r n(p).
-(p + 1)**3*(3*p + 1)/3
Let u(r) = -2*r**2 - r**2 - 10 - r**2 + 14*r. Let n = -6 - -5. Let i(c) = c**2 - 1. Let y(z) = n*u(z) + 6*i(z). Factor y(f).
2*(f - 1)*(5*f - 2)
Suppose 3*l + 83 = 4*m, 3*l - 5*m - 55 + 143 = 0. Let r be (-48)/l - (-8)/(-28). Solve -2*o**3 + 2*o**3 - r*o**3 = 0.
0
Let r be 116/430 + (-11)/55. Let t = r + 71/215. Factor -t*z - 2/5*z**2 + 0.
-2*z*(z + 1)/5
Let c be 8/3*(-1)/(-2). Let o = -5 + 7. Factor -2*w**o - c*w - 2/9.
-2*(3*w + 1)**2/9
Let i(o) = -2*o**2 - 3*o - 1. Let r(b) = -4*b**2 - 6*b - 2. Let f(y) = -5*i(y) + 3*r(y). Factor f(l).
-(l + 1)*(2*l + 1)
Let d be (-320)/(-150) + 4/(-30). Determine z, given that 4/3*z - 2/3*z**d + 0 = 0.
0, 2
Let g(q) be the first derivative of -1/32*q**4 - 1 - 1/2*q**2 - 1/240*q**5 + 0*q - 1/12*q**3. Let w(p) be the second derivative of g(p). Factor w(a).
-(a + 1)*(a + 2)/4
Let o(j) be the second derivative of -3*j**5/20 + 2*j**3 + 6*j. Factor o(c).
-3*c*(c - 2)*(c + 2)
Suppose 8*b = 3*b. Solve k**5 - 6*k**4 + b*k**4 + k**3 + 4*k**4 = 0 for k.
0, 1
Let c(i) be the first derivative of i**7/210 - i**5/10 - i**4/3 - i**3 + 1. Let z(m) be the third derivative of c(m). What is f in z(f) = 0?
-1, 2
Let p(a) = -a**2 - 4*a - 4. Let c(u) = -u**2 + 2*u - 2. Let t be c(2). Let i be p(t). Determine g so that -2*g**2 - 15/2*g**3 + 2*g + i - g**4 + 5/2*g**5 = 0.
-1, 0, 2/5, 2
Let g(r) be the second derivative of -r**4/18 + r**2/3 - 2*r. Factor g(l).
-2*(l - 1)*(l + 1)/3
Let c(v) be the third derivative of -1/4*v**4 + 0*v**3 - 3*v**2 + 23/70*v**7 - 1/16*v**8 + 13/20*v**5 + 0 - 27/40*v**6 + 0*v. Factor c(g).
-3*g*(g - 1)**3*(7*g - 2)
Let l = 4 - 4. Suppose -5*p = 5*d - d, l = d. Find u, given that 3/4*u**5 + p + 1/4*u**2 + 0*u - 3/4*u**3 - 1/4*u**4 = 0.
-1, 0, 1/3, 1
Let j(r) be the second derivative of r**4/54 + r**3/9 + 2*r**2/9 - 2*r. Factor j(w).
2*(w + 1)*(w + 2)/9
Let o(u) be the second derivative of -u**7/147 - u**6/15 - 19*u**5/70 - 25*u**4/42 - 16*u**3/21 - 4*u**2/7 + 25*u. Find v, given that o(v) = 0.
-2, -1
Let v = -1/42 + 89/210. Let -1/5 + v*o**2 + 0*o**3 - 1/5*o**4 + 0*o = 0. Calculate o.
-1, 1
Let z(w) be the first derivative of -3*w**5/5 - 6*w**4 - 45. Find m, given that z(m) = 0.
-8, 0
Let p(i) be the second derivative of i**7/273 - 3*i**5/130 - i**4/39 - 7*i + 2. Suppose p(x) = 0. What is x?
-1, 0, 2
Let r(y) be the third derivative of -1/150*y**5 - 1/30*y**4 + 0 - 1/15*y**3 + 2*y**2 + 0*y. Find w such that r(w) = 0.
-1
Let l(b) be the third derivative of b**8/3360 + b**7/1260 - 5*b**4/24 - 2*b**2. Let t(p) be the second derivative of l(p). Factor t(v).
2*v**2*(v + 1)
Let m(y) be the third derivative of y**10/15120 - y**8/3360 - y**4/12 - y**2. Let b(r) be the second derivative of m(r). What is j in b(j) = 0?
-1, 0, 1
Let v(d) be the first derivative of 0*d**2 + 1 + 1/4*d**4 + 0*d + 2/9*d**3 + 1/15*d**5. Factor v(a).
a**2*(a + 1)*(a + 2)/3
Let u(t) be the third derivative of t**8/448 + t**7/840 - t**6/160 - t**5/240 - 10*t**2. Find d, given that u(d) = 0.
-1, -1/3, 0, 1
Let t(m) be the third derivative of -m**7/13860 + m**6/1980 - m**4/8 + 3*m**2. Let i(l) be the second derivative of t(l). Determine c, given that i(c) = 0.
0, 2
Let j = -34 - -38. Suppose 16/3*z**2 + 4/3*z + 5/3*z**3 - 25/3*z**j + 0 = 0. What is z?
-2/5, 0, 1
Let d(v) be the second derivative of 0 + 4*v + 0*v**2 + 1/4*v**3 - 1/8*v**4. Let d(w) = 0. What is w?
0, 1
Let c(r) = -2*r**3 - r**2 + 4*r + 3. Let f be c(-2). Suppose -3*i = -f - 2. Factor -4*n**2 + n**i - n**2 + 2*n + 2*n**2.
n*(n - 2)*(n - 1)
Let w(x) = 14*x**2 - 10*x - 6. Let d(z) = -14*z**2 + 9*z + 5. Let s(k) = -6*d(k) - 5*w(k). Suppose s(h) = 0. Calculate h.
0, 2/7
Let j(s) be the first derivative of s**3 - 3*s**2/2 - 4. Solve j(t) = 0 for t.
0, 1
Let r(c) be the third derivative of 0*c**3 + 0*c**6 + 1/1155*c**7 - 3*c**2 + 0*c**4 + 0*c**5 - 1/616*c**8 + 0*c + 0. Factor r(i).
-2*i**4*(3*i - 1)/11
Let z(h) be the first derivative of -4*h**6/15 - 9*h**5/10 - h**4 - h**3/3 - 8*h - 2. Let p(y) be the first derivative of z(y). Determine g so that p(g) = 0.
-1, -1/4, 0
Solve -2*w - 2*w + 12*w + 2*w**2 + 8 = 0.
-2
Let a(d) = 10*d - 290. Let j be a(29). Factor -2/3*z**4 + 2/3*z**2 - 2/3*z**3 + 0*z + j + 2/3*z**5.
2*z**2*(z - 1)**2*(z + 1)/3
Let h(d) = d**3 - d**2 - 1. Let n(y) = -y**3 + 7*y**2 - 6*y - 2. Let s(t) = 2*h(t) - n(t). Find p, given that s(p) = 0.
0, 1, 2
Let t(y) = y + 9. Let u be t(-7). Factor -2*r**u + 2*r**3 + 7*r - r**3 + 2*r**3 - 6*r**2 - 2.
(r - 1)**2*(3*r - 2)
Let n(s) be the third derivative of -s**7/70 + s**6/10 - s**5/4 + s**4/4 - 11*s**2. Find l such that n(l) = 0.
0, 1, 2
Suppose 79*r - 86*r = 0. Find y such that 0 - 6/7*y**2 + r*y + 2/7*y**3 = 0.
0, 3
Let q be 0/(4*1/4). Let o(y) be the third derivative of -3*y**2 + q - 1/24*y**4 - 1/240*y**5 - 1/6*y**3 + 0*y. Let o(n) = 0. What is n?
-2
Let w = 220/3 + -73. Factor w*u**2 + 0 + 2/3*u.
u*(u + 2)/3
Let u(q) be the first derivative of -2*q**4/3 - 10*q**3/3 - 17*q**2/3 - 4*q - 1. Factor u(g).
-2*(g + 1)*(g + 2)*(4*g + 3)/3
Let v(b) be the second derivative of 10/3*b**3 - 4/3*b**4 + 0 + 8/15*b**6 + 8/21*b**7 - 11/5*b**5 - b + 4*b**2. Determine c so that v(c) = 0.
-2, -1/2, 1
Let m(w) = 0*w - w**3 + 5 + 3*w**2 - 4*w**2 - w + 0*w**2. Let h be m(0). Factor -2/3*l**2 - 2/3*l**h + 0 - 2*l**4 + 0*l - 2*l**3.
-2*l**2*(l + 1)**3/3
Let q(x) = x**3 + 4*x**2 - 4*x + 3. Let g be q(-4). Suppose 0 = -4*s - g + 35. Determine l so that -2/3*l**5 - 2/3*l - 8/3*l**4 - s*l**3 - 8/3*l**2 + 0 = 0.
-1, 0
Let m = -815/6 - -136. Find t such that 1/6*t**2 + m*t + 0 = 0.
-1, 0
Let n(m) be the third derivative of -5*m**8/336 - 4*m**7/105 + m**6/30 + m**5/6 + m**4/24 - m**3/3 - m**2. Factor n(c).
-(c - 1)*(c + 1)**3*(5*c - 2)
Let z(x) = 4*x**2 - x + 1. Let a(q) = q**2 + 4*q + 1. Let m be a(-4). Let j be z(m). Determine g so that 30*g**j - 8*g + g**2 + 6*g**3 - 68*g**3 + 39*g**2 = 0.
0, 2/5, 2/3, 1
Suppose q - 3 = -r + 2*r, -2*q + 3*r = -4. Suppose 5*m + 0 = q. Factor -2*x**4 - m + 4 - 1 - 4*x + 4*x**3.
-2*(x - 1)**3*(x + 1)
Let t be 2/(-4) + 35/10. Let 2/7*d**4 - 2/7*d**5 + 0*d + 0 - 2/7*d**2 + 2/7*d**t = 0. Calculate d.
-1, 0, 1
Let y(n) = -n - 1. Let p be y(-3). Solve -2*k**3 - k**2 + 5*k**p - 1 - 2 - 1 + 2*k = 0 for k.
-1, 1, 2
Let w(m) be the second derivative of -m**5/170 - m**4/102 + 2*m**3/51 + 7*m. Determine p so that w(p) = 0.
-2, 0, 1
Let a(m) = 7*m**4 + 15*m**3 + 19*m**2 + 11*m + 13. Let t(c) = -3*c**4 - 7*c**3 - 9*c**2 - 5*c - 6. Let w(p) = -6*a(p) - 13*t(p). Find h such that w(h) = 0.
-1, 0, 1/3, 1
Let b = -308/15 - -4304/195. Let y = b + -8/39. Factor 2/3*j**2 + 0 + y*j.
2*j*(j + 2)/3
Let z(i) be the third derivative of 0*i + 0*i**4 - 6*i**2 - 1/140*i**7 + 0 + 0*i**3 - 1/120*i**5 + 1/672*i**8 + 1/80*i**6. Factor z(q).
q**2*(q - 1)**3/2
Let 2/9*i**5 + 0 - 10/9*i**4 + 4/9*i - 14/9*i**2 + 2*i**3 = 0. What is i?
0, 1, 2
Factor -2 + 10*h**2 - 3*h - 2 - 3*h.
2*(h - 1)*(5*h + 2)
Suppose -5*a - 345 = -k, -4*a + 2*k - 345 = a. Let g = a - -209/3. Factor g*p**2 + 2/3*p + 0.
2*p*(p + 1)/3
Let g(q) be the first derivative of 2 + q + 0*q**3 - 1/18*q**4 + 1/3*q**2. Let z(s) be the first derivative of g(s). Suppose z(y) = 0. Calculate y.
-1, 1
Suppose k + 5 = 2*i, -6*k = -4*i - 3*k + 13. Factor 2*f - 2*f**3 - i + 1 + 0*f.
-2*f*(f - 1)*(f + 1)
Let t = 32 - 30. Factor 3/5*w + 0 - 3/5*w**t.
-3*w*(w - 1)/5
Let k be (52/(-182))/((-1)/7). Let l(s) be the first derivative of -2 - 2/3*s**4 + 2*s**3 - k*s**2 + 2/3*s. Factor l(u).
-2*(u - 1)**2*(4*u - 1)/3
Let c(o) be the second derivative of -o**7/21 + o**5/10 + o. Factor c(d).
-2*d**3*(d - 1)*(d + 1)
Let h = 13 + -6. Let q = -13/2 + h. Factor 0 + 1/2*j - q*j**2.
-j*(j - 1)/2
Factor 1/5*q**2 + 0 - 1/5*q**3 - 1/5*q**4 + 1/5*q.
-q*(q - 1)*(q + 1)**2/5
Suppose 7*u - 15 = 2*u. Let 5*t**2 - 2*t**2 - t**2 + 5*t**5 + 12*t**4 + 9*t**u = 0. Calculate t.
-1, -2/5, 0
Let k(a) be the first derivative of a**6/21 + 6*a**5/35 + 3*a**4/14 + 2*a**3/21 + 13. Solve k(z) = 0 for z.
-1, 0
Let d(r) be the third derivative of 3*r**2 + 0*r**3 + 0 + 1/200*r**6 + 0*r + 0*r**4 + 1/100*r**5. Find k, given that d(k) = 0.
-1, 0
Let z(b) be the second derivative of -4/33*b**3 + 0*b**2 - 1/110*b**5 + 0 + 4*b - 2/33*b**4. Factor z(d).
-2*d*(d + 2)**2/11
Let m(d) = 2*d + 4. Let q be m(0). Suppose 24*n