**3/12 + 15*o**2 - 6*o. Let d(g) be the first derivative of l(g). Factor d(q).
-(q - 1)*(q + 1)/2
Let k(g) = -5*g**3 + 18*g**2 - 35*g + 22. Let m(f) = 5*f**3 - 19*f**2 + 35*f - 21. Let o(h) = 6*k(h) + 7*m(h). Let o(y) = 0. Calculate y.
1, 3
Suppose -4*v = -4*j + 5416, -4*j - 4*v + 4034 = -j. Suppose -j*u**2 + 8*u**3 - u**4 - 3*u**4 - 32*u + 1366*u**2 = 0. Calculate u.
-2, 0, 2
Let -98/5 + 26/5*m**2 + 14*m + 2/5*m**3 = 0. Calculate m.
-7, 1
Let d(y) = -y**3 - 7*y**2 - 5*y + 8. Let w be d(-6). Determine r, given that -127*r + w*r**2 - 3*r**3 + 13*r**2 + 115*r = 0.
0, 1, 4
Let b(i) be the first derivative of 2 - 6*i**2 - 1/3*i**3 - 36*i. Determine w, given that b(w) = 0.
-6
Let x(m) = m**2 - 59*m + 4. Let o(b) = -3*b**2 + 117*b - 9. Let a(h) = -4*o(h) - 9*x(h). Factor a(s).
3*s*(s + 21)
Let y = -5 - -1. Let i(q) = -4*q**3 - 3*q**2 - 7*q + 9. Let g(u) = -u**3 - u**2 + 1. Let k(s) = y*i(s) + 20*g(s). Determine f, given that k(f) = 0.
-4, 1
Let b(u) be the third derivative of -u**6/360 + 2*u**5/45 - 5*u**4/18 + 8*u**3/9 + 3*u**2 - 7*u. What is k in b(k) = 0?
2, 4
Let x(r) be the first derivative of r**4/2 + 8*r**3/3 + 5*r**2 + 4*r - 34. Factor x(n).
2*(n + 1)**2*(n + 2)
Factor 2/15*x**5 - 18/5 - 18/5*x - 14/15*x**4 + 12/5*x**2 + 4/3*x**3.
2*(x - 3)**3*(x + 1)**2/15
Let q(m) be the third derivative of 0*m - 1/100*m**5 - 1/8*m**4 - 20*m**2 - 3/5*m**3 + 0. Factor q(k).
-3*(k + 2)*(k + 3)/5
Let h(q) be the second derivative of 7*q**4/36 + 47*q**3/18 - 7*q**2/3 + 239*q + 1. Let h(w) = 0. Calculate w.
-7, 2/7
Suppose -x - 27 = -3*l, l + 1 = -3*x - 0*x. Let m = l - 5. Solve 2/9*q**m - 2/3*q**2 - 2/9 + 2/3*q = 0.
1
Let m(r) = -r - 1. Let p be m(-3). Factor -p*f**2 + f + f**4 - 6*f**3 + 4 + 6*f - 3*f**4 - f.
-2*(f - 1)*(f + 1)**2*(f + 2)
Let x(n) = -14*n**2 - 27*n + 1. Let i(b) = 3*b - 2*b + 4*b - 51*b**2 + 4*b + 56*b**2. Let v be 2 - 1/(2/(-4)). Let g(q) = v*x(q) + 14*i(q). Factor g(h).
2*(h + 1)*(7*h + 2)
Let y(x) = x**3 + 7*x**2 + 25*x - 3. Let r(j) = -j**3 - 10*j**2 - 26*j + 2. Let i(d) = 6*r(d) + 7*y(d). Let i(f) = 0. What is f?
1, 9
Let s = -256 - -515/2. Factor -s*a**2 + 0*a + 3/2.
-3*(a - 1)*(a + 1)/2
Let y(r) = -3*r + 35. Let x = 39 - 28. Let q be y(x). Solve -2/3 - 7*l**3 - 3/2*l**4 - 14/3*l - 61/6*l**q = 0.
-2, -1/3
Find g such that 50*g**5 - 549*g**4 - 33*g**5 - 2*g**5 - 792*g**3 - 228*g**2 = 0.
-1, -2/5, 0, 38
Solve -100*s**2 + 197*s**2 - 1080*s - 102*s**2 - 58320 = 0 for s.
-108
Factor 38*d**2 - 190/3*d + 100/3 + 2/3*d**4 - 26/3*d**3.
2*(d - 5)**2*(d - 2)*(d - 1)/3
Let -44/17*c**2 - 648/17 + 18*c + 2/17*c**3 = 0. Calculate c.
4, 9
What is i in -i**2 + 2*i**3 + 4*i**2 + 48*i + 13*i**2 + 4*i**2 = 0?
-6, -4, 0
Let w(g) be the third derivative of g**8/504 + 4*g**7/105 + 11*g**6/45 + 7*g**5/9 + 17*g**4/12 + 14*g**3/9 - 3*g**2 - 42*g. Factor w(a).
2*(a + 1)**3*(a + 2)*(a + 7)/3
Suppose -2*p + 0*p = -5*x + 11, 5*p - 25 = -5*x. Determine o so that 51*o**5 - p*o**3 + 12*o**2 - 50*o**5 + 6*o**4 + 3*o + 15*o**3 + o = 0.
-2, -1, 0
Let y(u) be the first derivative of -u**4/16 - u**3/12 + 5*u**2/8 - 3*u/4 - 98. Suppose y(q) = 0. Calculate q.
-3, 1
Solve 26*m**2 - m**3 - 4*m**2 - 4*m**2 - m**3 + 5*m**3 = 0 for m.
-6, 0
Let h(y) be the second derivative of y**6/72 - y**5/8 + 5*y**4/12 - 8*y**3/3 + 22*y. Let j(m) be the second derivative of h(m). Let j(t) = 0. Calculate t.
1, 2
Let p(l) = l**2 - 4*l - 184. Let g be p(-12). Factor -49/2*y**2 - g - 28*y.
-(7*y + 4)**2/2
Factor 11/4*w**2 - 21/4 - 1/8*w**3 - 19/8*w.
-(w - 21)*(w - 2)*(w + 1)/8
Let m = -1582 + 1592. Let f(z) be the first derivative of 0*z + 1/14*z**4 + 4/21*z**3 - m + 1/7*z**2. Suppose f(a) = 0. Calculate a.
-1, 0
Let i(d) be the third derivative of 0*d**6 + 3*d**2 - 2/3*d**5 + 1/42*d**7 + 40/3*d**3 + 5 + 0*d + 0*d**4. Factor i(c).
5*(c - 2)**2*(c + 2)**2
Let g(y) be the second derivative of -y**5/70 - y**4/42 + 4*y**3/21 + 4*y**2/7 + 95*y. Find d, given that g(d) = 0.
-2, -1, 2
Let h(d) be the third derivative of 1/50*d**7 + 1/100*d**6 - 1/20*d**4 + 0*d**3 + 3*d**2 + 0 + 0*d - 7/100*d**5. What is i in h(i) = 0?
-1, -2/7, 0, 1
Let n be (-1290)/(-12) + -2 + (-14)/(-4). Let l = 111 - n. Factor 0 + 2*d**3 + 4/3*d**l - 2/3*d**5 + 0*d**4 + 0*d.
-2*d**2*(d - 2)*(d + 1)**2/3
Let v be (8/(-10))/(114/(-285)). Factor 9/4 + 3/4*m**v + 3*m.
3*(m + 1)*(m + 3)/4
Suppose 93*q = 24 + 162. Determine m, given that -1/11*m**3 - 2/11*m + 3/11*m**q + 0 = 0.
0, 1, 2
Let t(c) be the third derivative of c**7/315 - 2*c**6/45 + 23*c**5/90 - 7*c**4/9 + 4*c**3/3 - 533*c**2. Factor t(i).
2*(i - 3)*(i - 2)**2*(i - 1)/3
Let j = -17070 - -17072. Factor -2/7*n**4 - 18/7*n**2 - j*n - 10/7*n**3 - 4/7.
-2*(n + 1)**3*(n + 2)/7
Let l(o) = o**3 + 4*o**2 - 5*o + 12. Let g be l(-5). Solve 46*s**2 + 0*s**3 - 22*s**2 - 32*s - 4*s**4 + 16 - g*s**2 + 8*s**3 = 0 for s.
-2, 1, 2
Suppose 4*p + 14 = u, 0 = -5*u - 0*u + 4*p + 22. Suppose 2*c = l + 10, -4*c + 10 = -2*c - 3*l. Suppose 7 + 2*n**u - 3*n**2 - c - n = 0. What is n?
-2, 1
Let a(j) be the first derivative of -7 + 1/7*j**2 + 2/21*j**3 + 0*j. Factor a(p).
2*p*(p + 1)/7
Factor 24 + 323*u**2 + 165*u - 6 - 233*u**2 + 62 + 5*u**3.
5*(u + 1)**2*(u + 16)
Let u(l) be the first derivative of 2*l**6/3 + 72*l**5/5 + 97*l**4 + 192*l**3 + 128*l**2 - 184. Find y, given that u(y) = 0.
-8, -1, 0
Let z(w) be the first derivative of 25*w**4/16 + 5*w**3/4 - 9*w**2/8 + w/4 - 264. What is k in z(k) = 0?
-1, 1/5
Let q(d) be the first derivative of 5*d**3/3 + 185*d**2 - 375*d - 200. Factor q(y).
5*(y - 1)*(y + 75)
Let j(o) = -o**5 + o**3 + o**2 - 1. Let f(h) = -2*h**5 - 4*h**4 + 10*h**3 + 2*h**2 - 8*h + 2. Let l(k) = -f(k) - 2*j(k). Let l(c) = 0. What is c?
-2, -1, 0, 1
Suppose 3 = -u + 10. Let w(z) = z - 4. Let v be w(u). Find q, given that -18*q**v + 17*q**2 - q - 4 - 9*q + 15*q**2 = 0.
-2/9, 1
Let u(t) be the third derivative of -t**8/336 + t**7/14 - 3*t**6/4 + 9*t**5/2 - 135*t**4/8 + 81*t**3/2 - 7*t**2 + 3. Suppose u(c) = 0. What is c?
3
Factor 2/7*g**2 - 64/7*g + 62/7.
2*(g - 31)*(g - 1)/7
Let v be -5*(-8 - (-1536)/200). What is d in -2/5*d**2 + 8/5*d - v = 0?
2
Let m(d) be the second derivative of d**5/50 + 3*d**4/10 - d**3/15 - 9*d**2/5 + 106*d. Factor m(v).
2*(v - 1)*(v + 1)*(v + 9)/5
Find t, given that -14/13*t - 4/13 - 2/13*t**4 - 10/13*t**3 - 18/13*t**2 = 0.
-2, -1
Let c be ((-6)/(-15)*2)/((-31)/((-310)/4)). Let -2/3*n**c + 8/3 + 0*n = 0. Calculate n.
-2, 2
Determine m, given that 26/15*m**2 + 0 - 14/15*m + 4/15*m**3 = 0.
-7, 0, 1/2
Let t(w) be the second derivative of -w**6/180 - w**5/10 - 3*w**4/4 + 2*w**3 - 10*w. Let k(z) be the second derivative of t(z). Find n, given that k(n) = 0.
-3
Let g(c) = -6*c + 2. Let j be g(0). Factor -371*d + 2*d**2 - 12 + d**j + 371*d.
3*(d - 2)*(d + 2)
Suppose -2*z = -2, -u + 9*z = 6*z. Let w(b) be the second derivative of 0 + 1/24*b**u + 2*b + 0*b**2 - 1/96*b**4. Determine x, given that w(x) = 0.
0, 2
Let s = 24007/36024 + 3/12008. Solve 2/3*n**3 - 2/3*n + 2/3 - s*n**2 = 0.
-1, 1
Let o(y) = -y**2 - 47*y - 342. Let b be o(-38). Factor b*l + 1/6*l**2 - 2/3.
(l - 2)*(l + 2)/6
Let j be 3*7/(-63)*3*-3. Let z(a) be the first derivative of -1/3*a**2 - 1/2*a**4 + 2/3*a**j + 0*a - 4 + 2/15*a**5. Factor z(i).
2*i*(i - 1)**3/3
Let g(f) be the first derivative of f**4/4 + 2*f**3 + 9*f**2/2 + 4*f - 68. Determine v, given that g(v) = 0.
-4, -1
Let m = 2204 + -2201. Suppose j + 4*j = 10. Factor -1/2*v**5 + j*v**2 - 1/2*v - m*v**3 + 0 + 2*v**4.
-v*(v - 1)**4/2
Let a = 37 - 34. Factor 20*r - 206*r**2 - 16*r**4 + 2*r**a + 246*r**2 + r**4 + 3*r**3.
-5*r*(r - 2)*(r + 1)*(3*r + 2)
Let z be 3 + -1 - (2 + -87). Factor -61*i - 41*i - 5*i**2 + z*i.
-5*i*(i + 3)
Suppose -96*i + 68*i = 0. Let f(n) = -n**3 - 3*n**2 - 4*n - 2. Let d be f(-2). Factor 1/4*b + i - 1/8*b**d.
-b*(b - 2)/8
Let s(r) = -3*r + 17. Let v be s(-12). Suppose -v*m = -54*m. Solve 1/6*u - 1/6*u**3 + 0*u**2 + m = 0.
-1, 0, 1
Let o(x) = x**2 + x. Suppose 2*j = 2, 0 = 3*i - 7*j + 5*j + 5. Let g be o(i). Suppose 0*z + 0 + g*z**3 - 2/7*z**4 + 2/7*z**2 = 0. Calculate z.
-1, 0, 1
Let d(u) = 2*u**2 + 7*u + 9. Let s be d(-6). Suppose 0 = -2*l - 11*l + s. Factor -9*p - 6*p**l + 3/2 + 27/2*p**2.
-3*(p - 1)**2*(4*p - 1)/2
Let i(w) be the third derivative of -1/315*w**7 + 1/90*w**5 + 0*w - 22*w**2 + 0*w**3 + 0*w**6 + 0*w**4 + 0. Let i(