erivative of -y**5/60 - y**4/8 - 2*y**2. Solve m(v) = 0 for v.
-3, 0
Suppose 0*x + x = 0. Let t(a) be the third derivative of 0 + 0*a**3 + x*a + 1/60*a**6 + 1/12*a**4 - 1/15*a**5 - 3*a**2. Factor t(j).
2*j*(j - 1)**2
Let q(m) = -m + 4. Let u(r) = -r**2 - 2*r + 5. Let k(d) = 4*q(d) - 3*u(d). Let c(z) = 16*z**2 + 10*z + 5. Let o(l) = -4*c(l) + 22*k(l). Solve o(s) = 0.
-1
Let n(f) be the first derivative of -f**3/6 + 6. Factor n(s).
-s**2/2
Let v = -1186/9 + 132. Factor 0 - 4/9*p - v*p**2.
-2*p*(p + 2)/9
Let g(b) = 4*b**5 - 2*b**3 - 3*b**2 + b + 3. Let j(x) = 7*x**5 - 4*x**3 - 5*x**2 + 2*x + 5. Let n(i) = -10*g(i) + 6*j(i). What is y in n(y) = 0?
-1, 0, 1
Let h(m) be the second derivative of 7*m - 1/56*m**7 + 0*m**2 - 1/40*m**6 + 1/16*m**4 + 3/80*m**5 + 0*m**3 + 0. What is a in h(a) = 0?
-1, 0, 1
Let b(q) be the third derivative of q**5/72 + 5*q**4/48 + 5*q**3/18 - 30*q**2. Let b(r) = 0. What is r?
-2, -1
Let 2/3*p**2 + 0 - 1/3*p**3 + 0*p = 0. Calculate p.
0, 2
Let p(b) = b + 1. Let q be p(3). Suppose q*w - 3 = 3*w. Solve -1/3*l + w*l**2 - 1/3 + 4/3*l**4 - 11/3*l**3 = 0.
-1/4, 1
Suppose -6 = -3*j - 3*k, -2*j + 3*k - 1 = -0*j. Factor -2*o + j - 2 - 2*o**2 + 5 + 4*o.
-2*(o - 2)*(o + 1)
Let r(v) = -v**2 + 10*v - 9. Let x be r(9). Let t(o) be the first derivative of x*o + o**3 - 5/4*o**4 - 1 + o**2. Solve t(c) = 0.
-2/5, 0, 1
Let w(i) be the second derivative of 0 - 3*i - 3*i**2 + 3/4*i**4 + 3/20*i**5 - 1/2*i**3 - 1/10*i**6. Find p such that w(p) = 0.
-1, 1, 2
Let m(v) = 2*v + 4. Let j be m(-8). Let r be (0 - j/(-16)) + 1. Suppose 0 - 1/4*z + r*z**2 + 1/4*z**3 - 1/4*z**4 = 0. What is z?
-1, 0, 1
Let d(m) be the third derivative of 7*m**6/40 + m**5/10 - 7*m**4/8 - m**3 + 2*m**2 + 18*m. Let d(p) = 0. Calculate p.
-1, -2/7, 1
Let x be (12/(-45))/(1 + 16/(-12)). Let 2*q - 6/5*q**2 - 2/5*q**3 + 2/5*q**4 - x = 0. What is q?
-2, 1
Let q(a) = -a**3 - 3*a**2 + 6*a + 3. Let h be q(-5). Let y be h/7 + -5 + 2. Find p, given that 6/7*p - 2/7 + y*p**3 - 6/7*p**2 = 0.
1
Let o = 124/177 - 2/59. Factor 2/3*n**2 + 0 - o*n.
2*n*(n - 1)/3
Suppose g + 2*g = -3. Let o(l) = l + 1. Let h be o(g). Let -2/5*i**5 + 0*i**3 + h - 4/5*i**4 + 4/5*i**2 + 2/5*i = 0. What is i?
-1, 0, 1
Let g(f) be the first derivative of -3 - 1/30*f**5 - f**3 + 1/180*f**6 + 0*f + 1/12*f**4 + 0*f**2. Let z(p) be the third derivative of g(p). Factor z(c).
2*(c - 1)**2
Let r(c) be the second derivative of -8*c**5/15 + 4*c**4/9 + 7*c**3/9 + c**2/3 - 7*c. Factor r(u).
-2*(u - 1)*(4*u + 1)**2/3
Let o(v) = v**2 - 4*v + 3. Let q(d) = 2*d**2 - 9*d + 7. Let z(u) = 14*o(u) - 6*q(u). Solve z(i) = 0.
0, 1
Let i be ((-16)/(-294))/8 - 0. Let j(f) be the second derivative of -i*f**7 + 1/21*f**6 - 5/21*f**3 + 0 - 1/7*f**5 + f + 5/21*f**4 + 1/7*f**2. Factor j(t).
-2*(t - 1)**5/7
Determine d, given that 2*d**4 - d**2 - 30*d - d**4 + 30*d**3 - d**4 + 8 - 7*d**4 = 0.
-1, 2/7, 1, 4
Let z be 2*3/(-231)*1. Let r = 160/231 + z. Factor -2/3*c**3 + 0*c + 2/3*c**5 - r*c**2 + 0 + 2/3*c**4.
2*c**2*(c - 1)*(c + 1)**2/3
Let g(b) = b**2 - 2*b. Let a = 7 + -4. Let l be g(a). What is j in -2*j - 6*j**3 - 3*j**2 - l*j**2 + 2*j**3 = 0?
-1, -1/2, 0
Let x(v) be the second derivative of -2*v**4/3 + 9*v**3 + 7*v**2 + 2*v + 21. Factor x(b).
-2*(b - 7)*(4*b + 1)
Solve b**4 - 33*b**5 - 38*b**2 + 8*b**2 + 81*b**5 + 99*b**3 + 3*b - 121*b**4 = 0 for b.
0, 1/4, 1
Let z(a) be the third derivative of 0*a**5 - 1/150*a**6 + 0*a + 0*a**3 - 5*a**2 + 1/525*a**7 + 0*a**4 + 0. Let z(x) = 0. What is x?
0, 2
Suppose -4*y = -2*y. Let d(b) be the third derivative of -b**2 + 0 + 1/1176*b**8 - 1/420*b**6 - 1/210*b**5 + y*b**4 + 0*b**3 + 1/735*b**7 + 0*b. Factor d(w).
2*w**2*(w - 1)*(w + 1)**2/7
Let w(h) be the second derivative of 0 + 0*h**2 - 1/10*h**5 - 1/18*h**3 - 2/45*h**6 - 4*h - 1/9*h**4 - 1/126*h**7. Let w(i) = 0. Calculate i.
-1, 0
Let m = 644/1065 - 1/213. Let c(l) be the first derivative of -m*l**5 + 3*l + 4 + 3*l**2 + 0*l**3 - 3/2*l**4. Suppose c(i) = 0. What is i?
-1, 1
Suppose 2*q = 14 - 8. Let d(s) be the second derivative of 0 + s**3 - q*s + s**2 - 5/3*s**4. What is v in d(v) = 0?
-1/5, 1/2
Let r(u) be the second derivative of -u**7/84 + u**6/60 + 3*u**5/20 - 7*u**4/12 + 11*u**3/12 - 3*u**2/4 + 59*u. Find q such that r(q) = 0.
-3, 1
Let i(f) be the first derivative of -f**5/20 + f**4/8 + f**3/12 - f**2/4 + 7. Suppose i(l) = 0. Calculate l.
-1, 0, 1, 2
Let r(c) be the first derivative of -4*c**3/3 + 6*c**2 + 16*c + 53. Determine p so that r(p) = 0.
-1, 4
Let a(m) be the third derivative of 0*m + 1/80*m**5 - 3*m**2 + 0*m**4 + 0 - 1/8*m**3. Factor a(o).
3*(o - 1)*(o + 1)/4
Let d = -11 - -3. Let k = d + 8. Solve 0 + 0*r**3 + 0*r**2 + 2/11*r**5 - 2/11*r**4 + k*r = 0 for r.
0, 1
Let n(a) = 2*a**4 + 6*a**3 + 19*a**2 + 19*a + 7. Let f(z) = -z**4 + z**3 - z**2 + z + 1. Let o(g) = -3*f(g) - 3*n(g). What is p in o(p) = 0?
-2, -1
Let x(r) = -r**3 - 6*r**2 - 8*r + 4. Let g be x(-4). Factor 0 + 12/11*u**3 + 2/11*u**5 + 2/11*u - 8/11*u**g - 8/11*u**2.
2*u*(u - 1)**4/11
Let d(k) be the third derivative of k**5/480 - k**3/48 - 15*k**2. Factor d(p).
(p - 1)*(p + 1)/8
Solve 0*m**2 - 1/7*m**5 + 3/7*m**4 + 0 + 0*m - 2/7*m**3 = 0.
0, 1, 2
Let c(d) be the third derivative of d**8/10920 - d**7/2730 - 5*d**3/6 - 4*d**2. Let p(b) be the first derivative of c(b). Find j such that p(j) = 0.
0, 2
Let 32/7*b**3 + 31/7*b + 4/7*b**4 + 53/7*b**2 + 6/7 = 0. Calculate b.
-6, -1, -1/2
Factor 0 - 2*l**2 + 0*l + 1/2*l**5 + 4*l**3 - 5/2*l**4.
l**2*(l - 2)**2*(l - 1)/2
Let v(t) = t**2 + 9*t - 6. Let r be (-2)/(-5) - 156/15. Let z be v(r). Solve -4/7*j + 2/7*j**z + 4/7*j**3 - 2/7 + 0*j**2 = 0 for j.
-1, 1
Let o(p) be the third derivative of 0*p**3 + 1/8*p**4 + 0*p + 3*p**2 - 1/20*p**5 + 0. Factor o(c).
-3*c*(c - 1)
Let f = -167 - -171. Let d(q) be the first derivative of 1/18*q**3 - f - 1/3*q + 1/12*q**2. Factor d(g).
(g - 1)*(g + 2)/6
Let n be 1*4/(8/6). Factor -4*u**3 + u**4 - 4*u**3 + 4*u**2 + 6*u**3 - n*u**2.
u**2*(u - 1)**2
Determine k so that 0*k + 1/2*k**4 + 0 + 1/4*k**2 + 3/4*k**3 = 0.
-1, -1/2, 0
Determine g so that 0 + 2*g**2 + 0*g + 2/3*g**3 = 0.
-3, 0
Factor -6/5*p + 0*p**2 - 3/5*p**4 + 6/5*p**3 + 3/5.
-3*(p - 1)**3*(p + 1)/5
Let t(q) be the second derivative of -7*q**5/120 - 5*q**4/72 + 4*q**3/9 - q**2/3 - 15*q. Find p such that t(p) = 0.
-2, 2/7, 1
Let x(w) be the first derivative of -16*w**5/5 - 9*w**4 - 8*w**3 - 2*w**2 + 26. Find y such that x(y) = 0.
-1, -1/4, 0
Let v(k) be the second derivative of 3/10*k**6 + 0*k**2 + 2*k - k**3 + 0 - 3/4*k**4 + 3/20*k**5 + 1/14*k**7. Determine n so that v(n) = 0.
-2, -1, 0, 1
Let q(c) be the second derivative of -c**7/126 - c**6/90 + c**5/60 + c**4/36 + 3*c. Factor q(m).
-m**2*(m - 1)*(m + 1)**2/3
Let c be (-1)/(-4) + 209/76. Let b(p) be the first derivative of -p**c + 0*p + p**2 - 1 - 5/4*p**4. Factor b(n).
-n*(n + 1)*(5*n - 2)
Let p = 159 + -157. Factor -7/2*f**3 - 4*f + 2 - 19/2*f**p.
-(f + 1)*(f + 2)*(7*f - 2)/2
Solve -32/15*k**2 - 16/15*k - 2/15 = 0 for k.
-1/4
Factor -15*p - 5*p**3 + 0*p - 3*p**2 - 17*p**2.
-5*p*(p + 1)*(p + 3)
Let z(c) be the second derivative of 1/2*c**4 + 0*c**5 + 2*c + 0 - 1/10*c**6 + 0*c**3 - 3/2*c**2. Factor z(l).
-3*(l - 1)**2*(l + 1)**2
Let l(i) be the third derivative of -1/120*i**6 + 0*i - 3*i**2 - 1/30*i**4 + 1/1050*i**7 + 0*i**3 + 0 + 2/75*i**5. Suppose l(y) = 0. What is y?
0, 1, 2
Let x be (20/(-12) + 3)*3/5. Determine t, given that 0 + 2/5*t**3 + 2/5*t + x*t**2 = 0.
-1, 0
Let z be (6/(-4))/(6/(-8)). Find r such that 3*r**z - r**2 - 2*r + 2*r = 0.
0
Let g = -3 - -24. Let o(c) = 3*c**4 + 10*c**3 + c**2 - 6*c - 4. Let k(h) = 15*h**4 + 51*h**3 + 6*h**2 - 30*h - 21. Let b(y) = g*o(y) - 4*k(y). Factor b(r).
3*r*(r - 1)*(r + 1)*(r + 2)
Let v(r) be the first derivative of 2*r**6/3 - 4*r**5/5 - r**4 + 4*r**3/3 + 2. Factor v(l).
4*l**2*(l - 1)**2*(l + 1)
Let w(a) be the second derivative of -1/24*a**4 + 0*a**3 + 1/2*a**2 - 1/60*a**5 - a + 0. Let h(v) be the first derivative of w(v). Factor h(q).
-q*(q + 1)
Let d be 26 - (9 - 3)/3. Factor -3 + 3 + 0 + d*g + 15*g**2 + 12 + 3*g**3.
3*(g + 1)*(g + 2)**2
Let b(y) = 2*y**2 - 4*y - 5. Suppose 2*x = x + 5*a - 18, 2*x - 34 = -4*a. Let s(q) = -q**2 + 2*q + 3. Let u(n) = x*s(n) + 4*b(n). Let u(r) = 0. What is r?
1
Let h(x) be the third derivative of 0*x + 0*x**3 +