)/5
Let s(x) = 3*x**2 - 2*x - 1. Let r(f) = -f**2 + f. Let b(a) = -4*r(a) - s(a). Let b(k) = 0. Calculate k.
1
Let z(s) be the first derivative of -2*s**5/5 + 5*s**4/2 - 4*s**3 + 48. Let z(b) = 0. What is b?
0, 2, 3
Let v(d) be the first derivative of 2/9*d**3 + 1 + 1/6*d**4 + 1/9*d**2 - d. Let m(k) be the first derivative of v(k). Determine u, given that m(u) = 0.
-1/3
Determine f, given that 8*f + 2*f**3 - 4 - 6*f**2 + 4 - 2*f**2 = 0.
0, 2
Suppose 0 = 6*h - 3*h. Let k(n) be the third derivative of n**2 + 0*n**4 + h + 0*n + 0*n**3 + 1/60*n**5. Factor k(v).
v**2
Let c(y) be the second derivative of y**7/1680 + y**6/320 + y**5/160 + y**4/192 - y**2/2 + 5*y. Let t(g) be the first derivative of c(g). Factor t(b).
b*(b + 1)**3/8
Let g(z) be the second derivative of -z**4/4 - 2*z**3 + 15*z**2/2 - 23*z. Factor g(p).
-3*(p - 1)*(p + 5)
Let w(f) be the third derivative of -f**2 + 1/450*f**5 - 1/1575*f**7 - 1/900*f**6 + 0*f + 0*f**3 + 0 + 1/180*f**4. Solve w(a) = 0 for a.
-1, 0, 1
Let m(v) be the third derivative of -v**8/2520 + v**7/1575 + v**6/300 - v**5/450 - v**4/90 + 29*v**2. Determine s, given that m(s) = 0.
-1, 0, 1, 2
Factor 0*y**2 + 0*y**4 + 0*y**3 + 0*y + 0 - 2/17*y**5.
-2*y**5/17
Let t = -1 - -5. Let w(d) be the first derivative of 1/6*d**t + 1 - 2/3*d - 2/3*d**3 + d**2. Factor w(q).
2*(q - 1)**3/3
Let g be (6*(-2)/(-3))/(2 + 0). Factor 8/7 + 8/7*q + 2/7*q**g.
2*(q + 2)**2/7
Let i(b) be the first derivative of -9*b**6/8 + 39*b**5/20 + b**4/16 - 11*b**3/12 - b**2/4 - 31. Solve i(n) = 0 for n.
-1/3, -2/9, 0, 1
Let t(o) be the second derivative of -o**7/70 - o**6/25 + 3*o**5/50 + o**4/5 - o**3/10 - 3*o**2/5 - 6*o. Solve t(u) = 0.
-2, -1, 1
Suppose -6*w = -2*w - 12. Let r be ((-4)/(-24)*w)/1. Factor -r*b**2 + 1/2*b + 0.
-b*(b - 1)/2
Let n = -168 + 5041/30. Let l(d) be the third derivative of n*d**5 - 1/48*d**4 + 0*d + 0 + 0*d**3 + d**2. Factor l(p).
p*(4*p - 1)/2
Let z(t) = 2*t**3 - 5*t**2 + 5*t + 5. Let l(f) = -f**3 + 2*f**2 - 2*f - 2. Let q(d) = -7*l(d) - 3*z(d). Let q(v) = 0. What is v?
-1, 1
Let m(w) be the second derivative of -w**6/1260 + w**5/420 - w**3/3 - 8*w. Let q(h) be the second derivative of m(h). Factor q(b).
-2*b*(b - 1)/7
Let i(l) be the second derivative of 1/84*l**7 + 1/24*l**4 - 2*l + 0*l**2 + 0*l**3 - 1/60*l**6 + 0 - 1/40*l**5. Factor i(v).
v**2*(v - 1)**2*(v + 1)/2
Let p(d) be the third derivative of -d**6/1080 - d**5/108 + 25*d**2. Factor p(x).
-x**2*(x + 5)/9
Let t(b) = b - 1. Let p be t(1). Find s such that -9/5*s**3 + 9/5*s**5 + 0 + 3/5*s**2 - 3/5*s**4 + p*s = 0.
-1, 0, 1/3, 1
Suppose 8*z + 20 = 3*z - 4*v, 0 = -3*z - v - 5. Suppose 4*w - 16 = 4*h, -2*h + 2 + 2 = 2*w. Determine p so that p**4 + z*p**4 + 1 - w*p**2 + p**2 = 0.
-1, 1
Let x(k) = 11*k**5 + k**4 - 17*k**3 - 5*k**2 + 5*k - 5. Let l(w) = -6*w**5 + 9*w**3 + 3*w**2 - 3*w + 3. Let b(s) = 5*l(s) + 3*x(s). Find c, given that b(c) = 0.
-2, 0, 1
Solve 0 + 9*t - 3/2*t**2 = 0.
0, 6
Let r(y) = -4*y**3 + 3*y**2 + 3*y + 4. Let z be r(-2). Let v be (-12)/(0 + (-45)/z). Solve v*x - 138/5*x**2 - 8/5 - 10*x**4 + 28*x**3 = 0 for x.
2/5, 1
Let f(a) be the second derivative of -a**7/126 + a**6/5 - 107*a**5/60 + 11*a**4/2 + 6*a**3 - 36*a**2 + 2*a - 35. Factor f(k).
-(k - 6)**3*(k - 1)*(k + 1)/3
Let d(u) be the first derivative of u**3/33 + 3*u**2/22 - 10. Suppose d(w) = 0. What is w?
-3, 0
Let r(t) be the third derivative of -t**5/60 + t**3/6 + 9*t**2. Suppose r(q) = 0. Calculate q.
-1, 1
Let a(b) be the first derivative of 0*b**2 + 0*b - 3 + 1/8*b**4 - 1/3*b**3. What is j in a(j) = 0?
0, 2
Let c(p) be the first derivative of -p**5/5 + 11*p**4/10 - 11*p**3/5 + 2*p**2 - 4*p/5 - 40. Suppose c(u) = 0. What is u?
2/5, 1, 2
Let v be -1 - -2*15/18. Let h(r) be the first derivative of -v*r**2 + 1/9*r**3 + 4/3*r - 3. Factor h(z).
(z - 2)**2/3
Let w(v) be the second derivative of -v**6/210 + v**5/140 + v**4/28 - 5*v**3/42 + v**2/7 + 40*v. Factor w(p).
-(p - 1)**3*(p + 2)/7
Let d(a) = -8*a**2 - 48*a - 187. Let p(o) = -15*o**2 - 96*o - 375. Let t(f) = -9*d(f) + 5*p(f). Factor t(m).
-3*(m + 8)**2
Factor 0 + 4/5*z**2 + 8/5*z.
4*z*(z + 2)/5
Let d(a) = 9*a**5 + 9*a**4 - 2*a**3 - 9*a**2. Let q(g) = 4*g**5 + 4*g**4 - g**3 - 4*g**2. Let m(c) = -6*d(c) + 14*q(c). Find o such that m(o) = 0.
-1, 0, 1
Let o(j) be the second derivative of -j**7/525 + j**6/300 - 5*j**2/2 + 6*j. Let g(d) be the first derivative of o(d). Let g(h) = 0. Calculate h.
0, 1
Suppose 2*p - 4*i + 7 - 3 = 0, -4*p + 5*i = -7. Determine k so that p*k**3 + 5*k**5 + 6*k**4 - 5*k**3 - 2*k**5 = 0.
-1, 0
Let a(v) be the third derivative of -v**6/240 - v**5/40 - v**4/16 - v**3/12 - 5*v**2. Let a(o) = 0. What is o?
-1
Factor w + w**2 - 4*w + 4*w.
w*(w + 1)
Factor -4*t**3 + 8*t**5 - 4*t + 6*t - 6*t**5.
2*t*(t - 1)**2*(t + 1)**2
Let s(a) = -a**4 + a**3 - a**2 - 1. Let c(b) = 32*b**5 + 34*b**4 + 8*b**3 + 3*b**2 + 2. Let v(i) = 2*c(i) + 4*s(i). Factor v(z).
2*z**2*(2*z + 1)*(4*z + 1)**2
Let i(w) be the third derivative of w**5/150 + w**4/5 + 12*w**3/5 + 41*w**2. Let i(l) = 0. Calculate l.
-6
Let w(v) be the third derivative of -v**5/60 + v**3/6 - v**2. Let t = -6 - -10. Let c(l) = -l**2 + l + 2. Let p(f) = t*w(f) - 3*c(f). Let p(s) = 0. What is s?
-2, -1
Let h(f) be the third derivative of 0 + 0*f + 7*f**2 + 0*f**3 - 1/60*f**5 + 1/12*f**4. Factor h(x).
-x*(x - 2)
Let g(y) be the first derivative of -1/9*y**2 + 0*y + 1/27*y**6 - 4/27*y**3 + 4/45*y**5 + 2 + 0*y**4. Let g(a) = 0. Calculate a.
-1, 0, 1
Let v be 126/(-36) - (1 - 6). Determine c so that -3*c**2 + 0*c**3 + 0*c + 3/2 + v*c**4 = 0.
-1, 1
Let c(f) = f**3 + 9*f**2 + 7*f - 6. Let l be c(-8). Factor 4*w**2 + 12*w**4 + l*w - 3*w**3 + 23*w**3 - 6*w.
4*w*(w + 1)**2*(3*w - 1)
Let d(z) be the third derivative of 3/20*z**5 + 0*z - 1/40*z**6 + 0*z**4 + 3*z**2 + 0 - 2*z**3. Factor d(i).
-3*(i - 2)**2*(i + 1)
Let t be (3/(-15))/((-3)/15). Let s(o) = o**2 + 1. Let c(z) = -2*z**2 + 3*z - 1. Let l(k) = t*c(k) + 3*s(k). Factor l(y).
(y + 1)*(y + 2)
Let v = 85 - 43. Let c be v/28 + (-2)/12. Factor c*x - 2/3*x**2 - 2/3.
-2*(x - 1)**2/3
Let g(w) be the first derivative of 10*w**3/21 + 12*w**2/7 + 8*w/7 - 4. Find q such that g(q) = 0.
-2, -2/5
Suppose -4*n = -8*n - n. Find y, given that 0*y + 0*y**3 + 0 + 0*y**4 - 2/7*y**5 + n*y**2 = 0.
0
Let r = -2 + 5. Let i = 7 - r. Determine w so that 5*w**2 - 5*w**2 - w**i = 0.
0
Let i(u) be the second derivative of 1/20*u**5 - 3*u + 0*u**3 - 1/90*u**6 + 0*u**2 - 1/18*u**4 + 0. Factor i(m).
-m**2*(m - 2)*(m - 1)/3
Let v(g) = g - 1. Let z be v(7). Suppose -2*o = -2 - z. Determine y, given that 2*y + 6*y**2 + 2*y**o - 5*y**3 + 5*y**3 + 6*y**3 = 0.
-1, 0
Find o, given that 1 - 5*o**2 + 1 - 2 + 6*o - 1 = 0.
1/5, 1
Let q(b) be the first derivative of 0*b - 2/9*b**2 + 2/45*b**5 - 1/6*b**4 - 10/27*b**3 + 1/27*b**6 + 3. Factor q(c).
2*c*(c - 2)*(c + 1)**3/9
Let l(d) = -d**3 + 16*d**2 - 9*d + 4. Let v(q) = -q**2. Let i(o) = l(o) + 6*v(o). Let f be i(9). Factor 4*h**4 - f*h**4 + 0*h - 2*h - 3*h**2 + h**4.
h*(h - 2)*(h + 1)**2
Let v(i) be the third derivative of i**5/40 + 3*i**4/16 + i**3/2 - i**2. Factor v(w).
3*(w + 1)*(w + 2)/2
Let m be 0 - (-704)/(-180) - -4. Let i(q) be the second derivative of 0 - 1/45*q**6 + 2/27*q**3 - 2*q + m*q**5 + 0*q**2 - 7/54*q**4. Factor i(l).
-2*l*(l - 1)**2*(3*l - 2)/9
Let d = 179 + -176. Find y, given that 0*y + 0*y**d + 4/5*y**2 - 2/5*y**4 - 2/5 = 0.
-1, 1
Factor 16*d**2 + 3*d + 13*d + d**3 + 3*d**3.
4*d*(d + 2)**2
Let q = 4 - 4. Suppose -l - 4*l + 20 = q. Factor -r**l - 18 + 18 + r**2.
-r**2*(r - 1)*(r + 1)
Let q be 9/(-3) + 4 - -13. Let u(t) = t**3 - 15*t**2 + 14*t + 3. Let a be u(q). Factor -9/7*c**2 + 9/7*c**a - 3/7*c**4 + 0 + 3/7*c.
-3*c*(c - 1)**3/7
Let h be (2/(-8))/(7/(-42)). Let r be (-84)/(-40) - (-2)/5. Factor -r*j - h*j**2 - 1.
-(j + 1)*(3*j + 2)/2
Let h = -3/779 + 1139/93480. Let k(t) be the third derivative of 1/240*t**6 + 0 - 1/48*t**4 - 1/12*t**3 + 0*t - 2*t**2 + h*t**5. Factor k(q).
(q - 1)*(q + 1)**2/2
Find y such that 4*y**2 + 0 + 11 - 4*y**3 + 20*y + 1 = 0.
-1, 3
Let v(n) be the third derivative of n**8/112 + 3*n**7/70 + n**6/40 - 3*n**5/20 - n**4/4 - 5*n**2. What is f in v(f) = 0?
-2, -1, 0, 1
Let w(o) = o**4 + o**3 - o**2 + o - 1. Suppose -4*l = 16, -2*n - 4*l - 10 = 4. Let h(q) = 10*q**4 - 8*q**2 + 12*q - 8. Let t(v) 