(r) be the third derivative of y - 1/12*r**4 + 0*r + 4*r**2 - 1/6*r**3 + 7/60*r**5 - 1/30*r**6. Find l such that c(l) = 0.
-1/4, 1
Let r be (-8)/(-3)*(-34)/(4624/(-153)). Factor -4/5*k**r - 44/5*k + 4/5*k**4 - 36/5*k**2 - 16/5.
4*(k - 4)*(k + 1)**3/5
Suppose -2*j = 5*k + 2 - 0, -k - 22 = -5*j. Let m(g) be the first derivative of -3/4*g**4 - 21/2*g**2 + 9*g + j + 5*g**3. Let m(c) = 0. Calculate c.
1, 3
Let g be 8/3 + (-4)/6. Factor 54 + 21*s**3 + 225*s + 21*s**2 - 5*s**2 + 20*s**g + 96*s**2.
3*(s + 3)**2*(7*s + 2)
Let x be 4275/350 + (-2)/(-7). Factor x + 5/2*u + 1/8*u**2.
(u + 10)**2/8
Let y(r) be the third derivative of r**7/210 - r**6/40 - 7*r**5/10 - 25*r**4/6 - 12*r**3 + 2*r**2 - 208*r. Determine w, given that y(w) = 0.
-2, 9
Let -4*p**5 - 225 + 225 + 7*p**4 - 16*p**2 - 23*p**4 - 24*p**3 - 4*p = 0. Calculate p.
-1, 0
Let v = -6029141/116 + 51976. Let r = v - -3/29. Solve -1/4*g**4 + r*g**2 + 0 + 1/2*g + 0*g**3 = 0.
-1, 0, 2
Suppose -36*k + 348*k - 48*k = 792. Factor 0*m**2 + 12/7*m**k - 16/7*m - 4/7*m**4 + 0.
-4*m*(m - 2)**2*(m + 1)/7
Let x(l) be the third derivative of -l**8/1176 + l**7/735 + l**6/210 + 4*l**2 + 143. Factor x(g).
-2*g**3*(g - 2)*(g + 1)/7
Let j(o) be the third derivative of o**8/16800 - o**6/600 - o**5/150 + 2*o**4/3 - 9*o**2. Let l(s) be the second derivative of j(s). What is k in l(k) = 0?
-1, 2
Let k = -6 - -10. Suppose -5*o + 14 = k. Find y, given that 16*y**5 + 60*y**3 + 4*y + 15*y**4 - 11*y**2 - 7*y**2 - 67*y**4 - 10*y**o = 0.
0, 1/4, 1
Let t = 10 - -6. Let r(f) = -26*f**2 - 80*f - 144. Let x(l) = 5*l**2 + 16*l + 29. Let v(u) = t*x(u) + 3*r(u). Find a such that v(a) = 0.
-4
Suppose 2*b - 4 = 3*i, -22*b = -4*i - 18*b - 8. Let k(v) be the first derivative of -v**4 - 2*v**2 - 12/5*v**5 + 1 + 4/3*v**6 + 4*v**3 + i*v. Solve k(w) = 0.
-1, 0, 1/2, 1
Let a(k) be the third derivative of 25*k**8/112 + 467*k**7/42 + 61*k**6/24 - 31*k**5/12 - 56*k**2. Let a(d) = 0. Calculate d.
-31, -1/3, 0, 1/5
Let t(j) be the second derivative of -j**7/8820 - j**6/2520 + j**5/210 - 9*j**4/4 + 8*j. Let z(x) be the third derivative of t(x). Factor z(c).
-2*(c - 1)*(c + 2)/7
Let n(h) be the second derivative of -2*h - 1/40*h**5 - 1/12*h**4 + 1/2*h**2 + 1/12*h**3 + 0. Factor n(m).
-(m - 1)*(m + 1)*(m + 2)/2
Suppose 5*u - 16 + 6 = 0. Let h(v) = -12*v + 207. Let g be h(17). Let g*j**2 + 31*j + 0*j**u + 3 - 25*j + 0*j**2 = 0. Calculate j.
-1
Suppose -5*l + 7 = t, -3*t + 2 = 2*l - 6. Determine x so that 10*x**4 - 25*x - 91*x**3 + 5*x**5 + 70*x**t - 68*x**3 + 99*x**3 = 0.
-5, 0, 1
Let f = -665 + 670. Let n(w) be the third derivative of -4/525*w**7 + 0*w - 13/150*w**f - 1/15*w**3 + 0 - 5*w**2 - 1/10*w**4 - 1/25*w**6. Factor n(h).
-2*(h + 1)**2*(2*h + 1)**2/5
Suppose -6 = 2*b - 26. Let g = -7 + b. Factor -4/7*z + 0*z**2 + 4/7*z**g - 2/7*z**4 + 2/7.
-2*(z - 1)**3*(z + 1)/7
Let w be (0/(-1))/(-4 + 2). Let j(l) = l**3 + 85*l**2 - 85*l + 86. Let c be j(-86). Factor c*z + w - 1/4*z**2.
-z**2/4
Let s(r) be the second derivative of 3*r**5/80 + 15*r**4/16 + 6*r**3 + 33*r**2/2 + 359*r. Suppose s(d) = 0. Calculate d.
-11, -2
Let i be ((-45)/2)/(-9)*(-48)/(-2). Suppose -6*d + i = 42. Find z, given that -14/17*z - 2/17*z**d + 10/17*z**2 + 6/17 = 0.
1, 3
Let z(r) be the second derivative of -3*r**5/100 - 21*r**4/20 + 48*r**3/5 - 30*r**2 - 704*r. Factor z(k).
-3*(k - 2)**2*(k + 25)/5
Suppose 871*d + 83 = 982*d - 139. Factor -27/4*p**d + 3/8*p**4 - 15 - 3/8*p**3 + 39/2*p.
3*(p - 2)**3*(p + 5)/8
Factor -50/7*h**2 + 2/7*h**3 + 0*h + 0.
2*h**2*(h - 25)/7
Determine k so that -118*k**2 - k**3 + 16*k**2 + 21*k**2 - 90*k**2 - 3249*k - 20577 - 2*k**3 = 0.
-19
Suppose 5*u + 13 = 33. Let x(q) be the second derivative of 1/6*q**u + 5*q + 0 + 5/12*q**3 + 1/2*q**2 + 1/40*q**5. Let x(y) = 0. What is y?
-2, -1
Let y(f) = 3*f**5 + 7*f**4 + 20*f**3 + 20*f**2 + 6*f. Let b(l) = -4*l**5 - 7*l**4 - 21*l**3 - 20*l**2 - 5*l. Let n(k) = 2*b(k) + 3*y(k). Factor n(m).
m*(m + 1)*(m + 2)**3
Let r = 26/7 + -24/7. Suppose 0*v - r*v**4 + 0 - 4/7*v**2 + 6/7*v**3 = 0. What is v?
0, 1, 2
Let y(n) = n**3 + 6*n**2 + 5*n - 4. Let z be y(-4). Find k such that 0*k**3 - z*k**4 + 6*k + 9*k**2 + 2*k**4 - 9*k**3 = 0.
-2, -1/2, 0, 1
Let u(i) be the third derivative of 3/4*i**4 - 49*i - 1/20*i**5 + 0 - 4*i**3 + i**2. Solve u(y) = 0 for y.
2, 4
Let q(z) be the third derivative of z**9/90720 + z**8/5040 + z**7/840 + z**6/270 - z**5/30 + 12*z**2. Let k(n) be the third derivative of q(n). Solve k(v) = 0.
-4, -1
Suppose 3*j + k = -58, -3*j - 5 = -2*k + 41. Let q be j*(14/15 - 1). Suppose 3/5*c**2 - q*c - 9/5 = 0. What is c?
-1, 3
Let j(p) be the first derivative of -p**3/3 + 118*p**2 - 13924*p + 287. Let j(y) = 0. Calculate y.
118
Solve 3/5*d**4 - 93/5*d**2 + 108/5*d + 0 - 18/5*d**3 = 0 for d.
-4, 0, 1, 9
Let s(r) be the second derivative of -r**5/80 - 25*r**4/96 + 7*r**3/24 + 13*r**2/16 + 7*r - 4. Factor s(n).
-(n - 1)*(n + 13)*(2*n + 1)/8
Let g(t) be the first derivative of 0*t**3 - 1/160*t**6 + 1 - 3/2*t**2 + 0*t**4 + 1/80*t**5 + 0*t. Let a(u) be the second derivative of g(u). Factor a(o).
-3*o**2*(o - 1)/4
Let d(l) be the second derivative of -l**4/18 - 22*l**3/9 + 23*l**2/3 - 31*l. Let d(h) = 0. Calculate h.
-23, 1
Let d(g) be the first derivative of g + 7 - 5/6*g**4 - 1/10*g**5 - 4*g**2 - 8/3*g**3. Let f(r) be the first derivative of d(r). Factor f(h).
-2*(h + 1)*(h + 2)**2
Let y(t) be the first derivative of t**5 - 45*t**4/2 + 100*t**3 - 140*t**2 + 501. Determine q, given that y(q) = 0.
0, 2, 14
Let u(o) be the second derivative of -3*o**5/20 - 7*o**4/4 - 15*o**3/2 - 27*o**2/2 + 7*o + 10. Factor u(z).
-3*(z + 1)*(z + 3)**2
Let f = -213 + 3197/15. Let k = 1712 - 1708. Factor f*c**3 - 2/15*c**5 + 0*c - 2/15*c**k + 2/15*c**2 + 0.
-2*c**2*(c - 1)*(c + 1)**2/15
Let u(f) be the first derivative of -f**2/2 - f - 20. Let n(t) = -3*t**3 - 9*t**2 - 9*t - 3. Let d(r) = n(r) - 3*u(r). What is z in d(z) = 0?
-2, -1, 0
Let h(r) be the second derivative of -r**7/210 + r**6/75 + 17*r**5/100 - 7*r**4/6 + 46*r**3/15 - 4*r**2 - 189*r. Factor h(q).
-(q - 2)**3*(q - 1)*(q + 5)/5
Let h = -51 - -57. Let t be ((-245)/75 - -3)/((-4)/h). Suppose t - 2/5*z**2 + 0*z = 0. Calculate z.
-1, 1
Let w(d) be the first derivative of d**6/2 - 57*d**5/5 + 369*d**4/4 - 301*d**3 + 294*d**2 + 258. Suppose w(q) = 0. Calculate q.
0, 1, 4, 7
Let u(v) be the third derivative of -v**6/24 + 15*v**4/8 - 11*v**2 + 5*v. Suppose u(l) = 0. Calculate l.
-3, 0, 3
Let i = -89 + 109. What is y in -15*y**3 + 0*y**2 + 5*y**4 - 28*y - i*y**2 + 28*y = 0?
-1, 0, 4
Let -r + 18 + 4*r**2 + 22*r - 15*r**2 + 14*r**2 = 0. What is r?
-6, -1
Suppose -n + 4 = 0, 3*y = -5*n + 7 + 28. Factor -9*b**3 + y*b**3 + 10*b**2 + 6*b**3 + 8*b.
2*b*(b + 1)*(b + 4)
Let l(b) = 2*b**3 + 10*b**2 - 8*b - 4. Let k(h) = -h**2 + h. Let s be ((-3)/(-9))/(2/(-12)). Let v(z) = s*l(z) - 12*k(z). Let v(o) = 0. What is o?
-2, -1, 1
Let q = 1303/76 - 321/19. Let b be 6/8*(-4)/(-6). Let 3/4*z**2 - b - 1/4*z - 1/4*z**4 + q*z**3 = 0. What is z?
-1, 1, 2
Suppose -3*k + 6 = 2*u - 0, -4*k + 8 = 4*u. Factor -6 - 3*l - l**k + 5 + 6*l + 5*l**2.
(l + 1)*(4*l - 1)
Determine d so that -8 + 8/7*d + 2/7*d**4 + 6*d**2 - 20/7*d**3 = 0.
-1, 2, 7
Factor 250/7*h**3 - 23704704/7 - 34200/7*h**2 + 1559520/7*h.
2*(5*h - 228)**3/7
Determine l so that 0 + 61/4*l**3 - 4*l - 7/4*l**4 - 19/2*l**2 = 0.
-2/7, 0, 1, 8
Let q(b) be the third derivative of 0*b + 1/75*b**7 + 0 + 36*b**2 + 1/50*b**5 + 1/25*b**6 - 1/30*b**4 + 0*b**3. Factor q(n).
2*n*(n + 1)**2*(7*n - 2)/5
Factor 4*w**4 + 8*w**5 - 5*w**2 - 2*w**3 - 4*w**5 - 2*w**2 + 3*w**2 - 2*w**3.
4*w**2*(w - 1)*(w + 1)**2
Let d(l) be the third derivative of -1/420*l**5 + 18*l**2 + 1/168*l**4 + 0*l + 1/21*l**3 + 0. Factor d(f).
-(f - 2)*(f + 1)/7
Suppose 9*y = -y. Suppose 0 = 2*u - 4*m - 12, -3*u + 16 = -y*u - 4*m. Find t, given that -16/3*t**2 + 64/9*t + 16/9*t**3 - 32/9 - 2/9*t**u = 0.
2
Factor -400*v**3 - 12*v**2 + 398*v**3 + 0*v**2.
-2*v**2*(v + 6)
Let q(y) be the third derivative of 0*y + 1/120*y**5 - 1/24*y**4 + 1/12*y**3 - 7*y**2 + 0. Factor q(d).
(d - 1)**2/2
Suppose -f + 2*q = -17, -f + 4*q + 47 = 2*f. Solve -5*v**4 + 25*v + 51*v**2 - 25*v**3 + f + 7 - 66*v**2 = 0 for v.
-4, -1, 1
Let c = 197 + -207. Let m be c/(-10) - 3/(-3). Factor -2/3*a**m - 1/3 + a.
-(a - 1)*(2*a - 1)/3
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