 q = 103 + -99. Suppose -3*p + s = -18, 3 - 4 = p + 2*s. Determine b, given that -4*b**2 - 96*b**3 + 3*b**4 + 98*b**3 - b**5 + 2*b**p - 3*b + b**q = 0.
-3, -1, 0, 1
Let c(h) be the second derivative of -1/6*h**4 - 2 - 211*h + 10*h**2 - h**3. Determine r, given that c(r) = 0.
-5, 2
Suppose 4*k + 4*o - 8 = 0, -k - 2*o - 13 = 2*o. Suppose 11248*h + 208 - 5172*h**2 - 3462 - 289*h**3 - k*h**3 - 1053 - 4*h**4 - 1469 = 0. Calculate h.
-38, 1
Let u(r) be the third derivative of -r**5/180 + 319*r**4/36 - 101761*r**3/18 + 4*r**2 - 96. Factor u(p).
-(p - 319)**2/3
Let d(a) be the first derivative of -1/27*a**6 - 62 + 0*a - 1/3*a**2 - 4/27*a**3 + 2/9*a**4 + 4/45*a**5. Suppose d(r) = 0. What is r?
-1, 0, 1, 3
Let t(m) = m + 67. Let u be t(-53). Let y(n) = 6*n**2 + 4*n + 2*n**2 + n - 6. Let r(o) = o**2 + o - 1. Let p(l) = u*r(l) - 2*y(l). Determine f so that p(f) = 0.
1
Let i(u) be the third derivative of 0*u - 101*u**2 + 5/16*u**5 - 59/96*u**4 + 1/4*u**3 + 0. Suppose i(l) = 0. Calculate l.
3/25, 2/3
Let j(s) be the first derivative of -s**5/25 - 47*s**4/40 - 11*s**3/5 + s**2/20 + 11*s/5 + 279. Find z such that j(z) = 0.
-22, -1, 1/2
Let p = 123 + -118. Factor 3*m**2 - 285*m - p*m**2 - 3*m**2 + 284*m - 6*m**3.
-m*(2*m + 1)*(3*m + 1)
Let u(q) be the third derivative of q**6/60 - 3*q**4/4 + 14*q**2 - 9*q. Solve u(z) = 0.
-3, 0, 3
Let g(c) = 3*c + 1. Let t(v) = -74 - 198*v + 231 - 5*v**2 + 3*v**2 - 4767. Let y(j) = -2*g(j) - t(j). Factor y(s).
2*(s + 48)**2
Let q(b) = -10*b - 9*b - b**3 - 15*b - 6*b**2 - 6 + 24*b. Let v be q(-4). Suppose 4/7*n**4 - 4/7*n**v - 20/7*n**3 - 16/7 + 4/7*n**5 + 32/7*n = 0. What is n?
-2, 1
Let a = 71 + -67. Let r(f) = 3 + f**3 - 8 - a*f + 2. Let v(u) = u**3 - 3*u - 2. Let z(n) = 2*r(n) - 3*v(n). Solve z(m) = 0.
-1, 0, 1
Factor -180/7*v**2 - 216/7*v + 0 - 6*v**3 - 3/7*v**4.
-3*v*(v + 2)*(v + 6)**2/7
Let k(a) be the third derivative of a**8/456 - 80*a**7/399 + 101*a**6/95 - 653*a**5/285 + 541*a**4/228 - 18*a**3/19 + 303*a**2 - 3*a. Solve k(h) = 0 for h.
1/7, 1, 54
Let x(k) = 10689*k + 53447. Let j be x(-5). Find c such that -5 + 80*c**5 + 25/2*c - 140*c**4 + 55*c**j - 70*c**3 = 0.
-1/2, 1/4, 1/2, 2
Let i(y) = 25*y**2 + 2518*y - 320033. Let p(f) = -5*f**2 + 2*f - 2. Let x(v) = i(v) + 6*p(v). Let x(m) = 0. What is m?
253
Let p(m) be the first derivative of -14*m**6/15 + m**5 + 2*m**4/3 - 39*m + 76. Let w(a) be the first derivative of p(a). Determine z, given that w(z) = 0.
-2/7, 0, 1
Let j be (6 - (-285)/(-50))/(789/105 - 7). Let k(y) be the second derivative of j*y**4 - 1/2*y**2 + 37*y + 0 + y**3. Factor k(m).
(m + 1)*(7*m - 1)
Suppose 0 = -2*m + 21*t - 118, 342*m - t - 10 = 338*m. Factor -4/5*f**2 + 18/5 + 2/5*f**m - 8/5*f**3 + 24/5*f.
2*(f - 3)**2*(f + 1)**2/5
Let v = -253 - -432. Let p = -176 + v. What is y in 4*y**2 + 0 + 2/3*y + 2/3*y**p + 32/3*y**5 - 16*y**4 = 0?
-1/4, 0, 1
Suppose -23 = -7*v - 30. Let p be v*6/30 - (-64)/20. Factor -6*k + 3/2*k**4 - 9/2 + 6*k**3 + p*k**2.
3*(k - 1)*(k + 1)**2*(k + 3)/2
Let t = -272/91 - -4540/273. Let w = -160/13 + t. Find n, given that -w + 2/3*n - 2/3*n**3 + 4/3*n**2 = 0.
-1, 1, 2
Suppose -11*w + 15*w - 29 = -3*s, -w + 20 = 5*s. Let 16/15 - 14/15*c**4 - 8/5*c - 22/5*c**s - 92/15*c**2 = 0. What is c?
-2, -1, 2/7
Let i be 2/(((-8)/(-6))/(-4)). Let s be -1 - 6/9*i. Solve 3*a - 13*a**4 + 6*a**4 + 3*a**3 + 10*a**4 + 6*a**s + 9*a**2 = 0.
-1, 0
Let a(d) be the second derivative of -3*d - 1/15*d**4 + 4/5*d**3 - 2*d**2 - 9. Factor a(n).
-4*(n - 5)*(n - 1)/5
Let x(v) be the second derivative of v**5/60 - 11*v**4/12 + 121*v**3/6 + 29*v**2 - 91*v. Let k(r) be the first derivative of x(r). Find u, given that k(u) = 0.
11
Let r(c) be the first derivative of 2*c**3/9 + 565*c**2/3 + 3823. Determine b so that r(b) = 0.
-565, 0
Suppose 23*z + 3 = 20*z. Let p be z + 5 + 342/(-95). Suppose -p*d**3 + 6/5*d + 4/5 + 0*d**2 = 0. Calculate d.
-1, 2
Suppose 20*g - 22 = 9*g. Factor -122*y**2 + y**3 + y**3 + 114*y**g.
2*y**2*(y - 4)
Let y(v) = -2*v**2 + 28*v - 6. Let j be y(13). Let u be 36/(-12) - (-1 - j). Suppose -42 + 19 - 30*c + u*c**2 + 18 + 19 - 2*c**3 = 0. Calculate c.
1, 7
Let u = 61587/65 + -12255/13. Let u + 41/5*w**2 - 3/5*w**3 - 62/5*w = 0. What is w?
2/3, 1, 12
Let t be (-166)/(-38)*(8750/(-4065) - -2). Let h = 2/5149 - t. Factor 0 - 3*f**3 + 0*f + h*f**2 + 4/3*f**4.
f**2*(f - 2)*(4*f - 1)/3
Let r be ((-54)/(-21)*1)/((-3)/(-1533)). Let l = r + -22332/17. Find k such that 8/17*k - 8/17*k**2 + 0 - 2/17*k**5 - l*k**3 + 8/17*k**4 = 0.
-1, 0, 1, 2
Let h(z) = -8159*z - 8157. Let f be h(-1). Find i such that -1/4*i**3 + 0 + i + 1/4*i**4 - i**f = 0.
-2, 0, 1, 2
Let j(r) = 85*r - 3055. Let q be j(36). Let h(a) be the third derivative of 1/30*a**q - 1/24*a**4 + 0*a + 0 + 0*a**3 + 11*a**2 - 1/120*a**6. Factor h(n).
-n*(n - 1)**2
Suppose -605*d - 57818862*d**2 + 57818322*d**2 + 5*d**4 + 45*d - 120*d**3 = 0. What is d?
-2, 0, 28
Let p(b) be the second derivative of 0 + 0*b**2 - 8/3*b**4 + 2/15*b**6 + 7/5*b**5 - 99*b + 0*b**3. Factor p(w).
4*w**2*(w - 1)*(w + 8)
Let v(q) = -5*q - 36. Let x be v(-4). Let i(s) = -s**3 - 9*s**2 + 111*s - 16. Let j be i(x). Suppose -1/6*y**4 + j + 1/6*y**3 + 1/6*y**2 - 1/6*y = 0. What is y?
-1, 0, 1
Let w(m) = -m**2 - 3*m. Let q be w(-2). Suppose q*z = 14*z - 24. Solve h**3 + 3*h + 15*h + z - 21*h = 0.
-2, 1
Let p = -20/31 + 264/217. Suppose -4 = 3*g + 5*z, -6*g + 11*g = 3*z + 16. Let -25/7*t**g - p - 20/7*t = 0. Calculate t.
-2/5
Suppose -415/2*a**3 + 31/2*a**4 - 1089/2 - 1/4*a**5 - 1007*a**2 - 5313/4*a = 0. Calculate a.
-2, -1, 33
Suppose 19*u - 63*u = -21*u. Let a(p) be the third derivative of u*p + 0 - 1/900*p**6 + 19*p**2 - 1/150*p**5 + 0*p**3 - 1/90*p**4. What is c in a(c) = 0?
-2, -1, 0
Let h(y) = -2*y**3 - 62*y**2 + 62*y - 2. Let i(d) = 544*d**3 - 1086*d**3 + 544*d**3 + 61*d**2 - 60*d + 3. Let b(s) = 6*h(s) + 4*i(s). Solve b(m) = 0 for m.
-33, 0, 1
Suppose -5*t = 2*z - 20, -4*t + 3*t - 2*z = -4. Suppose 5*y + 45 = 5*p, -t*p - 3*y + 6 - 5 = 0. Factor 1/6*m**p + 0*m**2 + 0*m + 0*m**3 + 0.
m**4/6
Let f(t) = 11*t**2 + 3984*t + 740. Let p be f(-362). Find a such that 36/5*a**3 - p*a**2 + 2/25*a**5 + 0 + 10*a - 32/25*a**4 = 0.
0, 1, 5
Suppose 0 = -9*i + 14*i + 320. Let o = -58 - i. Factor -2 + 3*w**2 - o*w**3 + 2*w**2 + 4*w**3 + 2*w - 3*w**2.
-2*(w - 1)**2*(w + 1)
Let g(o) = 10*o**3 + 18*o**2 + 22*o + 6. Let j(y) = 9*y**3 + 17*y**2 + 21*y + 6. Suppose 30*p = 27*p + 24. Let q(b) = p*j(b) - 7*g(b). Factor q(m).
2*(m + 1)**2*(m + 3)
Let g(o) be the third derivative of o**7/945 - o**6/54 + 19*o**5/270 + 5*o**4/18 - 177*o**2 - 2*o. Determine u, given that g(u) = 0.
-1, 0, 5, 6
Let q(f) be the second derivative of -f**9/15120 + f**8/1680 - f**7/700 - 175*f**3/6 - f**2 + 8*f + 2. Let v(b) be the second derivative of q(b). Factor v(p).
-p**3*(p - 3)*(p - 2)/5
Let p(f) be the first derivative of -4*f**3/15 + 656*f**2/5 - 1308*f/5 - 1561. Find l such that p(l) = 0.
1, 327
Let q = 99387 - 99385. Suppose -53/6*x**3 - 28/3*x - 1/2*x**4 + 3/2*x**5 + q + 91/6*x**2 = 0. What is x?
-3, 2/3, 1
Let p(x) = x**2 - 12*x + 1. Let c be p(14). Let d be 18/(-4) - (c - 35). Let 9/2*v**2 - 3/2*v**4 - 3/2*v + d*v**3 - 3 = 0. What is v?
-1, 1, 2
Let s(m) be the third derivative of 0*m**4 + 0*m**3 - 1/945*m**7 + 3*m**2 + 0*m - 1/135*m**6 - 2/135*m**5 + 0. Factor s(n).
-2*n**2*(n + 2)**2/9
Let g be (-58)/(-2) + (1 - 3/1). Factor -55 - 131 - 44*z - g - 29 - 2*z**2.
-2*(z + 11)**2
Let n = -62351 + 62354. Factor 0 + 0*q + 3*q**n - 9/2*q**2 + 3/2*q**4.
3*q**2*(q - 1)*(q + 3)/2
Let n(k) = -k**3 + 317*k**2 + 5351*k - 7655. Let r be n(333). Determine g, given that -5/3*g - 1/3*g**r - 11/3*g**2 - 7/3*g**3 + 0 = 0.
-5, -1, 0
Let i(u) be the third derivative of -u**6/420 - 8*u**5/35 - 55*u**4/7 - 400*u**3/3 - 2671*u**2. Factor i(a).
-2*(a + 10)**2*(a + 28)/7
Let i(l) = l**2 + 2. Let n = -159 + 161. Let m(g) = 8*g**2 - 13*g. Let v(p) = n*m(p) - 14*i(p). Solve v(y) = 0 for y.
-1, 14
Suppose s + 7 = x, 5*x + 2*s = -395 + 409. Let c(j) be the first derivative of 2/9*j**3 + x + 0*j + 1/15*j**5 + 0*j**2 - 1/4*j**4. Factor c(i).
i**2*(i - 2)*(i - 1)/3
Let b be ((-2222)/404)/(693/(-36)). Solve -48/7 + b*z**2 - 10/7*z = 0 for z.
-3, 8
Let t be (((-500)/(-15))/20)/((-3)/(-2637)). Let f = 4447/3 - t. Suppose -338/3*s + 0 + f*s**2 - 2/3*