 be (6/p)/(15/(-40)). Let -1/3*j**3 - 2/3*j + 0 - j**a = 0. Calculate j.
-2, -1, 0
What is u in -56/5*u**4 - 8/5*u**3 + 34/5*u + 52/5*u**2 - 26/5*u**5 + 4/5 = 0?
-1, -2/13, 1
Let u = 163/24 - 49/8. Factor 2/3 - u*r - 2/3*r**2 + 2/3*r**3.
2*(r - 1)**2*(r + 1)/3
Let w(i) be the second derivative of 0 - 1/18*i**4 + 0*i**2 + 0*i**3 - 1/45*i**6 - 2*i + 1/15*i**5. What is j in w(j) = 0?
0, 1
Let f(x) be the first derivative of 2*x**6/15 + 2*x**5/25 + 1. Factor f(q).
2*q**4*(2*q + 1)/5
Let b(m) be the second derivative of -3*m**5/40 + 5*m**4/8 + m**3/4 - 15*m**2/4 + 5*m + 5. What is o in b(o) = 0?
-1, 1, 5
Let 0 + 4*w**2 - 17/4*w**3 + 5/4*w**4 - w = 0. Calculate w.
0, 2/5, 1, 2
Suppose 0 = -5*h + h + 8. Let q be -2 - -4 - (2 - 3). Solve -b**4 - b**2 + q + b - 4 - 2*b**3 + b**5 + 3*b**h = 0.
-1, 1
Let i(j) be the second derivative of -3/5*j**5 + 1/3*j**3 + 7/30*j**6 + 1/4*j**4 + 0*j**2 - 3*j + 0. Factor i(p).
p*(p - 1)**2*(7*p + 2)
Let w(g) be the first derivative of -2*g**3/3 + 5*g**2 - 8*g - 4. Suppose w(m) = 0. Calculate m.
1, 4
Suppose -2*x = 2*x + 4. Let v be (5/(-12))/(x/4). Suppose -v*h**5 - 3*h**3 + 4*h**4 + 2/3*h**2 + 0*h + 0 = 0. What is h?
0, 2/5, 1
Factor -2*x - 2*x**2 + 30 + 4*x**2 - 42.
2*(x - 3)*(x + 2)
Let 4*c**2 + 12*c**2 + 3 + 1 - 3*c - 17*c = 0. What is c?
1/4, 1
Let v(z) = -z**3 - 7*z**2 + 7*z - 6. Let b be v(-8). Factor 1/2 - h + 1/2*h**b.
(h - 1)**2/2
Let z(j) be the third derivative of -j**10/15120 - j**9/7560 + j**8/3360 + j**7/1260 - j**4/8 + 2*j**2. Let o(h) be the second derivative of z(h). Factor o(l).
-2*l**2*(l - 1)*(l + 1)**2
Let q(l) = l**3 - l - 1. Let o(m) = -20*m**3 - 16*m**2 + 44*m + 16. Let k(b) = o(b) + 24*q(b). Factor k(i).
4*(i - 2)*(i - 1)**2
Let y be 22/(-55)*(-6 - -1). Find d, given that 2/3 - y*d + 2*d**2 - 2/3*d**3 = 0.
1
Let r(g) be the first derivative of -3*g**4/2 - 11*g**3/3 - 2*g**2 - 3*g - 2. Let l(y) be the first derivative of r(y). Factor l(w).
-2*(w + 1)*(9*w + 2)
Let i = -43 + 43. Factor i + 2/3*a**2 + 0*a.
2*a**2/3
Let z(x) = -22*x**3 + 70*x**2 - 47*x + 11. Let i(p) = -p**3 + p - 1. Suppose 0 = 2*y + 2*y + 12. Let l(q) = y*i(q) - z(q). Factor l(r).
(r - 2)*(5*r - 2)**2
Let n = 0 + 3. Factor -5*q**2 + q**4 - 4*q**n + 5*q**2 + 3*q**3.
q**3*(q - 1)
Let x(u) be the third derivative of u**8/1120 + u**7/560 - u**6/240 - u**5/80 + u**3 - 7*u**2. Let w(m) be the first derivative of x(m). Factor w(k).
3*k*(k - 1)*(k + 1)**2/2
Let x(j) = -3*j**4 - 3*j**3 + 3*j + 6. Let u(s) = 3*s**4 + 4*s**3 - 4*s - 5. Let q(p) = 3*u(p) + 2*x(p). Factor q(l).
3*(l - 1)*(l + 1)**3
Suppose b = -4*b + 15. Factor 4*i**2 - 2*i**2 + i**b + 0*i**3 + i**3.
2*i**2*(i + 1)
What is u in -1/3*u**2 + 4/3 - u = 0?
-4, 1
Let p(g) be the third derivative of -3*g**5/40 + g**4/24 - 7*g**2. Let p(n) = 0. What is n?
0, 2/9
Let t(z) be the first derivative of -7 + 2/21*z**3 + 0*z - 1/7*z**2. Solve t(n) = 0 for n.
0, 1
Let i = 11 - 10. Let c(d) = 3*d**2 - 1. Let b be c(i). Factor -4*q**3 - 9*q**b - 2*q**3 + 4*q**3 + 7*q**2 + 2*q + 2.
-2*(q - 1)*(q + 1)**2
Suppose 19*p = 28 + 10. Factor -4/5 + 52/5*u - 169/5*u**p.
-(13*u - 2)**2/5
Let t(u) be the first derivative of -u**5/20 - u**4/8 + 7*u**3/12 - u**2/2 + 12. Determine n so that t(n) = 0.
-4, 0, 1
Let g be 1 - -2*2/(-8). Let v be (51/(-68))/(-3*(-1)/(-2)). Suppose v + 1/2*z - g*z**2 - 1/2*z**3 = 0. Calculate z.
-1, 1
Let z(r) = -6*r**5 + 6*r**4 - 6*r**3. Let o(n) = -2*n**4 + 0*n**5 + 5*n**3 + n**2 - 2*n**4 + 7*n**5 - n**4. Let f(v) = -3*o(v) - 4*z(v). Solve f(i) = 0.
0, 1
Let c(q) = 3*q**3 + q**2. Let g(n) = -10*n**3 - 2*n**2 + n. Let t(z) = -21*c(z) - 6*g(z). Factor t(p).
-3*p*(p + 1)*(p + 2)
Let o(s) be the second derivative of -2/75*s**6 + 1/105*s**7 + 0*s**3 + 2*s + 1/15*s**4 + 0 - 1/50*s**5 + 0*s**2. Suppose o(u) = 0. Calculate u.
-1, 0, 1, 2
Let w = -2/3595 - -19417/7190. Let k(i) be the second derivative of -20/3*i**3 + 0 - 6*i**4 - 4*i**2 + 2*i - 9/20*i**6 - w*i**5. Let k(n) = 0. Calculate n.
-2, -2/3
Let i(c) = -9*c**5 + 17*c**4 - 4*c**3 - 4*c**2 - 13*c. Let q(m) = 4*m**5 - 8*m**4 + 2*m**3 + 2*m**2 + 6*m. Let b(l) = -6*i(l) - 13*q(l). Solve b(f) = 0.
-1, 0, 1
Factor -5*v**3 + 48*v**2 - 27*v**2 - 48*v + 2*v**3 + 36.
-3*(v - 3)*(v - 2)**2
Let p(h) be the second derivative of 3*h**5/160 + 7*h**4/32 + 15*h**3/16 + 27*h**2/16 + 6*h. Factor p(y).
3*(y + 1)*(y + 3)**2/8
Let f(z) be the first derivative of -29*z**4 + 40/3*z**3 + 6 - 84/5*z**5 + 32*z + 72*z**2 - 8/3*z**6. Find v such that f(v) = 0.
-2, -1/4, 1
Let 9 + 6*p**3 - 11*p**3 - 20*p**5 + 35*p**2 - 40*p**4 - 4 + 25*p = 0. Calculate p.
-1, -1/2, 1
Let z = 16/11 + -133/99. Let n(i) be the first derivative of 1/15*i**5 - z*i**3 - 2 - 1/6*i**2 + 0*i + 1/12*i**4. Find f such that n(f) = 0.
-1, 0, 1
Let r(b) be the first derivative of -5*b**6/6 - 2*b**5 + 10*b**3/3 + 5*b**2/2 + 16. Factor r(m).
-5*m*(m - 1)*(m + 1)**3
Let w(r) = r**2 + 5*r - 4. Let p be w(-6). Factor 4*n + p*n**4 - 4*n - 3*n**4 - 2*n**3 - n**2.
-n**2*(n + 1)**2
Let w(j) be the second derivative of j**4/48 + 2*j. Factor w(t).
t**2/4
Suppose -3*m = 13 - 25. Find q such that -22/3*q**3 - 4/3 + 26/3*q**2 + 10/3*q - 62/3*q**m - 28/3*q**5 = 0.
-1, 2/7, 1/2
Let o(h) be the third derivative of h**6/1620 - h**5/540 - h**3/3 + h**2. Let z(y) be the first derivative of o(y). What is v in z(v) = 0?
0, 1
Suppose 11*p - 10 = 6*p. Determine z, given that 6*z**2 + p*z**4 + 3*z - 2 - 7*z**3 - z + 2*z - 3*z = 0.
-1/2, 1, 2
Let f = -21 + 25. Factor 0 - 2/5*i**f + 0*i + 2/5*i**2 - 2/5*i**5 + 2/5*i**3.
-2*i**2*(i - 1)*(i + 1)**2/5
Let 40/9*c + 16/9 + 4*c**2 + 14/9*c**3 + 2/9*c**4 = 0. What is c?
-2, -1
Let j = -15 + 23. Let k = 12 - j. Suppose 0*h**3 + 0 - h**k + 1/2*h**5 - 1/2*h + h**2 = 0. Calculate h.
-1, 0, 1
Let b(v) = -78*v**5 + 87*v**4 + 108*v**3 + 21*v**2 - 3. Let h(a) = 77*a**5 - 88*a**4 - 108*a**3 - 22*a**2 + 2. Let u(x) = 2*b(x) + 3*h(x). Factor u(r).
3*r**2*(r - 2)*(5*r + 2)**2
Let n(d) be the third derivative of -d**5/390 + d**4/52 - 2*d**3/39 + 19*d**2. Factor n(h).
-2*(h - 2)*(h - 1)/13
Let d(x) be the second derivative of -1/5*x**5 + 6*x + 0 - 1/6*x**4 - 1/42*x**7 - x**2 + 5/6*x**3 + 2/15*x**6. Suppose d(a) = 0. What is a?
-1, 1, 2
Let m(x) be the third derivative of -x**5/270 + 5*x**4/108 - 4*x**3/27 - 6*x**2. Let m(o) = 0. What is o?
1, 4
Let g(y) be the first derivative of -2*y**3/3 - 3*y**2 - 4*y + 4. Determine q so that g(q) = 0.
-2, -1
Let a(d) be the second derivative of d**6/160 - d**5/80 + d**4/96 + d**3/3 + 3*d. Let b(o) be the second derivative of a(o). Let b(z) = 0. What is z?
1/3
Let s(x) = x**2 + 8*x + 7. Let o be s(-7). Factor -v + o + 3/2*v**2 - 1/2*v**3.
-v*(v - 2)*(v - 1)/2
Let s(r) = r**3 + 4*r**2 - 4*r + 4. Let w be s(-4). Suppose -b + w = 4. Determine v so that -14*v**2 - 9 - 9*v**4 + 0*v**5 - b*v**3 + 8 - 6*v - 2*v**5 = 0.
-1, -1/2
Suppose -4/5*c**2 + 2/5*c**4 - 1/5*c**5 + 2/5 + 2/5*c**3 - 1/5*c = 0. Calculate c.
-1, 1, 2
Let n(i) be the third derivative of i**6/30 - 4*i**5/15 + 47*i**2. Factor n(v).
4*v**2*(v - 4)
Let f = 3 - -18. Let u be (-34)/(-10) + f/35. Let -2/9*y**3 - 2/9*y**u + 2/9*y**2 + 0 + 2/9*y = 0. Calculate y.
-1, 0, 1
Let c = 7/80 + 5/16. Let 2/5*m**2 + 0 - c*m**4 + 2/5*m**5 - 2/5*m**3 + 0*m = 0. Calculate m.
-1, 0, 1
Let q(v) be the first derivative of 3*v**4/7 - 11*v**3/7 + 15*v**2/14 + 6*v/7 - 16. Factor q(p).
3*(p - 2)*(p - 1)*(4*p + 1)/7
Let a(f) be the second derivative of -f**5/100 - 3*f**4/20 - f**3/2 + 5*f**2/2 + 2*f + 5. Factor a(w).
-(w - 1)*(w + 5)**2/5
Suppose -2*g - 3 = -27. Suppose 2*h = -3*p + 7, -2*h = -p + 1 - g. Factor -2/9*d**h - 4/9*d**2 + 4/9*d**4 + 0 + 0*d**3 + 2/9*d.
-2*d*(d - 1)**3*(d + 1)/9
Let c be 2/18 + (16 - 16). Let o(f) be the third derivative of 0*f - 2/45*f**6 + c*f**3 + 0 + 2*f**2 - 1/6*f**4 + 2/15*f**5. Factor o(h).
-2*(2*h - 1)**3/3
Let x(j) be the second derivative of -j**5/60 + j**4/18 + 18*j. Let x(a) = 0. What is a?
0, 2
Let p(q) = -2*q**4 + 3*q**3 - 4*q**2 + q - 1. Let g(v) be the third derivative of -v**7/210 - v**5/60 - v**3/6 - v**2. Let j(b) = -g(b) + p(b). Factor j(w).
-w*(w - 1)**3
Let x(o) be the first derivative of 0*o + 1/120*o**5 - 1 + 1/720*o**6 + 0*o**2 + 1/3*o**3 + 0*o**4. Let f(z) be the third derivative of x(z). Factor f(q).
q*(q + 2)/2
Let b(o) be the third derivative of 0*o - 1/3*