 derivative of v(x). Factor f(p).
2*p*(p - 1)**2*(7*p - 2)/11
Let d(i) be the third derivative of -i**7/2520 - i**6/540 - i**5/360 - 4*i**3/3 - 2*i**2. Let t(b) be the first derivative of d(b). Factor t(v).
-v*(v + 1)**2/3
Let t(r) be the first derivative of -r**6/40 - 11*r**5/120 - r**4/12 + r**3/3 - 2. Let d(q) be the third derivative of t(q). Let d(o) = 0. What is o?
-1, -2/9
Let q(z) = z**2 - 8*z + 1. Let w(r) = 7*r. Suppose 0*m = -2*m + 6. Let d = 5 - m. Let s(x) = d*q(x) + 3*w(x). What is a in s(a) = 0?
-2, -1/2
Let w(l) = -15*l + 9. Let u(n) = 3*n**2 + 18*n - 13. Let y(f) = -5*f**2 - 35*f + 25. Let p(k) = 7*u(k) + 4*y(k). Let x(j) = 3*p(j) - 2*w(j). Factor x(a).
3*(a - 3)*(a - 1)
Factor 125*h**2 + 6*h**3 + 3*h**3 + 210*h + 8*h**3 + 3*h**3 + 45.
5*(h + 3)**2*(4*h + 1)
Let n(o) be the first derivative of -o**6/720 - o**3 - 6. Let a(w) be the third derivative of n(w). Factor a(v).
-v**2/2
Let v(u) = u + 5. Let f be v(-3). Suppose 4*c - 2 = -f*g - 3*g, -4*g + 2 = 3*c. Solve 2*z**2 - 4*z**2 + 0*z**g - 2*z = 0 for z.
-1, 0
Let k be (-238)/60 - (1 + -4 + -1). Let r(a) be the third derivative of 0*a - 1/105*a**7 + k*a**6 + 0 - 1/30*a**5 - 3*a**2 + 0*a**3 + 0*a**4. Solve r(u) = 0.
0, 1
Suppose -a = -3*a. Determine p so that -2/3*p**2 + a + 0*p = 0.
0
Let c(i) be the third derivative of -i**8/784 - i**7/490 + 3*i**6/280 + i**5/140 - i**4/28 + 3*i**2. Solve c(p) = 0 for p.
-2, -1, 0, 1
Let a(i) be the third derivative of i**5/15 + 2*i**4/3 + 2*i**3 - 3*i**2. Find j, given that a(j) = 0.
-3, -1
Let p = -164/7 + 1756/63. Factor 26/9*i + p*i**3 - 4/9 - 56/9*i**2.
2*(2*i - 1)**2*(5*i - 2)/9
Suppose 3*l = o - 2*l + 16, o = l. Find x, given that 7/3*x**5 + 0 - 4*x**o + x**3 + 0*x + 2/3*x**2 = 0.
-2/7, 0, 1
Suppose 2*g + 0*g = -12. Let r = -6 - g. Let a**4 + 0*a - 3/4*a**3 + r - 1/4*a**2 = 0. What is a?
-1/4, 0, 1
Let i(b) = 3*b**2 + 5*b + 4. Let k(y) = 7*y**2 + 11*y + 9. Let c be (-7 + 1)/((-2)/(-3)). Let j(n) = c*i(n) + 4*k(n). Let j(u) = 0. What is u?
0, 1
Factor 2*x + 1/3*x**2 + 3.
(x + 3)**2/3
Let p = -9 + 37. Let g be (-4)/(-14) - (-104)/p. Factor -8/3*x**g + 2/3*x**2 + 0 + 0*x - 2*x**3.
-2*x**2*(x + 1)*(4*x - 1)/3
Let j(b) be the third derivative of 0*b**4 + 0*b + 1/360*b**5 + 0*b**3 + 0 + 2*b**2. Factor j(v).
v**2/6
Let k = 1975 - 331799/168. Let a(t) be the second derivative of 2*t + 0*t**5 + 0*t**2 + 1/60*t**6 - k*t**7 + 0 + 1/24*t**3 - 1/24*t**4. Solve a(z) = 0 for z.
-1, 0, 1
Let s be (12/14)/(18/84). Let q be s/(-10) + (-99)/(-60). Factor q*l**4 + 0 + l**2 - 13/4*l**3 + l.
l*(l - 2)*(l - 1)*(5*l + 2)/4
Let y = 12 - -6. Let u be (-581)/(-63) + (-4)/y. Factor 8*f**4 - 13*f**2 - 3*f**3 - 2*f + 21*f**2 - 2*f**5 - u*f**3.
-2*f*(f - 1)**4
Suppose -84*k + 102*k = 36. Suppose -3/4*p**k + 0*p - 1/4*p**3 + 1 = 0. Calculate p.
-2, 1
Let u(q) be the first derivative of q**6/9 - 4*q**5/15 - q**4/3 + 8*q**3/9 + q**2/3 - 4*q/3 - 28. Solve u(z) = 0.
-1, 1, 2
Suppose -3*x = 5*f - 26, -f + 16 = 3*f. Factor 4/5 - 4/5*d**x - 6/5*d + 6/5*d**3.
2*(d - 1)*(d + 1)*(3*d - 2)/5
Let c be (-2)/(-7)*(-28)/(-240). Let t(a) be the second derivative of 0 - 1/30*a**4 + 4*a + c*a**3 + 1/5*a**2 - 1/100*a**5. Find l, given that t(l) = 0.
-2, -1, 1
Suppose 4*k - k = -5*a - 1, -15 = -3*k + 3*a. Let -8*g**k - 2*g**5 + 5*g**4 - 4*g**2 - 13*g**4 - 2*g**3 = 0. Calculate g.
-2, -1, 0
Suppose -5*x + 12 + 43 = 0. Let d be 1/(-3)*(-44)/x. Suppose d - 2/3*h - 2/3*h**2 = 0. What is h?
-2, 1
Suppose b - 6 = 2*b + 4*j, 3*j = 5*b - 16. Suppose -x**5 + 0 + b*x**3 - 7 + x**4 + 7 = 0. What is x?
-1, 0, 2
Suppose 0*d - 2*d = -4. Suppose -16 = -4*r + 2*o, 5*r + d*o - 19 = 4*o. Suppose 2/3*h**r + 0 - 1/3*h - 1/3*h**5 + 0*h**2 + 0*h**4 = 0. What is h?
-1, 0, 1
Let h be -6*(-2 - 12/(-8)). Factor -18 - 3*m**4 - 10*m**5 + 18 - h*m**4 + 4*m**3.
-2*m**3*(m + 1)*(5*m - 2)
Suppose 0 = -r - 2*w, -2*w + 5 = r - 5*w. Factor -r*v + 2*v**2 + 0 - 1/2*v**3.
-v*(v - 2)**2/2
Factor 1/4*o**2 - 1/2 - 1/4*o.
(o - 2)*(o + 1)/4
Let f(t) be the third derivative of t**7/2100 + t**6/600 + t**5/600 + t**3/6 + 3*t**2. Let m(o) be the first derivative of f(o). Suppose m(g) = 0. Calculate g.
-1, -1/2, 0
Let r = -138 - -138. Let p(h) be the first derivative of -3/14*h**4 + 0*h**2 + 6/35*h**5 - 4 + r*h + 2/21*h**3 - 1/21*h**6. Factor p(g).
-2*g**2*(g - 1)**3/7
Let m(z) be the first derivative of -z - 9/20*z**5 - 1/2*z**2 + 5/6*z**3 + 1 - 1/4*z**4. Let h(b) be the first derivative of m(b). Factor h(c).
-(c + 1)*(3*c - 1)**2
Let f be (-4)/20*(-10)/4. Let c = 7 + -5. Factor -1/2*m**4 + 1/2*m + m**c - f + 1/2*m**5 - m**3.
(m - 1)**3*(m + 1)**2/2
Determine b so that -4*b**2 + 41*b - 41*b + 4 = 0.
-1, 1
Let l(p) be the first derivative of -3*p**5/5 - 3*p**4/2 - p**3 + 16. Suppose l(m) = 0. Calculate m.
-1, 0
Let c be 8/6*-9*1. Let h be ((-18)/c)/(6/8). Factor -h*s + 4/7 + 16/7*s**2 - 6/7*s**3.
-2*(s - 1)**2*(3*s - 2)/7
Solve j**2 + 4*j**3 - 3*j**2 - 2*j**2 = 0.
0, 1
Let v = 13 + -11. Let 0*a**2 + 2*a**v - 3*a**3 + 3*a**2 + a**2 = 0. Calculate a.
0, 2
Find t such that -4/13*t**3 - 10/13*t**4 + 8/13*t**2 - 4/13*t**5 + 8/13*t + 2/13 = 0.
-1, -1/2, 1
Factor 3*n**2 + 9 + n**2 - 14*n - 1 + 2*n.
4*(n - 2)*(n - 1)
Let s(v) be the third derivative of 0*v**3 + v**2 + 0 + 1/70*v**7 + 3/20*v**5 + 0*v + 1/8*v**4 + 3/40*v**6. Factor s(r).
3*r*(r + 1)**3
Factor 3*o**2 - o - 6*o**2 - o - o.
-3*o*(o + 1)
Let v(o) be the second derivative of -o**4/48 + o**3/3 - 2*o**2 - 17*o + 2. What is w in v(w) = 0?
4
Suppose -5*c - y = 0, 0 = -3*c - 2*y + 6*y. Factor 0 - 1/2*j + 1/2*j**3 + c*j**2.
j*(j - 1)*(j + 1)/2
Let w(j) be the third derivative of -j**7/1155 - j**6/220 - j**5/110 - j**4/132 - 40*j**2. Factor w(q).
-2*q*(q + 1)**3/11
Let y(z) be the third derivative of 0*z**7 + 0*z**5 + 2*z**2 + 0*z + 1/60*z**6 - 1/24*z**4 - 1/336*z**8 + 0*z**3 + 0. Let y(r) = 0. What is r?
-1, 0, 1
Let l = 2253/5 - 454. Let z = -63/20 - l. Let 1/4 - 1/4*k**2 - z*k**3 + 1/4*k = 0. What is k?
-1, 1
Find w such that -2/7*w**3 + 2/7*w**4 + 0 + 2/7*w - 2/7*w**2 = 0.
-1, 0, 1
Let d(a) be the second derivative of -2*a**4/3 + 2*a**3 - 2*a**2 - 8*a. Find q such that d(q) = 0.
1/2, 1
Factor 0 - 8/7*n - 24/7*n**2 - 26/7*n**3 - 12/7*n**4 - 2/7*n**5.
-2*n*(n + 1)**2*(n + 2)**2/7
Let n = -8 - -8. Suppose 0*c + n*c - c**3 + 0*c + c = 0. What is c?
-1, 0, 1
Find s, given that -3*s**5 - 68*s**4 + 3*s**2 + 2*s**3 + s**3 + 65*s**4 = 0.
-1, 0, 1
Let h(n) be the first derivative of 2*n**3 + 0*n**2 + 9/4*n**4 + 0*n + 3. Factor h(p).
3*p**2*(3*p + 2)
Let c(i) be the first derivative of -5*i**4/8 - 2*i**3 - 9*i**2/4 - i + 35. Solve c(y) = 0 for y.
-1, -2/5
Suppose 0 + 12/7*y**4 + 8/7*y**2 - 2/7*y**5 + 0*y - 18/7*y**3 = 0. Calculate y.
0, 1, 4
Let u(b) be the second derivative of b**6/195 - b**5/65 - 7*b**4/78 - 4*b**3/39 - 10*b. Factor u(s).
2*s*(s - 4)*(s + 1)**2/13
Suppose 4*p = -2*f + f + 7, 3*p - 3*f = 9. Let g = 4 + -2. Find w such that w**p + 2*w**3 + 4 - 4 - g*w - w**4 = 0.
-1, 0, 1, 2
Let b be (26/(-91))/((-2)/2)*1. Find s, given that 0*s - b*s**2 + 0 = 0.
0
Suppose -4*m = -5*m + 3. Let h(b) = 3 - 6*b**4 - 6*b**3 - 11 + 1. Let s(p) = p**4 + p**3 + 1. Let z(d) = m*h(d) + 21*s(d). Factor z(f).
3*f**3*(f + 1)
Let o(y) = 6*y**4 + 3*y**3 + 3*y**2 - 3*y. Let u(d) = 11*d**4 + 7*d**3 + 5*d**2 - 7*d - 1. Let t(a) = -5*o(a) + 3*u(a). Factor t(w).
3*(w - 1)*(w + 1)**3
Let b(l) = -l**3 - 10*l**2 - l - 8. Let d be b(-10). Let g(f) be the second derivative of -f + 1/4*f**4 - 1/2*f**3 + 0 - 1/20*f**5 + 1/2*f**d. Factor g(y).
-(y - 1)**3
Let d(p) be the first derivative of p**5/5 - p**4 + p**3 + 2*p**2 - 4*p - 6. Find t, given that d(t) = 0.
-1, 1, 2
Determine i so that 0 + 6/5*i + 2*i**2 - 2/5*i**4 + 2/5*i**3 = 0.
-1, 0, 3
Let l = 371/2 - 181. Factor l*u**4 + 18*u + 4 + 29*u**2 + 39/2*u**3.
(u + 1)*(u + 2)*(3*u + 2)**2/2
Let o(p) = p**3 - 5*p**2 - p + 5. Let d(n) = -n**2 + 1. Let j(x) = 2*x**2 + 5*x + 3. Let f be j(-4). Let i(v) = f*d(v) - 3*o(v). Suppose i(m) = 0. What is m?
-1, 0, 1
Let j(i) = -8*i**2 + 2. Let u(g) = g**2 - g - 1. Let r(l) = l**2 + 10*l + 11. Let a be r(-9). Let d(v) = a*u(v) + j(v). Factor d(f).
-2*f*(3*f + 1)
Suppose -c + 6*c = 45. Let z be 0 - (-1 - (-3)/c). Factor 20/3*k**2 - 10/3*k - 2/3*k**5 + z - 20/3*k**3 + 10/3*k**4.
-2*(k - 1)**5/3
Suppose -15*h = -8*h. Factor 3/5*o - 3/5*