vative of -b**6/2340 + b**4/156 - b**3/6 + 9*b**2. Let r(t) be the first derivative of o(t). Factor r(d).
-2*(d - 1)*(d + 1)/13
Suppose -5*z = -4*f - 17, 0 = 8*f - 4*f + 4*z - 28. Suppose 0 = -14*d + 18*d. Solve d*n**2 - 2 + 3*n - f*n**2 + n = 0 for n.
1
Let j(u) be the first derivative of -u**6/11 - 8*u**5/55 - u**4/22 + 6. Suppose j(o) = 0. What is o?
-1, -1/3, 0
Let w(t) be the third derivative of t**10/100800 + t**9/13440 - t**5/15 + 4*t**2. Let h(l) be the third derivative of w(l). Determine k so that h(k) = 0.
-3, 0
Let l = 4 - 4. Suppose 5*w - 20 = l, 8 = -n - 2*w + 5*w. Find f, given that -2*f**2 - 3 + 2*f - 1 + 0 + n*f**2 = 0.
-2, 1
Let c(n) be the third derivative of 0*n**3 + 0 - n**2 + 1/600*n**6 - 1/100*n**5 + 1/60*n**4 + 0*n. Determine z, given that c(z) = 0.
0, 1, 2
Let p = 3 + -8. Let c(k) = -k**3 - 6*k**2 - 6*k - 2. Let g be c(p). Factor 0 + 0 - 2*s**g - 3*s**4 + s**4.
-2*s**3*(s + 1)
Let a = 35/3 + -125/12. What is q in -5/4*q - a*q**4 - 5/2*q**3 - 1/4*q**5 - 5/2*q**2 - 1/4 = 0?
-1
Let i = 2727/7 + -389. Determine a so that i - 2/7*a - 2/7*a**2 = 0.
-2, 1
Suppose -8 = r + r. Let z = 6 + r. Determine j so that 0*j - 8*j**2 + 4*j**2 + 4*j**4 + z*j**5 - 2*j = 0.
-1, 0, 1
Determine r, given that 9/7*r**5 + 18/7*r**4 + 11/7*r**3 + 2/7*r**2 + 0 + 0*r = 0.
-1, -2/3, -1/3, 0
Let s(p) be the second derivative of p**7/4410 + p**4/6 + 5*p. Let m(c) be the third derivative of s(c). Suppose m(l) = 0. What is l?
0
Solve 4 - 3*s + 2*s**2 - 3*s**2 + s**2 - s**2 = 0 for s.
-4, 1
Let r be 0 + 8/(-112)*8/(-2). Suppose -12/7*l**2 - 2/7 - 8/7*l - 8/7*l**3 - r*l**4 = 0. Calculate l.
-1
Let v = -2539/2 + 1270. Factor -v - 1/2*k**3 + 1/2*k**2 + 1/2*k.
-(k - 1)**2*(k + 1)/2
Let k(r) be the third derivative of 7*r**6/30 + 2*r**5 + 6*r**4 + 16*r**3/3 + 3*r**2. What is t in k(t) = 0?
-2, -2/7
Factor -2/3*w**2 - 2/3*w + 4/3.
-2*(w - 1)*(w + 2)/3
Let l(i) = -i**2 - 6*i - 8. Let q be l(-2). Determine u, given that q - 22/7*u**2 + 18/7*u**3 + 4/7*u = 0.
0, 2/9, 1
Factor 0 + 4/3*g**3 + 0*g + 2/3*g**2 + 2/3*g**4.
2*g**2*(g + 1)**2/3
Let p be (-32)/6 - 4/(-12). Let v = 9 + p. Solve -v*n**4 - n**4 + 3*n**4 + 4*n**3 = 0.
0, 2
Let s = 348 + -1043/3. Factor s*o**2 - 2/3 + 1/3*o**4 + o**3 - o.
(o - 1)*(o + 1)**2*(o + 2)/3
Let w(i) be the third derivative of i**8/20160 - i**7/1680 - i**5/12 - 5*i**2. Let p(k) be the third derivative of w(k). Determine b so that p(b) = 0.
0, 3
Let m(b) = -4*b**4 - 4*b**3 + 4*b - 2. Let k(a) = -15*a**4 - 15*a**3 + a**2 + 15*a - 8. Let s(o) = -6*k(o) + 22*m(o). Determine v so that s(v) = 0.
-2, -1, 1
Let x(j) be the third derivative of 1/42*j**8 + 6*j**2 + 0 + 1/42*j**4 + 0*j**3 + 0*j + 11/210*j**5 + 0*j**6 - 41/735*j**7. What is a in x(a) = 0?
-2/7, -1/4, 0, 1
Let l(w) = -8*w**4 + 10*w**3 - 6*w**2 + 2*w - 4. Let q(s) = -23*s**4 + 29*s**3 - 17*s**2 + 5*s - 11. Let p(n) = 17*l(n) - 6*q(n). Determine m so that p(m) = 0.
-1, 1
Let c be ((-1)/(-3))/(3/18). Let r be ((-1)/c)/((-4)/24). Factor -y**r - y**3 + y - 2*y**5 + 3*y**5.
y*(y - 1)**2*(y + 1)**2
Let v = 5 + -3. Factor -3*z**3 + 0*z**5 + v*z**5 + 0*z**5 + 4*z**4 + 5*z**3.
2*z**3*(z + 1)**2
Let y(u) = u**3 + 7*u**2 + 8*u + 7. Let g be y(-6). Let a be (2/g)/(9/(-45)). Suppose 0*w + 0 + 1/4*w**a + 1/4*w**3 = 0. Calculate w.
-1, 0
Let t(n) be the first derivative of -1/4*n**4 - 2*n - 1/6*n**2 + 1/15*n**5 + 1/3*n**3 + 4. Let k(p) be the first derivative of t(p). Factor k(j).
(j - 1)**2*(4*j - 1)/3
Let b be (1 - -1)*(-1)/(-2). Let n be b + (-1 - 24/(-21)). Let -n*o + 2/7*o**4 + 12/7*o**2 - 8/7*o**3 + 2/7 = 0. Calculate o.
1
Let q = -1244/3 - -416. Factor q*y**2 + y - 1/3.
(y + 1)*(4*y - 1)/3
Let h(f) = -f - 31. Let n be h(-13). Let u be n/4*(-2)/15. What is t in -6/5*t - u*t**2 - 3/5 = 0?
-1
Let s = -35 - -35. What is q in 1/4*q**4 + s*q + 1/4*q**5 + 0 - 1/2*q**3 + 0*q**2 = 0?
-2, 0, 1
Let q be (30/8)/((-12)/48). Let v be 3/30*q/(-6). Let 1/4*n + v*n**2 - 1/2 = 0. What is n?
-2, 1
Let j(c) = -c**5 + c**4 + c**3 - c**2 - c. Let f(l) = 3*l**5 - 10*l**4 + 11*l**3 - 4*l**2 - 6*l. Let q(r) = -5*f(r) + 30*j(r). Factor q(x).
-5*x**2*(x - 1)**2*(9*x + 2)
Let u(b) = 9*b**5 - 23*b**4 + 7*b**3 + 21*b**2 - 16*b + 5. Let i(m) = m**4 - m**3 - m**2 + m - 1. Let p(v) = 6*i(v) + 2*u(v). Determine s, given that p(s) = 0.
-1, 2/9, 1
Let r(q) = 4*q**3 - 5*q**2 - 9*q + 5. Let s(w) = 6*w**3 - 7*w**2 - 13*w + 7. Let u = 4 - 0. Let i be -2*(-2)/(u/7). Let g(o) = i*r(o) - 5*s(o). Solve g(l) = 0.
-1, 0, 1
Let z(q) = -q**3 - 6*q**2 + 7*q + 4. Let v be z(-7). Suppose v*k - 7 = 5. Solve 3*l - 2*l**3 + 2 + 3*l**3 + 3 - k*l**2 - 6 = 0.
1
Let f be ((-1)/(-1))/(6/30) - 2. Suppose 2/7*b + 2/7*b**f + 4/7*b**2 + 0 = 0. Calculate b.
-1, 0
Let z be 5 + -7 + (0 - -2). Let t(k) be the third derivative of 0*k + 0 - k**2 + 0*k**5 - 1/60*k**6 + 0*k**3 + z*k**4. Factor t(w).
-2*w**3
Let j = 921 - 921. Determine r, given that 2/7*r**4 + 2/7*r**3 + 0 + 0*r + j*r**2 = 0.
-1, 0
Suppose 2*u = -2 - 2. Let q = -2 - u. Factor q - 2/3*t**2 + 0*t.
-2*t**2/3
Let q(n) be the first derivative of -n**5/5 + n**3/3 + 7. Factor q(y).
-y**2*(y - 1)*(y + 1)
Let h(b) be the third derivative of -b**8/1344 + b**7/210 - b**6/80 + b**5/60 - b**4/96 + b**2. Factor h(i).
-i*(i - 1)**4/4
Let f(h) be the second derivative of 3*h + 0 + 0*h**3 + 1/4*h**4 - 3/2*h**2. Factor f(z).
3*(z - 1)*(z + 1)
Suppose -10 + 5 = j. Let a(x) = 2*x**3 + x**2 + 2*x + 5. Suppose 0*d + 10 = 5*d. Let z(w) = w**3 + w + 2. Let r(q) = d*a(q) + j*z(q). Factor r(s).
-s*(s - 1)**2
Determine z so that 0*z**2 - 1/2*z**4 + 0 + 0*z**3 + 0*z = 0.
0
Let y(d) be the second derivative of 0 + 1/12*d**4 + d**2 - 1/2*d**3 + 5*d. Find b such that y(b) = 0.
1, 2
Let k = -14 - -16. Suppose -3*l - 12 = 0, -x = -k*x - 5*l - 16. Factor 0*d**x + 0 - 1/2*d - 1/2*d**5 + 0*d**2 + d**3.
-d*(d - 1)**2*(d + 1)**2/2
Suppose -2*y = 4 - 0, -y - 2 = w. Let g = 4 - w. Factor -4 + 24*q**2 + 12*q**3 + 2*q**3 + g*q**3 + 2*q.
2*(q + 1)*(3*q - 1)*(3*q + 2)
Let d(s) be the second derivative of -s**7/126 - s**6/90 + s**5/20 + s**4/36 - s**3/9 + 11*s. Determine g so that d(g) = 0.
-2, -1, 0, 1
Let v = 124 + -224. Let p = -698/7 - v. Factor 4/7 - p*l**2 - 2/7*l.
-2*(l - 1)*(l + 2)/7
Suppose 36*x - 28 = 29*x. Factor 0*t**2 + 2/7*t**x + 0*t + 0 - 6/7*t**3.
2*t**3*(t - 3)/7
Let o(z) = -4*z**3 - 4*z**2 - 2*z. Let q(k) = -13*k**3 - 13*k**2 - 7*k. Let v(j) = 7*o(j) - 2*q(j). Solve v(t) = 0.
-1, 0
Let h(b) = -b - 2. Let r be h(-4). Factor -2*t**2 - 2*t + 2*t**5 - r*t**3 + 0*t**3 + 2*t + 2*t**4.
2*t**2*(t - 1)*(t + 1)**2
Determine z, given that 12*z**3 - 5*z - 3*z - 8*z**2 - 19*z**3 + 5*z**3 = 0.
-2, 0
Let o = -7 + 23. Let p = 16 - o. What is m in 2/3*m**4 + p*m**3 - 2/3*m**2 + 0*m + 0 = 0?
-1, 0, 1
Let o be (-3)/2 - 18/(-4). Let u be ((-12)/(-8))/(o/4). Factor -r**u - 3*r**3 + 0*r**2 + r**4 + 2*r + 16*r**5 - 15*r**5.
r*(r - 1)**2*(r + 1)*(r + 2)
Let u(b) be the first derivative of -b**4/20 + b**3/15 + 2*b**2/5 - 4*b/5 + 3. Factor u(k).
-(k - 2)*(k - 1)*(k + 2)/5
Suppose 20 = 5*g - g. Let t be 14/35*g/9. Solve 2/3*h**2 - 4/9*h - t*h**4 + 0 + 0*h**3 = 0.
-2, 0, 1
Suppose 4*a - 5*x - 4 = 3, -55 = -5*a - 3*x. Let d = a + -6. Factor 0 - 2/7*i - 2/7*i**d.
-2*i*(i + 1)/7
Factor 0*f - 3/7 + 3/7*f**2.
3*(f - 1)*(f + 1)/7
Factor 2 + 1/2*r - 1/4*r**2.
-(r - 4)*(r + 2)/4
Suppose -2*s + 5*m + 14 = 0, 4*s = 4*m + 16 - 0. Factor 4/3*c**s + 0 + 2/3*c + 2/3*c**3.
2*c*(c + 1)**2/3
Let t(u) be the first derivative of 49*u**4 + 112*u**3/3 + 8*u**2 - 7. Factor t(w).
4*w*(7*w + 2)**2
Let p(k) be the third derivative of k**7/840 + k**6/360 - k**5/120 + k**4/8 - 3*k**2. Let s(u) be the second derivative of p(u). Suppose s(d) = 0. What is d?
-1, 1/3
Let g(t) = -2*t**2 + 32*t + 16. Let z(b) = -b**2 + 11*b + 5. Let s be (23 - (0 + -1)) + 2. Suppose 4*y = -6 - s. Let f(r) = y*z(r) + 3*g(r). Factor f(v).
2*(v + 2)**2
Let d(v) be the first derivative of 3*v**4/8 + v**3/2 + 50. Factor d(q).
3*q**2*(q + 1)/2
Let u(m) be the third derivative of 3*m**8/140 - 8*m**7/175 + 2*m**6/75 - m**2. Factor u(v).
4*v**3*(3*v - 2)**2/5
Find g, given that 2*g**2 - 10/7*g**3 + 0 - 6/7*g + 2/7*g**4 = 0.
0, 1, 3
Let i = 3 - 1. Factor 6*u - 6 - 3/2*u**i.
-3*(u - 2)**2/2
Let v(n) = n**3 + 5*n**2 - 7*n + 9. Let y be v(-7). Let p = -37 - y. Factor 0 - 2/5*c - 2/5*c**p + 4/5*c**2.
-2*c