2/9, 1
Let i be (-78 - -97)*(-90)/(-171). Let x = -1 - -3. Factor -5/2*q**x - i - 10*q.
-5*(q + 2)**2/2
Let v(r) be the first derivative of r**3 - 117*r**2 + 888*r - 6013. What is s in v(s) = 0?
4, 74
Let s = 361467 + -361464. Let -18*y**2 + 4*y**s - 20 + 32*y - 1/4*y**4 = 0. What is y?
2, 10
Let g = -19091 + 19094. Factor -15*p**5 + 100/3*p**2 + 50*p**4 + 0 - 185/3*p**g - 20/3*p.
-5*p*(p - 1)**2*(3*p - 2)**2/3
Let u be 2/47 + (-471276)/(-47329). Determine x so that -u*x**5 + 2*x**2 + 8/7 - 40/7*x + 110/7*x**3 - 22/7*x**4 = 0.
-1, 2/7, 2/5, 1
Let y be (4*8)/(-2) - 501426/(-30987). Find m such that -2/11*m**3 - y*m**2 + 0 + 4/11*m = 0.
-2, 0, 1
Let f be (4*(-5)/165)/(2/(-28146)). Let l = 1706 - f. Factor 10/11*v + 8/11 + l*v**2.
2*(v + 1)*(v + 4)/11
Let z(t) = 3*t**4 + 31*t**3 + 60*t**2 + 4*t - 4. Let k(n) = 9*n**4 + 95*n**3 + 180*n**2 + 14*n - 14. Let y(r) = 2*k(r) - 7*z(r). Factor y(g).
-3*g**2*(g + 4)*(g + 5)
Solve -1346/3*n - 1/6*n**2 - 905858/3 = 0.
-1346
Suppose -352*q + 41*q**4 + 287*q**3 + 17 - 535*q**3 - 1 + 504*q**2 = 0. What is q?
2/41, 2
Let q(t) be the second derivative of 2*t**6/15 + t**5 + 7*t**4/3 + 2*t**3 + 3628*t. Factor q(b).
4*b*(b + 1)**2*(b + 3)
Let z(m) be the third derivative of -3 + 0*m + 1/80*m**6 + 1/560*m**7 + 0*m**3 + 3/160*m**5 + 0*m**4 - 7*m**2. Factor z(n).
3*n**2*(n + 1)*(n + 3)/8
Let c(d) be the first derivative of 2/3*d**5 - 1/9*d**6 + 0*d - 4/3*d**4 + 8/9*d**3 - 261 + 0*d**2. Factor c(g).
-2*g**2*(g - 2)**2*(g - 1)/3
Let d(f) be the third derivative of -1/600*f**6 + 0 + 0*f - 102*f**2 - 3/40*f**4 - 2/15*f**3 - 1/50*f**5. Find y, given that d(y) = 0.
-4, -1
Let w = 6/3289 + 463737/6578. Let -135/2*u**4 + w*u**2 - 3/2*u - 3 + 3/2*u**3 = 0. Calculate u.
-1, -1/5, 2/9, 1
Let g(j) be the third derivative of 8/15*j**3 - 1/525*j**7 - 1/15*j**4 + 0 + 1/60*j**6 + 4*j**2 + 0*j - 1/25*j**5. Suppose g(w) = 0. What is w?
-1, 2
Let i(s) be the first derivative of -3/5*s**5 + 0*s - 3/2*s**4 + 4*s**3 - 54 + 12*s**2. Suppose i(v) = 0. What is v?
-2, 0, 2
Let y(r) be the third derivative of -r**8/224 - r**7/10 - 69*r**6/80 - 17*r**5/5 - 5*r**4 - 1614*r**2. Find b such that y(b) = 0.
-5, -4, -1, 0
Suppose 0 = 172*c - 4 - 2 - 5 + 11. Find z, given that -24/5*z**3 + 0*z**2 + 0 + c*z + 2/5*z**4 = 0.
0, 12
Suppose 2*f = -5*r - 463, 4*r - f = 5*r + 95. Let a = r - -226. Let -60*y**4 - 48*y + 213*y**3 - 48*y - 3 - 2 - 7 - a*y**2 = 0. Calculate y.
-1/4, -1/5, 2
Let q(y) be the third derivative of -y**5/510 + 52*y**4/51 + 140*y**3/17 + y**2 + 25*y + 2. Determine i, given that q(i) = 0.
-2, 210
Let s(y) be the second derivative of 489*y**5/140 - 23*y**4/2 + 155*y**3/14 + 6*y**2/7 + 1073*y. Factor s(z).
3*(z - 1)**2*(163*z + 4)/7
Let g(u) = u**2 + 10*u - 1. Let f(q) = -q**2 - 13*q + 1. Let b(y) = -3*f(y) - 4*g(y). Let v(d) = -7*d**2 + 8. Let j(x) = 24*b(x) - 3*v(x). Factor j(t).
-3*t*(t + 8)
Let r(s) be the third derivative of s**5/210 - 193*s**4/14 + 111747*s**3/7 + 4254*s**2. Factor r(u).
2*(u - 579)**2/7
Let m be ((-53)/53)/(13/(-52)). Factor -1/3*o + 14/3*o**3 - 5/2*o**m + 0 - 11/6*o**2.
-o*(o - 1)**2*(15*o + 2)/6
Let -1262 + 132*l**2 + 142 + 40*l + 222*l - 4*l**3 - 77*l + 127*l = 0. What is l?
-4, 2, 35
Find b such that 346/3*b - 46/3*b**4 + 2/3*b**5 + 76*b**3 - 428/3*b**2 - 34 = 0.
1, 3, 17
Let y be (-1 - 0 - (-406)/145)*(-11495)/(-1452). Factor 3/2 - 75/4*o**3 + 30*o**2 + y*o.
-3*(o - 2)*(5*o + 1)**2/4
Let j = -27654 - -27654. Determine r, given that -11/5*r + j - 1/5*r**4 - 9/5*r**3 + 21/5*r**2 = 0.
-11, 0, 1
Suppose -706*z = -709*z - 6. Let c be (z/(-6) - 0) + (-125)/2625. What is f in 6/7*f + 0*f**2 - c*f**3 + 4/7 = 0?
-1, 2
Let i(c) be the first derivative of c**4/6 - 12*c**3 + 324*c**2 - 13*c - 11. Let y(k) be the first derivative of i(k). Factor y(t).
2*(t - 18)**2
Let w(l) = l**4 - 26*l**3 - 26*l**2 + 768*l + 2304. Let f(t) = t**4 - 31*t**3 - 23*t**2 + 768*t + 2304. Let u(v) = 2*f(v) - 3*w(v). Let u(c) = 0. What is c?
-4, 12
Suppose 317*y - 158*y = 160*y. Suppose y = 3*z - 3*c - 18, -8*z + 3*z + 12 = c. Determine d so that -40/3*d**2 + 35/3*d - 5/3 - 80/3*d**z = 0.
-1, 1/4
Find n, given that -6864*n**2 + 6728*n**5 + 11376*n - 6265 - 6732*n**5 - 152*n**4 + 1772*n**3 - 647 = 0.
-48, 2, 3
Suppose -3*l = -4*f + 1 - 48, -3*f = 5*l - 88. Let p be 25*(-4)/l + (-144)/(-24). Let 4/17 - p*t**2 + 2/17*t = 0. Calculate t.
-1, 2
Let y(n) be the second derivative of -1/6*n**2 + 0 + 72*n + 1/180*n**6 + 1/120*n**5 - 1/24*n**4 - 5/36*n**3. Determine h so that y(h) = 0.
-1, 2
Let 0 - 104*x**2 - 68/5*x**3 + 192/5*x = 0. Calculate x.
-8, 0, 6/17
Suppose -1/2*q**4 - 118/5*q**2 - 72/5 - 83/10*q**3 + 234/5*q = 0. Calculate q.
-12, -6, 2/5, 1
Suppose -3*i - 5*z + 2 = 0, -z - 3*z = -i + 12. Suppose 2*s = 2 + 4, -708 = -i*k - 4*s. Suppose -k*x + 83*x - 3*x**2 + 85*x = 0. What is x?
-2, 0
Suppose 171*h - 23040 = -21*h. Suppose 0 + 5/6*z**3 + h*z - 20*z**2 = 0. What is z?
0, 12
Let z be ((-6357)/273 - (-5 + -19))/(3/2 + 1). Determine t, given that 0 + 0*t + z*t**2 = 0.
0
Let k(l) = 44*l + 40. Let t(n) = n**2 - n - 1. Let u = -38 + 37. Let z(v) = u*k(v) - 4*t(v). Factor z(x).
-4*(x + 1)*(x + 9)
Let u(q) be the second derivative of -q**6/240 + 3*q**5/80 + 3*q**4/8 + 5*q**3/6 + 13646*q. Solve u(k) = 0 for k.
-2, 0, 10
Let p(z) be the first derivative of 281 + 20*z + 12*z**2 - 11/3*z**3 - 3/4*z**4. Find j such that p(j) = 0.
-5, -2/3, 2
Let c(b) be the third derivative of b**5/160 + 5*b**4/8 + 111*b**3/16 - b**2 - 288. Factor c(n).
3*(n + 3)*(n + 37)/8
Solve -6/5*o - 2/15*o**3 + 4/5*o**2 + 0 = 0.
0, 3
Let n(y) be the third derivative of 1/9*y**4 + 11*y**2 + 1/18*y**5 + 1/180*y**6 + 0*y**3 + 1 + 0*y. Factor n(q).
2*q*(q + 1)*(q + 4)/3
Let z = -48685 - -48687. Let 0 - 2/3*l**z + 0*l + 2/9*l**3 = 0. What is l?
0, 3
Let t(k) be the third derivative of k**7/735 - k**6/20 + 3*k**5/7 + 4*k**4/3 - 18*k**2 - k - 4. Let t(q) = 0. What is q?
-1, 0, 8, 14
Factor 38*g**3 - 21*g**3 - 4*g**4 + 12*g**2 - 9*g**3 + 116*g + 80 - 44*g**3 - 8.
-4*(g - 2)*(g + 1)**2*(g + 9)
Let w(z) be the first derivative of z**3/21 + 3*z**2/7 - 55*z/7 + 1062. Factor w(d).
(d - 5)*(d + 11)/7
Let y(o) = 2*o**2 - 3*o - 4. Let k be y(9). Suppose -10*m + 131 - k = 0. Factor 2/13*c**3 - 2/13*c - 2/13*c**4 + m + 2/13*c**2.
-2*c*(c - 1)**2*(c + 1)/13
Let o(v) be the third derivative of v**7/42 + 13*v**6/24 + 8*v**5/3 + 25*v**4/6 + 4573*v**2. Factor o(r).
5*r*(r + 1)*(r + 2)*(r + 10)
Determine v so that 0*v + 0 - 8/9*v**4 - 2/9*v**5 + 58/3*v**3 + 60*v**2 = 0.
-10, -3, 0, 9
Let b be 1/2 + (-2349)/(-6). Find k such that 2*k**4 - 118 + 118 + 24*k**3 - b*k - 82*k**3 + 448*k**2 = 0.
0, 1, 14
Let g = 73226/27 + -2712. Let i(d) be the first derivative of -1/36*d**4 + 11 - 1/18*d**2 + 0*d + g*d**3. Factor i(c).
-c*(c - 1)**2/9
Let v(a) be the first derivative of a**5/36 + a**4 + 14*a**3/9 + 2*a**2 - 13*a + 99. Let d(s) be the second derivative of v(s). Factor d(r).
(r + 14)*(5*r + 2)/3
Let p(v) be the third derivative of -v**6/72 + 3*v**5/4 - 205*v**4/18 - 160*v**3/3 + 2926*v**2. Find y, given that p(y) = 0.
-1, 12, 16
Let h(n) be the first derivative of -n**6/4320 + n**5/288 - n**4/72 - 14*n**3 + 19. Let g(r) be the third derivative of h(r). Let g(u) = 0. What is u?
1, 4
Let -725/2*g**3 + 2*g**4 - 8281/2 + 32577/2*g**2 + 25025/2*g = 0. Calculate g.
-1, 1/4, 91
Let u(a) = 125*a**3 + 361*a**2 - 530*a + 26. Let m(l) = -501*l**3 - 1443*l**2 + 2130*l - 105. Let n(f) = 2*m(f) + 9*u(f). Factor n(w).
3*(w - 1)*(w + 4)*(41*w - 2)
Let c be (7/(-3) + 2)*0/(-1038). Suppose 3/7*m**4 - 36/7*m - 27/7*m**3 + c + 60/7*m**2 = 0. What is m?
0, 1, 2, 6
Suppose 112*d - 47*d = 0. Suppose 3*z - 2*j - 15 = d, 17*j = -3*z + 22*j + 24. Determine i, given that 0 + 2/3*i**2 + 2/3*i**z + 0*i = 0.
-1, 0
Let p be ((-42)/4)/1*1*-2. Suppose 439*k**3 - 462*k**3 - 16 + 5*k**4 + k**5 + k + 11*k**2 + p*k = 0. Calculate k.
-8, -1, 1, 2
Let g(j) be the third derivative of -j**7/42 - 25*j**6/12 + 53*j**5/3 - 45*j**4 - 819*j**2. Find p, given that g(p) = 0.
-54, 0, 2
Let d be (42/(-30) - -1)*-5. Factor -144 - 124 + 252 - 4*m + 2*m**d.
2*(m - 4)*(m + 2)
Let g(k) be the third derivative of 81*k**2 - 1/60*k**4 - 4/15*k**3 + 0 + 1/300*k**5 + 0*k. Factor g(j).
(j - 4)*(j + 2)/5
Let y(q) = -21*q**3 - 111*q**2 + 80*q + 13. Let g(n) = -10*n**3 - 55*n