(l). What is h in b(h) = 0?
-1, 0, 1
Factor 17*p**3 + 19*p**3 - 32*p**3 - 20*p**2.
4*p**2*(p - 5)
Let v be 1*2*(-24)/(-16). Suppose j**2 - j**v + 0*j**3 + 11*j - j**4 - 10*j = 0. What is j?
-1, 0, 1
Let q(n) = n**4 + n**2. Let b(r) = 15*r**4 - 45*r**2 - 90*r - 40. Let y(g) = -b(g) + 10*q(g). Suppose y(l) = 0. Calculate l.
-2, -1, 4
Suppose -2 = -9*l + 16. Let 3/4*v**l - 3/4*v**4 + 3/4*v**5 + 0*v - 3/4*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let y(c) = -2*c - 4. Let l be y(-6). Factor -2*a**2 + a - 18 - 5*a - l*a.
-2*(a + 3)**2
Let u(x) be the third derivative of x**11/1496880 + x**10/680400 - x**5/15 + x**2. Let s(g) be the third derivative of u(g). Suppose s(t) = 0. Calculate t.
-1, 0
Let z = 10 + -5. Factor -7*d**3 - 19*d**4 - z*d**3 - 9*d**4 + 4*d**3.
-4*d**3*(7*d + 2)
Let b be (6/(-16))/(2/(-16)). Determine m so that -1/6*m**b + 0 + 1/3*m - 1/6*m**2 = 0.
-2, 0, 1
Suppose -3 + 11 = x. Let t be (-2)/4*(x + -8). Find o, given that 2/3*o - 4/3*o**2 - 2*o**3 + t = 0.
-1, 0, 1/3
Let y be (-42 + 0)*(-4)/(-20). Let s = -41/5 - y. Suppose 0*j**2 - 3/5*j - 2/5 + s*j**3 = 0. Calculate j.
-1, 2
Let k(m) be the first derivative of -m**6/18 + m**5/15 + m**4/6 - 2*m**3/9 - m**2/6 + m/3 + 7. Let k(w) = 0. Calculate w.
-1, 1
Let c(d) be the first derivative of d**6/30 + 2*d**5/25 - 2*d**3/15 - d**2/10 + 7. Find a, given that c(a) = 0.
-1, 0, 1
Factor 45 + 120*d + 110*d**2 + 40*d**3 - 23*d**4 + 13*d**4 + 15*d**4.
5*(d + 1)**2*(d + 3)**2
Factor 0*z + 2*z**3 + 2*z - 191*z**2 + 187*z**2.
2*z*(z - 1)**2
Let u be (7/(-6))/((-4)/6 + 0). Determine n so that -1/2 + 7/4*n - u*n**3 + 5/4*n**4 - 3/4*n**2 = 0.
-1, 2/5, 1
Let k be 1/((4/2)/1). Suppose -1/2*y + y**2 - k*y**3 + 0 = 0. Calculate y.
0, 1
Suppose n + 9 + 21 = -2*g, 3*n + 3*g + 93 = 0. Let b = n + 65/2. Let 0 + b*r**2 - 3/4*r**3 + 1/4*r**4 + 0*r = 0. Calculate r.
0, 1, 2
Factor 31*y**2 + 14*y - 4*y**3 - 24*y**2 + 0*y + 3.
-(y - 3)*(y + 1)*(4*y + 1)
Let z(v) = -v - 3. Let p be z(-11). Suppose -4*r + p = -0. Let -2*s**5 + s**3 - s**r + s**2 + s**5 = 0. What is s?
-1, 0, 1
Suppose -21 = -4*y - 5. Factor 18*x**2 + 6 + 12*x**3 - 3 + 5*x**4 - 2*x**y + 12*x.
3*(x + 1)**4
Let s(k) = 2*k**4 - 18*k**3 + 11*k - 2. Let j(a) = a**4 - 6*a**3 + 4*a - 1. Let v(f) = -7*j(f) + 2*s(f). Solve v(u) = 0 for u.
-1, 1
Let s(h) = 5*h**2 - 1. Let i be s(1). Find d, given that 32*d**4 + i*d**3 + 14*d**5 + 4*d**3 - 22*d - 2*d**2 - 22*d**2 - 4 - 4*d**2 = 0.
-1, -2/7, 1
Let h(s) = -3*s**5 + 4*s**4 - 8*s**3 + s**2. Let l(j) = -6*j**5 + 9*j**4 - 15*j**3 + 2*j**2. Let y(k) = -5*h(k) + 3*l(k). Factor y(z).
-z**2*(z - 1)**2*(3*z - 1)
Let h(q) be the third derivative of q**8/1344 + q**7/280 - q**6/80 - q**5/24 + 7*q**4/32 - 3*q**3/8 - q**2. Suppose h(d) = 0. What is d?
-3, 1
Let t be (0 + 0)/(6 - 9). Determine j, given that t - 4/13*j + 6/13*j**3 + 2/13*j**2 = 0.
-1, 0, 2/3
Solve h**3 + 4*h**2 - 10*h + 2 + 7*h + 8*h = 0 for h.
-2, -1
Let d(f) be the second derivative of f**7/280 + f**6/120 - f**5/120 - f**4/24 - f**3/24 + f**2/2 + f. Let u(x) be the first derivative of d(x). Factor u(r).
(r - 1)*(r + 1)**2*(3*r + 1)/4
Suppose -3*f + 5 = -3*k - 4, -5 = -5*k. Suppose -7*i - 4*x + 16 = -3*i, -2*i - x = -f. Factor 3*u**2 + 0 + i*u - 3/2*u**3 - 9/2*u**4.
-3*u**2*(u + 1)*(3*u - 2)/2
Let s = 817/77580 + 1/1724. Let m(r) be the third derivative of -1/72*r**4 + 0*r**3 + s*r**5 - r**2 + 0 - 1/360*r**6 + 0*r. Factor m(a).
-a*(a - 1)**2/3
Let q(p) = -7*p - 4 + 2*p**2 - 1 + 7*p**3 + 3 + 0*p**2. Let k(m) = -13*m**3 - 4*m**2 + 13*m + 4. Let f(d) = -6*k(d) - 11*q(d). Factor f(t).
(t - 1)*(t + 1)*(t + 2)
Factor 2/11*o**3 + 0*o + 0 + 4/11*o**2.
2*o**2*(o + 2)/11
Let h(k) be the second derivative of -7*k**6/75 + 23*k**5/50 - 9*k**4/10 + 13*k**3/15 - 2*k**2/5 - 5*k. Factor h(g).
-2*(g - 1)**3*(7*g - 2)/5
Let g(r) be the second derivative of -13*r**7/3780 + r**6/540 - r**4/4 - 5*r. Let o(m) be the third derivative of g(m). Factor o(q).
-2*q*(13*q - 2)/3
Let u be 8/682 - 2/(-11). Let f = u - -44/93. Determine j, given that -f*j**2 + 2/3*j + 0 = 0.
0, 1
Let m(t) be the second derivative of t**7/4 + t**6/10 + 9*t. Factor m(f).
3*f**4*(7*f + 2)/2
Let v be -2 + 4 + 1032/(-126). Let y = v - -55/7. What is w in 2/3 + w - y*w**2 = 0?
-2/5, 1
Let 2/15*t**5 + 172/3*t**3 + 836/3*t**2 + 14/3*t**4 + 2662/15 + 1210/3*t = 0. What is t?
-11, -1
Let a(g) be the third derivative of 1/2*g**3 + 1/1080*g**6 + 1/36*g**4 + 0*g + 0 + 2*g**2 - 1/120*g**5. Let q(y) be the first derivative of a(y). Factor q(n).
(n - 2)*(n - 1)/3
Suppose -w = -4*u + 13, -u - 2*w = w + 13. Suppose 4*y - 6 = u. Suppose -2 + p**y - 3 + 4 + 0 = 0. Calculate p.
-1, 1
Suppose -775 = -8*v + 3*v. Factor 11*w**3 - 3*w**4 - v*w**2 + 152*w**2 - 5*w**3.
-3*w**2*(w - 1)**2
Let h(c) be the second derivative of 1/21*c**3 + 1/70*c**5 - c**2 + 1/420*c**6 - c + 0 + 1/28*c**4. Let t(o) be the first derivative of h(o). Factor t(k).
2*(k + 1)**3/7
Suppose -2*z - 3*z + 30 = 0. Determine d, given that -6*d**2 + 10*d - d**2 + 3*d**2 + z*d - 16 = 0.
2
Suppose 4*g - 5*g + 2 = 0. Let c be (-1 + (-4)/(-20))*-5. Factor 4 - c*o**g + 0*o**2 + 5*o**2 - 4*o.
(o - 2)**2
Let k be 2/(-12) + (-6)/1404*-291. Let -18/13*j**2 - k*j**3 + 0 - 4/13*j = 0. What is j?
-1, -2/7, 0
Suppose -7*g + 15 + 13 = 0. Let m(w) be the second derivative of 0 + 4*w + 1/70*w**5 + 0*w**2 + 1/42*w**g + 0*w**3. Factor m(s).
2*s**2*(s + 1)/7
Factor 3/4*o**3 + 0*o + 0 - 3/4*o**2 + 3/4*o**4 - 3/4*o**5.
-3*o**2*(o - 1)**2*(o + 1)/4
Let r(v) be the second derivative of 0*v**3 + v + 1/12*v**4 + 0 - 1/2*v**2. Determine m so that r(m) = 0.
-1, 1
What is k in -6/11*k**4 - 10/11*k**3 + 2/11*k**2 + 10/11*k + 4/11 = 0?
-1, -2/3, 1
Let t(j) be the third derivative of -j**5/315 + j**4/252 - 8*j**2. Suppose t(f) = 0. What is f?
0, 1/2
Let x(d) be the first derivative of 3 + 2/13*d**2 - 2/39*d**3 + 0*d. Determine j so that x(j) = 0.
0, 2
Let n(c) = 3*c**5 - 13*c**4 + 10*c**3 + 7*c. Let r(f) = f**5 - 4*f**4 + 3*f**3 + 2*f. Let y(a) = -2*n(a) + 7*r(a). Determine i, given that y(i) = 0.
0, 1
Let y be 28/(-21)*9/(-4). Let h(f) be the second derivative of 0 + 1/50*f**5 - 1/15*f**y - 1/30*f**4 + f + 1/5*f**2. Factor h(j).
2*(j - 1)**2*(j + 1)/5
Let u(g) be the first derivative of 0*g**5 + 0*g**2 + 0*g + 0*g**3 + 3 + 1/9*g**6 - 1/6*g**4. Determine w, given that u(w) = 0.
-1, 0, 1
Let x be 5*(-8)/(-20) - -2. Let g(l) = 2*l**3 + 3*l**2 + 3*l - 3. Let j(y) = 2*y**3 + 2*y**2 + 2*y - 2. Let n(d) = x*g(d) - 5*j(d). Factor n(c).
-2*(c - 1)**2*(c + 1)
Let c(n) = -n**4 - n**3 - 2*n**2 + 6*n - 2. Let y(f) = -3*f**4 - 2*f**3 - 3*f**2 + 13*f - 5. Let g(d) = 5*c(d) - 2*y(d). Suppose g(a) = 0. Calculate a.
-2, 0, 1, 2
Suppose -3*z - 4 = -4*d, 2*d - 2*z = -7*z + 28. Factor d*c + c - c**2 - 3*c - c.
-c*(c - 1)
Let j = 1 - -2. Suppose l = -2*k + 4*k + 14, 4*k + 4 = -l. Factor -2*a**2 + l*a**5 - a**j - 14*a**4 + 5*a**3 + 4*a**2.
2*a**2*(a - 1)**2*(4*a + 1)
Let o(y) = -y - 3. Let l be o(-6). Suppose 0 = -l*c + 3 + 3. Find r such that 1/3*r**c - 1/3*r**3 + 0 + 0*r = 0.
0, 1
Suppose -9 = -5*d + 1. Suppose 2*r = -d*p + 4, -9 = 5*r + 1. Find b, given that 30*b + 50*b**p + 140*b**3 + 26*b + 99*b**2 + 8 + 39*b**2 = 0.
-1, -2/5
Solve 6/5*z + 0 + 12/5*z**3 - 27/5*z**2 = 0.
0, 1/4, 2
Let z be 0 + 5 + (30 - 32). Factor 2/5*p**z + 0*p + 0 - 4/5*p**4 + 0*p**2.
-2*p**3*(2*p - 1)/5
Suppose -2*p + c + 6 = -0*p, p - 2*c - 6 = 0. Let n(z) be the first derivative of 3/10*z**5 - 1/2*z**3 + 0*z + 1 + 0*z**4 + 0*z**p. Suppose n(y) = 0. What is y?
-1, 0, 1
Factor 4*m**2 + m + m + 6*m.
4*m*(m + 2)
Suppose 0 = 49*t - 47*t - 8. Suppose 2/11*p**2 + 0 - 4/11*p**3 + 0*p + 2/11*p**t = 0. Calculate p.
0, 1
Let x(r) = r**2 - r - 1. Let w(y) = 6*y**2 - 3. Let i(n) = -w(n) + 3*x(n). Solve i(s) = 0.
-1, 0
Let i(y) be the second derivative of y**10/30240 + y**9/7560 - y**7/1260 - y**6/720 - y**4/6 - 2*y. Let p(s) be the third derivative of i(s). Factor p(f).
f*(f - 1)*(f + 1)**3
Let b = 17/10 - 6/5. Let q(v) be the first derivative of 0*v**2 + 0*v**4 + 1/10*v**5 - 1/3*v**3 - 1 + b*v. Solve q(r) = 0 for r.
-1, 1
Let f be 2/11 - (-31)/11. Suppose 0 = -h + 5*t + 28, -h - f*t - 30 = -6*h. Factor -1/3*x**5 + 0*x**h + 0 + 1/3*x + 2/3*x**4 - 2/3*x**2.
-x*(x - 1)**3*(x + 1)/3
Factor -13*y**3 - 112*y**4 - 183*y**5 + 39*y**5 + 9*y**3 + 8*y**2.
-4*y**2*(2*