.
-s*(s + 1839)/7
Suppose 3*j + 331 = 4*o, 0 = -3*o + 4*j - 3*j + 242. Let r = -77 + o. Factor -27 - c + 4*c**r + 24 + 12*c.
(c + 3)*(4*c - 1)
Suppose 0*s = -5*s + 4*u - 5, -2*u = 2*s - 16. Suppose -2*r + 2 = 2*x, -2*x = -s*r + 7 + 6. Factor 5 + 3 - 8*m + 3*m**2 + 9*m**r + 6 - 18.
(m - 1)*(3*m + 2)**2
Let 1/3*o**3 + 44408*o - 731/3*o**2 + 44652 = 0. Calculate o.
-1, 366
Let c(d) = d**3 - 25*d**2 + 982*d - 21525. Let q be c(23). Factor -20184/7*n - 348/7*n**2 - 390224/7 - 2/7*n**q.
-2*(n + 58)**3/7
Suppose 1 = j - 37*j + 1. Let m(z) be the third derivative of -1/4*z**5 + 1/24*z**6 + 0*z**3 + 5/12*z**4 + 25*z**2 + j + 0*z. Suppose m(t) = 0. Calculate t.
0, 1, 2
Let w(k) be the second derivative of -9*k**2 + 0 + 62*k - 21/20*k**5 - 1/30*k**6 - 55/6*k**3 - 19/4*k**4. Factor w(u).
-(u + 1)**3*(u + 18)
Let d be (63 - 57)*(-10)/12 + 7. Suppose 1/2*t**d + 1/2 - 3/4*t**3 + 7/4*t = 0. What is t?
-1, -1/3, 2
Suppose -4*a = -a + 735. Let i = a + 446. Let -221*q**2 + 4*q**3 + i*q**2 + 20*q - 4*q = 0. What is q?
0, 1, 4
Let t(r) be the first derivative of r**7/280 - 7*r**5/40 - 3*r**4/4 + 100*r**3/3 - 87. Let i(c) be the third derivative of t(c). Factor i(j).
3*(j - 3)*(j + 1)*(j + 2)
Let r(j) be the first derivative of -4/9*j**3 - 1/3*j**5 - 2/3*j**2 + 13/12*j**4 + 0*j + 93. Find c such that r(c) = 0.
-2/5, 0, 1, 2
Let y(m) = -37*m**2 + 1396*m + 383. Let v be y(38). What is b in -v*b + 0 + 7/4*b**3 + 1/4*b**4 + b**2 = 0?
-6, -2, 0, 1
Let f(u) be the second derivative of u**4/12 + u**3/6 + u**2 - 106*u. Let t be f(-2). Factor 26/3*x + 2/3*x**t + 10*x**2 + 8/3 + 14/3*x**3.
2*(x + 1)**3*(x + 4)/3
Let c = -95345/3 - -31419. Let f = c + 363. Let 8/3*m + 6*m**3 + 20/3*m**2 + f*m**5 + 0 + 7/3*m**4 = 0. Calculate m.
-2, -1, 0
Let h(c) be the second derivative of 32/7*c**3 - 44/35*c**5 + 6/49*c**7 - 32*c - 92/21*c**4 + 0*c**2 + 0 + 2*c**6. Find i, given that h(i) = 0.
-12, -1, 0, 2/3
Let c(p) = -20*p + 182. Let s be c(9). Factor -19*w**2 + 3375 - 249*w + 64*w**s - 426*w - w**3.
-(w - 15)**3
Let j = -427 - -430. Let j*a**4 - 7*a**2 + 21*a - 135*a**3 + 4*a**2 + 114*a**3 = 0. What is a?
-1, 0, 1, 7
Let i(f) = -3*f**5 + f + 1. Let y(a) = -7*a**5 + 71*a**4 + 30*a**3 - 221*a**2 + 89*a + 37. Let x(j) = -2*i(j) + 2*y(j). Solve x(l) = 0.
-2, -1/4, 1, 18
Let b = -843155/4 - -210803. Determine h so that 67/4*h**3 + 17/4*h - 13/2*h**4 - 1/4 - b*h**2 = 0.
1/13, 1/2, 1
Let p(l) be the second derivative of l**2 - 3/20*l**5 + 43/30*l**4 - 2 - 18*l - 19/10*l**3. Factor p(n).
-(n - 5)*(3*n - 1)*(5*n - 2)/5
Let h(y) be the third derivative of 7*y**6/60 + 568*y**5/15 + 15417*y**4/4 + 4374*y**3 - 1963*y**2. Find k such that h(k) = 0.
-81, -2/7
Let r = 730492 - 730426. Let 14/3*h + 2 - r*h**3 - 26*h**2 = 0. Calculate h.
-1/3, 3/11
Let h = -5333/2 - -2668. Let u be 178/72 + (364/63 - 6). Factor -u - 1/4*m**2 + h*m.
-(m - 3)**2/4
Let i(c) be the second derivative of -5*c**4/12 - 38*c**3/3 + 32*c**2 - 1943*c. What is v in i(v) = 0?
-16, 4/5
Let q be 6786/270 + (-20)/(-100). Factor 0 + q*d + 4/3*d**2.
4*d*(d + 19)/3
Let s(z) = 226*z**3 - 3*z**2 + 5*z - 4. Let f be s(2). Find g, given that -1802 - g**3 + f - g**2 + 2*g = 0.
-2, 0, 1
Let h(k) be the second derivative of 29*k**8/4480 - k**7/840 - 67*k**4/12 - 4*k - 2. Let a(q) be the third derivative of h(q). Factor a(w).
3*w**2*(29*w - 2)/2
Let p(x) be the third derivative of -3/5*x**5 - 72*x**3 + 0*x + 1/6*x**6 + 2/105*x**7 - 27/2*x**4 + 0 + 64*x**2. Factor p(l).
4*(l - 4)*(l + 3)**3
Let j(n) be the first derivative of -6*n**5/5 + 92*n**4 - 7390*n**3/3 + 23446*n**2 + 34656*n + 2056. What is a in j(a) = 0?
-2/3, 19, 24
Factor 1351*w - 4*w**2 - 3171*w - 149 - 159 + 1508*w.
-4*(w + 1)*(w + 77)
Suppose -5*x - 17*c = -12*c - 15, 3*x - 2*c = 14. Factor x*k**3 + 20*k**2 - 24*k - 28*k + 0*k**3 - 111 + 139.
4*(k - 1)**2*(k + 7)
Let h(r) = 255*r**2 + 13*r + 17. Let m be h(-8). Factor -m*g**3 + 16234*g**3 + g**4 - g**2 - g**2.
g**2*(g - 1)*(g + 2)
Let n(c) = 8*c**2 - 12*c + 7. Let p be n(1). Suppose p*g - 4 = -2*j + 2*g, 4*g - 16 = -3*j. Factor 2/5*r**4 + 26/5*r**2 + j + 12/5*r + 16/5*r**3.
2*r*(r + 1)**2*(r + 6)/5
Find m such that -148*m**2 + 2/5*m + 148 - 2/5*m**3 = 0.
-370, -1, 1
Let z = 36 - 31. Suppose -7 - z = -4*s. Factor -4*i**4 - 3*i**3 + 0*i**4 + i**4 + 0*i**s.
-3*i**3*(i + 1)
Let u(i) be the second derivative of -5*i**7/168 - 15*i**6/4 - 1933*i**5/16 + 1725*i**4/4 - 2645*i**3/6 - 592*i. Solve u(x) = 0.
-46, 0, 1
Determine g, given that -4*g**3 - 3*g**4 + 0*g**3 - 600 - 8*g**3 + 81*g**2 - 73*g + 141*g + 142*g = 0.
-5, 2, 4
Suppose -824 = -32*h - 56. Suppose -z = -2*v + 2, -3*v - h*z + 22*z = -17. Suppose -9/4*j + 3/4*j**2 - v = 0. What is j?
-1, 4
Let u be ((-884)/7514)/(-3*3/51). Solve -u*a**5 + 28/3*a - 26/3*a**3 - 10*a**2 + 0 + 10*a**4 = 0 for a.
-1, 0, 1, 14
Factor -p**3 + 24 + 159898*p**2 - 11*p**3 + 32*p - 159904*p**2 + 2*p**4.
2*(p - 6)*(p - 2)*(p + 1)**2
Suppose 3*v + 6 = -2*b, -3*v - 23 = -2*b - 5. Let g(k) be the second derivative of 1/54*k**4 - k + 0 + 1/3*k**b + 8/9*k**2. Find h such that g(h) = 0.
-8, -1
Let b be (14/105)/(2/20). Let p be (-45*(-92)/(-207))/(-15). Find y such that -1/3*y**2 - p + b*y = 0.
2
Let l(d) be the second derivative of -d**6/24 + d**5/2 + 35*d**4/4 - 8*d + 63. What is i in l(i) = 0?
-6, 0, 14
Solve -3594456/25*i + 927369648/25 + 4644/25*i**2 - 2/25*i**3 = 0 for i.
774
Let b(c) be the first derivative of -2809*c**4/7 - 4876*c**3/3 - 638*c**2/7 - 12*c/7 + 5255. Solve b(p) = 0 for p.
-3, -1/53
Let c = 170/13 - 2524/195. Let z(b) be the second derivative of 0*b**3 + 0*b**2 + c*b**6 + b**5 - 2/21*b**7 + b**4 + 0 - 18*b. Factor z(m).
-4*m**2*(m - 3)*(m + 1)**2
Let p(c) be the first derivative of -3*c**4/50 - 41*c**3/15 + 46*c**2/25 + 54*c - 4. Let g(d) be the first derivative of p(d). Factor g(r).
-2*(r + 23)*(9*r - 2)/25
Let -1/2*x**5 - 21*x**3 + 75/2*x - 6*x**4 - 10*x**2 + 0 = 0. Calculate x.
-5, -3, 0, 1
Let t(u) be the third derivative of -u**7/1890 - u**6/72 - 67*u**5/540 - 31*u**4/72 - 20*u**3/27 + 333*u**2. Factor t(k).
-(k + 1)**2*(k + 5)*(k + 8)/9
Suppose -4*q - 392 = 3*q. Let u be ((-10)/7)/(8/q). Let 44*n**3 + 2*n**5 + 2 + 20*n**2 + 46*n**3 + 10*n - 108*n**3 + 38*n**3 + u*n**4 = 0. Calculate n.
-1
Suppose 67*c = 38*c + 8*c + 42. Let t(g) be the first derivative of 0*g**4 + 1/45*g**5 - 1/54*g**6 + 0*g**3 - 5 + 0*g + 0*g**c. What is w in t(w) = 0?
0, 1
Let q = -580814 - -580816. Factor -3/5*z**q + 68/5 - 20*z.
-(z + 34)*(3*z - 2)/5
Determine q so that 191*q**3 + 104*q**3 + 5*q**4 + 2645*q**2 - 21*q**3 - 44*q**3 = 0.
-23, 0
Let x(p) = 2334130*p**3 - 191872*p**2 + 5270*p - 34. Let k(g) = 778044*g**3 - 63958*g**2 + 1757*g - 11. Let o(i) = 14*k(i) - 5*x(i). Find d such that o(d) = 0.
2/73
Suppose x + 10 = -5*p + 2, 4*p = 3*x - 14. Solve -q**2 - 13*q**2 - 18*q**3 - q**2 + 0*q**x - 3*q**4 = 0.
-5, -1, 0
Let n = 357 - 356. Factor -3*u**2 - 52*u + n + 76*u - 4 - 1 - 11*u**3 - 6*u**2.
-(u - 1)*(u + 2)*(11*u - 2)
Suppose 695*f = 652*f. Suppose 1/2*h**3 + 4*h + f - 1/8*h**4 + 7/2*h**2 = 0. What is h?
-2, 0, 8
Let f be 4 + 3 - 5103/945. Let x(i) be the first derivative of 0*i**3 - 31 + 2/3*i**6 + f*i**5 + 0*i**4 + 0*i**2 + 0*i. Find u, given that x(u) = 0.
-2, 0
Let w(k) = 41*k**2 + 74*k - 14. Let u = 162 + -135. Let h(f) = -534*f**2 - 963*f + 183. Let d(s) = u*w(s) + 2*h(s). Factor d(p).
3*(p + 2)*(13*p - 2)
Let v be 3 + (-630)/(-18)*6/18 + -14. Determine b, given that -3*b**2 + 5/3*b**3 - 1/3*b**4 - v + 7/3*b = 0.
1, 2
Let -49*q**2 - 13*q**2 - 7*q**3 - 18*q**2 + 0*q**3 + 524*q - 1120 + 11*q**3 = 0. What is q?
5, 7, 8
Solve 0 + 1/5*c**4 - 71/5*c**2 + 12*c + 2*c**3 = 0 for c.
-15, 0, 1, 4
Let h(w) be the second derivative of 2*w**6/15 - 11*w**5/10 + 19*w**4/6 - 10*w**3/3 + 974*w. Let h(a) = 0. Calculate a.
0, 1, 2, 5/2
Let w = 85579 - 85577. Factor -d**w + 9/4*d - 1/2.
-(d - 2)*(4*d - 1)/4
Determine i so that 1080/11*i - 504/11*i**2 - 768/11 + 78/11*i**3 = 0.
2, 32/13
Suppose 0 = -u, -10 = -5*x + 2*u + 2*u. Let p be (x - 17/10)*28/42. Factor -1/10*z**4 + 0*z**3 - 1/10 + p*z**2 + 0*z.
-(z - 1)**2*(z + 1)**2/10
What is r in 152/13 - 304/13*r**3 + 302/13*r - 148/13*r**4 - 4/13*r**2 + 2/13*r**5 = 0?
-1, 1, 76
Let u(r) be the second derivative of -5*r**4/78 - 1097*r**3/39 - 438*r**2/13 - 1278*r. Factor u(m).
-2*(m