-1 - -2) - (-6 - -9)*-1. Find d, given that -1/2*d + j*d**5 + 0 + d**2 + 0*d**u - d**4 = 0.
-1, 0, 1
Let x(t) = -t**3 + 32*t**2 - 233*t - 584. Let r(l) = -l**3 + 32*l**2 - 235*l - 585. Let h(m) = 6*r(m) - 7*x(m). Let h(p) = 0. Calculate p.
-2, 17
Suppose 2*s + 5*h + 0 = -1, 0 = s + 5*h + 3. Solve -8/7*o - 8/7*o**2 + 6/7*o**5 + s*o**3 + 20/7*o**4 + 0 = 0.
-2, -1, 0, 2/3
Let i(j) be the second derivative of 11/120*j**5 - 1/24*j**4 + 0*j**3 + 0 - 13/180*j**6 + 12*j + 5/252*j**7 + 0*j**2. Factor i(n).
n**2*(n - 1)**2*(5*n - 3)/6
Let u(c) be the third derivative of 0*c**3 + 1/16*c**6 - 5/48*c**5 + 0*c**4 - 1/168*c**7 + 0 + 0*c - 8*c**2. Determine m so that u(m) = 0.
0, 1, 5
Let x = 7659 + -38283/5. Find q, given that 4/5*q**2 + 0 + x*q = 0.
-3, 0
Let s(y) be the third derivative of y**6/540 - y**5/60 + 7*y**3/6 + 9*y**2. Let w(z) be the first derivative of s(z). Factor w(p).
2*p*(p - 3)/3
Solve -571*o**4 + 570*o**4 - o + 3*o**3 + o**2 - 2*o**3 = 0 for o.
-1, 0, 1
Let t be (-10 + -18)/(-1*2). Suppose 0*c - t*c**2 - 2*c + 9*c**2 - 3*c = 0. Calculate c.
-1, 0
Let g(w) be the third derivative of -7*w**6/72 + 263*w**5/180 + 67*w**4/36 + 8*w**3/9 - 295*w**2 - w. Solve g(l) = 0 for l.
-2/7, -1/5, 8
Let s(r) = 4*r - 37. Let d be s(10). Suppose -5*i + 2 = -n, -2*i - d*i = -5. Factor 10/11*l + 2/11*l**n - 4/11 - 8/11*l**2.
2*(l - 2)*(l - 1)**2/11
Let o(i) be the third derivative of 0 - 1/15*i**5 + 0*i - 8/15*i**3 - 10*i**2 - 4/15*i**4 - 1/150*i**6. What is p in o(p) = 0?
-2, -1
Let t(i) = -6*i**4 + 42*i**3 - 70*i**2 - 5. Let l(p) = 9*p**4 - 63*p**3 + 104*p**2 + 7. Let x(z) = -5*l(z) - 7*t(z). Factor x(m).
-3*m**2*(m - 5)*(m - 2)
Let w = 2 + 2. Find l such that 7*l**4 - 12*l - 18*l**2 + 4*l**w - 12*l**3 - 14*l**4 - 3 = 0.
-1
Let v be (-2641)/(-45) + (-20)/150. Let f = 59 - v. Factor 16/9*b**2 + 14/9*b + f + 2/3*b**3.
2*(b + 1)**2*(3*b + 2)/9
Let x = 306 - 306. Let v(p) be the first derivative of 4 + x*p + 1/7*p**2 - 2/21*p**3. Factor v(y).
-2*y*(y - 1)/7
Let f be (-2)/(-7)*(22 - 15). Let r(u) be the second derivative of 0 + 1/6*u**4 + 5*u - u**3 + 2*u**f. Factor r(b).
2*(b - 2)*(b - 1)
Let y = 4 - 3. Suppose -2*n + 3*u = -y, 0*u - 3*u + 7 = 2*n. Suppose x**n + 0*x + 5 - 4 - 2*x = 0. Calculate x.
1
Let s(p) = p**3 - 12*p**2 + 10*p + 14. Let z be s(11). Let -45*c + 5*c**z + 21 + 2 + 22 - 5*c**2 = 0. What is c?
-3, 1, 3
Solve 16/5*m**2 + 4 - 34/5*m - 2/5*m**3 = 0 for m.
1, 2, 5
Find o such that -1/2*o**2 - 1/4*o**3 + 1/4*o + 1/2 = 0.
-2, -1, 1
Let d = -272957/17 - -16057. Solve 2/17*k**2 + d*k + 18/17 = 0.
-3
Let u(d) be the third derivative of 4/3*d**3 - 2/3*d**4 - 1/60*d**6 + 0*d + 17*d**2 + 1/6*d**5 + 0. Factor u(f).
-2*(f - 2)**2*(f - 1)
Let n be 26/39*(-3)/(-7)*(-112)/(-80). Factor -n*l**2 - 24/5*l - 72/5.
-2*(l + 6)**2/5
Let v(f) be the second derivative of 0 + 0*f**3 + 1/9*f**4 - 12*f + 1/63*f**7 + 4/45*f**6 + 0*f**2 + 1/6*f**5. Factor v(y).
2*y**2*(y + 1)**2*(y + 2)/3
Suppose 0 = -z - 5*y + 11, -2*y + 8 = -0*z + z. Factor z*o**2 - 4*o**2 - 33*o**2 + 3*o**3 + 407*o - 37*o**2 - 242.
(o - 11)**2*(3*o - 2)
Let w(d) = 2*d**2 + 2*d + 3. Let h(n) = -5*n**2 - 3*n - 7. Let m(g) = 6*h(g) + 14*w(g). Factor m(p).
-2*p*(p - 5)
Let r(h) be the third derivative of h**5/30 - 25*h**4/12 + 8*h**3 - 7*h**2 + 8. What is w in r(w) = 0?
1, 24
Let b = -8833/19 - -465. Suppose -4/19*k**5 + 2/19*k**4 - 4/19 + 14/19*k**3 - 10/19*k + b*k**2 = 0. What is k?
-1, -1/2, 1, 2
Suppose 5*i = 5*v - 30, 3*v + 0*v - 18 = -2*i. Let w(h) = -20*h**2 + 17. Let p = -11 + 28. Let s(u) = 7*u**2 - 6. Let f(z) = p*s(z) + v*w(z). Factor f(j).
-j**2
Let n(b) = -b**3 + 15*b**2 + b - 7. Let l be n(15). Find h such that 8*h**3 - 4*h**5 - h**4 + l*h**2 - 4*h - 3*h**4 - 2 - 2 = 0.
-1, 1
Let m(g) be the second derivative of g**5/90 + 29*g**4/54 - 10*g**3/9 + 826*g. Factor m(p).
2*p*(p - 1)*(p + 30)/9
Factor -18 + 51/5*a - 3/5*a**2.
-3*(a - 15)*(a - 2)/5
Let j(w) = 3*w**3 - 102*w**2 + 73*w + 25. Let b(p) = -p**3 + p**2 - p. Let s(f) = 3*b(f) - 3*j(f). What is g in s(g) = 0?
-1/4, 1, 25
Let g = 684/3601 + -10/277. Let -4/13*n**2 + 0 + g*n + 2/13*n**3 = 0. What is n?
0, 1
Factor 22/7 + 1/7*r**3 + 2*r**2 + 5*r.
(r + 1)*(r + 2)*(r + 11)/7
Let s be (-2)/8 + 42150/280. Let c = -149 + s. Factor 0 - 9/7*w**3 - 3/7*w**4 - c*w**2 - 3/7*w.
-3*w*(w + 1)**3/7
Solve -295*r**3 + 252 + 704*r + 37*r**2 - 39*r**4 + 49*r**3 + 328*r + 4*r**5 = 0 for r.
-3, -1/4, 2, 14
Let b(i) be the second derivative of 3*i**4/5 - i**3 - 187*i. Determine u so that b(u) = 0.
0, 5/6
Let l(m) = -5*m**4 - 10*m**3 - 5*m**2 + 20*m - 5. Let g(x) = -7*x**4 - 10*x**3 - 5*x**2 + 22*x - 6. Let v(c) = 5*g(c) - 6*l(c). Factor v(a).
-5*a*(a - 2)*(a - 1)*(a + 1)
Let j(r) be the first derivative of r**3/9 + 15*r**2/2 - 46*r/3 + 112. Factor j(d).
(d - 1)*(d + 46)/3
Let i be (-12)/(-10) - (-82)/(-123). Let o(z) be the first derivative of 8/9*z**3 + i*z**5 + 1/9*z**6 - 5 + 1/3*z**2 + z**4 + 0*z. Determine y so that o(y) = 0.
-1, 0
Suppose -25 = 2014*k - 2019*k. Let l(r) be the third derivative of 0*r + 0 + 1/54*r**4 + 1/27*r**3 + k*r**2 + 1/270*r**5. Factor l(p).
2*(p + 1)**2/9
Factor 5*r**4 - 108*r - 117*r - 6*r**3 - 2*r**2 + 22*r**2 - 29*r**3 + 285*r.
5*r*(r - 6)*(r - 2)*(r + 1)
Let h = -8 - -10. Let y(b) = -2*b**2 + 15*b - 7. Let c be y(7). Suppose -2/5*u**h - 2/5*u + c = 0. Calculate u.
-1, 0
Determine q so that 24/5 - 86/5*q + 9/5*q**3 - 101/5*q**2 = 0.
-1, 2/9, 12
Let o(s) be the second derivative of 0 + 41*s + 8/3*s**3 + 1/9*s**4 + 24*s**2. Find p, given that o(p) = 0.
-6
Determine a, given that -2*a**5 + 21 - 16 - 24*a**2 - 5 + 45*a - a**5 - 42*a**3 + 24*a**4 = 0.
-1, 0, 1, 3, 5
Let s = -3511 + 24649/7. Find x, given that -24/7*x - 2/7*x**2 - s = 0.
-6
Let j be (26/39)/(4/(-6)). Let h be -1 - -2 - (j - 0)/1. Find a, given that 0*a - 1/3*a**3 - 2/3*a**h + 0 = 0.
-2, 0
Let i(q) be the first derivative of q**3/15 - 133*q**2/10 + 132*q/5 + 158. Find x such that i(x) = 0.
1, 132
Let i(s) = -1. Let m(k) be the second derivative of k**5/20 - 3*k**4/4 + 9*k**3/2 - 9*k**2 - 10*k. Let c(g) = -18*i(g) - 2*m(g). Factor c(a).
-2*(a - 3)**3
Factor 4*c**3 + 168*c**2 + 13*c - 74*c**2 - 78*c**2 + 3.
(c + 3)*(2*c + 1)**2
Factor -3/2*a**3 - 45/2*a + 75/2 - 27/2*a**2.
-3*(a - 1)*(a + 5)**2/2
Let h(l) be the second derivative of -l**5/10 + l**3/3 - 225*l. Factor h(r).
-2*r*(r - 1)*(r + 1)
Let u(x) be the first derivative of 0*x + 22 - 6*x**2 + 7/2*x**4 + 38/3*x**3. Determine d so that u(d) = 0.
-3, 0, 2/7
Let t(q) = -71*q - 1486. Let z be t(-21). Suppose -12/11*v**3 + 6/11 + 2/11*v**z - 4/11*v**2 - 2/11*v**4 + 10/11*v = 0. Calculate v.
-1, 1, 3
Let g(p) = p**4 + p**3 - p**2 - p. Let w be 7*(-2)/(-7) - (5 - 1). Let n(t) = 4*t**4 - 4*t**3 - 10*t**2 - 2*t. Let s(x) = w*g(x) + n(x). Factor s(r).
2*r**2*(r - 4)*(r + 1)
Let l be 231/75 + (4/700*14)/(-1). Suppose 0 + 0*u**4 + 8/5*u**2 - 1/5*u**5 + 6/5*u**l + 3/5*u = 0. Calculate u.
-1, 0, 3
Let b(u) be the first derivative of -u**6/15 + 5*u**4/6 - 4*u**2 + 24*u + 37. Let q(i) be the first derivative of b(i). Let q(c) = 0. What is c?
-2, -1, 1, 2
Let y(j) be the third derivative of 1/48*j**4 + 2*j**2 + 0*j**3 + 1/40*j**6 + 1/672*j**8 + 0 - 1/30*j**5 - 1/105*j**7 + 0*j. Factor y(u).
u*(u - 1)**4/2
Let a(g) be the third derivative of -g**7/42 + 7*g**6/24 - 11*g**5/12 + 25*g**4/24 + 129*g**2. Suppose a(s) = 0. Calculate s.
0, 1, 5
Suppose 29*m - 35*m + 20 = -5*s, 25 = 5*m. Factor 2/9*q**s - 16/9*q + 0.
2*q*(q - 8)/9
Suppose 206*i - 188*i = 0. Factor i + 32/3*u**2 - 16/3*u - 20/3*u**3 + 4/3*u**4.
4*u*(u - 2)**2*(u - 1)/3
Factor -5*o**2 + 39 + 38 + 13 - 35*o.
-5*(o - 2)*(o + 9)
Let o be (-3)/1 + 8 + 3 + -5. Let u = 30 - 138/5. Solve 6/5*b**2 - u*b**4 + 6/5 - o*b + 3/5*b**5 + 12/5*b**3 = 0 for b.
-1, 1, 2
Let o = 57 + -56. Let n(z) = -5*z**4 - 20*z**3 - 25*z**2 - 35*z - 25. Let h(s) = -s - 1. Let j(q) = o*n(q) - 25*h(q). Suppose j(g) = 0. Calculate g.
-2, -1, 0
Let d(g) be the third derivative of g**5/150 - 27*g**4/5 + 8748*g**3/5 - 232*g**2. Let d(j) = 0. What is j?
162
Let i be 10*3/(10 + -4). Let r(p) = 11*p + 70. Let g be r(-6). Factor 0 + 1/5*j**i + 0*j + 1/5*j**3 + 0*j**2 + 2/5*j**g.
j**3*(j + 1)**2/5
Let v(q) = 12*q**2 + 1587*q + 15573. Let r(g) = g**2 + 122*g + 1198. Let j(x) = 27*r(x) - 2*v(x). Determine f so that j(f) = 0.
