 that o(k) = 0.
-1, 0, 1
Let u = 117 + -115. Suppose -2/7*m**3 + 0 + 4/7*m - 2/7*m**u = 0. Calculate m.
-2, 0, 1
Let y(h) be the first derivative of h**8/168 - h**7/105 - 3*h**2/2 + 3. Let w(b) be the second derivative of y(b). Find l, given that w(l) = 0.
0, 1
Suppose -3*f + 12 = 3*z, -1 - 7 = -4*z. Let -1/3*c**f + 2/3 + 1/3*c = 0. What is c?
-1, 2
Let s(c) be the second derivative of c**7/1260 + c**6/360 + c**4/4 - c. Let x(q) be the third derivative of s(q). Let x(w) = 0. What is w?
-1, 0
Let x(o) be the first derivative of -o**7/189 + o**6/27 - o**5/10 + 7*o**4/54 - 2*o**3/27 - 2*o - 2. Let a(s) be the first derivative of x(s). Factor a(h).
-2*h*(h - 2)*(h - 1)**3/9
Let i be -2 - -7 - (1 + 0). Factor 0*l**3 + l**2 + 4*l**5 - 4*l**i - 3*l**4 + 6*l**3 - 4*l**3.
l**2*(l - 1)**2*(4*l + 1)
Let s(t) be the third derivative of -t**6/180 - t**5/270 + t**4/36 + t**3/27 + 20*t**2. Let s(a) = 0. Calculate a.
-1, -1/3, 1
Let i be (-6)/12*(0 + -2). Let u be (3/(-6))/(i/(-6)). Suppose -4*b + u*b**2 - 2*b**2 - 2 - 3*b**2 = 0. What is b?
-1
Suppose 8 = -6*c + 20. Let s be 1 - (0 - (-3)/4). Factor -s*m**c + 1/2*m - 1/4.
-(m - 1)**2/4
Let g(w) be the second derivative of 2/21*w**7 + 4/5*w**5 - w**2 + 1/3*w**4 - 2/3*w**3 + 0 - 3*w + 7/15*w**6. Solve g(n) = 0.
-1, 1/2
Suppose 0*l + 24 = 3*l. Let r = -5 + l. Let -p**4 + 0*p**3 + p**3 + p**2 - 4*p + r*p = 0. Calculate p.
-1, 0, 1
Let z(d) be the third derivative of 0*d + 0 + 1/24*d**3 - 1/480*d**6 - 1/240*d**5 + 1/96*d**4 + 4*d**2. Suppose z(x) = 0. Calculate x.
-1, 1
Let u(o) be the first derivative of 3*o**5/5 - 3*o**4/4 - 5. Let u(b) = 0. Calculate b.
0, 1
Let h = -7 - -5. Let g be h/((0 - -1) + -7). Find x such that 1/3*x**2 - g*x**3 - 1/3*x**4 + 1/3*x + 0 = 0.
-1, 0, 1
Let o = 8259/14 - 1179/2. Let o*y + 0 - 5/7*y**2 = 0. Calculate y.
0, 3/5
Let p(f) = -13*f**2 + 2*f - 7. Let s(q) = 7*q**2 - q + 4. Suppose -w + 4*w - 18 = 0. Let k(b) = w*p(b) + 11*s(b). Factor k(i).
-(i - 2)*(i + 1)
Let b(t) be the first derivative of -t**5/30 + t**4/9 - t**3/9 + 2*t + 3. Let x(k) be the first derivative of b(k). Factor x(m).
-2*m*(m - 1)**2/3
Let o(f) = 30*f**3 + 82*f**2 + 24*f. Let y(u) = -15*u**2 - 10*u**3 - 14*u**2 - 8*u - u**2 + 3*u**2. Let g(b) = 3*o(b) + 10*y(b). Let g(i) = 0. Calculate i.
-2, -2/5, 0
Let v(j) be the first derivative of 14/39*j**3 + 4/13*j - 3 + 9/13*j**2. Factor v(p).
2*(p + 1)*(7*p + 2)/13
Let u(g) be the first derivative of g**6/14 + 24*g**5/35 + 75*g**4/28 + 38*g**3/7 + 6*g**2 + 24*g/7 + 7. Factor u(p).
3*(p + 1)**2*(p + 2)**3/7
Let c(k) = -2*k - 4. Let w be c(-2). Let q(x) be the second derivative of 3*x - 1/4*x**4 + 2/3*x**3 + w + 2*x**2. What is b in q(b) = 0?
-2/3, 2
Let z(n) = n**2 - n - 54. Let v be z(8). Factor 0 + 4/11*c + 2/11*c**3 - 6/11*c**v.
2*c*(c - 2)*(c - 1)/11
Let p(l) be the third derivative of -l**8/1008 - l**7/210 - l**6/180 + l**5/90 + l**4/24 + l**3/18 - 11*l**2. Factor p(q).
-(q - 1)*(q + 1)**4/3
Let d(h) be the first derivative of -2*h**6 + 8*h**5/5 + h**4 - 40. Find p, given that d(p) = 0.
-1/3, 0, 1
Let o be 1 + 3 + (2 - 1). Let n = 46 - 42. Factor -2*l - l**o + 2*l**3 - l**2 + l**3 + l**4 - 2*l**4 + 2*l**n.
-l*(l - 2)*(l - 1)*(l + 1)**2
Let w(k) = -k**3 - k**2 + 3*k + 2. Let b be w(-2). Solve -2*u**5 + b*u**5 + 4*u**3 + 0*u - 3*u + u = 0.
-1, 0, 1
Let n(x) be the second derivative of 9*x**8/1960 - x**6/70 - 2*x**5/105 - x**4/84 - x**3/6 - 3*x. Let m(o) be the second derivative of n(o). Solve m(f) = 0.
-1/3, 1
Let b(v) be the first derivative of v**6/10 + 3*v**5/10 - v**3 - 3*v**2/2 + v + 3. Let o(r) be the first derivative of b(r). Solve o(f) = 0.
-1, 1
Let k(r) = -34*r**3 + 83*r**2 + 47*r. Let b(z) = -11*z**3 + 28*z**2 + 16*z. Let y(l) = -11*b(l) + 4*k(l). Factor y(s).
-3*s*(s - 2)*(5*s + 2)
Let d be (-1)/(-5) - (-87)/15. Suppose d*s - 147*s**4 - 18*s - 96*s**2 - 248*s**3 + 17*s**3 = 0. Calculate s.
-1, -2/7, 0
Let p(n) be the first derivative of 3/14*n**4 + 0*n + 0*n**2 - 3 - 4/21*n**3. Factor p(z).
2*z**2*(3*z - 2)/7
Let c(m) be the first derivative of -m**9/6804 - m**8/2520 + m**6/1620 + m**3/3 - 3. Let q(j) be the third derivative of c(j). Factor q(p).
-2*p**2*(p + 1)**2*(2*p - 1)/9
Let u(h) be the third derivative of 0*h**4 + 0*h + h**2 + 0*h**3 + 0 + 5/112*h**8 + 1/120*h**5 + 19/480*h**6 + 59/840*h**7. Find z such that u(z) = 0.
-2/5, -1/3, -1/4, 0
Factor 0*l**2 + 0 - 6/5*l**3 - 3/5*l**5 - 9/5*l**4 + 0*l.
-3*l**3*(l + 1)*(l + 2)/5
Suppose -10 + 4 = 2*d + 3*x, -4*d - 3*x = 6. Let s(j) be the first derivative of d*j**2 + 0*j + 1/3*j**3 - 1 - 3/4*j**4. Factor s(r).
-r**2*(3*r - 1)
Suppose 0 - 16/3*h**3 - 4*h + 26/3*h**2 + 2/3*h**4 = 0. What is h?
0, 1, 6
Let f(g) = 2*g + 28. Let a be f(-13). Factor 8/5*i + a*i**3 + 2/5*i**4 + 0 + 16/5*i**2.
2*i*(i + 1)*(i + 2)**2/5
Let g(v) = 10*v**5 - v**4 - 10*v**3 - 10*v**2 - 11*v. Let u(y) = 2*y**5 - 2*y**3 - 2*y**2 - 2*y. Let l(t) = -2*g(t) + 11*u(t). Factor l(c).
2*c**2*(c - 1)*(c + 1)**2
Let c(p) be the third derivative of 0 - 2*p**2 + 0*p + 1/1155*p**7 + 1/165*p**5 + 0*p**3 + 1/132*p**6 + 0*p**4 - 1/924*p**8. What is g in c(g) = 0?
-1, -1/2, 0, 2
Let d(k) be the first derivative of -3*k**5/5 - 3*k**4/4 + k**3 + 3*k**2/2 + 8. Let d(c) = 0. What is c?
-1, 0, 1
Let k = 56 - 24. Let v = 172/5 - k. Suppose -4/5*u**2 - 9/5 - v*u = 0. What is u?
-3/2
Let j be 2/5*(-5)/8*-2. Factor -3/4*z + 1/4 + j*z**2.
(z - 1)*(2*z - 1)/4
Let j(q) be the second derivative of q**6/60 + q**5/50 - q**4/30 + 2*q**2 + 2*q. Let f(u) be the first derivative of j(u). Factor f(t).
2*t*(t + 1)*(5*t - 2)/5
Let 0*y + 0 + 0*y**2 + 1/3*y**4 - 2/3*y**3 = 0. Calculate y.
0, 2
Let a(u) be the third derivative of 1/15*u**4 + 4*u**2 + 0*u - 4/15*u**3 + 0 - 1/150*u**5. Factor a(q).
-2*(q - 2)**2/5
Let l(c) be the first derivative of -c**6/300 + c**4/60 - 9*c**2/2 + 10. Let s(n) be the second derivative of l(n). Factor s(j).
-2*j*(j - 1)*(j + 1)/5
Suppose -3*b + 3 = -9. Factor -26*v - 3*v**2 + 22*v**4 + 70*v**3 + 27*v**4 + b + 6*v.
(v + 1)**2*(7*v - 2)**2
Suppose -2*f - 5*k + 24 = 0, 4*k - 9 = -2*f + 11. Suppose -3*a - 1 = 4*z, -f*z - 2*z - 2*a + 2 = 0. Let -2/7*r**z - 2/7*r**3 + 2/7*r + 2/7 = 0. Calculate r.
-1, 1
Let -2*r**2 - 4*r - 5*r + r - 26*r**2 = 0. What is r?
-2/7, 0
Let s(n) be the second derivative of n**6/7 + 11*n**5/70 - 4*n**4/21 - 4*n**3/21 - 15*n + 3. Suppose s(f) = 0. Calculate f.
-1, -2/5, 0, 2/3
Let p be (-4)/((-12)/15) + -2. Factor -3/2*s**p + 3/2*s - s**2 + 1.
-(s - 1)*(s + 1)*(3*s + 2)/2
Suppose 4*v + 12 = 4*f, 0*f + 3*f + 3*v + 9 = 0. Let t be 0 - f - (0 + -5). Factor 0*i**4 - 4/7*i**3 + 0*i**2 + 0 + 2/7*i + 2/7*i**t.
2*i*(i - 1)**2*(i + 1)**2/7
Find s such that -12/7*s**2 + 8/7*s + 0 + 4/7*s**3 = 0.
0, 1, 2
Let d(k) be the second derivative of k**4/48 - k**3/8 + 3*k. Factor d(z).
z*(z - 3)/4
Let w be (-252)/(-594) + 1/(-11). Suppose 0 - 1/3*k + w*k**2 = 0. Calculate k.
0, 1
Let n be 52/6*6/4. Suppose -8*i - 9 = -11*i. Let d + 4*d**3 - 11*d - 6*d**i + n + 8*d**2 - 9 = 0. What is d?
1, 2
Let l(y) be the third derivative of 0*y + 3/2*y**4 + 2/3*y**3 + 27/20*y**5 + 0 - 3*y**2. Factor l(x).
(9*x + 2)**2
Let z(f) be the third derivative of 0*f**3 + 1/5*f**6 + 0*f + 2/3*f**4 - 4/105*f**7 - f**2 + 0 - 8/15*f**5 + 1/336*f**8. Solve z(u) = 0.
0, 2
Let l(h) = h**2 - 2. Let n be l(-2). Let z(p) be the second derivative of 1/12*p**4 + 1/2*p**n + 0 + 1/3*p**3 - 2*p. What is j in z(j) = 0?
-1
Suppose -m + 13 = o, 4*m = 2 + 2. Let l be (-7)/(-12) - 3/o. Find v such that l*v + v**3 + 0 - v**2 - 1/3*v**4 = 0.
0, 1
Let w(t) be the second derivative of -t**5/8 - t**4/24 + 5*t**3/12 + t**2/4 + 37*t. Factor w(z).
-(z - 1)*(z + 1)*(5*z + 1)/2
Factor -2/5*b - 2/5*b**3 - 4/5*b**2 + 0.
-2*b*(b + 1)**2/5
Solve -4/3*p**4 - 14*p**2 - 10/3 + 34/3*p + 22/3*p**3 = 0.
1, 5/2
Let j(n) be the third derivative of n**6/84 - 2*n**5/35 - 11*n**4/84 + 2*n**3/7 + 2*n**2 + n. Suppose j(d) = 0. Calculate d.
-1, 2/5, 3
Determine t so that 6*t**3 - 2*t**5 + 663*t**2 - 663*t**2 + 4*t**4 = 0.
-1, 0, 3
Let g(v) be the third derivative of -v**8/2352 - v**7/735 + v**5/210 + v**4/168 + 2*v**2. Determine a, given that g(a) = 0.
-1, 0, 1
Let c(q) be the second derivative of -q**6/90 - q**5/10 - 30*q. Solve c(x) = 0 for x.
-6, 0
Let y be (-18)/12*4/(-3). Suppose 8*d - 7*d - y = 0. Solve -1/4*