d = -313 + 434. Determine s so that -5*s**3 + 3*s**3 + 6*s**3 - 261*s**2 - 48*s + 124*s**2 + d*s**2 = 0.
-2, 0, 6
Let l(d) be the third derivative of -d**7/525 + d**6/5 - 393*d**5/50 + 358*d**4/3 + 560*d**3 + 229*d**2 - 11*d. Solve l(y) = 0.
-1, 20, 21
Let s(h) be the first derivative of 0*h**2 - 40 - 7/6*h**3 + 13/8*h**4 + 0*h - 1/2*h**5 - 1/12*h**6. Let s(u) = 0. What is u?
-7, 0, 1
Let c = 177 - 174. Find m such that -c*m + 82 - 37 + 3*m**2 - 45 = 0.
0, 1
Let x be (49/35)/(-13 + (20 - 5)). Factor 8/5 - x*q**2 - q + 1/10*q**3.
(q - 8)*(q - 1)*(q + 2)/10
Let i be (1*(-1)/1)/(5/(-165)). Suppose -17*d = -6*d - i. Determine y so that 5*y**2 - 4*y**3 + 2*y**3 - d*y**2 = 0.
0, 1
Let s = 16557 + -16553. Let r(v) be the first derivative of -2*v + 5/4*v**6 + 34 + 7/2*v**3 - v**2 + 1/8*v**s - 29/10*v**5. Determine o so that r(o) = 0.
-2/3, -2/5, 1
Let k(a) = 2*a + 44. Let j(x) = -2. Let u(y) = -36*j(y) - 2*k(y). Let w be u(-5). Find q, given that -12*q**w - 15 + 15 + 8*q + 2*q**5 - 24*q**2 + 26*q**3 = 0.
0, 1, 2
Let h be 20/(-4) - (2 + -6). Let v be (h + 14/(-6))*(-120)/100. Suppose 0*l - 2/5*l**v + 2/5*l**2 + 0 + 0*l**3 = 0. Calculate l.
-1, 0, 1
Let c(r) be the second derivative of -r**5/60 + 65*r**4/9 - 425*r**3/6 - 2854*r. Determine g so that c(g) = 0.
0, 5, 255
Suppose 162 = 3*s + g, 5*g + 22 = 2*s - 86. Suppose -s*t - 12 = -58*t. Factor 14/9*l**t + 2*l + 0 + 10/3*l**2 + 2/9*l**4.
2*l*(l + 1)*(l + 3)**2/9
Let p(x) = -113*x + 1593. Let t be p(14). Suppose -1 = -3*i + 11. Determine s so that 3*s**3 - 4 - 7*s + s**3 + i*s**2 + t*s - 8*s = 0.
-1, 1
Suppose -17*z + 14*z + k = -4, 4*k - 6 = z. Let g be 2 - ((-5)/2 + 0). What is r in -11*r**z - g - 1/2*r**4 - 4*r**3 - 12*r = 0?
-3, -1
Let g(k) be the third derivative of -1/24*k**4 - 18*k**2 + 1/4*k**3 + 0*k - 1/120*k**5 - 2. Suppose g(f) = 0. What is f?
-3, 1
Let x(l) be the second derivative of l**7/42 - 2*l**6/15 - 11*l**5/20 + 13*l**4/6 + 14*l**3/3 - 20*l**2 + 3078*l. Solve x(y) = 0 for y.
-2, 1, 2, 5
Let s(q) be the first derivative of q**5/3 + 5*q**4/24 - 25*q**3/6 + 3*q**2/2 - q + 68. Let g(b) be the second derivative of s(b). Let g(x) = 0. What is x?
-5/4, 1
Let f = -77/2 - -239/6. Suppose 4 = 4*v + 4*k - 4, -5*k = 3*v - 6. Solve -2*a - 2/3*a**v - f = 0 for a.
-2, -1
Let a be ((12/(-15))/((-315)/(-75)))/(3/(-72)). Let j be 1 + (33/15 + -2)*15. Suppose -a*w**2 + 0 + 6/7*w**3 - 8/7*w**5 + 22/7*w**j - 8/7*w = 0. Calculate w.
-1, -1/4, 0, 2
Let o = 402 + -2150. Let w = o - -1750. Determine i so that 15*i**4 + 7/3*i**5 + 109/3*i**3 + 64/3*i + 41*i**w + 4 = 0.
-2, -1, -3/7
Let -69/5*p - 16/5 + 3*p**5 - 52/5*p**2 + 68/5*p**4 + 54/5*p**3 = 0. Calculate p.
-16/5, -1, -1/3, 1
Suppose 4*d - 993*v + 1002*v = 133, 0 = 2*d + 5*v - 73. Factor 0*n**3 - 2/13*n**d + 6/13 + 12/13*n**2 - 16/13*n.
-2*(n - 1)**3*(n + 3)/13
Suppose -b + 3*m = b - 13, 0 = b + 5*m. Let t be (-2)/10 - -1*36/b. Let 3 + t - o**3 - 5*o - 10*o**2 + 6*o**3 = 0. Calculate o.
-1, 1, 2
Let h(z) = -z**3 + 26*z**2 + 28*z - 2. Let l be h(27). Factor -l - 20 - 3*k**2 + 3 - 45*k.
-3*(k + 1)*(k + 14)
Solve -84 + 18*d**2 + d**2 - 65*d - 7*d**2 + 4*d**2 + 2*d**2 - d**3 = 0 for d.
-1, 7, 12
Let x(m) be the first derivative of m**3/3 - 23*m**2/2 - 47*m/4 + 5575. Factor x(a).
(2*a - 47)*(2*a + 1)/4
Let t(d) be the first derivative of 4*d**3/27 + 134*d**2/9 + 312*d - 98. Determine i, given that t(i) = 0.
-54, -13
Let i(f) be the third derivative of f**7/315 - f**6/90 - f**5/18 + f**4/6 + 173*f**2 - 5*f. Solve i(b) = 0.
-2, 0, 1, 3
Let f(i) be the second derivative of i**6/50 + 21*i**5/100 + 7*i**4/20 - 3*i**3/2 + 81*i + 3. Factor f(s).
3*s*(s - 1)*(s + 3)*(s + 5)/5
Factor 1519683 - 20*r**2 + 153*r - 121*r**2 - 1519695.
-3*(r - 1)*(47*r - 4)
Let w = -2/451299 + 55961086/2256495. Let -256/5 - 528/5*b**2 - 2*b**4 + w*b**3 + 832/5*b = 0. Calculate b.
2/5, 4
Let l = 8338269/1549 - 5383. Let z = 111518/7745 + l. Find x, given that 2/5*x**5 - 4*x**4 + 0 + 64/5*x - 112/5*x**2 + z*x**3 = 0.
0, 2, 4
Let y(o) be the first derivative of -3*o**4/5 - 2*o**3/5 - o**2/10 + 21*o - 57. Let r(i) be the first derivative of y(i). Factor r(k).
-(6*k + 1)**2/5
Suppose -3*x = 4*a + 22, -85 + 98 = -4*x - 3*a. Let m(j) be the second derivative of 1/24*j**4 + 1/6*j**3 + 0 + 2*j - 3/4*j**x. Suppose m(u) = 0. What is u?
-3, 1
Let r(h) be the third derivative of -h**5/20 + 2139*h**4/8 + 1070*h**3 + 4*h**2 + 74*h. Factor r(m).
-3*(m - 2140)*(m + 1)
Let s be (30/(-11) - -3) + 11304/(-155430). What is j in -9/5*j + 1/5*j**3 + 9/5 - s*j**2 = 0?
-3, 1, 3
Let x = -32 - 41. Let k = 78 + x. Factor -k*i**4 + 3*i**4 - i**5 - 3*i**5 - 6*i**4.
-4*i**4*(i + 2)
Suppose -103*n + 3 = -102*n. Suppose -2 - 14*s**2 + 14*s - 88*s**4 - 52*s**n + 6*s**3 + 104*s**4 + 32*s**5 = 0. Calculate s.
-1, 1/4, 1
Let i(l) = 5*l**2 - 34*l + 110. Let p be i(7). Let k(b) be the first derivative of -50*b**4 + 20/3*b**3 + 2 - 135/2*b**6 + 0*b**2 + p*b**5 + 0*b. Factor k(u).
-5*u**2*(u - 1)*(9*u - 2)**2
Let s(v) be the second derivative of -5*v**4/6 - 365*v**3/12 - 180*v**2 + 1588*v. Factor s(i).
-5*(i + 16)*(4*i + 9)/2
Let g = -231 - -246. Determine m so that 64*m - 2*m**2 + g - 79 - 2*m**4 + 0*m**3 + 14*m**2 - 10*m**3 = 0.
-4, 1, 2
Let k(l) be the first derivative of -8*l + 1/3*l**2 + 41 + 2/9*l**3. Factor k(m).
2*(m - 3)*(m + 4)/3
Let f(w) be the first derivative of -2*w**3/27 + 346*w**2/9 + 243. Factor f(u).
-2*u*(u - 346)/9
Let i = -1654162/5 - -330834. Solve 3/5 + j**2 + i*j = 0.
-1, -3/5
Factor 22/5*f**2 + 24/5 - 1/5*f**3 - 1/5*f**4 - 44/5*f.
-(f - 2)**2*(f - 1)*(f + 6)/5
Let g(i) be the second derivative of i**5/10 - i**4/6 - 2*i**3 - 687*i. Factor g(d).
2*d*(d - 3)*(d + 2)
Suppose -3*z = k - 737, 5*z + 12*k = 8*k + 1233. Factor -65*g**3 + z*g - 179*g**2 + 4*g**2 - 7*g**4 + 2*g**4.
-5*g*(g - 1)*(g + 7)**2
Let t be -7*(-13)/(-1092)*-36. Factor -134/13*q**2 - 2/13*q**t + 2312/13 - 2176/13*q.
-2*(q - 1)*(q + 34)**2/13
Let i(s) be the third derivative of -s**5/150 - 4*s**4/5 + 20*s**3/3 + 473*s**2 - 1. Let i(t) = 0. What is t?
-50, 2
Suppose 0 - 68/3*k + 4/3*k**3 - 64/3*k**2 = 0. What is k?
-1, 0, 17
Let l(y) be the third derivative of -y**7/35 + 97*y**6/80 - 123*y**5/10 + 765*y**4/16 - 81*y**3/2 - 769*y**2. What is k in l(k) = 0?
1/4, 3, 18
Let m(b) be the first derivative of 3*b**5/5 - 75*b**4/2 + 93*b**3 + 216*b**2 - 13332. Find y such that m(y) = 0.
-1, 0, 3, 48
Let k be (-54)/(-1215)*-15*(0 - 6). Factor -a**2 + 3/4*a**3 + a**k + 1/4*a**5 - a + 0.
a*(a - 1)*(a + 1)*(a + 2)**2/4
Let v = 989 + -976. Let t be v/((-637)/28)*28/(-8). Suppose -2/5*m + 4/15*m**t + 0 + 2/15*m**3 = 0. What is m?
-3, 0, 1
Let h(c) be the second derivative of c**7/1050 - c**6/75 + 7*c**5/300 - 75*c**2/2 - 6*c - 7. Let f(a) be the first derivative of h(a). Factor f(s).
s**2*(s - 7)*(s - 1)/5
Let x(d) = 92*d - 1639. Let r be x(18). Let i(p) be the first derivative of -2*p - p**2 + 1/2*p**4 + 2/3*p**3 - r. Factor i(l).
2*(l - 1)*(l + 1)**2
Let g(a) = -a**2 - 2*a + 1. Let r be g(-2). Let s(w) = -6046*w**2 - 436*w - 8. Let c(p) = -p**2 - p. Let l(f) = r*s(f) + 4*c(f). Find d, given that l(d) = 0.
-2/55
Determine o so that -32*o**4 - 34*o**2 - 3/2*o**5 + 0*o + 0 - 225/2*o**3 = 0.
-17, -4, -1/3, 0
Let t(y) be the third derivative of -y**8/4200 + y**7/420 - 45*y**3 - 119*y**2 + 2. Let k(n) be the first derivative of t(n). What is m in k(m) = 0?
0, 5
Let h be (5 - -4) + (-2)/(-1). Suppose 5*b + 30 = h*b. Solve 9*u**3 + 161*u + 9*u**4 - 2*u**4 + b*u**4 - 173*u - 12*u**2 + 3*u**5 = 0 for u.
-2, -1, 0, 1
Let p(n) = -2*n**2 - 1264*n + 1257. Let a(f) = -1264*f + 1258. Let o(d) = -3*a(d) + 2*p(d). Solve o(r) = 0.
1, 315
Factor -23/2*h - 10 + 1/4*h**3 - 5/4*h**2.
(h - 10)*(h + 1)*(h + 4)/4
Let y be 74 + (-4 + 2)*3. Let d be 8/y + 14/595*-5. Factor 2/17*b**2 - 2/17*b**3 + 2/17*b - 2/17*b**4 + d.
-2*b*(b - 1)*(b + 1)**2/17
Let s = -505000 + 2525016/5. Solve -4/5*a**2 - 28/5*a + 2/5*a**4 - s + 11/5*a**3 - 1/5*a**5 = 0.
-2, -1, 2, 4
Let z be (-6)/(-4)*(-358348)/(-303). Let y = z - 5306/3. Let 100/3*d**2 + 64/3*d + 4/3*d**5 + y + 76/3*d**3 + 28/3*d**4 = 0. Calculate d.
-2, -1
Let k = 20502/197 + -72355/788. Suppose 1/4*m**2 + 0 - k*m = 0. What is m?
0, 49
Let f(m) be the first derivative of m**8/560 + 11*m**7/2520 + m**6/540 - 28*m**3/3 - 22. Let j(p) be the th