.
-1, 1, 2
Let n(s) be the second derivative of -s**10/15120 + s**8/3360 - s**4/12 + 3*s. Let q(h) be the third derivative of n(h). Suppose q(o) = 0. Calculate o.
-1, 0, 1
Determine r so that 0 - 1 + 29*r**2 - 28*r**2 = 0.
-1, 1
Suppose 5*x + 3*t = 0, 5*t = x + 4*x. Suppose x = -5*u + u. Factor u + 2/5*b**2 + 2/5*b - 2/5*b**4 - 2/5*b**3.
-2*b*(b - 1)*(b + 1)**2/5
Let v(q) be the first derivative of q**5/60 - q**3/18 - q - 2. Let g(w) be the first derivative of v(w). Factor g(r).
r*(r - 1)*(r + 1)/3
Suppose -2*l + 6*l + 19 = -3*x, 5*l = -3*x - 20. Let s = 2 - x. Find b, given that -6*b**5 - 2 - 26*b**4 - 14*b - 44*b**3 - 11*b**2 - s*b**2 - 18*b**2 = 0.
-1, -1/3
Factor -5*s - s + 28*s**3 + 7*s + 7*s - 36*s**2.
4*s*(s - 1)*(7*s - 2)
Let k(n) be the first derivative of 2*n**3/51 - 2*n**2/17 - 7. Let k(y) = 0. What is y?
0, 2
Let q(g) = 15*g - 58. Let o be q(4). Find k such that -1 + 51/4*k**o + 83/4*k**3 - 2*k + 7*k**4 = 0.
-2, -1, -1/4, 2/7
Let j(y) = y**2 - y - 3. Let p be j(-2). Let t be 161/140 - p/4. Determine c so that -2/5 + 2/5*c**2 - 2/5*c + t*c**3 = 0.
-1, 1
Let m = 4 - 3. Factor 5*n**2 - 2*n + n**4 + 2*n**3 + n**2 - 6*n**2 - m.
(n - 1)*(n + 1)**3
Let y(l) be the first derivative of 5*l**4/3 + 17*l**3/9 - 5*l**2/6 - 2*l/3 + 2. Factor y(k).
(k + 1)*(4*k + 1)*(5*k - 2)/3
Let b be 18/4 + -1*28/7. Determine k, given that 2 + b*k**2 - 2*k = 0.
2
Let w be 1 + 0 + 15/55. Let r = -4 + 4. Find l, given that -w*l**2 - 4/11*l + r = 0.
-2/7, 0
Let t(g) = -g**2 - 3*g + 2. Let m be t(-2). Suppose -p**2 - m - 2*p**4 - 2*p**3 + 4 + 3*p**2 + 2*p**5 = 0. Calculate p.
-1, 0, 1
Suppose 0 = 44*t - 49*t. Solve 2/9*l - 2/9*l**3 + 0 + t*l**2 = 0.
-1, 0, 1
Let f(k) be the first derivative of -k**6/18 + 4*k**5/15 - k**4/3 - 2*k**3/9 + 5*k**2/6 - 2*k/3 + 2. Factor f(i).
-(i - 2)*(i - 1)**3*(i + 1)/3
Let k be (1*(-8)/(-18))/(208/156). What is i in k*i**2 - 1/3*i - 2/3 = 0?
-1, 2
Suppose -3*v + 10 = t, v + t - 6 + 0 = 0. Factor 1/2*n**v + 1/2*n + 0 - 1/2*n**3 - 1/2*n**4.
-n*(n - 1)*(n + 1)**2/2
Determine a, given that -3/4*a**3 + a**4 + 1/4*a**5 - 6 - 13*a - 17/2*a**2 = 0.
-2, -1, 3
Suppose 4*t - 1 = 2*m - 9, t + 2*m + 7 = 0. Let v be ((-9)/t - 3)*-1. Solve 1/2*l**2 - 1/4*l**3 + v - 1/4*l = 0.
0, 1
Let x(i) be the third derivative of -i**8/448 + i**6/80 - i**4/32 - 16*i**2. Factor x(l).
-3*l*(l - 1)**2*(l + 1)**2/4
Let p be (-6)/3*(-1 - 0)/4. Let 2 + 1/2*q**5 - p*q**3 + 3/2*q**4 + 0*q - 7/2*q**2 = 0. Calculate q.
-2, -1, 1
Let h be 0/(((-4)/1)/2). Suppose 0 = -2*w - 2*i + 8, h = -5*i + 3 + 2. Factor 4*x**5 + x**2 + x**4 + x**w - 2*x**4 - 5*x**5.
-x**2*(x - 1)*(x + 1)**2
Suppose w - 1 = 2. Factor -5*g**4 - g**4 - w*g - g**2 - 3*g**5 + 7*g**2 + 6*g.
-3*g*(g - 1)*(g + 1)**3
Let v(j) = 9*j**2 + 24*j + 12. Let n(s) = -9*s**2 - 24*s - 12. Let x(a) = 3*n(a) + 2*v(a). Find m such that x(m) = 0.
-2, -2/3
Let s(a) be the first derivative of 2*a**6/3 - 2*a**4 + 2*a**2 - 8. Factor s(j).
4*j*(j - 1)**2*(j + 1)**2
Let b(u) be the third derivative of -u**8/20160 - u**7/5040 - u**5/20 + 2*u**2. Let n(r) be the third derivative of b(r). Let n(v) = 0. Calculate v.
-1, 0
Let a(w) be the first derivative of w**2/2 - 18*w - 8. Let b be a(18). Let b*c + 0*c**3 - 4/5*c**2 + 2/5*c**4 + 2/5 = 0. What is c?
-1, 1
Suppose -3*n = 5*g - 19, 16 = 3*g + 5*n - 5. Determine k so that 3*k**3 - 2*k**2 - 40*k**4 + g*k**2 + 34*k**4 = 0.
0, 1/2
Suppose 2*t = -f + 6, -5*t - 9 = 1. Let b be (6 - 3) + (-25)/f. Factor 0 + 1/4*w**2 + b*w.
w*(w + 2)/4
Let g(j) = -j**3 + 3*j**2 + j + 1. Let f be g(3). Let n = f - 4. Factor n - v - 1/2*v**2.
-v*(v + 2)/2
Let p be (4 + (-7)/2)*4. Let j(f) be the second derivative of -1/7*f**p + 2*f + 1/42*f**4 + 0 + 0*f**3. Factor j(t).
2*(t - 1)*(t + 1)/7
Suppose 4*x - 5*x - u = -8, 0 = 3*u - 12. Let -16/3*f**2 - 8/9*f - 14/3*f**3 + 0 + 98/9*f**x = 0. What is f?
-2/7, 0, 1
Factor -12*p**4 - p + 11*p - 16*p**3 - 2*p + 20*p**2.
-4*p*(p - 1)*(p + 2)*(3*p + 1)
Let l be 17/2 + (-1)/2. Let b be (-40)/(-18) + l/(-36). Factor 24/5*w + 2/5*w**3 + 16/5 + 12/5*w**b.
2*(w + 2)**3/5
Factor -10*n - 14*n**3 + 9*n**3 - 5*n**4 + 10*n.
-5*n**3*(n + 1)
Suppose -9*g**4 + 0*g + 5*g**2 - 12*g + 57*g**3 - 12*g**4 - 29*g**2 = 0. What is g?
-2/7, 0, 1, 2
Let y be (-10)/(-3) - (-3 + 6). Let c(v) be the first derivative of 1 - 2/3*v**3 - 6/5*v**5 - 3/2*v**4 + 0*v - y*v**6 + 0*v**2. Suppose c(s) = 0. What is s?
-1, 0
Determine l so that l**4 - 8 - 3*l**4 + 18*l**2 - 4*l**3 - 4*l**4 = 0.
-2, -2/3, 1
Let l = -43/12 + 23/6. Find v, given that 0 - 3/4*v**4 - l*v**2 + 0*v - 1/4*v**5 - 3/4*v**3 = 0.
-1, 0
Let i(d) be the second derivative of d**4/15 - 2*d**3/5 - 8*d**2/5 - 9*d. Factor i(v).
4*(v - 4)*(v + 1)/5
Let w(g) = -g + 39. Let q be w(39). Solve -1/6*c**3 + q*c**2 + 1/6*c + 0 = 0.
-1, 0, 1
Factor 3*b + 6*b**4 + 5*b**2 - 42*b**4 + 29*b + 75*b**2 + 24*b**3.
-4*b*(b - 2)*(3*b + 2)**2
Factor 6/7*d + 8/7 - 6/7*d**3 - 10/7*d**2 + 2/7*d**4.
2*(d - 4)*(d - 1)*(d + 1)**2/7
Suppose -s - 4*q + 6*q - 103 = 0, 0 = -3*s + 5*q - 308. Let f = s - -313/3. Suppose 2/3*i**5 - 2/3*i**4 - 4/3*i - 2*i**3 + f*i**2 + 0 = 0. Calculate i.
-2, 0, 1
Solve -2/7*b**2 + 2/7*b**4 + 2/7*b + 0 - 2/7*b**3 = 0 for b.
-1, 0, 1
Factor 36 - 68*g + 28*g**2 + 19*g**3 + 24*g**3 - 39*g**3.
4*(g - 1)**2*(g + 9)
Let l = -292 + 2632/9. Factor l - 2/9*p**2 - 2/9*p.
-2*(p - 1)*(p + 2)/9
Suppose -4*v = -5*n + 25, -20*v = -18*v + n - 5. Factor v - t**2 - 1/3*t**3 + 0*t.
-t**2*(t + 3)/3
Let s(r) = 4*r**4 + 2*r**3 - 6*r**2. Let p(n) = n**5 + n**3 - n**2 - n. Let l(i) = -4*p(i) + 2*s(i). Let l(a) = 0. Calculate a.
-1, 0, 1
Let c be (-2)/9 + 140/225. Find u such that -c*u**2 + 0*u + 2/5 = 0.
-1, 1
Let m(o) be the second derivative of 0 - 8/3*o**3 - 6*o**2 + 7*o - 1/3*o**4. Solve m(f) = 0.
-3, -1
Let m = 3260/5213 - 4/401. Determine w so that 4/13 + 10/13*w - 22/13*w**2 + m*w**3 = 0.
-1/4, 1, 2
Let x(n) = 6*n**4 + 16*n**3 + 30*n**2 + 2*n. Let p(s) = s**3 - s**2 + s. Let v(f) = -12*p(f) - 2*x(f). Factor v(d).
-4*d*(d + 1)*(d + 2)*(3*d + 2)
Let u be (-6)/9 - 47/(-3). Suppose 5*z - u = -5*b, -z + 9 = -0*b + 3*b. Factor g**b + g**2 + 0 + 1/3*g**4 + 1/3*g.
g*(g + 1)**3/3
Let r(w) be the first derivative of 4*w**5 - 3*w**4 - 8*w**3/3 - 9. Factor r(c).
4*c**2*(c - 1)*(5*c + 2)
Let z = -3 - -6. Let -8*j**z + 0*j**3 + 3*j + 3*j**5 + 2*j**3 = 0. What is j?
-1, 0, 1
Let 0 - 1/2*g + 1/2*g**3 + 0*g**2 = 0. What is g?
-1, 0, 1
Suppose -8/11*a**4 - 2/11*a**5 + 20/11*a**2 + 0*a + 0 + 14/11*a**3 = 0. Calculate a.
-5, -1, 0, 2
Let b be ((2/(-14))/((-16)/56))/1. Factor -b - 1/2*k**2 - k.
-(k + 1)**2/2
Let o(h) be the first derivative of -1/120*h**6 - 3*h + 0*h**2 - 1/6*h**4 - 1/16*h**5 - 1/6*h**3 + 1. Let a(n) be the first derivative of o(n). Factor a(j).
-j*(j + 1)*(j + 2)**2/4
Let c(s) be the third derivative of 0 - 1/3*s**3 - 2*s**2 + 1/15*s**6 + 0*s - 1/10*s**5 - 1/3*s**4 + 4/105*s**7. Let c(t) = 0. Calculate t.
-1, -1/2, 1
Let z be -2 - (-7)/(-1)*-2. Suppose -z*v = -8*v - 12. Factor -4/5 - 11/5*r**2 + 12/5*r + 3/5*r**v.
(r - 2)*(r - 1)*(3*r - 2)/5
Let s(n) = 4*n**3 - 45*n**2 + 30*n. Let p(z) = -z**3 + 9*z**2 - 6*z. Let y(m) = -11*p(m) - 2*s(m). Factor y(o).
3*o*(o - 2)*(o - 1)
Let k = 12 - 5. Suppose k = 2*j + 1. Factor -1 + 2*v - j + 5*v**2 - 10*v.
(v - 2)*(5*v + 2)
Let h(p) = 22*p**3 + 42*p**2 + 12*p + 4. Let k(o) = o - 1. Let b(u) = h(u) + 6*k(u). Factor b(i).
2*(i + 1)**2*(11*i - 1)
Suppose 0 = -f - 3*f + 20. Let z(l) = l**3 - 5*l**2 - 3*l + 1. Let c(o) = -o**3 + 11*o**2 + 6*o - 1. Let t(h) = f*z(h) + 2*c(h). Factor t(w).
3*(w - 1)**2*(w + 1)
Let l(z) be the first derivative of -z**6/6 - 2*z**5/5 + z**4/4 + 2*z**3/3 - 4. Factor l(n).
-n**2*(n - 1)*(n + 1)*(n + 2)
Let u(g) = 21*g**2 + 1. Let r(x) = 4*x**2. Let k(m) = -11*r(m) + 2*u(m). Determine t so that k(t) = 0.
-1, 1
Solve a + 5*a**2 - 2*a**2 + 5*a = 0.
-2, 0
Suppose 0 = -27*l + 25*l. Let y(u) be the third derivative of 2*u**2 + 7/240*u**5 + 0*u + 1/48*u**4 + l + 0*u**3 + 1/96*u**6. Factor y(m).
m*(m + 1)*(5*m + 2)/4
Let i be (0/(-13))/(8/2 + -3). Let 2/13*s + 2/13*s**2 + i = 0. What is s?
-1, 0
Let u(f) be the first derivative of 2/5*f**2 - 3*f - 1/30*f**4 - 3 - 1/15*f**3. Let b(c) be the first derivative of u(c). Determine r, given that b(r) = 0.
-2, 1
Let r(k) = -k**3 - 3*k**2 + 2. Let v be r(-3). Find w suc