2
Let z(b) = b**2 + b - 1. Let w(n) = -24*n**2 - 21*n + 18. Let f(p) = -23*p**2 - 22*p + 18. Let h(k) = 3*f(k) - 2*w(k). Let m(i) = -h(i) - 18*z(i). Factor m(y).
3*y*(y + 2)
Let q(z) be the first derivative of -4/21*z**3 + 0*z - 1/14*z**4 - 37 + 0*z**2. Factor q(w).
-2*w**2*(w + 2)/7
Factor -196*i**4 + 386*i**4 - 3*i**2 + 3*i**5 - 187*i**4 - 3*i**3.
3*i**2*(i - 1)*(i + 1)**2
Let s(h) = -h**3 - h + 1. Let i(k) = -6*k**3 + 3*k**2 - 8*k + 6. Let d be -9*1 + (2 - 3). Let c = d - -20. Let n(g) = c*s(g) - 2*i(g). Factor n(p).
2*(p - 1)**3
Factor 350/3*t**2 - 2/3*t**3 + 706/3*t + 118.
-2*(t - 177)*(t + 1)**2/3
Let o(g) be the second derivative of g**6/15 + g**5/2 + g**4 - 4*g**3/3 - 8*g**2 + 159*g. Find q such that o(q) = 0.
-2, 1
Let t(k) be the first derivative of 4*k**4/9 + 26*k**3/27 - 2*k**2/3 + 70. Factor t(g).
2*g*(g + 2)*(8*g - 3)/9
Let o be 20/(-420)*(6 + -12). Factor 2/7*d**3 - 4/7*d - o*d**2 + 0.
2*d*(d - 2)*(d + 1)/7
Let g(o) be the first derivative of o**9/4032 + o**8/1120 + o**7/1120 - 19*o**3/3 - 46. Let q(n) be the third derivative of g(n). What is f in q(f) = 0?
-1, 0
Let l = 275/4 - 68. Let j(f) be the third derivative of 0 + l*f**4 + 1/10*f**5 + 1/180*f**6 + 3*f**3