**4 + 66654/13*t - 48668/13 = 0. Calculate t.
-23, 1, 2
Suppose 0*z - 3*j = 3*z - 21, 0 = 4*z - 3*j. Let g = -2 + 5. Factor 13*h**z + 6*h**2 - 2*h**2 - 17*h**g.
-4*h**2*(h - 1)
Suppose -866*y - 78 = -892*y. Factor 2/3*m - 1/6*m**2 + 0 + 1/6*m**4 - 2/3*m**y.
m*(m - 4)*(m - 1)*(m + 1)/6
Let q(i) = 4*i**4 - 11*i**3 + i**2 + i + 15. Let f(j) = 5*j**4 - 13*j**3 + j**2 + j + 18. Let u(x) = 5*f(x) - 6*q(x). Factor u(p).
p*(p - 1)*(p + 1)**2
Let r = -27157 + 162953/6. Find d, given that r*d**3 - 1 - 11/6*d + 1/2*d**4 + 1/2*d**2 = 0.
-3, -1, -2/3, 1
Let i(d) be the first derivative of 3*d**4/4 - 17*d**3 + 165*d**2/2 - 117*d + 1123. Factor i(z).
3*(z - 13)*(z - 3)*(z - 1)
Solve 3322*u**4 - 19*u**5 + 3437*u**4 + 16*u**5 - 2214138*u**3 - 2292*u**4 + 5748937*u + 728608820*u + 368290419 + 363848730*u**2 = 0 for u.
-1, 497
Let g(q) = -q**2 - 43*q - 350. Let f be g(-32). Let n(y) be the second derivative of 0 + 13/4*y**3 - 9/32*y**4 + 9/4*y**f - 6*y. Factor n(k).
-3*(k - 6)*(9*k + 2)/8
Suppose 0 = -5*y + 5776*x - 5773*x + 10, -5*x + 8 = 4*y. Factor 8/5 - 9/5*f**y + 34/5*f.
-(f - 4)*(9*f + 2)/5
Let p(d) be the second derivative of 25/42*d**4 - 26 + 8/7*d**2 - 2*d**3 + 9/70*d**5 - d. Factor p(c).
2*(c - 1)*(c + 4)*(9*c - 2)/7
Determine i so that 819/2*i + 1/2*i**5 + 490 - 109*i**2 - 26*i**3 + 3*i**4 = 0.
-7, -1, 4, 5
Let b = 32/28239 - -169274/141195. Let -26/5*f**2 + b*f**5 + 2/5*f**3 + 0 - 8/5*f + 26/5*f**4 = 0. Calculate f.
-4, -1, -1/3, 0, 1
Let z = -44531 - -178125/4. Factor 0 + 1/4*w**4 - z*w**3 - 1/2*w**2 + 0*w.
w**2*(w - 2)*(w + 1)/4
Let r(v) be the first derivative of -3*v**5/20 + 669*v**4/4 + 1787*v**3/4 + 1341*v**2/4 + 701. Factor r(f).
-3*f*(f - 894)*(f + 1)**2/4
Let j(c) = 1. Let b(s) = s**2 + 8*s + 5. Let p be (1 - -1)/(-10 - -9). Let h be p - (-2 - (-5 + 0)). Let k(v) = h*b(v) - 10*j(v). Find f, given that k(f) = 0.
-7, -1
Let q(t) = -t**3 + 29*t**2 - 28*t + 3. Let v be q(28). Let i be -2 + 5 + -1 + -2 + v. Factor 10*a + 408*a**3 + 20*a**2 - 403*a**i + 5*a + 0*a.
5*a*(a + 1)*(a + 3)
Let c(w) = -8*w**3 + 46*w**2 + 339*w - 1960. Let j be c(6). Factor 9/7 - 3/7*d - 1/7*d**3 - 5/7*d**j.
-(d - 1)*(d + 3)**2/7
Let o(d) be the third derivative of -d**5/420 - 61*d**4/84 - d**2 + 11*d - 39. Factor o(j).
-j*(j + 122)/7
Let h(m) be the second derivative of m**5/10 + 29*m**4/8 - 107*m**3/6 + 12*m**2 + 9832*m. Factor h(g).
(g - 2)*(g + 24)*(4*g - 1)/2
Let t(k) be the third derivative of -k**7/210 + 11*k**6/60 - 19*k**5/15 + 3*k**4 - 1112*k**2. Factor t(p).
-p*(p - 18)*(p - 2)**2
Let r be ((-12915)/160)/9 + 9. Let p(c) be the third derivative of -14*c**2 + 0*c**3 + 0*c**5 + 1/160*c**6 + 0*c + 0 - r*c**4. Find a such that p(a) = 0.
-1, 0, 1
Let a(h) = 9*h**2 - 9*h + 10. Let n be a(2). Let n*u**3 + 3*u**2 - 31*u**3 + 45*u**2 + 21*u + 30*u = 0. What is u?
-1, 0, 17
Let 4032*r - 744*r**3 + 3*r**5 - 357*r**3 + 18*r**4 + 3216*r**2 + 300*r**3 = 0. Calculate r.
-21, -1, 0, 8
Let l(v) be the first derivative of v**5/20 + v**4/16 - 5*v**3/12 + 3*v**2/8 - 313. Find o, given that l(o) = 0.
-3, 0, 1
Suppose 6*l + 9 = -3. Let f be (50/4)/((-1)/l*1). Factor -20*t - 5*t**3 + 3 - 1 - f*t**2 - 2.
-5*t*(t + 1)*(t + 4)
Suppose -3*p = -21 + 9. Let q(b) = b**2 - 7*b + 5. Let j be q(7). What is w in 130*w**p + 5*w**3 + 313*w**j + 532*w**5 + 0*w**3 = 0?
-1/13, 0
Let u(r) be the third derivative of -r**7/840 + 961*r**6/480 - 115679*r**5/120 + 2380*r**4 + 19200*r**3 + 1196*r**2 - 4*r. Determine a, given that u(a) = 0.
-1, 2, 480
Let o(z) be the third derivative of -z**8/5040 - z**7/420 - z**6/90 - 17*z**5/20 + 44*z**2. Let h(q) be the third derivative of o(q). Factor h(d).
-4*(d + 1)*(d + 2)
Let m be (-61173)/(-8190) - 18/(-585). Solve -6 + 6*h + m*h**2 - 9/2*h**3 = 0.
-1, 2/3, 2
Factor 6*n**2 + 24 + 9*n**2 - 30*n + 12*n**2 - 31*n**2 - 16*n.
-2*(n + 12)*(2*n - 1)
Let s(f) be the second derivative of f**4/12 - 19*f**3/2 + 55*f**2 + 323*f. Find q such that s(q) = 0.
2, 55
Let u = -501 + 503. Let s be (2/16)/(20/8 - u). Factor 16*b**2 - 4*b + s.
(8*b - 1)**2/4
Let 10/3*t**2 - 1/6*t**4 + 0*t - 19/6*t**3 + 0 = 0. Calculate t.
-20, 0, 1
Let d be 8/(-2)*(-1 - 0)/4. Let y(x) = -4*x**4 + 10*x**3 - 24*x**2 - 10*x - 10. Let w(u) = -u**3 - u - 1. Let z(a) = d*y(a) - 10*w(a). Factor z(t).
-4*t**2*(t - 3)*(t - 2)
What is c in 2/9*c**4 + 52/9*c**3 + 200 - 520/3*c + 218/9*c**2 = 0?
-15, 2
Let h = -1601 - -1604. Let a be (h/15)/((-2)/(-4)). Determine q, given that -9/5*q**2 - 7/5*q - a - q**3 - 1/5*q**4 = 0.
-2, -1
Suppose 5*n - 70 = 5*p, -5*p - 30 = -0*n - n. Suppose -4*k + 0 = 3*m - 2, -k + n = -4*m. Find i such that 2*i - 4*i**k + i - 56 + 54 + 3*i**2 = 0.
1, 2
Let j(q) be the first derivative of q**6/14 + 12*q**5/35 - 45*q**4/7 - 414*q**3/7 - 2511*q**2/14 - 1458*q/7 + 3761. Find p such that j(p) = 0.
-6, -3, -1, 9
Let o(f) be the first derivative of 2*f**3/19 + 1630*f**2/19 - 2176*f/19 + 4624. Suppose o(g) = 0. Calculate g.
-544, 2/3
Let r(c) = 2*c - 2. Let u be r(2). Let x = 122802 + -982415/8. Find w such that 1/4 + 3/8*w + x*w**u = 0.
-2, -1
Let l(t) = 9*t**4 - 234*t**3 + 416*t**2 + 104*t. Let c(d) = 9*d**4 - 226*d**3 + 418*d**2 + 104*d. Let m(i) = 4*c(i) - 6*l(i). Find k such that m(k) = 0.
-2/9, 0, 2, 26
Let p(m) be the second derivative of m**8/4480 - m**7/280 + 3*m**6/160 + m**4/6 + 4*m**3/3 + 77*m. Let g(b) be the third derivative of p(b). Factor g(f).
3*f*(f - 3)**2/2
Let f(s) be the third derivative of 0 + 0*s**3 + 116*s**2 + 1/20*s**5 + 1/10*s**6 + 0*s**4 + 0*s. Solve f(a) = 0.
-1/4, 0
Let f(o) be the first derivative of 1/2*o**4 - 20/3*o**3 - 11*o**2 + 70 + 0*o. What is n in f(n) = 0?
-1, 0, 11
Let -781/4*s**2 - 772*s - 49/4*s**3 + 48 = 0. What is s?
-8, 3/49
Let l(b) be the third derivative of b**5/90 + 10*b**4/3 - 244*b**3/9 + 5251*b**2. Factor l(d).
2*(d - 2)*(d + 122)/3
Let k(g) be the second derivative of 1/4*g**5 + 1/72*g**6 + 17*g + 0 + 2*g**3 + 0*g**2 + 15/8*g**4. Let n(q) be the second derivative of k(q). Factor n(y).
5*(y + 3)**2
Let s(k) be the second derivative of -k**6/165 + 3*k**5/55 + 180*k**4/11 - 7650*k**3/11 + 131625*k**2/11 + 1449*k. Find z, given that s(z) = 0.
-39, 15
Factor 42 - 27*o - 7*o + 26*o**2 - 23*o**2 + 2*o**3 - 13*o**2.
2*(o - 7)*(o - 1)*(o + 3)
Let d(b) = -b**3 - 5*b**2 - 7*b. Let p be d(-5). Let x be 20/p - (-2 + (-6)/14). Determine c so that 19 + 30*c**2 + 19 - 5*c**x - 60*c + 2 = 0.
2
Let p(r) be the second derivative of -16/3*r**3 + 0 - 64/3*r**2 + 5/6*r**4 - 1/30*r**5 + 59*r. Factor p(g).
-2*(g - 8)**2*(g + 1)/3
Find g, given that -1519*g**3 - 8*g**4 + 767*g**3 - 12*g**5 + 780*g**3 - 5*g**2 - 3*g**2 + 0*g**2 = 0.
-2, 0, 1/3, 1
Let y be 16/5*(-2)/(-56). Let t(b) be the third derivative of -2/21*b**3 + y*b**5 - 3/28*b**4 - 13/420*b**6 + 0*b - 32*b**2 + 0. Find k, given that t(k) = 0.
-2/13, 1
Let r(x) be the second derivative of x**7/3780 + 11*x**6/1080 + 19*x**4/3 - 54*x. Let v(m) be the third derivative of r(m). Factor v(j).
2*j*(j + 11)/3
Let m(b) be the second derivative of 2/15*b**6 + 104*b - 76*b**2 + 0 - 71/3*b**4 + 62*b**3 + 3*b**5. Solve m(d) = 0 for d.
-19, 1, 2
Let o(q) be the second derivative of -q**6/5 - 7*q**5/5 - 7*q**4/6 + 4*q**3/3 + 2*q + 1040. Solve o(h) = 0.
-4, -1, 0, 1/3
Factor 17 - 177*t + 352*t - 170*t**2 - 174*t + 153 - t**3.
-(t - 1)*(t + 1)*(t + 170)
Let 212/5*l**2 - 232/15*l**3 - 2/15*l**5 + 12/5*l**4 + 0 - 42*l = 0. Calculate l.
0, 3, 5, 7
Suppose 99*k - 93*k = 72. Suppose -10*j**3 + k + 28*j**3 + 33*j + 27*j**2 - 3*j**4 - 15*j**3 = 0. What is j?
-1, 4
Let x(r) be the third derivative of -r**6/30 + 11*r**5/5 - 42*r**4 - 5*r**2 + 96. Factor x(o).
-4*o*(o - 21)*(o - 12)
Let i be (4/(-34))/((-12)/((-27336)/(-1474))). Let k = -7/214 + 3929/2354. Let 12/11*a - k - i*a**2 = 0. What is a?
3
Let l be (-4)/(-16)*428 + 7. Let c be l/(-1083) + (-65)/(-76). Let -c*o**5 + 3/2*o**4 - 3*o + 9/4*o**3 - 3*o**2 + 0 = 0. What is o?
-1, 0, 2
Let k(o) be the second derivative of -o**8/10080 + o**7/630 - o**6/120 + o**5/45 + 23*o**4/6 - 6*o. Let p(b) be the third derivative of k(b). Factor p(n).
-2*(n - 4)*(n - 1)**2/3
Let x(n) be the second derivative of -n**6/6 - 2*n**5 + 5*n**4 + 120*n**3 - 1247*n. Factor x(l).
-5*l*(l - 4)*(l + 6)**2
Let y(m) be the second derivative of -3*m**2 - 54 - 5/6*m**3 + m + 1/12*m**4. Factor y(k).
(k - 6)*(k + 