 4*y**4 - 21*y**3 + r*y**3.
4*y**2*(y + 1)**2
Let p be 0/(8/(-2) - -6). Let m(u) be the second derivative of 0 + 1/12*u**4 + p*u**3 + 3*u + 0*u**2 + 1/20*u**5. Factor m(q).
q**2*(q + 1)
Let y(u) be the first derivative of -3*u**4/16 - u**3/4 + 3*u**2/2 + 3*u + 121. Factor y(t).
-3*(t - 2)*(t + 1)*(t + 2)/4
Let r(u) be the third derivative of -2*u**7/315 - 2*u**6/45 + 37*u**5/45 - 34*u**4/9 + 8*u**3 - 186*u**2. Let r(b) = 0. What is b?
-9, 1, 2
Let r = 40927 + -207464/5. Let t = r + 569. Factor 0 + t*b**2 - 16/5*b + 12/5*b**3 - 4/5*b**5 - 8/5*b**4.
-4*b*(b - 1)**2*(b + 2)**2/5
Let z = -50258 + 50261. Determine w so that -3/2*w - 5/2*w**2 + 2 + 3/2*w**z + 1/2*w**4 = 0.
-4, -1, 1
Let p(r) be the first derivative of 2/15*r**3 + 11 + 2/5*r**2 + 0*r. Factor p(t).
2*t*(t + 2)/5
Let l(u) be the first derivative of u**6/900 - u**4/60 + 17*u**3/3 + 5. Let w(h) be the third derivative of l(h). Factor w(k).
2*(k - 1)*(k + 1)/5
Let u(p) be the first derivative of -p**5/15 + 5*p**4/4 - 38*p**3/9 + 4*p**2 + 130. Let u(r) = 0. What is r?
0, 1, 2, 12
Let v(p) be the second derivative of -5*p**7/21 - p**6/2 + p**5 + 5*p**4/4 - 5*p**3/3 + 16*p + 17. Determine n, given that v(n) = 0.
-2, -1, 0, 1/2, 1
Let a(w) = -4*w**3 - 52*w**2 + 106*w - 86. Let i(v) = v**3 + 4*v**2 + 1. Let n(k) = -2*a(k) - 12*i(k). What is j in n(j) = 0?
1, 5, 8
Find l such that 4*l**5 - 12*l**4 - 500*l**2 + 2*l + 4*l**3 - 2 + 2 - 10*l + 512*l**2 = 0.
-1, 0, 1, 2
Let n(i) = -i**3 - 5*i**2 + 6*i - 3. Let d be n(-5). Let s = -28 - d. Find j, given that -j**s - 13 + 20 - 11 + j**3 - 3*j**4 + 7*j**2 = 0.
-2, -1, 1
Suppose 6*f + 58 = 8*f. Factor 5 - 3 + 4*j**2 - 24*j + 5 + f.
4*(j - 3)**2
Factor -828 + 386 - 24*v**2 - 15*v - 3*v**3 + 592.
-3*(v - 2)*(v + 5)**2
Let 3*d + 4*d + 1645*d**4 - 9*d**3 - 7*d + 9*d**5 - 1639*d**4 - 6*d**2 = 0. What is d?
-1, -2/3, 0, 1
Let i(b) be the second derivative of b**5/10 + 14*b**4 + 784*b**3 + 21952*b**2 - 191*b. Let i(r) = 0. What is r?
-28
Let l(y) = -24*y**3 - 20*y**2 - 10*y - 10. Let a(n) = 2*n**3 + n + 1. Let b(x) = -10*a(x) - l(x). Let b(u) = 0. Calculate u.
-5, 0
Let l(m) be the first derivative of -4*m**5/5 - 36*m**4 - 1432*m**3/3 - 1224*m**2 - 1156*m - 290. Factor l(b).
-4*(b + 1)**2*(b + 17)**2
Let b(x) be the second derivative of -3/2*x**2 + 11/12*x**3 + 1/2*x**4 - 1/8*x**5 - 20*x + 0. Find z, given that b(z) = 0.
-1, 2/5, 3
Let g = 5171 - 20669/4. Factor -3/2 + 21/4*d**2 + g*d.
3*(d + 1)*(7*d - 2)/4
Let i(w) be the third derivative of -5*w**8/112 + w**7/70 + w**6/8 - w**5/20 - 3*w**2 - 2. Find h, given that i(h) = 0.
-1, 0, 1/5, 1
Factor 27/8 + 39/8*p + 1/2*p**2.
(p + 9)*(4*p + 3)/8
Determine s so that -2/15*s**3 - 2/15*s**4 - 4/5 + 14/15*s**2 + 2/15*s = 0.
-3, -1, 1, 2
Suppose m**2 - 11/2*m - 1/2*m**5 - 3 + 6*m**3 + 2*m**4 = 0. What is m?
-1, 1, 6
Let x(y) be the third derivative of 1/280*y**7 + 0 + 0*y - 25*y**2 + 0*y**4 - 1/160*y**6 + 1/240*y**5 - 1/1344*y**8 + 0*y**3. Find r, given that x(r) = 0.
0, 1
Let t(v) be the first derivative of -4*v**5 - 65*v**4/4 + 45*v**2/2 + 245. Solve t(l) = 0.
-3, -1, 0, 3/4
Let h(s) be the third derivative of 5*s**8/1008 + 2*s**7/63 + s**6/24 + s**2 - 25. Suppose h(v) = 0. What is v?
-3, -1, 0
Let x(g) be the second derivative of -5/12*g**4 + 0 - 25*g + 0*g**2 + 0*g**3. Find a such that x(a) = 0.
0
Let b(x) be the first derivative of -x**5/40 + 5*x**4/16 - 3*x**3/8 + 141. Find o, given that b(o) = 0.
0, 1, 9
Let t(b) = 8*b**4 - 24*b**3 - 53*b**2 + 11*b + 32. Let c(p) = -4*p**4 + 12*p**3 + 26*p**2 - 6*p - 16. Let q(i) = -13*c(i) - 6*t(i). Factor q(h).
4*(h - 4)*(h - 1)*(h + 1)**2
Let u be 4/10 - (68/20 + -3). Let q(m) be the second derivative of 1/8*m**3 + u + 1/48*m**4 + 5*m + 0*m**2. Suppose q(s) = 0. What is s?
-3, 0
Let m(x) be the first derivative of 0*x + 1/33*x**3 - 1/44*x**4 + 3/11*x**2 - 33. Suppose m(f) = 0. Calculate f.
-2, 0, 3
Let a(d) be the first derivative of 39*d**5/5 + 18*d**4 - 4*d**3 - 36. Factor a(g).
3*g**2*(g + 2)*(13*g - 2)
Let g(f) be the first derivative of -f**5 - 5*f**4/2 + 5*f**3 + 10*f**2 - 20*f + 217. Factor g(l).
-5*(l - 1)**2*(l + 2)**2
Suppose -3*f + 9 = p, -3*p + 5 = f - 2*p. Suppose -30 = -162*h + 156*h. Solve 3*g**h + 3*g**2 - 6*g - 3*g**4 + 7*g**f + 5*g**2 - 9*g**3 = 0.
-2, 0, 1
Let a be 16/10*10/4. Let z be (a + -5)/((-2)/6). Factor -z*v - 4 - 2 + 1 - 1 + 24*v**2 - 15*v**3.
-3*(v - 1)**2*(5*v + 2)
Let m(f) = -f - 3. Suppose 31 = -5*t - 14. Let v be m(t). Factor -3*a + v - 2*a**3 - a + 3*a - 6*a**2 + 3*a.
-2*(a - 1)*(a + 1)*(a + 3)
Factor 360*o + 23*o**2 - 65*o - 325 + 7*o**2.
5*(o - 1)*(6*o + 65)
Suppose 5/2*a**2 + 0 - 11/2*a**5 + a + 31/2*a**4 - 27/2*a**3 = 0. What is a?
-2/11, 0, 1
Determine z, given that 384/7*z**3 - 576/7*z**2 + 2/7*z**5 + 0*z + 0 - 52/7*z**4 = 0.
0, 2, 12
Let q(h) be the first derivative of -3/5*h**5 + 2/5*h**3 - 9/20*h**4 + 0*h + 22 + 0*h**2. Solve q(d) = 0.
-1, 0, 2/5
Factor 2 + 2/9*j**2 - 20/9*j.
2*(j - 9)*(j - 1)/9
Find x such that -x**2 + 7/5*x - 2/5 = 0.
2/5, 1
What is w in 20*w**2 - 44*w**3 + 28*w**4 - 57*w**5 + 0*w**2 + 53*w**5 = 0?
0, 1, 5
Let z be 6/(-15) - 132/(-30). Factor 28*a - 5*a**z + 28*a + 16*a - 180 + 55*a**2 - 12*a - 10*a**3.
-5*(a - 2)**2*(a + 3)**2
Let p(k) be the third derivative of -k**7/630 - 7*k**6/9 - 9659*k**5/90 + 1645*k**4/3 - 2209*k**3/2 + 74*k**2. Determine s, given that p(s) = 0.
-141, 1
Determine n so that -3 - 3/4*n**3 + 21/4*n - 3/2*n**2 = 0.
-4, 1
Let h(b) be the third derivative of b**5/160 - b**4/64 - b**3/8 - 5*b**2 - 17. Suppose h(t) = 0. What is t?
-1, 2
Suppose 14 = -4*s + 11*s. Determine r, given that 316*r**2 - 27*r**4 - 171*r**2 - 193*r**s + 63*r**3 + 12*r = 0.
0, 2/3, 1
Determine y so that -3*y**4 - 28 - 172*y - 148*y**3 + 1183*y**2 - 1459*y**2 + 3*y**4 - 16*y**4 = 0.
-7, -1, -1/4
Let a = -9 - -2. Let g be 11/15 - ((-21)/9)/a. Factor 0*q**3 - g*q**4 + 0 + 0*q + 0*q**2.
-2*q**4/5
Factor -1/3*a**4 + 32/3 + 3*a**3 + 0*a - 22/3*a**2.
-(a - 4)**2*(a - 2)*(a + 1)/3
Suppose -4*g - 44 = 5*r - 10, g = 2*r + 24. Let s be (-34)/r + 6/(-15). Factor -4/9*a + 0 + 2/9*a**s + 2/9*a**2.
2*a*(a - 1)*(a + 2)/9
Let c be (-13)/((-52)/24) - (-3)/(-1). Let k(r) be the first derivative of 2 + 1/8*r**4 + 2/3*r**c + 0*r + r**2. Find t, given that k(t) = 0.
-2, 0
Let d be ((-26)/(-18) + -1)/((-2)/(-9)). Determine s so that 4*s**d + 3 - 20*s - 11 + 24 = 0.
1, 4
Let y(d) be the second derivative of -d**4/6 - 178*d**3/3 - 7921*d**2 - 262*d. Factor y(z).
-2*(z + 89)**2
Let n be 10*(12/(-10) - 0). Let a = 16 + n. Factor 0*v**3 - v**3 + a*v**3.
3*v**3
Suppose -16 = 2*p - 8. Let k be p/10*6/(-12)*3. Factor -12/5 - k*q**5 + 3*q**3 - 3/5*q**2 - 24/5*q + 3/5*q**4.
-3*(q - 2)**2*(q + 1)**3/5
Factor 4*c**4 - 112*c - 276*c**3 - 76*c**2 + 87*c**3 + 85*c**3 + 96*c**3 - 48.
4*(c - 6)*(c + 1)**2*(c + 2)
Let l(i) be the third derivative of 15*i**2 - 1/6*i**3 - 1/120*i**6 + 0*i + 1/60*i**5 + 0 + 1/24*i**4. Factor l(h).
-(h - 1)**2*(h + 1)
Suppose 0 = -15*g + 62 - 17. Let h(z) be the second derivative of 4*z + 0*z**2 + 0 + 1/12*z**4 + 0*z**g. Factor h(a).
a**2
Solve 0*n + 4*n**2 - 1/8*n**3 + 0 = 0.
0, 32
Let m(h) = h**4 - h**3 - h**2 - h + 1. Let x(f) = -8*f**4 - 492*f**3 - 16332*f**2 - 179682*f - 3. Let y(i) = 3*m(i) + x(i). Factor y(p).
-5*p*(p + 33)**3
Let a(h) be the first derivative of h**4/6 + 2*h**3/3 + h**2 + 5*h + 17. Let k(o) be the first derivative of a(o). Let k(n) = 0. Calculate n.
-1
Let p(h) = 3*h**4 - 37*h**3 - 75*h**2 - 43*h. Let q(n) = n**4 + n**3 + n**2 - n. Let m(k) = p(k) - 4*q(k). Factor m(z).
-z*(z + 1)**2*(z + 39)
Let k(f) = -9*f + 7. Let y be k(-1). Determine h so that 81*h**3 - y - 12*h**2 - 24*h + 82*h**3 - 165*h**3 = 0.
-2
Let z(s) be the first derivative of -s**4/14 - 8*s**3/7 - 11*s**2/7 + 182. Find b, given that z(b) = 0.
-11, -1, 0
Let v(z) = 450*z**3 + 565*z**2 + 138*z + 13. Let r(g) = 675*g**3 + 847*g**2 + 208*g + 20. Let i(o) = 5*r(o) - 8*v(o). Find u, given that i(u) = 0.
-1, -2/15
Determine g, given that 18/5 + 12/5*g + 2/5*g**2 = 0.
-3
Suppose -z + 9 = 4. Let g = 9 - z. Suppose -4*m - 4*m**2 + 5*m + 3*m - 4 + g*m = 0. What is m?
1
Let i(y) = y - 1. Let d(v) = -v**2 + v - 1. Let s(x) = d(x) - 2*i(x). Let t(f) = 8*f - 4. Let u(z) = 4*s(z) + t(z). Find p, given that u(p) = 0.
0, 1
Let m be (-21)/35 - 69/(-15). Suppose 