 + 5. Let d(k) = k + 3. Let m be d(-1). Solve -2*x**f + 0*x**3 - m*x + 5*x**2 + 2*x**3 - 3*x**2 = 0 for x.
-1, 0, 1
Suppose -4/5*j + 0 + j**2 - 1/5*j**3 = 0. Calculate j.
0, 1, 4
Let v = -51 + 54. Let k(w) be the second derivative of 1/80*w**5 + 0 + 0*w**3 + 1/120*w**6 - v*w - 1/168*w**7 - 1/48*w**4 + 0*w**2. Factor k(t).
-t**2*(t - 1)**2*(t + 1)/4
Find x, given that -2/3*x**2 - 2/3*x**5 + 0 + 2/3*x**4 + 2/3*x**3 + 0*x = 0.
-1, 0, 1
Let y(o) = -o - 6. Let c be y(-8). Let g be (-26)/39*3/(-4). Determine q, given that g*q**c + 1/2*q - 1 = 0.
-2, 1
Let y(k) be the third derivative of -1/60*k**4 + 2/525*k**7 - 4*k**2 + 1/840*k**8 + 0*k**3 - 1/75*k**5 + 0 + 0*k**6 + 0*k. Suppose y(g) = 0. What is g?
-1, 0, 1
Let r(d) be the second derivative of 3*d + 0*d**2 - 5/78*d**4 - 3/130*d**5 - 2/39*d**3 + 0 + 1/195*d**6 + 1/273*d**7. Factor r(m).
2*m*(m - 2)*(m + 1)**3/13
Let o(h) = h**4 - h**2 - h. Suppose -5*t - 17 = -2*w, -2*w + 8 = -t - t. Let c(k) = -5*k**4 + 4*k**3 + 5*k**2 - k. Let r(v) = w*c(v) + 3*o(v). Factor r(b).
-2*b*(b - 2)*(b - 1)*(b + 1)
What is h in 10 + 3*h**2 + 3*h - 3*h**4 - 38*h + 42*h**2 + 8*h**4 - 25*h**3 = 0?
1, 2
Let b(j) be the second derivative of j**5/10 + j**4/3 + 6*j. What is n in b(n) = 0?
-2, 0
Let c be (-5)/(15/(-12))*1. Suppose -h - 15 = -c*h. Solve 5*f**3 - h*f**2 - 11*f**3 + f**2 = 0 for f.
-2/3, 0
Let y = 43/6 - 77/12. Factor 0 + y*v**2 + 3/4*v.
3*v*(v + 1)/4
Let t(m) = -m**2 + m + 1. Let x be (-8)/(-24) - 2/(-3). Let j(z) = 3*z**2 + 3*z - 13. Let g(n) = x*j(n) + 5*t(n). Factor g(p).
-2*(p - 2)**2
Let o = 4 - -5. Let -4*t**4 - o*t - 3*t**5 + 9*t + t**4 = 0. What is t?
-1, 0
Factor 3/2*g**2 + 3 - 9/2*g.
3*(g - 2)*(g - 1)/2
Let b be ((-2)/(-1))/((-10)/15). Let a(w) = -6*w**2 + 20*w - 8. Let g(x) = 2*x**2 - 7*x + 3. Let k(j) = b*a(j) - 8*g(j). Solve k(h) = 0.
0, 2
Let x(w) be the third derivative of -w**6/420 - w**5/210 + w**4/84 + w**3/21 - 4*w**2. Factor x(z).
-2*(z - 1)*(z + 1)**2/7
Let k(j) be the first derivative of j**6/27 + 4*j**5/45 - j**4/18 - 4*j**3/27 + 15. What is t in k(t) = 0?
-2, -1, 0, 1
Let j(w) be the third derivative of 0*w - 1/24*w**4 - 1/360*w**6 - 1/60*w**5 - 1/18*w**3 - 2*w**2 + 0. Suppose j(c) = 0. Calculate c.
-1
Let z(v) be the second derivative of -v**8/7560 - v**7/1260 - v**6/540 - v**5/540 - v**3/2 + 3*v. Let w(h) be the second derivative of z(h). Solve w(y) = 0.
-1, 0
Let v = 14 + -5. Let m = v + -9. Factor 0*x + m + 4/5*x**2 + 14/5*x**4 - 18/5*x**3.
2*x**2*(x - 1)*(7*x - 2)/5
Let k(f) be the first derivative of -f**6/1080 - f**5/45 - 2*f**4/9 - f**3 - 4. Let d(i) be the third derivative of k(i). Factor d(s).
-(s + 4)**2/3
Let w(v) = 2*v**4 - 3*v**3 + 3*v. Let d(f) = -4*f**4 + 5*f**3 - 5*f. Let u(x) = -6*d(x) - 10*w(x). Factor u(i).
4*i**4
Let u(z) = -z**2 + 14*z + 15. Let d be u(15). Find p such that 8/5*p**3 + d - 6/5*p**4 - 2/5*p**2 + 0*p = 0.
0, 1/3, 1
Let j(w) be the second derivative of -w**6/6 + w**5 - 5*w**4/4 - 3*w. Factor j(u).
-5*u**2*(u - 3)*(u - 1)
Let h = -5/6 + 1. Determine y, given that -h*y**2 + 1/3*y - 1/6 = 0.
1
Let c(y) be the third derivative of y**7/70 + y**6/10 - 2*y**4 - 8*y**3 - 9*y**2. Factor c(o).
3*(o - 2)*(o + 2)**3
Let b(c) = 6*c + 3. Let d(q) = q**2 - 5*q - 2. Let x = -1 - 3. Let o(j) = x*b(j) - 3*d(j). Factor o(y).
-3*(y + 1)*(y + 2)
Let r = -88 - -88. Let y(d) be the first derivative of 0*d**2 + 1 + r*d + 2/3*d**3. Determine o, given that y(o) = 0.
0
Let z(y) be the third derivative of -y**4/24 + 5*y**3/3 - 2*y**2. Let j be z(7). Factor 1 - 3*c**3 + c**4 + j*c**3 - 2*c**2.
(c - 1)**2*(c + 1)**2
Let r(i) be the third derivative of i**6/660 - i**5/110 - i**4/132 + i**3/11 + 4*i**2 + 1. Factor r(s).
2*(s - 3)*(s - 1)*(s + 1)/11
Suppose 4*c + 29 = 3*k - 10, 8 = 2*c + 4*k. Let u(z) = z**3 + 6*z**2 - z - 3. Let m be u(c). Solve -f**2 + 2*f**2 - f**5 + f**m - f**4 + 0*f**5 = 0 for f.
-1, 0, 1
Let t(m) be the second derivative of m**5/330 - m**4/22 + 3*m**3/11 + m**2/2 + m. Let g(a) be the first derivative of t(a). Let g(c) = 0. Calculate c.
3
Let m(c) be the third derivative of -1/45*c**6 - 1/315*c**7 + c**2 + 0 - 1/15*c**5 - 1/9*c**4 - 1/9*c**3 + 0*c. Solve m(r) = 0 for r.
-1
Let n be ((-8)/6)/((-3)/9). Suppose -6*l + 4*l + 10 = 0. Find u such that u + 4*u**3 - 2*u + l*u**n - 6*u**2 + u**4 - 3*u = 0.
-1, -2/3, 0, 1
Let s be ((-18)/189)/((-8)/14). Let m(o) be the first derivative of 0*o**2 + 3/20*o**5 + s*o**6 + 0*o + 0*o**3 - 3 - 1/16*o**4. Factor m(j).
j**3*(j + 1)*(4*j - 1)/4
Let p(k) be the first derivative of 0*k - 1/15*k**3 - 1/10*k**2 - 3. Factor p(a).
-a*(a + 1)/5
Let k be (1/((-2)/(-4)))/1. Factor 2/7*m**3 + 0 - 2/7*m**4 + 0*m + 0*m**k.
-2*m**3*(m - 1)/7
Let j = -7 - -2. Let m(c) = c**2 + c. Let a(w) = -4*w**2 - w + 4. Let h(g) = j*m(g) - a(g). Let h(n) = 0. What is n?
-2
Let x(m) = m - 4. Let w be x(2). Let b be w/(-12) + (-13)/(-12). Let -7/4*i**2 - b*i**5 + 0 + 3/4*i**3 + 7/4*i**4 + 1/2*i = 0. Calculate i.
-1, 0, 2/5, 1
Let v(l) be the first derivative of -2*l**3/27 + 2*l**2/9 - 38. Suppose v(h) = 0. Calculate h.
0, 2
Suppose d = 9 - 5. Suppose d*r = r. Factor r + 0*p + 2/5*p**2.
2*p**2/5
Let m be ((-5)/2)/((-1)/2). Suppose 2208*y**2 + 1061*y**4 - 187*y**m - 672*y + 64 - 17*y**4 - 2384*y**3 + 25*y**5 = 0. What is y?
2/9, 2
Let l(u) be the third derivative of u**7/2520 + u**6/540 + u**5/360 - u**3/2 - 2*u**2. Let c(j) be the first derivative of l(j). Factor c(f).
f*(f + 1)**2/3
Let w(s) be the second derivative of 3*s**5/140 + 11*s**4/28 + 4*s - 3. Factor w(l).
3*l**2*(l + 11)/7
Let w(i) = -i**2 + 12*i + 15. Let l be w(13). Suppose -3*u**4 - 2*u**4 - 3*u**2 + u**4 + u - l*u**2 + 8*u**3 = 0. Calculate u.
0, 1/2, 1
Let u(a) be the second derivative of a**6/480 + a**5/80 + a**4/32 + a**3/24 - 5*a**2/2 - 2*a. Let k(c) be the first derivative of u(c). Let k(o) = 0. What is o?
-1
Let x be 16/(-6) + (-4)/(-6). Let a be 0/((x + 1)*1). Factor -1/2*h**3 + a - 2*h**2 + 2*h**4 + 1/2*h.
h*(h - 1)*(h + 1)*(4*h - 1)/2
Let h(i) = 5*i**3 + 12*i**2 - 3*i + 6. Let g(f) = -f**3 - f**2 - f - 1. Let a(d) = 6*g(d) + h(d). Factor a(y).
-y*(y - 3)**2
Let l be (-1 - 0)*0/(-2). Suppose n + 5*x - 3*x + 7 = 0, 5*n + 3*x + 7 = l. What is k in -n + 4*k + k**2 - 4*k = 0?
-1, 1
Suppose 0 = 2*n + 8, 2*w + n - 22 = 4*n. Let g be (30/(w - 2))/2. Find c such that -4*c**4 - c**2 + 4*c**5 - 6*c**g + 5*c**2 + 2*c = 0.
-1, 0, 1
Suppose -4*k - 60 = -19*k. Solve 1/2*h**k - 1/2*h**2 + 0 - 2*h**5 + 0*h + 2*h**3 = 0.
-1, 0, 1/4, 1
Let v(z) be the first derivative of 3 - 1/16*z**4 + 1/8*z**2 - 1/4*z + 1/12*z**3. Factor v(n).
-(n - 1)**2*(n + 1)/4
Let z(n) be the second derivative of -2*n**6/15 - n**5/5 + n**4/3 + 2*n**3/3 - 4*n. Factor z(s).
-4*s*(s - 1)*(s + 1)**2
Let n(z) be the second derivative of -z**7/84 + z**6/60 + z**5/8 - z**4/24 - 2*z**3/3 - z**2 - 5*z. Factor n(y).
-(y - 2)**2*(y + 1)**3/2
Let m(z) be the second derivative of -z**7/231 - 7*z**6/165 + z**5/55 + 7*z**4/33 - z**3/33 - 7*z**2/11 - 13*z. Solve m(p) = 0 for p.
-7, -1, 1
Suppose -5*m - 7*m = -m. Solve m + 0*v + 2/3*v**2 + 2/3*v**5 - 2/3*v**4 - 2/3*v**3 = 0.
-1, 0, 1
Let k(o) be the third derivative of -1/180*o**6 - 1/15*o**5 + 0 + 8/105*o**7 + 3*o**2 + 0*o**3 - 2/63*o**8 + 0*o - 1/36*o**4. Solve k(q) = 0.
-1/4, 0, 1
Let x(w) be the second derivative of -w**6/135 - w**5/90 + w**4/18 + 5*w**3/27 + 2*w**2/9 + 2*w. Find d such that x(d) = 0.
-1, 2
Suppose -2*f - 2*f + 16 = 0. Suppose -f*s = -s. Factor 0 - a**4 + a**3 + s*a**5 - a**5 + a**2 + 0.
-a**2*(a - 1)*(a + 1)**2
Let l = 13 + -18. Let g = l + 5. Find p, given that -2/7*p**2 + 0 + g*p + 2/7*p**3 = 0.
0, 1
Let x be (-6)/9 - 147/1170. Let t = 1/130 - x. Factor -2/5*a - t*a**2 + 6/5*a**3 + 0.
2*a*(a - 1)*(3*a + 1)/5
Let h = 37/57 + -6/19. Let -4/3*k**2 - 2/3 + 5/3*k + h*k**3 = 0. What is k?
1, 2
Let z be (2/(-1))/(60/8 - 8). Let 0 + 1/6*n**z + 2/3*n**3 + 1/3*n + 5/6*n**2 = 0. Calculate n.
-2, -1, 0
Let c(d) be the third derivative of 0*d - 1/16*d**4 + d**2 - 1/80*d**5 + 0*d**3 + 0. Determine b so that c(b) = 0.
-2, 0
Let q(r) be the third derivative of -r**6/120 + r**5/30 + r**2. Determine h, given that q(h) = 0.
0, 2
Suppose 0 = 4*m - 4*s - 32, -5*s + 30 = 7*m - 2*m. Suppose 4 - m = -b. Suppose 0 + 2/3*h**2 - 2/3*h**b + 0*h = 0. Calculate h.
0, 1
Let n(b) be the second derivative 