ate w.
-1, 0
Let f(q) = -4*q**2 - 322*q + 4056. Let b(m) = m**2 + 107*m - 1352. Let a(s) = 10*b(s) + 3*f(s). Factor a(u).
-2*(u - 26)**2
Let s be (32/112)/(7/49). Suppose -3*c + 2*n + 21 - 6 = 0, -4*c - 4*n = 0. Determine k, given that 0 - 4/5*k**c - 2/5*k**s + 0*k - 2/5*k**4 = 0.
-1, 0
Let y be 48/54 + (-1)/(-9). Factor a**2 + 0*a**2 + 4 - 6 + y.
(a - 1)*(a + 1)
Let w(n) be the second derivative of -4*n**7/357 - 4*n**6/51 + 3*n**5/170 + 7*n**4/51 - 5*n**3/51 - n + 3. Determine x so that w(x) = 0.
-5, -1, 0, 1/2
Let s(k) be the third derivative of 0*k**3 + 0 + 1/12*k**4 + 0*k + 1/12*k**5 + 7*k**2. Let f(h) = -h**2. Let y(t) = -3*f(t) - s(t). Factor y(o).
-2*o*(o + 1)
Let d = 3409/24 + -142. Let v(k) be the third derivative of 0 + 0*k - 3*k**2 - 1/48*k**4 - d*k**3 - 1/240*k**5. Suppose v(y) = 0. Calculate y.
-1
Let z be (4/110)/((1/2)/((-320)/(-128))). Suppose 3*i = -0*i. Determine y, given that -z*y - 2/11*y**3 + i - 4/11*y**2 = 0.
-1, 0
Let p(x) be the first derivative of -x**3/12 + 181*x**2/4 - 32761*x/4 + 136. Factor p(u).
-(u - 181)**2/4
Let l(a) = a**2 - 9*a + 5. Let b be l(9). Suppose b + o**2 - 5 - o**3 = 0. What is o?
0, 1
Let t(v) = v**3 - 8*v**2 + v + 17. Let q be t(8). Factor -11*g**2 - 32*g - g**3 - q - 24*g + 21*g.
-(g + 1)*(g + 5)**2
Let u(k) be the second derivative of 0*k**3 - 5/42*k**7 + 0*k**2 - 12*k + 0 - 1/4*k**5 + 0*k**4 - 1/3*k**6. Suppose u(b) = 0. Calculate b.
-1, 0
Suppose 102/5*r + 52/5 - 2/5*r**3 + 48/5*r**2 = 0. What is r?
-1, 26
Let i(u) be the second derivative of -2*u**7/21 - 74*u**6/15 - 71*u**5/5 - 35*u**4/3 - 48*u. Factor i(p).
-4*p**2*(p + 1)**2*(p + 35)
Let r(q) be the first derivative of -5*q**3/9 - 35*q**2/6 + 401. Let r(d) = 0. Calculate d.
-7, 0
Suppose -3*p + 28 = -4*h, -41*p - 2*h = -43*p + 16. Factor 0*k - 1/5*k**5 + 1/5*k**2 + 0 - 1/5*k**p + 1/5*k**3.
-k**2*(k - 1)*(k + 1)**2/5
Factor 4/3*u**4 + 0 + 0*u**2 + 4*u**3 - 16/3*u.
4*u*(u - 1)*(u + 2)**2/3
Let d(j) be the third derivative of j**5/30 + 5*j**4/12 - 2*j**3 + j**2 + 19. Solve d(n) = 0.
-6, 1
Let w(q) = -q**2 + 2*q - 1. Let a(v) = -135*v - 147. Let k(b) = -a(b) + 3*w(b). Suppose k(i) = 0. What is i?
-1, 48
Let r = -1937/3 - -651. Let b(j) be the first derivative of -9 - 4/3*j**2 - r*j - 1/9*j**3. Factor b(d).
-(d + 4)**2/3
Let u(r) be the first derivative of r**4/16 + 11*r**3/12 + 19*r**2/8 + 9*r/4 + 119. Suppose u(a) = 0. Calculate a.
-9, -1
Suppose 3*m - 6*f + 2*f - 28 = 0, 2*f = 5*m - 28. Factor 4*t**3 + 17*t + 15*t**2 + m*t**3 - 14*t + t**3 - 27*t**4.
-3*t*(t - 1)*(3*t + 1)**2
Let x = 165 - 163. Let j(i) be the second derivative of -1/3*i**x + 1/60*i**5 + 0*i**4 - 1/6*i**3 + i + 0. Factor j(z).
(z - 2)*(z + 1)**2/3
Suppose 0 = -5*w - 3*h + 4, 3*h + 2 = -w - 2. Let m(j) be the first derivative of -1/4*j**4 + 0*j**3 - w*j - 4 + 3/2*j**2. Factor m(t).
-(t - 1)**2*(t + 2)
Factor 21*b**2 + 16*b - 52*b - 18*b**2 - 216 + 18*b.
3*(b - 12)*(b + 6)
Let a(y) be the first derivative of -8 + 5/6*y**6 + 3*y**5 - 35/3*y**3 + 20*y + 0*y**2 - 5/4*y**4. Solve a(w) = 0.
-2, -1, 1
Let a(f) be the second derivative of f**7/2100 - f**6/60 + 4*f**5/25 + 16*f**4/15 + 7*f**3/3 - 9*f. Let p(n) be the second derivative of a(n). Factor p(b).
2*(b - 8)**2*(b + 1)/5
Let w = 554 + -554. Let m(g) be the first derivative of -5 + 1/7*g**4 + w*g + 2/35*g**5 - 2/7*g**2 - 2/21*g**3. Let m(r) = 0. What is r?
-2, -1, 0, 1
Let p(b) be the third derivative of b**7/147 - 3*b**6/35 + 16*b**5/35 - 4*b**4/3 + 16*b**3/7 + 2*b**2 - 15*b. Find k such that p(k) = 0.
6/5, 2
Let r(b) be the third derivative of -b**7/1575 + 11*b**5/225 - 2*b**4/15 - b**3 - 6*b**2 - 21. Determine n, given that r(n) = 0.
-5, -1, 3
Let z = 19234/357 + -1145/17. Let i = 99/7 + z. Factor -1/3*n**2 + 0 + i*n.
-n*(n - 2)/3
Let k(n) be the third derivative of -3*n**8/112 - 8*n**7/35 - 23*n**6/60 + n**5/5 + 5*n**4/8 - 2*n**3/3 - n**2 + 17*n. Solve k(c) = 0 for c.
-4, -1, 1/3
Let q(p) be the third derivative of -p**5/330 - 7*p**4/66 + 113*p**2. Factor q(m).
-2*m*(m + 14)/11
Let b(z) be the third derivative of z**7/945 - z**6/180 - 187*z**2. Suppose b(h) = 0. Calculate h.
0, 3
Let -48/5*l**3 + 24/5*l**2 + 32/5*l + 14/5*l**4 + 0 = 0. What is l?
-4/7, 0, 2
Factor 43/2 + 85/4*s - 1/4*s**2.
-(s - 86)*(s + 1)/4
Let s(g) be the first derivative of 1/15*g**3 + 1/10*g**2 + 5 + 0*g. Solve s(z) = 0 for z.
-1, 0
Suppose -30 - 5 = -5*d. Suppose d = -4*l + 15. Factor -2*n**2 - 2*n + 2*n + l*n - 4*n.
-2*n*(n + 1)
Let j be 4 - 45/(-9) - 5. Let t(k) be the first derivative of 0*k**j - 1/8*k**2 + 1/24*k**6 + 0*k - 1/10*k**5 + 2 + 1/6*k**3. Let t(l) = 0. Calculate l.
-1, 0, 1
Let l(w) be the second derivative of -w**4/132 + w**3/6 - 25*w - 1. Solve l(c) = 0.
0, 11
Let n(v) be the third derivative of v**5/60 - 19*v**4/24 - 10*v**3/3 + v**2 - 53*v. Factor n(l).
(l - 20)*(l + 1)
Let u be 4*(-5 + (3 - 0)). Let c be u/108*-9 - 1/15. Factor 0*x**2 + c*x**4 + 0*x + 3/5*x**3 + 0.
3*x**3*(x + 1)/5
Let q(r) be the third derivative of r**7/12600 - r**6/900 + r**5/150 + 7*r**4/12 + 14*r**2. Let d(p) be the second derivative of q(p). Factor d(k).
(k - 2)**2/5
Let w be (-104 - -94)/(6/(-1)). Let b(f) be the first derivative of 0*f**2 - 5*f + w*f**3 - 1. Solve b(k) = 0.
-1, 1
Let a = -16 - -14. Let v be 2*2/(-84)*a*3. Factor 0 - 8/7*g - v*g**3 - 8/7*g**2.
-2*g*(g + 2)**2/7
Let x(d) be the third derivative of 0*d + 0 + 1/105*d**7 + 0*d**5 + 11*d**2 + 0*d**3 + 0*d**4 + 0*d**6. Factor x(t).
2*t**4
Let h be (0 - 38/(-72)) + (-160)/(-720). Determine k so that h*k**2 + 9/2*k + 27/4 = 0.
-3
Let n = 22276/48321 - -2/3717. Determine k so that 4/13 + n*k - 2/13*k**3 + 0*k**2 = 0.
-1, 2
Factor -8*v**2 - 35 + 7*v**2 + 25*v**2 - 4*v**2 + 135*v.
5*(v + 7)*(4*v - 1)
Factor 0*j - 3/5*j**3 + 15*j**2 + 0.
-3*j**2*(j - 25)/5
Let i(z) be the second derivative of -1/60*z**5 + 7*z + 1/3*z**2 + 0 + 1/6*z**3 + 0*z**4. Determine a so that i(a) = 0.
-1, 2
Suppose 307*a + 50 = 317*a. Let o(g) be the second derivative of -28/39*g**3 + 0 + 8/13*g**2 + 5/13*g**4 - a*g - 9/130*g**5. Find q such that o(q) = 0.
2/3, 2
Let n(y) = -6*y**3 + 40*y**2 - 4*y. Let f(c) = 19*c**3 - 121*c**2 + 15*c. Let k(u) = -4*f(u) - 11*n(u). Factor k(g).
-2*g*(g - 4)*(5*g - 2)
Let u be (-6468)/14014 + (-294)/(-130). Let c = -7 + 10. Factor 1/5*r**4 + 7/5*r + 2/5 + r**c + u*r**2.
(r + 1)**3*(r + 2)/5
Let u(w) = 5*w**3 - 38*w**2 + 44*w + 12. Let p(z) = z**3 - z**2 + 2. Let t(v) = -2*p(v) - u(v). Find c such that t(c) = 0.
-2/7, 2, 4
What is v in -1156*v + v**3 - 36*v**3 + 2*v**3 + 29*v**3 + 136*v**2 = 0?
0, 17
Let h be (-5)/1*(-2)/15. Let j(s) be the first derivative of 0*s - 2 - h*s**3 + 2*s**2. Factor j(a).
-2*a*(a - 2)
Suppose -154*a + 125*a - 231*a = -520. Suppose -5/7*k + 0 - 1/7*k**a = 0. What is k?
-5, 0
Let i(u) be the third derivative of -u**5/5 + 20*u**4/21 + 8*u**3/21 - 3*u**2 - 10. Solve i(g) = 0 for g.
-2/21, 2
Suppose 0 = -a - 4*h - 10, -2*a + h + 7 = -0. Let u = -7 + 7. What is q in 3/4*q + u - 1/4*q**a = 0?
0, 3
Let q(u) be the second derivative of u**5/2 - 7*u**4/12 - 2*u**3/3 + u**2/2 + 186*u. Factor q(a).
(a - 1)*(2*a + 1)*(5*a - 1)
Suppose 2*g + 3/2*g**2 + 1/2*g**4 - 2*g**3 - 2 = 0. Calculate g.
-1, 1, 2
Factor 2 - 10 - 15 - 2 + 5 - 9*n - n**2.
-(n + 4)*(n + 5)
Let l(k) = -9*k**5 + 69*k**4 + 174*k**3 - 894*k**2 + 1023*k - 387. Let b(y) = -y**5 + y**4 - 2. Let a(w) = 12*b(w) - l(w). Let a(v) = 0. What is v?
-11, 1
Let s(u) be the third derivative of -u**9/80640 - u**8/13440 + u**7/2240 - 49*u**5/60 - 29*u**2. Let h(q) be the third derivative of s(q). Solve h(i) = 0.
-3, 0, 1
Let x(p) be the second derivative of -5*p**4/6 + 31*p**3 + 38*p**2 + p + 38. Find b, given that x(b) = 0.
-2/5, 19
Let t be ((132/(-9))/11)/((-8)/64). Factor 4/9*u**4 + t*u + 88/9*u**2 + 32/9*u**3 + 4.
4*(u + 1)**2*(u + 3)**2/9
Let t(f) be the third derivative of 0*f**3 + 0 + 3/40*f**4 + 1/200*f**6 + 0*f - 9*f**2 + 1/25*f**5. Factor t(a).
3*a*(a + 1)*(a + 3)/5
Let u(m) = m**2 + 2*m + 1. Let d(s) = -5*s**3 + 25*s**2 + 55*s + 25. Let h(j) = -d(j) + 25*u(j). Factor h(b).
5*b*(b - 1)*(b + 1)
Let z(f) be the second derivative of -3*f**5/20 + 2*f**4 + 22*f**3 + 72*f**2 + 119*f + 1. Factor z(o).
-3*(o - 12)*(o + 2)**2
Let x(p) be the first derivative of -32*p - 8 - 50/3*p**3 - 40*p**2. Factor x(v).
-2*(5*v + 4)**2
Let o(