second derivative of -2/3*i**3 - 1/6*i**4 + k*i**2 - i + 0. Factor u(s).
-2*s*(s + 2)
Let z(s) be the first derivative of -2 - 3/5*s**2 - 7/15*s**4 - 1/45*s**6 + 32/45*s**3 + 4/15*s + 4/25*s**5. Find f such that z(f) = 0.
1, 2
Let i(j) be the first derivative of j**6/39 - j**4/13 + j**2/13 - 108. Let i(h) = 0. Calculate h.
-1, 0, 1
Let z(k) = -3*k**2 - 20*k - 17. Let m(h) = h**2 + 7*h + 6. Let w(a) = -8*m(a) - 3*z(a). Let v be w(-3). Factor v*l**2 + 0*l - 1/3*l**3 + 0 + 1/3*l**5 + 0*l**4.
l**3*(l - 1)*(l + 1)/3
Let k = 233 - 231. Let y(a) be the third derivative of -1/210*a**7 + 0*a**3 + 0*a + 1/30*a**5 + 1/120*a**6 + 0*a**4 + 0 - 4*a**k. Factor y(i).
-i**2*(i - 2)*(i + 1)
Suppose 181*a - 190*a = 0. Let w(h) be the third derivative of 0 + 10*h**2 - 1/160*h**6 + a*h + 1/32*h**4 - 1/80*h**5 + 1/8*h**3. Suppose w(o) = 0. Calculate o.
-1, 1
Let s(a) be the first derivative of -a**4/16 + a**3/2 - 3*a**2/2 + 3*a + 19. Let l(c) be the first derivative of s(c). Factor l(t).
-3*(t - 2)**2/4
Let w(p) = 5*p**2 + 15*p - 47. Let x(f) = -14*f**2 - 46*f + 140. Let t(u) = -8*w(u) - 3*x(u). Let t(g) = 0. What is g?
-11, 2
Let g be (-22)/(-8 - -6) + -6. Let o be (0 + (-15)/(-42))*4/g. Factor -1/7*j - o + 1/7*j**2.
(j - 2)*(j + 1)/7
Let d(w) be the first derivative of -7*w**6/30 + 17*w**5/25 - 9*w**4/20 - w**3/3 + 2*w**2/5 + 10. Find l such that d(l) = 0.
-4/7, 0, 1
Let t be 7 + -1 + -8 - -2. Let g(u) be the third derivative of -1/390*u**5 - 1/156*u**4 + 1/780*u**6 + 1/1365*u**7 + 0*u**3 + 0 + t*u - 3*u**2. Factor g(j).
2*j*(j - 1)*(j + 1)**2/13
Solve 8/3*y - 2/3*y**2 - 8/3 = 0 for y.
2
Let h(a) be the second derivative of -13*a**7/147 - 67*a**6/105 - 127*a**5/70 - 109*a**4/42 - 40*a**3/21 - 4*a**2/7 + 46*a. Suppose h(d) = 0. What is d?
-2, -1, -2/13
Let t be 5719/(-301) + (-418)/(-10). Suppose 3/5*k**5 + 84/5*k - t*k**2 - 24/5*k**4 + 15*k**3 - 24/5 = 0. Calculate k.
1, 2
Let t(s) be the first derivative of -s**5/5 + s**4/2 + s**3/3 - s**2 - 156. Let t(a) = 0. Calculate a.
-1, 0, 1, 2
Let h(j) be the second derivative of 5*j**4/12 + 5*j**3/3 - 15*j**2/2 + 36*j + 2. Factor h(l).
5*(l - 1)*(l + 3)
Let f(t) be the first derivative of t**4/14 - 10*t**3/21 - 74. Find k such that f(k) = 0.
0, 5
Let v = 1/8803 - -17603/26409. Factor -1/3*c - 1/3*c**2 + v.
-(c - 1)*(c + 2)/3
Let v(d) be the third derivative of -d**5/16 - 215*d**4/96 - 35*d**3/12 + 257*d**2 - d. Factor v(z).
-5*(z + 14)*(3*z + 1)/4
Suppose -132 - 33 = -33*m. Suppose 7/3*b**3 + 1/3*b**m - b**2 - 5/3*b**4 + 0*b + 0 = 0. Calculate b.
0, 1, 3
Let y be 16 + -14 + -3 + 4. Let b(q) be the first derivative of 5/28*q**4 + 0*q**2 + 5 + 2/21*q**y + 0*q. Solve b(g) = 0 for g.
-2/5, 0
Let d(v) be the third derivative of -v**8/6720 - v**7/280 - 3*v**6/80 + 8*v**5/15 + 6*v**2. Let y(u) be the third derivative of d(u). Let y(m) = 0. What is m?
-3
Solve -2/5*v**4 + 0 + 6/5*v**3 + 0*v**2 - 8/5*v = 0 for v.
-1, 0, 2
Let j(k) = -k**2 + 11*k - 23. Let c be j(6). Let r be 10/25 + c/(-30). Factor 1/6*t**3 - 1/6*t**2 - r*t + 0 + 1/6*t**4.
t*(t - 1)*(t + 1)**2/6
Let a(o) be the second derivative of -o**6/6 + 9*o**5/4 + 5*o**4/12 - 15*o**3/2 - 481*o. Find c such that a(c) = 0.
-1, 0, 1, 9
Let m be -2 + 0 - (-13)/((-13)/(-2)). Let a(p) be the third derivative of -1/150*p**5 + m*p + 2*p**2 + 1/30*p**4 + 0 + 0*p**3. Solve a(u) = 0 for u.
0, 2
What is p in -1443/7*p**2 + 3/7*p**3 + 172797/7*p + 174243/7 = 0?
-1, 241
Suppose -u = 2, -2*s + 5*u + 69 = -25. Let c be -1*(s/24 - 2). Factor 0 + 0*k**2 - c*k**3 + 1/4*k.
-k*(k - 1)*(k + 1)/4
Let s(w) be the first derivative of -1/2*w**4 - 2*w**2 + 5/3*w**3 + 1 + 6*w. Let j(c) be the first derivative of s(c). Factor j(r).
-2*(r - 1)*(3*r - 2)
Let y be ((-19)/(-4))/(22/(-264)). Let s = -55 - y. Factor 0*z**s + 0 + 3/5*z - 3/5*z**3.
-3*z*(z - 1)*(z + 1)/5
Let r = 1326 - 9274/7. Suppose -r - 10/7*k - 2/7*k**2 = 0. What is k?
-4, -1
Solve 228/7*d - 2/7*d**2 - 6498/7 = 0.
57
Suppose -2*t = 2*h - 14, -7*t + 10 = -2*t. Solve 5*j**3 - 10*j**4 - 8*j - h*j**4 - 10 - 5*j + 8*j + 25*j**2 = 0 for j.
-1, -2/3, 1
Let a = 1936/2901 + -2/2901. Factor -a*l**2 + 0*l + 8/3.
-2*(l - 2)*(l + 2)/3
Factor -9/2*k**4 + 1/2*k**5 + k**2 + 7*k**3 - 15/2*k + 7/2.
(k - 7)*(k - 1)**3*(k + 1)/2
Let b(g) be the third derivative of -g**7/630 - 7*g**6/360 - 13*g**5/180 + g**4/24 + g**3 + 452*g**2. Factor b(h).
-(h - 1)*(h + 2)*(h + 3)**2/3
Suppose 96*b**4 - 4*b - 132*b**3 + 2*b + 208*b**3 - 61*b**2 + 66*b**2 = 0. What is b?
-2/3, -1/4, 0, 1/8
Let f(j) = j - 1. Let y be f(3). Suppose -16*k + 6*k + 7*k - k**y + 7*k = 0. What is k?
0, 4
Let u be 7/5 + -1*(-3)/5. Let r(k) be the second derivative of 0*k**5 - k**u + 4*k + 0 - 1/15*k**6 + 0*k**3 + 1/3*k**4. Factor r(p).
-2*(p - 1)**2*(p + 1)**2
Suppose 5*r + b + 3*b = 26, -34 = -5*r + 4*b. Suppose -4 = 3*f - 5*f. Factor -3*g**f - r*g + g + 2*g.
-3*g*(g + 1)
Suppose -12 + 12 = 3*u. Suppose -3*f + 4 = -2*o, -4*o - 3 = -4*f + 1. Factor 9*q + 0 - 18*q**f + 5*q + 4 + u.
-2*(q - 1)*(9*q + 2)
Suppose -15 = -11*x + 8*x. Let y(m) be the first derivative of 4/25*m**x - 4/5*m**4 + 4/5*m + 8/5*m**3 - 8/5*m**2 - 5. Factor y(r).
4*(r - 1)**4/5
Factor 0*r**3 - 7*r + 7 - 25*r**2 + 47*r + 42 - 5*r**3 + 11.
-5*(r - 2)*(r + 1)*(r + 6)
Let h(s) be the third derivative of 1/120*s**5 + 1/240*s**6 + 0*s - 1/1344*s**8 - 1/24*s**3 + 0 - 1/96*s**4 + 2*s**2 - 1/840*s**7. What is b in h(b) = 0?
-1, 1
Find c such that -1/2*c**4 - c**3 + 4*c + 3/2*c**2 + 2 = 0.
-2, -1, 2
Let c(r) = -5*r**2 - 19*r + 7. Let p(g) = -75*g + 2*g**2 + 81*g + 2*g**2 - 2*g**2 - 2. Let q(s) = -6*c(s) - 17*p(s). Determine w, given that q(w) = 0.
1, 2
Let x = 29259 - 58497/2. Suppose 9*l - x + 3/2*l**2 = 0. Calculate l.
-7, 1
Suppose -13 = -20*x + 27. Let g(k) be the second derivative of k + k**x + 0 - 1/18*k**4 + 2/9*k**3. Find c, given that g(c) = 0.
-1, 3
Let q(c) be the third derivative of 0*c**5 + 0*c**4 - 1/525*c**7 + 1/300*c**6 + 0 + 0*c**3 + 0*c - c**2. Let q(o) = 0. What is o?
0, 1
Let s(w) = -46*w**2 - 34*w + 11. Let z(f) = -9*f**2 - 6*f + 2. Let v(y) = -4*s(y) + 22*z(y). What is n in v(n) = 0?
0, 2/7
Let x(r) be the third derivative of -r**7/210 - r**6/20 + 4*r**4/3 + 442*r**2. Find c, given that x(c) = 0.
-4, 0, 2
Let a(u) be the first derivative of 5*u**9/3024 - u**8/56 + 13*u**7/168 - u**6/6 + u**5/6 - 3*u**3 - 14. Let b(g) be the third derivative of a(g). Factor b(n).
5*n*(n - 2)**2*(n - 1)**2
Suppose -26/9*q - 2/9*q**2 - 44/9 = 0. Calculate q.
-11, -2
Let d = 849 + -849. Let w(s) be the first derivative of 1/4*s**3 + 3/8*s**2 - 8 + d*s. Suppose w(v) = 0. What is v?
-1, 0
Let z = 1/9932 + 39723/49660. Suppose 4/5*v**2 + 4/5*v**3 - 4/5*v + 0 - z*v**4 = 0. Calculate v.
-1, 0, 1
Let a = 12362 - 210152/17. Factor 0 + 0*q**2 - 2/17*q + a*q**3.
2*q*(q - 1)*(q + 1)/17
Let h(p) be the second derivative of p**8/1120 + p**7/168 - p**6/60 - 3*p**5/40 - 19*p**4/12 + 17*p. Let q(z) be the third derivative of h(z). Factor q(v).
3*(v - 1)*(v + 3)*(2*v + 1)
Let -3/4*w - 9/8 + 3/8*w**2 = 0. Calculate w.
-1, 3
Let a(b) be the first derivative of -4*b**3/9 - 4*b**2/3 - 6. Find o, given that a(o) = 0.
-2, 0
Let d be (-1)/2 - (-3 + 11 - 10). Let v(t) be the first derivative of 2*t + 1/3*t**3 - 4 + d*t**2. Find m such that v(m) = 0.
-2, -1
Let r(z) be the second derivative of 4/5*z**2 - 13/30*z**4 - 11/100*z**5 + 2/25*z**6 + 2/5*z**3 + 0 - 8*z + 1/42*z**7. Suppose r(q) = 0. What is q?
-2, -2/5, 1
Let l(f) be the first derivative of -f**3 + 246*f**2 - 20172*f + 537. Factor l(s).
-3*(s - 82)**2
Solve 6/13*z**3 - 14/13*z**4 + 118/13*z**2 + 96/13 + 2/13*z**5 - 16*z = 0 for z.
-3, 1, 4
Suppose r = -3*r + 4*j + 28, 0 = -4*j. Let l be 3/r + (-65)/315. Let -l - 1/3*u - 1/9*u**2 = 0. Calculate u.
-2, -1
Let c(h) be the third derivative of 1/63*h**7 - 36*h**2 + 1/9*h**4 - 4/45*h**5 - 7/180*h**6 + 0 + 0*h + 0*h**3. Suppose c(i) = 0. Calculate i.
-1, 0, 2/5, 2
Let s(b) = -2*b**2 + 20*b + 17. Let z be s(9). Let f be ((-5)/z)/(1/(-6)). Find x such that -4/7*x - 18/7*x**2 - 22/7*x**4 - f*x**5 + 0 - 30/7*x**3 = 0.
-1, -2/3, 0
Let l(r) be the third derivative of -r**8/112 - r**7/7 - 37*r**6/40 - 3*r**5 - 9*r**4/2 + 36*r**2. Factor l(w).
-3*w*(w + 2)**2*(w + 3)**2
What is p in -5*p**5 + 0*p**5 + 298*p**3 + 20*p**4 - 293*p**3 - 20*p**2 = 0?
-1, 0, 1, 4
Let 0*u*