d) be the third derivative of r*d + 1/3*d**5 + 2*d**3 + 1/30*d**6 - 23*d**2 + 0 + 7/6*d**4. Factor p(s).
4*(s + 1)**2*(s + 3)
Let v(t) be the first derivative of -t**3/6 + 12*t**2 + 49*t/2 + 2047. Factor v(s).
-(s - 49)*(s + 1)/2
Let t(n) be the first derivative of -n**6/1980 - 2*n**3/3 - 10*n - 45. Let z(b) be the third derivative of t(b). What is w in z(w) = 0?
0
Let j = 1550 - 1550. Let x(v) be the second derivative of 1/78*v**4 - 1/130*v**5 + 16*v + 0*v**2 + 0 + j*v**3. Factor x(p).
-2*p**2*(p - 1)/13
Let q be (1/10)/(((-88)/1460)/(-11)). Let z = q - 349/20. Factor -2/15*f**2 + z*f - 2/3.
-2*(f - 5)*(f - 1)/15
Let o(a) be the second derivative of -a**7/210 + 4*a**6/25 - 44*a**5/25 + 28*a**4/3 - 136*a**3/5 + 224*a**2/5 - 3*a + 569. Factor o(g).
-(g - 14)*(g - 4)*(g - 2)**3/5
Let n(t) = t + 30. Let u be n(-28). Determine j so that 3*j**2 - 82 - 2*j**u + 3*j + 84 = 0.
-2, -1
Let 716*l**2 - 20*l**3 - 701*l**2 + 25*l**3 = 0. Calculate l.
-3, 0
Let v(a) be the first derivative of 3*a**5/70 + 272*a + 98. Let j(z) be the first derivative of v(z). Determine g, given that j(g) = 0.
0
Let k(c) be the third derivative of -c**7/1050 - 151*c**6/600 - 1033*c**5/50 - 1548*c**4/5 - 5184*c**3/5 - 100*c**2. Factor k(w).
-(w + 1)*(w + 6)*(w + 72)**2/5
Let o(z) = -108*z**3 + 18*z**2 + 98*z + 22. Let r = 380 - 386. Let i(q) = q**2 + 3*q + 1. Let m(t) = r*i(t) + o(t). Determine h, given that m(h) = 0.
-2/3, -2/9, 1
Solve -2*a**3 - 179*a**2 + 4*a**3 - 300*a + 57*a - 235*a**2 - 173*a = 0.
-1, 0, 208
Let t be 18/(-36) + (-25)/(-10). Let y(v) be the first derivative of -2/3*v**3 + 0*v + 11 + 2*v**t. Factor y(j).
-2*j*(j - 2)
Let a(b) be the first derivative of 5*b**3/12 - 1385*b**2/8 + 345*b - 3905. Factor a(x).
5*(x - 276)*(x - 1)/4
Solve 1161 + 3402 + 65*g**2 - 7026*g + 5949 + 1115*g**2 - 2*g**3 = 0 for g.
3, 584
Let -8 + 36*y + 45*y**3 - 121/2*y**2 - 25/2*y**4 = 0. What is y?
4/5, 1
Let i(q) be the third derivative of 0*q + 0 - 7/96*q**4 + 72*q**2 - 1/240*q**5 - 1/4*q**3. Solve i(t) = 0 for t.
-6, -1
Let a(n) = n**3 + 9*n**2 - 364*n - 2972. Let b be a(-8). Solve -60/7*z**3 + 0 - 88/7*z**b + 12*z**5 + 48/7*z**2 + 16/7*z = 0 for z.
-2/3, -2/7, 0, 1
Let r be (5/(-45))/(16*4/6936). Let s = -35/3 - r. Solve 0*u**2 + 3/8*u - s*u**3 + 0 = 0.
-1, 0, 1
Let t(b) = -2*b**3 + 11*b**2 + 4*b + 16. Let w be t(6). Let q be 12/64*(2 + 6/(-9)). Let 0 - 1/2*o + q*o**w - 1/4*o**5 + 3/4*o**3 - 1/4*o**2 = 0. What is o?
-1, 0, 1, 2
Let f(d) be the second derivative of d**7/168 - d**6/24 - 7*d**5/80 + 5*d**4/48 + d**3/4 - 580*d. Let f(k) = 0. Calculate k.
-1, 0, 1, 6
Suppose 26/7*x + 24/7*x**4 - 4*x**3 + 0 + 2/7*x**5 - 24/7*x**2 = 0. What is x?
-13, -1, 0, 1
Let a(y) = 6*y - 1. Let s(r) = r**3 + 80*r**2 + 1487*r - 3357. Let m(d) = 20*a(d) + 4*s(d). Suppose m(q) = 0. What is q?
-41, 2
Let z be 648/(-144)*(-1)/((-6)/(-44)). Suppose -4*p - 17 + z = 0. Factor -12*d**3 - 32*d**2 + 0 - 8*d + 40*d**p - 25/2*d**5.
-d*(d - 2)**2*(5*d + 2)**2/2
Let l be (6/21)/(8346/13482). Factor -4/13*g + l - 2/13*g**2.
-2*(g - 1)*(g + 3)/13
Let d(z) be the second derivative of z**4/4 - 1372*z**3 + 2823576*z**2 + 220*z + 4. Factor d(y).
3*(y - 1372)**2
Let c(n) be the second derivative of n**6/240 + 5*n**5/16 - 13*n**4/24 - 25*n**3/24 + 51*n**2/16 - 9236*n. Factor c(u).
(u - 1)**2*(u + 1)*(u + 51)/8
Let b be 15/13*(-234)/(-72) + (-10)/(-8). Factor 2/7*u**2 + 0*u + u**3 + 3/7*u**b + 0 + 8/7*u**4.
u**2*(u + 1)**2*(3*u + 2)/7
Let r = -746 - -743. Let v be ((-2)/r)/(14/28). Let 2/3 + 2/3*s**2 + v*s = 0. What is s?
-1
Suppose -11*t + 24 = -31. Let s(h) = 5*h**2 - 410*h + 8385. Let r(f) = 5*f**2 - 410*f + 8389. Let v(u) = t*r(u) - 4*s(u). Factor v(g).
5*(g - 41)**2
Let q(l) = 26*l**3 - 2*l**2 + 2*l - 2. Let j be q(1). Suppose h + j = 24. Solve 8/23*w**3 - 6/23*w**5 + 0 + h*w + 10/23*w**4 - 8/23*w**2 = 0 for w.
-1, 0, 2/3, 2
Suppose f + 5*a + 9 = 4*f, 2*a + 15 = 5*f. Let h be -1 + 45 + 1/1. Determine r, given that -r**4 - f*r**2 - 5*r + 4 + 49*r**3 - h*r**3 + r = 0.
-1, 1, 2
Let q(b) = 27*b**3 + 4257*b**2 + 389169*b + 12065343. Let i(j) = -11*j**3 - 1704*j**2 - 155667*j - 4826137. Let m(s) = 12*i(s) + 5*q(s). Factor m(o).
3*(o + 93)**3
Let n(w) = -37*w**4 + 286*w**3 + 2844*w**2 + 3602*w - 6695. Let b(f) = -9*f**4 + 72*f**3 + 711*f**2 + 900*f - 1674. Let q(i) = 25*b(i) - 6*n(i). Solve q(h) = 0.
-4, 1, 35
Let w = 18085/273 + -463/7. Let i(t) be the third derivative of -7/390*t**5 + 0 - 4/39*t**3 + 0*t - w*t**4 - 10*t**2. Factor i(m).
-2*(m + 2)*(7*m + 2)/13
Let a = -848 - -854. Suppose 0 = -11*d + 7*d - 3*k - a, k = -2*d - 2. Solve 0*o**2 + 0 + d*o**4 - 4/5*o**3 + 2/5*o**5 + 2/5*o = 0 for o.
-1, 0, 1
Determine i so that -700*i**3 + 8729*i**4 - 8817*i**4 - 1296*i + 4320 + i**5 - 2232*i**2 - 5*i**5 = 0.
-6, -5, 1
Factor 4*q**2 - 1/4*q**4 + 0 + 5*q + 1/4*q**3.
-q*(q - 5)*(q + 2)**2/4
Let f(x) be the second derivative of -x**7/336 - x**6/48 + x**5/80 + 5*x**4/48 - x**3/48 - 5*x**2/16 + 11*x + 20. Solve f(w) = 0.
-5, -1, 1
Determine l, given that -46*l**2 + 170*l**2 + 200*l**2 + 212*l**2 - 325*l + 10 - 71*l**2 = 0.
1/31, 2/3
Find i, given that 1/7*i**3 + 451632/7*i + 58411072/7 + 1164/7*i**2 = 0.
-388
Let q(y) = y**2 + 2. Let i(c) = -24*c**2 + 20*c + 4. Suppose m - 6*m + 2*w + 220 = 0, -4*m - 4*w = -176. Let p(o) = m*q(o) + 2*i(o). Find x such that p(x) = 0.
-2, 12
Let q be (-2)/(-8)*1*13/208*16. Factor 9/4*g - q*g**2 - 7/2.
-(g - 7)*(g - 2)/4
Let p(k) be the second derivative of -k**6/10 + 9*k**5/5 + 191*k**4/4 + 309*k**3 + 660*k**2 - 59*k. What is a in p(a) = 0?
-5, -4, -1, 22
Factor 41*l**2 - 5*l**3 + 125 + 68065*l - 68240*l + 14*l**2.
-5*(l - 5)**2*(l - 1)
Let n be (-16611)/1512 + 14 + -3. Let b(u) be the third derivative of 17*u**2 - n*u**4 + 1/6*u**3 - 1/60*u**5 + 0*u + 0 + 1/360*u**6. Let b(r) = 0. What is r?
-1, 1, 3
Let g(x) be the third derivative of -x**6/420 - 29*x**5/70 + 45*x**4/14 - 3*x**2 + 1135*x. Solve g(l) = 0 for l.
-90, 0, 3
Let t(q) be the second derivative of -q**7/210 + q**6/90 + q**5/15 - 15*q**3 + 181*q. Let n(b) be the second derivative of t(b). Factor n(o).
-4*o*(o - 2)*(o + 1)
Let y be (-50)/(-30)*(-18)/(-10). Factor 1170*m**3 - 7*m**2 - y*m**2 + 5*m**4 - 1165*m**3.
5*m**2*(m - 1)*(m + 2)
Let f be 7 + (-23 + 3)/4. Factor -12*t - 2*t + t**f - 12 + 61.
(t - 7)**2
Let u(a) = -9*a**2 + 848*a + 857. Let m(o) = -3*o**2 + 283*o + 286. Let c(q) = 7*m(q) - 2*u(q). Factor c(j).
-3*(j - 96)*(j + 1)
Let q be 45/(3/(-84)*6). Let a be (-644)/q + (-2)/(-15). Find g such that a*g**2 + 0 - 2*g**3 - 6/5*g = 0.
0, 3/5, 1
Suppose -3*l + 13 = -4*o, 0 = 2*o + 4*l + 950 - 982. Find z, given that -1/5*z**o - 1/5*z + 2/5 = 0.
-2, 1
Let y(t) be the second derivative of -t**5/90 + t**4/18 + 4*t**3/27 - 26*t + 10. Find b such that y(b) = 0.
-1, 0, 4
Factor -110/13 - 2/13*b**3 + 2/13*b + 110/13*b**2.
-2*(b - 55)*(b - 1)*(b + 1)/13
Let g(k) = -5*k**2 - 84*k - 627. Let w(i) = -11*i**2 - 170*i - 1247. Let x(z) = 7*g(z) - 3*w(z). Determine d so that x(d) = 0.
-27, -12
Let l(j) = -55*j**2 + 285*j + 17325. Let n(m) = 5*m**2 - 26*m - 1575. Let p(v) = -4*l(v) - 45*n(v). Factor p(b).
-5*(b - 21)*(b + 15)
Suppose 0 = 3*j + 22 - 28. Let -6*p**2 - 11*p + j*p**2 - 3*p + 5*p**3 + 30 - 6*p**2 - 11*p = 0. Calculate p.
-2, 1, 3
Let a(i) = 152*i**2 + 210*i + 757. Let x(g) = -1265*g**2 - 1680*g - 6055. Let u(t) = -25*a(t) - 3*x(t). Let u(b) = 0. Calculate b.
-38, -4
Suppose 57*y + 59*y - 14*y = 0. Factor 2/15*v**2 + 0*v + y.
2*v**2/15
Factor -25/2*h + 1/2*h**2 + 63.
(h - 18)*(h - 7)/2
Let f be (-3480)/4785 - 2624/(-44). Factor 504/11*t - f - 28/11*t**3 - 2/11*t**4 - 26/11*t**2.
-2*(t - 2)**2*(t + 9)**2/11
Let l be 213*((5 - 150/35) + 0). Let i = 153 - l. Suppose 3/7*a**2 + i + 9/7*a = 0. What is a?
-2, -1
Let 9*t + 15/4*t**2 + 1/4*t**3 - 35 = 0. What is t?
-10, -7, 2
Let z(b) be the third derivative of b**8/336 + b**7/15 - 49*b**6/120 + 17*b**5/30 - 6*b**2 + 18*b. Factor z(p).
p**2*(p - 2)*(p - 1)*(p + 17)
Let q(k) be the third derivative of k**5/15 + 41*k**4/24 - 17*k**3/6 - 55*k**2. Let z(u) = u**2 + 13*u - 6. Let y(h) = -2*q(h) + 7*z(h). Factor y(j).
-(j - 8)*(j - 1)
Suppose 0 = -4*a - 5*a + 36. Suppose -15*d**3 + 5*d**2 - 5*d**a + 32075 + 15*d**5 - 32075 = 0. What is d?
-1, 0, 1/3, 1
Let g(c) be the third derivative of -19*c**2 - 27/1