t x(a) = 3*c(a) - 15*l(a). What is w in x(w) = 0?
-6, -3, 1, 2
Let q(j) be the second derivative of -2*j**7/63 + 2*j**6/15 + j**5/3 - j**4/3 - 8*j**3/9 - 9*j. Solve q(k) = 0.
-1, 0, 1, 4
Let u = -1471 - -1476. Let h(p) be the second derivative of 6*p + 1/20*p**u + 1/2*p**3 - 5/12*p**4 + 0 + 9/2*p**2. Factor h(t).
(t - 3)**2*(t + 1)
Suppose m = j - 2*j + 2, -4*j + 28 = -m. Determine b, given that -j*b**3 - 22*b**2 + 4*b**5 + 14*b**2 - 6*b**3 = 0.
-1, 0, 2
Let n be (-8)/(-92) - (-497)/(-161) - (-62)/18. Solve -4/9*t**2 - 2/9*t + n + 2/9*t**3 = 0 for t.
-1, 1, 2
Let k = 34228 + -34226. Let 0*s**k + 0 + 1/4*s**3 - s = 0. Calculate s.
-2, 0, 2
Let d(p) = -486*p - 6. Let o be d(-3). Find w such that 1454 - 8*w**2 - 3*w - o - 3*w = 0.
-1, 1/4
Let h(l) be the second derivative of 0 + 0*l**2 - 9*l + 5/6*l**3 + 1/4*l**5 + 5/6*l**4. Factor h(u).
5*u*(u + 1)**2
Let d be 34/4 - 3/6. Suppose d*w - 78 = 50. Factor -w*p**2 + 3*p - 7*p - 4*p**3 + 8*p**2.
-4*p*(p + 1)**2
Let l be 4/(-6) - (-20)/3. Let p = -216 + 218. Factor -3*d**p - 2*d + 0*d + 3*d**4 + 4*d + 4*d - l*d**3.
3*d*(d - 2)*(d - 1)*(d + 1)
Let u(y) be the first derivative of 0*y**3 - 1/25*y**5 + 1/5*y + 1/5*y**2 + 15 - 1/10*y**4. Factor u(i).
-(i - 1)*(i + 1)**3/5
Suppose 3 + 9 = 3*o. Let m = 3544/7 + -506. Factor 4/7*p**3 - 4/7*p + 0 + m*p**2 - 2/7*p**o.
-2*p*(p - 2)*(p - 1)*(p + 1)/7
Suppose -9/2*g**4 - 12 + 9*g - 21/2*g**3 + 33/2*g**2 + 3/2*g**5 = 0. What is g?
-2, -1, 1, 4
Suppose 5*u = 2*d + 171 - 41, 0 = 4*u + d - 91. Factor 3*w**3 - 7*w**3 + 122*w**4 - u*w**2 - 118*w**4.
4*w**2*(w - 3)*(w + 2)
Determine x so that 2*x**2 - 27*x**2 - 37*x - 10 - 38*x + 20*x = 0.
-2, -1/5
Let y = 25 - 22. Suppose 2*b**y + 0*b**3 - 30*b + 22*b = 0. Calculate b.
-2, 0, 2
Let j(p) = p**3 + 10*p**2 - 14*p + 18. Let h be j(-12). Let s = -98 - h. What is n in 1/4*n**s + 1/4*n + 3/4*n**3 + 0 + 3/4*n**2 = 0?
-1, 0
Suppose -5/6*z**3 + 25/3 + 26/3*z**2 - 145/6*z = 0. What is z?
2/5, 5
Suppose -2*x = 4*h + x - 12, 0 = 5*x + 20. Let n be (h/(-4))/((-3)/4). Solve g - 17*g**2 + 19*g**n - g = 0.
0
Solve 2*y**2 + y**2 + 184*y - 18 + 3*y**2 - 132*y = 0.
-9, 1/3
Factor 5*q**3 + 1 - 21*q**2 + 12*q - 8*q**3 + 6*q**3 + 35.
3*(q - 6)*(q - 2)*(q + 1)
Let o(k) be the first derivative of -k**6/6 + 2*k**5/5 + k**4/2 - 4*k**3/3 - k**2/2 + 2*k - 51. Solve o(u) = 0.
-1, 1, 2
Suppose -41*r + 40*r + 2 = 0. Factor 4/7*x - 2/7*x**r + 6/7.
-2*(x - 3)*(x + 1)/7
Suppose 63*p - 66*p = -b + b, 5*b + p = 0. Determine d so that 2/5*d**2 - 6/5*d**4 + 0*d + b + 4/5*d**3 = 0.
-1/3, 0, 1
Find v such that -24 + v**5 - 8*v**2 + 48*v**3 + 3 - 52*v + 1 - 4 + 3*v**5 + 32*v**4 = 0.
-6, -1, 1
Let x be (-7 - (1 + -2))/(-5 - -3). Factor -18*c**x + 25*c**4 - 23*c**3 - 10*c**5 + 49*c**3 - 18*c**3.
-5*c**3*(c - 2)*(2*c - 1)
Let t = -1246 + 1251. Let m(s) be the second derivative of -1/24*s**3 + 0*s**4 + 0*s**2 + 5*s + 0 + 1/80*s**t. Factor m(x).
x*(x - 1)*(x + 1)/4
Let x be 3/(-2) + 7/2. Suppose -t + 0*y = 2*y, -5*y = 5*t - 10. Find w such that 2*w**3 + 16*w + 2*w**3 - 2*w**3 + 14*w**2 - t*w**x + 8 = 0.
-2, -1
Let f(x) = x**2 + 7*x - 10. Let c be f(-10). Suppose 3*n + n = c. Find w, given that 10 - 5*w - n*w**2 - 1 - 9 + 5*w**4 + 5*w**3 = 0.
-1, 0, 1
Let x be ((-6)/(-7))/(1107/984 - 51/56). Let 4*d**3 - 8/3*d**2 - 2/3 + 10/3*d**x - 4*d = 0. What is d?
-1, -1/5, 1
Let m(j) be the second derivative of j**7/126 + 2*j**6/45 + j**5/10 + j**4/9 + j**3/18 + 109*j. Factor m(z).
z*(z + 1)**4/3
Let o(c) be the second derivative of -c**6/960 - c**5/96 - c**4/64 + 3*c**3/16 + 39*c**2/2 - 8*c. Let a(z) be the first derivative of o(z). Factor a(m).
-(m - 1)*(m + 3)**2/8
Determine s so that -28/5*s - 2/5*s**2 - 66/5 = 0.
-11, -3
Let a(c) be the first derivative of -1/18*c**3 - 1/3*c**2 - 1 + 1/36*c**4 + 3*c. Let k(j) be the first derivative of a(j). Factor k(o).
(o - 2)*(o + 1)/3
Let t(a) = -a**4 + a**2. Let r(h) = 2*h**5 - 7*h**4 + 6*h**3 + 7*h**2 - 8*h. Let u(m) = -r(m) - t(m). Let u(b) = 0. Calculate b.
-1, 0, 1, 2
Let k be (-40)/60 - (5/(-3) + 0). Let h be ((-3 - -4)*k)/(2/6). Suppose -4/5 - 2/5*c**h + 2/5*c + 4/5*c**2 = 0. Calculate c.
-1, 1, 2
Determine y so that -50/11 + 20/11*y - 2/11*y**2 = 0.
5
Let f be (-2)/10 - (-418)/(-110) - -13. Let m(h) be the first derivative of -f*h - 1/3*h**3 + 3*h**2 + 5. Factor m(i).
-(i - 3)**2
Let j(r) = -r**4 - r**3 - 1. Let o(t) = -3*t**5 - 15*t**4 - 12*t**3 - 6. Let n(l) = -l + 12. Let v be n(6). Let a(p) = v*j(p) - o(p). Factor a(q).
3*q**3*(q + 1)*(q + 2)
Let s = 57 + -63. Let w(r) = -3*r**2 - 24*r + 27. Let v(k) = -6*k**2 - 47*k + 53. Let u(l) = s*v(l) + 11*w(l). Factor u(j).
3*(j - 1)*(j + 7)
Let g(j) = 5*j**4 + 10*j**3 + 6*j - 6. Let y(l) = 0*l - l + 5 - l**4 - l**3 - 4. Let i be (6/7)/((7 - 4)/(-21)). Let p(r) = i*y(r) - g(r). Factor p(w).
w**3*(w - 4)
Let c(p) be the first derivative of -p**7/21 + 7*p**6/60 + 4*p**5/15 - p**4/3 - 11*p**2/2 + 13. Let z(j) be the second derivative of c(j). Factor z(d).
-2*d*(d - 2)*(d + 1)*(5*d - 2)
Let h(c) be the second derivative of -c**6/180 - 5*c**5/12 - 34*c**4/3 - 2023*c**3/18 + 4913*c**2/12 - 11*c - 1. Factor h(w).
-(w - 1)*(w + 17)**3/6
Let k(i) = -10*i**3 + 198*i**2 - 3084*i + 16378. Let d(n) = -9*n**3 + 197*n**2 - 3082*n + 16379. Let j(s) = -6*d(s) + 5*k(s). Factor j(v).
4*(v - 16)**3
Let q = 504 - 496. Let a(n) be the first derivative of q*n + 6*n**2 + 2*n**3 + 1/4*n**4 - 4. Factor a(z).
(z + 2)**3
Suppose 2 = 6*m - 28. Suppose 2*q + 2*q = 100. Factor -25*u**4 + 0*u - m*u**5 - 5*u + q*u**4 + 10*u**3.
-5*u*(u - 1)**2*(u + 1)**2
Let f = 7/24 - -3/8. Let c(m) be the third derivative of f*m**3 + 5*m**2 - 1/2*m**4 + 0 + 3/20*m**5 + 0*m. What is v in c(v) = 0?
2/3
Let r(l) be the first derivative of l**3 - 3*l**2 + 3*l - 2. Let n be r(4). Determine o so that -4*o**2 + 13*o**3 - o**3 + n*o - 43*o = 0.
-1, 0, 4/3
Let j = -179 - -182. Let m be -1 + (-2 - -4 - j)*-1. Determine n so that -1/3*n**5 + 0*n + 0*n**4 + m + 1/3*n**3 + 0*n**2 = 0.
-1, 0, 1
Let t(r) be the third derivative of r**5/30 + 5*r**4/24 + 7*r**3/3 - 6*r**2. Let a be t(-6). Factor 18 + 2*l**5 + 8*l**4 + a*l + 8*l**4 + 50*l**3 + 76*l**2 - 2.
2*(l + 1)**2*(l + 2)**3
Let a(h) = 21*h**2 - 33*h + 21. Let j(b) = 5*b**2 - 8*b + 5. Let g = -9 + 19. Let u = g + -12. Let k(s) = u*a(s) + 9*j(s). Determine p so that k(p) = 0.
1
Let c(u) be the third derivative of -1/9*u**3 + 1/72*u**4 + 1/180*u**5 + 0 + 20*u**2 + 0*u. Solve c(m) = 0 for m.
-2, 1
Let w(h) = 196*h**3 - 467*h**2 - 320*h - 30. Let z(b) = -49*b**3 + 117*b**2 + 80*b + 8. Let y(q) = 4*w(q) + 18*z(q). Solve y(d) = 0 for d.
-2/7, 3
Factor 8/3 - 4/3*c + 4/3*c**3 - 4*c**2 + 4/3*c**4.
4*(c - 1)**2*(c + 1)*(c + 2)/3
Let c(l) = -l**2 - 7*l - 4. Let y be c(-6). Let m be 2/(((-3)/(-6))/((-21)/(-42))). Factor -9*j + 4*j**2 + 0*j**m - j**y + 6.
3*(j - 2)*(j - 1)
Let v(s) = -s**2 + 4*s + 4. Let k be v(3). Factor 6*u**2 - u**2 - 20*u**4 + 0*u**2 + 8*u**3 + k*u**3.
-5*u**2*(u - 1)*(4*u + 1)
Let i = 1313/2 + -2623/4. Find y, given that -1/2 + i*y + 3/4*y**4 + 3/4*y**2 - 7/4*y**3 = 0.
-2/3, 1
Let w(s) be the second derivative of 0 - 4*s**3 + 4*s + 1/6*s**4 + 36*s**2. Let w(z) = 0. What is z?
6
Suppose -3*i - 15 = -3*m + 7*m, -4*m + 4*i - 8 = 0. Let q = m + 5. Determine g, given that 2*g**2 - g**2 + 2*g - q*g**3 + 2*g**2 + 3*g**3 = 0.
-2, -1, 0
Let y(w) be the second derivative of 1/40*w**5 + 10*w + 1/24*w**4 - 1/6*w**3 + 0*w**2 + 0. Factor y(s).
s*(s - 1)*(s + 2)/2
Factor -35*m**2 + 111 + 127 - 198 - 130*m.
-5*(m + 4)*(7*m - 2)
Let h(p) = -p**3 - 5*p**2 - 7*p - 4. Let i be h(-4). Let d = 14 - i. Factor g**2 - g**3 - 5*g**2 + d*g**2.
-g**2*(g - 2)
Let h(w) = -w**2 + 12*w - 28. Let a be h(8). What is m in 0*m**4 - 2*m**4 - a*m**2 - 6*m**3 - 3*m**3 + 3*m**3 = 0?
-2, -1, 0
Let n be -1*(-86)/(-20) + (-10260)/(-2280). Factor -n + 1/5*y**4 + 0*y**2 - 2/5*y + 2/5*y**3.
(y - 1)*(y + 1)**3/5
Let b = 272 + -265. Let g(v) = -3*v**3 - v - 1. Let i be g(-1). Factor -3*h**3 - i*h**3 + h**5 + 3*h**4 + b*h**3 - h**4.
h**3*(h + 1)**2
Suppose -3*v = 4*s - 45, 0*v + 2*v = 3*s - 38. Suppose -3*c = n - c + 8, -2*c = -n + s. Let 60*t**2 + n*t**3 - 5*t**3 - 66*t**2 = 0. What is t?
-2, 0
Let x(k) = -17*k**2 - 92*k + 91. Let n(d) = 24*d**2 + 93*d - 90. Let s(o) = -2*n(o) - 3*x(o). Factor s(u).
3*(u - 1)*(u + 31)
Let g = 6