t is p?
-30, -2, -1
Let z(c) be the third derivative of 0*c - 1 - 24*c**2 + 11/51*c**4 + 484/51*c**3 + 1/510*c**5. Suppose z(m) = 0. Calculate m.
-22
Let y = -15 - -18. Let a = 48 - 21. Let 4 - 10 + y*x**3 + 18*x**2 + 6 + a*x = 0. Calculate x.
-3, 0
Let x(d) be the second derivative of 25*d**6/6 + 6005*d**5/4 - 6020*d**4/3 + 2410*d**3/3 - 92*d + 9. Determine q, given that x(q) = 0.
-241, 0, 2/5
Let o(g) be the second derivative of 19/4*g**4 - 35/2*g**3 - 2*g - 3/20*g**5 - 10 + 51/2*g**2. Factor o(u).
-3*(u - 17)*(u - 1)**2
Let n(m) = -475*m + 5. Let x be n(3). Let v = x + 1423. Factor 0 + 0*z - 2/3*z**v + 0*z**2 + 2/3*z**4.
2*z**3*(z - 1)/3
Let l(q) be the second derivative of -q**7/105 - 78*q**6/25 - 93*q**5/10 - 116*q**4/15 + 1736*q. Factor l(i).
-2*i**2*(i + 1)**2*(i + 232)/5
Factor 90/7*o**2 - 2/7*o**3 - 90/7 + 2/7*o.
-2*(o - 45)*(o - 1)*(o + 1)/7
Let w = -25381 + 78133/3. Let m = -662 + w. Determine p, given that -1/3*p**2 + 5/3 - m*p = 0.
-5, 1
Suppose 0 = 3*z - 5*m - 6160, 10308 = 6*z - z + 2*m. Find j such that 2*j - 2060*j**2 - 2*j**3 + z*j**2 = 0.
-1, 0, 1
Suppose 5*m + 13 = -l, -m - 5 = -9*l + 8*l. Factor 4*u**4 - 2*u**l + 4*u**2 + 6*u**2 - 8*u**3 + 20*u**3.
4*u**2*(u + 1)*(u + 2)
Factor -32/7*a + 2*a**4 - 38/7*a**3 + 8/7 + 50/7*a**2 - 2/7*a**5.
-2*(a - 2)**2*(a - 1)**3/7
Suppose -4*q - 8 = 0, 2*f = q - 1 + 3. Suppose -15*p + 11 + 19 = f. Factor 6*w - 20*w**p + 8*w + w**2 + 11*w**2 + 4.
-2*(w - 2)*(4*w + 1)
Let h(g) be the first derivative of -g**6/15 + 58*g**5/25 - 129*g**4/10 + 446*g**3/15 - 34*g**2 + 96*g/5 - 1548. Let h(v) = 0. What is v?
1, 2, 24
Find o such that 129/4*o + 129/8*o**2 + 9 + 9/8*o**3 = 0.
-12, -2, -1/3
Let v(b) be the third derivative of 0 + 17*b - 5/8*b**4 + 75/2*b**3 + 1/240*b**5 + 2*b**2. Factor v(x).
(x - 30)**2/4
Factor 20/9*c**5 + 64/3*c**3 + 92/9*c + 98/9*c**4 + 188/9*c**2 + 2.
2*(c + 1)**4*(10*c + 9)/9
Suppose -m + b = -2*b - 60, -4*m = 2*b - 212. Let d(h) = 3*h**2 - 12*h + 5. Let l be d(5). Suppose m*y**5 - 29*y**5 - l*y**5 - 5*y**3 = 0. What is y?
-1, 0, 1
Suppose 3*c = -7*c + 50. Let x(l) = l**2 + 2*l - 35. Let s be x(c). Suppose 0*k**2 + 0*k**3 + s + 2/5*k**5 + 2/5*k**4 + 0*k = 0. Calculate k.
-1, 0
Let y be (2/3)/((-112)/(-1512)). Suppose y*h = 2 + 7. Factor -7/2*u**2 + h - 5/2*u.
-(u + 1)*(7*u - 2)/2
Factor -128 - 104/11*s**2 + 2/11*s**3 + 736/11*s.
2*(s - 44)*(s - 4)**2/11
Let c = -100 + 702/7. Let m = 40308 + -40306. Factor -2/7*d**5 - 2/7*d + 4/7*d**m - 2/7 - c*d**4 + 4/7*d**3.
-2*(d - 1)**2*(d + 1)**3/7
Let j be 70/(-15)*(11 - (-6)/(-378)*696). Factor -16/9 - j*d**2 + 2*d.
-2*(d - 8)*(d - 1)/9
Let g(y) = -7888399*y**2 - 31776*y - 60. Let p(u) = 3944199*u**2 + 15888*u + 28. Let k(v) = -3*g(v) - 7*p(v). Find a such that k(a) = 0.
-2/993
Let u be ((-510)/(-1020)*0/2)/3. Find j, given that 3*j**3 + u + 3/2*j**4 - 6*j**2 - 12*j = 0.
-2, 0, 2
Let j = 231 + -227. Factor 75373*g**3 - j + 10511*g**3 - 12288*g**2 + 45188*g**3 + 384*g.
4*(32*g - 1)**3
Let y(h) = -h**3 + 4*h**2 + h - 8. Let t be y(2). Factor 30*z**2 - 17*z - 30*z - 45*z**3 + 5*z**t + 57*z.
-5*z*(z - 1)*(9*z + 2)
Let q(k) be the second derivative of k**5/20 + 16*k**4/3 + 442*k**3/3 - 2312*k**2 + 1953*k. Find t such that q(t) = 0.
-34, 4
Let l = -27247 + 27247. Determine x, given that 2*x**2 - 1/3*x**3 + l - 5/3*x = 0.
0, 1, 5
Let p be (219/3 - (-9)/(-1))*36/198. Factor -2/11*g**2 - 32/11*g - p.
-2*(g + 8)**2/11
Let f(p) be the first derivative of p**3/15 - 21*p**2/10 - 46*p/5 + 978. Factor f(l).
(l - 23)*(l + 2)/5
Let p(i) be the second derivative of 89/3*i**3 + 1/12*i**4 - 3 + 7921/2*i**2 - 29*i. Factor p(s).
(s + 89)**2
Let w(n) = -13*n**4 + 20*n**3 + 35*n**2 - 72*n - 24. Let a(x) = 28*x**4 - 40*x**3 - 68*x**2 + 145*x + 52. Let q(f) = -6*a(f) - 13*w(f). Factor q(i).
i*(i - 22)*(i - 1)*(i + 3)
Let n(a) be the second derivative of -a**5/20 - 17*a**4/4 - 95*a**3/6 + 147*a**2/2 - 748*a. Suppose n(v) = 0. What is v?
-49, -3, 1
Let i(q) be the third derivative of -1/60*q**5 + 0*q - 5/2*q**4 + 32*q**2 - 150*q**3 + 0. Factor i(r).
-(r + 30)**2
Let d(x) be the first derivative of -x**5/15 - 4*x**4/3 + 76*x**3/9 - 40*x**2/3 + 3146. Let d(s) = 0. Calculate s.
-20, 0, 2
Suppose 6*m = -2*o + 4*m - 16, 5*o - 4*m = -58. Let r be (-9)/6 - 65/o. Determine n, given that -r*n**2 - 6*n**4 + 7*n**2 + 3*n - n**2 + 5*n**2 - 3*n**5 = 0.
-1, 0, 1
Suppose -11*m = 27*m - 12920. Factor -20*h**3 + m*h**4 - 342*h**4 - 16*h + 0*h - 34*h**2.
-2*h*(h + 1)**2*(h + 8)
Let p(r) be the first derivative of r**6/6 + 7*r**5/5 - 7*r**4/4 - 43*r**3/3 + 21*r**2 - 315. Suppose p(s) = 0. What is s?
-7, -3, 0, 1, 2
Suppose 2*w + 3*l + 4 = 20, -4*w + 30 = 5*l. Suppose 2*x + 8 = 2*v, w*x + 4 - 29 = 0. Factor 32 - 24*d**2 - 11*d + v*d - 20*d**3 - 4*d**4 + 18*d.
-4*(d - 1)*(d + 2)**3
Let h(w) be the first derivative of -5*w**4/12 + 3430*w**3/9 + 6890*w**2/3 + 4600*w - 3990. Find x, given that h(x) = 0.
-2, 690
Suppose -2*a + a + 7 = x, 4 = 2*x. Suppose 0 = a*n - 11 - 39. Solve 20 + 5/4*j**2 - n*j = 0 for j.
4
Let s(a) be the third derivative of 275*a**8/112 + 137*a**7/42 + 19*a**6/15 + a**5/15 + 2*a**2 - 293*a. Factor s(y).
y**2*(5*y + 2)**2*(33*y + 1)
Suppose -3*j - x - 828 = -840, -3*x + 20 = 5*j. Let m(y) be the second derivative of -1/9*y**3 + 0 + 3*y + 0*y**2 - 1/60*y**5 - 1/12*y**j. Factor m(z).
-z*(z + 1)*(z + 2)/3
Let q(t) = 377*t + 1. Let u be q(2). Let c = u - 755. Determine f, given that 0*f + c - 1/3*f**2 = 0.
0
Let v = -564376 + 1128765/2. Factor v + 11/2*s**2 - 1/2*s**3 + 25/2*s.
-(s - 13)*(s + 1)**2/2
Suppose 8*s - 55 = -7. Let r be s + -5*(3 + (-26)/10). Determine d, given that 7*d - 3*d**5 - 9*d**3 + 12*d**2 + r*d**4 + 5*d - 16*d**4 = 0.
-2, -1, 0, 1
Let p(f) be the second derivative of 3*f**5/20 - 23*f**4/2 + 84*f**3 - 1153*f. Factor p(w).
3*w*(w - 42)*(w - 4)
Let d(m) be the second derivative of m**4/48 - 125*m**3/24 - 127*m**2/4 - 559*m. Let d(t) = 0. Calculate t.
-2, 127
Let h(l) be the first derivative of -l**4/9 - 56*l**3/9 - 26*l**2 + 1494. Solve h(v) = 0.
-39, -3, 0
Let m(w) be the second derivative of 3 - 3*w + 6/5*w**5 + 0*w**2 + 7/3*w**4 + 2/3*w**3. Let m(t) = 0. What is t?
-1, -1/6, 0
Let s be 11 + ((-13416)/2080)/(3/5). Factor s*b**2 + 3/4*b + 0 - 1/4*b**4 - 3/4*b**3.
-b*(b - 1)*(b + 1)*(b + 3)/4
Let j(x) be the second derivative of -3/100*x**5 - 27/20*x**4 - 87/10*x**2 + 57/10*x**3 + 0 - 204*x. Factor j(w).
-3*(w - 1)**2*(w + 29)/5
Let z(v) be the third derivative of 1/2*v**4 - 78*v**2 + 0*v + 23/12*v**3 + 0 + 1/120*v**5. Factor z(y).
(y + 1)*(y + 23)/2
Suppose 5*j - 54 = -4*t, 23 - 8 = j + 5*t. Factor -5*d**3 + j*d - 10 - 4*d + 9*d.
-5*(d - 1)**2*(d + 2)
Let b(i) be the third derivative of i**5/20 - 175*i**4/8 + 87*i**3 - i**2 + 1247. Factor b(w).
3*(w - 174)*(w - 1)
Suppose 2/15*b**2 + 0 + 20/3*b = 0. Calculate b.
-50, 0
Let c be 10/(-15) - 1952/(-12). Suppose -174 - 2*w**3 - 28*w + c - 2*w**3 - 14*w**2 - 6*w**2 = 0. Calculate w.
-3, -1
Let b(l) = 35*l + 212. Let k = -320 - -314. Let v be b(k). Factor -2/15*i - 2/15*i**v + 4/15.
-2*(i - 1)*(i + 2)/15
Let k(v) = 16*v**2 + 1114*v - 13591. Let q(b) = 3*b**2 + 186*b - 2265. Let d(g) = -3*k(g) + 17*q(g). Find r such that d(r) = 0.
18, 42
Let v = -29503/28 + 7376/7. Let q(n) be the second derivative of -3/7*n**2 - 46*n + 3/14*n**3 - v*n**4 + 0. Factor q(a).
-3*(a - 2)*(a - 1)/7
Suppose 37*i - 36*i + 16 = 5*t, -2*t + 2*i + 8 = 0. Let a(u) be the first derivative of -u**2 + 17 - 1/6*u**t - 2*u. Determine p, given that a(p) = 0.
-2
Let b(x) be the third derivative of -x**6/280 - 351*x**5/140 - 699*x**4/56 - 349*x**3/14 - 2360*x**2. Find t, given that b(t) = 0.
-349, -1
Suppose 411 = r + 297. Let p = -567/5 + r. Find y such that 3/5*y**2 + p*y**3 + 0 + 1/5*y + 1/5*y**4 = 0.
-1, 0
Find l such that 9/5*l**3 - 384/5*l**2 + 3/5*l**4 + 1044/5*l - 672/5 = 0.
-14, 1, 2, 8
Suppose 3*n - 31*n + 420 = 0. Factor -6*s**5 - 291 + 6*s**2 + 12*s**3 + 9*s**5 - n*s + 297 - 12*s**4.
3*(s - 2)*(s - 1)**3*(s + 1)
Let u be (3 - 0) + (-35 - -34). Factor 16*s - 46 + 100 - 25*s - 3*s**u.
-3*(s - 3)*(s + 6)
Let h(u) be the first derivative of 8/3*u - 2/5*u**5 + 1/9*u**6 - 4*u**2 - 1/6*u**4 - 11 + 22/9*u**3. Solve h(j) = 0.
-2, 1, 2
Let v be 54/(-90) + 56/10. Let n(s) = s**2 - s - 18. Let j be n(v). Factor 239*k**4 - 2*k**2 + k + j*k**3