d k, given that -5/3*k - t - 4/3*k**h = 0.
-1, -1/4
Let r(l) be the third derivative of -8*l**2 + 1/42*l**7 + 0*l**3 + 1/24*l**6 + 0 + 0*l - 1/12*l**5 - 5/24*l**4. Let r(g) = 0. What is g?
-1, 0, 1
Let a(q) be the first derivative of -3*q**6/2 + 201*q**5/5 - 334*q**4 + 808*q**3 - 840*q**2 + 400*q + 5. Suppose a(f) = 0. Calculate f.
2/3, 1, 10
Let g be 1 + 1 + 20/(-2). Let z(l) = l + 10. Let h be z(g). Determine p so that -3*p**2 - p**4 - p**h + 14*p**3 - 18*p**3 = 0.
-2, 0
Let v(w) be the first derivative of 12 + 3/20*w**4 + 2/5*w**3 + 0*w**2 + 0*w. Let v(s) = 0. Calculate s.
-2, 0
Let w = -5 + 8. Let q(m) = m**3 - 6*m**2 - 6*m - 3. Let c be q(7). Determine n so that -4*n**w - 52*n**4 - 8*n**5 - 10*n**5 + 32*n**2 + 4 + 22*n + 16*n**c = 0.
-1, -2/3, -1/3, 1
Let q(z) = 3 + 0*z + 4*z - 3*z - z**3. Let w be q(0). Suppose 1/3*f**2 + 4/3*f**w - 4/3*f - 1/3 = 0. What is f?
-1, -1/4, 1
Let y(p) be the first derivative of 3*p**5/10 - 3*p**4/8 - p**3 - 213. Solve y(h) = 0.
-1, 0, 2
Let z(p) = -p**2 - p. Let j be (1 - 0) + 4 + -3. Let i(x) = -x**3 + 0 - 16*x**j - 8 - 3*x**3 + 6*x**3 - 22*x. Let l(m) = -2*i(m) + 44*z(m). Factor l(c).
-4*(c - 1)*(c + 2)**2
What is h in 0*h**2 + h - 62*h - 90 - 9*h - 3*h**2 + 31*h = 0?
-10, -3
Let b be (272/204)/((-8)/(-30)). Let s(g) be the first derivative of b + 4/3*g + g**3 - 2*g**2. Suppose s(f) = 0. What is f?
2/3
Let b(o) be the third derivative of 1/720*o**6 + 1/144*o**4 + 0*o**3 + 0 + 18*o**2 - 1/180*o**5 + 0*o. Factor b(h).
h*(h - 1)**2/6
Suppose 1 = 5*u + 2*w, 4*u - 55 = 3*w - 22. Find k such that -45/2*k**4 + 0 + 40*k**u + 15*k + 155/2*k**2 = 0.
-1, -2/9, 0, 3
Suppose 90 = 14*f - 428. Factor 18*u**2 - 34*u**2 - 6*u**3 - 24*u + f*u**2 + 9.
-3*(u - 1)**2*(2*u - 3)
Let 10/3*a**2 + 0 - 2/3*a**3 - 2/3*a**4 - 2*a = 0. What is a?
-3, 0, 1
Let s(o) be the third derivative of 0*o**4 + 1/15*o**6 + 0*o**3 + 0*o - 1/15*o**5 + 4*o**2 - 2/105*o**7 + 0. Factor s(j).
-4*j**2*(j - 1)**2
Suppose h = -2*a + 38, -2*h + 121 - 27 = 5*a. Suppose a = 4*l + 2. Solve 3*k + 24*k**3 - 12*k**2 - 6*k**l + 0*k**3 - 9*k**3 = 0.
0, 1/2, 1
Let n(y) = -9*y**2 + 5*y - 2. Let p(i) = -4*i**2 + 2*i - 1. Let u(q) = 3*n(q) - 7*p(q). Let t(a) = -8*a**2 - 44*a + 52. Let k(m) = -t(m) - 12*u(m). Factor k(h).
-4*(h - 4)**2
Let p = -185 + 185. Let q(v) be the third derivative of 0 - 1/180*v**5 - 6*v**2 + 1/36*v**4 + 0*v**3 + p*v. Determine o so that q(o) = 0.
0, 2
Let g(t) be the first derivative of -t**4/7 + 68*t**3/21 + 2*t**2/7 - 68*t/7 + 6. Factor g(l).
-4*(l - 17)*(l - 1)*(l + 1)/7
Suppose 0 = 160*r - 155*r - 10. Determine y so that -y - 1/2*y**r + 3/2 = 0.
-3, 1
Let f(k) = 30*k - 134. Let a(l) = -l**2 - 148*l + 671. Let x(r) = -4*a(r) - 22*f(r). Factor x(t).
4*(t - 11)*(t - 6)
Let r(z) be the third derivative of -z**5/60 - 7*z**4/24 - 5*z**3/3 + 79*z**2. Find w, given that r(w) = 0.
-5, -2
Let u(i) be the third derivative of 0*i + 0*i**3 - 1/840*i**6 + 14*i**2 + 0*i**4 + 0 + 1/1470*i**7 + 0*i**5. Determine t so that u(t) = 0.
0, 1
Let k(i) = -11*i + 75. Let o be k(5). Let x = 22 - o. Solve 3/2*y**3 + 0 + 9/2*y**x + 3*y = 0 for y.
-2, -1, 0
Suppose 0*m = -2*m + 4. Factor 5*j - 2*j + 5*j - 6 - 2*j**m - 2.
-2*(j - 2)**2
Let l(i) be the first derivative of -2*i**6/3 - 4*i**5 + 13*i**4 - 28*i**3/3 - 466. What is a in l(a) = 0?
-7, 0, 1
Let w(g) be the third derivative of g**5/140 - 16*g**4/7 + 2048*g**3/7 + 5*g**2 - 3*g. What is q in w(q) = 0?
64
Let v(q) = -q - 7. Let y be v(-9). Solve -2*s**y - 7*s - 8 - 2*s**2 - 5*s + 0*s = 0 for s.
-2, -1
Let n = 10 + -5. Suppose -3*h - 3*y = -5 - 13, 2*h - 2*y + 4 = 0. Solve -3 + 7 - l**4 + h*l**2 - n = 0 for l.
-1, 1
Let u(l) be the first derivative of 6*l**3 - 71*l**2/15 - 4*l/5 - 558. Let u(n) = 0. What is n?
-2/27, 3/5
Let h be 4*(-23 + -6)*(-14)/(-8). Let s = h - -203. Factor 0*j + 1/5*j**4 + 1/5*j**2 - 2/5*j**3 + s.
j**2*(j - 1)**2/5
Suppose -4*h - 84 = -5*x, 7*x - 52 = 5*x - 3*h. Let 8*d**5 + 28*d**2 - 4*d**5 - 2*d**3 - 96*d + 114*d**3 - 64 - x*d**3 + 36*d**4 = 0. What is d?
-4, -1, 1
Let v(a) = 278*a + 558. Let h be v(-2). Suppose -1/3*j**h + 2/3*j - 1/3 = 0. Calculate j.
1
Let m(h) = -h**2 + 11*h + 30. Let a be m(13). Solve -696*g**4 - a*g**3 + 3*g**2 + 680*g**4 + 4*g**5 + 13*g**2 = 0.
-1, 0, 1, 4
Let t(h) be the second derivative of -h**4/12 + 2*h**3 - 10*h**2 + 17*h. Solve t(w) = 0.
2, 10
Let x(j) = -j**4 - j**3 - j**2 + j - 1. Let l(c) = -c**5 + 3*c**4 + 8*c**3 + 8*c**2 - 4*c + 4. Let w(r) = l(r) + 4*x(r). Find y such that w(y) = 0.
-2, -1, 0, 2
Let c be 198/(-27) - 1/(-3). Let p = -7 - c. Find v such that 0*v + p - 2/9*v**2 + 10/9*v**4 + 2/3*v**5 + 2/9*v**3 = 0.
-1, 0, 1/3
Let 11/4*i + 1/4*i**2 + 0 = 0. Calculate i.
-11, 0
Let m(z) be the second derivative of -3*z**5/40 + z**4/4 - z**3/4 + z + 51. Factor m(g).
-3*g*(g - 1)**2/2
Suppose 2*r - 3*k = -27, 18 = -5785*r + 5787*r + 2*k. Factor 0*y + r + 1/9*y**3 - 2/9*y**2.
y**2*(y - 2)/9
Let h(c) be the second derivative of -2/3*c**3 - 5/12*c**4 + 10*c - 1/10*c**5 - 5*c**2 + 0. Let p(z) be the first derivative of h(z). Solve p(a) = 0 for a.
-1, -2/3
Suppose -5*z = 80*x - 79*x - 35, -5*x - 5*z + 35 = 0. Suppose 0 + 0*f**3 + 0*f + 1/5*f**4 + x*f**2 = 0. Calculate f.
0
Factor -7 - 5*n + 0 + 1 - 4*n - 3*n**2.
-3*(n + 1)*(n + 2)
Let w be 0 - -3 - ((-9)/(-1) + -9). Let p be 0 + -3 + 7 + -4. Solve 0 + p*r**4 + 2/5*r**5 - 4/5*r**w + 2/5*r + 0*r**2 = 0.
-1, 0, 1
Suppose 3*v = 2*f + 25, -230*v + 233*v - 4*f - 41 = 0. Let 0 - 8/15*s**v + 14/15*s**2 + 4/15*s = 0. What is s?
-1/4, 0, 2
Let x(u) be the first derivative of 3*u**5/5 - 21*u**4/4 - 4*u**3 + 42*u**2 + 223. What is k in x(k) = 0?
-2, 0, 2, 7
Let b be -9 - -2 - (-3 + (-1 - 0)). Let q = b - -19/6. Suppose -j + 3/2 + q*j**2 = 0. What is j?
3
Factor -18*u + 19*u - u**2 - 11*u + 0*u**2.
-u*(u + 10)
Factor -146/3*t**3 + 0 - 3/2*t**5 - 14*t**4 - 128/3*t - 224/3*t**2.
-t*(t + 2)**2*(3*t + 8)**2/6
Let a(k) be the second derivative of 0*k**2 - 2/3*k**3 - 3*k - 3/5*k**5 - 4/3*k**4 + 0. Determine l, given that a(l) = 0.
-1, -1/3, 0
Let w(n) be the second derivative of n**8/1344 + n**7/126 - n**6/144 - n**5/6 - n**4/4 - 12*n. Let g(r) be the third derivative of w(r). What is q in g(q) = 0?
-4, -1, 1
Let u be 7 - 6 - (-80)/(-14). Let f = 311/63 + u. Factor 4/9*x**3 + f*x**2 + 0 + 0*x + 2/9*x**4.
2*x**2*(x + 1)**2/9
Let k = 12 - 19. Let t(h) = -h - 5. Let v be t(k). Factor -v*m**3 + 2*m**2 + 10*m**2 - 14*m**2.
-2*m**2*(m + 1)
Let t(p) = 3*p**2 - 7*p - 2. Let u(r) = -1 - 15*r + 7*r**2 + 2 - 6. Let c(b) = -15*t(b) + 6*u(b). Find v such that c(v) = 0.
0, 5
Let n = -180 - -186. Let z(h) be the first derivative of 0*h - 27/4*h**4 - 3*h**2 - 5 - 1/2*h**n + 7*h**3 + 3*h**5. Factor z(a).
-3*a*(a - 2)*(a - 1)**3
Let q(l) = 431*l - 7. Let c be q(3). Find b such that -1286*b**2 + b**3 + b**4 + c*b**2 = 0.
-1, 0
Factor -90*w**3 + 4243*w**5 - 35*w**4 - 100*w**2 - 4248*w**5 - 58*w + 18*w.
-5*w*(w + 1)*(w + 2)**3
Suppose 3*u = 2*d + 8, u - 3*u = 4*d - 16. Suppose 3*y - 4*y = -d. Factor 2*h + y*h + h**5 - 4*h.
h**5
Let w(o) be the second derivative of 3*o**3 + 14*o - 2*o**2 + 0 - 5/4*o**4 + 7/40*o**5. Solve w(m) = 0 for m.
2/7, 2
Let l(w) = w**3 + 37*w**2 + 71*w + 42. Let x(y) = y**3 + 19*y**2 + 35*y + 21. Let r(t) = -4*l(t) + 7*x(t). Factor r(d).
3*(d - 7)*(d + 1)**2
Suppose -122/11*x - 112/11*x**3 + 202/11*x**2 + 24/11 + 8/11*x**4 = 0. Calculate x.
1/2, 1, 12
Let a(n) be the third derivative of -n**6/60 - 149*n**5/30 - 1406*n**4/3 - 5476*n**3/3 + 664*n**2. Factor a(y).
-2*(y + 1)*(y + 74)**2
Let f be (-4)/(-14) - -6*((-1256)/210 - -6). Let -f*q**2 - 8/5 + 2*q = 0. What is q?
1, 4
Let v(a) = -a**4 - 26*a**3 - 40*a**2 + 38*a + 37. Let o(w) = 27*w**3 + 39*w**2 - 36*w - 36. Let f(p) = 4*o(p) + 3*v(p). Factor f(d).
-3*(d - 11)*(d - 1)*(d + 1)**2
Let i = -63 + 67. Factor -6*j**3 - 11*j**4 + 0 + 8*j**i + 6*j - 3 + 6*j**4.
3*(j - 1)**3*(j + 1)
Let d = -108 - 114. Let m = d + 447/2. Find i such that 0 - m*i + 1/2*i**2 = 0.
0, 3
Determine l, given that 0 + 0*l + 2/3*l**3 + 14/3*l**2 = 0.
-7, 0
Let r(v) = -194*v + 197. Let n be r(1). Factor 0 - 8/3*x + 16/3*x**2 - 6*x**4 + 2*x**n.
-2*x*(x + 1)*(3*x - 2)**2/3
Let k(s) be the second derivative of -4*s + 0 + 0*s**2 - 1/15*s**3 - 1/60*s**4. Solve k(f) = 0.
-2, 0
Let x be 2/(-8)*2 + (-25)/((-1350)/63). 