 derivative of 3 - 2/15*l**5 + 0*l**2 + 0*l + 2/9*l**3 + 0*l**4. Suppose w(n) = 0. What is n?
-1, 0, 1
Let s = 47 + -140/3. Find k such that -1/3 + s*k**2 + 1/3*k - 1/3*k**3 = 0.
-1, 1
Let u be (-4)/(-10) - (-4)/(-10). Let p(b) be the second derivative of -1/6*b**2 + 2/9*b**3 - 1/6*b**4 - 1/90*b**6 + 1/15*b**5 + u - 2*b. Factor p(i).
-(i - 1)**4/3
Let x = -458/9 - -51. Let w(k) be the second derivative of 1/9*k**3 + 1/30*k**5 + 0*k**2 + 2*k - x*k**4 + 0. What is l in w(l) = 0?
0, 1
Let v(z) be the first derivative of 1/6*z**2 + 0*z**3 - 1/12*z**4 + 1 + 0*z. Factor v(o).
-o*(o - 1)*(o + 1)/3
Factor 4/23*h - 2/23*h**4 + 0*h**3 + 6/23*h**2 + 0.
-2*h*(h - 2)*(h + 1)**2/23
Suppose -5*h = 4*r - 4, h - 5*h - r = -12. Let l(j) be the second derivative of 0*j**h + 0 + 1/27*j**3 + j - 1/90*j**5 + 0*j**2. Let l(p) = 0. Calculate p.
-1, 0, 1
Let q(c) be the third derivative of c**8/84 - 4*c**7/105 + c**6/30 - 15*c**2. Factor q(y).
4*y**3*(y - 1)**2
Suppose -3*j + 4*f - 16 = 0, -5*j + 8*j - 5*f + 20 = 0. What is a in 2/3*a**2 - 1/3*a - 1/3*a**3 + j = 0?
0, 1
What is q in 6*q**2 - q + q**4 - 8 - 8*q**3 + q**4 + 9*q = 0?
-1, 1, 2
Let j be 12*((-3)/(-6) - 0). Solve -14*z**3 + j*z**4 - 4*z**5 - 17*z + 16*z**2 + 3*z**5 + 8*z + 2 = 0.
1, 2
Let d = -83 + 85. Determine r so that 1/2*r**d + 0 - 1/2*r = 0.
0, 1
Let n(z) be the second derivative of z**4/8 + z**3/2 - 9*z**2/4 + 25*z. Factor n(o).
3*(o - 1)*(o + 3)/2
Let g = 12 - 10. Let y = -9 + 16. Factor -d + y*d - 2*d + 0*d**2 + 18*d**g.
2*d*(9*d + 2)
Solve 12 + 187*q**3 + 39*q**3 + 4 + 12*q**2 + 26*q**3 - 80*q = 0 for q.
-2/3, 2/7, 1/3
Let w(f) = f**2 + 3*f - 10. Suppose 15 = -n - 2*n. Let p be w(n). Find l, given that 1/5*l**2 + p + 2/5*l = 0.
-2, 0
Let k be (60/(-50))/(6/(-15)). Find o, given that -8/7*o**2 + 0 + 0*o + 4/7*o**k = 0.
0, 2
Let x be (-2)/(-8) + (-99)/(-36). Factor -7*i**3 + 0*i + 8*i**2 - 4*i + x*i**3.
-4*i*(i - 1)**2
Let o(w) be the first derivative of 1/2*w**2 + 1 - 1/18*w**3 + 1/45*w**5 + 1/24*w**4 + 0*w. Let u(j) be the second derivative of o(j). Factor u(q).
(q + 1)*(4*q - 1)/3
Let o(z) = -3*z**2 + 2*z - 4. Let n(b) = 5 - 8 + 0*b**2 - 2*b**2 + b. Let g(t) = 4*n(t) - 3*o(t). Find k, given that g(k) = 0.
0, 2
Let p = 31982/7 - 4558. Let a = 478/35 - p. Determine q, given that 4/5 - a*q**3 - 22/5*q + 32/5*q**2 = 0.
2/7, 1
Let g(i) = 4*i - 3. Let u be g(2). Let 5 - t**u + 2*t**3 - 4 + 2*t + t**4 - 3*t + 0*t**2 - 2*t**2 = 0. What is t?
-1, 1
Solve 2/5 + 4/5*m + 2/5*m**2 = 0.
-1
Let t(d) be the first derivative of -d**4/5 - 13*d**3/15 - 2*d**2/5 + 12*d/5 + 33. Factor t(u).
-(u + 2)**2*(4*u - 3)/5
Suppose 3*h = 4*h + 1. Let r = h - -4. Suppose 2*l - 2*l + 4*l**r - 2*l**3 + 2*l**2 = 0. What is l?
-1, 0
Suppose 0 = 5*q + k - 19, 0*k = -3*q - 4*k + 8. Suppose 5*y = -3*f - q, -5*y - 10 = -f - y. Factor 0 + 1/5*j**f + 2/5*j.
j*(j + 2)/5
Let v(o) be the third derivative of -o**11/332640 + o**10/50400 - o**9/30240 - o**5/30 - 3*o**2. Let k(g) be the third derivative of v(g). Solve k(p) = 0.
0, 1, 2
Let c(k) be the second derivative of k**6/45 + k**5/6 + k**4/6 - 5*k**3/9 - 4*k**2/3 + 5*k. Factor c(l).
2*(l - 1)*(l + 1)**2*(l + 4)/3
Let x(d) be the second derivative of d**5/100 - d**4/30 + 7*d. Factor x(y).
y**2*(y - 2)/5
Let h(g) be the third derivative of -1/210*g**7 + 1/20*g**5 - 5/24*g**4 + 1/3*g**3 + 0 + 5*g**2 + 1/120*g**6 + 0*g. Find d such that h(d) = 0.
-2, 1
Let q(y) be the first derivative of -1/10*y**5 - 3/16*y**4 - 1/12*y**3 + 0*y + 0*y**2 - 5. Find v such that q(v) = 0.
-1, -1/2, 0
Let l(r) be the second derivative of 2*r**3 - 6*r**2 + r. Let b(y) = y**2 - 13*y + 12. Let q(o) = 4*b(o) + 5*l(o). Factor q(i).
4*(i - 1)*(i + 3)
Let j = -24 - -28. Let o be j/8*(0 + 6). Let 0*q - 2*q**o - 1/2*q**4 + 1/2*q**2 + 2*q**5 + 0 = 0. Calculate q.
-1, 0, 1/4, 1
Let k = -24/31 - -751/930. Let z(y) be the third derivative of 0 + y**2 + 1/150*y**5 - k*y**4 + 0*y + 1/15*y**3. Determine o, given that z(o) = 0.
1
Let h = 682/5 - 136. Factor -2/5*n**3 + 2/5*n - h + 2/5*n**2.
-2*(n - 1)**2*(n + 1)/5
Suppose -9*h + 7*h = -6. What is i in -4/11*i**h + 4/11*i + 0*i**2 + 2/11 - 2/11*i**4 = 0?
-1, 1
Let g(q) = -5*q**4 - q**3 + 4*q**2 - 4*q. Let z(k) = 2 - k**2 + k - 2 + k**4. Let n be 12/(-3) + (2 - 2). Let l(a) = n*z(a) - g(a). Factor l(o).
o**3*(o + 1)
Let m(v) be the first derivative of v**3/15 + v**2/5 + 12. Find l, given that m(l) = 0.
-2, 0
Let r = -13960/989541 + -2/7119. Let p = 288/695 + r. Suppose -p*v**2 - 1/5*v + 2/5*v**4 + 0 + 1/5*v**3 = 0. What is v?
-1, -1/2, 0, 1
Let c(b) be the third derivative of b**8/84 - b**7/105 - b**6/30 + b**5/30 + 14*b**2. Determine a, given that c(a) = 0.
-1, 0, 1/2, 1
Let p = -100/9 - -106/9. Factor -1/3*s**5 + p*s**3 + 0 - 1/3*s + 0*s**2 + 0*s**4.
-s*(s - 1)**2*(s + 1)**2/3
Suppose -x - 2*x - 5*b = -85, -3*x - 4*b = -83. Let d = 29 - x. Factor 1/6*z + 1/6*z**d - 1/6*z**2 + 0 - 1/6*z**3.
z*(z - 1)**2*(z + 1)/6
Suppose 130/3*p - 12 + 14/3*p**4 + 22/3*p**2 - 130/3*p**3 = 0. Calculate p.
-1, 2/7, 1, 9
Let x(i) = 3*i**2 + i - 1. Let a be x(1). Find d such that a*d + d**2 + 3*d + 2*d**2 + 0*d**2 = 0.
-2, 0
Factor 2*s**2 + 28/3*s + 16/3.
2*(s + 4)*(3*s + 2)/3
Let s = -72 - -217/3. Let u(h) be the second derivative of 1/9*h**3 + 1/24*h**4 + 2*h + 0 + 1/180*h**6 - s*h**2 - 1/30*h**5. Factor u(n).
(n - 2)**2*(n - 1)*(n + 1)/6
Let q(d) be the first derivative of d**7/735 + d**6/420 - d**5/210 - d**4/84 - d**2 + 2. Let i(h) be the second derivative of q(h). Factor i(f).
2*f*(f - 1)*(f + 1)**2/7
Suppose 0 = 34*x - 37*x. Let r(k) be the third derivative of 1/105*k**7 - 2/27*k**3 - 1/36*k**4 + 3*k**2 + 7/90*k**5 - 5/108*k**6 + x + 0*k. Solve r(c) = 0.
-2/9, 1
Factor 0 + 0*s - 3/2*s**2.
-3*s**2/2
Let d(n) be the second derivative of 0*n**2 + 0 + 1/10*n**6 + 3/10*n**5 + 0*n**3 + 1/4*n**4 + 2*n. Factor d(p).
3*p**2*(p + 1)**2
Let o(a) be the first derivative of -a**4/12 + a**3/9 + 2*a**2/3 - 4*a/3 + 40. Determine w, given that o(w) = 0.
-2, 1, 2
Let n = -653/5 - -131. Determine b, given that 2/5*b**4 + 0*b + 4/5*b**3 + 0 + n*b**2 = 0.
-1, 0
Find i such that -3/7*i**3 + 3/7*i**2 + 0*i + 0 = 0.
0, 1
Suppose 4*b = -4*s, -3*s + 2*b = -s - 20. Let m(d) be the first derivative of -1/9*d**3 - 1 + 0*d + 0*d**2 + 0*d**4 + 1/15*d**s. Factor m(o).
o**2*(o - 1)*(o + 1)/3
Let z(k) be the third derivative of -k**7/12600 + k**6/1800 - k**5/600 - k**4/12 + 5*k**2. Let f(c) be the second derivative of z(c). Solve f(n) = 0 for n.
1
Let v(i) = i. Let p(z) = -z**2 + 9*z - 3. Let w(f) = -3*p(f) + 15*v(f). Determine l, given that w(l) = 0.
1, 3
Factor 0 + 0*o**2 + 2/7*o**5 + 2/7*o + 0*o**4 - 4/7*o**3.
2*o*(o - 1)**2*(o + 1)**2/7
Suppose -822 + 2*l**3 + 4*l**2 + 2*l + 822 = 0. What is l?
-1, 0
Let d be ((-894)/126 + 7)/(4/(-6)). Factor 0*s + 0 + d*s**2 - 1/7*s**3.
-s**2*(s - 1)/7
Let w(i) be the first derivative of -i**3 + 0*i**3 + 0*i**3 + 4 - 3*i - 3*i**2. Solve w(q) = 0.
-1
Factor -145*h**3 - 6*h**4 - 47*h - 56*h**4 + 150*h**2 + 17*h**4 + 87*h.
-5*h*(h - 1)*(h + 4)*(9*h + 2)
Factor -18*x**2 + 17*x**2 + 13*x + 4 - 9*x - x**3.
-(x - 2)*(x + 1)*(x + 2)
Let v(f) be the third derivative of f**8/2016 - f**7/126 + 13*f**6/240 - 37*f**5/180 + 17*f**4/36 - 2*f**3/3 + 26*f**2. Factor v(w).
(w - 3)*(w - 2)**3*(w - 1)/6
Let a(h) = -3*h**3 - h + h + 2 + 5*h**2 - h**4. Let t(j) = -j**3 + j**2 + 1. Let v = -2 - 0. Let c(b) = v*a(b) + 6*t(b). Determine d so that c(d) = 0.
-1, 1
Let y(g) be the second derivative of -2*g**7/21 + 11*g**6/10 - 26*g**5/5 + 38*g**4/3 - 16*g**3 + 8*g**2 + 3*g. Let y(c) = 0. What is c?
1/4, 2
What is y in 114*y**2 + 108*y**4 - 339/2*y**3 - 63/2*y - 24*y**5 + 3 = 0?
1/4, 1, 2
Factor -1 + 2 + 2 - 3*z**2.
-3*(z - 1)*(z + 1)
Let j(g) be the third derivative of -g**8/84 - 2*g**7/105 + g**6/30 + g**5/15 - 10*g**2. Let j(v) = 0. Calculate v.
-1, 0, 1
Let o(i) be the first derivative of -2/65*i**5 + 2/39*i**3 - 3 - 2/13*i**2 + 1/13*i**4 + 0*i. Determine z so that o(z) = 0.
-1, 0, 1, 2
Let w(u) be the second derivative of -u**6/30 - 3*u**5/20 + 3*u**4/4 - 5*u**3/6 - 4*u. Find z, given that w(z) = 0.
-5, 0, 1
Let l(m) be the third derivative of -7*m**6/300 + 19*m**5/150 + m**4/10 - 6*m**2. Factor l(i).
-2*i*(i - 3)*(7*i + 2)/5
Let f(n) be the third derivative of -n**9/30240 + n**8/5040 - n**7/2520 - n**5/30 - 