*2 + 0 + 1/5*i.
-i*(i - 1)/5
Suppose -3*l - 21 = x - 2*x, -l - 5*x = -9. Let i = l + 7. Determine g, given that -2*g**3 + g + i + 4*g**3 - g**2 - 3*g**3 = 0.
-1, 1
Suppose 5*t = -5*z, 0*t + 3*z = -5*t. Let x(m) be the second derivative of 1/12*m**4 + t*m**2 + 0*m**3 + 1/20*m**5 + 3*m + 0. Let x(w) = 0. What is w?
-1, 0
Let w(x) be the first derivative of -54*x**5/5 - 27*x**4/2 + 12*x**3 + 28*x**2 + 16*x - 19. Factor w(v).
-2*(v - 1)*(3*v + 2)**3
Let o(d) be the third derivative of 0 + 0*d + 0*d**3 + 0*d**5 + 1/84*d**8 - 2/105*d**7 + 0*d**4 + 2*d**2 + 0*d**6. Let o(w) = 0. What is w?
0, 1
Suppose 4*y + y = 400. Let v be y/(-72)*3/(-2). Factor -10/3*b**2 + 4*b**4 - 2/3 + v*b**5 + 4/3*b**3 - 3*b.
(b - 1)*(b + 1)**3*(5*b + 2)/3
Let j(c) be the first derivative of -c**6/540 + c**5/180 + c**4/18 + 2*c**3/3 + 3. Let l(m) be the third derivative of j(m). Determine o, given that l(o) = 0.
-1, 2
Let k(d) = d**2 + 1. Let r be k(-1). Let s(v) = v**3 + v**2 - v + 4. Let m be s(0). Find u, given that 0*u + 0*u + u**5 + m*u - 3*u - r*u**3 = 0.
-1, 0, 1
Let d be (-4)/(-24) - (-4)/12. Suppose -1/4*a**4 + 0 - d*a**3 - 1/4*a**2 + 0*a = 0. Calculate a.
-1, 0
Suppose 5*f = 4*s + 40, -4*f + 2*f - 12 = 4*s. Let w(a) be the second derivative of 0 - 3*a + 1/60*a**f - 1/10*a**2 + 0*a**3. Factor w(c).
(c - 1)*(c + 1)/5
Let r = 10 + -8. Let m(h) be the first derivative of 1 + 2/25*h**5 + 1/5*h**4 - 1/5*h**r + 2/5*h - 4/15*h**3 - 1/15*h**6. Find z, given that m(z) = 0.
-1, 1
Let c(v) be the first derivative of v**7/252 + v**6/180 - v**5/120 - v**4/72 + 2*v + 2. Let i(l) be the first derivative of c(l). Suppose i(a) = 0. What is a?
-1, 0, 1
Suppose 16 + 2 = 3*o. Let d be 9/o*(5 + -4). Suppose -d*i + 3/2*i**3 + 3/2*i**4 - 3/2*i**2 + 0 = 0. Calculate i.
-1, 0, 1
Let t(p) be the first derivative of 0*p + 3 + 1/8*p**2 - 1/12*p**3. Factor t(c).
-c*(c - 1)/4
Let z be (4 - (4 - 0))/3. Let l(y) be the second derivative of z + 0*y**2 + 1/6*y**3 - 3*y + 1/6*y**4 + 1/20*y**5. Factor l(d).
d*(d + 1)**2
Let k(g) be the third derivative of g**5/330 + g**4/44 + 2*g**3/33 + 4*g**2. Factor k(c).
2*(c + 1)*(c + 2)/11
Suppose -16*k + 19*k = 6. Let j(g) be the first derivative of 1/8*g**4 + 4 + 0*g + 1/5*g**5 + 0*g**3 + 0*g**k + 1/12*g**6. Determine x so that j(x) = 0.
-1, 0
Let w(n) be the second derivative of n**6/36 + 17*n**5/120 + n**4/12 - 5*n**3/9 - 2*n**2/3 + 50*n. Suppose w(o) = 0. What is o?
-2, -2/5, 1
Let g(a) be the first derivative of -2*a**5/75 + a**4/6 - 16*a**3/45 + 4*a**2/15 + 3. Suppose g(s) = 0. Calculate s.
0, 1, 2
Let x(w) be the third derivative of -w**7/2520 - w**6/720 - w**4/12 - 3*w**2. Let l(m) be the second derivative of x(m). Factor l(b).
-b*(b + 1)
Let c be (-385)/(-22) - (-1)/(-2). What is q in q**3 + 18*q + 3*q**4 + 0*q**5 - 3*q**2 - c*q + 4*q**5 - 6*q**3 = 0?
-1, 0, 1/4, 1
Let n(c) be the third derivative of c**8/3840 + c**7/630 + c**6/720 - c**4/8 - c**2. Let p(l) be the second derivative of n(l). Find a such that p(a) = 0.
-2, -2/7, 0
Let p be 273/(-1350) - (-6)/27. Let m(l) be the second derivative of 1/30*l**4 + 0 + l + 1/15*l**3 + 0*l**2 - p*l**5 - 1/75*l**6. Solve m(q) = 0.
-1, 0, 1
Let z be (-6)/24 + 1/4. Suppose z = -x + 1 + 3. Let -19*q**5 + 23*q**5 - 11*q**x - 4*q - 8*q**4 + 27*q**3 - 8*q**2 = 0. Calculate q.
-1/4, 0, 1, 2
Let d = -143 - -146. Factor 23/4*k**d - 27/4*k**2 - 7/4*k**4 - 1/2 + 13/4*k.
-(k - 1)**3*(7*k - 2)/4
Let k = -52 + 30. Let s = -19 - k. Factor 0*b + 0 - 4/7*b**s - 2/7*b**2 - 2/7*b**4.
-2*b**2*(b + 1)**2/7
Let z be 2*(4 + -5)*-2. Solve b**3 + 2*b**3 - b**2 + 14*b**z - 10*b**4 = 0 for b.
-1, 0, 1/4
Let r(p) = 40*p**3 + 4*p**2 + 4*p. Let s(b) = 79*b**3 + 9*b**2 + 7*b. Let n(j) = -7*r(j) + 4*s(j). Let n(h) = 0. Calculate h.
-2/9, 0
Suppose 1/3 - 1/6*f**2 + 1/2*f**3 - 1/2*f - 1/6*f**4 = 0. Calculate f.
-1, 1, 2
Let v(f) = -4*f**2 + 2. Let m(q) = 0 - 1 - 3 + 9*q**2. Let i(j) = 2*m(j) + 5*v(j). Factor i(o).
-2*(o - 1)*(o + 1)
Let b be 178/216 + 9/(-12). Let m(a) be the third derivative of -1/36*a**4 + b*a**3 + 0*a - a**2 + 1/270*a**5 + 0. Determine w, given that m(w) = 0.
1, 2
Let r(i) be the first derivative of -i**4/42 + 4*i**3/21 - 4*i**2/7 + i + 4. Let t(z) be the first derivative of r(z). What is y in t(y) = 0?
2
Let a = 388 + -763/2. Find w, given that 0 - a*w**3 + 1/2*w - 6*w**5 + 25/2*w**4 - 1/2*w**2 = 0.
-1/4, 0, 1/3, 1
Suppose 2*w + 5*t + 1 = 0, 2*w = 4*t + 1 - 11. Let y be w + ((-17)/(-3) - 2). Determine k, given that 2/3*k**2 + y*k - 2/3 - 2/3*k**3 = 0.
-1, 1
Let l(b) be the first derivative of -2/5*b**3 - 4*b + 1/30*b**4 + 1 + 9/5*b**2. Let n(j) be the first derivative of l(j). Let n(u) = 0. Calculate u.
3
Let v = -10 - -30. Suppose 3*h = -3*i + 8*h - 4, -v = -5*i - 5*h. Suppose -3*l - l**2 + 2*l + 2 - 4*l - i*l**2 = 0. What is l?
-2, 1/3
Let c(f) be the third derivative of -f**5/150 - f**4/60 + 34*f**2 - 2. Factor c(u).
-2*u*(u + 1)/5
Let y be (-5)/25 + 18184/70. Let w = y - 259. Solve w*d**2 + 2/7*d + 0 + 2/7*d**3 = 0.
-1, 0
Let a be (-1)/840*4/(-2). Let p(d) be the third derivative of 0*d**5 + 0*d + a*d**6 + 0*d**4 + 0*d**3 - d**2 - 1/735*d**7 + 0. Determine t, given that p(t) = 0.
0, 1
Suppose -4/3 - 2/3*w**3 + 2*w + 0*w**2 = 0. Calculate w.
-2, 1
Let d(u) be the third derivative of -u**5/20 - u**4/8 + u**2. Factor d(t).
-3*t*(t + 1)
Let y be (-6)/54*3/(-2). Let x(i) be the first derivative of y*i**3 + 0*i**4 - 1/24*i**6 + 1/8*i**2 + 0*i - 1/10*i**5 - 2. What is o in x(o) = 0?
-1, 0, 1
Let c(r) be the first derivative of -3*r**4/4 - 17*r**3 - 120*r**2 - 192*r + 11. Factor c(b).
-3*(b + 1)*(b + 8)**2
Let t = -1/114 + 77/114. Suppose -4/3*z**3 - t*z**5 - 2/3 + 2*z - 4/3*z**2 + 2*z**4 = 0. What is z?
-1, 1
Let t be -1 - -1 - ((-27)/(-6) + -5). Suppose 1/6*a**2 - 1/6 - t*a + 1/2*a**3 = 0. Calculate a.
-1, -1/3, 1
Let g(w) = 2*w**4 - 64*w**3 - 386*w**2 + 960*w - 512. Let u(v) = v**4 - v**3. Let m(x) = g(x) - 4*u(x). Factor m(o).
-2*(o - 1)**2*(o + 16)**2
Let y(s) be the third derivative of 0*s + 1/45*s**5 - 1/105*s**7 + 1/9*s**3 + 1/504*s**8 - s**2 - 1/12*s**4 + 0 + 1/90*s**6. Factor y(x).
2*(x - 1)**4*(x + 1)/3
Let n(p) be the second derivative of -p**7/840 + p**6/480 + p**5/240 - p**4/96 + p**2 + 2*p. Let z(s) be the first derivative of n(s). Factor z(i).
-i*(i - 1)**2*(i + 1)/4
Suppose 3*b + a - 17 = -4*a, 20 = 4*b + 4*a. Let h(k) be the first derivative of -1 + k + 1/5*k**5 - 2/3*k**3 + 0*k**2 + 0*k**b. Factor h(x).
(x - 1)**2*(x + 1)**2
Let h = -50 + 94. Let x be (55/h)/((-2)/(-8)). What is i in 1/3*i**x + 0*i + 0 - 2/3*i**2 + 0*i**4 - i**3 = 0?
-1, 0, 2
Let m = 20 + -18. Let k(j) be the second derivative of j + 1/9*j**3 + 0 + 0*j**m - 1/30*j**5 - 1/45*j**6 + 1/18*j**4. Factor k(q).
-2*q*(q - 1)*(q + 1)**2/3
Let y(l) be the second derivative of l**6/35 - 11*l**5/70 + 5*l**4/14 - 3*l**3/7 + 2*l**2/7 - 6*l. Factor y(n).
2*(n - 1)**3*(3*n - 2)/7
Factor -3 + 17 - 15*v**2 - 9 + 4*v - 14*v.
-5*(v + 1)*(3*v - 1)
Suppose 7 + 13*x**2 - 9*x**2 + 12 + 17 - 24*x = 0. What is x?
3
Suppose 4*q + 4 = -3*v, 4*v - 4 = q - 3. Let l = -7/4 + 2. Find x, given that 1/4*x + l*x**2 + v = 0.
-1, 0
Let u(r) = 4*r**2 + 2*r - 8. Let s(i) = 5*i**2 + 3*i - 9. Let h(o) = 6*s(o) - 7*u(o). Factor h(v).
2*(v + 1)**2
Factor 12/11*w + 24/11*w**3 + 2/11 + 8/11*w**4 + 26/11*w**2.
2*(w + 1)**2*(2*w + 1)**2/11
Let g(v) be the second derivative of -v**5/5 - v**4/3 + 2*v**3/3 + 2*v**2 + 8*v. Solve g(z) = 0.
-1, 1
Suppose -23 - 2*n**2 - 23 + 36 - 12*n = 0. What is n?
-5, -1
Factor -16*d**2 - 4*d**5 + 8*d**5 - 958*d**3 + 946*d**3 + 8*d**4 + 16*d.
4*d*(d - 1)**2*(d + 2)**2
Let w(j) be the third derivative of -j**7/105 + j**5/15 - j**3/3 - 15*j**2. Suppose w(r) = 0. What is r?
-1, 1
Let y = 9 + -4. Factor 4*d**5 + 2*d - 3*d + 2 + 8*d**4 - 9*d**2 - d**2 + d**y - 4*d**3.
(d - 1)*(d + 1)**3*(5*d - 2)
Let d(b) be the second derivative of b**6/1620 - b**5/90 + b**4/12 - b**3/2 + 6*b. Let v(o) be the second derivative of d(o). Factor v(j).
2*(j - 3)**2/9
Let t be (-1 + -1 - -2)*(-2)/6. Let o(y) be the first derivative of 0*y**2 + 1 + t*y + 1/2*y**4 - 1/6*y**3. Factor o(f).
f**2*(4*f - 1)/2
Let a be ((-12)/30)/(3 + (-255)/84). Factor -16/15 - 686/15*r**3 - a*r - 196/5*r**2.
-2*(7*r + 2)**3/15
Suppose 3*g - 7 = 2. Let s(z) be the first derivative of 4/21*z**g - 2 - 1/7