i - 2)*(i + 1)*(3*i + 2)
Let f be (-2)/16*6*-4. Find p, given that 3 - 5*p - 3*p**f + 2*p + 6*p**2 - 3 = 0.
0, 1
Let y = 1/1010 - 11363/505. Let b = y + 23. Find u such that 3/2*u + b*u**3 + 1/2 + 3/2*u**2 = 0.
-1
Suppose 0 = 3*j + 5*o, 4*j + 0*o = 2*o. Let d(m) be the second derivative of j + 1/4*m**4 + m - 3/20*m**5 + 0*m**2 + 0*m**3. Suppose d(l) = 0. Calculate l.
0, 1
Let z(v) = v**2 + 12*v - 9. Let q be z(-13). Let i(a) be the second derivative of 1/27*a**3 + 0 + 1/54*a**q - 3*a + 0*a**2. What is g in i(g) = 0?
-1, 0
Let y(q) be the second derivative of q**4/36 - q**3/18 + 4*q. Factor y(a).
a*(a - 1)/3
Find v such that 28/5*v**5 - 6*v**3 + 0 + 2/5*v - 1/5*v**2 + 1/5*v**4 = 0.
-1, -2/7, 0, 1/4, 1
Let d(b) = b - 19. Let y be d(21). Let p(h) be the first derivative of -1/3*h**3 + 1 + 0*h**y + h. Factor p(f).
-(f - 1)*(f + 1)
Suppose a + 1 - 2 = -v, 2*v = 4*a + 20. Find l, given that 3/5*l**2 + 0 + 6/5*l**3 + 0*l + 3/5*l**v = 0.
-1, 0
Let r(z) be the third derivative of z**8/2520 + 4*z**7/1575 + z**6/300 - 2*z**5/225 - z**4/45 - 28*z**2. Solve r(q) = 0.
-2, -1, 0, 1
Let f(j) = 2*j**2 - 3*j + 3. Let u be f(2). Suppose 4*n - b = 1, -2*n = 2*n + 5*b + u. Let -2/7*k**4 + 4/7*k**3 - 2/7*k**2 + n*k + 0 = 0. What is k?
0, 1
Let j(i) be the first derivative of -i**6/60 - i**5/15 - i**4/12 + i**2/2 - 3. Let o(b) be the second derivative of j(b). Find c, given that o(c) = 0.
-1, 0
Let w(q) be the first derivative of 2*q**3/3 - q**2 - 4*q - 5. Find j such that w(j) = 0.
-1, 2
Let d = 2/23875 - -467932/214875. Let v = 34/9 - d. Factor 0*c - v + 18/5*c**2.
2*(3*c - 2)*(3*c + 2)/5
Let r be 3/1*6/27. Let 0*y + y**4 - r*y**5 + 0 + 0*y**3 - 1/3*y**2 = 0. Calculate y.
-1/2, 0, 1
Suppose 0 = -3*t + 6*t. Determine a so that 2/3*a**2 + t - 4/3*a - 2/3*a**5 + 2*a**3 - 2/3*a**4 = 0.
-2, -1, 0, 1
Let x(g) = 1 + 6*g**2 + 1 - 3*g**2 + g**3 - g. Let z be x(-3). Factor -2*w**3 - 2*w**2 + 2*w**4 + z*w**5 - 3*w**5 + 0*w**2.
2*w**2*(w - 1)*(w + 1)**2
Let z(v) be the second derivative of -1/21*v**3 - 1/70*v**5 + 0*v**2 + 1/21*v**4 + 0 - 2*v. Solve z(j) = 0 for j.
0, 1
Let w(m) be the second derivative of -7*m**5/20 - m**4 - m**3/2 + m**2 + m. Let w(v) = 0. Calculate v.
-1, 2/7
Let h be 2 + (-3)/(-4 - -1). Suppose -h = -v + 1. Solve 2/11*b**2 - 2/11*b**v + 0 + 0*b + 2/11*b**5 - 2/11*b**3 = 0.
-1, 0, 1
Let y(r) be the third derivative of -r**5/15 + r**4/6 - 6*r**2. Solve y(v) = 0 for v.
0, 1
Let v(q) be the first derivative of -16*q**3/15 + 2*q**2 - 4*q/5 - 8. Let v(b) = 0. Calculate b.
1/4, 1
Let a(h) = -h**2 - 7*h + 2. Let f(x) = x. Let t = 4 - 3. Let c(q) = t*a(q) + 6*f(q). Factor c(i).
-(i - 1)*(i + 2)
Let a(o) = 3*o**2 + 19*o + 13. Let t be a(-6). Factor -2/3 - t*i**2 + 13/3*i.
-(3*i - 1)*(7*i - 2)/3
Let r(j) be the second derivative of -8*j**6/5 + 22*j**5/5 - 169*j**4/36 + 22*j**3/9 - 2*j**2/3 + 6*j. Factor r(w).
-(3*w - 2)**2*(4*w - 1)**2/3
Suppose 2*g = 2 + 6. What is s in 6*s**3 + s**3 - g*s**2 - 5*s**3 - 2*s**2 = 0?
0, 3
Determine u, given that 10*u + 9*u**3 - 15*u**2 + 3*u**3 - 22*u**3 + 15*u**3 = 0.
0, 1, 2
Suppose 15 = 5*g + 3*v, 4*g + 5*v + 12 = 8*g. Let b(w) be the first derivative of 1/18*w**4 - 2/27*w**3 - 2/9*w**2 + g + 0*w. Factor b(l).
2*l*(l - 2)*(l + 1)/9
Let l(f) = -6*f**2 + 4*f + 2. Let z(p) = 2*p**2 - p - 1. Let s(i) = 3*l(i) + 10*z(i). Solve s(h) = 0.
-2, 1
Let h(l) be the third derivative of -l**8/224 + l**7/140 + l**6/80 - l**5/40 + 4*l**2. Factor h(a).
-3*a**2*(a - 1)**2*(a + 1)/2
Let h(i) = -i + 2. Let g be h(0). Suppose 5*p = -g*b + 2, 5*p - b - 18 = b. Factor -2 + 2*r + 3*r - 5*r**2 + p*r.
-(r - 1)*(5*r - 2)
Suppose -2*p - 3*p = -4*n - 16, -2*p - 12 = 3*n. What is q in -4/7*q - 2/7*q**2 + p = 0?
-2, 0
Suppose -44*m**3 - 6*m**3 + 55*m + 17*m - 60*m**2 - 16 = 0. Calculate m.
-2, 2/5
Determine i, given that -1/4*i**2 + 1/2*i + 0 = 0.
0, 2
Solve 0 - a + 6*a**3 + 7/2*a**4 + 3/2*a**2 = 0 for a.
-1, 0, 2/7
Let v be 1/(-3) - 117/(-27). Suppose -j + 2*j = v. Find u such that 0*u**2 + 265*u**5 - 6*u**2 - 85*u**5 - 9*u**3 + 87*u**j = 0.
-2/5, -1/3, 0, 1/4
Let b(p) be the third derivative of -p**7/1260 - p**6/720 + p**5/180 + 8*p**2. Factor b(u).
-u**2*(u - 1)*(u + 2)/6
Let n = -124 - -499/4. Factor 0 + 3/4*s**3 - 1/2*s**4 - n*s + 1/2*s**2.
-s*(s - 1)*(s + 1)*(2*s - 3)/4
Let j = 53 + -49. Let 0 + 0*k**2 - 2/5*k**5 + 0*k + 2/5*k**j + 0*k**3 = 0. Calculate k.
0, 1
Let u(o) = -o**3 + 5*o**2 + 3*o - 7. Let d be u(5). Let z = d - 5. Factor 8/3 - 32/3*g + 34/3*g**2 - 10/3*g**z.
-2*(g - 2)*(g - 1)*(5*g - 2)/3
Let f(a) be the third derivative of -1/18*a**4 + 0*a - 1/90*a**5 + 3*a**2 + 0 + 0*a**3. Let f(p) = 0. Calculate p.
-2, 0
Let o(r) = -r**3 + 3*r**2 + 6*r - 2. Let l be o(4). Let i = l + -4. Solve -s + s**2 + 2*s**i + s**2 - 7*s**2 = 0.
-1/3, 0
Let u be (91/(-40))/(-1) + (-4)/(-32). Factor 2/5*z**4 - 8/5*z + u*z**2 + 2/5 - 8/5*z**3.
2*(z - 1)**4/5
Let c(a) be the second derivative of -1/9*a**3 - 1/3*a**2 - 3*a - 1/72*a**4 + 0. Factor c(l).
-(l + 2)**2/6
Let v = 4 - 1. Suppose -v*k + 4 = -k. Determine w, given that 2*w**2 + 1 + 3 + 0*w**3 - 6 + k*w**3 - 2*w = 0.
-1, 1
Let 4/3*v + 2/3*v**2 + 0 = 0. Calculate v.
-2, 0
Suppose 3*x - 2*x = 1. Suppose v + 2*s - s - x = 0, 5*s = -3*v + 5. Suppose v + 0*r**2 + 2/3*r**3 + 2/3*r**4 + 0*r = 0. What is r?
-1, 0
Factor 3/2*n**4 + 3/4*n**3 + 0 + 3/4*n**5 + 0*n + 0*n**2.
3*n**3*(n + 1)**2/4
Let r(i) be the third derivative of -i**7/42 - i**6/40 + 7*i**5/60 + i**4/8 - i**3/3 + 5*i**2. Solve r(s) = 0.
-1, 2/5, 1
Suppose 2*i + f - 3 + 0 = 0, -4*f = -12. Factor 0*w - 2/5*w**4 - 4/5*w**3 + i - 2/5*w**2.
-2*w**2*(w + 1)**2/5
Let g = -424/3 - -143. Let n(d) be the first derivative of 2/3*d**3 - 2 - g*d**2 - 4/3*d. Factor n(k).
2*(k - 2)*(3*k + 1)/3
Let z(t) = t**2 - 4*t - 9. Let q be z(4). Let o(v) = -13*v**3 - 13*v**2 + 17*v. Let a(b) = -3*b**3 - 3*b**2 + 4*b. Let m(d) = q*a(d) + 2*o(d). Factor m(x).
x*(x - 1)*(x + 2)
Let n be (1/(-2))/((-3)/48). Factor 15*l - n*l - 2*l**2 - 7*l.
-2*l**2
Let x(s) be the second derivative of s**6/30 - s**5/5 + 5*s**4/12 - s**3/3 + 5*s - 6. Factor x(f).
f*(f - 2)*(f - 1)**2
Let h(s) be the second derivative of -s**4/4 - s**3/2 - 9*s. Suppose h(y) = 0. Calculate y.
-1, 0
Let u(k) be the third derivative of -k**7/630 + k**6/360 + k**5/36 + k**4/24 - 14*k**2. Find t, given that u(t) = 0.
-1, 0, 3
Suppose -r = -v + 2, -5*v = -4*r - 9 - 4. Solve 0*l - 15/2*l**4 + 1/2 - 2*l**v - 5*l**2 - 10*l**3 = 0.
-1, 1/4
Let a(z) be the first derivative of -z**6/6 + 9*z**5/10 - 2*z**4 + 7*z**3/3 - 3*z**2/2 + z/2 - 2. Factor a(q).
-(q - 1)**4*(2*q - 1)/2
Let p be 6/(-2) + 3 - -4. Factor 3*j**3 + j**2 - 2*j**2 + 13*j**4 - 16*j**p + j**5.
j**2*(j - 1)**3
Let n(i) be the first derivative of 0*i + 1 + 0*i**3 - i**2 + 1/210*i**5 + 1/84*i**4. Let b(g) be the second derivative of n(g). Factor b(x).
2*x*(x + 1)/7
Suppose 24*d - 12 - 4*d**3 + 39*d**2 - 9*d**4 - 3*d**3 - 2*d**3 + 3*d**3 = 0. Calculate d.
-2, -1, 1/3, 2
Let q be -4 + (-1 - -11) + 0/(-1). Let z(t) be the first derivative of 0*t**3 + 0*t + 3 - 4/15*t**5 + 0*t**2 + 1/18*t**q + 1/3*t**4. Factor z(u).
u**3*(u - 2)**2/3
Let p(g) be the second derivative of 1/6*g**4 - 2*g**2 + 0 - 3/10*g**5 + 2*g + 1/15*g**6 + g**3. Factor p(l).
2*(l - 2)*(l - 1)**2*(l + 1)
Determine w so that 0*w**2 - 3*w**4 - 2*w - 176*w**3 + w**5 + 3*w**2 + 177*w**3 = 0.
-1, 0, 1, 2
Let v(k) = k**3 - 7*k**2 - 8*k + 1. Let b be v(8). Let s(a) = 5*a**2 - a + 1. Let n be s(b). Determine l so that n*l + 2*l**2 - 5*l = 0.
0
Let 0 + 3/2*x**2 + 0*x + 1/2*x**3 = 0. Calculate x.
-3, 0
Let h be (-4 + 217/63)*-6. Determine z, given that h*z**4 + 14/3*z**2 - 2/3*z**5 - 4/3*z + 0 - 6*z**3 = 0.
0, 1, 2
Let 9/2*r - 3/4*r**2 - 15/4 = 0. What is r?
1, 5
Find z such that 0 - 32/3*z**2 + 2/3*z**3 + 128/3*z = 0.
0, 8
Let s(y) = y**2 + 3. Let g be 4/14*1*7. Let n(j) be the third derivative of -j**5/10 - 8*j**3/3 - j**2. Let w(u) = g*n(u) + 11*s(u). Find d such that w(d) = 0.
-1, 1
Let i(f) = -10 - 5*f + 10*f + 4*f - f**2. Let a be i(7). Factor 12/5*x**3 + 24/5*x + 8/5 + 2/5*x**a + 26/5*x**2.
2*(x + 1)**2*(x + 2)**2/5
Let s be 37/45*-1 - -2. Let g = s + -7/9. Factor 2/5*u**2 + g*u - 4/5.
2*(u - 1)*(u + 2)/5
Let w = 8 - 6. Suppose -4*n = w*p - 24, -2*p - 6*n = -n - 27. Factor -10*b**4 + 0*b**3 + p*b**4 + 2*b**5 - 2*b 