59 + 1250585/2318. Let w = 541 - p. Determine n, given that -w*n**4 + 0 + 3*n**3 - 3/2*n**2 + 0*n = 0.
0, 1
Let p = -468238/55 + 42568/5. Let -p*u**2 + 4/11 + 2/11*u = 0. What is u?
-1, 2
Determine u so that -1/8*u**2 - 1087849/8 - 1043/4*u = 0.
-1043
Let k(q) be the third derivative of -q**8/672 - 19*q**7/420 - 7*q**6/48 - 17*q**5/120 - 3553*q**2 - 2. Suppose k(f) = 0. What is f?
-17, -1, 0
Let j = -27 + 44. Suppose 12*x + 85 = j*x. Factor -3*w - 5*w**2 + x*w**2 - w**4 + 3*w**3 - 2*w**4 - 9*w.
-3*w*(w - 2)*(w - 1)*(w + 2)
Suppose 56593 - 56517 = 38*d. What is s in 6/7*s**d + 2/7*s**3 + 0 - 8/7*s = 0?
-4, 0, 1
Let o(s) be the second derivative of 19*s**4/4 + 3703*s**3/6 - 65*s**2 - 3524*s. Factor o(i).
(i + 65)*(57*i - 2)
Let a(x) = -3*x**3 - 8*x**2 - 15*x. Let n = 6 - 3. Let f(y) = -2*y**3 + y**n - 7*y - 3 + 3 - 4*y**2. Let j(h) = -6*a(h) + 15*f(h). Find o such that j(o) = 0.
-1, 0, 5
Let z(t) be the third derivative of -t**8/630 + t**7/1575 + t**6/75 - 11*t**5/450 + t**4/90 + 5*t**2 - 352*t. Let z(f) = 0. Calculate f.
-2, 0, 1/4, 1
Let r(b) = -51*b + 45*b - b**2 + 4 - 5 - 4. Let p be r(-2). Find s, given that 3/4*s**4 - 9/4 - 1/4*s**5 - 5/2*s**2 + 3/2*s**p - 21/4*s = 0.
-1, 3
Let u(s) be the third derivative of -s**8/42 - 11*s**7/21 + 23*s**6/10 - 19*s**5/6 + 4*s**4/3 - 2560*s**2. Let u(n) = 0. Calculate n.
-16, 0, 1/4, 1
Let v(g) be the second derivative of 11/3*g**3 - 1/30*g**6 + g - 40 - 4*g**2 + 2/5*g**5 - 7/4*g**4. Factor v(c).
-(c - 4)*(c - 2)*(c - 1)**2
Factor 1 + 1/6*b**2 - 7/6*b.
(b - 6)*(b - 1)/6
Let d(s) be the second derivative of s**4/36 + 235*s**3/9 + 421*s - 1. Factor d(k).
k*(k + 470)/3
Suppose 1729 - 505 = -18*o. Let x = -68 - o. Let 2/3*f**4 - 4/3*f**3 + 0*f + 2/3*f**2 + x = 0. What is f?
0, 1
Let r(j) be the second derivative of -2*j**2 + 1/4*j**4 - 6 - 1/30*j**6 - 1/10*j**5 + 2/3*j**3 + 4*j. Factor r(d).
-(d - 1)**2*(d + 2)**2
Let c be ((-25)/(-45))/((-6)/(-16) + 408/192). Let i(k) be the first derivative of 2/15*k**5 + 12 + 0*k - 2/9*k**4 - 2/27*k**3 + c*k**2. Solve i(g) = 0 for g.
-2/3, 0, 1
Let q be ((-3)/6)/(1/(-4)). Suppose -1265*v + 1251*v = -56. Factor 12*z**2 + 20*z + v - 21*z**q + 18*z**2.
(z + 2)*(9*z + 2)
Let k(u) be the third derivative of u**7/42 + 39*u**6/8 + 29*u**5/3 - 7*u**2 - 37*u. Factor k(g).
5*g**2*(g + 1)*(g + 116)
Let t = 172 + -145. Solve 44*n**2 + 5*n**4 - 16*n**3 - 87*n**2 - t*n**2 - 9*n**3 = 0.
-2, 0, 7
Let h(t) be the second derivative of 25/4*t**3 + 0 - 56*t - 81/4*t**2 + 1/4*t**4. Determine f, given that h(f) = 0.
-27/2, 1
Suppose p = 2*f - 195, -1 = 2*p + 5. Let u = f + -94. Let 7*g - 8 - 8*g**2 + 12*g**u - 11*g = 0. Calculate g.
-1, 2
Let s(f) be the third derivative of 0*f**3 + 0*f + 3/10*f**5 - 1/70*f**7 + 0*f**4 - 1 - 12*f**2 - 1/40*f**6. Factor s(h).
-3*h**2*(h - 2)*(h + 3)
Let t(r) be the second derivative of -7*r**6/30 - 66*r**5/5 + 923*r**4/12 - 136*r**3 + 82*r**2 - 741*r. Solve t(j) = 0.
-41, 2/7, 1, 2
Determine a so that 2/5*a**4 + 126/5*a + 34/5*a**3 + 0 - 162/5*a**2 = 0.
-21, 0, 1, 3
Let i(p) be the first derivative of -4/5*p**3 + 58 + 1/10*p**2 + 12/5*p - 1/20*p**4. Determine b, given that i(b) = 0.
-12, -1, 1
Let q(w) = -75*w**2 + 489*w + 54. Let i be ((-6)/7)/(959/98 - 10). Let g(n) = 11*n**2 - 70*n - 8. Let r(p) = i*q(p) + 27*g(p). Factor r(x).
-3*x*(x - 22)
Let q(o) be the first derivative of 2*o**3/27 - 29*o**2/9 + 552. What is h in q(h) = 0?
0, 29
Let b = -573 + 577. Let s be (10/b)/(160/96). Solve 1/3 + 7/6*t**2 + s*t = 0.
-1, -2/7
Suppose -w = -a - 276, 4*a = 2*w + 349 - 1459. Let h = -2510/9 - a. Suppose 0*u + h*u**2 + 0 = 0. Calculate u.
0
Suppose 0*x + 2*x = 12. Suppose 4*f = 5*o + 1198 - 1185, -4*o = -3*f + 10. Let -6/5*b**4 - 42/5*b**f - x*b**3 + 0 - 18/5*b = 0. Calculate b.
-3, -1, 0
Let p(o) = 15*o**4 - 9*o**3 - 4*o**2 + 2. Let n(z) be the first derivative of -3*z**5 + 9*z**4/4 + z**3 - 3*z - 15. Let k(r) = 2*n(r) + 3*p(r). Factor k(a).
3*a**2*(a - 1)*(5*a + 2)
Let s(v) be the second derivative of -2*v**7/21 + 62*v**6/15 - 54*v**5/5 - 118*v**4/3 + 110*v**3/3 + 174*v**2 - 103*v - 3. Solve s(k) = 0 for k.
-1, 1, 3, 29
Let g(w) = -40*w**2 + 226*w + 458. Let q(m) = -219*m**2 + 1131*m + 2291. Let l(h) = 11*g(h) - 2*q(h). Suppose l(y) = 0. Calculate y.
-2, 114
Let b(h) be the first derivative of h**6/240 + h**5/60 - 7*h**4/16 + 3*h**3/2 - 35*h**2/2 - h - 242. Let d(w) be the second derivative of b(w). Factor d(y).
(y - 3)*(y - 1)*(y + 6)/2
Suppose 140*n - 188*n - 59*n + 321 = 0. Factor -16/11*d**2 - 2/11*d**n - 20/11 + 38/11*d.
-2*(d - 1)**2*(d + 10)/11
Let r(s) be the first derivative of -s**2/2 + 4*s - 525. Let n be r(2). Factor -12/5 - 32/5*q**n + 44/5*q.
-4*(q - 1)*(8*q - 3)/5
Suppose 286*m + 270*m + 684*m = 22*m + 2436. Find k, given that 56 + 4/7*k**3 + 12*k - 48/7*k**m = 0.
-2, 7
Let p(a) = -2*a - 23. Let u(l) = -l**2 - l + 7. Let g be u(-5). Let o be p(g). Let -30*c**2 + 9*c - 10*c + 21*c - 5 + 20*c**o - 5*c**4 = 0. Calculate c.
1
Suppose -5*n = -v - 161, 4*v + 100 = -25*n + 28*n. Factor n - 4*o + 205*o**2 + 62 - 14 - 209*o**2.
-4*(o - 4)*(o + 5)
Let j(r) = 66*r - 1975. Let k be j(30). Let s(u) be the first derivative of -u**4 - 4/5*u**k + 0*u + 10 + 24*u**2 + 32/3*u**3. Factor s(v).
-4*v*(v - 3)*(v + 2)**2
Let m be (-102)/272 + 13/24 + 0. Let s(f) be the third derivative of 0*f + 1/3*f**3 - 8*f**2 + 0 + 1/30*f**5 + m*f**4. Find j such that s(j) = 0.
-1
Suppose -97*t = -22*t - 36016 + 35791. Let w(j) = j**3 + 4*j**2 + j - 4. Let b be w(-3). Factor -3/5*l**b + 1/5*l**t + 0 + 2/5*l.
l*(l - 2)*(l - 1)/5
Let d(x) be the second derivative of -x**4/24 + 11*x**3/6 - 85*x**2/4 + 2329*x. Factor d(a).
-(a - 17)*(a - 5)/2
Let p(f) = 3*f + 12. Let t be p(-2). Let k be (7/((-49)/t))/(9/(-42)). Factor -4 - 4*b**k - 3*b**2 + 0 + 6*b**2 + 5*b**2.
-4*(b - 1)**2*(b + 1)**2
Let y = -31 - -38. Suppose -r + y*q = 2*q - 10, 0 = -4*q - 4. Factor 4*x**r - 96 - 3*x**3 + 48*x**2 - 48*x - 7*x**5 + 27*x**3 - 6*x**4.
-3*(x - 2)**2*(x + 2)**3
Let c be 32 + (7 - 12) - 0. Suppose c*p - 1 = 53. Factor -2/7*s**p + 2/7*s**3 - 2/7*s**5 + 0*s + 0 + 2/7*s**4.
-2*s**2*(s - 1)**2*(s + 1)/7
Let z(j) be the third derivative of -j**8/10080 + j**7/540 + j**4/12 + 5*j**3/3 - 44*j**2. Let v(g) be the second derivative of z(g). Solve v(b) = 0 for b.
0, 7
Let f be 12/60 - (-58)/10. Suppose f*y + 1 - 19 = 0. Solve 6*k - 3*k**2 + 3*k**y - 6*k**3 + 0*k = 0.
-2, 0, 1
Let a = -30697 - -30699. Factor 36/11*w**4 - 6/11*w**5 + 0 + 0*w - 72/11*w**3 + 48/11*w**a.
-6*w**2*(w - 2)**3/11
Let o(b) be the first derivative of 1/2*b**2 + 7/15*b**3 + 80 - 15*b - 1/20*b**4. Determine h so that o(h) = 0.
-3, 5
Let q(a) be the third derivative of a**8/672 - 3*a**7/140 + a**6/8 - 23*a**5/60 + 11*a**4/16 - 3*a**3/4 + 6781*a**2. Factor q(h).
(h - 3)**2*(h - 1)**3/2
Let s be (94/470)/(1/10). Factor 2/3*f - 2/3*f**3 + 1/9*f**s + 0 - 1/9*f**4.
-f*(f - 1)*(f + 1)*(f + 6)/9
Let i(v) be the third derivative of v**5/510 - 449*v**4/102 - 600*v**3/17 - 10358*v**2. Find y such that i(y) = 0.
-2, 900
Let l(f) = 2*f**2 - 8*f - 7. Let b be l(5). Let s be 0*((-4)/b)/4. Determine w, given that s + 0*w + 0*w**3 - 8/15*w**2 + 2/15*w**5 + 2/5*w**4 = 0.
-2, 0, 1
Let z(l) be the third derivative of -1/100*l**6 + 0*l**5 + 0*l**4 + 132*l**2 + 0 + 3/350*l**7 + 0*l**3 + 0*l - 1/560*l**8. Let z(p) = 0. Calculate p.
0, 1, 2
Let w(q) be the first derivative of 5*q**4/36 - 20*q**3/9 + 40*q**2/3 - 112*q - 155. Let z(y) be the first derivative of w(y). Factor z(b).
5*(b - 4)**2/3
Determine v so that 2/3*v**4 - 2*v - 2/9*v**5 + 20/9*v**3 + 6 - 20/3*v**2 = 0.
-3, -1, 1, 3
Let b(x) be the first derivative of x**4/2 + 90*x**3 + 132*x**2 - 536*x - 954. Factor b(y).
2*(y - 1)*(y + 2)*(y + 134)
Let b(u) be the first derivative of -u**3/2 + 351*u**2/2 + 708*u - 5770. Factor b(y).
-3*(y - 236)*(y + 2)/2
Let d(f) = -12*f**2 - f + 1. Let p(a) = 130*a**2 - 2275*a + 2277. Let z(n) = -22*d(n) - 2*p(n). Solve z(w) = 0 for w.
-1144, 1
Factor 14/5*h**3 - 2776/5*h**2 + 792/5*h + 0.
2*h*(h - 198)*(7*h - 2)/5
Let o be 0*(-3 + (-20)/(-8)). Let b be o + 12 - (1 - -3). Factor -8 + 4*u**3 + 18*u - 38*u + 16*u + b*u**2.
4*(u - 1)*(u + 1)*(u + 2)
Let s(p) = p**3 + 53*p**2 + 47*p - 260. Let x(g) = -g**2 - 25*g + 172. Let i be x(7). Let y be s(i). Factor 1/2*v**3 + 3/2*v + 2*v**2 + y.