first derivative of -4/5*t + 1/10*t**4 - 3 - 1/5*t**2 + 4/15*t**3. Factor y(p).
2*(p - 1)*(p + 1)*(p + 2)/5
Let i be 30/6 - (0 + 0). Factor -3*t**i + 4*t**4 + t**3 + 4*t**5 - 2*t**4.
t**3*(t + 1)**2
Let q be (3/(-6))/((-3)/18). Factor d - d + 3*d**q + 0*d.
3*d**3
Let o = 118/213 - -8/71. Find r, given that -o*r**2 + 4/3*r + 0 = 0.
0, 2
Let r = 40 - 40. Let k(l) be the third derivative of 0*l + r + 0*l**3 - 3*l**2 + 0*l**4 - 1/120*l**5. Factor k(d).
-d**2/2
Let q be 2/3*(-9)/(-3). Suppose 5*y - 4*a - 27 = -0*y, 4*a = -5*y + 3. Factor 10*f + 6*f**2 + 1 + y + 2*f**3 + 2*f**q.
2*(f + 1)**2*(f + 2)
Let s(q) be the third derivative of q**7/4200 - q**6/600 + q**5/200 - q**4/24 + q**2. Let f(i) be the second derivative of s(i). Factor f(d).
3*(d - 1)**2/5
Let b(v) be the second derivative of v**5/20 - 7*v**4/24 + 7*v**3/12 - v**2/2 + 13*v. Factor b(w).
(w - 2)*(w - 1)*(2*w - 1)/2
Factor 2/9*n**4 + 2/9*n**3 + 0*n - 4/9*n**2 + 0.
2*n**2*(n - 1)*(n + 2)/9
Let x(z) = 2*z**4 - 2*z**3 + 5*z**2 + 9*z. Let u(w) = -2*w**4 + 2*w**3 - 4*w**2 - 8*w. Let r(k) = -7*u(k) - 6*x(k). Determine m, given that r(m) = 0.
-1, 0, 1
Let r(g) be the third derivative of -g**5/20 - g**4/4 - g**3/2 + 8*g**2. Factor r(x).
-3*(x + 1)**2
Let o(k) be the second derivative of -k**5/20 - k**4/4 - k**3/3 + 39*k. Determine f, given that o(f) = 0.
-2, -1, 0
Suppose -27*s = -20*s - 35. Solve 3/2*n**2 + 0*n - 3/2*n**4 - 3/2*n**3 + 0 + 3/2*n**s = 0 for n.
-1, 0, 1
Let g(t) = -t**4 + t**3 + 1. Let q be -4*(1 - 10/8). Let y(u) = 2*u**5 - 3*u**4 - u**3 + 4*u**2 - 2*u - 1. Let z(m) = q*y(m) + g(m). Solve z(w) = 0 for w.
-1, 0, 1
Let d = -6 - -3. Let j = -2 - d. Let w(i) = 8*i**3 - 6*i**2 + 12*i - 2. Let z(p) = p**3 + p. Let x(a) = j*w(a) - 6*z(a). Factor x(t).
2*(t - 1)**3
Let d(l) be the first derivative of -l**4/18 - 4*l**3/9 - 4*l**2/3 + 2*l + 1. Let a(k) be the first derivative of d(k). Determine q, given that a(q) = 0.
-2
Find m, given that 6*m - 738*m**3 + m**5 + 723*m**3 + 3*m**2 - 3*m**4 + 8*m**5 = 0.
-1, -2/3, 0, 1
Let p(x) be the first derivative of -7*x**4/20 + 2*x**3 - 18*x**2/5 + 8*x/5 - 6. Suppose p(f) = 0. Calculate f.
2/7, 2
Let o(n) be the third derivative of -n**10/50400 + n**8/11200 + 5*n**4/24 - 4*n**2. Let k(j) be the second derivative of o(j). Factor k(h).
-3*h**3*(h - 1)*(h + 1)/5
Let h(z) = -2 + 4 + 7*z**3 - 4*z**3 + z**2 + 2*z. Let n(w) = -10*w**3 - 4*w - 3*w - 7 - 2*w**2 - 2*w**2. Let u(c) = 7*h(c) + 2*n(c). Factor u(i).
i**2*(i - 1)
Let r(c) = 4*c**3 + 14*c**2 + 23*c + 11. Let p(h) = h**3 - h**2 - h - 1. Let d(q) = p(q) - r(q). Factor d(b).
-3*(b + 1)*(b + 2)**2
Let d be (-13)/(-104) + 30/16. Let s = 3/20 + 1/10. Factor s*r**d - 1/2*r + 1/4.
(r - 1)**2/4
Solve -4/3*m**5 + 8/3*m**3 + 8/3*m**2 - 4/3*m - 4/3 - 4/3*m**4 = 0.
-1, 1
Suppose -10 = -3*g - 2*g. Let w(t) be the second derivative of 1/40*t**5 - 2*t + 1/12*t**3 - 1/12*t**4 + 0 + 0*t**g. Factor w(r).
r*(r - 1)**2/2
Let o(k) be the third derivative of -k**6/360 - k**5/45 - k**4/24 + k**2 - 5*k. Factor o(d).
-d*(d + 1)*(d + 3)/3
Suppose -5*j = s + 2, 2*s = -j - 3*s - 10. Factor -4/9*x**4 - 4/9*x**3 + 0*x + 0*x**2 + 35/9*x**5 + j.
x**3*(5*x - 2)*(7*x + 2)/9
Let j(f) be the third derivative of -f**7/4200 - f**6/1200 + f**4/24 + 2*f**2. Let x(h) be the second derivative of j(h). Factor x(y).
-3*y*(y + 1)/5
Suppose 8 = 2*n - 2. Suppose 2*a + n = -5*w - 1, 15 = -4*w - 5*a. What is d in 0*d + 2/5*d**3 + w - 2/5*d**2 = 0?
0, 1
Let y(s) = s**2 - 4*s + s + 2*s + 2*s. Let i be y(1). Factor 4/3*j + 0*j**i - 4/3*j**3 - 2/3 + 2/3*j**4.
2*(j - 1)**3*(j + 1)/3
Suppose 4*t + 4*p = 1 - 9, -3*t - 5*p = 10. Let l(g) be the third derivative of -1/9*g**3 - 1/60*g**5 + t + 5/72*g**4 + 0*g - g**2. Factor l(w).
-(w - 1)*(3*w - 2)/3
Let n(p) be the third derivative of 0 + 0*p**6 - 1/105*p**7 + 0*p**5 - 1/336*p**8 - 3*p**2 + 0*p**3 + 0*p**4 + 0*p. Factor n(b).
-b**4*(b + 2)
Find i such that -3*i**2 - 14*i + 7*i**2 - 2*i - 7 + 19 = 0.
1, 3
Find c, given that 51*c**4 + 2*c**3 - 24*c**4 - 25*c**4 = 0.
-1, 0
Suppose -3*q + 0*q + 33 = 0. Find p, given that -2*p - 16*p**3 + 6*p**4 + q*p**2 + 5*p**4 - 4*p**4 = 0.
0, 2/7, 1
Let w(z) be the second derivative of z**6/90 + 4*z**5/45 + z**4/6 - 9*z**2/2 - 8*z. Let m(h) be the first derivative of w(h). Factor m(y).
4*y*(y + 1)*(y + 3)/3
Let i(x) = -4*x**2 + 2*x - 6. Let d(y) = y**3 + 9*y**2 - 3*y + 11. Let j be (-44)/6*(-15)/10. Let w(b) = j*i(b) + 6*d(b). Let w(m) = 0. What is m?
-1, -2/3, 0
Let n(x) = -x + 13. Let t be n(10). Solve -2*q**2 - 6*q + 6*q**t - 2*q**4 + 0*q**4 - 4 + 8 = 0.
-1, 1, 2
Let z be 12/5 - (-12)/20. Factor -3*c**5 + 5 - 5 + 2*c**5 + c**z.
-c**3*(c - 1)*(c + 1)
Let n(b) be the second derivative of b**4/6 + 8*b**3/3 + 16*b**2 + 7*b. Factor n(r).
2*(r + 4)**2
Determine g, given that 5*g**4 - 10 + 9*g - 5*g**3 + 132*g**2 + 5*g - 147*g**2 + 11*g = 0.
-2, 1
Let -465 + i**4 + i**2 + 2*i**3 + 465 = 0. What is i?
-1, 0
Let c(f) be the first derivative of -f**8/3360 + f**7/840 + f**6/720 - f**5/120 + 2*f**3 - 2. Let a(g) be the third derivative of c(g). Factor a(d).
-d*(d - 2)*(d - 1)*(d + 1)/2
Let o(j) = -7*j**4 - j**3 - j**2 + j. Let u(b) = -6*b**4. Let k(h) = -3*o(h) + 4*u(h). Determine i, given that k(i) = 0.
-1, 0, 1
Let u(s) be the first derivative of -s**4/20 - 2*s**3/5 - 6*s**2/5 - s - 5. Let j(l) be the first derivative of u(l). Find x such that j(x) = 0.
-2
Let x(r) = -2*r**3 - 2*r**2 + 2*r + 2. Let n be x(-2). Suppose 2*k - n = 3*k + 2*w, -4*k - 6 = 2*w. Suppose k*i**2 - 2*i**2 - 3*i + i = 0. Calculate i.
-1, 0
Let v(w) be the first derivative of -w**6/135 + w**4/54 - 4*w - 3. Let r(y) be the first derivative of v(y). Factor r(u).
-2*u**2*(u - 1)*(u + 1)/9
Let y(k) be the third derivative of k**9/1008 + 3*k**8/560 + 3*k**7/280 + k**6/120 - 2*k**3/3 + k**2. Let c(t) be the first derivative of y(t). Factor c(g).
3*g**2*(g + 1)**3
Let l(n) = -n**3 + 2*n**2 - 1. Let a be l(-1). Let 0*f - f - 2*f**3 - 4*f**a - f = 0. What is f?
-1, 0
Let s be (-1 - 2)/((-9)/21). Let j be 0/s*1/2. Factor 2/3*g**4 - 2/3*g**3 + 0*g**2 + 0*g + j.
2*g**3*(g - 1)/3
Let p be 8/(-28) - 46/(-14). Factor c + 2*c**2 + 2 - 2*c**3 - p - c**4 + 0 + c**5.
(c - 1)**3*(c + 1)**2
Let x be 9/(-21) - (155/56)/(-5). Let z(u) be the third derivative of 3*u**2 + 0*u**3 + 1/20*u**5 - x*u**4 + 0*u + 0. Let z(p) = 0. Calculate p.
0, 1
Solve -12*d**2 + 12*d**3 + 8 - 8 + 4*d + 20*d**4 - 16*d**5 - 8*d**2 = 0.
-1, 0, 1/4, 1
Factor -10*y - 23*y**2 + 45*y**2 - 27*y**2.
-5*y*(y + 2)
Let p(t) be the third derivative of 0 + 0*t - 1/20*t**5 - 2*t**2 + 1/2*t**3 + 0*t**4. Determine v, given that p(v) = 0.
-1, 1
Factor -3/5*v**2 + 21/5*v - 21/5*v**3 + 3/5.
-3*(v - 1)*(v + 1)*(7*v + 1)/5
Factor 4/9*u**3 + 0*u**2 - 4/9*u + 2/9 - 2/9*u**4.
-2*(u - 1)**3*(u + 1)/9
Factor -1/4*v**2 + 1/4 - 1/4*v + 1/4*v**3.
(v - 1)**2*(v + 1)/4
Let z(k) = k. Let q(r) = 4*r**2 + 29*r + 36. Let c(i) = -q(i) + 5*z(i). Let c(u) = 0. Calculate u.
-3
Let o(x) be the second derivative of -3*x + 0 + 0*x**2 + 0*x**3 + 1/60*x**5 + 0*x**6 + 0*x**4 - 1/126*x**7. What is w in o(w) = 0?
-1, 0, 1
Suppose 2*g - 3 = 5. Let y be 20/6 - (-4)/(-12). Determine h so that -5*h**y - 2 + g*h**3 + 3*h**2 + 2*h**3 - 2 = 0.
-2, 1
Let r(u) be the first derivative of 1 - 3/10*u**5 + u**2 - 1/2*u**4 - 1/3*u**3 + 0*u. Let i(m) be the second derivative of r(m). Suppose i(v) = 0. Calculate v.
-1/3
Let j(t) be the second derivative of 0*t**2 + 3*t + 0*t**3 + 0*t**4 + 1/35*t**5 + 0. Factor j(l).
4*l**3/7
Suppose -o + 8 = -2. Suppose 17*x = 12*x + o. Find z such that 0 + 0*z - 1/3*z**x = 0.
0
Let c be ((-4)/10)/((-1)/5). Suppose 5 + s**2 + 0*s**c + 2*s - 1 - 3 = 0. Calculate s.
-1
What is i in -26*i**3 + 169 + 12*i**4 - 8*i - 169 - 2*i**5 + 24*i**2 = 0?
0, 1, 2
Let y = -13/4 - -15/4. Factor 1/2 - b + y*b**2.
(b - 1)**2/2
Let i(g) = 6*g. Let a be i(1). Factor -a*d + 7*d**2 - d**2 - 3*d - 3*d**2.
3*d*(d - 3)
Let l(w) be the second derivative of w**9/15120 + w**8/3360 - w**6/360 - w**5/120 - w**4/4 - 2*w. Let p(v) be the third derivative of l(v). Factor p(m).
(m - 1)*(m + 1)**3
Let y = -21 - -24. Let p(f) be the second derivative of 0 + 1/21*f**7 - 2*f**2 - f - 2/15*f**6 - 1/5*f**5 + 1/3*f**y + 2/3*f**4. Find i, given that p(i) = 0.
-1, 1, 2
Suppose 7 + 3 = 5*o. Factor 3*t**o + t**3 - 5*t**2 + t + 