*6/420 - s**5/70 - 7*s**2. Suppose f(o) = 0. Calculate o.
0, 3
Let h(q) be the first derivative of q**5/120 - q**4/24 - q**3/4 + 3*q**2/2 - 8. Let p(i) be the second derivative of h(i). Factor p(x).
(x - 3)*(x + 1)/2
Let s(d) be the third derivative of -d**2 - d**3 + 0 - 9/8*d**4 - 7/20*d**5 + 0*d. Solve s(n) = 0.
-1, -2/7
Let r(g) be the second derivative of g**5/190 + g**4/114 - 12*g. Factor r(p).
2*p**2*(p + 1)/19
Let k(d) = d + 2. Let b be k(0). Let i(n) be the second derivative of 2/9*n**4 - 1/5*n**5 + 4/45*n**6 - 1/63*n**7 + 0*n**b + 0 - 2*n - 1/9*n**3. Factor i(o).
-2*o*(o - 1)**4/3
Let i(d) be the third derivative of -7*d**6/180 + d**5/12 + d**4/6 + d**3/3 + 3*d**2. Let x(q) be the first derivative of i(q). Suppose x(j) = 0. Calculate j.
-2/7, 1
Let g(t) be the second derivative of -t**5/5 - 2*t**4/3 + 2*t**3/3 + 4*t**2 - 6*t. Suppose g(m) = 0. Calculate m.
-2, -1, 1
Let m(k) be the first derivative of -4*k**5/5 - k**4 + 20*k**3/3 - 6*k**2 - 21. Factor m(r).
-4*r*(r - 1)**2*(r + 3)
Let t(q) be the first derivative of 0*q**2 + 1/6*q**3 + 0*q + 1. Factor t(f).
f**2/2
Let o(g) be the second derivative of -g**6/10 - 3*g**5/5 + 3*g**4/4 + 9*g**3 - 43*g. Factor o(u).
-3*u*(u - 2)*(u + 3)**2
Factor -13 + 4*j**2 + 13 + 16*j**3 + 2*j**5 + 4*j**2 + 10*j**4.
2*j**2*(j + 1)*(j + 2)**2
Let t be (-39)/(-12) - (-5)/(-20). Solve -9*i**t + 7*i**3 + 8*i**3 + 2*i + 8*i**2 = 0 for i.
-1, -1/3, 0
Suppose 0*s**2 + 3 - 5*s**2 + s**2 + s**2 = 0. Calculate s.
-1, 1
Let w(v) = 21*v**2 + v - 3. Let o be w(-2). Let c = o + -393/5. Solve c*j**3 - 2/5*j**2 + 2/5 - 2/5*j = 0.
-1, 1
Let t(x) be the first derivative of 3*x**4/4 + 3*x**3 - 3*x**2/2 - 9*x - 4. Solve t(m) = 0 for m.
-3, -1, 1
Suppose 31 = -o + 33. Factor 2/9*d**o + 4/9*d + 2/9.
2*(d + 1)**2/9
Let i(n) be the first derivative of 2*n + n**2 - 1/2*n**4 + 3 - 2/3*n**3. Solve i(q) = 0 for q.
-1, 1
Let u be 14 + -14 + (-2)/6*-2. Find b, given that 4/3*b**3 - u*b + 2/3*b**4 + 2/3 - 4/3*b**2 - 2/3*b**5 = 0.
-1, 1
Let f be (-28)/56*(-8)/6. Factor 0 + f*n - 4/3*n**2 + 2/3*n**3.
2*n*(n - 1)**2/3
Let t(r) = r**2 + 5*r + 6. Let l be t(-4). Suppose q + 1 = l*d + 8, -2*q = -2*d - 10. Factor q - 1 + 2*o**3 - 2*o**2 + 4*o - 6*o.
2*(o - 1)**2*(o + 1)
Let v(m) = m**2 + 3*m - 1. Let t be v(-4). Suppose 50 + 16 = 33*x. Let 8/5*n + 2/5*n**4 + 12/5*n**x + 8/5*n**t + 2/5 = 0. Calculate n.
-1
Determine y, given that y**2 - 3*y**4 - 4*y + 5*y**4 - 7*y**2 = 0.
-1, 0, 2
Let x(b) be the third derivative of 7*b**7/120 - 7*b**6/120 - 3*b**5/16 + 7*b**4/24 - b**3/6 - 13*b**2. Factor x(h).
(h - 1)*(h + 1)*(7*h - 2)**2/4
Let z be (64/24)/(76/6). Let v = 11/38 + z. Suppose 0 - v*l - 1/4*l**2 = 0. What is l?
-2, 0
Let j(i) be the second derivative of 0 + 0*i**3 + 0*i**4 + 1/120*i**6 + 4*i + 1/80*i**5 + 0*i**2. Factor j(g).
g**3*(g + 1)/4
Suppose -4*f = -n + 11, 4*f - 4 = -4*n - 0*n. Factor -1/2*a**2 + 0 - 1/4*a**n + 0*a.
-a**2*(a + 2)/4
Let i be 9/4 + (-36)/(-48). Let o(w) be the second derivative of w + 1/10*w**5 - 1/3*w**i - 1/6*w**4 + w**2 + 0. Find t such that o(t) = 0.
-1, 1
Let c = 896/745 - 2/745. Factor c*z + 4/5 + 2/5*z**2.
2*(z + 1)*(z + 2)/5
Let j(i) be the third derivative of -1/270*i**5 - 1/60*i**6 + 0 + 1/54*i**4 + 0*i - 5/1512*i**8 - i**2 + 13/945*i**7 + 0*i**3. Factor j(b).
-2*b*(b - 1)**3*(5*b + 2)/9
Let h be 24/10*5/2. Let s(x) = 5*x**2 + 6*x - 2. Let t(b) = -5*b**2 - 6*b + 1. Let k(n) = h*t(n) + 4*s(n). Factor k(y).
-2*(y + 1)*(5*y + 1)
Let i(l) be the third derivative of l**5/210 - 2*l**4/21 + 16*l**3/21 - 9*l**2. Determine t, given that i(t) = 0.
4
Suppose -2*u - 10 = -4*u. Determine t so that 1 - 2*t**2 + 4*t + 0*t**2 - u*t = 0.
-1, 1/2
Let t = -240 - -241. Factor 19*u + t + 361/4*u**2.
(19*u + 2)**2/4
Let c be 0 - (-1 - 2) - -1. Suppose -2 = c*u - u + 2*o, 4*o + 10 = -3*u. Factor -36*x**u - 3*x**5 + 36*x**2.
-3*x**5
Let -3/5*r + 0 + 7/5*r**2 - 4/5*r**3 = 0. Calculate r.
0, 3/4, 1
Suppose 6*x - 2 - 28 = 0. Let a(z) be the third derivative of -1/10*z**x - 2*z**2 + 0*z - 5/12*z**4 - 2/3*z**3 + 0. Solve a(u) = 0.
-1, -2/3
Let b(r) = -r**3 - 30*r**2 - 26*r + 91. Let a be b(-29). Suppose 0 + 6/5*i - 3/5*i**a + 9/5*i**2 + 0*i**3 = 0. Calculate i.
-1, 0, 2
Let j = -2/21 + 3/7. Suppose -h - h = -4. Solve 0 + 0*t - j*t**h - 2/3*t**3 - 1/3*t**4 = 0 for t.
-1, 0
Let t(i) be the second derivative of i**5/90 + 2*i**4/27 + 5*i**3/27 + 2*i**2/9 + 3*i. Factor t(c).
2*(c + 1)**2*(c + 2)/9
Let o(q) be the first derivative of -q**5/100 + q**4/30 + q**3/10 + 6*q + 7. Let a(m) be the first derivative of o(m). Factor a(r).
-r*(r - 3)*(r + 1)/5
Suppose s = -4, 0*q + 5*s + 22 = q. Suppose 2 = -f + q*f. Suppose 6*t**4 + 2*t**4 + 2*t**5 - f*t**4 + 3*t**2 - t**2 + 6*t**3 = 0. What is t?
-1, 0
Let k(x) be the third derivative of -1/30*x**5 + 7*x**2 + 0*x + 0 + 0*x**3 + 1/12*x**4. Find y such that k(y) = 0.
0, 1
Let a(z) be the first derivative of -6 - 1/6*z**2 + 0*z**3 + 1/12*z**4 + 0*z. Find o, given that a(o) = 0.
-1, 0, 1
Suppose -7 = -f + m - 19, -5*f - 2*m = 67. Let p = 17 + f. Factor 0*s + 2/3*s**3 + 0 - 2/9*s**2 + 8/9*s**p.
2*s**2*(s + 1)*(4*s - 1)/9
Factor r**3 + 0 + 1/5*r**5 + 4/5*r**4 + 2/5*r**2 + 0*r.
r**2*(r + 1)**2*(r + 2)/5
Let s(v) be the third derivative of v**5/12 - 10*v**3/3 - 3*v**2. Find b such that s(b) = 0.
-2, 2
Let p(j) = j - 19. Let c be p(19). Let h(u) be the second derivative of 0*u**2 - 1/20*u**5 + 0*u**3 + c + 3*u - 1/12*u**4. Factor h(w).
-w**2*(w + 1)
Let v(m) be the first derivative of -m**4/12 + 16*m**3/27 - 5*m**2/6 - 2*m + 15. Factor v(j).
-(j - 3)**2*(3*j + 2)/9
Let w(i) be the third derivative of -i**5/15 + 11*i**4/24 + i**3/2 - 16*i**2. Determine v so that w(v) = 0.
-1/4, 3
Let j(w) = 2*w**2 - 44*w - 50. Let v(n) = -7*n**2 + 176*n + 201. Let m(k) = -9*j(k) - 2*v(k). Solve m(a) = 0 for a.
-1, 12
Let 9*m**2 - 12*m**3 - 17*m**2 - 5*m**4 + m**4 = 0. What is m?
-2, -1, 0
Let t(l) be the second derivative of l**6/60 - 7*l**2/2 - 4*l. Let w(x) be the first derivative of t(x). Let w(q) = 0. Calculate q.
0
Let n(p) be the second derivative of -6*p + 0*p**2 + 1/16*p**4 + 0*p**3 + 0. Factor n(t).
3*t**2/4
Let o(p) be the first derivative of -1/4*p**3 - 3/16*p**4 + 0*p + 2 + 0*p**2. What is x in o(x) = 0?
-1, 0
Let w(z) = z + 1. Let b(g) = -2*g**2 + 8*g + 6. Let k(i) = -b(i) + 6*w(i). What is x in k(x) = 0?
0, 1
Let r = -4/3 + 2. Factor 2/3*q**2 + 0*q + r*q**3 + 0.
2*q**2*(q + 1)/3
Solve -4*l**2 - l**3 + 5*l**2 - 2*l**2 = 0.
-1, 0
Suppose 4*z - 23 + 3 = 0. Let y(i) be the third derivative of 0*i**4 + 0*i**3 + 1/1008*i**8 + 0*i + 0*i**6 + 0*i**z + 0*i**7 + 0 + i**2. Factor y(n).
n**5/3
Let g = -13 + 17. Factor 5/4*c**2 + 1/4*c + 0 + 3/4*c**g + 7/4*c**3.
c*(c + 1)**2*(3*c + 1)/4
Let w(q) = -q**3 - q + 4. Let r be w(0). Suppose m - r = -2. What is o in -10/3*o**m - 2*o - 2/3*o**4 - 22/9*o**3 - 4/9 = 0?
-1, -2/3
Let j be (-1429)/12 + (-6)/36. Let t = j - -120. Determine k, given that 0 + t*k**2 + 3/4*k = 0.
-1, 0
Factor 23*c + 44*c**2 + 8 - 18*c**2 + 12*c**3 + 2*c**4 + 18*c - 17*c.
2*(c + 1)**2*(c + 2)**2
Let k(s) = s**3 + 5*s**2 + 2*s - 4. Let r be k(-4). Suppose 2*z**4 - 11 + 11 - 2*z**2 + 2*z - 2*z**3 + 0*z**r = 0. Calculate z.
-1, 0, 1
Let f(l) be the third derivative of -l**7/735 + l**6/420 + 7*l**2. Factor f(w).
-2*w**3*(w - 1)/7
Let j be (-8)/10*51/(-34). What is z in 12/5 + j*z**3 + 3/5*z**4 - 9/5*z**2 - 12/5*z = 0?
-2, 1
Determine h so that -2*h**4 - 4*h**5 - 40*h**2 + 17*h**3 + 7*h**3 - 36 - 84*h + 14*h**4 = 0.
-1, 3
Let g(a) be the third derivative of a**6/120 - a**5/10 + 3*a**4/8 - 2*a**3/3 - 2*a**2. Let z(s) be the first derivative of g(s). Let z(v) = 0. Calculate v.
1, 3
Let r(w) be the second derivative of -7/24*w**4 + 7/60*w**6 + 0*w**2 - 3*w + 0 + 1/20*w**5 - 1/6*w**3. Factor r(o).
o*(o - 1)*(o + 1)*(7*o + 2)/2
Let 3/5*v**5 + 12/5*v + 0 + 36/5*v**2 + 18/5*v**4 + 39/5*v**3 = 0. What is v?
-2, -1, 0
Let j = 0 - -3. Suppose 5*y**2 + 2*y**j - 4*y**2 - 3*y**3 - 2*y**2 = 0. Calculate y.
-1, 0
Let t(i) be the third derivative of 1/24*i**8 + 3*i**2 + 0 - 1/12*i**6 - 3/35*i**7 + 3/10*i**5 - 1/6*i**4 + 0*i**3 + 0*i. Solve t(a) = 0.
-1, 0, 2/7, 1
Factor 9/5*j + 6/5 + 3/5*j**2.
3*(j + 1)*(j + 2)/5
Let g(r) = r**3 - 11*r**2 + 9*r + 10. Let n be g(10). Factor 0*z - 2*z + 4*z**2 - 3*z**3 + n*z + z**3.
-2*z*(z - 1)**2