 + 5/2 = 0. Calculate a.
-5, -1, 1
Suppose 3*v = -12 + 3. Let s = v - -6. Determine l, given that 1/2*l**2 + 0 + 0*l - 3/2*l**s = 0.
0, 1/3
Let -3/2 - 1/6*a**2 - 5/3*a = 0. What is a?
-9, -1
Let q(x) be the first derivative of -3*x**4/8 - 2*x**3 + 15*x**2/4 - 6. Factor q(p).
-3*p*(p - 1)*(p + 5)/2
Let p(i) = -5*i**3 + 2*i + 1. Suppose q + 2 = 1. Let m be p(q). Factor 6*z**m - z**5 - 2*z**2 + 2*z**3 + 7*z**5 + 4*z**4.
2*z**2*(z + 1)**2*(3*z - 1)
What is x in x + 1/3*x**3 - 4/3*x**2 + 0 = 0?
0, 1, 3
Let -3/8*m**2 - 3/2 + 3/2*m = 0. What is m?
2
Let n(l) be the first derivative of l**4/16 + l**3/12 - l**2/2 - l + 36. What is k in n(k) = 0?
-2, -1, 2
Let a(k) be the first derivative of 4*k**3/3 + 12*k**2 + 36*k + 6. Factor a(g).
4*(g + 3)**2
Factor 2/3*u**3 + 0*u - 3*u**4 + 0 + 0*u**2 + 7/3*u**5.
u**3*(u - 1)*(7*u - 2)/3
Let 6/5 + 3/5*y**2 + 9/5*y = 0. What is y?
-2, -1
Factor -2*i + i + i + 2*i**2 + 2*i.
2*i*(i + 1)
Let s = 9 - 6. Let a = 5 - s. Factor 6*z**2 - 3*z**a - 2*z**2.
z**2
Solve 6*m - 2*m**2 - 2*m - 4*m**3 - 8*m**4 + 10*m**4 = 0.
-1, 0, 1, 2
Let m(w) be the first derivative of 10*w**6/3 - 57*w**5/5 + 49*w**4/4 - 5*w**3/3 - 9*w**2/2 + 2*w - 4. Factor m(x).
(x - 1)**3*(4*x - 1)*(5*x + 2)
Let l = -116 + 352/3. Find w such that 25/3*w**5 + 0 - 7*w**3 + 20/3*w**4 - l*w - 20/3*w**2 = 0.
-1, -2/5, 0, 1
Let z(u) be the second derivative of u**9/2268 + u**8/560 + u**7/420 + u**6/1080 + 5*u**3/6 - 2*u. Let c(a) be the second derivative of z(a). Factor c(y).
y**2*(y + 1)**2*(4*y + 1)/3
Let r(c) be the third derivative of -c**7/315 + c**6/45 - c**5/45 - c**4/9 + c**3/3 - 2*c**2. Determine t, given that r(t) = 0.
-1, 1, 3
Let c(j) be the third derivative of 1/60*j**5 + 0*j + 0*j**3 - 1/480*j**6 - 1/24*j**4 - j**2 + 0. Solve c(u) = 0 for u.
0, 2
Let z(o) be the third derivative of o**6/200 + o**5/20 + o**4/10 + 3*o**2 - 3*o. Factor z(j).
3*j*(j + 1)*(j + 4)/5
Let a = -9 + 13. Let l = a - 2. Find b, given that 2*b**3 + 0*b**4 + 4*b**2 - l*b**5 - 2*b**4 - 2*b**2 = 0.
-1, 0, 1
Suppose 0 + 1/8*t**2 + 1/4*t**3 - 1/8*t**4 - 1/4*t = 0. What is t?
-1, 0, 1, 2
Let g = -8 + 19/2. Factor g*b**2 + 3 + 9/2*b.
3*(b + 1)*(b + 2)/2
Let i be (-8)/(-6)*27/18. Suppose 0 = -i*w + w. Factor w - 2/11*h**3 + 4/11*h - 2/11*h**2.
-2*h*(h - 1)*(h + 2)/11
Let l(i) be the second derivative of i**5/60 - i**3/6 - i**2/3 + 5*i. Factor l(o).
(o - 2)*(o + 1)**2/3
Let v(s) be the third derivative of s**6/120 + s**5/5 + s**3/3 - 2*s**2. Let x be v(-12). Let -2/3 - 4/3*m - 2/3*m**x = 0. Calculate m.
-1
Let v(t) be the third derivative of 5*t**8/224 - 3*t**7/35 + t**6/20 - 3*t**2. Let v(k) = 0. What is k?
0, 2/5, 2
Factor 0 + 0*n - 2/3*n**4 + 4/3*n**2 - 2/3*n**3.
-2*n**2*(n - 1)*(n + 2)/3
Let c = 55/4 - 377/28. Let g be (-26)/56 + (126/(-24))/(-7). Find i such that c*i**2 + 0 + g*i = 0.
-1, 0
Let u(z) be the second derivative of z**4/60 + 2*z**3/15 + 2*z**2/5 + 8*z. Let u(s) = 0. What is s?
-2
Let p(f) = -7*f + 3. Let c be p(-3). Let l be (-6)/c - (-1)/4. Factor 0 + l*v + 2/5*v**2.
2*v**2/5
Suppose -3*p + 3*y + 342 = 0, 3*y = -2*p + y + 216. Let h = p + -997/9. Let -2/9*z**2 - 4/9*z - h = 0. What is z?
-1
Let f(l) be the second derivative of -5*l**5/4 - 15*l**4/2 - 10*l**3 + 20*l**2 + 19*l. Find h, given that f(h) = 0.
-2, 2/5
Let o(y) = -9*y**3 - 16*y**2 - 21*y - 5. Let r(l) = -22*l**3 - 40*l**2 - 52*l - 12. Let v be ((-4)/5)/(4/60). Let d(x) = v*o(x) + 5*r(x). Factor d(m).
-2*m*(m + 2)**2
Let h(y) = y**3 + 10*y**2 - 13*y - 17. Let b be h(-11). Let n(t) be the third derivative of 0*t**4 - 1/30*t**b + 1/3*t**3 + 0 + 3*t**2 + 0*t. Factor n(w).
-2*(w - 1)*(w + 1)
Let d(p) be the second derivative of 2*p**7/21 + 29*p**6/30 + 67*p**5/20 + 67*p**4/12 + 29*p**3/6 + 2*p**2 + 20*p. Factor d(i).
(i + 1)**3*(i + 4)*(4*i + 1)
Let x be (4 - 0) + (-440)/30 + 12. Let -x + 8/3*o**2 - 4/3*o**4 - 2/3*o - 2/3*o**5 + 4/3*o**3 = 0. What is o?
-2, -1, 1
Let l(g) = -g**5 + 3*g**4 + g**3 + g**2. Let d(y) = y**5 + y**3. Let k(r) = -2*d(r) - l(r). Solve k(o) = 0.
-1, 0
Let h = -269 - -1349/5. Let r be (2/3)/((-45)/(-81)). Let -h*w - 1/5*w**4 + w**3 + 8/5 - r*w**2 = 0. What is w?
-1, 2
Let h(o) be the second derivative of -2*o**7/21 + 2*o**6/15 + 2*o**5/5 + 13*o. Let h(t) = 0. What is t?
-1, 0, 2
Factor -2 - 1/2*p**2 - 5/2*p.
-(p + 1)*(p + 4)/2
Let v be 4*1 + (-10)/(-10). Factor 1 - 22*b**v - 3 + 23*b**5 - 2*b**3 + b + 4*b**2 + 0*b - 2*b**4.
(b - 2)*(b - 1)**2*(b + 1)**2
Solve 2*p - 1/2*p**2 - 2 = 0 for p.
2
Let -10/21*z**3 + 8/21*z + 4/7*z**2 + 2/21*z**4 - 16/21 = 0. What is z?
-1, 2
Let p be -1*(-4)/(-24)*-2. Let -f**2 + 1/3*f + f**3 + 0 - p*f**4 = 0. What is f?
0, 1
Let t(p) be the third derivative of p**7/350 - p**6/40 + 7*p**5/100 - 3*p**4/40 - 2*p**2. Factor t(a).
3*a*(a - 3)*(a - 1)**2/5
Find j, given that 1/2*j + 0 - 1/2*j**2 = 0.
0, 1
Let w be 8 - ((1 - -3) + -3). Suppose -w*a - 3 = -8*a. Factor 2/7*l - 2/7*l**a + 0 + 0*l**2.
-2*l*(l - 1)*(l + 1)/7
Let o = 6 + -1. Let i(n) be the first derivative of -4/5*n**o + 4/3*n**3 + n**6 - 2*n**4 + 0*n - 2 + n**2. Suppose i(d) = 0. Calculate d.
-1, -1/3, 0, 1
Suppose -3*w = -2 + 11. Let z(j) = -2*j - 4. Let q be z(w). Factor -3*y - 2*y**2 + 4*y**2 - 3 - y**2 + 3*y**3 + q.
(y - 1)*(y + 1)*(3*y + 1)
Let w(k) be the first derivative of 4*k**5/25 + 2*k**4/5 + 4*k**3/15 - 11. Let w(x) = 0. What is x?
-1, 0
Let i(f) be the second derivative of -f**6/105 + 3*f**5/35 - 13*f**4/42 + 4*f**3/7 - 4*f**2/7 - f. Factor i(q).
-2*(q - 2)**2*(q - 1)**2/7
Let i(x) be the third derivative of -x**6/60 + 4*x**5/15 - 58*x**2. Factor i(o).
-2*o**2*(o - 8)
Let s(q) = 3*q**2 + 2*q. Let w(d) = 7*d**2 + 3*d. Let m(g) = 10*s(g) - 4*w(g). Factor m(h).
2*h*(h + 4)
Let y = 35 + -209/6. Let t(g) be the first derivative of -4 - 1/2*g - 1/2*g**2 - y*g**3. Find s such that t(s) = 0.
-1
Let w(i) = 4*i + 8. Let v(m) = 5*m + 9. Let u(h) = -5*v(h) + 6*w(h). Let f be u(3). Determine z so that 0 + f*z - 2/9*z**2 = 0.
0
Let j(y) be the first derivative of -y**4/2 - 2*y**3/3 - y**2 - 1. Let u = 9 - 11. Let n(k) = -k**4 - k**3 + k. Let p(f) = u*n(f) - j(f). Factor p(a).
2*a**2*(a + 1)**2
Let u(r) be the second derivative of -r**4/36 - r**3/6 + 2*r**2/3 + 2*r - 6. Solve u(t) = 0.
-4, 1
Let b(a) be the third derivative of -a**9/15120 + a**8/3360 + a**7/2520 - a**6/360 - a**4/6 - a**2. Let f(q) be the second derivative of b(q). Factor f(g).
-g*(g - 2)*(g - 1)*(g + 1)
Factor 1/10*z**3 - 1/10*z**4 + 1/5 - 1/2*z + 3/10*z**2.
-(z - 1)**3*(z + 2)/10
Find v, given that -2*v**2 + 0 + 2/3*v = 0.
0, 1/3
Solve 190/3*z**3 + 100/3*z**2 + 0 + 0*z + 2*z**5 + 64/3*z**4 = 0.
-5, -2/3, 0
Let n(w) = -21*w**3 - 30*w**2 - 4*w + 5. Let d = 2 + -1. Let j(y) = -y**2 + 1. Let c(b) = d*n(b) - j(b). Solve c(m) = 0.
-1, -2/3, 2/7
Let j be 945/(-42)*(6 + 0). Let p = 679/5 + j. Determine s, given that 0*s + p*s**2 - 18/5*s**3 + 0 = 0.
0, 2/9
Determine t, given that -4*t**2 + 5/2*t**3 - 1/2*t**4 + 0 + 2*t = 0.
0, 1, 2
Find h such that 20*h**4 - 5*h**5 + 10*h**3 - 17*h**2 - 3*h**2 - 10*h**5 + 5*h = 0.
-1, 0, 1/3, 1
Let p be 2/(-4) + 5/2. Let b be 0 - (-2 - (4/12 + -2)). Determine n so that 2/3 - b*n**p - 1/3*n = 0.
-2, 1
Solve 11*j**2 + 2*j**3 + 40 + 14*j - j**2 - 34 = 0 for j.
-3, -1
Let q(p) be the third derivative of -p**7/315 + p**6/90 + 7*p**5/90 + p**4/9 - 29*p**2. Factor q(b).
-2*b*(b - 4)*(b + 1)**2/3
Let a(z) be the third derivative of -1/80*z**5 + 0*z - 3/280*z**7 + 8*z**2 + 3/160*z**6 + 1/448*z**8 + 0*z**3 + 0 + 0*z**4. Suppose a(s) = 0. What is s?
0, 1
Let n(l) = -2*l**3 - 8. Let k(c) be the first derivative of c**3/3 - 3. Let j(x) = x**3 - x**2 + 1. Let h be j(-1). Let q(i) = h*n(i) - 6*k(i). Factor q(d).
2*(d - 2)**2*(d + 1)
Let c(j) be the third derivative of -j**5/20 - 9*j**4/4 - 81*j**3/2 + 2*j**2. Solve c(u) = 0.
-9
Let z = -5 - -3. Let s be (-6)/14*z - 0. Factor -2/7*g**3 + 4/7 + s*g + 0*g**2.
-2*(g - 2)*(g + 1)**2/7
Let -3/8*m**3 - 15/8*m + 3/2*m**2 + 3/4 = 0. Calculate m.
1, 2
Let f(l) be the third derivative of l**7/735 - l**6/420 - l**5/105 - l**2 - 1. Factor f(i).
2*i**2*(i - 2)*(i + 1)/7
Let r(a) be the second derivative of a**7/1260 - a**5/60 - a**4/4 - a. Let h(f) be the third derivative of r(f). Solve h(s) = 0 for s.
-1, 1
Suppose -3*b - 20 = -7*b. Let j(c) be the first derivative of 1/7*c**2 - 1/14*c**4 - 2