rd derivative of -6*k**2 - 3/80*k**5 - 1/96*k**6 - 7/96*k**4 + 0 - 1/840*k**7 - 1/12*k**3 + 0*k. Factor a(d).
-(d + 1)**3*(d + 2)/4
Let 4*j**3 - 5*j**5 + 8*j**5 + j**5 - 8*j**3 = 0. What is j?
-1, 0, 1
Let q(m) be the second derivative of m**7/147 + 2*m**6/105 - m**4/21 - m**3/21 + 4*m. Factor q(s).
2*s*(s - 1)*(s + 1)**3/7
Let i(z) be the second derivative of z**5/4 - 5*z**4/12 - 5*z**3/6 + 5*z**2/2 + 8*z. Factor i(l).
5*(l - 1)**2*(l + 1)
Let z(n) = -1. Let o(i) = -2*i - 26. Let d(x) = -o(x) + 10*z(x). Let k be d(-7). Suppose 0 - k*l**2 - 2/3*l - 2/3*l**4 - 2*l**3 = 0. Calculate l.
-1, 0
Let 32/5*b + 2/5*b**4 + 0 - 24/5*b**2 + 0*b**3 = 0. What is b?
-4, 0, 2
Let t(q) = q + 1. Let y be t(2). Factor 2*m**y + 15*m - 26*m**2 - 12 - 2*m**4 + 9*m + 10*m**3 + 4.
-2*(m - 2)**2*(m - 1)**2
Factor -v**2 - 1/6*v**4 - 2/3*v + 5/6*v**3 + 4/3.
-(v - 2)**3*(v + 1)/6
Let -128*u**4 - 2*u**2 - 15*u**2 + 4*u + 177*u**4 - 7*u**2 + 21*u**3 = 0. Calculate u.
-1, 0, 2/7
Let d(j) = j**3 - 6*j**2 - 8*j + 8. Let n be d(6). Let i be (8/5)/((-16)/n). Let 0 - i*a + 3*a**3 + 7 + a - 1 - 6*a**2 = 0. Calculate a.
-1, 1, 2
Find h, given that 0 + 0*h + 1/8*h**2 = 0.
0
Let l(u) = -u**2 - 3*u + 4. Let n be l(-3). Find f such that -3*f**3 + f**3 - 3*f + 0*f - 2*f**2 + 2*f**n + 5*f = 0.
-1, 0, 1
Let q(w) be the third derivative of -w**7/1365 - w**6/195 - 2*w**5/195 - 12*w**2. Suppose q(i) = 0. Calculate i.
-2, 0
Let t(n) be the first derivative of -4*n**3/3 - 8*n**2 - 12*n + 3. Determine r, given that t(r) = 0.
-3, -1
Let f(v) be the second derivative of 1/15*v**3 + 1/50*v**5 + 1/15*v**4 + 0 + 8*v + 0*v**2. Determine p, given that f(p) = 0.
-1, 0
Suppose 25 = 3*k - 4*x, -3*k + 2*x = x - 13. Suppose -3*q = -q - 2*c - 8, -2*q = k*c + 2. Factor 4/3 + 2/3*g**2 - q*g.
2*(g - 2)*(g - 1)/3
Let y(o) be the third derivative of 7*o**5/150 - o**4/30 + 19*o**2. Factor y(k).
2*k*(7*k - 2)/5
Let z(l) be the second derivative of -l**7/336 - l**6/40 - 13*l**5/160 - l**4/8 - l**3/12 - 19*l. Suppose z(q) = 0. What is q?
-2, -1, 0
Let z(c) = c**2 + 16*c + 5. Let w = 1 + -17. Let x be z(w). Find n such that 0*n + 1/3*n**x + 0 - 1/3*n**3 - 1/3*n**4 + 1/3*n**2 = 0.
-1, 0, 1
Let w(v) be the first derivative of -v**6/360 + v**5/120 + v**4/12 + v**3 + 1. Let y(h) be the third derivative of w(h). Factor y(a).
-(a - 2)*(a + 1)
Let o(d) be the third derivative of 0*d**3 - 1/120*d**6 + 1/60*d**5 + 0 + 0*d + 1/24*d**4 - 1/210*d**7 - d**2. Determine z, given that o(z) = 0.
-1, 0, 1
Suppose 0 = -503*k + 510*k - 21. What is t in 112/3*t + 8 + 110/3*t**2 - 50/3*t**k = 0?
-2/5, 3
Let g(a) = 2*a**2 - 2*a - 2. Let i be g(2). Factor 6*y + 0*y**2 - i*y - 2*y**2.
-2*y*(y - 2)
Let r(h) be the second derivative of 4*h - 3/10*h**5 + 1/3*h**4 - 4/5*h**6 + 0*h**2 + 0*h**3 + 0 - 1/3*h**7. Factor r(i).
-2*i**2*(i + 1)**2*(7*i - 2)
Let w be ((-2)/52)/((-18)/72). Factor -64/13*q**3 - 32/13*q**4 - 16/13*q - 48/13*q**2 - w.
-2*(2*q + 1)**4/13
Let -1/3 + 0*v**2 + 2/3*v**3 + 1/3*v**4 - 2/3*v = 0. Calculate v.
-1, 1
Factor -3*l**4 - 8651*l + 3*l**2 - 3*l**3 + 8651*l + 3*l**5.
3*l**2*(l - 1)**2*(l + 1)
Let v(y) be the third derivative of y**7/5040 - y**6/1440 - y**4/8 - 2*y**2. Let r(q) be the second derivative of v(q). Factor r(c).
c*(c - 1)/2
Suppose 20 = 2*d + 2*d. Let w(v) = -v + 7. Let z be w(d). Factor -h**4 - 4*h**z + 5*h**4 - h + 3*h - 2*h**5.
-2*h*(h - 1)**3*(h + 1)
Let z(q) = 1. Let t(c) = 5*c**3 + 10*c**2 - 6. Let l(a) = t(a) + 6*z(a). Suppose l(k) = 0. Calculate k.
-2, 0
Let g(t) be the third derivative of t**6/120 + t**5/40 - 5*t**3/6 - 7*t**2. Let y(w) be the first derivative of g(w). Factor y(b).
3*b*(b + 1)
Let j(m) = 14*m**3 + 3*m**2 + 17*m. Let x = -7 + 19. Let a = x + -6. Let v(s) = -5*s**3 - s**2 - 6*s. Let i(h) = a*j(h) + 17*v(h). Factor i(t).
-t**2*(t - 1)
Find o such that 16*o + 2*o**2 - 519 + 519 = 0.
-8, 0
Let a(p) be the second derivative of p**4/20 + p**3/5 + 3*p**2/10 + p. Suppose a(s) = 0. Calculate s.
-1
Suppose 4*x**2 + 26/5*x**3 - 8/5*x + 0 + 7/5*x**4 = 0. Calculate x.
-2, 0, 2/7
Let n be ((-2)/9*6)/((-4)/6). Let a(u) be the second derivative of -1/15*u**4 - u + 2/75*u**6 + 1/15*u**3 + 0*u**n + 0 - 1/105*u**7 + 0*u**5. Factor a(r).
-2*r*(r - 1)**3*(r + 1)/5
Suppose -1/6*i**2 + 1/3*i + 0 - 1/6*i**3 = 0. Calculate i.
-2, 0, 1
Let x(j) be the third derivative of 1/60*j**6 + 0 + 0*j - 3*j**3 + 1/4*j**4 + 3*j**2 + 1/6*j**5. Factor x(k).
2*(k - 1)*(k + 3)**2
Let c = -2 - -4. Factor -2 - 12*s**c + 8*s - 2*s**4 - s**4 + 8*s**3 + 0*s**3 + s**4.
-2*(s - 1)**4
Suppose -20*r**3 + 5*r**5 + 9*r**2 + 10 + 14*r**2 + 15*r - 51*r**2 + 18*r**2 = 0. What is r?
-1, 1, 2
Let z(a) be the third derivative of a**8/56 - a**7/70 - a**6/20 + a**5/20 + 6*a**2. Find x such that z(x) = 0.
-1, 0, 1/2, 1
Let c(v) = v**2 + v + 3. Let l be c(0). Factor -l*f**2 + 21*f + f**2 - 27*f.
-2*f*(f + 3)
Let f(x) = -48*x - 189. Let i(w) = -w**2 - 48*w - 190. Let t(d) = -2*f(d) + 3*i(d). Determine g so that t(g) = 0.
-8
Find i, given that 2/3*i**2 - 1/3*i + 1/3*i**3 - 2/3 = 0.
-2, -1, 1
Let s(q) be the third derivative of 0*q - 1/24*q**4 + 1/120*q**6 - 1/210*q**7 - 1/3*q**3 + 0 + 1/20*q**5 + 3*q**2. Factor s(k).
-(k - 2)*(k - 1)*(k + 1)**2
Solve -o**5 - 3*o**4 - 20*o - 2*o**3 + 20*o = 0.
-2, -1, 0
Let z(r) be the first derivative of -r**5/40 - r**4/24 + r**3/12 + r**2/4 - 5*r - 1. Let b(h) be the first derivative of z(h). Find q such that b(q) = 0.
-1, 1
Suppose 4*g + 45 = -g. Let m(c) be the first derivative of c**3/3 + c**2 - c - 3. Let x(k) = -4*k**2 - 9*k + 4. Let f(w) = g*m(w) - 2*x(w). Factor f(z).
-(z - 1)*(z + 1)
Let u be 11/((-77)/35) - -7. Find j such that -1/2*j**3 + 5/2*j + 1/2*j**4 - 3/2*j**u - 1 = 0.
-2, 1
Let s = -2 + 12/5. Let g be (1/2)/((-10)/(-8)). Determine d so that -6/5*d**2 - s*d**3 - 6/5*d - g = 0.
-1
Let s = 1260368/45 - 28007. Let k = s + 2/9. Determine u so that -1/5 - 8/5*u**2 + k*u - 16/5*u**3 = 0.
-1, 1/4
Factor -2/21*u**3 + 0*u + 4/21*u**2 + 0.
-2*u**2*(u - 2)/21
Let u be -4*-3*(-2)/(-8). Let m = 6 - u. Factor -5*n**3 - 6*n**2 - 3*n + 10*n**3 - 8*n**m.
-3*n*(n + 1)**2
Let t(s) be the second derivative of s**4/66 + 13*s**3/33 + 12*s**2/11 - 53*s. Solve t(l) = 0.
-12, -1
Let t = -6 + 8. What is j in -4*j**3 + t*j**2 + 0*j**2 + j**4 - 2*j**4 + 3*j**4 = 0?
0, 1
Let u(q) = 2*q**2 - 2. Let h be u(-2). Factor -o - 2*o**3 + h*o**2 - o - 2*o**2.
-2*o*(o - 1)**2
Let c(x) = -x**2 + 10*x + 1. Let b be c(10). Let m(i) = -i**3 + 2*i**2 + i - 2. Let k be m(b). Find n, given that 1/4*n**2 + k - 1/2*n = 0.
0, 2
Solve -5*w - 3 - 5*w**2 - 2*w**3 + 8 + 7*w**3 = 0 for w.
-1, 1
Let j(x) be the second derivative of -x**6/45 + x**5/30 + x**4/18 - x**3/9 + x. Let j(q) = 0. What is q?
-1, 0, 1
Let t(z) be the first derivative of -1 + 0*z + 1/24*z**4 - 1/60*z**5 + 0*z**2 - 1/120*z**6 + 1/3*z**3. Let g(k) be the third derivative of t(k). Factor g(o).
-(o + 1)*(3*o - 1)
Let x(c) be the second derivative of -2*c**7/21 - 2*c**6/15 + 34*c. Factor x(s).
-4*s**4*(s + 1)
Let o be (-8)/(-84)*9*7. Solve -h**5 - 24*h**2 + 12*h + 9*h**3 - 4*h**5 + o*h**4 + 2*h**5 = 0.
-2, 0, 1, 2
Let h(a) be the third derivative of a**8/784 - a**7/98 + a**6/35 - a**5/35 - 7*a**2. Factor h(t).
3*t**2*(t - 2)**2*(t - 1)/7
Let a(v) be the first derivative of v**3 - v**2/2 - 7. Let s(l) = 3*l**2. Let z(x) = -3*a(x) + 2*s(x). Factor z(r).
-3*r*(r - 1)
Let p(r) be the second derivative of 0 - 2/27*r**3 - 1/54*r**4 - 7*r - 1/9*r**2. Factor p(f).
-2*(f + 1)**2/9
Let x(u) be the third derivative of u**7/2520 - u**5/360 + u**3/3 + 3*u**2. Let o(s) be the first derivative of x(s). Let o(f) = 0. Calculate f.
-1, 0, 1
Let f(l) be the second derivative of l**7/84 - l**6/20 + 3*l**5/40 - l**4/24 - 18*l. Factor f(a).
a**2*(a - 1)**3/2
Let i(d) be the third derivative of -d**7/840 + d**5/120 - d**3/3 + 4*d**2. Let b(h) be the first derivative of i(h). Factor b(f).
-f*(f - 1)*(f + 1)
Suppose 3*m + 5*t = -22 + 2, -m - 3*t = 12. What is x in m - 4/3*x**2 - 4/3*x**3 + 0*x - 1/3*x**4 = 0?
-2, 0
Let w(v) = v**3 - 5*v**2 + 5*v - 2. Let u be w(4). Suppose 2*q - 5 - 9 = 0. Factor -u*d**3 + 2*d**2 - q*d**4 - 2*d + 5*d**2 + 4*d**3.
-d*(d - 1)*(d + 1)*(7*d - 2)
Let k(m) = -m**3 + 4*m**2 + 5*m. Let z be k(5). Factor 3*r**2 + z*r**2 - 6*r + 0*r - 6*r**2 - 3.
-3*(r + 1)**2
Let o(p) = -3*p**2 + 15*p