195*z**3 - z**5 - 55*z**4 - 19164*z - 20570*z = 0. What is z?
-14, -9
Let q(o) = 3*o**3 + 5*o**2 - 32*o - 6 - 16*o + 15 + 10*o**3. Let x(d) = 3*d**3 + d**2 - 12*d + 2. Let i(w) = -2*q(w) + 9*x(w). Find u such that i(u) = 0.
-3, 0, 4
Let x = -384319 - -384319. Factor x*h**2 + 26/11*h**3 + 2/11*h**4 + 0*h + 0.
2*h**3*(h + 13)/11
Let l be (-1 + 2/(-5))*(4 + (-87)/18). Let p(k) be the second derivative of -3/2*k**2 - 13/48*k**4 - 3/80*k**5 + 0 + 20*k + l*k**3. Factor p(b).
-(b - 1)*(b + 6)*(3*b - 2)/4
Let n = -1050 + 1090. Let d be 10 + -2 + (-192)/n. Factor -8/5 + d*r - 6/5*r**2.
-2*(r - 2)*(3*r - 2)/5
Let i(y) be the second derivative of 1/2*y**3 - 7/2*y**2 + y**4 + 36*y - 2. Let n(g) = -11*g**2 - 4*g + 6. Let s(o) = -6*i(o) - 7*n(o). Solve s(z) = 0.
-2, 0
Let p(o) be the first derivative of -4*o**3/21 + 680*o**2/7 + 1364*o/7 - 2558. Let p(b) = 0. Calculate b.
-1, 341
Let p(j) = -j**2 + 27020*j - 243097. Let d be p(9). Determine q so that 22/13*q**d + 0 - 10/13*q - 4/13*q**3 = 0.
0, 1/2, 5
Find m, given that -287/5*m**2 + 1/5*m**3 - 1/5*m + 287/5 = 0.
-1, 1, 287
Let l(m) be the first derivative of -m**3/3 - 55*m**2/2 - 106*m - 800. Find g, given that l(g) = 0.
-53, -2
Suppose -9*t = -0*t - 18. Suppose t*d + d = 15, 5*v = d + 65. Solve -a**2 - 40 - 9*a + 12 + v = 0 for a.
-7, -2
Let t(j) be the second derivative of j**8/3360 - j**7/105 - 13*j**6/360 - 22*j**4/3 + j + 20. Let h(l) be the third derivative of t(l). Factor h(f).
2*f*(f - 13)*(f + 1)
Let u(h) be the second derivative of 0*h**2 + 1/30*h**6 + 0 - 1/126*h**7 + 0*h**4 + 289*h + 0*h**3 - 1/30*h**5. Factor u(l).
-l**3*(l - 2)*(l - 1)/3
Factor 12/5*c**2 - 22/5*c - 56.
2*(c + 4)*(6*c - 35)/5
Let l(z) = 3027*z + 96866. Let d be l(-32). Solve -5/4*v - 1/2 - v**d - 1/4*v**3 = 0.
-2, -1
Let n(o) = 888*o + 14. Let h be n(3). Suppose -5*i + h = -3622. Factor -i + 7*w + 1240 - 5*w**2 + 13*w.
-5*(w - 2)**2
Let s be (-3 - 20993/19) + (-66)/627. Let i = 1112 + s. Factor 0 + 5/3*r**3 + 0*r**2 + 0*r + 5/3*r**5 + 10/3*r**i.
5*r**3*(r + 1)**2/3
Let z(n) be the second derivative of n**4/96 - 23*n**3/24 + 11*n**2/2 - 1917*n. Factor z(d).
(d - 44)*(d - 2)/8
Let s = -33/179732 + 3594937/1617588. Suppose 3*f + 4 = -4*i - 0*f, 4*f = -5*i - 6. Determine p so that s + 2*p - 2/9*p**i = 0.
-1, 10
Let s = -779 + 24151/31. Let a = 362/155 + s. Factor -1/5*z**2 - a*z - 36/5.
-(z + 6)**2/5
Let d(t) be the third derivative of -t**6/30 + 79*t**5/15 - 295*t**4/6 - 250*t**3 - 2830*t**2. Factor d(g).
-4*(g - 75)*(g - 5)*(g + 1)
Let r(d) = 12*d**3 - 485*d**2 + 126*d + 323. Let u(v) = 23*v**3 - 970*v**2 + 244*v + 647. Let m(j) = -7*r(j) + 3*u(j). Factor m(p).
-5*(p - 32)*(p - 1)*(3*p + 2)
Let a be (-13)/((-156)/309) + 3/(-4). Suppose -24 + 99 = a*i. Solve 1/4*b**4 + 0 + 0*b**2 + 0*b + 1/4*b**i = 0.
-1, 0
Let f(w) be the second derivative of -w**7/63 - w**6/63 + 289*w**5/210 + 653*w**4/126 - 10*w**3/3 + 451*w + 2. Suppose f(n) = 0. Calculate n.
-5, -3, 0, 2/7, 7
Let k(f) be the first derivative of -f**6/30 + 2*f**5/5 - 4*f**4/3 - 7*f + 51. Let t(c) be the first derivative of k(c). Determine m so that t(m) = 0.
0, 4
Find w such that -80/3*w + 52/3*w**2 - 2/3*w**3 - 128 = 0.
-2, 4, 24
Suppose -2*d + 8*d + 7*d = 0. Suppose d = 59*i + 15*i. Find j such that 2/17*j + i + 2/17*j**2 = 0.
-1, 0
Let x(p) = -3*p + 7 + 40*p - 20*p + 9*p**2 + 3*p**3. Let a(g) = 4*g**3 + 10*g**2 + 18*g + 6. Let l(r) = 2*a(r) - 3*x(r). Let l(f) = 0. What is f?
-3, -1
Let f(c) = -35992*c - 215950. Let t be f(-6). Factor t*y - 9/5 - 1/5*y**2.
-(y - 9)*(y - 1)/5
Suppose 80*i = -113*i + 700 - 121. Factor -1/4*o**2 + 0 - i*o.
-o*(o + 12)/4
Suppose 327*c = -2662 + 3316. What is b in -462*b**3 + 468*b**c + 96/7 - 147*b**4 - 984/7*b = 0?
-4, 2/7
Let k(b) be the third derivative of 1/360*b**5 + 0*b + 1/72*b**4 - 1/12*b**3 + 0 - 24*b**2. Solve k(w) = 0.
-3, 1
Let s be ((-8)/8 - -2)*(-2)/(-1). Let g be (-14)/((-3)/(-150)*-2*s). What is w in 41*w - 12 + 88*w**3 - 153*w - 184*w**2 + g*w**4 + 49*w**5 - 4 = 0?
-2, -2/7, 1
Let x(l) = -15*l**4 - l**2 - l. Let z(d) = -42*d**4 - 45*d**3 + 219*d**2 - 399*d + 216. Let m(p) = 3*x(p) - z(p). Determine c so that m(c) = 0.
1, 2, 6
Let t(l) be the second derivative of 5*l**4/12 + 50*l**3/3 - 345*l**2/2 - 17*l - 6. Let t(u) = 0. Calculate u.
-23, 3
Suppose -2*a + 8*h = 9*h + 255, 3*a - 2*h + 393 = 0. Let f = a - -911/7. Let 2/7*b**4 + 0 - 2*b**2 - 4/7*b**3 - f*b = 0. What is b?
-1, 0, 4
Let u(a) be the third derivative of -1/780*a**6 + 0 - 49*a**2 + 2/195*a**5 + 5/156*a**4 + 2*a + 0*a**3. Factor u(z).
-2*z*(z - 5)*(z + 1)/13
Let c(y) be the third derivative of -7*y**6/1080 - 401*y**5/540 - 799*y**4/108 - 212*y**3/27 + 86*y**2 - 14. Factor c(p).
-(p + 4)*(p + 53)*(7*p + 2)/9
Suppose 49*n = 60*n + c - 207, 4*n - c = 78. Let p(y) be the second derivative of 0 + 0*y**2 - y**4 + 4/5*y**5 - n*y - 2/3*y**3. Factor p(r).
4*r*(r - 1)*(4*r + 1)
Suppose -35240 + 121448 = -48*a. Let l = -3589/2 - a. Determine j so that -3/2*j**3 + 0 + l*j**2 + 0*j = 0.
0, 1
Suppose -69*j + 83*j - 560 = 0. Let k(m) = -m**3 + 42*m**2 - 80*m. Let i be k(j). Factor 3/2*l**4 - 3*l**3 + i*l + 0 - 9/2*l**2.
3*l**2*(l - 3)*(l + 1)/2
Suppose -u = 5*m - 13, m = -11*u + 14*u - 7. Suppose u*l = -4*d, 8*l - 10*l + 4*d = -20. Factor -8/3*r**3 - 4*r**2 - 2/3 - 2/3*r**l - 8/3*r.
-2*(r + 1)**4/3
Let l(p) = -41*p**3 + 311*p**2 - 131*p - 432. Let n(z) = -42*z**3 + 294*z**2 - 130*z - 432. Let w(t) = 2*l(t) - 3*n(t). Factor w(y).
4*(y - 2)*(y + 1)*(11*y - 54)
Suppose 40/13*s - 2/13*s**2 + 192/13 = 0. What is s?
-4, 24
Suppose -4*y = -2*l - 40, 4*y + l - 56 = -l. Suppose -4*m - 13*m = -y*m. Factor -3*n**3 - 124*n + m*n**3 - 18 + 18*n**2 + 127*n.
-3*(n - 6)*(n - 1)*(n + 1)
Suppose 23*t**2 - 772*t + 7*t**2 - 148*t - 18*t**2 - 308 = 0. What is t?
-1/3, 77
Let w(j) = 2*j**4 - 46*j**3 + 124*j**2 + 340*j + 210. Let f(n) = n**4 - n**3 - 2*n + 3. Let a(z) = -6*f(z) + w(z). Find p, given that a(p) = 0.
-12, -1, 4
Let w = -392 + 442. Factor -7*u - 14*u + 15*u - 35*u + 8*u**2 + u + w.
2*(2*u - 5)**2
Determine u, given that -1140/13*u - 2/13*u**3 - 134/13*u**2 + 0 = 0.
-57, -10, 0
Factor -348/5*o + 351/5 - 3/5*o**2.
-3*(o - 1)*(o + 117)/5
Let x be (600/(-9))/4*(-1701)/28. Let r(j) be the first derivative of -10125*j - 24 - x*j**2 - 3/4*j**4 - 45*j**3. Factor r(d).
-3*(d + 15)**3
Let j(b) be the second derivative of -b**7/336 - b**6/30 + 9*b**5/160 - 2*b + 188. Solve j(a) = 0 for a.
-9, 0, 1
Suppose -3*y = 5*p - 0*y - 92, 5 = -5*y. Suppose -p*m + 99*m - 5*m**3 + 11*m**2 + 51*m**2 - 9*m**2 + 22*m**2 = 0. What is m?
-1, 0, 16
Let c(n) be the second derivative of n**7/14 - 3*n**6/5 + 27*n**5/20 - n**4 - 972*n. Determine t, given that c(t) = 0.
0, 1, 4
Let y be 1560/(-416)*(-4)/5. Let i(j) be the third derivative of 0*j**y + 5/336*j**8 + 0*j**4 + 0*j**5 + 0*j**6 - 1/42*j**7 + 0*j + j**2 + 0. Factor i(m).
5*m**4*(m - 1)
Solve -296/7 + 1784/7*u - 3378/7*u**2 + 1940/7*u**3 - 50/7*u**4 = 0 for u.
2/5, 1, 37
Suppose -44 = 1264*k - 1275*k. Let l(w) be the second derivative of -25/24*w**3 + 5/4*w**2 + 5/12*w**k + 0 - w - 1/16*w**5. Find d such that l(d) = 0.
1, 2
Let x(w) be the first derivative of 11*w**6/3 + 28*w**5/5 - 523*w**4/22 + 592*w**3/33 - 48*w**2/11 + 448. Determine c so that x(c) = 0.
-3, 0, 4/11, 1
Suppose -w - 4*k = 58, -2*w + 354 = -2*k + 320. Solve -528*o + 56*o**w - 4/3*o**3 - 3872/3 = 0 for o.
-2, 22
Let y be (-1)/2*252/(-1512). Let d(a) be the second derivative of -1/6*a**2 + 0*a**4 + 0 + y*a**3 + 11*a - 1/120*a**5. Factor d(w).
-(w - 1)**2*(w + 2)/6
Let -3/2*u**3 + 153*u - 147/2*u**2 + 0 = 0. What is u?
-51, 0, 2
Let n be (-540)/70 - -6 - (-2)/(-7). Let h be 23/11 + n + 41/(-451). Suppose h*i + 6/11*i**2 + 0 - 4/11*i**3 = 0. Calculate i.
0, 3/2
Let j be 14/6*(-7)/(-14). Let w = j + 19/2. Solve w*x + 1/3*x**3 - 10/3*x**2 - 32/3 = 0.
2, 4
Let b(f) be the second derivative of 0 + 1/60*f**4 - 2/5*f**2 - 57*f + 0*f**3. Factor b(p).
(p - 2)*(p + 2)/5
Factor 42*i**2 - 14*i**2 - 483 - 45*i - 9*i**2 - 18*i**2 + 107*i.
(i - 7)*(i + 69)
Suppose -2*r = -r - 2*r. Let g be r + 4 + -14 + 13. Factor -15*p**2 + 3 - 11 + g*p**3 - 8 + 24*p + 4.
3*(p - 2)**2*(p - 1)
Let m be ((-2)/(-5))/(1/5). Suppose 3*q - 4 - 7 - 19 = 0. Factor 12*f**4 - q*f**4 - f**4 + f**3 - f**m - f**5.
-f**2*(f - 1)**2*(f + 1)
Let