 Let i be d(5). Find o, given that o + o**3 - i*o**3 + 0*o**3 + o**2 - 1 = 0.
-1, 1
Let u(b) be the third derivative of -7*b**2 + 0*b + 0*b**4 + 1/80*b**6 + 1/224*b**8 + 0*b**5 + 0*b**3 + 0 - 1/70*b**7. Suppose u(y) = 0. Calculate y.
0, 1
Let j(u) be the first derivative of 1/8*u**4 + 1/2*u**3 + 0*u - 1 + 1/2*u**2. Determine l so that j(l) = 0.
-2, -1, 0
Let f be (33/(-22))/((-6)/16). Suppose -3 + 3 + 2*n**f - 207*n**2 + 205*n**2 = 0. What is n?
-1, 0, 1
Let p(i) be the second derivative of -i**5/20 + i**3/2 + i**2 - 9*i. Factor p(o).
-(o - 2)*(o + 1)**2
Factor -2/9*s**3 + 2/9*s**2 + 0 + 0*s.
-2*s**2*(s - 1)/9
Let a(d) be the first derivative of 1/1440*d**6 + 0*d**4 - 2/3*d**3 + 0*d + 0*d**2 + 1/480*d**5 + 2. Let p(j) be the third derivative of a(j). Solve p(q) = 0.
-1, 0
Suppose 3*w = 2*f - 3, -2*w - 3*f - 24 = 3*w. Let n be (0/w + 0)*-1. Factor -21/2*u**4 + n + 0*u - 3*u**2 - 27/2*u**3.
-3*u**2*(u + 1)*(7*u + 2)/2
Suppose -z - 2*t = -4, 5*t + 1 + 4 = 5*z. What is s in 0*s - 4/5*s**2 + z*s**4 - 6/5*s**3 + 0 = 0?
-2/5, 0, 1
Let j(o) be the third derivative of o**5/20 + o**4/4 + 2*o**2 - 4*o. Let j(z) = 0. Calculate z.
-2, 0
Let v = -8614/11 - -784. Solve -10/11*w**4 + 4/11*w**3 + 0 - 4/11*w + v*w**2 = 0.
-1, 0, 2/5, 1
Factor 180/11*p**2 + 6/11*p**4 + 54/11 + 216/11*p + 56/11*p**3.
2*(p + 3)**3*(3*p + 1)/11
Let a(m) be the third derivative of -1/1512*m**8 + 0 + 1/108*m**4 + 2/945*m**7 + 0*m**3 + 0*m + 2*m**2 - 1/135*m**5 + 0*m**6. Determine h, given that a(h) = 0.
-1, 0, 1
Let y be (1/4)/((-300)/1198) - -1. Let u(h) be the third derivative of 1/15*h**3 + y*h**6 - 1/120*h**4 - 4*h**2 + 0 - 1/150*h**5 + 0*h. Let u(o) = 0. What is o?
-1, 1, 2
Suppose -h = 62*i - 59*i + 4, 3*h + 5*i + 4 = 0. Let u be (-2)/(-3) - (-4)/(-6). Factor -1/2*o**h + u + o.
-o*(o - 2)/2
Let m(c) be the first derivative of c**6/300 - c**4/60 - 2*c**2 + 3. Let b(p) be the second derivative of m(p). Factor b(d).
2*d*(d - 1)*(d + 1)/5
Suppose -3*f + 13 = -2*f. Factor -w**3 - 20*w**2 + 27*w**2 - 2*w**3 - f*w**2.
-3*w**2*(w + 2)
Let x(y) = -7*y**4 - 4*y**3 + 9*y**2 + y - 8. Let g(n) = 34*n**4 + 20*n**3 - 46*n**2 - 6*n + 40. Let p(d) = -3*g(d) - 14*x(d). What is k in p(k) = 0?
-2, -1, 1
Let y(l) be the first derivative of 2*l**3/33 - 6*l**2/11 + 18*l/11 + 4. Factor y(z).
2*(z - 3)**2/11
Let s(v) be the first derivative of 4/9*v**2 + 2 - 7/30*v**5 - 8/9*v**3 - 2*v + 41/54*v**4. Let b(i) be the first derivative of s(i). Let b(w) = 0. What is w?
2/7, 2/3, 1
Let k = 1008 - 1008. Factor k*w**2 + 1/5*w**3 + 0 - 1/5*w.
w*(w - 1)*(w + 1)/5
Let h(l) be the third derivative of -l**8/2688 - l**7/560 - l**6/480 + l**5/240 + l**4/64 + l**3/48 + 3*l**2. Factor h(o).
-(o - 1)*(o + 1)**4/8
Let g(c) be the third derivative of -c**5/60 + c**4/3 - 8*c**3/3 + 18*c**2. Factor g(l).
-(l - 4)**2
Let k(l) = 12*l**2 - 2*l + 18. Let x(y) = y**2 - y + 1. Let w(o) = k(o) - 10*x(o). Factor w(f).
2*(f + 2)**2
Let n(f) be the second derivative of f**6/200 + f**5/100 + 2*f**2 - 4*f. Let y(q) be the first derivative of n(q). Find z, given that y(z) = 0.
-1, 0
Let r(i) be the third derivative of i**7/1680 + i**6/480 - i**5/160 - i**4/24 - i**3/12 - 3*i**2. Factor r(f).
(f - 2)*(f + 1)**2*(f + 2)/8
Factor 0 - 4/9*g**2 + 2/9*g**3 + 2/9*g.
2*g*(g - 1)**2/9
Let t be (-3)/18 + (-5)/(-6). Let v(y) be the first derivative of -t*y**2 + 0*y - 2/9*y**3 + 2. Factor v(q).
-2*q*(q + 2)/3
Determine w, given that 4*w**2 - w + 18*w - w = 0.
-4, 0
Let q be (-1)/((-2)/12) + (-33)/11. Let 0*f + 0 - 1/5*f**2 + 2/5*f**q - 1/5*f**4 = 0. What is f?
0, 1
Let r(f) = -11*f**4 + 12*f**3 - 5*f**2 - 12*f + 11. Let t(b) = 39*b**4 - 42*b**3 + 18*b**2 + 42*b - 39. Let g(d) = -18*r(d) - 5*t(d). Factor g(o).
3*(o - 1)**3*(o + 1)
Let x(w) be the second derivative of 0*w**5 - 1/18*w**4 + 0 - 9*w + 0*w**2 + 0*w**3 + 1/45*w**6. Determine a so that x(a) = 0.
-1, 0, 1
Determine s so that -1/5*s**2 - 1/5*s**4 + 2/5*s**3 + 0 + 0*s = 0.
0, 1
Suppose 3/2*f**3 - f**2 + 0 + 0*f - 1/2*f**4 = 0. What is f?
0, 1, 2
Let a = 15/32 + -101/352. Find p such that 0 - 2/11*p**4 + 0*p + a*p**3 - 2/11*p**5 + 2/11*p**2 = 0.
-1, 0, 1
Factor 8*p - 2*p**2 + 4*p**2 + 7*p**2 - 4*p**4 + 3*p**2.
-4*p*(p - 2)*(p + 1)**2
Let r(n) be the second derivative of n**8/1176 + n**7/735 - n**2/2 + 2*n. Let v(b) be the first derivative of r(b). Let v(z) = 0. Calculate z.
-1, 0
Let l be 84/(-18)*3/(-2). Factor -8*w**2 + 2*w - 5*w**3 + 15*w**3 + 3*w**4 - l*w**4.
-2*w*(w - 1)**2*(2*w - 1)
Let q(r) = -1. Let d(i) = -5*i**2 + 160*i - 1276. Let w(u) = d(u) + 4*q(u). Factor w(c).
-5*(c - 16)**2
Let r(d) be the first derivative of -d**7/168 + d**6/60 - d**5/80 - d + 3. Let z(a) be the first derivative of r(a). Determine h, given that z(h) = 0.
0, 1
Let v(k) = -k + 1. Let q(h) = -5*h**2 + 3*h + 2. Let r(l) = q(l) - 2*v(l). Suppose r(m) = 0. Calculate m.
0, 1
Let b(i) be the first derivative of i**9/3024 - i**8/1680 - i**7/840 + i**6/360 + 4*i**3/3 + 4. Let k(a) be the third derivative of b(a). Factor k(y).
y**2*(y - 1)**2*(y + 1)
Let j(d) be the third derivative of -d**7/735 - 2*d**6/105 + 19*d**5/210 - 5*d**4/42 + 52*d**2. Suppose j(g) = 0. Calculate g.
-10, 0, 1
Let c be ((-9)/(-27))/(1/9). Let g(f) be the second derivative of -3/40*f**5 + 0 + 1/8*f**4 + f + 0*f**c + 0*f**2. Determine u, given that g(u) = 0.
0, 1
Let h = 39/2 + -17. Let k(y) be the first derivative of y**3 - h*y**2 + 2 + 2*y. Factor k(x).
(x - 1)*(3*x - 2)
Let t(z) be the third derivative of -1/270*z**5 + 1/27*z**3 + 3*z**2 - 1/540*z**6 + 0 + 1/108*z**4 + 0*z. Factor t(o).
-2*(o - 1)*(o + 1)**2/9
Let f(y) = -y**3 - 4*y**2 + 15*y + 14. Let t(j) = -2*j**3 - 3*j**2 + 15*j + 13. Let p(u) = -3*f(u) + 4*t(u). Solve p(z) = 0 for z.
-1, 2
Let o = -581/3 + 196. Let i be 12/42*(-7)/(-3). Factor o*h**2 + 5/3*h - i.
(h + 1)*(7*h - 2)/3
Let q(u) be the first derivative of 0*u + 5 - 2/3*u**3 + u**2. Factor q(v).
-2*v*(v - 1)
Let s(u) be the first derivative of -u**4/4 - u**3/2 + 3*u**2 + 7*u + 4. Let n(r) be the first derivative of s(r). Factor n(x).
-3*(x - 1)*(x + 2)
Let h(a) be the second derivative of a**5/90 + 5*a**4/54 - a**3/27 - 5*a**2/9 - 11*a - 2. Factor h(c).
2*(c - 1)*(c + 1)*(c + 5)/9
Let q(z) be the third derivative of 0*z - 1/8*z**4 + 19/20*z**5 + 19/70*z**7 + 0 - 4*z**2 - 1/28*z**8 - z**3 - 31/40*z**6. Let q(k) = 0. Calculate k.
-1/4, 1, 2
Let u = 18/5 - 152/45. Factor -u*m**3 + 0 + 0*m + 2/9*m**2.
-2*m**2*(m - 1)/9
Suppose -2*s + 4*c - 2 = 0, -s = -c + 2 - 6. Let w = -13 + 22. Solve -w*l + 7*l - 5*l + l**2 + s + l = 0.
3
Let g(j) be the third derivative of -j**8/6720 - j**7/1680 - j**3 - 4*j**2. Let z(m) be the first derivative of g(m). Factor z(v).
-v**3*(v + 2)/4
Suppose -4*r - 3 = -5*r. Determine k so that 6*k**4 + k**5 + k**5 + 6*k**r - 2*k**2 + 4*k**2 = 0.
-1, 0
Let x = 56 - 51. Let t(j) be the third derivative of -1/300*j**x - 1/120*j**4 + 0*j**3 + j**2 + 0*j + 0. Factor t(z).
-z*(z + 1)/5
Suppose -p = 16 - 18. Find r, given that 2*r**3 + 7*r**p - 5*r**3 - 7*r**2 = 0.
0
Let r(b) = -15*b - 30. Let u(f) = -98 - f**2 - 26*f + 9 - 20*f. Let j(o) = 8*r(o) - 3*u(o). Solve j(n) = 0.
-3
Suppose -3*q**2 + 3*q**2 + 2*q**5 - 2*q**3 - 2*q**4 + 2*q**2 = 0. What is q?
-1, 0, 1
Factor -4/11*t**2 + 2/11*t**5 - 2/11*t + 0 + 4/11*t**4 + 0*t**3.
2*t*(t - 1)*(t + 1)**3/11
Let d(s) be the third derivative of s**5/30 + s**4/12 - 7*s**2. What is w in d(w) = 0?
-1, 0
Let u be (-1)/(1/1) - -4. Suppose -4*h**2 - h + 2*h**3 - u*h + 5*h + h = 0. Calculate h.
0, 1
Let u = -27 - -31. Suppose -4 = -u*d + 2*d. Suppose 2*r**d + 2*r**3 + 2/3*r**4 + 0 + 2/3*r = 0. What is r?
-1, 0
Let -1/3*y**3 - 5/6*y + 0 + 11/6*y**2 = 0. What is y?
0, 1/2, 5
Let z(p) = -p**3 - 4*p**2 - p - 2. Let b be (-363)/88 + (-1)/(-8). Let h be z(b). Factor 0 + 2/5*n**3 - 4/5*n**h + 2/5*n.
2*n*(n - 1)**2/5
Suppose 0*m + 1/5*m**2 + 1/5*m**3 + 0 = 0. Calculate m.
-1, 0
Let v be (-21)/63*(-7 - 2). Determine a so that -1/2*a**v + 1/2*a + a**2 - 1 = 0.
-1, 1, 2
Let v = -47 - -49. Let i(f) be the third derivative of 0*f + 2*f**v - 1/60*f**6 - 1/6*f**4 + 0 + 0*f**3 + 1/10*f**5. Suppose i(k) = 0. Calculate k.
0, 1, 2
What is v in -25/7*v - 10/7*v**2 + 0 - 1/7*v**3 = 0?
-5, 0
Let z = 69/34 + -26/17. Suppose 1/4*x**5 - 1/2*x**3 - x**2 + 1/2*x**4 + 1/4*x + z = 0. Calculate x.
-2, -1, 1
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