22*m + 0*m**2 - 1/80*m**5 + 1/120*m**6 - 1/8*m**3 - 5/48*m**4 + 0. What is i in t(i) = 0?
-1, 0, 3
Let n(r) be the first derivative of r**8/168 - 2*r**7/105 - r**6/60 + r**5/15 - 11*r**2/2 + 11. Let d(a) be the second derivative of n(a). Factor d(w).
2*w**2*(w - 2)*(w - 1)*(w + 1)
Let k(p) be the second derivative of -p**6/1080 - p**5/36 - 25*p**4/72 + 11*p**3/6 + p. Let d(w) be the second derivative of k(w). Find i such that d(i) = 0.
-5
Let p be 195/(-15)*1/(-1). Let f = p + -63/5. Factor 2/5*y**2 + f + 4/5*y.
2*(y + 1)**2/5
Let t(h) be the second derivative of -2*h + 1/10*h**6 + 0 + 0*h**2 + 0*h**3 - 3/20*h**5 + 1/14*h**7 - 1/4*h**4. Factor t(z).
3*z**2*(z - 1)*(z + 1)**2
Let m(l) be the first derivative of l**3 - 69*l**2 - 168. Factor m(t).
3*t*(t - 46)
Let z(n) be the third derivative of -n**7/315 + n**6/36 - n**5/30 - n**4/4 - 68*n**2 + 2*n. Determine r so that z(r) = 0.
-1, 0, 3
Let 5*j**3 - 208*j - 244*j**2 + 85*j**4 + 12*j**3 - 48 + 20*j**5 - 53*j**3 - 17*j**4 = 0. Calculate j.
-3, -1, -2/5, 2
Factor -18*a**2 + 24/5*a**3 + 72/5*a + 24/5.
6*(a - 2)**2*(4*a + 1)/5
Factor -40*w**3 - 32 + 0*w + 39*w**3 - 36*w - 12*w**2.
-(w + 2)**2*(w + 8)
Determine z so that 994*z**3 - 995*z**3 + 2 - 2 + 4*z - z**4 + 4*z**2 = 0.
-2, -1, 0, 2
Let o(l) be the first derivative of -2/3*l**3 + 13*l**2 + 0*l - 9. Factor o(y).
-2*y*(y - 13)
Suppose 0 = -27*k + 28*k - 1. Let w be (-6 - 2/k)*2/(-4). Let -2/11*i**3 - 6/11*i**2 + 6/11*i**w + 2/11*i + 0 = 0. Calculate i.
-1, 0, 1/3, 1
Find z, given that 6/5*z**3 - 16 + 68/5*z**2 + 72/5*z = 0.
-10, -2, 2/3
Let r(d) be the second derivative of d**6/15 + 4*d**5/15 + 2*d**4/9 - 58*d. Let r(m) = 0. What is m?
-2, -2/3, 0
Let l(h) = h**3 - h**2 - h. Let t = -7 + 4. Let f be 1/1 - 24/t. Let k(m) = -12*m**3 + 9*m**2 + 9*m. Let r(v) = f*l(v) + k(v). Factor r(c).
-3*c**3
Let h = 21 - 16. Suppose h*i - 2*r - 14 = 0, -2*r + 1 = 5. What is n in 0*n - 1/3*n**5 + 0 + 0*n**i + 0*n**3 - 2/3*n**4 = 0?
-2, 0
Let b = 400/429 + -8/39. Factor 4/11 + b*t**2 + 2/11*t**3 + 10/11*t.
2*(t + 1)**2*(t + 2)/11
Let d = -173 - -2425/14. Let t(v) be the second derivative of 1/7*v**3 - d*v**2 + 0 - 1/28*v**4 - 6*v. Solve t(j) = 0 for j.
1
Let o(j) be the third derivative of -j**6/24 - 5*j**5/6 - 35*j**4/24 + 15*j**3 - 5*j**2 + 8. Factor o(h).
-5*(h - 1)*(h + 2)*(h + 9)
Let i = -6859/280 + 49/2. Let q(s) be the third derivative of 0*s + 0 + i*s**7 + 1/240*s**6 - 1/240*s**5 + 0*s**3 + 0*s**4 + 6*s**2. Let q(p) = 0. Calculate p.
-1, 0, 1/3
Let c(y) be the third derivative of -y**5/30 - 85*y**4/12 + 86*y**3/3 - y**2 - 160. Factor c(h).
-2*(h - 1)*(h + 86)
Let n be (3*(-12)/27)/((-6)/9). Let o(r) be the first derivative of 0*r + 5*r**3 + 5*r**n + 3 + 5/4*r**4. Solve o(m) = 0.
-2, -1, 0
Let u = 74 + -72. Suppose 5*v + 2*o - 12 = 0, -o = -u*v - 0*o + 3. Solve 0 - 12/5*n**4 + 18/5*n**3 - 12/5*n**v + 3/5*n**5 + 3/5*n = 0.
0, 1
Let 0*j - 2/5*j**4 + 0 - 24/5*j**2 + 16/5*j**3 = 0. What is j?
0, 2, 6
Let n(o) be the second derivative of -8*o**5/75 - o**4/15 - o**3/60 + 9*o**2 + 8*o. Let b(f) be the first derivative of n(f). Factor b(m).
-(8*m + 1)**2/10
Let h(t) be the third derivative of 0 + 2/315*t**5 + 32*t**2 + 0*t**3 - 1/1260*t**6 + 0*t - 1/63*t**4. Solve h(w) = 0 for w.
0, 2
Let a = -4432 - -4432. Let j = -15/2 - -8. Suppose 0 + 0*d**2 + a*d + j*d**4 + 0*d**3 = 0. Calculate d.
0
Let z(j) = 7*j**2 - 186*j - 185. Let f(t) = 72*t**2 - 1860*t - 1848. Let n(m) = -2*f(m) + 21*z(m). Factor n(c).
3*(c - 63)*(c + 1)
Let v be ((-4)/6)/((-8)/24). Suppose 2*b**2 - 7*b**v - 18 - 24*b + b**2 - 4*b**2 = 0. What is b?
-3/2
Let v = -5477 - -10955/2. Factor -v*c**5 - 1/2*c**2 + 0*c + 0 - 3/2*c**3 - 3/2*c**4.
-c**2*(c + 1)**3/2
Let g be 4/1 - (-6 - (-56)/8). Let z(p) be the third derivative of -1/840*p**8 + 1/300*p**6 + 0 + 0*p**7 + 0*p**4 + 0*p**g + 0*p**5 + 0*p - 6*p**2. Factor z(x).
-2*x**3*(x - 1)*(x + 1)/5
Solve 6*r - 7*r**2 + 0*r**2 + 2*r**3 - r**2 = 0.
0, 1, 3
Let r(a) be the first derivative of -2*a**3 - 5 - 3/2*a**2 + 3/4*a**4 + 0*a + 6/5*a**5. Find s, given that r(s) = 0.
-1, -1/2, 0, 1
Let z(w) = 55*w**4 + 5*w**3 + 130*w**2 - 70*w + 55. Let c(i) = -2*i**4 - 2*i**3 - i**2 - i - 1. Let f(t) = 25*c(t) + z(t). Determine x, given that f(x) = 0.
1, 6
Let c(l) = 11*l**2 - 6*l + 2. Suppose -1 + 10 = -s. Let y(q) = 9 - 24*q + 32*q**2 + 22*q**2 - 9*q**2. Let z(u) = s*c(u) + 2*y(u). What is b in z(b) = 0?
0, 2/3
Let c(v) be the first derivative of -v**5/120 + v**4/72 + v**3/18 + 18*v - 14. Let f(s) be the first derivative of c(s). Factor f(x).
-x*(x - 2)*(x + 1)/6
Let b(v) = 23*v + 140. Let w be b(-6). Factor -3*j - 3/2 - 3/2*j**w.
-3*(j + 1)**2/2
Determine a so that 10016 + 3*a**2 + 4150 - 1309 - 396*a + 211 = 0.
66
Let l(f) = -22 - 2*f + 86*f**2 + 7 + 14. Let i be l(-1). Solve 4 + 87*y - i*y - 4*y**2 + 0*y**2 = 0 for y.
-1, 1
Suppose -5*o - 176 = -13*o. Solve o*s**5 + 24*s**5 - 51*s**5 + 4*s + 15*s**3 + 16*s**2 - 2*s**4 = 0 for s.
-1, -2/5, 0, 2
Let m(f) = -f**2 - 15*f - 14. Let x be m(-13). Suppose l = 3*u - x, 2*l + 5*u - 41 + 10 = 0. Solve 0 + 0*a**2 + 0*a**l + 2/7*a**4 + 0*a = 0 for a.
0
Let c be (-2054)/78 + 25 - 47/(-15). Factor c*f**2 - 6*f + 9/5.
3*(f - 3)*(3*f - 1)/5
Let z = 195 - 183. Suppose 3*y + z = 4*c - 0, c = 3. Factor 3/2*p**2 - 3/2*p + y.
3*p*(p - 1)/2
Let w(p) be the third derivative of -p**7/1365 - 17*p**6/780 - 7*p**5/26 - 275*p**4/156 - 250*p**3/39 + 128*p**2. Determine r so that w(r) = 0.
-5, -2
Let c(z) be the third derivative of -4/3*z**3 + 0*z - 77/30*z**5 - 8/3*z**4 - 49/60*z**6 - 3*z**2 + 0. Determine u so that c(u) = 0.
-1, -2/7
Let a(w) = -3*w + 12. Let z(q) = -2*q + 21. Let d be z(9). Let p be a(d). Solve 0 + 2/3*j + 1/3*j**4 - 1/3*j**2 - 2/3*j**p = 0 for j.
-1, 0, 1, 2
Factor 10/3*c + 4*c**2 + 2/3*c**3 - 8.
2*(c - 1)*(c + 3)*(c + 4)/3
Suppose -4*y - 3*j = 30, 8 = -4*j - 0*j. Let l(p) = 3*p**2 - 7*p - 19. Let d(t) = -t**2 + 2*t + 6. Let u(i) = y*l(i) - 21*d(i). Factor u(v).
3*(v - 2)*(v + 2)
Suppose 6 - 15 = 3*u. Let f be (-12)/(-78) + (-189)/(-39) + u. Solve 10/9*r + 2/9*r**3 + 8/9*r**f + 4/9 = 0.
-2, -1
Let h = -6155/4 + 1539. Suppose h*y**2 + 1/2 - 3/4*y = 0. What is y?
1, 2
Suppose 1078*u - 1100*u + 88 = 0. Factor 0 - 2/3*k**3 - 2/3*k**u + 2/3*k**5 + 0*k + 2/3*k**2.
2*k**2*(k - 1)**2*(k + 1)/3
Let g(d) be the third derivative of d**5/300 - d**4/40 - 3*d**3/5 + 28*d**2. Factor g(p).
(p - 6)*(p + 3)/5
Let 4/17*v + 2/17*v**2 + 0 = 0. Calculate v.
-2, 0
Let y(d) be the first derivative of -d**4/32 + 13*d**3/24 + 7*d**2/8 - 70. Factor y(k).
-k*(k - 14)*(k + 1)/8
Let p(v) = -v**3 + v**2 - 2*v. Let h be p(-2). Let f = h + -12. Suppose 2*a + f*a**2 - a + 23*a + 20 + 16 = 0. Calculate a.
-3
Let j be 44/(-10)*5*-3. Find g, given that 12*g**3 - 3*g**4 + 66 - j = 0.
0, 4
Suppose 6*a**2 - 4/3*a - a**3 - 8 - 1/3*a**4 = 0. What is a?
-6, -1, 2
Let l(z) be the first derivative of -z**4/4 + 3*z**3/2 - 3*z**2 + 20*z + 30. Let m(t) be the first derivative of l(t). Determine r, given that m(r) = 0.
1, 2
Factor -j**2 - j + 0 - 1/4*j**3.
-j*(j + 2)**2/4
Let u be 3*((-10)/(-3))/5. Solve 2*w**5 + u*w**5 - 6*w**3 - w**5 + 3*w**4 = 0.
-2, 0, 1
Let u(a) be the second derivative of 49*a**4/78 + 140*a**3/39 + 100*a**2/13 + 101*a. Factor u(o).
2*(7*o + 10)**2/13
Let n be 4 - (0 - (-2 - -1)). Suppose d = k + 2 - 3, 3*k - 19 = -5*d. Determine t so that 2*t - 70*t**2 + 12*t**k - 8*t**4 + 2*t**5 + 0*t**n + 62*t**2 = 0.
0, 1
Let x(m) be the second derivative of 3*m**4 - 88*m**3/3 - 10*m**2 + 14*m - 12. Determine a, given that x(a) = 0.
-1/9, 5
Let i(y) = -3*y**2 - 38*y - 22. Let u be 3/(-2 + (-7)/(-4)). Let j be i(u). Factor -4/15*f + 2/5 - 2/15*f**j.
-2*(f - 1)*(f + 3)/15
Suppose 2*j = -2*p - 0*p + 4, -2*j + 19 = 5*p. Determine u, given that 7 - 25*u**3 + 69*u**2 + p*u**4 + 7*u**2 - 31*u**2 - 35*u + 3 = 0.
1, 2
Let k = 156776/71 + -2208. Let a = 244/355 + k. Factor c - 1/5*c**2 - a.
-(c - 4)*(c - 1)/5
Factor 15/4*v + 3/4*v**2 + 3.
3*(v + 1)*(v + 4)/4
Suppose 0 = -14*j - j + 180. Let r be ((-3)/2)/((-6)/8). Find v such that 4*v**2 + 0*v**r - j*v**3 + 11*v**3 = 0.
0, 4
Let h(k) be the third derivative of 0 + 0*k + 1/12*k**5 + 13*k**2 - 5/4*k**4 + 15/2*k**3. Factor h(w).
5*(w - 3)**2
Let q(r) = -r**3 + 18*r**2 + 38*r + 44. Let t be q(20). Let k = t - 1. Factor 4/11*g**2