086630. Determine l, given that 6/7*l - 3/7*l**2 + z = 0.
-4, 6
Factor 201*a**2 + 30 - 321*a**2 + 138*a**2 + 46*a + 2*a**3.
2*(a + 1)*(a + 3)*(a + 5)
Let f(q) be the third derivative of -q**6/360 - 419*q**5/180 + 841*q**4/72 - 421*q**3/18 + 233*q**2. Suppose f(t) = 0. Calculate t.
-421, 1
Let z(i) = -11*i**2 - 12*i - 26. Let b be z(-4). Let t = -108 - b. Determine q, given that -2*q**3 + t*q + 6*q**3 + 0*q**3 - 50*q = 0.
-1, 0, 1
Suppose -3 = -2*j + 1. Let p(y) = y**2 + 1. Let c be p(j). Solve 6*i**5 - 2*i**5 - i**4 - 2*i**5 - 3*i**c = 0 for i.
-1, 0
Let u(a) = -39*a**5 - 6*a**4 - 2*a**3 + 2*a - 20. Let p(g) = -g**3 + g - 10. Let j(r) = 2*p(r) - u(r). Solve j(d) = 0 for d.
-2/13, 0
Let q(d) = 29*d - 94. Let r be q(3). Let g be (1/(-1))/(5 + r). Let 1/4 - g*p**2 + 1/4*p**4 + 0*p**3 + 0*p = 0. What is p?
-1, 1
Let t(i) be the second derivative of -i**8/336 - i**7/210 + i**6/60 + 54*i**2 - 8*i - 4. Let p(f) be the first derivative of t(f). Factor p(s).
-s**3*(s - 1)*(s + 2)
Suppose -108*v**4 + 29*v**4 - 73*v**4 + 7584*v - 4*v**5 - 2784*v - 1268*v**3 + 3680*v**2 = 0. What is v?
-20, -1, 0, 3
Find l, given that 15*l**5 + 12*l**5 + 29*l**3 + 8*l**5 + 16*l**3 - 60*l - 10*l**5 - 90*l**4 + 100*l**2 = 0.
-1, 0, 3/5, 2
Factor i**3 + 271 + 77 + 39*i**2 - i**4 - 265*i + 4*i**3 + 2 + 0*i**3.
-(i - 5)**2*(i - 2)*(i + 7)
Suppose 2*o + 202 = 2*t, -4*o + t - 276 = 134. Let s = 103 + o. Suppose 2/7*u**5 - 2/7*u**3 - 2/7*u**4 + s + 0*u + 2/7*u**2 = 0. What is u?
-1, 0, 1
Suppose -134*f + 2455 + 2*f**2 - 2433 - 12*f**4 - 12*f**2 + 134*f**3 = 0. What is f?
-1, 1/6, 1, 11
Let u be -7 - (27/576*8 - 5104/640). Determine a, given that 6/5*a**2 - 9/5*a**3 + 0 + 0*a + u*a**4 = 0.
0, 1, 2
Suppose -29 + 173 = 36*n. Suppose 12*k**3 - k + 16*k**n - 9*k - 3*k + 4*k**5 + 0*k**5 - 16*k**2 - 3*k = 0. What is k?
-2, -1, 0, 1
Let t(d) be the first derivative of -d**6/90 - 19*d**5/30 - 3*d**4 - 2*d**3/3 + d**2 - 102. Let n(w) be the third derivative of t(w). Factor n(s).
-4*(s + 1)*(s + 18)
Suppose -2/5*j**4 - 156/5*j**3 + 0*j - 3042/5*j**2 + 0 = 0. Calculate j.
-39, 0
Factor -6561/8*c + 135/4*c**3 + 3/8*c**5 - 19683/8 - 63/8*c**4 + 729/4*c**2.
3*(c - 9)**3*(c + 3)**2/8
Let f(h) be the third derivative of -h**8/840 + 32*h**7/525 + 3*h**6/25 - 49*h**5/75 - 7*h**4/12 + 22*h**3/5 + 2*h**2 + 5*h + 45. Suppose f(r) = 0. What is r?
-2, -1, 1, 33
Let i(v) = 22*v**2 - 850*v + 882. Let s(r) = -18*r**2 + 855*r - 882. Let k(b) = -5*i(b) - 6*s(b). Factor k(f).
-2*(f - 1)*(f + 441)
Let r = 58 - 60. Let y be 7/35*21 + 2/r. Let 2*m**3 - 12/5*m**2 - 2/5*m**4 - 8/5*m + y = 0. Calculate m.
-1, 2
Suppose -48/11 - 260/11*h - 62/11*h**2 = 0. Calculate h.
-4, -6/31
Let w(d) be the first derivative of 9*d**5/10 + 15*d**4/8 - 125*d**3/2 - 255*d**2/4 + 63*d + 2623. Solve w(v) = 0.
-7, -1, 1/3, 6
Let n(s) be the first derivative of -1/48*s**4 - 1/6*s**3 + 5/8*s**2 + 18 + 25*s. Let u(z) be the first derivative of n(z). Factor u(p).
-(p - 1)*(p + 5)/4
Suppose -198*s - 5068 = -184*s. Let k = -360 - s. Let 2 - k*h + 1/2*h**2 = 0. Calculate h.
2
Suppose 23762/3 + 218/3*j + 1/6*j**2 = 0. What is j?
-218
Let v(i) be the first derivative of i**3/12 - 45*i**2 + 359*i/4 + 1402. Factor v(t).
(t - 359)*(t - 1)/4
Let k(s) be the third derivative of 113*s**5/240 + 229*s**4/96 + s**3/4 - 3*s**2 - 71. Factor k(m).
(m + 2)*(113*m + 3)/4
Let h(n) be the second derivative of n**6/12 - n**5/10 - n**4 - 4*n**3/3 + 100*n**2 + 10*n + 8. Let w(f) be the first derivative of h(f). Factor w(i).
2*(i - 2)*(i + 1)*(5*i + 2)
Let k(h) = -2*h + 14 + h + 3*h**2 - 4*h - 4*h. Let r be k(7). Factor -55*c + 2*c**2 - 51*c + 8 + r*c.
2*(c - 2)**2
Suppose -5*l = -5*c - 770, -4*l + 7*c - 4*c + 616 = 0. Factor 5*w + 149*w**3 + 5*w**4 + 5 + 5 - l*w**3 - 15*w**2.
5*(w - 2)*(w - 1)*(w + 1)**2
Let a(i) be the third derivative of 0*i - 1/132*i**4 + 0 + 1/55*i**5 + 151*i**2 + 1/660*i**6 - 2/11*i**3. Factor a(y).
2*(y - 1)*(y + 1)*(y + 6)/11
Let u(b) = -b**3 - 7*b**2 - b + 1. Let m be u(-7). Let r be (44/m - 5)*0. Find o, given that o**2 + 0*o**3 - 2/3*o - 1/3*o**4 + r = 0.
-2, 0, 1
Suppose -z**3 + 53 - 12647*z - 6*z**2 - 53 + 12687*z = 0. What is z?
-10, 0, 4
Let z(n) be the third derivative of -n**8/1512 + 2*n**7/189 + 17*n**6/180 + 34*n**5/135 + 7*n**4/27 - 546*n**2. Let z(o) = 0. What is o?
-2, -1, 0, 14
Let d(j) = -j**2 + 3*j + 2. Let s be d(2). Suppose 0 = 2*c - 3*i, -2 = -c + 3*c - s*i. Factor -3/4*p**c + 0 + 3*p + 0*p**2.
-3*p*(p - 2)*(p + 2)/4
Factor -174*b**3 + 0*b**4 - 18*b - 3*b**2 + 3*b**4 - 3*b + 195*b**3.
3*b*(b - 1)*(b + 1)*(b + 7)
Find n, given that -150/13*n - 2/13*n**3 - 6*n**2 - 74/13 = 0.
-37, -1
Let f be ((-114)/(-9))/(-1)*(-3 + 0). Let u = -38 + f. Suppose 4*a**3 - 2*a - 2*a + u*a = 0. What is a?
-1, 0, 1
Let z = -37 - -41. Factor -x**3 + z*x**3 + 1248*x**2 + 9408 - 1581*x**2 + 9072*x.
3*(x - 56)**2*(x + 1)
Suppose 4 + 60 = 8*u. Suppose u = -3*v + 7*v. Determine d so that 6*d - 6 + 2*d + 3 - 4*d - d**v = 0.
1, 3
Suppose -8*m = 6*m. Suppose 2*p - f - 8 = 0, -2*p + 7*p - 2*f - 19 = m. Factor 0*g + 0 + 1/4*g**2 + 1/4*g**4 - 1/2*g**p.
g**2*(g - 1)**2/4
Let x = 3833/7540 + -22/377. Let u(k) be the second derivative of 0*k**2 + 1/2*k**3 + 0 - 1/10*k**6 + x*k**5 - 9*k - 3/4*k**4. Factor u(b).
-3*b*(b - 1)**3
Factor -1172184*z - 1326*z**2 - 345403552 - 1/2*z**3.
-(z + 884)**3/2
Let c(v) be the second derivative of 31 - 3*v + 0*v**2 - 29/30*v**5 + 1/5*v**6 - 1/63*v**7 - 2*v**3 + 13/6*v**4. Solve c(n) = 0 for n.
0, 1, 2, 3
Solve 22/7*b**2 + 2/7*b**5 - 16/7 - 2*b**3 + 12/7*b - 6/7*b**4 = 0 for b.
-2, -1, 1, 4
Factor 1/7*a**3 - 448 + 432*a + 111/7*a**2.
(a - 1)*(a + 56)**2/7
Factor -962567392 + 1289876*z + 1174082*z - 7464*z**2 + 4*z**3 + 2178650*z.
4*(z - 622)**3
Let n = 2863/2 - 1431. Let f(c) be the first derivative of -n*c**2 + 63/10*c**5 + 0*c - 109/16*c**4 + 3*c**3 - 49/24*c**6 - 13. Determine b so that f(b) = 0.
0, 2/7, 1
Let x = 17140 - 51418/3. Let -x + 22/15*p - 14/15*p**2 + 2/15*p**3 = 0. What is p?
1, 5
Let o(i) be the third derivative of -i**6/120 - 7*i**5/6 + i**4/24 + 35*i**3/3 + 1953*i**2. Factor o(s).
-(s - 1)*(s + 1)*(s + 70)
Let t(q) be the third derivative of q**5/180 + 103*q**4/12 - 619*q**3/18 - 2023*q**2 - q. Factor t(u).
(u - 1)*(u + 619)/3
Let m be (-35)/(-4) + (-24)/32. Let p be -28 + 37 + m/(-2). Factor -3*g + 5*g**5 + 5*g**2 - 10*g**3 - 5*g**4 + 0*g**4 + 8*g - p + 5*g**2.
5*(g - 1)**3*(g + 1)**2
Let u(j) be the third derivative of -1/30*j**5 - 1 + 0*j + 5*j**2 + 1/2*j**4 + 7/3*j**3. Find g such that u(g) = 0.
-1, 7
Let x(g) = 3*g**3 + 2*g**2 - g - 1. Let i(m) = 22*m**3 + 34*m**2 - 12*m - 29. Let q(v) = -i(v) + 5*x(v). Determine l, given that q(l) = 0.
-24/7, -1, 1
Let u(i) be the third derivative of -i**6/30 - 406*i**5/15 - 6800*i**4 + 55488*i**3 + 7*i**2 - 4. Find z such that u(z) = 0.
-204, 2
Let i(z) be the first derivative of 5*z**6/6 + z**5 - 15*z**4/4 - 5*z**3/3 + 5*z**2 + 28. Factor i(p).
5*p*(p - 1)**2*(p + 1)*(p + 2)
Let w(v) be the first derivative of v**5 - 10*v**3/3 + 5*v - 201. Find l, given that w(l) = 0.
-1, 1
Let 96/5*f + 574/5 + 2/5*f**2 = 0. What is f?
-41, -7
Suppose 203 = -9*m - 58. Let s = -27 - m. Factor 0*a + 29*a**2 + a**s + 6*a**4 - a**4 + 20*a**3 + 5 + 20*a.
5*(a + 1)**4
Solve 16*p + 17*p + 87 + 47*p + 57 + 16*p**2 + 84*p - 4*p**3 = 0.
-4, -1, 9
Suppose 23 + 13 = -12*d. Let j(c) = -2*c - 3. Let y be j(d). Find h such that 46*h**2 - 47*h**2 - 4*h + 0*h - y = 0.
-3, -1
Let j(n) be the first derivative of -n**4/3 + 799*n**3/9 - 298*n**2/3 - 199*n/3 + 10480. Find z, given that j(z) = 0.
-1/4, 1, 199
Let w = 1596 + -610. Let j = -1971/2 + w. Factor -1/2*f**3 + 2 - j*f**2 + 2*f.
-(f - 2)*(f + 1)*(f + 2)/2
Let y(a) be the second derivative of -a**5/90 - 35*a**4/54 + 5*a - 45. Factor y(o).
-2*o**2*(o + 35)/9
Let l(v) = 9*v**2 + 24*v - 3. Suppose 113*t - 33 = 110*t. Let b(k) = 17*k**2 + 47*k - 9. Let s(p) = t*l(p) - 6*b(p). Factor s(d).
-3*(d - 1)*(d + 7)
Find d, given that -18*d + 51*d + 4*d**3 - 84*d**2 - 17*d + 360*d**2 - 276 - 20*d = 0.
-69, -1, 1
Factor -848/3*s + 280 + 218/3*s**2 - 2/3*s**3.
-2*(s - 105)*(s - 2)**2/3
Let z(l) be the second derivative of l**4/6 - 290*l**3 + 869*l**2 + 1478*l. Solve z(f) = 0.
1, 869
Let a(k) be the third derivative of -k**8/11760 - 8*k**7/2205 - 16*k**6/315 