is s?
-1, -1/3, 0
Let d(l) be the first derivative of -l**5 - 15*l**4/4 - 10*l**3/3 + 12. Factor d(r).
-5*r**2*(r + 1)*(r + 2)
Let t(v) = -v + 11. Let o be t(6). Factor -4*x**2 - 6*x - 6*x**3 + o*x - x**5 + 2*x**5 - 2*x**5 - 4*x**4.
-x*(x + 1)**4
Let -17/4*d + 17/4*d**2 + 3/2 + 1/4*d**4 - 7/4*d**3 = 0. What is d?
1, 2, 3
Let x(u) be the third derivative of -u**8/6720 - u**7/3360 - 4*u**3/3 - 3*u**2. Let j(s) be the first derivative of x(s). Suppose j(o) = 0. Calculate o.
-1, 0
Suppose 0 = -n - 4*n + 6*n. Let r = -6 - -10. Let -2/9*z**3 + 2/9*z + 2/9*z**2 + n - 2/9*z**r = 0. Calculate z.
-1, 0, 1
Determine q, given that 0 - 4/5*q**2 + 2/5*q**3 + 0*q = 0.
0, 2
Let v = 5 + -2. Let x(a) be the third derivative of -1/108*a**4 + 1/540*a**6 + 1/270*a**5 + a**2 + 0 + 0*a - 1/27*a**v. Factor x(d).
2*(d - 1)*(d + 1)**2/9
Let h = -7 - -13. Suppose 3*i - h*i - 3*i**2 + 0*i = 0. Calculate i.
-1, 0
Let h(j) be the third derivative of j**6/360 + j**5/120 - j**3/3 + 3*j**2. Let z(v) be the first derivative of h(v). Find b such that z(b) = 0.
-1, 0
Let k(w) be the third derivative of w**6/24 + w**5/12 - 5*w**4/24 - 5*w**3/6 + 12*w**2. Factor k(g).
5*(g - 1)*(g + 1)**2
Let l(k) = k - 3. Let w be l(4). Let b be w*(1/(-3))/(-1). Let -1/3*f**3 + b*f**2 + 0 + 0*f = 0. Calculate f.
0, 1
Let l(n) be the first derivative of -8*n**3/21 - 9*n**2/7 - 4*n/7 - 2. Suppose l(p) = 0. Calculate p.
-2, -1/4
Let q(a) be the third derivative of -a**6/160 - 3*a**5/80 - 21*a**2. Let q(k) = 0. What is k?
-3, 0
Let a = 14 + -11. Suppose -a - 1 = -2*g. Factor 4*k**g - k**3 - 1/2 - k - 7/2*k**4 + 2*k**5.
(k - 1)**3*(k + 1)*(4*k + 1)/2
Let v(p) = p + 4. Let z be v(-2). What is t in 10*t**3 + t**2 - 2*t + 7*t**3 + 3*t**z - 41*t**4 + t**2 + 21*t**5 = 0?
-1/3, 0, 2/7, 1
Let l be (0/11)/(1 + 0). Let y(o) be the second derivative of 2/3*o**2 - o + 49/36*o**4 - 14/9*o**3 + l. What is b in y(b) = 0?
2/7
Let y(p) be the first derivative of p**5/40 - p**4/12 - 2*p - 4. Let n(w) be the first derivative of y(w). What is b in n(b) = 0?
0, 2
Let v(n) be the third derivative of -n**8/1680 - n**7/210 - n**6/60 - n**5/30 - n**4/24 - n**3/30 + 15*n**2. Find y, given that v(y) = 0.
-1
Suppose -5*l + 3*l - 4*w - 4 = 0, 0 = -5*l + 3*w + 16. What is m in m**3 + 3*m**3 - 5*m**3 - m**l = 0?
-1, 0
Let h(f) = -f**2 - 7*f - 6. Let c be h(-7). Let k = c - -9. Suppose -6/11*r - 4/11 - 24/11*r**k + 34/11*r**2 = 0. What is r?
-1/4, 2/3, 1
Let c be 6/8*(-2)/(-18). Let n(d) be the second derivative of -c*d**4 + 0*d**2 + 1/20*d**5 - 2*d + 0*d**3 + 0. Factor n(q).
q**2*(q - 1)
Let v(y) = -y**4 + y**3 + 3*y**2 - 7*y - 2. Let s(z) = -10*z**2 - 2*z**3 + 4*z**4 + 10 - 2 + 22*z - 2. Let h(p) = -6*s(p) - 20*v(p). Let h(o) = 0. Calculate o.
-1, 1
Let f(t) = -23*t**2 + 28*t + 3. Let v(o) = o**2 + o. Let x(b) = f(b) - 4*v(b). Suppose x(h) = 0. What is h?
-1/9, 1
Let u(f) be the second derivative of f**5/4 - 5*f**3/6 - 13*f. Factor u(b).
5*b*(b - 1)*(b + 1)
Let n(a) be the third derivative of -3*a**6/40 - a**5/2 - 9*a**4/8 - a**3 + 2*a**2 - 11*a. Solve n(c) = 0.
-2, -1, -1/3
Let g = 0 + 6. Factor 6*z**2 + 20*z**3 - 17*z - 5*z - 8 + 6*z**4 + 4*z - g*z.
2*(z - 1)*(z + 2)**2*(3*z + 1)
Let k be (-7)/(98/36) - 0. Let v = -40/21 - k. Determine f, given that -1/3*f + v*f**4 + 0 + f**3 + 0*f**2 = 0.
-1, 0, 1/2
Factor 21*f**3 + 18 + 27*f**2 + 51*f + 3*f**4 + 44*f**2 - 20*f**2.
3*(f + 1)**2*(f + 2)*(f + 3)
Factor -8/5*j**3 - 4/5*j**4 + 4/5 + 0*j**2 + 8/5*j.
-4*(j - 1)*(j + 1)**3/5
Let k(n) be the first derivative of n**6/36 + n**5/5 + n**4/2 + 5*n**3/9 + n**2/4 + 7. Find o such that k(o) = 0.
-3, -1, 0
Let u(p) be the second derivative of -p**8/1680 + p**6/600 - p**2 - 4*p. Let l(q) be the first derivative of u(q). Solve l(w) = 0 for w.
-1, 0, 1
Factor 1 + 3*f + 4*f**2 - 4*f**3 + 7*f**3 - 2*f**3 - f**2.
(f + 1)**3
Let s(o) be the third derivative of -o**6/90 + 13*o**5/180 - 11*o**4/72 + o**3/9 + 17*o**2. Factor s(d).
-(d - 2)*(d - 1)*(4*d - 1)/3
Let s(h) = h**3 - 4*h**2 - h - 4. Let w(i) = 9*i**2 + i**2 - 3*i**3 + 12 + 3*i - 3 - i**2. Let x(m) = 9*s(m) + 4*w(m). Let x(d) = 0. What is d?
-1, 0, 1
Let c be 2/8*2*20. Factor -2 - 1 - c*z**2 + 3*z**3 + 9*z - 3*z**2 + 4*z**2.
3*(z - 1)**3
Let v(x) = -x - 3. Let k be v(-11). Factor -i**2 - k + 5*i - i**2 + 3*i.
-2*(i - 2)**2
Let k(w) be the first derivative of w**5/5 + 3*w**4/4 - 2*w**2 + 2. Factor k(m).
m*(m - 1)*(m + 2)**2
Let a(g) be the second derivative of -3*g**5/10 + 5*g**4/6 - 7*g**3/9 + g**2/3 - 18*g + 1. Factor a(z).
-2*(z - 1)*(3*z - 1)**2/3
Suppose -5*r + r + v + 15 = 0, -3*r + 9 = -3*v. Determine j so that -1/4*j**r + 1/2*j + 0 + 1/4*j**2 - 1/2*j**3 = 0.
-2, -1, 0, 1
Suppose 4 = h - 5*t, 1 = -h - 4*t + 14. Let c be (h + -8)*2/1. Suppose c*j**2 + 4*j**3 + 1/4 - 7/4*j = 0. Calculate j.
-1, 1/4
Let x(l) be the first derivative of -2*l**5/15 - 5*l**4/18 - l**3/18 + l**2/6 - 5*l + 5. Let j(y) be the first derivative of x(y). Solve j(w) = 0 for w.
-1, -1/2, 1/4
Suppose 0 + 1 = -i. Let p(d) = 374*d**3 + 226*d**2 + 45*d + 2. Let c(y) = -y**3 + y**2 - 1. Let u(t) = i*c(t) + p(t). Factor u(w).
3*(5*w + 1)**3
Let b(t) = -2*t + 14. Let s be b(7). Let c(r) be the first derivative of 1/12*r**4 + s*r - 1 + 0*r**3 - 1/6*r**2. Find v, given that c(v) = 0.
-1, 0, 1
Suppose -5*g = -21 + 1. Suppose g*q = -q. Factor 20*h**2 - 2*h - 3 - 3 + q + 2.
2*(2*h - 1)*(5*h + 2)
Find k, given that 5*k + 4*k - 6 + 0*k**3 + k - 2*k**3 - 2*k**2 = 0.
-3, 1
Let g(w) be the first derivative of -w**6/150 - 7*w**5/200 + w**4/20 + 4*w**3/3 - 9. Let r(i) be the third derivative of g(i). Factor r(m).
-3*(m + 2)*(4*m - 1)/5
Let n = 13 - 89/7. Let 4/7*z**2 + n*z - 2/7*z**5 - 4/7*z**4 + 0*z**3 + 0 = 0. What is z?
-1, 0, 1
Let x = -26 - -29. Let n(w) be the third derivative of 1/315*w**7 + 1/180*w**6 + 0 + 0*w + 0*w**4 + 0*w**x - 3*w**2 + 0*w**5. Factor n(o).
2*o**3*(o + 1)/3
Let j be (-12)/(-10)*(-45)/(-6). Let t = 9 - j. Factor 2/5*s**3 - 2/5*s + t + 0*s**2.
2*s*(s - 1)*(s + 1)/5
Let y = 22 + -18. Let a(h) be the second derivative of 1/8*h**y - 1/4*h**3 + 0 - 1/40*h**5 + 1/4*h**2 + 2*h. Factor a(j).
-(j - 1)**3/2
Let q = 0 + -3. Let f(r) = -18*r**4 - 20*r**3 - 4*r**2 - 7*r + 7. Let u(k) = k**4 - k + 1. Let x(y) = q*f(y) + 21*u(y). Factor x(n).
3*n**2*(5*n + 2)**2
Let m be (-13 + 5)*(-2)/4. Suppose 0 = 2*a - 10 + m. Factor 4/7 - 4/7*x**2 - 10/7*x + 10/7*x**a.
2*(x - 1)*(x + 1)*(5*x - 2)/7
What is i in -3*i**3 - 5813*i + 0*i**3 - i**3 - 2*i**4 - 6 + 8*i**2 + 5817*i = 0?
-3, -1, 1
Let j = -26 + 26. Let f(z) be the third derivative of 0 - 1/96*z**6 + 1/20*z**5 - 3/32*z**4 + 1/12*z**3 - z**2 + j*z. Suppose f(g) = 0. What is g?
2/5, 1
Let f(u) be the second derivative of 10*u**7/21 + 16*u**6/15 - 4*u**5/5 - 10*u**4/3 - 2*u**3/3 + 4*u**2 - 6*u. Factor f(w).
4*(w - 1)*(w + 1)**3*(5*w - 2)
Let c(x) be the first derivative of 0*x**2 - 1/9*x**6 + 1/6*x**4 + 0*x**3 + 0*x + 2 + 0*x**5. Determine n so that c(n) = 0.
-1, 0, 1
Let d be ((-13)/(-10) - 1)*(-196)/(-147). Factor g**2 + d + 7/5*g.
(g + 1)*(5*g + 2)/5
Suppose -2*v = -7*v + 30. Let w(x) be the second derivative of 0*x**3 + 1/75*x**v + 0 + 1/30*x**4 - 1/25*x**5 + 0*x**2 + 3*x. Factor w(s).
2*s**2*(s - 1)**2/5
Let c(v) be the second derivative of -v**8/960 - v**7/1680 + 7*v**6/1440 + v**5/240 - v**3/6 + 3*v. Let l(y) be the second derivative of c(y). Factor l(j).
-j*(j - 1)*(j + 1)*(7*j + 2)/4
Let r(z) be the first derivative of -z**4/7 + 8*z**3/7 - 18*z**2/7 + 2. Solve r(k) = 0 for k.
0, 3
Let z be 1 + (-1)/((-2)/8). Let j(c) be the third derivative of 0*c**4 + 1/540*c**6 + 0 + 0*c**z - 2*c**2 + 0*c**3 + 0*c. Suppose j(o) = 0. Calculate o.
0
Let z(a) = -a**3 - 4*a**2 - 5*a - 2. Let b be z(-3). Factor 3*r - 2*r**3 - b*r**2 - 2*r + r + 4*r**3.
2*r*(r - 1)**2
Let v = -9 - -13. Suppose 2*o - v = 2. Factor o*t**3 - 4*t**3 + t**2 - t**5 - 3*t**3 - t**4 + 5*t**3.
-t**2*(t - 1)*(t + 1)**2
Let g(i) = i**4 + i**3 + i**2 - i - 1. Let y(d) = 3*d**4 + 13*d**3 + 15*d**2 - 13*d - 17. Let r(b) = 2*g(b) - 2*y(b). Find l, given that r(l) = 0.
-4, -2, -1, 1
Let r(u) be the second derivative of -2*u + 0*u**3 + 1/20*u**5 + 1/60*u**6 + 0 + 1/24*u**4 + 0*u**2. Factor r(o).
o**2*(o + 1)**2/2
Let f(v) = 6 + 4 - 3*v - 2 - 5*v**2 - 2. Suppose -l + 5 = 4*l. Let t(g) = -g**2 - g + 1. Let b(c) = l*f(c) - 4*t(