d derivative of 3*r**2 + 1/30*r**5 - 1/3*r**3 - 1/12*r**4 + 0*r + 0 + 1/60*r**w. Suppose o(z) = 0. Calculate z.
-1, 1
Let r(j) = -j**4 + j**3 + j**2 + j + 1. Let x(h) = -4*h**4 + 4*h**3 + 16*h + 2. Let f(p) = -12*r(p) + 2*x(p). Suppose f(l) = 0. Calculate l.
-2, 1
Let w = 2/407 + 1618/2035. Factor w*k**3 - 3/5*k**2 - 2/5*k + 1/5 + 4/5*k**4.
(k + 1)**2*(2*k - 1)**2/5
Let n(r) be the third derivative of 9*r**8/448 + 3*r**7/280 - 23*r**6/160 + 13*r**5/80 - r**4/16 + 5*r**2. Let n(s) = 0. Calculate s.
-2, 0, 1/3, 1
Suppose -3 = 4*l - 11. Find w such that 3*w**l - 4 - 2*w**2 + 6*w - 4*w**2 + 1 = 0.
1
Factor -1/5*y**3 + 1/5*y + 0 + 0*y**2.
-y*(y - 1)*(y + 1)/5
Let y(j) be the first derivative of -5*j**6/6 - 3*j**5 - 5*j**4/2 + 36. Factor y(f).
-5*f**3*(f + 1)*(f + 2)
Suppose 3*p = -0*p - i + 11, 9 = 2*p + i. Let v(j) be the first derivative of 3 + 1/3*j**3 - j**p + 0*j. Factor v(k).
k*(k - 2)
Let p be (-84)/(-80) + (7/(-4))/7. Factor -p - 8/5*k**2 + 2*k + 2/5*k**3.
2*(k - 2)*(k - 1)**2/5
Factor -f - 2592*f**5 - 7*f + 286*f**3 - 770*f**4 + 626*f**4 + 8*f**2.
-2*f*(4*f + 1)**2*(9*f - 2)**2
Let q(n) be the first derivative of -n**6/21 + 4*n**4/7 - 16*n**2/7 + 21. What is x in q(x) = 0?
-2, 0, 2
Let f(o) be the third derivative of -o**6/1140 + o**5/190 - o**4/114 - 14*o**2. Factor f(z).
-2*z*(z - 2)*(z - 1)/19
Determine v so that 5 + 10 + 3*v**2 - 6 - v - 11*v = 0.
1, 3
Let v be -4 - (-2 - (2 + 0)). Let i(k) be the second derivative of -1/18*k**3 - k + 1/60*k**5 + v*k**2 + 0*k**4 + 0. Factor i(d).
d*(d - 1)*(d + 1)/3
Let b = -48 + 51. Suppose -1/2*r**2 + 0*r + 1/2*r**4 + 0 + 1/2*r**b - 1/2*r**5 = 0. What is r?
-1, 0, 1
Let k be 32/18 - 6/(-27). Factor -4*c**k + 4 - 2*c + 0*c + 4*c**3 - 2*c.
4*(c - 1)**2*(c + 1)
Let y = 2266/5 + -453. Let 1/5*s**2 - 2/5*s + y*s**3 + 0 = 0. Calculate s.
-2, 0, 1
Let k(u) be the third derivative of -u**6/180 + u**5/90 - 3*u**2. Find w, given that k(w) = 0.
0, 1
Let m = -5 - -5. Factor 4 - 4*u + m - 1 - 2*u + 3*u**2.
3*(u - 1)**2
Let n(b) be the first derivative of 2*b**5/45 + b**4/6 - 4*b**2/9 - 8. Find c such that n(c) = 0.
-2, 0, 1
Let a(n) be the third derivative of n**4/8 - n**3/6 + 4*n**2. Let r be a(1). Factor -4/5 + 14/5*g**3 - 14/5*g + 4/5*g**r.
2*(g - 1)*(g + 1)*(7*g + 2)/5
Let w(h) be the second derivative of -h**6/120 + h**5/60 + h**4/24 - h**3/6 - h**2/2 - 3*h. Let u(d) be the first derivative of w(d). Factor u(f).
-(f - 1)**2*(f + 1)
Let f = 410920/483 - 22792/23. Let j = 424/3 + f. Factor -8/7*i + 2/7*i**2 + j.
2*(i - 2)**2/7
Let f(x) be the second derivative of x**4/30 - x**2/5 - 8*x. Factor f(n).
2*(n - 1)*(n + 1)/5
Let r(u) be the second derivative of -u**7/21 - 61*u**6/105 - 15*u**5/7 - 32*u**4/21 + 32*u**3/21 + 8*u. Suppose r(v) = 0. What is v?
-4, -1, 0, 2/7
Let m be (-2 + 12)/2 - 1. What is k in 5*k**3 - 2*k**5 - 3*k**m + 3 - 4 + 5*k**2 - 3*k - 1 = 0?
-2, -1, -1/2, 1
Let c(f) be the second derivative of -f**8/1680 + f**7/1260 + f**6/180 - f**5/60 - f**4/3 + f. Let i(d) be the third derivative of c(d). Factor i(s).
-2*(s - 1)*(s + 1)*(2*s - 1)
Let n be (-434)/(-155) + 2/(-5). Suppose -9/5*w**3 - 3/5*w**4 + 0*w**2 + 0 + n*w = 0. What is w?
-2, 0, 1
Suppose g + 4*t = -2, 14 = g + 3*g + 5*t. Let v be 14/g*(-2)/(-7). Solve -v + l + 2/3*l**2 = 0.
-2, 1/2
Let h be 3870/6930 + (-6)/22. Determine u so that -12/7*u + h*u**2 + 18/7 = 0.
3
Find l such that 2/17 - 16/17*l**2 + 4/17*l = 0.
-1/4, 1/2
Let r(l) be the second derivative of 0 + 0*l**2 + 1/84*l**7 + 0*l**4 + 0*l**3 + 1/40*l**6 - l + 1/80*l**5. Factor r(t).
t**3*(t + 1)*(2*t + 1)/4
Factor 4*v - 3*v - 3*v**2 + 4*v**2 - v**3 - v**4.
-v*(v - 1)*(v + 1)**2
Let c(s) be the third derivative of s**2 - 15/4*s**4 - 1/56*s**8 + 0*s + 0 + 9/2*s**3 + 1/5*s**6 - 1/10*s**7 + 11/10*s**5. Solve c(m) = 0 for m.
-3, 1/2, 1
Let c be (-3 - 1) + (-91)/(-21). Let s(t) be the first derivative of -c*t**4 - 1 + 2/9*t**3 + 0*t**2 + 0*t. Factor s(m).
-2*m**2*(2*m - 1)/3
Let t(a) be the third derivative of -a**5/20 + 5*a**4/4 + 15*a**2 - 2*a. Suppose t(s) = 0. What is s?
0, 10
Let z(s) be the first derivative of s**5/60 - s**4/36 - 4*s - 3. Let f(x) be the first derivative of z(x). Determine m so that f(m) = 0.
0, 1
Let s(y) be the third derivative of -y**6/600 + y**5/150 + y**2 + 20. Factor s(k).
-k**2*(k - 2)/5
Factor 3/5*v**2 + 3/5*v - 6/5.
3*(v - 1)*(v + 2)/5
Let d(x) = -8*x**3 + 15*x**2 - 24*x + 12. Let j(u) be the first derivative of -9*u**4/4 + 5*u**3 - 12*u**2 + 12*u + 5. Let v(o) = 6*d(o) - 5*j(o). Factor v(s).
-3*(s - 2)**2*(s - 1)
Let i(h) be the third derivative of h**8/252 - 2*h**7/105 + 4*h**5/45 - 7*h**2. Factor i(d).
4*d**2*(d - 2)**2*(d + 1)/3
Solve 11*v - 25*v + 3*v**2 + 14*v = 0.
0
Let r be 1 - -6*3/6. Let 2*l**5 + 10*l**2 + 2*l**5 + r*l + 6*l**2 + 24*l**3 + 16*l**4 = 0. What is l?
-1, 0
Let l be 3/((-3)/4) + 4. Let m(u) be the third derivative of -2/15*u**5 + 1/40*u**6 - 1/3*u**3 + l*u + u**2 + 0 + 7/24*u**4. What is q in m(q) = 0?
2/3, 1
Let y(z) be the first derivative of 2 + 0*z + 2/21*z**3 + 2/7*z**2. Find d, given that y(d) = 0.
-2, 0
Let t(j) be the second derivative of 0 + 1/42*j**4 + 0*j**2 - 1/7*j**3 + 6*j. Factor t(p).
2*p*(p - 3)/7
Let t = -335 - -338. Solve 3/2*k**5 - 1/2*k - k**t - 1/2 - 5/2*k**4 + 3*k**2 = 0.
-1, -1/3, 1
Let o(b) = b**5 + b**3 - b**2 + b. Let y(d) = -4*d**5 - 13*d**4 - 20*d**3 - 10*d**2 - 3*d. Let j(t) = -o(t) - y(t). Find f, given that j(f) = 0.
-2, -1, -1/3, 0
Let t = -7 - -10. Suppose 15 = 4*o + t. Factor 0 + 2/7*u**4 - 6/7*u**o - 2/7*u + 6/7*u**2.
2*u*(u - 1)**3/7
Suppose 2*a = 2*k + 16, -3*a + 6 + 0 = 3*k. Suppose -c - a*s = -19 + 6, -2*c = 4*s - 14. Let 0 - 1/3*g**c + 0*g + 1/3*g**5 + 0*g**4 + 0*g**2 = 0. Calculate g.
-1, 0, 1
Let f = -829 - -831. Factor -2/5*y**3 - 2/5*y**f + 2/5*y**4 + 0 + 2/5*y.
2*y*(y - 1)**2*(y + 1)/5
Let m(h) be the second derivative of -h**4/4 + 3*h**2/2 - 5*h. Factor m(a).
-3*(a - 1)*(a + 1)
Let a(r) be the second derivative of -r**3/3 - 2*r**2 + 3*r. Let o be a(-3). Factor -6*b**2 - 2*b - 9*b**3 - 5*b**4 + 2*b**o - 3*b**2 - b**5.
-b*(b + 1)**3*(b + 2)
Let r = 2331697 + -1191496715/511. Let s = r + -2/73. Solve -2/7*a**3 - 2/7 - 6/7*a - s*a**2 = 0 for a.
-1
Let v(h) be the first derivative of -h**4/34 - 2*h**3/51 - 7. Factor v(a).
-2*a**2*(a + 1)/17
Let o be 0 - (6/3 - 7). Let x be (-60)/(-9) + (-5)/(60/8). Find h, given that 4*h**4 + x*h + 28/3*h**3 + 32/3*h**2 + 4/3 + 2/3*h**o = 0.
-2, -1
Let o(p) = -p**3 + 18*p**2 + p - 18. Let g be o(18). Suppose z + 5*z = g. Solve z + 0*v + 1/4*v**3 - 1/4*v**2 = 0.
0, 1
Let w(s) be the third derivative of s**5/140 + s**4/56 - s**3/7 - 19*s**2. Suppose w(a) = 0. Calculate a.
-2, 1
Suppose 8 = 2*i - 38. Let g = i - 15. Factor -126*v**2 - g + 4*v + 68*v - 36*v**2.
-2*(9*v - 2)**2
Let g = -22 + 32. Suppose 6 = 4*k - g. Factor 18*d**2 - 1 + 9 - 3*d**k + 27*d**3 - 24*d**4 - 28*d.
-(d + 1)*(3*d - 2)**3
Factor 13*q**2 - 4*q + 2*q - 12*q**2.
q*(q - 2)
Let w(k) be the third derivative of -k**7/105 - k**6/30 - 11*k**2. What is b in w(b) = 0?
-2, 0
Determine n, given that 0*n + 2*n**2 + 2 - 3*n + 7*n + 0*n**2 = 0.
-1
Let y = -16 + 20. Let r(w) be the third derivative of 0 + 0*w**3 + 0*w - 2*w**2 - 1/120*w**6 + 1/60*w**5 + 0*w**y. Factor r(g).
-g**2*(g - 1)
Suppose -3/5*v**4 + 9/5*v**3 - 6/5*v**2 + 0 + 0*v = 0. What is v?
0, 1, 2
Factor 2/7*m + 0 - 2/7*m**3 + 0*m**2.
-2*m*(m - 1)*(m + 1)/7
Let d(s) = s**3 - 2 + 0*s**3 - 7 + 2*s - 6*s**2. Let b be d(6). Solve -1/3*u**2 + 0*u + 0 + 1/3*u**b = 0 for u.
0, 1
Let k be 4/18 - (-22)/63. Let a be -3*3/(-63)*2. Factor 2/7*w**3 + a*w + 0 + k*w**2.
2*w*(w + 1)**2/7
Factor -278/13*t**3 - 8/13 - 190/13*t**4 - 50/13*t**5 - 64/13*t - 194/13*t**2.
-2*(t + 1)**3*(5*t + 2)**2/13
Let w(s) be the second derivative of -s**7/630 - s**6/360 + s**5/180 + s**4/72 - 9*s**2/2 - 5*s. Let i(m) be the first derivative of w(m). Factor i(b).
-b*(b - 1)*(b + 1)**2/3
Let m(v) be the third derivative of 0 - v**2 + 0*v + 1/3*v**3 + 1/24*v**4 - 1/60*v**5. Suppose m(u) = 0. Calculate u.
-1, 2
Suppose -32 + 0 = 8*r. Let i be r/(-5) + (-27)/45. Solve -1/5*q**3 + 0 + 0*q - 2/5*q**4 + 0*q**2 - i*q**5 = 0 for q.
-1, 0
Let y = -76 + 229/3. Let m(v) be the first derivative of -v**5 + 0*v**2 - 1/4*v**4 - 1/2*v**6 - 4 + 0*v + y*v**3. Factor m(p).
-p**2*(p + 1)**2*(3*p 