 d(r) = 0 for r.
-2, -1
Suppose 2*i - i = 5*n - 21, -n = 2*i - 2. Let v = -4 - -8. Solve -4*c**5 - v*c**2 + 6*c**3 + 2*c**4 + c + 2 - n*c + c**5 = 0.
-1, 2/3, 1
Let c(w) be the first derivative of w**6/15 - 2*w**5/25 - w**4/5 + 4*w**3/15 + w**2/5 - 2*w/5 + 4. Find s, given that c(s) = 0.
-1, 1
Let k(h) be the third derivative of -h**8/336 + 2*h**7/105 - h**6/24 + h**5/30 - 8*h**2. Determine p, given that k(p) = 0.
0, 1, 2
Let r(x) be the first derivative of 4*x**5/5 - x**4 - 16*x**3/3 + 8*x**2 - 6. Solve r(b) = 0.
-2, 0, 1, 2
Let z(q) be the second derivative of -q**4/12 + q**3/6 + 16*q. Let z(u) = 0. Calculate u.
0, 1
Let k = 390 + -387. Factor -1/4*p**k + 1/4*p + 0 + 1/4*p**4 - 1/4*p**2.
p*(p - 1)**2*(p + 1)/4
Let j(r) be the third derivative of -r**7/140 + 3*r**5/20 - r**4/2 + 3*r**3/4 + 6*r**2. Let j(x) = 0. What is x?
-3, 1
Let h(b) = 18*b**2 + 42*b + 12. Let z(m) = 9*m**2 + 21*m + 6. Let t(y) = 6*h(y) - 11*z(y). Suppose t(r) = 0. What is r?
-2, -1/3
Let o(j) be the first derivative of 0*j + 0*j**3 + 4 + 1/4*j**4 + 0*j**2 - 1/5*j**5. Factor o(s).
-s**3*(s - 1)
Let o(g) be the third derivative of g**8/168 + g**7/105 - g**6/30 - g**5/15 + g**4/12 + g**3/3 - 10*g**2. Let o(z) = 0. What is z?
-1, 1
Let p be (3*(2 - 3))/(-1). Determine t, given that t**3 + 2*t + t**3 - p*t**3 - t = 0.
-1, 0, 1
Let d be 2/14*(-20)/(-2). Let c = -8 + 10. Factor c*n - 4/7 - d*n**2.
-2*(n - 1)*(5*n - 2)/7
Suppose -4/5 + 2*b - 8/5*b**2 + 2/5*b**3 = 0. Calculate b.
1, 2
Let w be 216/1188 - 95/(-22). Let 2 - w*y**2 - 8*y = 0. What is y?
-2, 2/9
Let r = 19/3 - 5. Let a be (-2 + -1)/(27/(-12)). Let -1/3*t**3 - a*t - r*t**2 + 0 = 0. What is t?
-2, 0
Let o(m) be the first derivative of -m**4/26 + 3*m**2/13 + 4*m/13 + 18. Factor o(h).
-2*(h - 2)*(h + 1)**2/13
Suppose 2*m + 22 = 4*a + 10, 0 = -3*m - a + 17. Suppose -2/5*r**5 + 0 + 6/5*r**m - 6/5*r**3 + 0*r + 2/5*r**2 = 0. What is r?
0, 1
Let z(p) be the second derivative of -p**3/6 + p**2/2 + 2*p. Let a be z(-2). Let -3*v**2 + 2*v**2 + 4*v**3 - 5*v**a = 0. What is v?
-1, 0
Let j be ((-2365)/(-150))/43 - 2/12. Determine k, given that j*k**4 - 2/5*k + 3/5 - 4/5*k**2 + 2/5*k**3 = 0.
-3, -1, 1
Let o(g) = g**3 + 5*g**2 - 7*g - 2. Let i be o(-6). Factor -2/9*c**i + 2/3*c**3 + 0*c + 0 - 4/9*c**2.
-2*c**2*(c - 2)*(c - 1)/9
Factor -6/17*g**4 + 2/17*g**5 + 0 + 4/17*g**3 + 0*g + 0*g**2.
2*g**3*(g - 2)*(g - 1)/17
Let y be 0 + -3 + (-2 - -3). Let l = y + 6. Factor 0*c**3 + 0*c + 4/3*c**2 - 2/3 - 2/3*c**l.
-2*(c - 1)**2*(c + 1)**2/3
Let w(t) be the second derivative of t**7/126 + t**6/90 - 28*t. Determine i so that w(i) = 0.
-1, 0
Let t = 0 - -2. Determine n so that 2*n**t + n**2 - 3 + 2 - 5 + 3*n = 0.
-2, 1
Let c(u) be the second derivative of u**8/112 - u**6/20 + u**4/8 - u**2/2 + 3*u. Let n(s) be the first derivative of c(s). Suppose n(g) = 0. Calculate g.
-1, 0, 1
Factor 4*x**3 + 12*x + 4 - 2 - 1 - 12*x**2 - 5.
4*(x - 1)**3
Let n(s) be the second derivative of 4*s**7/147 - s**5/10 + s**4/42 + s**3/7 - s**2/7 - 17*s. Find i, given that n(i) = 0.
-1, 1/2, 1
Factor 4/11*j**2 + 0*j**3 + 2/11*j**5 - 2/11*j - 4/11*j**4 + 0.
2*j*(j - 1)**3*(j + 1)/11
Suppose -4*k + 0*k = -4. Let q be (k/(-4))/((-2)/12). Factor -q*l - 3/2 + 6*l**4 - 33/2*l**3 + 27/2*l**2.
3*(l - 1)**3*(4*l + 1)/2
Let z(j) be the first derivative of -j**6/120 - j**5/20 + 3*j**4/8 + 5*j**3/3 + 5. Let y(r) be the third derivative of z(r). Factor y(k).
-3*(k - 1)*(k + 3)
Let p(z) be the second derivative of z**7/168 + z**6/60 - z**5/40 - z**4/6 - 7*z**3/24 - z**2/4 + 5*z. What is w in p(w) = 0?
-1, 2
Factor 1044 - 2*m**3 - 4*m**2 - 1044.
-2*m**2*(m + 2)
Let h(q) = -2*q**2 + 12*q. Let s(r) = -r**2 + 12*r. Let n(g) = -5*h(g) + 6*s(g). Solve n(p) = 0.
-3, 0
Let p = -662 - -2649/4. Factor -3/4*y - 1/2 - p*y**2.
-(y + 1)*(y + 2)/4
Factor 16/5*f - 4/5 + 9/5*f**2.
(f + 2)*(9*f - 2)/5
Let j(p) be the second derivative of -p**5/20 - p**4/6 - p**3/6 + 5*p. Factor j(y).
-y*(y + 1)**2
Let k(g) be the third derivative of g**5/12 + 5*g**4/24 - 14*g**2. Let k(l) = 0. What is l?
-1, 0
Suppose 0 = 3*o - 2*o + 5*j - 26, -2*o - 5*j = -27. Let i be (2/(-4)*o)/(-2). Factor -i*b + 0 - 1/4*b**2.
-b*(b + 1)/4
Suppose 8/9*r**3 - 8/9*r**5 - 16/9*r**2 + 4/9 + 0*r + 4/3*r**4 = 0. Calculate r.
-1, -1/2, 1
Let b(q) = -q**2 + q - 1. Let j(s) = 8*s**2 + 2*s - 27. Let d(m) = -3*b(m) - j(m). Factor d(i).
-5*(i - 2)*(i + 3)
Let x(j) = 10*j**5 + 16*j**4 + 2*j**3 - 8*j**2 - 4*j. Let b(p) = 10*p**5 + 16*p**4 + 2*p**3 - 7*p**2 - 3*p. Let v(m) = 4*b(m) - 3*x(m). Factor v(f).
2*f**2*(f + 1)**2*(5*f - 2)
Let i be ((-6)/(-9) - 0)*3. Let h be -4*(i - 15/6). Suppose -1 - 2 + 2*n + h - n**2 = 0. Calculate n.
1
What is z in 8/3*z**4 + 2*z**3 - 8/3*z + 2/3*z**5 + 0 - 8/3*z**2 = 0?
-2, -1, 0, 1
Let s(g) be the third derivative of -g**6/80 + g**5/20 - g**4/16 - 6*g**2. Factor s(r).
-3*r*(r - 1)**2/2
Let n = 2 - 0. Determine c so that 2*c + 2*c**n + 4*c**2 - 2*c**3 - 5*c - 3*c + 2 = 0.
1
Let y = -59 - -64. Let f(c) be the second derivative of 4/3*c**4 - 3*c + 0 + 3/2*c**3 + 1/5*c**6 + 1/42*c**7 + c**2 + 7/10*c**y. Factor f(v).
(v + 1)**4*(v + 2)
What is r in 2/9*r**2 + 1/9*r**3 + 0*r + 0 = 0?
-2, 0
Let t(d) be the first derivative of -d**4/2 + 8*d**3/3 + 3*d**2 - 36*d - 2. Factor t(f).
-2*(f - 3)**2*(f + 2)
Let v(n) = -n. Let t be v(0). Suppose 3*j + 31 = 7*j - 5*q, 5*q + 15 = t. Factor 2/9*u**2 - 2/9*u**j - 2/9*u + 2/9*u**3 + 0.
-2*u*(u - 1)**2*(u + 1)/9
Let q(p) be the first derivative of -1/12*p**4 - 2*p - 3/40*p**5 + 1/4*p**3 + 1/2*p**2 - 1. Let t(o) be the first derivative of q(o). Factor t(w).
-(w - 1)*(w + 1)*(3*w + 2)/2
Let r(y) be the third derivative of -y**7/42 + y**6/3 - 4*y**5/3 + 8*y**2. Factor r(p).
-5*p**2*(p - 4)**2
Let k(t) be the first derivative of -5*t**6/6 - 4*t**5 + 5*t**4/2 + 20*t**3 - 45*t**2/2 + 31. Factor k(n).
-5*n*(n - 1)**2*(n + 3)**2
Let m = 171 + -508/3. Determine p, given that 1/2 - p**3 - m*p + 1/6*p**4 + 2*p**2 = 0.
1, 3
Let d = 4 - 2. Factor -2*b**d + 4*b**2 - 2*b**3 + 2*b - 1 - 1.
-2*(b - 1)**2*(b + 1)
Suppose -3*d + 27 = -3*j, -3*j + 0*j = 15. Factor -g + 2*g - d*g**2 + 2 - 2*g + 4*g**3 - g**3.
(g - 1)**2*(3*g + 2)
Let m be 2/(-12) - 2508/72. Let n be (-21)/(-9)*(-5)/m. Factor 0*k - 1/3*k**3 + 0 - n*k**2.
-k**2*(k + 1)/3
Let m(x) = 7*x**3 + x**2 + x - 3. Let v(s) = -20*s**3 - 3*s**2 - 2*s + 8. Let u(l) = 17*m(l) + 6*v(l). What is c in u(c) = 0?
-3, 1
Let p = -17 - -27. Suppose -2*t + p = 3*t. Factor -2*f**2 + f**2 + f + 0*f**t.
-f*(f - 1)
Factor 16/7*y + 16/7 + 4/7*y**2.
4*(y + 2)**2/7
Let k(c) be the first derivative of 7*c**5/5 + 9*c**4/4 + 2*c**3/3 - 5. Factor k(n).
n**2*(n + 1)*(7*n + 2)
Let x(j) be the third derivative of -1/780*j**6 - 1/78*j**5 + 5*j**2 + 0 - 2/39*j**4 + 0*j - 4/39*j**3. Factor x(v).
-2*(v + 1)*(v + 2)**2/13
Let -u**4 + 4*u**5 - 8*u**2 - u**4 + 8*u**3 + 16*u**4 = 0. Calculate u.
-2, 0, 1/2
Let j(u) = -u**3 + 9*u**2 - 9*u + 11. Let m be j(8). Factor 0 + 0*l + 0*l**4 + 1/3*l**5 - 1/3*l**m + 0*l**2.
l**3*(l - 1)*(l + 1)/3
Suppose -2 = k, -4*m - 8 = -m + 4*k. Let l be ((-6)/4)/(45/(-20)). Suppose 2/3*t - 2/3*t**3 + 2/3*t**2 + m - l*t**4 = 0. Calculate t.
-1, 0, 1
Let y(v) be the second derivative of -v**7/252 - v**6/45 + 11*v**5/120 - v**4/12 + 4*v + 2. What is j in y(j) = 0?
-6, 0, 1
Let s(q) = -q**2 + 14*q - 44. Let r be s(8). Solve -1/4*h**2 + 21/4*h**3 - 1 - r*h = 0 for h.
-2/3, -2/7, 1
Let s(g) = g**3 - 5*g**2 + 2*g - 7. Let x be s(5). Find t such that -14*t**5 + 4*t**4 - 8*t**2 + 4 - 8*t**x - 12*t - 2*t + 36*t**3 = 0.
-1, 2/7, 1
Suppose 41*a - 44*a + 9 = 0. Let f(p) be the first derivative of -1/7*p**4 + 2/7*p**2 - 1 + 10/21*p**a - 2/7*p**5 + 0*p. Suppose f(z) = 0. Calculate z.
-1, -2/5, 0, 1
Suppose 6/7 + 27/7*y - 15/7*y**2 = 0. Calculate y.
-1/5, 2
Let r = -1 - -4. Suppose r*n - 2 = 2*n. Find x, given that 4*x**5 + x**3 - 5*x**5 - n*x**3 - 2*x**4 = 0.
-1, 0
Suppose -44 = -4*a - 36. Suppose 0*f**a + 0 + 0*f - 2/9*f**3 = 0. What is f?
0
Let b be (2 - 0) + 5/1. Let o be 23/7 + 4/(-14). Factor 15*x - 6 + b*x**4 - 12*x**3 + o*x**4 + 2*x**4 - 9*x**2 - 3*x**5 + 3*x**2.
-3*(x - 2)*(x - 1)**3*(x + 1)
Solve -2/5*u**3 - 4/5 - 8/5*u**2 - 2*u = 0 for u.
-2, -1
Let h(m) = m**2 + 2*m - 1. Let g be h(1). Suppose -g - 1 = -i. Factor 3*z**3 - i*z**3 - 2*z**4 - 2*z**3 + 4*z**2.