uppose z(q) = 0. What is q?
-15, 1
Let -171*a**3 - 64*a + 60*a**2 + 74*a**3 + 83*a**3 = 0. What is a?
0, 2, 16/7
Suppose -2 = 16*z - 66. Suppose -5*d = 7*m - z*m - 10, -3*d = -m - 6. Factor 16/3 + 2/3*w**3 + 28/3*w + 14/3*w**d.
2*(w + 1)*(w + 2)*(w + 4)/3
Let s be 12/48*(57 - 1). Suppose 0 = s*z - 9 - 19. Factor 4/13 - 2*r + 22/13*r**z.
2*(r - 1)*(11*r - 2)/13
Let c(g) be the third derivative of -g**8/25200 + g**7/700 - 2*g**6/225 + 38*g**5/15 + 139*g**2. Let a(l) be the third derivative of c(l). Factor a(z).
-4*(z - 8)*(z - 1)/5
Suppose 0 = 71*c - 2*c - 345. Suppose c*x = -2*y + 6, -2*x + 7 = -2*y + 13. Factor -4/9 + 8/9*k**2 - 4/9*k**4 + x*k + 0*k**3.
-4*(k - 1)**2*(k + 1)**2/9
Suppose -3*a - 3 = -0*a, 0 = i + 5*a - 18632. What is z in -16*z + 0*z - 2*z**2 + 2*z**3 - i + 18661 = 0?
-3, 2
Suppose 2*t = 6*t + 4*b - 156, t = -5*b + 47. Determine k, given that -3*k - 4*k - 36 - 5*k + 40*k**2 - t*k**2 = 0.
-2, 6
Let s(f) be the second derivative of -f**4/12 - 145*f**3/3 - 21025*f**2/2 - 6*f + 13. Factor s(r).
-(r + 145)**2
Let c = -3631 + 3633. Let q(n) be the second derivative of -1/2*n**c + 0 + 1/60*n**5 - 5/36*n**4 + 7/18*n**3 - 19*n. Determine t, given that q(t) = 0.
1, 3
Let d be (-5)/10 + 44/8 - 3. Let v be (8/d)/((-112)/(-8)). Find o such that v*o**2 + 6/7*o + 0 = 0.
-3, 0
Determine x, given that -232/7*x + 176/7*x**4 + 24/7 + 94*x**2 - 626/7*x**3 = 0.
2/11, 3/8, 1, 2
Let x(p) be the second derivative of -5*p**8/112 + 4*p**7/35 - p**6/40 - p**5/10 - 47*p**2 - 30*p - 1. Let h(v) be the first derivative of x(v). Factor h(s).
-3*s**2*(s - 1)**2*(5*s + 2)
Let z(j) be the third derivative of j**5/36 + 10*j**4/3 - 245*j**3/18 - 1939*j**2 + 2. Factor z(f).
5*(f - 1)*(f + 49)/3
Let g(t) = -2*t**3 - t**2 + 128*t - 130. Let p(n) = n**3 + n**2 - 64*n + 64. Let s(i) = 2*g(i) + 5*p(i). Suppose s(a) = 0. Calculate a.
-10, 1, 6
Factor 0 + 272/9*n + 424/9*n**2 + 2/9*n**5 + 76/3*n**3 + 46/9*n**4.
2*n*(n + 2)**3*(n + 17)/9
Let x(a) be the first derivative of a**6/6 + 304*a**5/5 + 25705*a**4/4 + 133062*a**3 + 1135134*a**2 + 4416984*a - 250. Factor x(s).
(s + 6)**3*(s + 143)**2
Let y be (24/4)/(-2) + 3. Suppose 2*o - 6*o - 4 = y, -2*n - 4*o = -6. Suppose -t**2 + 0*t**2 + n*t + 4*t**2 - 8*t**2 = 0. Calculate t.
0, 1
Let s(g) = g**3 - 10*g**2 - 3*g + 26. Let j be s(10). Let f be (-4)/j + (26/12 - 2). Let f*a + 2/3 + 1/3*a**2 - 1/6*a**3 = 0. What is a?
-1, 4
Let a(m) be the third derivative of -m**6/480 + 209*m**5/20 - 3*m**2 + 11*m + 1. Determine k, given that a(k) = 0.
0, 2508
Let v be ((-14)/8)/(3750/200). Let i = v - -52/75. Suppose 6/5*h**2 - 24/5 + 12/5*h - i*h**3 = 0. Calculate h.
-2, 2
Let z be -24*(0 + 340/16). Let x = z + 512. Find g such that 0 + 0*g + 2/7*g**x - 2/7*g**3 = 0.
0, 1
Suppose -4/5*l**3 - 18/5 + 17/5*l + l**2 = 0. Calculate l.
-2, 1, 9/4
Let g(j) = -j**3 + 9*j**2 + 955*j - 5835. Let f be g(6). Suppose -1/6*z + 1/6*z**f + 0*z**2 + 0 = 0. What is z?
-1, 0, 1
Determine r, given that 16320/7*r + 73984/7 + 4/7*r**3 - 528/7*r**2 = 0.
-4, 68
Let i(k) = -30*k**4 + 2486*k**3 + 2869*k**2 + 353*k. Let h(r) = 6*r**4 - 497*r**3 - 574*r**2 - 71*r. Let q(x) = 31*h(x) + 6*i(x). Solve q(f) = 0 for f.
-1, -1/6, 0, 83
Let l be (-108)/(-60) - (-160)/50. Let f(n) be the third derivative of -30*n**2 + 2/9*n**4 + 0*n + 2/315*n**7 + 1/5*n**l + 0 + 1/15*n**6 + 0*n**3. Factor f(h).
4*h*(h + 1)**2*(h + 4)/3
Let v(x) be the first derivative of x**7/420 - x**6/90 - 2*x**3/3 + 33*x**2/2 - 108. Let q(w) be the third derivative of v(w). Suppose q(g) = 0. What is g?
0, 2
Let n be 132/(-30) + (-2)/(-10)*-3. Let u be 1 - (0 + -3 + 7 + n). Determine y, given that 0 + 8/3*y**4 - 52/3*y**3 + 40/3*y**u - 2*y + 10/3*y**5 = 0.
-3, 0, 1/5, 1
Find s such that -5*s**2 + 2020*s + 2248*s + 4570 + 297*s = 0.
-1, 914
Let j(r) = 5*r - 30. Let b be j(6). Let q(u) = 5*u**2 - u + b - 7*u**2 - 3. Let k(h) = -h**2 - h - 1. Let x(l) = 12*k(l) - 4*q(l). Factor x(m).
-4*m*(m + 2)
Let j(x) = -x**4 + x**3 + 2*x**2 + 1. Let d(t) = 20*t**4 - 111*t**3 + 162*t**2 - 86*t. Let w(n) = d(n) + 5*j(n). Factor w(c).
(c - 5)*(c - 1)**2*(15*c - 1)
Let x = -4 - -4. Let l be 1*4/16*x. Find o, given that -9*o + 10 + l*o**3 - 16*o - 3*o**3 - 2*o**3 + 20*o**2 = 0.
1, 2
Suppose -4 = -1587*q - 3 - 0 - 1. Suppose -2*o**5 + 0*o**2 + q*o + 3/2*o**3 + 11/2*o**4 + 0 = 0. What is o?
-1/4, 0, 3
Determine d, given that -4360/9*d + 4352/9 + 1096/9*d**2 - 2/9*d**3 = 0.
2, 544
Let i = -8121/11 - -739. Let l = 30557 + -30555. Factor -i - 24/11*t - 10/11*t**l.
-2*(t + 2)*(5*t + 2)/11
Let o(b) be the third derivative of -b**9/100800 + b**8/1680 - b**7/84 + 31*b**5/60 + 59*b**2. Let t(s) be the third derivative of o(s). Factor t(c).
-3*c*(c - 10)**2/5
Factor 434/11*c**2 - 2/11*c**3 + 112360/11 - 24592/11*c.
-2*(c - 106)**2*(c - 5)/11
Factor 4*f**3 + 7238*f**2 - 7254*f**2 - 418*f - 2*f**3.
2*f*(f - 19)*(f + 11)
Suppose k = -2*q + 223, 9 = 3*q + 3. Factor 211*t**3 - 10*t**2 - 4*t + t - k*t**3 - 2*t**4 - t.
-2*t*(t + 1)**2*(t + 2)
Let d(r) be the first derivative of -3*r**4/2 - 374*r**3/3 - 2945*r**2 - 1922*r - 1712. Factor d(g).
-2*(g + 31)**2*(3*g + 1)
Let x(i) be the first derivative of 52/3*i + 13/6*i**4 - 37/3*i**2 + 2/15*i**5 - 2/3*i**3 - 95. Find a, given that x(a) = 0.
-13, -2, 1
Let m(c) = c**4 + 98*c**3 - 683*c**2 - 29235*c - 127008. Let h(f) = -2*f**4 - 92*f**3 + 686*f**2 + 29236*f + 127008. Let w(o) = 3*h(o) + 4*m(o). Factor w(q).
-2*(q - 36)**2*(q + 7)**2
Let t(w) be the second derivative of w**5/50 - 869*w**4/30 + 12557*w**3 + 37845*w**2 + 1260*w. Factor t(z).
2*(z - 435)**2*(z + 1)/5
Suppose -5*s - 4*j + 3 = 0, 0 = 2*s - 2*j + 1 - 13. Find m such that 27*m**s - 572 - 2*m**4 + 93*m + 536 - m**4 - 81*m**2 = 0.
1, 3, 4
Let f = -2453 + 2465. Let x(v) be the second derivative of 0 - 2/15*v**2 + f*v - 1/9*v**3 - 2/45*v**4 - 1/150*v**5. Factor x(j).
-2*(j + 1)**2*(j + 2)/15
Let j(b) = -294*b - 25*b**2 + 329*b + 7 + 8. Let t(m) = -23*m**2 + 36*m + 15. Let k(p) = 4*j(p) - 5*t(p). Determine x, given that k(x) = 0.
-1/3, 3
Suppose -3*o - o + 513 = 513. Let y(x) be the third derivative of o + 1/2*x**3 + 1/20*x**5 - 7*x**2 + 1/4*x**4 + 0*x. Factor y(l).
3*(l + 1)**2
Let o(h) be the first derivative of h**3/9 + 1277*h**2/6 - 426*h + 8405. Let o(i) = 0. What is i?
-1278, 1
Let d = 90 - 57. Suppose 37*z = d*z. Determine p so that 2*p**2 + z*p**2 - 3*p + 0*p + 5*p = 0.
-1, 0
Let s be 188/(-60) - -3 - (-64)/30. Suppose -15*d**s + 30 - 5*d**3 + 22*d - 5*d**2 - 10*d - 11*d - 6*d = 0. Calculate d.
-3, -2, 1
Factor 129/4 + 45/4*g**2 - 347/8*g - 1/8*g**3.
-(g - 86)*(g - 3)*(g - 1)/8
Let y(w) be the second derivative of -11/126*w**7 - 8/9*w**4 + 26*w - 7/15*w**6 - 1/6*w**3 - 29/30*w**5 + 2 + 1/3*w**2. Factor y(i).
-(i + 1)**4*(11*i - 2)/3
Let r = 359936 + -359390. Determine v, given that -r*v - 882/5 - 6/5*v**3 - 254/5*v**2 = 0.
-21, -1/3
Let y be (5 - -1) + (-5)/(-2) + (-9)/2. Let o(k) be the first derivative of -3/8*k**y - 7/2*k**3 - 27/2*k - 45/4*k**2 - 11. Factor o(t).
-3*(t + 1)*(t + 3)**2/2
Let x(k) = -2*k**5 + 154*k**4 - 591*k**3 + 894*k**2 - 571*k + 151. Let l(o) = o**3 + 2*o**2 + 3*o + 1. Let r(a) = 10*l(a) - 2*x(a). Factor r(p).
4*(p - 73)*(p - 1)**4
Let c be 2/(1350/3)*(-7)/14*-5. Let j(u) be the second derivative of 10*u + 0 + 2/9*u**3 - c*u**4 - 5/3*u**2. Let j(i) = 0. What is i?
5
Let l be (-258)/(-215)*(-5)/(-2). Let z(u) be the first derivative of 5/3*u**2 - 2/9*u**l - 1 + 0*u. Factor z(t).
-2*t*(t - 5)/3
Suppose 23*w = -2*m + 28*w + 20, 0 = m - 5*w - 20. Suppose 0 = -7*b + 2*b. Let m - 1/2*y**4 + 0*y**2 + b*y + 0*y**3 + 1/2*y**5 = 0. Calculate y.
0, 1
Factor -2/3*d**2 + 112/3*d + 232/3.
-2*(d - 58)*(d + 2)/3
Suppose 3*u + f = 26 - 10, 2*f = u - 3. Let w(z) = 29*z - 143. Let q be w(u). What is t in -2/19*t**q + 0 + 8/19*t = 0?
0, 4
Let k(m) = -16*m**2 - 86*m + 10. Let t(n) = -5*n**2 - 29*n + 3. Let b = 88 + -94. Let q(r) = b*k(r) + 20*t(r). Factor q(i).
-4*i*(i + 16)
Let l(c) be the second derivative of -c**4/30 - 4*c**3/15 - 4*c**2/5 + 2*c - 33. Solve l(g) = 0 for g.
-2
Suppose -3 + 4 = 3*x - 2*w, 2*x + 26 = -4*w. Let n(p) = 36 + 4*p**2 - 52 + 2*p + 2*p**3 + 13. Let m(g) = 1. Let z(k) = x*m(k) - n(k). What is a in z(a) = 0?
-1, 0
Suppose -3*t = -2*x - 49 - 29, 149 = 5*t + 3*x. Factor 46*n**2 + t*n**3 - 5*n + 5*n - 26*n**