 + 0 = 0. What is j?
-2, -1, 0, 1
Let q(l) be the second derivative of 3*l**7/14 - l**6 + 9*l**5/20 + 3*l**4 - 2*l**3 - 18*l. Determine u so that q(u) = 0.
-1, 0, 1/3, 2
Suppose 12*u = 3*u. Factor 0*h**2 + 0*h + 2/7*h**3 - 2/7*h**4 + u.
-2*h**3*(h - 1)/7
Let f(t) be the third derivative of -t**7/6300 + t**6/900 + t**4/24 - 3*t**2. Let v(g) be the second derivative of f(g). Factor v(l).
-2*l*(l - 2)/5
Let c = 4 - -1. Suppose c*z = 2*z. Factor -4/5*a + 2/5*a**3 + z + 2/5*a**2.
2*a*(a - 1)*(a + 2)/5
Let g(i) be the third derivative of -i**5/120 + i**4/24 - i**3/12 - 8*i**2 + 2. Determine h so that g(h) = 0.
1
Let s(o) be the first derivative of -o**9/1512 + o**8/420 - o**6/90 + o**5/60 + o**3/3 - 8. Let d(l) be the third derivative of s(l). Factor d(m).
-2*m*(m - 1)**3*(m + 1)
Let w(l) be the third derivative of -l**6/480 + l**5/20 - 7*l**4/32 - 49*l**3/12 + 61*l**2. Solve w(h) = 0 for h.
-2, 7
Let a = 17 - 14. Let d(x) be the second derivative of -1/18*x**4 - 1/3*x**a + 0 - 2/3*x**2 - 2*x. What is p in d(p) = 0?
-2, -1
Let s be ((-7)/35)/((2/(-4))/1). Let p = 73/170 - 1/34. Factor s*u**2 - u + p.
(u - 2)*(2*u - 1)/5
Suppose 3*m - 19 = -5*h, -h = -0*h + 4*m - 14. Solve -4 + 9*a - 36*a**3 + 12*a + 18*a**2 - 2 + 3*a**h = 0 for a.
-2/3, 1/4, 1
Let u(k) be the first derivative of -k**4/48 + k**3/4 - 9*k**2/8 + 4*k + 3. Let v(n) be the first derivative of u(n). Let v(a) = 0. What is a?
3
Let t(k) be the second derivative of -k**7/2520 + k**6/720 + k**5/60 - k**4/2 - 6*k. Let s(x) be the third derivative of t(x). Solve s(y) = 0.
-1, 2
Let k(g) be the third derivative of g**7/140 + 3*g**6/20 + 11*g**5/40 + 25*g**2. Suppose k(v) = 0. Calculate v.
-11, -1, 0
Suppose 3*x - 8 = 5*x, -5*l = 2*x - 2. Find w such that 2*w**3 + w**4 - 2*w**4 + 1 + 0 - l*w + 0*w = 0.
-1, 1
Let u(g) = g**2 - 4*g + 3. Let f be u(3). Suppose -2*t - 5*l = -25, -2*t - 2*l + 3*l - 5 = 0. Factor 0 - 1 - y**3 + y + t + f + y**2.
-(y - 1)**2*(y + 1)
Let d(c) be the first derivative of c**4/30 - c**3/15 - 3*c + 2. Let u(w) be the first derivative of d(w). Suppose u(y) = 0. What is y?
0, 1
Let d(u) be the third derivative of u**8/1344 - u**7/840 - u**6/160 + u**5/240 + u**4/48 - 2*u**2. Factor d(q).
q*(q - 2)*(q - 1)*(q + 1)**2/4
Let p(f) be the first derivative of -f**4/20 + f**3/5 - f**2/5 - 10. Let p(j) = 0. Calculate j.
0, 1, 2
Suppose -9*i + 13*i = 8. Let o(f) be the third derivative of 0*f**4 + 0 + 0*f**5 + 0*f + 0*f**3 + 1/525*f**7 - f**i + 1/300*f**6. Factor o(w).
2*w**3*(w + 1)/5
Let v(c) be the second derivative of 0 - 2*c + 0*c**2 + 1/12*c**6 - 1/42*c**7 + 1/12*c**3 - 1/24*c**4 - 3/40*c**5. Factor v(j).
-j*(j - 1)**3*(2*j + 1)/2
Let l(y) be the third derivative of y**5/390 - y**3/39 + 4*y**2. Suppose l(i) = 0. Calculate i.
-1, 1
Suppose 0 = -2*d + k - 0*k + 6, 2*d - 6 = -2*k. Factor -3*i**2 + i**3 - d*i + 0*i**3 + 7*i - 2*i.
i*(i - 2)*(i - 1)
Let h = 1739/9 - 193. Let z(s) be the first derivative of -1 + 0*s + 1/3*s**2 - 2/15*s**5 - 1/6*s**4 + h*s**3. Suppose z(y) = 0. Calculate y.
-1, 0, 1
Let h be ((-1)/(-5))/((-4)/(-10)). Let l = -34 - -137/4. Suppose h*u**2 + l*u**3 + 1/4*u + 0 = 0. Calculate u.
-1, 0
Let y(g) = -g**3 - 5*g**2. Let c be y(-5). Let j = 1/65 - -257/195. Factor 2/3 - j*d**2 + c*d**3 + 0*d + 2/3*d**4.
2*(d - 1)**2*(d + 1)**2/3
Factor -12/11*o + 0 + 54/11*o**5 + 126/11*o**3 + 150/11*o**4 + 18/11*o**2.
6*o*(o + 1)**3*(9*o - 2)/11
Let u(q) = -q**3 + q**2 - 5*q. Let o(n) = n**3 - n**2 + 3*n. Let s(r) = r**2 + 3*r - 5. Let h be s(-5). Let x(g) = h*o(g) + 3*u(g). Solve x(l) = 0.
0, 1
Let u(p) be the first derivative of -4*p**5/25 + 7*p**4/5 - 24*p**3/5 + 8*p**2 - 32*p/5 - 2. Suppose u(d) = 0. What is d?
1, 2
Let m(a) be the third derivative of a**6/180 + a**5/30 + a**4/18 + a**2. Factor m(o).
2*o*(o + 1)*(o + 2)/3
Let o(f) be the third derivative of 0*f**7 + 0*f**5 + 0 - 1/30*f**6 + 0*f**3 - 6*f**2 + 0*f + 1/12*f**4 + 1/168*f**8. Determine a, given that o(a) = 0.
-1, 0, 1
Let x(a) be the second derivative of -a**7/105 + a**5/50 + 6*a. Solve x(v) = 0.
-1, 0, 1
Suppose i + 3 = -0*i. Let w be i/(-12) - (-1)/4. Suppose -w + 3/4*u - 1/4*u**2 = 0. Calculate u.
1, 2
Let g(h) be the third derivative of h**5/180 + h**4/18 + h**3/6 + 11*h**2. Factor g(r).
(r + 1)*(r + 3)/3
Let o(j) = -j**2 - 8*j. Let k be o(-8). Suppose i + 0*i - 4 = k. Factor 2*l - 2*l**4 - 4*l**3 + 6*l**2 + 2*l**3 - i + 0*l**3 + 0*l**2.
-2*(l - 1)**2*(l + 1)*(l + 2)
Let p(z) = 7*z**4 + z**3 + 5*z**2 - 5*z - 5. Let f(d) = d**4 - d**3 + d**2 - d - 1. Let x(s) = -5*f(s) + p(s). Suppose x(v) = 0. What is v?
-3, 0
Let d = -120 + 1441/12. Let g(u) be the second derivative of 0 + 0*u**2 + d*u**4 + 0*u**3 + 1/20*u**5 - 4*u - 1/30*u**6 - 1/42*u**7. Solve g(b) = 0.
-1, 0, 1
Let -5 - 3*n**2 - 77*n**2 - 45*n**3 + 5 + 10 - 25*n = 0. What is n?
-1, 2/9
Let s(g) = -g**3 + 8*g**2 + 9*g + 3. Let y be s(9). Suppose -m - 4 = -w - 0*w, -2*m + 1 = w. Determine h, given that 2*h**y - w*h**3 + h**2 - 2*h**2 = 0.
-1, 0
Let b be (-4)/(-12)*(-11 - -11). Suppose 2/15*u**3 + 4/15*u - 2/5*u**2 + b = 0. Calculate u.
0, 1, 2
Factor 128/7*u + 388/7*u**2 + 380/7*u**4 + 556/7*u**3 + 100/7*u**5 + 16/7.
4*(u + 1)**3*(5*u + 2)**2/7
Let z(j) = -8*j - 4. Let d be z(-4). Suppose 5*r + 4*t - 6 - d = 0, 3*r + 5*t - 23 = 0. Factor m**5 - r*m + 5*m + 2*m**4 + 0*m**4 - 2*m**2.
m*(m - 1)*(m + 1)**3
Let x = 38 - 35. Solve 2/7*i**x + 10/7*i + 4/7 + 8/7*i**2 = 0.
-2, -1
Let m = -6 - -5. Let p(j) = j**5 - 4*j**4 - 7*j**3 - 2*j**2 - 4*j + 6. Let w(o) = -o**4 - o**3 - o + 1. Let i(q) = m*p(q) + 5*w(q). Factor i(b).
-(b - 1)**2*(b + 1)**3
Let n(j) be the first derivative of 4*j**6/3 - 14*j**5/5 + j**4 + 2*j**3/3 + 15. Let n(v) = 0. Calculate v.
-1/4, 0, 1
Let f(k) be the third derivative of -k**8/1344 + k**6/160 - k**5/120 + 5*k**2. Factor f(y).
-y**2*(y - 1)**2*(y + 2)/4
Factor 0 - 4/7*m**2 - 2/7*m**3 + 0*m.
-2*m**2*(m + 2)/7
Let d(k) be the third derivative of k**6/120 - k**5/30 + 7*k**2. Factor d(x).
x**2*(x - 2)
Let u be -3*(-1 + 51/54). Let t(p) be the third derivative of 0 + 1/60*p**5 - u*p**3 + 0*p**4 - 3*p**2 + 0*p. Find i, given that t(i) = 0.
-1, 1
Suppose 3*q - 10 = -2*q, -2*h = -3*q + 16. Let s(j) = j**2 + 5*j. Let z be s(h). Solve 1/3*l**4 + l**3 + 1/3*l + l**2 + z = 0 for l.
-1, 0
Let v be (0/(-3))/(1 - 0). Factor -3*y - 2*y**2 + 0*y + v*y**2 - y.
-2*y*(y + 2)
Let m(d) = -3*d**3 + 6*d**2 - 3*d - 1. Let y(l) = -l**4 + l**3 + l**2 - l - 1. Let b(i) = -2*m(i) + 2*y(i). Suppose b(o) = 0. What is o?
0, 1, 2
Let i(w) be the third derivative of 0*w**3 + 0*w**6 + 3*w**2 + 1/15*w**5 + 0 - 1/70*w**7 + 0*w + 0*w**4 - 1/336*w**8. Solve i(v) = 0 for v.
-2, 0, 1
Let r(y) be the first derivative of 1/3*y**3 + 1 + 0*y**2 + 0*y + 1/180*y**6 + 0*y**4 - 1/60*y**5. Let i(c) be the third derivative of r(c). Factor i(h).
2*h*(h - 1)
Solve -1815*p + 4*p**3 + 1799*p + 4*p**4 + 12*p**2 + 12*p**3 - 16 = 0.
-2, -1, 1
Let r(q) be the second derivative of -q**7/336 - q**6/360 + q**5/48 + q**4/24 - 2*q**3/3 - q. Let d(g) be the second derivative of r(g). Factor d(y).
-(y - 1)*(y + 1)*(5*y + 2)/2
Let r be (8/6)/(5/15). Factor r*v**2 - 3*v**4 - v**5 - 9*v + 3*v + 6*v.
-v**2*(v - 1)*(v + 2)**2
Let o(f) = -6*f - 3*f**2 + 1 + f + 2*f**2 + 0*f + 5*f**3. Let k(s) = -21*s**3 + 3*s**2 + 21*s - 3. Let c(r) = 2*k(r) + 9*o(r). Factor c(b).
3*(b - 1)**2*(b + 1)
Let j(i) be the third derivative of i**10/453600 - i**8/20160 + i**7/7560 - i**5/20 - 7*i**2. Let g(w) be the third derivative of j(w). Factor g(c).
c*(c - 1)**2*(c + 2)/3
Let k = 51/106 + 1/53. Factor 1/2*f**5 + 0 - k*f**4 + 0*f**2 + 0*f**3 + 0*f.
f**4*(f - 1)/2
Let z(g) be the second derivative of g**5/100 + 16*g. Factor z(m).
m**3/5
Let s(h) = -4 + h**2 - 7*h**4 + 4*h**5 + 9 - 2*h**5 - 6*h**2. Let z(n) = -n**5 + 3*n**4 + 2*n**2 - 2. Let l(v) = 6*s(v) + 15*z(v). Suppose l(y) = 0. What is y?
0, 1
Let h(m) = 2*m**3 + 8*m**2 + 6*m + 6. Let l be h(-5). Let a = l - -668/9. Factor 4/9*y**4 + 0 - 4/9*y**2 - a*y**5 + 0*y**3 + 2/9*y.
-2*y*(y - 1)**3*(y + 1)/9
Let m(w) be the second derivative of w**6 - 27*w**5/20 - 3*w**4/4 + w**3 + 6*w. Solve m(x) = 0.
-1/2, 0, 2/5, 1
Let s(g) = -g**4 + g**3 + 2*g**2 + 2*g + 2. Let b(o) = o + 1. Let m(u) = -2*b(u) + s(u). Factor m(a).
-a**2*(a - 2)*(a + 1)
Factor 4/9*h + 2/9*h**2 - 56/9*h**3 + 0.
-2*