d derivative of p**7/189 - 7*p**6/90 - 14*p**5/45 + 10*p**4/27 + 375*p**2 - 2*p - 2. Find y such that g(y) = 0.
-2, 0, 2/5, 10
Let g be 4/(12/((-36)/(-6))). Factor 15*n - 9 - n**g - 8*n - 17*n.
-(n + 1)*(n + 9)
Let l(d) be the second derivative of 0*d**4 + 0 - 3/140*d**5 + 15*d + 3/14*d**3 + 3/7*d**2. Factor l(k).
-3*(k - 2)*(k + 1)**2/7
Determine c, given that 44 - 19/2*c + 1/2*c**2 = 0.
8, 11
Let o(f) be the third derivative of 0 + 1089/2*f**3 - 33/4*f**4 + f**2 + 1/20*f**5 + 20*f. Suppose o(t) = 0. What is t?
33
Let i(t) be the second derivative of -t**6/25 - 72*t**5/25 - 23*t**4/5 + 48*t**3/5 + 141*t**2/5 - 5459*t. What is y in i(y) = 0?
-47, -1, 1
Find d, given that -4*d**3 - 219024*d - 8*d**3 + 10*d**3 + d**3 + 1872*d**2 - 3*d**3 = 0.
0, 234
Let w(l) be the third derivative of 0*l**4 - 1/896*l**8 - 253*l**2 + 0 + 0*l - 7/320*l**6 - 1/112*l**7 - 3/160*l**5 + 0*l**3. Factor w(s).
-3*s**2*(s + 1)**2*(s + 3)/8
Let y be 334/(-2171) + ((-3372)/130)/3 - -9. What is l in -2/5*l + y*l**2 + 1/5 = 0?
1
Factor 1858*u**2 + 1165*u**4 - 434*u - 1162*u**4 - 2405*u - 233*u + 1022*u**2 + 189*u**3.
3*u*(u - 1)*(u + 32)**2
Let g(d) be the second derivative of -d**5/15 - 5*d**4/9 + 332*d**3/9 - 320*d**2/3 + 271*d. Solve g(i) = 0.
-16, 1, 10
Let c(v) be the second derivative of 0*v**3 - 3/20*v**5 + 3/14*v**7 + 0 + 0*v**2 + 1/2*v**4 - 2/5*v**6 + 50*v. Factor c(d).
3*d**2*(d - 1)**2*(3*d + 2)
Let k(r) be the third derivative of 17*r + 0 + 1/30*r**5 + 0*r**3 + 3*r**2 - 3/4*r**4. Factor k(y).
2*y*(y - 9)
Factor -296 + 589 - 2644*u**3 - 177914*u - 257686*u - 4*u**4 - 293 - 438240*u**2.
-4*u*(u + 1)*(u + 330)**2
Let u = 1129216/54887 - 16/7841. Factor -4/7*w**2 - 48/7*w - u.
-4*(w + 6)**2/7
Let w(t) = -15*t**2 - 54*t - 12. Let h(a) = -7 + 6 + 2*a + a**2 - 3*a + 2. Let f(d) = 12*h(d) + w(d). Factor f(v).
-3*v*(v + 22)
Let i(x) = -11*x**3 + 791*x**2 - 31206*x + 30456. Let d(w) = -65*w**3 + 4745*w**2 - 187235*w + 182730. Let v(u) = 6*d(u) - 35*i(u). Suppose v(k) = 0. What is k?
1, 78
Suppose 617*p**2 + 9*p - 8*p - 16*p - 612*p**2 = 0. Calculate p.
0, 3
Find b such that -8*b**3 + 14*b**2 + 56/5*b - 16/5*b**5 - 62/5*b**4 - 8/5 = 0.
-2, -1, 1/8, 1
Let m(s) be the third derivative of 269*s**2 - 4/21*s**3 + 0*s - 5/84*s**4 - 1/210*s**5 + 0. Factor m(h).
-2*(h + 1)*(h + 4)/7
Let d = -1861 - -1861. Suppose -5*y + 14 = -2*q, d = -7*y + 10*y + 2*q - 18. Factor 0 - 16/9*j**2 - 2/9*j**y - 14/9*j**3 + 32/9*j.
-2*j*(j - 1)*(j + 4)**2/9
Suppose 0 = -9*p + 6*p + q - 203, -2*p - q = 127. Let s be 1371/90 + 55/p. Let s*b - 16/5 - 8*b**4 - 124/5*b**2 + 6/5*b**5 + 102/5*b**3 = 0. Calculate b.
2/3, 1, 2
Suppose 6*s - 2897 = -2909. Let o be -1 + (-246)/(-30) + 14/s. Factor 1/5*u**4 + 0*u + 0 - 2/5*u**2 + o*u**3.
u**2*(u - 1)*(u + 2)/5
Suppose 27*f + 7*f + 5*f = 78. Let u(s) be the first derivative of -140*s**f - 15/4*s**4 + 125/3*s**3 + 80*s + 33. Factor u(c).
-5*(c - 4)**2*(3*c - 1)
Let g(x) be the first derivative of 46/9*x**2 + 1058/9*x + 2/27*x**3 + 53. Determine o so that g(o) = 0.
-23
Let u(x) = 13*x**2 + 156*x - 471. Let a(i) = 28*i**2 + 312*i - 941. Let y(n) = -6*a(n) + 13*u(n). Solve y(t) = 0 for t.
-159, 3
Factor -10*t + 29/6*t**2 + 2/3.
(t - 2)*(29*t - 2)/6
Factor 102*q - 80*q**3 + 235*q**2 + 900*q + 5*q**4 - 322*q - 2640.
5*(q - 11)*(q - 4)**2*(q + 3)
Let f = -47062 - -47065. Find k, given that -56/5*k**2 + 4/5*k**f + 48*k - 288/5 = 0.
2, 6
Let j be ((-3)/(-2))/((-8 + -1)*(-2 + -12)/14). Factor -j*p**3 + 0 - 5/6*p - p**2.
-p*(p + 1)*(p + 5)/6
Suppose -4*a + 16 = -16. Suppose o - a = 23. Factor 21*t**2 + 36 - 5*t**2 + 5*t**2 - 3*t**3 - 17*t - o*t.
-3*(t - 3)*(t - 2)**2
Let q be 59 - 51 - (3 + 3). Let y(v) be the third derivative of 0 + 5/276*v**4 + 0*v + 9*v**q + 4/69*v**3 + 1/690*v**5. Factor y(k).
2*(k + 1)*(k + 4)/23
Let r = -8813 - -8817. Suppose 0 = -2*d + 2*i + 4, 2*i - 5 + 0 = -d. Find a such that -32 - 87*a + 179*a + 104*a**2 - 196*a**5 - 548*a**d - 672*a**r + 52*a = 0.
-2, -1, 2/7
Let q(m) be the third derivative of -m**6/1080 - 17*m**5/540 + 5*m**4/54 + 2*m**3/3 + 24*m**2 + 7*m. Find h such that q(h) = 0.
-18, -1, 2
Let a be 3*-458*11/(-22). Determine w so that a*w - 33*w**2 - 3*w**2 - 4*w**3 - 44 - 603*w = 0.
-11, 1
Suppose -6184/15*s**2 - 976/5*s**4 + 626/5*s - 188/15 + 7454/15*s**3 - 32/15*s**5 = 0. Calculate s.
-94, 1/4, 1
Let f(w) = w**2 - 9*w + 14. Let j be f(4). Let y = j - -15. Let 13*k + 2*k**2 + y*k - 19*k - k**3 = 0. What is k?
-1, 0, 3
Suppose -6*n = n - 21. Factor 130*f**n - 261*f**3 - 4*f**2 + 129*f**3.
-2*f**2*(f + 2)
Let a(b) = -19391*b + 38784. Let g be a(2). Find y, given that 10*y**g + 98/5 + 28*y = 0.
-7/5
Let y(p) = -3*p**3 - 32*p**2 - 49*p + 60. Let t(h) = 12*h**3 + 129*h**2 + 198*h - 240. Let g(m) = -8*t(m) - 33*y(m). Find r, given that g(r) = 0.
-5, -4, 1
Let i be 128/64 + 0/(3*12/(-18)). Suppose -874/3*w - 88/3*w**i + 2116/3 - 2/3*w**3 = 0. What is w?
-23, 2
Find p such that -2/11*p**2 - 54*p + 0 = 0.
-297, 0
Suppose 0 = -3*u + u - 10, 2*y - 9 = 3*u. Let s = 5 + y. Factor -i**2 - 10*i**3 - 14*i**s + 20*i - 11 + 16 + 15 + 5*i**4.
5*(i - 2)**2*(i + 1)**2
Suppose 5*c = 2*j - 5, 0 = -2*c + 3*c - 5. Let d be j/20*(-21)/((-56)/8). Factor 11/4*v - d*v**2 - 1/2.
-(v - 1)*(9*v - 2)/4
Suppose 61*z + 47*z = -4*z + 21*z. Factor z + 16/9*d**2 + 2/9*d**5 + 0*d**4 - 4/3*d**3 - 2/3*d.
2*d*(d - 1)**3*(d + 3)/9
Let h = 101 + -98. Factor 68317*q + 17*q**2 - 9*q**2 + 34*q**2 + 3*q**h - 68170*q.
3*q*(q + 7)**2
Let q(p) be the third derivative of -p**8/2016 - p**7/180 + p**6/45 + 11*p**5/45 - 5*p**4/3 + 4*p**3 + 803*p**2 + 1. Solve q(m) = 0.
-6, 1, 2
Let a(l) be the second derivative of 511*l**4/90 + 57*l**3/5 + 2*l**2/15 + 818*l. Factor a(f).
2*(f + 1)*(511*f + 2)/15
Let n(l) be the third derivative of -l**5/70 + 487*l**4/14 - 139*l**3 + 7033*l**2 - l. Factor n(i).
-6*(i - 973)*(i - 1)/7
Factor 2460/7 + 2462/7*q + 2/7*q**2.
2*(q + 1)*(q + 1230)/7
Suppose 114*r + 3502 = 3730. Factor -2/5*p**r - 288/5 - 48/5*p.
-2*(p + 12)**2/5
Let m(t) be the second derivative of t**6/10 - 27*t**5/10 - 8*t + 13. Let m(o) = 0. What is o?
0, 18
Let k(g) be the second derivative of -10/3*g**4 - 2/21*g**7 + 45*g - 12/5*g**5 - 2*g**3 + 0 + 0*g**2 - 4/5*g**6. Find r such that k(r) = 0.
-3, -1, 0
Let s(b) be the first derivative of 4*b**3/3 - 5*b**2 - 6*b - 2. Let i(d) = -7*d**2 - 197*d + 11 - 170*d + 386*d. Let v(l) = 6*i(l) + 11*s(l). Factor v(n).
2*n*(n + 2)
Suppose -3*b + 235 = -4*s, -3*b + 332 = b + 4*s. Let a be ((-8)/10)/(5 + (-502)/100). Factor -a*h**2 - 16 - 37*h**2 - 8*h + b*h**2 + 2*h**3.
2*(h - 2)*(h + 2)**2
Let f = 288 + 240. Let x = -2639/5 + f. Solve -x*d**3 + 0 + 1/5*d**5 - d**4 + 0*d + d**2 = 0 for d.
-1, 0, 1, 5
Let z = 238 - 236. Find f such that -2 + z - 7*f - 33*f - 4*f**2 = 0.
-10, 0
Let c be (-510)/(-209) - (-1384)/13148. What is m in 2/11*m**4 + 0*m - 30/11*m**2 + c*m**3 + 0 = 0?
-15, 0, 1
Let b be (8/38)/2 + (-11310)/(-494). Suppose -2*m - j = -7*m + b, -3*j - 5 = m. Factor -10/3*u**3 + 0 + 2/3*u**m + 2*u**2 + 0*u + 2/3*u**5.
2*u**2*(u - 1)**2*(u + 3)/3
Let x(g) be the third derivative of -1/20*g**6 - 1/210*g**7 + 5/6*g**3 + 0*g + 8 + 1/4*g**4 - 1/15*g**5 + 2*g**2. Factor x(j).
-(j - 1)*(j + 1)**2*(j + 5)
Let w be 12/(-9) + 34/102. Let c be w - (-7)/(-21)*1*-9. Solve -25/6*o**c + 0 + 5/3*o = 0.
0, 2/5
Let y(u) be the first derivative of -4*u**5/5 - 22*u**4 + 1008*u**3 - 11956*u**2 + 58996*u - 3221. Find a such that y(a) = 0.
-43, 7
Factor 0*i**2 - 4/3*i**4 + 0*i + 3896/3*i**3 + 0.
-4*i**3*(i - 974)/3
Factor 62 - 125/2*q - 1/8*q**3 + 16*q**2.
-(q - 124)*(q - 2)**2/8
Suppose 270 + 31308*k + 4*k**3 - k**3 - 132*k**2 - 31449*k = 0. What is k?
-2, 1, 45
Let -172*q + 79*q**2 - 174901 + 174989 + 4*q**3 + q**2 = 0. Calculate q.
-22, 1
Suppose -4*h - 2*u + 0 = 10, -2*h + 5*u - 23 = 0. Let t = 27 + h. Factor -2*p**2 - t + 12*p + 4*p**2 + 33.
2*(p + 1)*(p + 5)
Let -3*q**2 + 9/7*q**4 - 3/7*q**3 + 0*q + 3/7*q**5 + 12/7 = 0. Calculate q.
-2, -1, 1
Factor -149/2*p - 1/4*p**2 - 22201/4.
-(p + 149)**2/4
Let m be (14/1)/(-2)*(3 + -4). Suppose -m + 16*d + 19 + 16*d + d**3 + 11*d**2 + 16 = 0. What is d?
-7, -2
Let d(n) be the second derivative of 0 + 1/18*n**4 + 94/9*n**3 + 2209/3*n**2 - 100*n. Factor d(h).
2*(h + 47)**2/3
Let q(y) be the first derivative of -1/8*y**4 + 1/3*y**3