(p). Factor q(v).
3*v*(v + 2)
Let d(k) be the second derivative of 1/12*k**4 + 3*k - 1/2*k**2 - 1/6*k**3 + 0 + 1/20*k**5. Factor d(j).
(j - 1)*(j + 1)**2
Let d = -131 + 138. Let c(m) be the third derivative of 0*m**4 - 2/105*m**d + m**2 + 1/90*m**5 + 1/120*m**6 + 0 + 0*m + 1/144*m**8 + 0*m**3. Factor c(t).
t**2*(t - 1)**2*(7*t + 2)/3
Let n be (-18)/35*(-99 + 1). Let r = -50 + n. Find p such that -2/5*p**5 + 0*p**2 - r*p**3 + 0 - 4/5*p**4 + 0*p = 0.
-1, 0
Let y(k) be the first derivative of -3/10*k**2 - 2 + 0*k - 1/15*k**3. Find b such that y(b) = 0.
-3, 0
Let l = 487/2 - 243. Find k, given that -1/6*k**3 - l*k**2 - 1/6 - 1/2*k = 0.
-1
Let c(h) be the second derivative of 0 + 2/9*h**3 + 1/6*h**2 + 1/15*h**5 + 1/90*h**6 + 1/6*h**4 + 3*h. Let c(m) = 0. What is m?
-1
Let a(m) be the second derivative of -m**7/42 + m**6/10 - m**5/20 - m**4/4 + m**3/3 - 14*m. Factor a(l).
-l*(l - 2)*(l - 1)**2*(l + 1)
Suppose 67*g - 75*g + 24 = 0. Let p(z) be the second derivative of -1/20*z**5 + 0*z**2 - 1/12*z**4 + 0 + 0*z**3 + g*z + 1/42*z**7 + 1/30*z**6. Factor p(q).
q**2*(q - 1)*(q + 1)**2
Suppose 0 = h - c - 4, 0*c = -5*c - 10. Factor -1/5*o**h - 3/5 - 4/5*o.
-(o + 1)*(o + 3)/5
Suppose -13*r**3 + 196*r**5 + 16*r**2 - 83*r**3 + 46*r**4 + 38*r**4 = 0. What is r?
-1, 0, 2/7
Let n = 49 - 12. Suppose 0 = -b - 5 + n. Factor -61*m**5 - 191*m**3 - 448*m**4 + 159*m**5 - 203*m**2 - 53*m**2 + b*m + 815*m**3.
2*m*(m - 2)**2*(7*m - 2)**2
Let t(u) be the second derivative of -u**9/22680 + u**8/4032 - u**7/7560 - u**6/1080 + u**4/4 + 3*u. Let j(i) be the third derivative of t(i). Factor j(d).
-d*(d - 2)*(d - 1)*(2*d + 1)/3
Let z = 56 - 276/5. Factor -2/5*n**2 + 0 + z*n.
-2*n*(n - 2)/5
Let f(a) = 5*a**4 + 8*a**3 + a**2 + 4*a + 6. Let t(j) = -5 - 3 + 7 - j. Let d be -5*-6*(-1)/5. Let k(g) = d*t(g) - f(g). Factor k(h).
-h*(h + 1)**2*(5*h - 2)
Let j(b) = 1. Let l(p) = -2*p**2 - 4*p + 18. Let n(a) = 36*j(a) - 2*l(a). Suppose n(t) = 0. What is t?
-2, 0
Let q be (-42)/120 + (-4)/10*-1. Let s(j) be the third derivative of -q*j**5 + 1/8*j**4 + 0*j + 1/120*j**6 + 0 - 1/6*j**3 + j**2. Let s(x) = 0. What is x?
1
Let b(k) be the first derivative of -k**5 + 10*k**3/3 - 5*k + 8. Determine f, given that b(f) = 0.
-1, 1
Let u = -15 + 17. Factor 2/3*d**3 + 0*d**u + 1/3 - 1/3*d**4 - 2/3*d.
-(d - 1)**3*(d + 1)/3
Let f(d) = -d**2 + 3*d. Let t(r) = -r**2 + 2*r. Let l(z) = -2*f(z) + 3*t(z). Factor l(g).
-g**2
Let a(i) be the third derivative of i**9/35280 - i**7/1960 - i**6/840 + i**4/6 - 7*i**2. Let m(n) be the second derivative of a(n). Solve m(t) = 0.
-1, 0, 2
Let m(g) = 4*g + 4. Let y(z) = -3*z - 4. Let a(l) = -4*m(l) - 5*y(l). Let p be a(4). Factor 0*r + r**4 + 3*r**5 - 5/3*r**3 + p + 1/3*r**2.
r**2*(r + 1)*(3*r - 1)**2/3
Suppose 2*b = b + 4. Find n such that -6*n**2 + b + 1 + 7 + 3*n**2 = 0.
-2, 2
Let o(j) be the second derivative of j**5/4 + j**4/4 - 3*j**3/2 + 7*j**2/2 + 3*j. Let z(r) = r**3 - r + 1. Let y(w) = -o(w) + 6*z(w). Solve y(l) = 0.
1
Let b(l) be the second derivative of l**6/105 + l**5/35 + l**4/42 + l. Suppose b(t) = 0. What is t?
-1, 0
What is o in 0 + 9/7*o**3 + 12/7*o**2 + 4/7*o - 2/7*o**4 - 3/7*o**5 = 0?
-1, -2/3, 0, 2
Let i(y) be the first derivative of 8*y**3/15 - 2*y**2 - 12*y/5 + 26. Suppose i(l) = 0. What is l?
-1/2, 3
Let j(b) = 81*b**5 + 111*b**4 + 144*b**3 + 15*b**2 - 33. Let c(r) = 5*r**5 + 7*r**4 + 9*r**3 + r**2 - 2. Let l(a) = 33*c(a) - 2*j(a). Factor l(x).
3*x**2*(x + 1)**3
Let j = 68/3 - 22. Let d(o) be the third derivative of -2*o**2 + j*o**3 - 1/30*o**5 + 0 + 1/12*o**4 + 0*o. Factor d(m).
-2*(m - 2)*(m + 1)
Suppose 10*c - 8*c - 2 = 0. Let a be 1*4/4 - c. Find u such that a - 10/7*u**3 + 0*u + 4/7*u**2 - 4/7*u**4 + 10/7*u**5 = 0.
-1, 0, 2/5, 1
Factor -3*g**2 - 10*g**2 + 18*g**2 - 6*g**2.
-g**2
Suppose 2*k - 9 = 3. Suppose 3*r + k = 3*d + 6*r, -3*d + 6 = -r. Factor d*h + 2 + 10*h**3 - 2*h**2 - 5*h**3 - 7*h**3.
-2*(h - 1)*(h + 1)**2
Factor 0*s**3 - 2/7*s**4 + 2/7*s**2 + 0*s + 0.
-2*s**2*(s - 1)*(s + 1)/7
Let n be 32/(-60)*(-3)/2. Factor 18/5*f**2 - n*f + 0.
2*f*(9*f - 2)/5
Let 0 - 2/11*x**2 + 4/11*x = 0. Calculate x.
0, 2
Suppose 3*d - r - 4*r - 28 = 0, 3*d + r = -2. Factor 3*x**2 - 2*x**2 - 3*x**2 + 3*x**2 + d + 2*x.
(x + 1)**2
Let u(k) = k. Let i(l) = l**2 + 14*l + 16. Let g = -20 + 21. Let p(o) = g*i(o) - 6*u(o). Solve p(f) = 0 for f.
-4
Suppose -4*m + 188 - 188 - 4*m**2 = 0. What is m?
-1, 0
Suppose -3 = -4*o + 3*o. Solve 1/4*p**o + 0*p + 1/2*p**4 - 1/4*p**2 + 0 = 0 for p.
-1, 0, 1/2
Let q(a) be the first derivative of a**4/8 - 5*a**3/18 + a**2/12 + a/6 - 32. Find c, given that q(c) = 0.
-1/3, 1
Let m be (0/(4 - 10))/(2 + -3). Factor 0*x**3 - 4/11*x**4 - 2/11*x + 2/11*x**5 + 4/11*x**2 + m.
2*x*(x - 1)**3*(x + 1)/11
Let r be ((-49)/105)/((-2)/6). Suppose r*u**4 - 2/5*u**5 + u**2 - 1/5*u - 9/5*u**3 + 0 = 0. Calculate u.
0, 1/2, 1
Let o = 12 - 9. Let h(n) be the second derivative of -1/24*n**4 + 0*n**2 - 1/12*n**o + 0 - 2*n. Determine u, given that h(u) = 0.
-1, 0
Let x = 1/5812 + 1418107/122052. Let p = x - 72/7. Determine g so that -2*g - 2/3*g**2 - p = 0.
-2, -1
Suppose -14*v + 6 = -16*v. Let d be 8/(-6)*v/6. What is t in 2/3*t**2 + d + 4/3*t = 0?
-1
Suppose 2*q - 105 = -q. Suppose 15 = 2*r - v, -3*r + 5*v - v + q = 0. Determine o so that 1/2*o**r - o**3 + 1/2*o - 1/2 + o**2 - 1/2*o**4 = 0.
-1, 1
Let b be (3 - 78/30)/((-6)/(-5)). Let c(u) be the second derivative of -3*u - b*u**2 + 0 - 1/6*u**3 - 1/36*u**4. Factor c(r).
-(r + 1)*(r + 2)/3
Suppose 7*a = 18*a - 33. Factor 0 + 0*s - 2/5*s**a + 0*s**4 + 2/5*s**5 + 0*s**2.
2*s**3*(s - 1)*(s + 1)/5
Let o be -2*2/5 - -1. Suppose 24*y = 23*y. Suppose 0*n**2 + 0 - 1/5*n**4 + y*n + o*n**3 = 0. What is n?
0, 1
Let s(r) be the third derivative of r**9/241920 - r**8/20160 + r**7/5040 + r**5/30 - 2*r**2. Let g(l) be the third derivative of s(l). Solve g(u) = 0 for u.
0, 2
Suppose -3*c + 3*h + 9 = -6, 0 = -5*c - 3*h + 1. Suppose -b + 6 = -c*a, b + 0*b + 3*a = -4. Solve 2/3 + 4/3*j - 6*j**4 - 12*j**3 - 16/3*j**b = 0.
-1, -1/3, 1/3
Suppose -r = -3*r. Let t be 2 + r*3/(-6). Determine n, given that n**3 - t*n**3 + 0*n**3 = 0.
0
Let v(o) be the third derivative of -o**7/42 + o**6/24 + o**5/12 - 5*o**4/24 - 13*o**2. Find y such that v(y) = 0.
-1, 0, 1
Let d be (-3)/(-9) - 11/(-3). Suppose 2*y = -4*z - 16, y = 2*y + d*z + 18. Determine w so that 3*w**3 + w**3 - y*w**3 = 0.
0
Let b(d) be the first derivative of -2*d**3/21 + 6*d**2/7 - 18*d/7 + 10. Let b(o) = 0. Calculate o.
3
Let c(h) be the second derivative of -h**6/900 - h**5/150 - h**4/60 + h**3/2 + h. Let f(i) be the second derivative of c(i). Factor f(r).
-2*(r + 1)**2/5
Let l(d) be the second derivative of -11*d**4/42 + 2*d**3/3 - 3*d**2/7 - d + 2. Suppose l(z) = 0. Calculate z.
3/11, 1
Let p(x) be the third derivative of -1/132*x**4 + 1/330*x**5 + 0 + x**2 + 0*x + 1/660*x**6 - 1/1155*x**7 + 0*x**3. Let p(a) = 0. Calculate a.
-1, 0, 1
Let r be -6*4/(-66) - 264/1452. Factor -2/11 - 2/11*p**3 + r*p**2 + 2/11*p.
-2*(p - 1)**2*(p + 1)/11
Let x(r) be the third derivative of -1/735*r**7 + 0*r**3 - 1/210*r**6 + 0*r + 7*r**2 + 0*r**4 + 0 - 1/210*r**5. Solve x(i) = 0.
-1, 0
Let o(n) = -n**2 - 10*n - 7. Suppose 0 = -5*a - 29 - 16. Let u be o(a). Determine q so that -10/9*q + 10/9*q**4 + 20/9*q**u - 2/9*q**5 - 20/9*q**3 + 2/9 = 0.
1
Factor -9/2*l**5 + 2*l**2 + 4*l**3 - 3/2*l**4 + 0*l + 0.
-l**2*(l - 1)*(3*l + 2)**2/2
Let v(n) be the third derivative of -n**8/70560 + n**7/17640 + n**6/1260 - n**5/12 + 2*n**2. Let h(x) be the third derivative of v(x). Factor h(q).
-2*(q - 2)*(q + 1)/7
Suppose -4*t + 28 = 4*c, -4*c + 20 = 3*t - 5. Let i be c + 2/4*-2. Factor 1 + i + r - r**2 - 2.
-(r - 2)*(r + 1)
Factor 18/7*v + 3/7*v**2 + 27/7.
3*(v + 3)**2/7
Let g(z) = -32*z**3 + 112*z**2 - 44*z + 12. Let d(l) = -96*l**3 + 336*l**2 - 133*l + 35. Let a(j) = -6*d(j) + 17*g(j). Factor a(k).
2*(k - 3)*(4*k - 1)**2
Let t = -26/3 + 10. Let q be (-4)/6 + (2 - 0). Factor -t*n + q + 1/3*n**2.
(n - 2)**2/3
Let k(q) be the second derivative of q**7/63 - 2*q**5/15 - q**4/9 + q**3/3 + 2*q**2/3 + 7*q. Let k(n) = 0. What is n?
-1, 1, 2
Let v = 98/9 + -668/63. Suppose 2*x - 6 = -x. Let -2/7*q**x + v*q - 2/7*q**3 + 2/7 = 0. What is q?
-1, 1
Let d(o) = o**2 - 1. Let p be d(-2). Suppose n + n - 1 + p*n**2 - 4*n**2 =