vative of q**2 - 16*q - 5. Let m be r(10). Find x such that 3*x**4 + 2*x**4 + 6*x**3 + 3 - 8*x**4 - 6*x + 0*x**m = 0.
-1, 1
Suppose -5 - 4 = -x + v, -4*x = -3*v - 38. Let d = -2 + x. Factor 0*j**2 - 4*j**2 - j**3 - d*j - 8 - 2*j**2 - 3*j.
-(j + 2)**3
Let -22/3*p**3 + 7/3*p**5 + 2*p**4 - 3*p - 32/3*p**2 + 2/3 = 0. Calculate p.
-1, 1/7, 2
Let f(k) = -k**2 - 11*k - 6. Let q be f(-10). Let y(g) be the first derivative of 16*g - g**3 + 7*g + q - 20*g. Suppose y(m) = 0. What is m?
-1, 1
What is k in 33*k**2 - 39/2*k**3 + 0*k + 3/2*k**5 + 0 - 15*k**4 = 0?
-2, 0, 1, 11
Determine u so that -4/9*u**2 + 0 - 68/9*u**3 + 4/9*u**4 + 68/9*u = 0.
-1, 0, 1, 17
Let m(u) be the first derivative of 1/3*u**3 + 3*u + 0*u**2 - 2 - 1/6*u**4. Let k(o) be the first derivative of m(o). Factor k(d).
-2*d*(d - 1)
Let k(p) be the second derivative of -p**6/30 + 9*p**5/10 - 121*p**4/12 + 60*p**3 - 200*p**2 - 49*p. Suppose k(w) = 0. What is w?
4, 5
Let a be -4 + 2398/110 + -15. Find h, given that a*h + 12/5 + 2/5*h**2 = 0.
-6, -1
Let l(g) be the second derivative of g**7/231 - g**6/165 - g**5/11 - 4*g**4/33 - 14*g. Let l(d) = 0. What is d?
-2, -1, 0, 4
Let i(h) = -h**3 - h**2 + 2*h + 4. Let g be i(-1). Let w(d) be the first derivative of 3/2*d**2 + 3*d - g + 1/4*d**3. Factor w(c).
3*(c + 2)**2/4
Solve 0*i**2 + 0*i + 0 - 3/4*i**5 - 9/2*i**4 - 15/4*i**3 = 0 for i.
-5, -1, 0
Let s(r) = r**3 + r + 1. Suppose -11*w + 13*w = -2. Let p(j) = -6*j**3 + 4*j**2 - 6*j - 4. Let z(c) = w*p(c) - 4*s(c). Factor z(t).
2*t*(t - 1)**2
Let p = -18121 - -18126. Factor 1/3*w**p + 2/3*w + 7/3*w**2 + 5/3*w**4 + 3*w**3 + 0.
w*(w + 1)**3*(w + 2)/3
Let p(m) = -12*m - 810. Let j(b) = -b - 81. Let x(d) = -21*j(d) + 2*p(d). Let i be x(26). Solve 0*s + 22/3*s**i + 0 + 4/3*s**2 + 6*s**4 = 0.
-1, -2/9, 0
Suppose 2*q + i + 1 = 0, 3*q - 5*i - 40 = -9. Factor 12*g**2 - 28*g**q - 25 + 26*g + 4*g + 11*g**2.
-5*(g - 5)*(g - 1)
Let c be (-3)/30 + (-9)/(-90). Let x(p) be the second derivative of 1/60*p**4 + c - 1/5*p**2 + 4*p - 1/30*p**3. Let x(f) = 0. What is f?
-1, 2
Let d(s) be the second derivative of -s**5/140 + s**4/28 + 41*s + 1. What is k in d(k) = 0?
0, 3
Factor -60 + 415*a**2 - 485*a**2 + 58*a + 67*a + 5*a**3.
5*(a - 12)*(a - 1)**2
Let o(p) be the first derivative of p**4/4 - 10*p**3/3 - p**2/2 + 10*p - 189. Solve o(t) = 0.
-1, 1, 10
Let d be (-143)/(-33) - 2/(-3). Suppose 4*t**2 + 32*t - 5*t**2 + 2*t**2 - 64 - d*t**2 = 0. What is t?
4
Let g = 85 - 85. Let a(r) be the third derivative of 0*r + 0 + g*r**3 + 1/60*r**5 + 0*r**4 + 1/336*r**8 - 5*r**2 - 1/210*r**7 - 1/120*r**6. Factor a(f).
f**2*(f - 1)**2*(f + 1)
Let d be (173/25 + -7)/(4/(-10)). Factor 0 + 0*n + 1/5*n**2 - 1/5*n**4 + d*n**3 - 1/5*n**5.
-n**2*(n - 1)*(n + 1)**2/5
Let z be -1 + 3*(-25)/(-15). Factor 4*s**2 - 21*s - 6*s - z*s + 11*s + 24.
4*(s - 3)*(s - 2)
Let t(q) be the second derivative of -q**6/6 - 17*q**5/4 - 105*q**4/4 + 135*q**3/2 + 280*q. Factor t(c).
-5*c*(c - 1)*(c + 9)**2
Let k(l) be the second derivative of 1/4*l**4 + 0*l**2 - 1/2*l**3 + 0 + 6*l. Determine i, given that k(i) = 0.
0, 1
Determine a, given that -18/11 + 2/11*a**3 + 10/11*a**2 + 6/11*a = 0.
-3, 1
Let a(s) be the third derivative of -9*s**8/448 - 9*s**7/140 + 13*s**6/160 + 13*s**5/40 - s**4/8 - s**3 + 26*s**2. Suppose a(b) = 0. Calculate b.
-2, -1, -2/3, 2/3, 1
Suppose -i + j = -7, -3*i + j + 22 = -j. Suppose 2*t**4 + 8*t**2 - 8*t**2 + i*t + 5*t**2 + 12*t**3 + 13*t**2 = 0. Calculate t.
-4, -1, 0
Factor -8*v**2 - 12/7 - 118/7*v.
-2*(v + 2)*(28*v + 3)/7
Let q(b) be the second derivative of b**5/4 + 5*b**4/4 - 10*b**3/3 + 251*b. Factor q(j).
5*j*(j - 1)*(j + 4)
Suppose -31*g + 28 = -17*g. Let b(f) be the first derivative of 0*f**2 + 1/3*f**3 + g - 4*f. Suppose b(s) = 0. Calculate s.
-2, 2
Factor -10/3*d + 4/5*d**2 + 12/5 + 2/15*d**3.
2*(d - 2)*(d - 1)*(d + 9)/15
Suppose -201*m - 857 = -3269. Find c, given that 60 + 3/5*c**2 - m*c = 0.
10
Let z = -4 + -5. Let y be (-1 - 2)/3*z. Let 2*j**5 - j**4 + 7*j + 4*j**2 - 3*j**4 - y*j = 0. Calculate j.
-1, 0, 1
Let d(n) be the first derivative of 0*n**3 + 1/10*n**5 + n - 1/30*n**6 + 0*n**4 + 8 + 0*n**2. Let i(x) be the first derivative of d(x). Solve i(j) = 0.
0, 2
Let v(a) be the first derivative of 2*a**3/9 + 56*a**2/3 + 1568*a/3 + 205. Solve v(r) = 0.
-28
Let l(j) be the second derivative of j**8/672 + j**7/210 - j**6/240 - j**5/60 - 29*j**2/2 - 6*j. Let f(k) be the first derivative of l(k). Solve f(o) = 0 for o.
-2, -1, 0, 1
Let z(r) be the second derivative of 0*r**3 - 1/2*r**4 + 14*r + 0*r**2 + 3/20*r**5 + 0. Factor z(f).
3*f**2*(f - 2)
Let o(u) be the second derivative of -2*u**5/75 - 17*u**4/90 - 23*u**3/45 - 2*u**2/3 + 248*u. Determine j so that o(j) = 0.
-2, -5/4, -1
Let j be 4/(-14) + 671/854. Solve -j*y**2 - 1/2*y**3 + 0 + 0*y = 0.
-1, 0
Let q(u) be the third derivative of 1/4*u**4 + 0 + 3/2*u**3 - 1/80*u**5 - 1/160*u**6 + 0*u + 14*u**2. Solve q(o) = 0.
-2, 3
Let f(g) be the second derivative of g**5/450 + g**4/180 - 2*g**3/45 + 11*g**2/2 + g. Let q(n) be the first derivative of f(n). Factor q(k).
2*(k - 1)*(k + 2)/15
Let t be (-4)/9 + (-28770)/14040. Let c = 1/156 - t. Suppose 1 + 1/2*s**3 + 2*s**2 + c*s = 0. Calculate s.
-2, -1
Suppose -4*s - 10*i + 12*i = 0, -4*i = 5*s. Let z(m) be the second derivative of -1/12*m**4 + 0*m**2 + 4*m + s - 1/3*m**3. Solve z(r) = 0.
-2, 0
Let a = -15 + 27. Suppose -a + 20 = 2*m. Factor 6*k**2 + 4 + m*k**2 - 6*k - 5*k**2 - 3*k**2.
2*(k - 2)*(k - 1)
Factor -88/9 - 86/9*g + 2/9*g**2.
2*(g - 44)*(g + 1)/9
Let l(a) = 37*a**2 + 2*a + 1. Let s be l(1). What is f in -450*f**2 + 80 - 5*f**3 - 447*f**2 - s*f + 862*f**2 = 0?
-4, 1
Let k(r) be the second derivative of -r**6/150 + r**4/10 - 4*r**3/15 + r**2/2 - 13*r. Let d(w) be the first derivative of k(w). Factor d(s).
-4*(s - 1)**2*(s + 2)/5
Let w = -73 - -73. Suppose 6*c + 0 = -w. Factor -28*s**4 - 136/9*s**3 + 0 - 16/9*s**2 + 18*s**5 + c*s.
2*s**2*(s - 2)*(9*s + 2)**2/9
Let m be 0 - 7/(21/(-6)). Let z be (-2)/(0 - 8/m). Suppose 1/4*r + 1/4*r**5 - 1/2*r**3 - 1/4 - 1/4*r**4 + z*r**2 = 0. Calculate r.
-1, 1
Let y(b) be the third derivative of b**6/80 - b**5/20 + b**4/16 - 86*b**2. Factor y(m).
3*m*(m - 1)**2/2
Let w(r) be the second derivative of 0 + 1/5*r**6 + 1/3*r**3 - 12*r - 13/30*r**5 + 10/63*r**7 - 11/18*r**4 + 2/3*r**2. Determine a, given that w(a) = 0.
-1, -2/5, 1/2, 1
Suppose 12 = 5*y - 13, 19 = 3*x + 2*y. Find q, given that 57 + x*q**3 - q**2 + 2*q - 6*q**3 - 57 = 0.
-1, 0, 2/3
Let m(f) = f**3 + 7*f**2 + 7*f + 9. Let y be m(-6). Suppose -6*t**2 + 3*t**y + 3*t - 4*t + 9*t**2 + t**4 + 2*t = 0. Calculate t.
-1, 0
Suppose 10*p = 16*p - 18. What is b in 7*b - 48*b**2 + 6*b**4 - 15*b**5 + 0*b + 45*b**p + 8*b - 3*b = 0?
-2, 0, 2/5, 1
Let m(z) be the second derivative of z**10/13440 + z**9/30240 - z**4/3 + 7*z. Let q(p) be the third derivative of m(p). Factor q(w).
w**4*(9*w + 2)/4
Factor 2/5*h**2 + 29/5*h + 42/5 - 1/5*h**3.
-(h - 7)*(h + 2)*(h + 3)/5
Let s(t) = 3*t**3 - 3*t**2 + 4*t + 16. Let h(n) = -8*n**3 + 6*n**2 - 8*n - 34. Let w(u) = 2*h(u) + 5*s(u). Factor w(y).
-(y - 2)*(y + 2)*(y + 3)
Let r = 14 - 12. Factor 8*f**3 - 5*f**r + f**2 + 0*f**4 + f**4 + 3*f**4 - 8*f.
4*f*(f - 1)*(f + 1)*(f + 2)
Let x(k) be the first derivative of -k**5/5 + 5*k**4/4 + k**3/3 - 5*k**2/2 - 427. Solve x(w) = 0.
-1, 0, 1, 5
Let l(w) be the second derivative of 31*w**6/36 - 8*w**5/3 + 175*w**4/72 - 5*w**3/18 + 181*w. Let l(n) = 0. What is n?
0, 2/31, 1
Let q(a) be the first derivative of 3*a**4/4 + a**3 - 12*a**2 - 36*a - 343. Factor q(j).
3*(j - 3)*(j + 2)**2
Suppose 0 - 12/5*j + 3/5*j**2 = 0. What is j?
0, 4
Factor 12*t**2 + 2*t**4 + 7*t**4 + 4*t**5 - 4*t**2 + 7*t**4 + 20*t**3.
4*t**2*(t + 1)**2*(t + 2)
Let b(i) be the third derivative of i**8/84 - 2*i**6/15 + 2*i**5/15 + i**4/2 - 4*i**3/3 - 174*i**2. Factor b(f).
4*(f - 1)**3*(f + 1)*(f + 2)
Find i, given that 166/3*i**3 - 1174*i**2 + 6724/3 - 2/3*i**4 + 3034/3*i = 0.
-1, 2, 41
Suppose 2*w - 3*w = 5. Let b(q) = 9*q**2 + 2*q - 6. Let v(p) = p**2 + p - 1. Suppose -3*l - 1 = -4. Let c(k) = l*b(k) + w*v(k). Find t such that c(t) = 0.
-1/4, 1
Let t(v) be the third derivative of -v**5/330 - 95*v**4/33 - 36100*v**3/33 - 2*v**2 + 29*v. Factor t(k).
-2*(k + 190)**2/11
Let t(q) be the second derivative of 0*q**3 - 1/16