(d) = 0.
-1, 1, 2
Let t(b) be the second derivative of -b**7/1050 - b**6/300 + b**5/100 - 51*b**2/2 - 10*b. Let l(c) be the first derivative of t(c). Factor l(v).
-v**2*(v - 1)*(v + 3)/5
Let r(n) = 3*n**2 - 3*n - 4. Let p be r(-1). Solve 2*o + o**2 - 4*o**2 - 18*o + o**p = 0 for o.
-8, 0
Let c(o) be the third derivative of o**6/30 + o**5 - 17*o**4/3 - 135*o**2. Factor c(g).
4*g*(g - 2)*(g + 17)
Suppose -16*p + 19*p = -w - 9, -2*p - 6 = -3*w. Suppose 0*l + w*l**2 + 0 - 1/2*l**3 + l**4 - 1/2*l**5 = 0. What is l?
0, 1
Factor 2/3*c**2 - 44/3*c + 0.
2*c*(c - 22)/3
Let v(b) = b**3 - 7*b**2 + 4*b - 7. Let x be v(7). Let u = x - 83/4. Factor u*y**3 + 1 + 2*y + 5/4*y**2.
(y + 1)*(y + 2)**2/4
Let n(t) = -8*t**2 - 1. Let y be n(1). Let p = -4 - y. Find u, given that 4 + 7*u - 3*u**3 - u + p*u**3 - 4*u**3 = 0.
-1, 2
Suppose -j + 3*j = 2*b - 4, -4*b + 8 = -j. Solve -3*x**4 - 10*x**b + 5*x**3 + 0*x**2 + 4*x**2 + 4*x**3 = 0 for x.
0, 1, 2
Let s(h) be the second derivative of -h**6/180 + 7*h**5/30 - 49*h**4/12 - 5*h**3/3 + 7*h. Let u(y) be the second derivative of s(y). Factor u(o).
-2*(o - 7)**2
Let r(f) = 14*f**3 + 21*f**2 + 3*f - 4. Let v = -3 - 14. Let w(x) = -5*x**3 - 7*x**2 - x + 1. Let t(d) = v*w(d) - 6*r(d). Factor t(g).
(g - 7)*(g - 1)*(g + 1)
Let u = 76 + -65. Suppose -3 = n + 3*d, -d + u = n - 5*d. Suppose 1/2*b**n + 1/6*b - 1/6*b**4 - 1/2*b**2 + 0 = 0. Calculate b.
0, 1
Suppose 60 = 5*o - 2*z, -5*o + 24 = -3*o + 3*z. Let i = -9 + o. Factor 4*w**3 - 3*w**i + 0*w**3 - 3*w**2 + 2*w**3.
3*w**2*(w - 1)
Let u be 62 + (-6)/(-9)*3. Let -28*a - a - 12*a**3 + 28*a**5 + 8*a - 64*a**2 + 5*a + u*a**4 = 0. Calculate a.
-2, -1, -2/7, 0, 1
Let m = 13159/3 + -4386. Factor m*t**4 + 1/3*t**3 + 0 - 4/3*t - 4/3*t**2.
t*(t - 2)*(t + 1)*(t + 2)/3
Factor -12*c - 9/2 + 3*c**3 + 9/8*c**2.
3*(c - 2)*(c + 2)*(8*c + 3)/8
Factor -32/3*x + 1/3*x**2 + 31/3.
(x - 31)*(x - 1)/3
Let o(c) = -2 - 2*c**3 + 5 - 5 - 2*c**3. Let k be o(-2). Factor 3*v**5 + 18*v**4 - 7*v - 12*v**2 - k*v**5 - 5*v + 33*v**3.
-3*v*(v - 1)**2*(3*v + 2)**2
Factor 100*h**3 + 98*h**3 + 0*h**4 + 5*h**4 + 27*h**3 + 115*h**3.
5*h**3*(h + 68)
Let l = 509 - 104. Suppose -l = -27*c + 12*c. What is g in 9/2*g**5 - 6*g**4 + 6*g + c*g**2 - 12 - 39/2*g**3 = 0?
-2, -2/3, 1, 2
Let w = 52497/2 + -26247. Factor -1/2*s - w*s**2 + 3/2 + 1/2*s**3.
(s - 3)*(s - 1)*(s + 1)/2
Let b(x) be the second derivative of -15/2*x**4 + 10*x**3 + 20*x**2 - 16*x + 0 + 5/4*x**5. Determine s, given that b(s) = 0.
-2/5, 2
Let z = -1479 + 1481. Factor 0 - r**z + 1/2*r**3 + 1/2*r.
r*(r - 1)**2/2
Factor 0*c**2 - 1/3*c**3 + 1/3*c + 0.
-c*(c - 1)*(c + 1)/3
Let z be 1818/(-101) - (-110)/5. Determine k so that 5*k**2 - 5/2 + 0*k**3 + 0*k - 5/2*k**z = 0.
-1, 1
Let i = -42 - -44. Suppose 2*q - i*x = 6, -5*x + 8 = -q + 3. Determine g, given that 0*g + 0*g**2 + 4/9*g**4 + 0 + 2/9*g**q + 0*g**3 = 0.
-2, 0
Let x(r) = -9*r + 60. Let z be x(6). Let m(i) be the second derivative of 0 + 3/20*i**5 + z*i + 1/2*i**3 - 1/2*i**4 + 0*i**2. Factor m(p).
3*p*(p - 1)**2
Let p be (-80)/96 - 345/(-270). Factor -32/9*r + p*r**2 + 28/9.
4*(r - 7)*(r - 1)/9
Suppose -4*c = 2*v - 12, -5*v - 6 = -2*c - 0*v. Factor d**3 + 3*d + d**2 + 2 - 2*d**2 - 4*d**c + 0*d**3 - d**4.
-(d - 1)*(d + 1)**2*(d + 2)
Let g(z) be the third derivative of -z**7/2520 + z**6/216 - z**5/90 - 49*z**3/6 + 15*z**2. Let c(v) be the first derivative of g(v). Factor c(n).
-n*(n - 4)*(n - 1)/3
Let p(r) be the second derivative of 1/18*r**4 - 2/27*r**3 - 1/90*r**5 + 0 - 19*r + 0*r**2. Factor p(x).
-2*x*(x - 2)*(x - 1)/9
Suppose 0 = 3*z - 5*z + 6. Factor 4/5*s**2 + 14/5*s + 8/5 - 2/5*s**z.
-2*(s - 4)*(s + 1)**2/5
Let f(b) be the first derivative of b**4/27 - b**3/9 + b**2/9 + 12*b + 40. Let v(i) be the first derivative of f(i). Factor v(a).
2*(a - 1)*(2*a - 1)/9
Suppose 0 = 2*d - 0*d. Suppose d*j = 3*j - 24. Factor 34*w**2 - 4 + j*w**3 + 6 + 0*w**3 + 40*w + 6.
2*(w + 2)**2*(4*w + 1)
Determine f so that 4/3*f**2 + 64/15*f + 64/15 + 2/15*f**3 = 0.
-4, -2
Let x(v) be the first derivative of -v**5/50 - v**4/10 - v**3/5 - v**2/5 - 14*v - 14. Let j(a) be the first derivative of x(a). Factor j(b).
-2*(b + 1)**3/5
Let w(m) be the third derivative of 2/3*m**3 + 17/60*m**4 + 4/75*m**5 + 12*m**2 + 0*m + 1/300*m**6 + 0. Factor w(n).
2*(n + 1)*(n + 2)*(n + 5)/5
Let n(x) be the third derivative of -5*x**2 + 11/72*x**4 + 0*x - 1/20*x**5 + 0 - 1/9*x**3. Factor n(j).
-(j - 1)*(9*j - 2)/3
Factor -2/5*p**3 + 162/5*p**2 - 4374/5*p + 39366/5.
-2*(p - 27)**3/5
Let m(s) be the first derivative of -s**6/120 - s**5/30 + s**4/24 + s**3/3 + 9*s**2 + 23. Let i(t) be the second derivative of m(t). Let i(p) = 0. What is p?
-2, -1, 1
Let v = -23901 + 23901. Factor 8/9 - 2/9*q**2 + v*q.
-2*(q - 2)*(q + 2)/9
Let p(i) be the third derivative of i**7/2100 + i**6/300 + i**5/100 + i**4/60 + 3*i**3/2 + 4*i**2. Let n(r) be the first derivative of p(r). Factor n(s).
2*(s + 1)**3/5
Let b = 3 - 2. Let l = 1 + b. Factor 11*x - 2*x + 4*x**l - x**2.
3*x*(x + 3)
Let d(b) be the first derivative of b**8/840 - b**7/420 - b**6/45 + b**5/15 - 22*b**3/3 + 14. Let j(v) be the third derivative of d(v). Factor j(n).
2*n*(n - 2)*(n - 1)*(n + 2)
Let a = 4/181 - -101/3620. Let z(t) be the second derivative of 0 - 1/12*t**4 + 1/30*t**6 - 7*t + a*t**5 + 0*t**2 - 1/6*t**3. Factor z(m).
m*(m - 1)*(m + 1)**2
Let n(p) be the first derivative of -p**4/120 + p**3/6 - 5*p**2/4 + 10*p + 16. Let c(r) be the first derivative of n(r). Factor c(o).
-(o - 5)**2/10
Let p(x) be the first derivative of -x**6/24 - 7*x**5/4 - 321*x**4/16 - 221*x**3/12 + 289*x**2/4 + 41. Find q, given that p(q) = 0.
-17, -2, 0, 1
Let w(d) be the second derivative of 56/33*d**3 - 71/110*d**5 - 4/55*d**6 - 16*d + 12/11*d**2 + 5/22*d**4 + 0. Suppose w(y) = 0. What is y?
-6, -2/3, -1/4, 1
Let b = 2074 - 6221/3. What is m in 0 + 0*m + 2/3*m**3 + b*m**2 = 0?
-1/2, 0
Let t be -2 + (-54)/(-21) + 292/(-560). Let d(u) be the third derivative of t*u**5 + 3/8*u**4 + 1/210*u**7 + 0 + 0*u - 7*u**2 - 1/24*u**6 + 0*u**3. Factor d(k).
k*(k - 3)**2*(k + 1)
Suppose -d = 3*s - 10, -s + 5 = d + 3. Let c(u) be the first derivative of 12/25*u**5 - 1 + 4/15*u**6 + 6/5*u**2 - u**s - 4/3*u**3 + 8/5*u. Solve c(t) = 0.
-2, -1, -1/2, 1
Let f(p) be the first derivative of -81*p**7/14 - 99*p**6/5 - 471*p**5/20 - 11*p**4 - 2*p**3 + 8*p + 15. Let h(l) be the first derivative of f(l). Factor h(s).
-3*s*(s + 1)**2*(9*s + 2)**2
Let d be 2 - 1 - 2 - (0 - 5). Let y(l) be the second derivative of 2/9*l**2 - 3*l - 1/90*l**5 - 5/27*l**3 + 0 + 2/27*l**d. Factor y(h).
-2*(h - 2)*(h - 1)**2/9
Let w be 12/(-9) - 575/(-69). Let d(s) be the second derivative of 0*s**2 + 2/105*s**w + 2/15*s**3 + 0*s**6 + 0*s**4 + 0 - 2/25*s**5 + 5*s. Factor d(o).
4*o*(o - 1)**2*(o + 1)**2/5
Suppose 9*d + 4 = 8*d. Let m(v) = -2*v - 4. Let y be m(d). Suppose 4*u**3 - 13*u**4 - y*u + 11*u**4 + u**4 - 2*u**2 + 3*u**4 = 0. Calculate u.
-2, -1, 0, 1
Let t(m) be the second derivative of m**4/28 - 13*m**3/14 - 3*m**2 - 61*m. Determine l so that t(l) = 0.
-1, 14
Find v, given that 18*v**4 + 1186*v + 56*v**2 + 24*v**3 - 1170*v + 36*v**3 = 0.
-2, -2/3, 0
Let a be (-55)/(-44) + 2/(-8). Let i(t) = -t**3 + 5*t**2 - t. Let w be i(4). Factor 0 + w*h - 19 - 2*h**2 + a.
-2*(h - 3)**2
Let a(u) = -u**2 + 19*u + 15. Let w be a(12). Determine j so that -105*j + w*j - 2 - 2 + 2*j**3 = 0.
-1, 2
Let p(d) be the third derivative of -d**6/360 + d**5/90 + d**4/8 - d**3 + d**2. Suppose p(f) = 0. What is f?
-3, 2, 3
Let v = 116 + -77. Let 0*m**3 + 25*m - 4*m**2 + 6 + 15*m**3 - 1 + v*m**2 = 0. Calculate m.
-1, -1/3
Let u = -807/50 - -62147/1050. Let w = 130/3 - u. Find c, given that -4/7 - 6/7*c - w*c**2 = 0.
-2, -1
Let h = -130 - -135. Let k(s) be the second derivative of 1/45*s**6 + 0 + 4/75*s**h + 2/45*s**4 + 0*s**3 - 7*s + 0*s**2 + 1/315*s**7. Factor k(g).
2*g**2*(g + 1)*(g + 2)**2/15
Let f(r) be the third derivative of 1/450*r**5 - 5*r**2 + 0*r**3 + 0*r**4 - 2/1575*r**7 + 0*r + 1/900*r**6 + 0. Let f(d) = 0. Calculate d.
-1/2, 0, 1
Factor 160/7*x**2 + 78/7*x**3 + 4/7 + 86/7*x.
2*(x + 1)**2*(39*x + 2)/7
Suppose 0*i + n + 5 = i, 4*i = -n. Let g = i - -4. Factor g*s**4 + 4*s**4 - 3*s - 6*s**4 + 9*s**3 + 3*s**4.
3*s*(s + 1)**2*(2*s - 1)
Factor -58*j**3 - 2*j + 11*j**2 + 3*j + 69*j**3 - 2 + 3*j**4.