e q(-1). Let n = m - 5. Let t(l) = n*g(l) - x(l). Factor t(w).
2*(w - 2)*(w + 1)
Let p(h) be the first derivative of -h + 19 + 1/8*h**4 - 1/4*h**2 + 1/3*h**3. Factor p(v).
(v - 1)*(v + 1)*(v + 2)/2
Let d(r) be the third derivative of -r**8/84 + 2*r**7/35 + r**6/5 - 2*r**5/3 - 7*r**4/2 - 6*r**3 - 126*r**2. Factor d(b).
-4*(b - 3)**2*(b + 1)**3
Solve 10*x**2 + 1936 - 320*x + 2269 - 5*x**2 + 915 = 0.
32
Let v be (-1 - (-6 + 3)) + (7 - 1). Let z be 9/(-4)*v/(-15). What is r in z*r**2 + 0 + 0*r - 2/5*r**3 = 0?
0, 3
Suppose -5*k + 5*i = -4*k - 60, i = 0. Let o = k + -57. Suppose 7/3*w**o - w**2 - w**4 - w + 2/3 = 0. What is w?
-2/3, 1
Let z(l) = 4*l**3 + 49*l**2 - 67*l + 16. Let u(q) = -8*q**3 - 97*q**2 + 133*q - 33. Let h(y) = 4*u(y) + 10*z(y). Suppose h(a) = 0. What is a?
-14, 1/4, 1
Suppose 0 = -13*j + 298 - 233. Solve -2*r - 1/5*r**2 - j = 0.
-5
Factor 0 - 40/3*j - 2/3*j**2.
-2*j*(j + 20)/3
Factor -21/4*n**2 + 3/4*n**3 + 0*n + 27.
3*(n - 6)*(n - 3)*(n + 2)/4
Let a = 20 + -19. Let y be (a - -2)/((-3)/(-2)). Factor 41*l**y - 39*l**2 + 2*l**3 - 2*l**5 + 3*l**4 + l**4 - 6*l**4.
-2*l**2*(l - 1)*(l + 1)**2
Let x(a) be the first derivative of 49/20*a**5 - 11/2*a**3 - 2*a - 77/16*a**4 + 8 + 13/2*a**2. Suppose x(j) = 0. Calculate j.
-1, 2/7, 2
Let h(n) = 2*n**2 + 132*n - 710. Let f be h(-71). Solve 1/5*l**4 + f*l**3 + 0*l + 0 + 0*l**2 + 1/5*l**5 = 0.
-1, 0
Let i be (-1*(-28)/8)/(4/10). Solve -25*h + 5/2*h**3 + 5/4*h**4 - i*h**2 - 15 = 0 for h.
-2, -1, 3
Let j(f) = 2*f + 19. Let z be 3/(-5) + 407/(-55). Let c be j(z). Factor 0*x + 2*x**4 - x**2 + 2*x + 2*x**4 - c*x**2 - 2*x**5.
-2*x*(x - 1)**3*(x + 1)
Let f(a) be the second derivative of a**4/24 + 13*a**3/12 - 36*a - 2. Factor f(c).
c*(c + 13)/2
Let q(g) = -g**3 + 15*g**2 - 2*g + 34. Let f be q(15). Let o be 6*(1 + (-20)/24)*f. Factor -6*n**2 - 4/3 - 10/3*n**3 - 14/3*n - 2/3*n**o.
-2*(n + 1)**3*(n + 2)/3
Let j(k) = -29*k**2 - 194*k + 974. Let m(z) = 20*z**2 + 130*z - 650. Let c(o) = -5*j(o) - 7*m(o). Suppose c(u) = 0. What is u?
-16, 4
Let k(m) = -4*m**3 - 5*m**2 + 16*m. Let n(w) = -w**4 - w**2. Let j(i) = 2*k(i) - 2*n(i). Determine a so that j(a) = 0.
-2, 0, 2, 4
Let p(y) be the first derivative of -1/90*y**6 + 1/18*y**3 - 1/3*y**2 + 4*y + 1/12*y**4 + 2 - 1/60*y**5. Let u(x) be the first derivative of p(x). Factor u(b).
-(b - 1)**2*(b + 1)*(b + 2)/3
Let s(l) be the first derivative of l**4/2 - 2*l**3 - l**2 + 6*l - 104. Find w, given that s(w) = 0.
-1, 1, 3
Let n(g) be the first derivative of 4*g**3 - 6/5*g**5 - 14 - 9/2*g**4 + 9/2*g**2 - 6*g + 3/2*g**6. Let n(x) = 0. Calculate x.
-1, 2/3, 1
Let y(v) = -6*v**2 - 5*v - 14. Let r(o) = 7*o**2 + 3*o + 14. Let i(m) = -5*r(m) - 6*y(m). Factor i(z).
(z + 1)*(z + 14)
Suppose 4*t = -u - t + 23, 4*t - 10 = 2*u. Suppose 2*q - u = 5. Let -2*f**3 + 0*f**3 + 9*f**2 - 8 - 3*f**2 + q*f**3 = 0. What is f?
-2, 1
Factor 0 + 57/2*f - 3/4*f**3 - 51/4*f**2.
-3*f*(f - 2)*(f + 19)/4
Suppose 0 = 2*t + 5*h - 11, -3*h - 2 = -5*h. Let o(r) be the third derivative of 0 - 1/21*r**5 + 5*r**2 - 4/21*r**4 - 1/210*r**6 + 0*r - 8/21*r**t. Factor o(q).
-4*(q + 1)*(q + 2)**2/7
Let h(j) be the third derivative of -6*j**2 - 1/15*j**5 + 0 + 1/3*j**4 + 0*j + 2*j**3. Solve h(w) = 0 for w.
-1, 3
Let m be (-6)/14 + 1 + (-196)/343. Let q(t) be the third derivative of 0 + 1/24*t**4 + m*t**5 + 0*t**3 + t**2 - 1/120*t**6 + 0*t. Solve q(r) = 0.
-1, 0, 1
Suppose 6*f + 10*f = 14*f. Factor 2/15*u**5 + 0*u + 0 + f*u**3 + 0*u**4 + 0*u**2.
2*u**5/15
Let p(j) = 4*j**2 - 10*j + 10. Let t(c) = 8*c**2 - 21*c + 21. Suppose 0 = -4*h - 12 - 12. Let y(m) = h*t(m) + 11*p(m). Factor y(b).
-4*(b - 2)**2
Solve -5*b**4 - 175895 + 175895 - 5*b**3 = 0.
-1, 0
Factor 1/2*k - 3 + 1/2*k**2.
(k - 2)*(k + 3)/2
Suppose 5*g + 5*q - 7 - 8 = 0, -5*g + 2*q = -15. Solve -13*p**g + p**3 - 8 - 8*p**2 + 28*p + 4*p**2 - 4*p**2 = 0.
-2, 1/3, 1
Let x(i) be the first derivative of -i**6/45 + 3*i**5/40 - i**4/12 + i**3/36 - 30*i - 10. Let j(b) be the first derivative of x(b). Factor j(f).
-f*(f - 1)**2*(4*f - 1)/6
Let u(z) be the first derivative of -z**4/10 + 2*z**3/5 - 2*z**2/5 - 211. Factor u(s).
-2*s*(s - 2)*(s - 1)/5
Let r = 3264/58345 + 2/1667. Let j(d) be the first derivative of 0*d**4 - 1 + 2/7*d**3 + 2/7*d**2 - r*d**5 + 0*d. Solve j(q) = 0.
-1, 0, 2
Let n(k) be the second derivative of k**5/5 + 13*k**4/3 + 92*k**3/3 + 96*k**2 + 34*k - 4. Factor n(f).
4*(f + 2)*(f + 3)*(f + 8)
Let r(d) = d + 4. Let z be r(2). Let m be 56/z + 2/(-6). Factor -13 + 2*h**3 - 4*h**2 + 8 + m - 2*h.
2*(h - 2)*(h - 1)*(h + 1)
Let r = -94 - -76. Let w be ((-2)/r)/(14/168). Determine d so that 2/3*d**2 + w + 2*d = 0.
-2, -1
Let m be (-24)/(-3)*(-2)/(-4). Let l be 288/80 + (-3)/5. Factor -12*c - m*c - 8*c**2 - 4*c**l - 12*c**2 + 4*c**2.
-4*c*(c + 2)**2
Let a = -52 - -57. Let o(r) be the third derivative of -7*r**2 - 1/540*r**6 - 1/9*r**4 + 0*r + 1/45*r**a + 0 + 8/27*r**3. Factor o(j).
-2*(j - 2)**3/9
Determine b, given that -72/5*b + 432/5 - 1/5*b**3 - 21/5*b**2 = 0.
-12, 3
Let d(z) be the second derivative of -1/66*z**4 - 5*z + 0 + 2/33*z**3 + 0*z**2. Factor d(j).
-2*j*(j - 2)/11
Let q(s) be the first derivative of 5*s**3/3 - 50*s**2 + 500*s - 79. Factor q(l).
5*(l - 10)**2
Suppose -38/3*j**2 - 97/3*j**3 + 0 + 27/2*j**5 - 4/3*j - 15/2*j**4 = 0. Calculate j.
-1, -2/9, 0, 2
Let i(n) be the third derivative of -5/24*n**4 + 0*n**7 - 9*n**2 + 0 - 5/336*n**8 + 1/12*n**6 + 0*n + 0*n**5 + 0*n**3. Suppose i(d) = 0. Calculate d.
-1, 0, 1
Let n be ((-2)/10)/((-9)/3). Let u(k) be the second derivative of 1/90*k**4 + 9*k + 2/45*k**3 + n*k**2 + 0. Factor u(c).
2*(c + 1)**2/15
Let q(f) = -3*f**2 + 10*f + 6. Let k(w) = 19*w**2 - 61*w - 39. Let i(v) = 6*k(v) + 39*q(v). Find o such that i(o) = 0.
0, 8
Let n(w) = 7*w**2 + 46*w - 141. Let u(l) = -6*l**2 - 45*l + 144. Let s(a) = -3*n(a) - 4*u(a). Solve s(t) = 0.
-17, 3
Let n be -2 + (16 + 0)/4. Let b be -3 - (n - 8)/1. What is x in -1/4*x**5 - 5/4*x + 5/4*x**4 + 1/4 + 5/2*x**2 - 5/2*x**b = 0?
1
Let r = 9/257 - -1001/771. Determine s, given that r*s + 0 - 4/3*s**2 = 0.
0, 1
Let r = 2293 + -75661/33. Let q(j) be the first derivative of r*j**3 + 1/11*j**2 - 6 + 8/55*j**5 + 1/33*j**6 + 3/11*j**4 + 0*j. Suppose q(l) = 0. What is l?
-1, 0
Let o(y) be the first derivative of y**6/15 - 2*y**5/5 - y**4/6 + 4*y**3/3 - 5*y + 23. Let f(x) be the first derivative of o(x). Factor f(z).
2*z*(z - 4)*(z - 1)*(z + 1)
Let y be ((-8980)/9429)/(10/(-112)). Suppose y + 16/3*z - 4/3*z**3 - 8/3*z**2 = 0. What is z?
-2, 2
Let y(u) = u**3 + 16*u**2 - 19*u - 25. Let v be y(-17). Factor -60*s**2 + 6 + v*s + 27*s**2 + 36*s**2.
3*(s + 1)*(s + 2)
Find f, given that 1/4*f**4 + 99/4*f**2 - 5*f + 5*f**3 - 25 = 0.
-10, -1, 1
Let w(n) = n**3 + 9*n**2 + 17*n + 7. Let p be w(-7). Let d be (-1)/(-1)*(-7)/p. Determine t, given that -t**3 + 0 - 3/2*t**2 - d*t = 0.
-1, -1/2, 0
Let w(d) = -2*d**2 - 32*d + 2. Let x be w(-16). Let v be (x - 3)*(-2)/7. What is q in -4/7*q + 0 + v*q**2 = 0?
0, 2
Let f = -2/1085 + 312/1085. Let b(o) = o**2 + 8*o + 12. Let m be b(-6). Let 0*x + 2/7*x**3 + f*x**4 + m - 4/7*x**2 = 0. What is x?
-2, 0, 1
Let l be ((-16)/24)/(4/(-54)). Suppose 0 = l*d - 6*d - 9. Determine f so that -4*f**2 + 6*f**2 - 5*f**2 + 1 + 2*f**d + 0*f**2 = 0.
-1/2, 1
Suppose -3*q + 0*y = -y - 4, 4*q - 17 = -y. Let t(j) be the third derivative of 0*j + 1/120*j**5 + 1/6*j**q + 0 + j**2 - 1/16*j**4. Find p such that t(p) = 0.
1, 2
Let t(s) be the second derivative of -2*s**6/15 + 27*s**5/5 - 97*s**4/3 + 78*s**3 - 92*s**2 - 272*s. Solve t(o) = 0 for o.
1, 2, 23
Let i(f) = -26*f**5 + 37*f**4 - f**3 - 5*f - 5. Let c(z) = 40*z**5 - 56*z**4 + 2*z**3 + 7*z + 7. Let j(s) = 5*c(s) + 7*i(s). Factor j(o).
3*o**3*(o - 1)*(6*o - 1)
Let g(l) be the third derivative of l**5/15 - l**4/6 - 8*l**3 + 2*l**2 - 37*l. Find a, given that g(a) = 0.
-3, 4
Suppose 13*f = -4*f + 34*f. Let y(u) be the first derivative of 8 + 1/7*u**4 + 2/35*u**5 + 0*u**2 + 2/21*u**3 + f*u. Find r, given that y(r) = 0.
-1, 0
Suppose 0 = 9*y + 2*y - 33. Let q(o) be the first derivative of 3 - 3/4*o**4 + 3/2*o**2 + y*o - o**3. Factor q(f).
-3*(f - 1)*(f + 1)**2
Let a(x) = 4*x. Let k be a(2). Suppose -2*z + k = -z. Factor -8 + 0*f**4 - z*f**3 - 43*f**2 + 7*f**2 - 28*f - 4*f**4 - 12*f**3.
-4*(f + 1)**3*(f + 2)
Let f be (-