t -60/7*q**4 + 60/7*q**2 + 0 - 9*q**3 + 75/7*q**x - 12/7*q = 0.
-1, 0, 2/5, 1
Let y(c) be the third derivative of c**5/12 - 13*c**2 + 2*c. Find v such that y(v) = 0.
0
Let j(s) be the first derivative of s**5/80 + s**4/24 + s**3/24 + 2*s - 2. Let y(c) be the first derivative of j(c). Factor y(p).
p*(p + 1)**2/4
Let k(i) be the second derivative of -5*i**7/294 - i**6/105 + i**5/28 + i**4/42 - 15*i. Solve k(r) = 0 for r.
-1, -2/5, 0, 1
Let a = 706/5 - 141. Let 0*c + 0 + a*c**2 + 1/5*c**3 = 0. Calculate c.
-1, 0
Let h(r) be the third derivative of r**5/450 - r**4/90 + r**3/45 + 24*r**2. Suppose h(z) = 0. Calculate z.
1
Let h(s) be the first derivative of 6 + 2/15*s**3 + 0*s - 1/5*s**2. Suppose h(r) = 0. What is r?
0, 1
Let w = -449/91 + 34/7. Let r = w - -31/65. Factor 0*g + 0 - 1/5*g**4 - 1/5*g**2 + r*g**3.
-g**2*(g - 1)**2/5
Let q(w) be the third derivative of w**9/105840 - w**8/23520 + w**7/17640 - w**4/24 - 2*w**2. Let v(a) be the second derivative of q(a). Factor v(k).
k**2*(k - 1)**2/7
Let w(h) be the first derivative of h**8/112 - h**7/56 + h**6/160 + h**2/2 - 2. Let u(j) be the second derivative of w(j). Factor u(q).
3*q**3*(q - 1)*(4*q - 1)/4
Let i(g) be the third derivative of -1/30*g**5 - g**2 - 1/120*g**6 + 0*g**3 + 0 + 0*g + 0*g**4. Suppose i(p) = 0. Calculate p.
-2, 0
Let c(j) = -j**5 - j**4 - j**2 - j. Let a(m) = 17*m**5 - 71*m**4 + 104*m**3 + 35*m**2 - 125*m + 32. Let k(h) = 2*a(h) + 6*c(h). Let k(y) = 0. Calculate y.
-1, 2/7, 2
Let m(s) be the third derivative of s**5/510 - s**4/51 + 4*s**3/51 - 18*s**2. Factor m(g).
2*(g - 2)**2/17
Let r(s) be the second derivative of 1/30*s**3 + 2*s + 1/20*s**4 + 0*s**2 + 1/50*s**5 + 0. What is o in r(o) = 0?
-1, -1/2, 0
Suppose 2*j - 7*j = 0. Suppose -4*k + 0*k + 16 = j. Solve -1/4*w**3 - 1/4*w**k + 0 + 0*w + 1/4*w**2 + 1/4*w**5 = 0 for w.
-1, 0, 1
Let h(a) be the second derivative of -3*a + 0 - 1/70*a**5 + 2/7*a**2 + 2/21*a**4 - 5/21*a**3. Suppose h(m) = 0. What is m?
1, 2
Let g(b) be the second derivative of -b**8/5040 + b**7/3780 - b**4/12 - 2*b. Let j(i) be the third derivative of g(i). Factor j(w).
-2*w**2*(2*w - 1)/3
Let a(d) be the third derivative of -d**6/8 + 7*d**5/20 + d**4 - 2*d**3 + 5*d**2. Factor a(y).
-3*(y - 2)*(y + 1)*(5*y - 2)
Let x be (2 - (-45)/(-10))*(-16)/10. Let l(p) be the second derivative of -1/30*p**x + 0 - 1/15*p**3 + 2/5*p**2 + 3*p. Let l(v) = 0. What is v?
-2, 1
Let u be (-1*(-22)/8)/(1/2). Suppose 0 + 2*s + 3*s**4 - 2*s**2 - u*s**3 + 9/2*s**5 = 0. What is s?
-1, 0, 2/3
Suppose 0 = -4*h + 8. Let t(f) = -6*f. Let y(n) be the second derivative of n**4/12 - n**3/6 + n**2/2 + 2*n. Let a(i) = h*y(i) - t(i). Factor a(m).
2*(m + 1)**2
Let k(m) be the first derivative of -3*m**5/10 - m**4 - m**3 + m/2 + 2. Factor k(n).
-(n + 1)**3*(3*n - 1)/2
Let k(n) be the third derivative of n**6/24 + n**5/4 + 5*n**4/8 + 5*n**3/6 + 3*n**2 - 5. Factor k(b).
5*(b + 1)**3
Let -v**3 + 4 + v**2 + 4*v - 5 - 3*v = 0. Calculate v.
-1, 1
Let j(g) = -g**4 + g**3 + g - 2. Let w(i) = 15*i**4 + 9*i**3 - 78*i**2 + 18*i + 12. Let x(a) = -6*j(a) - w(a). Factor x(t).
-3*t*(t - 2)*(t + 4)*(3*t - 1)
Suppose 0 = -k - 2*k + 18. What is c in 2*c**3 - k*c - 2 - 8 + 6 = 0?
-1, 2
Let 2/9 + 2/9*t**3 + 2/3*t + 2/3*t**2 = 0. What is t?
-1
Let w(o) be the third derivative of -o**7/14 + o**6/24 + o**5/4 - 5*o**4/24 + 3*o**2. Find j such that w(j) = 0.
-1, 0, 1/3, 1
Let c(i) be the second derivative of 0 - i**2 - 8/5*i**5 - 5/2*i**4 - 1/14*i**7 - i - 13/6*i**3 - 8/15*i**6. Solve c(y) = 0.
-2, -1, -1/3
Solve -10/3*i**3 + 2/3*i + 0 + 8/3*i**5 + 2*i**2 - 2*i**4 = 0 for i.
-1, -1/4, 0, 1
Let p(y) = -y + 6. Let n be p(4). Find t, given that -n + 19*t**3 - t - 16*t**3 + t**4 - 2*t + t**2 = 0.
-2, -1, 1
Let k = 81/82 - 20/41. Factor k*z**2 + z + 1/2.
(z + 1)**2/2
Let j(x) be the third derivative of x**6/40 - x**5/10 - x**4/8 + x**3 + 5*x**2. Factor j(u).
3*(u - 2)*(u - 1)*(u + 1)
Determine f so that 0*f**2 + f**3 - 1/2*f**5 + 0 + 0*f - 1/2*f**4 = 0.
-2, 0, 1
Let k(m) be the first derivative of -m**6/42 + m**4/7 - 2*m**3/21 - 3*m**2/14 + 2*m/7 - 36. Factor k(b).
-(b - 1)**3*(b + 1)*(b + 2)/7
Let d be (3 + 7/((-14)/6))/2. Let -7/4*b**5 + d + 1/2*b**4 + 0*b**3 + 0*b + 0*b**2 = 0. Calculate b.
0, 2/7
Let p(n) = -2*n - 4. Let b be p(-2). Suppose -3*r = -b*r - 9. Suppose a**2 + 2/5*a - 3/5*a**5 + 1/5*a**r - a**4 + 0 = 0. What is a?
-1, -2/3, 0, 1
Let b(w) = w**2 + 2*w - 22. Let z be b(-6). Let k(v) be the second derivative of -1/4*v**z + 1/24*v**4 + 0 - 3*v + 0*v**3. Determine l so that k(l) = 0.
-1, 1
Let g(r) = 85*r**4 + 320*r**3 - 5*r + 5. Let y(c) = -c**5 + 86*c**4 + 320*c**3 - 6*c + 6. Let z(x) = -6*g(x) + 5*y(x). Let z(q) = 0. What is q?
-8, 0
Let h(f) be the second derivative of 1/6*f**2 + 2*f - 1/72*f**4 + 0 - 1/36*f**3. Suppose h(x) = 0. Calculate x.
-2, 1
Factor 29*s**2 - s**3 - 45*s + 19*s**2 - 4*s**3 + 20 - 18*s**2.
-5*(s - 4)*(s - 1)**2
What is q in -1/3 + 3*q**2 + 0*q = 0?
-1/3, 1/3
Let v(b) be the second derivative of -b**6/6 + 3*b**5/4 + 25*b**4/12 - 5*b**3/2 - 10*b**2 - 16*b. Factor v(n).
-5*(n - 4)*(n - 1)*(n + 1)**2
Let p(x) be the second derivative of -x**4/21 - 4*x**3/21 - 2*x**2/7 + 11*x. Factor p(a).
-4*(a + 1)**2/7
Let f(p) be the first derivative of p**4/22 - 26*p**3/33 - 29*p**2/11 - 30*p/11 - 17. Factor f(j).
2*(j - 15)*(j + 1)**2/11
Suppose -3*q + 5*i + 5 = 0, 6 = -2*q - 3*i + 3. Factor -z + 6*z**4 + z - 2*z**2 + 4*z**3 + q*z**3.
2*z**2*(z + 1)*(3*z - 1)
Let p(c) be the second derivative of -c**6/180 + c**5/60 + c**4/6 - 2*c**3/3 + c. Let r(g) be the second derivative of p(g). Determine n, given that r(n) = 0.
-1, 2
Let v be (-96)/(-15)*(-1)/(-10). Let q = v - -593/50. Solve -2 - 7/2*d**4 + 1/2*d**5 + 19/2*d**3 - q*d**2 + 8*d = 0 for d.
1, 2
Let z(g) be the first derivative of -2 + 0*g**5 + 1/10*g**4 - 1/10*g**2 + 0*g - 1/30*g**6 + 0*g**3. Let z(u) = 0. What is u?
-1, 0, 1
Suppose 2*v - 10 = -4. Suppose -4*l = -4*a + v*a + 4, 5*a - 20 = -2*l. Determine w so that 0*w - w**3 - w**4 + l - 1/3*w**2 - 1/3*w**5 = 0.
-1, 0
Let v(c) be the third derivative of -c**7/70 - 7*c**6/40 - 9*c**5/10 - 5*c**4/2 - 4*c**3 - 6*c**2. What is m in v(m) = 0?
-2, -1
Let o = -7 - -6. Let d(p) = 2*p**5 - 4*p**4 + 8*p**3 + 6*p**2 - 6*p. Let l(x) = x**3 + x**2 - x. Let k(t) = o*d(t) + 6*l(t). Factor k(f).
-2*f**3*(f - 1)**2
Factor 54*p + 1/6*p**4 + 19/6*p**3 + 21*p**2 + 36.
(p + 1)*(p + 6)**3/6
Suppose -7*x = -5*x + 2*k - 18, -5*x = k - 25. What is r in -1/2*r + 0*r**3 + 3/4*r**2 - 1/4*r**x + 0 = 0?
-2, 0, 1
Let u(n) = n**4 - n**2 + n + 1. Let x(z) = -12*z**4 - 18*z**3 - 6*z**2 + 2*z + 2. Let r(q) = 2*u(q) - x(q). What is y in r(y) = 0?
-1, -2/7, 0
Let o(n) be the first derivative of 0*n + 0*n**4 - 8 + 0*n**2 + 2/65*n**5 - 2/39*n**3. Factor o(c).
2*c**2*(c - 1)*(c + 1)/13
Let r(w) be the second derivative of 4/3*w**3 + 1/6*w**4 + 4*w**2 + 0 - 2*w. Factor r(q).
2*(q + 2)**2
Let m be -94 + 97 + 2/(2/(-3)). Factor m*x - 2/3*x**2 - 2/3*x**4 + 0 + 4/3*x**3.
-2*x**2*(x - 1)**2/3
Suppose 0 = -3*b - 0*b + 3. Suppose 3*a - b = 3*u - 7, a + 2*u = 10. Suppose -2/3*s**a + 0 + 0*s**3 + 2/3*s**4 + 0*s = 0. What is s?
-1, 0, 1
Let u(g) be the second derivative of 1/6*g**4 + 1/3*g**3 - 2*g**2 + g + 0. Factor u(j).
2*(j - 1)*(j + 2)
Let j(a) = -a**2 + 7*a - 8. Let p be j(5). Factor 1/5*i**p + 0 + 1/5*i.
i*(i + 1)/5
Let o be 1/(-4)*(-240)/40. Factor -19/2*q**3 - 4 - 18*q - o*q**4 - 21*q**2.
-(q + 2)**3*(3*q + 1)/2
Let q(z) be the second derivative of z**5/10 - z**4/3 + z**3/3 - 4*z. Determine c so that q(c) = 0.
0, 1
Suppose 0 = -4*i - 0*i - 4. Let j be 56/24 + i/1. Let 2/3*v**4 - 4*v**3 + 2*v - j*v**2 + 2*v**5 + 2/3 = 0. What is v?
-1, -1/3, 1
Factor -5*t**2 - 5*t**2 + t**2 + 6*t**2 - 15 + 18*t.
-3*(t - 5)*(t - 1)
Let y(z) be the first derivative of -2*z**5/5 + z**4/2 + 7. Factor y(j).
-2*j**3*(j - 1)
Let w(p) = -6*p**3 - 10*p**2 - 4*p + 8. Let d(t) = -6*t**3 - 11*t**2 - 3*t + 8. Let o(g) = 4*d(g) - 3*w(g). Factor o(c).
-2*(c + 1)*(c + 2)*(3*c - 2)
Let p(w) be the second derivative of -w**6/120 - w**5/20 + 3*w**4/8 - w**3/3 - 3*w. Let a(g) be the second derivative of p(g). Factor a(b).
-3*(b - 1)*(b + 3)
Let g = 1109/9 - 123. Suppose -2/9 - g*r**3 + 2/9*r + 2/9*r**2 = 0. Calculate r.
-1, 1
Let v(n) be the third derivative of -n**7/105 + 7*n