 64/3*x - 4/3 = 0.
1/8
Let g(d) be the first derivative of 41 + 2/3*d**3 + 0*d + 17*d**2. Suppose g(f) = 0. What is f?
-17, 0
Determine l so that -36/5*l - 1/5*l**5 - 12/5*l**2 + 2/5*l**4 + 0 + 11/5*l**3 = 0.
-2, 0, 3
Let w be -7 + 1 + 3 + 300/2. Suppose i = x + 30, -4*x = -3*i - 2*i + w. Factor 2*l**4 + l**4 + i*l**5 - 4*l**2 - 26*l**5.
l**2*(l - 1)*(l + 2)**2
Let s = 22496/3 - 7498. Solve 0 + 0*i - 5/6*i**3 - s*i**2 - 1/6*i**4 = 0 for i.
-4, -1, 0
Factor 363/5*c + 378/5 - 18/5*c**2 - 3/5*c**3.
-3*(c - 9)*(c + 1)*(c + 14)/5
Let u(p) be the second derivative of p**8/4200 - p**7/700 + p**5/75 - p**3/6 - 11*p**2/2 - 19*p. Let a(l) be the second derivative of u(l). Factor a(z).
2*z*(z - 2)**2*(z + 1)/5
Let y(o) be the third derivative of 1 - 2/3*o**3 + 1/15*o**5 - 10*o**2 + 1/42*o**4 - 1/210*o**6 + 0*o. Factor y(j).
-4*(j - 7)*(j - 1)*(j + 1)/7
Suppose -17146 = -4*h - 3*t, 5*t - 9*t = 2*h - 8578. Let p = -89969/21 + h. Factor -4/7*r**2 - p + 8/7*r + 2/21*r**3.
2*(r - 2)**3/21
Let n(t) = 9*t**4 - 6*t**3 - 15*t**2 + 81*t - 42. Let i(d) = 2*d**4 + d**3 + 2*d**2 + 4. Let j(y) = 3*i(y) - n(y). Determine p, given that j(p) = 0.
-3, 1, 2, 3
Let z(g) = -965*g**3 + g. Let x be z(-1). Suppose -4*p = d - 284 + 58, -4*d = -4*p - x. Factor -d*b - 4*b**2 + 6 + 262*b + 22.
-4*(b - 7)*(b + 1)
Let w be 19/15 + (-2)/3. Let k be 5*(-3)/(-6)*1064/1330. Factor w*i**k - 6/5*i + 0.
3*i*(i - 2)/5
Let q = 257573 - 772715/3. Solve 0 - q*f**3 + 0*f + 4*f**2 = 0 for f.
0, 3
Let p = -1755 + 1759. Let h be 0 - -1 - p*8/(-32). Find i, given that 38/7*i**3 + 2/7*i**5 - 8/7 + 32/7*i - 50/7*i**2 - h*i**4 = 0.
1, 2
Let j be (-3 + 0)*(1 + -1 + -1). Let k be j/7 - 63/147. Find o such that 3/5*o**3 + k + 0*o**2 - 12/5*o = 0.
-2, 0, 2
Determine u, given that -30*u**2 + 4352 - 3702 + 535*u - 80*u**2 + 4*u**3 + 5*u**3 - 4*u**3 = 0.
-1, 10, 13
Let g(r) = 3*r**4 + 21*r**3 - 24*r**2 - 288*r - 402. Let y(x) = x**3 - x**2 + 10. Let q(c) = g(c) - 3*y(c). Solve q(l) = 0.
-4, -3, 4
Let i be 9*1/3 - (-2 + 1). Suppose -i*c + 14 = 3*h, -h + 3*c = 2*h. Solve -2*n**5 + 8*n - 10*n**h + 3*n + 4*n + 10 + 7*n**5 - 20*n**3 = 0.
-1, 1, 2
Suppose 3*y - 3 = -f, 13692*y - 13687*y = 3*f + 61. Determine w, given that -2/3*w**y + 0*w + 4/3*w**2 + 0 + 8/3*w**4 - 10/3*w**3 = 0.
0, 1, 2
Let f be 1*4/(-26) + (10/7 - (-97440)/(-76440)). Find l, given that 2/5*l**3 - 8/5*l**2 - 2*l + f = 0.
-1, 0, 5
Let q(n) = -91 + 11*n**2 - 96 - 97 + 308 - 2*n - 27*n. Let p be (-2)/1 - (-9 - -2). Let g(z) = 6*z**2 - 15*z + 12. Let k(u) = p*g(u) - 3*q(u). Factor k(x).
-3*(x - 2)**2
Let n(t) = -6*t**2 - 12*t + 15. Let p(i) = -i**3 + 5*i**2 + 12*i - 14. Let y(w) = -w**2 + 3*w - 5. Let q be y(2). Let u(h) = q*p(h) - 2*n(h). Factor u(z).
3*(z - 2)*(z - 1)*(z + 2)
Let s(i) = 320*i**2 + 12*i + 5 - 318*i**2 + 0. Let x be s(-6). Find z, given that -3*z**2 - 820*z + 4*z**3 + x*z**3 + 3*z**4 + 814*z - 3*z**5 = 0.
-1, 0, 1, 2
Let q(r) be the second derivative of r**8/1344 + r**7/1260 - r**6/36 - r**5/15 + 251*r**4/12 + 83*r. Let b(j) be the third derivative of q(j). Factor b(a).
(a - 2)*(a + 2)*(5*a + 2)
Determine w so that -65/7*w**2 - 1/7*w**3 - 9375/7 - 1375/7*w = 0.
-25, -15
Factor -16*u + 1/2*u**2 - 105/2.
(u - 35)*(u + 3)/2
Let f(z) = 2*z**3 - 18*z**2 - 325*z + 21. Let d be f(18). Factor 45/7 + 15/7*n**2 - 59/7*n - 1/7*n**d.
-(n - 9)*(n - 5)*(n - 1)/7
Suppose -7*f - 16 = -11*f. Determine h, given that -125*h**3 - 57*h + 62*h - 20 - 85*h**3 - 18*h**f - 314*h**2 - 147*h = 0.
-10, -1, -1/3
Suppose -31*s + 36*s - 35 = 0. Let -599*x**3 + 5*x**2 + 7 - s - 8*x**4 + 602*x**3 = 0. Calculate x.
-5/8, 0, 1
Let c(g) = -63*g**2 - 6109*g + 197. Let m be c(-97). Factor -8/3*p**m - 7/3*p**2 + 0*p - 1/3*p**4 + 0.
-p**2*(p + 1)*(p + 7)/3
Let o be -11 + (-580)/(-40) - 3/2 - -3. Let q = -5 + 8. Let o*g**3 - g**3 - 4*g**2 + 0*g**q = 0. Calculate g.
0, 1
Suppose 1851 = 1464*o - 2267 - 274. Factor 2/15*k**4 - 8/15*k**o + 2/3*k**2 - 4/15*k + 0.
2*k*(k - 2)*(k - 1)**2/15
Suppose 3*m - m = r + 55, -5*r + 25 = 2*m. Let z = m + -20. Determine i so that z*i**2 + 3*i - 3*i - 10*i - 15 = 0.
-1, 3
Let b(i) be the third derivative of 37*i + 1/140*i**5 - 15/28*i**4 + 0 + 225/14*i**3 + 2*i**2. Factor b(k).
3*(k - 15)**2/7
Let u(x) be the first derivative of -2/3*x - 1/12*x**4 + 0*x**3 + 1/2*x**2 - 73. Factor u(v).
-(v - 1)**2*(v + 2)/3
Suppose 4*d + 3*k = 19, -2*d - 2*k - 10 = -5*d. Determine y so that 2*y**5 - 10*y**3 + 13*y**2 + y**2 + 2*y**2 - y + 7*y - 10*y**5 - d - 24*y**4 = 0.
-2, -1, 1/2
Factor -417/8 + 209/4*t - 1/8*t**2.
-(t - 417)*(t - 1)/8
Let d(g) be the first derivative of -3*g**4/4 - 29*g**3 - 165*g**2/2 - 81*g + 292. Let d(c) = 0. Calculate c.
-27, -1
Let a(n) = -16*n**2 - 11426*n + 16267637. Let l(k) = -9*k**2 - 5714*k + 8133809. Let v(y) = 5*a(y) - 9*l(y). Factor v(w).
(w - 2852)**2
Factor 223*l**3 - 2240*l - 104*l**3 + 174*l**2 + 2*l**4 - 45*l**3 + 1600 + 390*l**2.
2*(l - 2)*(l - 1)*(l + 20)**2
Suppose -792 = 2*q - 5*q. Let t = q - 145. Let -20 - 106 - 5*i**2 - 13*i - t + 83*i = 0. Calculate i.
7
Determine v, given that 2/21*v**4 + 0 - 94/7*v**2 - 150/7*v - 38/21*v**3 = 0.
-3, 0, 25
Suppose 141 = -2*z + 147, 0 = 5*v + 3*z + 1. Let k be (-1 - v)/13 - 89359/(-12545). Solve 84/5*r - k + 3*r**2 = 0 for r.
-6, 2/5
Let v(b) be the first derivative of 2/33*b**3 + 28/11*b + 9/11*b**2 - 144. Let v(x) = 0. Calculate x.
-7, -2
Suppose -4*o = -2*q - 2*q - 12, -5*o = 2*q - 1. Let n be ((-12)/(-6) + -2)/q. Factor -1/4*r**4 + 0*r + n*r**3 + 0 + 0*r**2.
-r**4/4
Let m be (0 - 68)/((-12)/6). Let n = m + -30. Let -6/5*i**5 - 12/5*i**2 + 16/5*i**n + 14/5*i - 4/5 - 8/5*i**3 = 0. Calculate i.
-1, 2/3, 1
Suppose 443*q + 42 = 457*q. Let z(u) be the third derivative of 11*u**2 + 0 + 0*u**5 + 0*u + 1/21*u**q + 1/56*u**4 - 1/840*u**6. What is k in z(k) = 0?
-1, 2
Let o(b) be the second derivative of -b**5/15 - 2*b**4/9 + 2*b**3/9 + 4*b**2/3 - 509*b + 1. Factor o(i).
-4*(i - 1)*(i + 1)*(i + 2)/3
Let f(c) be the first derivative of -5*c**4/2 + 434*c**3/3 - 866*c**2 + 624*c + 1420. Solve f(p) = 0 for p.
2/5, 4, 39
Let k be ((-27)/(-5))/((-225)/(-750)). Let v be (10/k)/(36/162) - 2. Factor 1/2*o**2 + 0 + v*o.
o*(o + 1)/2
Let r be (171 - 179 - 97/(-3)) + -24. Suppose 5/3*b + 2 - r*b**2 = 0. Calculate b.
-1, 6
Let r = -12124 - -12124. Let y(c) be the first derivative of r*c**2 + 4/55*c**5 + 13 + 0*c**3 + 1/22*c**4 + 0*c + 1/33*c**6. Solve y(g) = 0.
-1, 0
Suppose 3/11*l**4 + 1/11*l**5 - 4/11*l**2 + 0*l + 0 + 0*l**3 = 0. What is l?
-2, 0, 1
Let p(t) = -134*t + 940. Let w be p(7). Let q(k) be the second derivative of 17*k + 0 - 1/7*k**4 - 4/7*k**3 - 8/7*k**w - 1/70*k**5. Suppose q(h) = 0. What is h?
-2
Suppose -5 - 58 = -3*l. Find j, given that -390*j**4 - 296*j**2 - 48*j - 12 - 588*j**3 + l - 50*j**5 - 9 = 0.
-6, -1, -2/5, 0
Let g = 95116 - 95114. Let 8/5 + 22/5*h**g + 48/5*h = 0. What is h?
-2, -2/11
Factor -367*b - 576 - 32*b**2 - 2*b**3 + 21*b**2 - 17*b - 41*b**2.
-2*(b + 2)*(b + 12)**2
Let h(c) be the third derivative of -c**6/60 + 31*c**5/210 + 47*c**4/21 + 32*c**3/7 - 1571*c**2 - c. Let h(t) = 0. Calculate t.
-3, -4/7, 8
Let p be (-7824)/(-10) - 5/(-100)*-8. Let q be 3/(-5) - p/(-170). Find m, given that -8/9*m + 4/9*m**2 + 1/9*m**5 + 0 - 5/9*m**q + 2/3*m**3 = 0.
-1, 0, 2
Suppose -5*m - 17 + 32 = 0. Let -3*r**4 - 5*r**4 + 7*r + 54*r**2 - 7*r**4 - 87*r + 46*r**2 + 40*r**m = 0. Calculate r.
-2, 0, 2/3, 4
Let j be ((-1)/(-15))/((-172)/(-4128)). Factor 2/5*s**2 - 2*s + j.
2*(s - 4)*(s - 1)/5
Let k(t) = -t**3 - t**2 - 5*t + 1. Let r(d) = -d**3 + 999*d**2 + 25*d - 999. Let u(j) = 4*k(j) + r(j). Find f, given that u(f) = 0.
-1, 1, 199
Suppose -13*w + 6 = -10*w. Suppose -d - w = -2*d. Solve 8*m + 2*m**2 + m**2 + 2*m**2 - 10*m**d + m**3 - 4 = 0.
1, 2
Let i(f) = -4*f**2 + 7*f + 3. Let r be i(0). Let z(h) = h**2 + 18*h - 40. Let t be z(-20). Determine s so that -4/3*s + 4/3*s**2 + s**r + t = 0.
-2, 0, 2/3
Let z(x) = 708*x**3 + 30804*x**2 - 19753072*x - 19783872. Let h(y) = 221*y**3 + 10268*y**2 - 6584357*y - 6594624. Let k(j) = 16*h(j) - 5*z(j). Factor k(c).
-4*(c - 1284)**2*(c + 1)
Let h = -15488 - -15493. Let g(r) be the first derivative of 1/10*r**4 + 0*r**2 - 3/25*r**5 + 1/30*r**6 - h + 0*r**3 + 0*r. Suppose g(p) = 0. What is p?
0, 1, 2
Let w(h) = 20*h**2 - 140*h + 405. Let b(a) = a**