4 + g**5 + 0*g. Determine u so that t(u) = 0.
-4, -2, 0, 1
Let y(q) = -q**3 + q**2 - 2*q + 1. Let x(a) = -4*a**3 - 326*a**2 - 1953*a - 2904. Let w(g) = -x(g) + 3*y(g). Find v such that w(v) = 0.
-323, -3
Let 3*l**2 + 0*l + 0 - 5/4*l**4 + 4*l**3 - 3/4*l**5 = 0. Calculate l.
-3, -2/3, 0, 2
Let z = 340197 + -340195. Let -147 - 24*i**z - 3/2*i**3 - 231/2*i = 0. Calculate i.
-7, -2
Let n be (0 - 1)*-3 + -12 + -2. Let c(w) = -9*w**3 + 11*w**2 + 11*w + 11. Let x(k) = 3*k**3 - 4*k**2 - 4*k - 4. Let z(r) = n*x(r) - 4*c(r). Factor z(p).
3*p**3
Let k = 974881 - 4874402/5. Find m, given that -24/5*m - k*m**2 - 36/5 = 0.
-6, -2
Let 216/7 - 75/7*y**3 + 3/7*y**4 + 351/7*y + 57/7*y**2 = 0. Calculate y.
-1, 3, 24
Suppose 4*z + j - 7 = 0, -2*z - 200*j = -195*j - 35. Let k(d) be the second derivative of 1/42*d**4 + z + 40*d - 1/7*d**3 - 4/7*d**2. Factor k(i).
2*(i - 4)*(i + 1)/7
Let l(n) = n**4 + n**2 - 2*n - 5. Let w(a) = -5*a**4 - 54*a**3 + 229*a**2 - 346*a + 211. Let k(p) = 14*l(p) + 2*w(p). Determine x, given that k(x) = 0.
1, 2, 22
Let u be (-1242)/299*(-234)/54. Factor -12*n**2 + 3/2*n**3 + 57/2*n - u.
3*(n - 4)*(n - 3)*(n - 1)/2
Suppose 3*c - 77 = 5*q, 0*q + 56 = 2*c - q. Let j be (-10)/25 + c/(-15) - -3. Factor 0*f + 0 + 2*f**2 - j*f**3.
-2*f**2*(f - 3)/3
Let g(n) be the third derivative of -n**5/210 - 1385*n**4/84 + 66*n**3 - 3123*n**2. Let g(b) = 0. Calculate b.
-1386, 1
Let f(o) = -11*o**2 + 87*o + 303. Let i(q) = 3*q**2 + q - 5. Let d(t) = f(t) + 3*i(t). Factor d(k).
-2*(k - 48)*(k + 3)
Let c = 17913 - 17907. Let w(m) be the first derivative of -4/3*m**3 + 0*m + 2 + c*m**2. Solve w(t) = 0.
0, 3
Solve -13*x**2 - 11/2*x + 6*x**3 - 1/2*x**5 + 9 + 4*x**4 = 0.
-2, -1, 1, 9
Let i(a) = 2*a**5 + 5*a**4 + 10*a**3 - 8*a**2 - 3*a - 3. Let q(x) = -3*x**5 - 6*x**4 - 12*x**3 + 8*x**2 + 4*x + 4. Let s(h) = 4*i(h) + 3*q(h). Factor s(d).
-d**2*(d - 2)**2*(d + 2)
Let u(d) be the first derivative of 2*d**3/3 - 26*d**2 + 50*d + 2449. Determine i so that u(i) = 0.
1, 25
Let l(o) be the first derivative of 5*o**4/18 - 13*o**3/27 - 2*o**2/9 - 36*o - 8. Let t(q) be the first derivative of l(q). Solve t(x) = 0.
-2/15, 1
Factor -1/3*c**4 - 829/3*c**2 - 1364*c - 1452 + 62/3*c**3.
-(c - 33)**2*(c + 2)**2/3
Let y = 217 + -252. Let w(j) = -j**3 - 1. Let u(n) = 14*n**4 - 4*n**3 - 16*n**2 - 3*n - 5. Let b(l) = y*w(l) + 5*u(l). Solve b(x) = 0.
-1, -1/2, 2/7, 1
Let x(g) = -7*g**2 - 2907*g + 5792. Let j(h) = 12*h**2 + 4360*h - 8688. Let r(q) = 5*j(q) + 8*x(q). Find z, given that r(z) = 0.
2, 362
Let k(y) be the first derivative of -5*y**4/8 - 275*y**3/6 - 1035*y**2/4 - 765*y/2 - 2282. Find d, given that k(d) = 0.
-51, -3, -1
Let v = 79276/3729 + 50/3729. Factor 0 + 48/11*f**3 + 2/11*f**4 - 676/11*f + v*f**2.
2*f*(f - 2)*(f + 13)**2/11
Suppose 2*o = -3*y, -38*o + 7 = -33*o + 4*y. Let k(w) be the second derivative of -1/8*w**o + 1/48*w**4 + 0 + 0*w**2 - 22*w. Factor k(f).
f*(f - 3)/4
Let n(x) be the third derivative of -x**6/280 - x**5/20 + 5*x**4/56 + 75*x**3/14 - 763*x**2 - 2*x. Factor n(u).
-3*(u - 3)*(u + 5)**2/7
Let j(p) be the second derivative of -134*p - 5/42*p**7 + 13/4*p**5 + 0 + 1/6*p**6 - 10*p**3 + 0*p**2 - 5/12*p**4. Find o such that j(o) = 0.
-3, -1, 0, 1, 4
Let p = -322194 - -2255374/7. Let c be 3 + 1 + (-78)/21. Factor 0 - p*i - c*i**2.
-2*i*(i + 8)/7
Let h be 8 + (-35)/7 + 2 + 0. Factor 1189*q**3 - 92*q**2 + 32*q - 2339*q**3 + 1234*q**3 - 4*q**h - 20*q**4.
-4*q*(q - 1)**3*(q + 8)
Suppose 0 = 444*b - 427*b - 85. Suppose -2*s = -2*d - 4, 33*d - 36*d = -b*s + 14. Factor 4/3*g**3 - 1/3*g**s - 4/3*g**2 + 0*g + 0.
-g**2*(g - 2)**2/3
Suppose -12*u - 956 = -16*u + 3*s, -478 = -2*u + 5*s. Suppose 20 = u*a - 234*a. Factor 0 - 6/7*d**2 + 0*d + 8/7*d**3 - 2/7*d**a.
-2*d**2*(d - 3)*(d - 1)/7
Let y(n) be the third derivative of -n**8/1344 - 31*n**7/840 + 37*n**6/480 + 163*n**5/240 + n**4 + 72*n**2 + 14*n + 3. Solve y(p) = 0 for p.
-32, -1, 0, 3
Let b be 24/(-8) + 11 - 124. Let s be b/(-16)*(7 + -4). Determine t, given that 105*t**5 + t - 13/4*t**4 + 0*t**2 + 0 - s*t**3 = 0.
-1/3, -2/7, 0, 1/4, 2/5
Let l be ((-364)/52)/((-534)/1371*-15). Let v = 1/534 - l. Determine g, given that -42/5*g**3 + 0 - 33/5*g**2 - v*g = 0.
-1/2, -2/7, 0
Let 262*s + 106*s + s**3 - 675*s - 36*s - 170*s**2 - 172 = 0. Calculate s.
-1, 172
Let j = -726 + 724. Let x be (j/(-30))/(1/20*6). Factor -2/9*g**2 + 4/9 - x*g.
-2*(g - 1)*(g + 2)/9
Factor -111*u + 26 - 9*u**2 - 39 - 26 - 33 - 3*u**4 + 27*u**3.
-3*(u - 8)*(u - 3)*(u + 1)**2
Factor -3/4*s**4 + 1089/2*s**2 - 546*s + 729/4 - 180*s**3.
-3*(s - 1)**3*(s + 243)/4
Let i be (-3 + 2 + 1)/(14 + -15). What is z in 8/7 - 2/7*z**2 + i*z = 0?
-2, 2
Let c = -59017 - -295289/5. Find z such that -48/5*z**4 - 56*z**2 - 4/5*z**5 - 56/5 - 176/5*z**3 - c*z = 0.
-7, -2, -1
Let g(h) be the first derivative of 2/3*h**2 + 1/3*h**3 - 4/9*h - 93 - 7/36*h**4. Find w, given that g(w) = 0.
-1, 2/7, 2
Let t = 8191/18395 + -52/283. Let f = t - -7/13. Factor 8/5*d + 4/5*d**2 + f.
4*(d + 1)**2/5
Let f(b) be the first derivative of -b**5/5 + 4*b**3/3 - 8088. Factor f(o).
-o**2*(o - 2)*(o + 2)
What is p in -46*p**4 - 70*p**3 + 84*p**4 + 681*p - 2*p**5 + 322*p**2 - 145*p**3 - 11*p**3 - 93*p = 0?
-1, 0, 6, 7
Let u(v) be the first derivative of v**8/2520 + v**7/210 + v**6/45 + v**5/18 + v**4/12 - 188*v**3/3 + 62. Let s(c) be the third derivative of u(c). Factor s(n).
2*(n + 1)**3*(n + 3)/3
Suppose 5*a = 4*l + 1479 + 1192, -3341 = 5*l - 4*a. Let s = l - -672. Solve 40/7*g + 2/7*g**s - 16/7*g**2 - 32/7 = 0 for g.
2, 4
Suppose 3*s - 50 = 5*o, -1 = s + 3*o + 1. Let 38*y**2 + 14 + s*y + 9*y**3 + 3 - 9 + 34*y = 0. What is y?
-2, -2/9
Suppose 4*j = 3*l + 6, -13*l + 9*j = 8*j - 23. Factor 3/4*g**3 + 0 + 5/4*g**l + 1/2*g - 1/4*g**4 - 1/4*g**5.
-g*(g - 2)*(g + 1)**3/4
Let f be ((-36)/280 - 15/(-35))/((-20)/(-1700)). Suppose 27 - 3/2*p**2 + f*p = 0. Calculate p.
-1, 18
Suppose 1250*u + 1479*u = 3258 + 2200. Let f be 0 - (2 - (-32)/(-10)). Suppose -3/5*j**u - f*j + 9/5 = 0. Calculate j.
-3, 1
Let a = -10169053/13 + 782235. Solve a*w**4 - 6/13*w**3 + 0 + 0*w**2 + 0*w = 0.
0, 3
Suppose 4*l + 4*z - 423 = 3*z, -3*z = 2*l - 219. Factor 203*s**4 - l*s**4 + 9*s**3 - 6*s**2 - 101*s**4.
-3*s**2*(s - 2)*(s - 1)
What is c in 765*c**2 + 599 - 1164 - 1545*c + 5*c**3 + 1340 = 0?
-155, 1
Let o(u) be the first derivative of 15*u**4 - 30*u**2 - 5/4*u**5 - 25/4*u - 263/6*u**3 + 98. Factor o(s).
-(s - 5)**2*(5*s + 1)**2/4
Let y(a) be the second derivative of -42*a - 6*a**2 + 1/2*a**4 - 7/3*a**3 + 0. Solve y(g) = 0.
-2/3, 3
Let o(z) be the third derivative of -1/840*z**6 - 3*z**2 + 0*z - 10 + 1/42*z**4 + 2/21*z**3 - 1/420*z**5. Let o(m) = 0. What is m?
-2, -1, 2
Let a be (-7512)/(-7825)*15/2. Determine z so that 0*z - 56/5*z**2 + 24/5*z**4 - a*z**3 + 4/5*z**5 + 0 = 0.
-7, -1, 0, 2
Suppose -10*f = 5*x - 5, 8 = f - 2*x - 5. Let i(t) be the second derivative of 8*t**f + 0 - 18*t**2 - 29*t + 3/4*t**4. Factor i(g).
3*(g + 6)*(3*g - 2)
Find v such that -16/7*v**3 + 1/7*v**4 + 108/7*v - 108 + 9*v**2 = 0.
-3, 6, 7
Let q(r) be the first derivative of r**8/1680 - r**7/420 - r**6/360 + r**5/60 - 2*r**3/3 - 20*r + 35. Let v(z) be the third derivative of q(z). Solve v(w) = 0.
-1, 0, 1, 2
Let t = 289 + -293. Let d be -5 + 12 - (-22)/t. Factor -d*z**3 + 0*z**2 - 3 + 9/2*z.
-3*(z - 1)**2*(z + 2)/2
Let w = 2568 - 2564. Let q(m) be the first derivative of 8/7*m + 12/7*m**3 + 26/7*m**2 - 44/35*m**5 - 13/7*m**w - 7. Find r such that q(r) = 0.
-1, -2/11, 1
Factor -16/5*h**2 + 2/5*h**4 + 12/5*h**3 + 14/5 - 12/5*h.
2*(h - 1)**2*(h + 1)*(h + 7)/5
Factor 54159444049*g**3 + 71760549*g**2 - 32 + 12151331647*g**3 + 21403177900*g**3 + 134352*g - 259786173*g**2.
4*(2799*g - 2)**3
Let z(a) be the third derivative of a**6/240 + 7*a**5/60 - 89*a**4/48 + 19*a**3/2 - 1661*a**2. Suppose z(y) = 0. Calculate y.
-19, 2, 3
Factor 527853 - 1588*q - 184423 + q**2 - 340*q + 585866.
(q - 964)**2
Let z(g) be the second derivative of -1/30*g**6 + 0*g**2 - 1/60*g**5 - g + 1/126*g**7 + 1/12*g**4 + 0*g**3 + 26. What is y in z(y) = 0?
-1, 0, 1, 3
Let b(v) be the second derivative of -v**4/32 + 73*v**3/8 - 15987*v**2/16 + 894*v. Factor b(f).
-3*(f - 73)**2/8
Let r(a) be the third derivative of -a**6/90 - 13*a**5/30 + 7*a**4/3 - 37*a**3/3 + 46*a**2 + a. Let t(o) be the fir