+ 2*w**4 - 4*w**2 + w. Let v(y) = -3*y**5 - 6*y**4 - 4*y + 0*y + 13*y**2 + 7*y**5. Let h = 1 + 6. Let d(n) = h*p(n) + 2*v(n). Factor d(k).
k*(k - 1)*(k + 1)**3
Let x(b) be the first derivative of -2*b**6/3 - 4*b**5 - 9*b**4 - 28*b**3/3 - 4*b**2 - 67. What is m in x(m) = 0?
-2, -1, 0
Suppose 5*y - 2*f = y, 2*y - 24 = -5*f. Factor 0*z**y + z**2 - 4*z**2 + 3*z.
-3*z*(z - 1)
Let u(y) = -y**5 + y. Let s(l) = 2*l**5 + 7*l**4 - 11*l**3 + 5*l**2 - 3*l. Let g(j) = -s(j) - 3*u(j). Suppose g(p) = 0. What is p?
0, 1, 5
Let 2160*j + 14400*j**2 + 167 + 32000*j**3 - 50 - 9 = 0. What is j?
-3/20
Let 5/2*j**4 + 0 + 0*j + 65/2*j**2 + 35*j**3 = 0. What is j?
-13, -1, 0
Let h(n) = -3 - 110*n - 6*n**2 + 3*n**2 + 107*n. Let g(t) = -t**3 - t**2 - 1. Let d(k) = -3*g(k) + h(k). Solve d(j) = 0 for j.
-1, 0, 1
Let y(u) be the third derivative of 4*u**7/315 + u**6/90 - 17*u**5/45 + 7*u**4/9 + u**2 - 125. Suppose y(m) = 0. What is m?
-7/2, 0, 1, 2
Let d(q) be the third derivative of -q**5/150 - 3*q**4/10 - 17*q**3/15 - 40*q**2 + 2. Suppose d(z) = 0. Calculate z.
-17, -1
Suppose -4*l = 5*d + l + 10, -4*d - l = -4. Let b = -77 + 79. Factor -t**3 - t**3 + t**4 + 10*t**d - 9*t**b.
t**2*(t - 1)**2
Let a(v) = 68*v. Let t be a(1). Factor -q + q**3 - t*q**2 + 68*q**2.
q*(q - 1)*(q + 1)
Let c(x) be the second derivative of -x**7/90 - x**6/90 - 6*x**2 + x. Let j(f) be the first derivative of c(f). Find i such that j(i) = 0.
-4/7, 0
Suppose 19 = 2*b + 3*r, -3*b - b - 3*r = -23. Let u(l) be the third derivative of 0 + 1/60*l**6 - 1/30*l**5 + 0*l + 7*l**b + 0*l**4 + 0*l**3. Factor u(j).
2*j**2*(j - 1)
Let b be (-2960)/(-50)*(-4 - 1). Let o = 2076/7 + b. Solve -o*x + 0 + 2/7*x**2 = 0 for x.
0, 2
Let g = 11/38 - 7/57. Let l(w) be the third derivative of -11*w**2 + 8/3*w**3 + 4/3*w**4 - 7/15*w**5 - g*w**6 + 0 + 0*w. Factor l(b).
-4*(b - 1)*(b + 2)*(5*b + 2)
Let x = 6177 - 43215/7. Factor x - 4/7*r**2 - 20/7*r.
-4*(r - 1)*(r + 6)/7
Let u = -2/527 + 2641/1581. Let i(l) be the second derivative of -8*l - u*l**3 + 0 + 9/10*l**5 - 1/2*l**4 - l**2. Let i(z) = 0. Calculate z.
-1/3, 1
Let l(o) = o**2 + 2*o + 3. Let r be l(-2). Solve 0*w - 3*w - 29*w**5 + 4*w**r + 27*w**5 + w = 0.
-1, 0, 1
Factor -3/8*x**3 + 93/8*x - 3*x**2 - 33/4.
-3*(x - 2)*(x - 1)*(x + 11)/8
Suppose 5 + 3807*z**2 - 5 - 2*z**3 - 3795*z**2 + 32*z = 0. Calculate z.
-2, 0, 8
Suppose 5*b = p - 55, p = -b + 40 - 3. Suppose 0*v + 5*v - p = 0. Let v - h**5 - 12*h + 2*h**5 - h**2 - 9*h**2 + 27*h**3 - 16*h**4 + 2*h**5 = 0. Calculate h.
-2/3, 1, 2
Suppose -9 + 25 = 2*f. Let l(j) = j**2 - 6*j - 12. Let t be l(f). Factor 0*v**2 + 0 + 0*v + 2/9*v**3 + 0*v**t - 2/9*v**5.
-2*v**3*(v - 1)*(v + 1)/9
Let p be -83*(4 - (0 - -2)). Let h = 335/2 + p. Factor 1/2*z**2 + 0 + h*z.
z*(z + 3)/2
Let o = 2 - -4. Suppose -2*b - 5*x + o = 0, 0*b + 6 = 2*b + 2*x. Find m such that -9/2 + b*m - 1/2*m**2 = 0.
3
Suppose -2 = -l - 0. Suppose -l*u + 8 = -6*y + y, -2*y = 5*u - 20. Factor 2 - 6*o**4 - 9*o - 4*o**2 + 8*o**2 + 2*o**5 + 3*o + u*o**3.
2*(o - 1)**4*(o + 1)
Suppose 4*s - 8 = 2*q, 0 = 2*s + 1 - 9. Factor q*u**2 - 2/5*u - 8/5 + 14/5*u**3.
2*(u + 1)**2*(7*u - 4)/5
Let l(i) = -5*i**2 - 156*i - 5468. Let z(p) = 14*p**2 + 466*p + 16406. Let h(b) = 11*l(b) + 4*z(b). Factor h(y).
(y + 74)**2
Let u = 2038/995 - 328/199. Factor 128/5 + u*x**2 - 32/5*x.
2*(x - 8)**2/5
Let t(l) be the third derivative of l**7/525 + l**6/30 + 29*l**5/150 + 8*l**4/15 + 4*l**3/5 - 3*l**2 - 20. What is n in t(n) = 0?
-6, -2, -1
Let s(g) be the first derivative of -g**4/28 - 2*g**3/7 - 9*g**2/14 - 4*g/7 - 421. Let s(m) = 0. What is m?
-4, -1
Let m(t) be the third derivative of 2*t + 0*t**3 - 1/560*t**7 + 0 + 1/160*t**5 - 30*t**2 + 1/320*t**6 - 1/64*t**4. Determine d, given that m(d) = 0.
-1, 0, 1
Let b(a) = a**2 - 13*a - 146. Let i(o) = -2*o**2 + 6*o + 148. Let r(j) = 4*b(j) + 3*i(j). Factor r(k).
-2*(k + 7)*(k + 10)
Let d(x) be the first derivative of -x**3/2 - 3*x**2 - 6*x - 10. Factor d(z).
-3*(z + 2)**2/2
Determine q, given that 5 + 402*q - 22*q**2 - 108*q**2 - 402*q**3 + 122 + 14*q**4 - 11 = 0.
-1, -2/7, 1, 29
Let o(s) be the third derivative of 2*s**8/21 + 82*s**7/105 + 77*s**6/30 + 13*s**5/3 + 23*s**4/6 + 4*s**3/3 + s**2 + 16*s. Solve o(b) = 0.
-2, -1, -1/8
Suppose 6*r - 11*r = 3*y - 12, -5*r + y = 4. Let j(g) be the first derivative of 0*g**2 + r*g - 1/6*g**4 - 4/9*g**3 + 5. Determine m, given that j(m) = 0.
-2, 0
Let z be 6 - (7 + (-4)/1). Let w(f) be the first derivative of 0*f + 3/2*f**2 - f**z + 5. Determine p so that w(p) = 0.
0, 1
Factor 8*i - 855*i**2 - 852*i**2 - 6 + 1705*i**2.
-2*(i - 3)*(i - 1)
Suppose -48 = -10*r - 8. Factor 0*f**r - 2/5*f**5 + 0 + 4/5*f**3 - 2/5*f + 0*f**2.
-2*f*(f - 1)**2*(f + 1)**2/5
Determine n, given that 0 - 3/4*n - 3*n**4 - 3*n**2 - 3/4*n**5 - 9/2*n**3 = 0.
-1, 0
Factor 16*n - 2/7*n**2 - 224.
-2*(n - 28)**2/7
Let y(g) = -4*g - 8*g + 1 - g**3 + 11*g. Let i(c) = 4879681*c**4 - 830573*c**3 + 53016*c**2 - 1493*c + 5. Let o(p) = 2*i(p) + 22*y(p). Factor o(w).
2*(47*w - 2)**4
Let o be ((-1)/(-1))/(133/38). Suppose -4*r + 13 = -3*r - 5*c, 4*c + 20 = 4*r. Factor 0*g - 6/7*g**2 - o*g**r + 8/7.
-2*(g - 1)*(g + 2)**2/7
Let q(y) be the third derivative of y**7/1680 - y**6/480 + 9*y**4/8 + 17*y**2 + y. Let p(v) be the second derivative of q(v). Factor p(s).
3*s*(s - 1)/2
Suppose -4*g + 13 + 3 = -2*a, -3*g = -5*a - 61. Let x be (1 - a)*20/30. Factor j - j**2 + 21*j**3 + 4*j - x*j - 4 - 11*j.
(j - 1)*(3*j + 2)*(7*j + 2)
Let a(z) be the second derivative of z**5/70 - 2*z**4/7 + 15*z**3/7 - 54*z**2/7 + 58*z - 1. Factor a(g).
2*(g - 6)*(g - 3)**2/7
Let 0*g**3 + 0 + 0*g**2 + 0*g + 3/4*g**4 + 1/4*g**5 = 0. What is g?
-3, 0
Let b(n) be the first derivative of 1/3*n**3 + n - 16 - n**2. Factor b(o).
(o - 1)**2
Let z(m) = m**3 - 5*m**2 - 5*m - 6. Let y be z(6). Let i be (1 + y)*(22/4 - 5). Determine a so that 2*a + 2*a**2 + i*a**3 + 0 = 0.
-2, 0
Let m = 36 + -33. Let y = -119204/11 - -10852. Find w such that -202/11*w**m + 2*w + y*w**4 - 4/11 + 16/11*w**2 = 0.
-1/3, 1/4, 2/7, 1
Let l = -31/24 - -2089/1608. Let t = 533/402 + l. Suppose t*o**3 + 0*o**4 - 2/3*o**5 - 2/3*o + 0 + 0*o**2 = 0. What is o?
-1, 0, 1
Let m(g) = -257 - 310 - 189*g**2 + 15*g**3 + 9*g - 576*g. Let c(o) = -4*o**3 + 54*o**2 + 162*o + 162. Let l(r) = 18*c(r) + 5*m(r). Factor l(j).
3*(j + 3)**3
Suppose -30*l = -28*l. Let o(x) = -x**2 - 2*x + 43. Let v be o(l). Suppose 4/7 + 769/7*h**3 + 8*h + 400/7*h**5 + v*h**2 + 920/7*h**4 = 0. Calculate h.
-1, -2/5, -1/4
Suppose 2*d = 6*d. Solve -20*n**4 + 2*n**5 + 68*n**2 + 2*n**2 + 5*n**3 - 100*n + 40 + d*n**5 + 3*n**5 = 0.
-2, 1, 2
Suppose 24 - 8 = 4*x. Determine h so that -27*h**2 - 44*h**3 - h**4 + 6*h**3 - 4 - 26*h**2 - 8*h**x - 28*h = 0.
-2, -1, -2/9
Let r(t) be the second derivative of t**7/42 - 11*t**6/120 - 7*t**5/20 + 19*t**4/24 + 4*t**3 + 45*t**2/8 + 218*t. Find c, given that r(c) = 0.
-5/4, -1, 3
Let d be ((-3)/20*-2)/((-2)/4)*-5. Let -6/5 + 22/15*r**2 + 4/15*r**4 - 22/15*r**d + 2*r = 0. What is r?
-1, 1/2, 3
Let l = 43/80 - 11/80. Factor 0 + l*y + 0*y**2 + 0*y**4 - 4/5*y**3 + 2/5*y**5.
2*y*(y - 1)**2*(y + 1)**2/5
Let i(s) be the first derivative of -s**3/7 + 60*s**2/7 - 266. Factor i(n).
-3*n*(n - 40)/7
Solve 3 - 3 + 1150*g**2 + 4*g**3 - 1138*g**2 = 0 for g.
-3, 0
Let j(w) be the second derivative of 2*w**5/5 + 7*w**4/3 - 14*w**3/3 - 24*w**2 - 79*w. Factor j(r).
4*(r + 1)*(r + 4)*(2*r - 3)
Let s be 6/(-10) + (-1794)/(-315) + (-41 - -36). What is d in 4/21*d**2 - 2/21 + s*d = 0?
-1, 1/2
Suppose 7*t - 305 = 220. Let r = 77 - t. Factor -2/5 + 2/5*j**r + 2/5*j**3 - 2/5*j.
2*(j - 1)*(j + 1)**2/5
Let i(h) be the second derivative of -h**7/1260 - h**6/180 + 3*h**4/4 + 14*h. Let n(m) be the third derivative of i(m). Factor n(y).
-2*y*(y + 2)
Let r be ((-2)/(-5))/(-1 + (-33)/(-30)). Find x such that 40/9*x**3 + 80/3*x + 16 + 148/9*x**2 + 4/9*x**r = 0.
-3, -2
Suppose -243*g**2 + 3*g**4 + 9*g**3 + 122*g**2 + 121*g**2 = 0. Calculate g.
-3, 0
Determine z, given that -4/5 - 6/5*z**3 + 2/5*z**2 + 2/5*z**4 + 6/5*z = 0.
-1, 1, 2
Let p(i) be the third derivative of i**7/630 + i**6/90 - 7*i**5/45 - 20*i**4/9 - 32*i**3/3 - 121*i**2. Determine g, given that p(g) = 0.
-4, -2, 6
Let k(w) be the second derivative of w**6/30 - 7*w**5/15 - 4*w**4/3 - 26*w**2 + 37*w. Let y(o) 