actor -34/9*l**2 - d*l - x*l**3 + 0.
-2*l*(l + 1)*(15*l + 2)/9
Let g = -580527 - -580529. Let l = 2/21 - -17/42. Find b, given that -4 - 6*b - 3*b**g - l*b**3 = 0.
-2
Let q(x) be the first derivative of x**6/16 + 9*x**5/40 + x**4/8 + 104*x - 44. Let v(a) be the first derivative of q(a). Suppose v(d) = 0. Calculate d.
-2, -2/5, 0
Let l be (-1)/47*(-6 - (-3)/1). Let y = l - -108/517. Determine k, given that -y*k**4 - 2/11*k + 1/11*k**2 + 4/11*k**3 + 0 = 0.
-2/3, 0, 1
Let w(d) be the first derivative of 3*d**4/32 + 6*d**3 + 135*d**2/16 - 141*d/4 - 2260. Factor w(r).
3*(r - 1)*(r + 2)*(r + 47)/8
Suppose 22*p + 18 = 28*p. Factor 2*k**4 - 4*k**4 + 370*k**3 - 186*k**3 - 194*k**p.
-2*k**3*(k + 5)
Let t(a) be the first derivative of 5*a**4/12 + 35*a**3/3 + 65*a**2/2 + 101*a + 103. Let v(i) be the first derivative of t(i). Factor v(h).
5*(h + 1)*(h + 13)
Factor -36*i**2 - 3/5*i**3 - 348/5*i + 0.
-3*i*(i + 2)*(i + 58)/5
Let z(t) be the second derivative of t**5/120 - 877*t**4/36 - 4864*t. Solve z(o) = 0.
0, 1754
Let k(g) be the third derivative of 0*g + 1/12*g**5 - 25/24*g**4 + 1 - 47*g**2 - 35/3*g**3. Factor k(h).
5*(h - 7)*(h + 2)
Let u(z) be the second derivative of z**7/126 - 7*z**6/45 + 23*z**5/60 + 7*z**4/18 - 4*z**3/3 - 7*z + 23. Determine i, given that u(i) = 0.
-1, 0, 1, 2, 12
Solve -3*q + 1119 + 1797*q**3 - 3357*q**2 + 450*q**3 - 888*q**4 + 882*q**4 = 0 for q.
-1/2, 1, 373
Let z(a) be the third derivative of -a**7/2520 - 7*a**6/3600 - a**5/300 - 4*a**4/3 + 25*a**2. Let q(d) be the second derivative of z(d). Solve q(n) = 0 for n.
-1, -2/5
Let l(a) = 2*a**2 - 8*a - 67. Let x be l(8). Let m be ((-18)/(-81)*x)/(-1). Let 2/3 + 2/9*i**3 - 2/9*i - m*i**2 = 0. What is i?
-1, 1, 3
Let a(f) be the first derivative of 0*f - 1/2*f**6 + 21/2*f**4 + 81/2*f**2 - 24/5*f**5 + 48*f**3 - 209. Let a(b) = 0. What is b?
-9, -1, 0, 3
Let y(g) be the first derivative of -12/7*g**2 + 105 - 9/28*g**4 + 36/7*g - 13/7*g**3. Factor y(k).
-3*(k + 2)*(k + 3)*(3*k - 2)/7
Let g(h) be the second derivative of -h**6/6 + h**5 + 5*h**4/4 - 15*h**3 - 714*h + 3. Factor g(a).
-5*a*(a - 3)**2*(a + 2)
Let a = 135205 + -2028059/15. Suppose 4/5*w - 2/15*w**3 - 2/5*w**2 + a = 0. What is w?
-4, -1, 2
Suppose 5*n + 15 = 5*l, -2*l + 3*n + 16 = 2*l. Let 5*h**5 - 54*h**3 + 59*h**3 - 10*h + 15*h**4 + l*h**2 - 7*h**2 - 15*h**2 = 0. What is h?
-2, -1, 0, 1
Suppose 16*j - 7*j = 15921. Let v = -1767 + j. Suppose 16/5 - 2/5*r**v + 4/5*r = 0. Calculate r.
-2, 4
Let z(u) be the third derivative of u**5/140 + 157*u**4/56 + 380*u**3/7 - 2*u**2 - 35*u + 2. Factor z(s).
3*(s + 5)*(s + 152)/7
Let t = -429 + 459. Let y be 33/110 - (-41)/t. Factor r**2 - 4/3 + 1/3*r**4 - 5/3*r**3 + y*r.
(r - 4)*(r - 1)**2*(r + 1)/3
Let y(u) be the second derivative of u**6/105 + 2*u**5/105 - u**4/18 - 4*u**3/63 + 4*u**2/21 + 348*u. What is h in y(h) = 0?
-2, -1, 2/3, 1
Let g(c) = 5*c**3 + 56*c**2 + 79*c + 7. Let t(f) = 2*f**2 - 2*f - 1. Let q(b) = g(b) + 7*t(b). Factor q(o).
5*o*(o + 1)*(o + 13)
Let w(s) = 3*s**3 + 59*s**2 - 584*s - 686. Let x(a) = -21*a**3 - 393*a**2 + 4086*a + 4803. Let n(h) = -15*w(h) - 2*x(h). Factor n(u).
-3*(u - 6)*(u + 1)*(u + 38)
Let g = -2179838/5 - -435968. Solve -g*n**3 + 18/5*n + 0*n**2 + 0 = 0 for n.
-3, 0, 3
Let z(w) be the third derivative of 2*w**7/231 - 19*w**6/660 - 3*w**5/110 + 4*w**4/33 - 4*w**3/33 + 2*w**2 - 803*w. Determine i, given that z(i) = 0.
-1, 2/5, 1/2, 2
Suppose -f = 2*l - 7, 19*l = 20*l - 3*f. Let a(x) be the third derivative of -12*x**2 - 1/80*x**5 - 1/2*x**l + 1/8*x**4 + 0*x + 0. Factor a(q).
-3*(q - 2)**2/4
Suppose 12 - 8 = 2*a. Factor -210*c**3 - 24*c**4 + 117*c**4 + 5*c**4 + 144*c**a - 32*c.
2*c*(c - 1)*(7*c - 4)**2
Let m(y) be the third derivative of 5*y**6/24 + 43*y**5/12 + 235*y**4/12 + 140*y**3/3 + 21*y**2 - 7*y - 1. Suppose m(k) = 0. Calculate k.
-28/5, -2, -1
Let h(k) be the third derivative of -k**5/20 + 3*k**4/2 - 10*k**3 - 24*k**2 + 19*k. Suppose h(i) = 0. Calculate i.
2, 10
Factor -27/5*b**4 + 672/5*b - 732/5*b**2 + 252/5*b**3 - 192/5.
-3*(b - 4)**2*(3*b - 2)**2/5
Factor 4/5*j**4 + 0 + 12*j - 68/5*j**2 + 4/5*j**3.
4*j*(j - 3)*(j - 1)*(j + 5)/5
Let p(i) be the second derivative of -155/18*i**3 - 25/3*i**2 - 13/12*i**5 + 0 - 1/18*i**6 + 46*i - 55/12*i**4. Suppose p(f) = 0. Calculate f.
-10, -1
Let o(d) be the first derivative of -72*d + 140/3*d**3 - 106*d**2 - 22. Factor o(c).
4*(5*c - 9)*(7*c + 2)
Let p(r) be the first derivative of 2*r**3/15 - 3*r**2/5 - 108*r/5 - 427. What is n in p(n) = 0?
-6, 9
Let h be 728/5460 + 11/30. Factor -3/2 - h*r**2 - 2*r.
-(r + 1)*(r + 3)/2
Let o(j) be the first derivative of j**6/2 + 3*j**5/5 - 39*j**4/4 - 25*j**3 - 18*j**2 + 129. Determine k, given that o(k) = 0.
-3, -1, 0, 4
Factor 1/7*z**4 + 155/7*z - 51/7*z**3 - 102/7 - 3/7*z**2.
(z - 51)*(z - 1)**2*(z + 2)/7
Let o be 6/8 - (6 + 107985/60). Let d = -3543/2 - o. Let d*u**2 + 9/2 + 2*u**4 - 29/2*u**3 - 51/2*u = 0. What is u?
1/4, 1, 3
Let c(m) be the second derivative of -11*m**6/60 - 21*m**5/10 - 69*m**4/8 - 103*m**3/6 - 18*m**2 + m + 817. Determine f, given that c(f) = 0.
-4, -18/11, -1
Suppose 3*l = -13 + 19. Suppose 0 = -l*r + r - 3*u + 6, 3*u = r. Factor -105 + 103 - i**2 + r*i + 0*i.
-(i - 2)*(i - 1)
Let i = 78404 + -545778/7. Let r = 436 - i. Factor 4/7*a**3 - 6/7*a**4 + 4/7*a**2 - 6/7*a + 2/7 + r*a**5.
2*(a - 1)**4*(a + 1)/7
Let h be (88 - 4)*72/14. Suppose 881*o**2 - 476 - 147*o**3 - 1104*o - h - 442 + 1194 - 2876*o**2 = 0. What is o?
-13, -2/7
Let p be (4/((-80)/15))/(11 - (-405)/(-36)). Let q(n) be the third derivative of 27*n**2 - 5*n**p + 0 + 1/12*n**5 - 25/24*n**4 + 0*n. Factor q(x).
5*(x - 6)*(x + 1)
Let y(i) = i**2 + 50*i + 41. Suppose -18*m = -14*m - 16. Let c(u) = u**2 + 98*u + 83. Let z(b) = m*c(b) - 7*y(b). Factor z(s).
-3*(s - 15)*(s + 1)
Let n = 2489/60 - 819/20. Let h(g) be the second derivative of 12*g + 0*g**2 - 2/15*g**4 + 0 + 1/25*g**5 - n*g**3 + 1/75*g**6. Factor h(z).
2*z*(z - 2)*(z + 2)**2/5
Let o(n) = 2*n**2 - 13*n + 23. Let a be o(2). Factor -8*z + 21*z + 5*z**a - 10*z**3 - 8*z.
5*z*(z - 1)**2*(z + 1)**2
Let x(t) be the second derivative of 5*t**7/42 + t**6/3 - 3*t**5/4 - 10*t**4/3 - 10*t**3/3 + 1496*t. Find w, given that x(w) = 0.
-2, -1, 0, 2
Let c(f) = 3*f**3 + 2*f - 3. Let u be c(1). Let p be u/(186/45 - 4). Solve 4*x**3 + 11*x**2 - 2*x**3 - 6*x**3 - p*x**2 = 0.
-1, 0
Solve 59858/3 - 1/6*k**3 - 691/6*k**2 - 59512/3*k = 0.
-346, 1
Suppose 1/4*s**3 + 25/2*s + 8 + 19/4*s**2 = 0. What is s?
-16, -2, -1
Let d be -13 - -26 - (-735)/(-70). Determine g, given that d*g - 1/2*g**2 - 2 = 0.
1, 4
Let w(g) be the second derivative of 2/9*g**4 + 5/9*g**3 - 1/6*g**5 - 20 - 1/10*g**6 - g + 1/6*g**2. What is x in w(x) = 0?
-1, -1/9, 1
Suppose -2*b - 4*d = -5*d + 512, 5*b = 4*d - 1280. Let i = 259 + b. Solve -12/5*t**4 - 12/5*t**i - 4/5*t**2 + 0*t - 4/5*t**5 + 0 = 0 for t.
-1, 0
Let v(t) be the third derivative of 108*t**3 - 16*t + 0 + 2*t**2 + 3*t**4 + 1/30*t**5. Factor v(g).
2*(g + 18)**2
Find b, given that 24/7 - 16/7*b - 30/7*b**2 + 12/7*b**3 + 10/7*b**4 = 0.
-2, -6/5, 1
Let q(k) = 2*k**2 + 14*k - 36. Let p be q(-9). Let o(x) be the third derivative of -3*x**2 + 0*x + p*x**4 + 0*x**3 + 1/180*x**5 + 0. Factor o(i).
i**2/3
Let l(r) be the third derivative of -r**8/336 + 3*r**7/35 - 59*r**6/120 - 109*r**5/30 + 5*r**4/2 + 100*r**3/3 - 595*r**2. Find i, given that l(i) = 0.
-2, -1, 1, 10
Let l(i) be the first derivative of -i**6/14 + 129*i**5/35 - 1317*i**4/28 - 527*i**3/7 + 660*i**2/7 + 1452*i/7 + 2050. What is m in l(m) = 0?
-1, 1, 22
Let m = -43215 + 43221. Let i(o) be the first derivative of 2*o**5 - 6 - 5/6*o**m + 5*o**4 - 10/3*o**3 - 15/2*o**2 + 0*o. Suppose i(j) = 0. Calculate j.
-1, 0, 1, 3
Let 14*u**2 - 50*u - 108*u - 336 - 18*u + 7*u**2 - 25*u**2 = 0. What is u?
-42, -2
Let q(f) = 19*f**2 + 104*f + 47. Let k be q(-5). Solve -116/9*x**3 + 194/9*x**4 + 0 + 0*x + 16/9*x**k + 56/9*x**5 = 0 for x.
-4, 0, 1/4, 2/7
Let v(l) = -3*l**3 - l**2 - 2*l. Let a be v(0). Factor -15*g - 1 + 5 + a - 14 + 25*g**2.
5*(g - 1)*(5*g + 2)
Let v(d) be the third derivative of 2*d**7/105 - 928*d**6/15 + 430592*d**5/5 - 199794688*d**4/3 + 92704735232*d**3/3 + 820*d**2. Factor v(n).
4*(n - 464)**4
Determine u so that -4460/3*u - 8935/3*u**4 + 994580/3 + 2002540/3*u**3 - 298373