, given that o(m) = 0.
-3, 0, 1
Let b = -25/327 - -527/2616. Factor 1/8*g**2 - b*g + 1/8*g**3 - 1/8.
(g - 1)*(g + 1)**2/8
Factor 0 + 2/5*t**3 + 14/5*t + 16/5*t**2.
2*t*(t + 1)*(t + 7)/5
Let y(v) be the second derivative of -v**4/16 + 43*v**3/8 - 123*v**2/4 - 60*v. Suppose y(h) = 0. Calculate h.
2, 41
Let g(m) = -m**3 + 22*m**2 + 49*m - 550. Let r be g(23). Suppose -r - 4/3*v**2 + 16*v = 0. What is v?
6
Let q(n) be the third derivative of 0*n + 0*n**3 + 9*n**2 + 0 - 2/3*n**4 + 0*n**5 + 1/30*n**6. Determine f, given that q(f) = 0.
-2, 0, 2
Factor -11*l - 4*l - l**3 - 7 + 0*l**3 - 9*l**2 + 0*l**2.
-(l + 1)**2*(l + 7)
Let s(a) be the third derivative of -a**8/672 + a**7/35 - a**6/12 - 11*a**5/12 + 7*a**4/16 + 49*a**3/6 - 3*a**2. Solve s(f) = 0.
-2, -1, 1, 7
Let k be (3 + 0)/(0 + 1) - 2. Let m(v) = -5*v**4 + 6*v**3 - 8*v. Let f(g) = -g**4. Let a(z) = k*m(z) - 3*f(z). Factor a(n).
-2*n*(n - 2)**2*(n + 1)
Let p be (-142)/(-35) - (-140)/(-700). Factor -9/7*q**2 + p*q**3 - 15/7*q - 3/7.
3*(q - 1)*(3*q + 1)**2/7
Let k(h) = 270*h + 1084. Let o be k(-4). Factor -1/2*y**5 + 5/2*y + 2*y**o - y**2 - 1 - 2*y**3.
-(y - 2)*(y - 1)**3*(y + 1)/2
Let m(d) = d**5 - 2*d**4 + d**2 + d - 1. Let b(h) = -20*h**5 + 45*h**4 - 8*h**3 - 12*h**2 - 8*h + 8. Let s(i) = -3*b(i) - 24*m(i). Let s(g) = 0. Calculate g.
-1/4, 0, 2/3, 2
Let k be ((-1)/(-3))/(4 - (-39)/(-9)). Let a(l) = -3*l - 1. Let b be a(k). Suppose -2*c**b + 2/3*c**3 - 2/3 + 2*c = 0. What is c?
1
Let h(i) be the second derivative of i**4/30 + 14*i**3/15 + 13*i**2/5 + 58*i. Suppose h(p) = 0. What is p?
-13, -1
Let 7 - 70*g + 67*g - 3*g**2 - 1 = 0. What is g?
-2, 1
Let d = 43 - 49. Let a be 6/10*(-4)/d. Factor 2/5*r**2 + 0*r - a*r**3 + 0.
-2*r**2*(r - 1)/5
Let 5*w**3 - 9*w**3 + 8 + w**2 + 13*w**2 - 2*w**2 - 4*w**4 + 20*w = 0. Calculate w.
-1, 2
Let i(r) be the first derivative of 13*r**6/8 - 279*r**5/20 + 471*r**4/16 - 87*r**3/4 + 15*r**2/4 - 102. Suppose i(u) = 0. What is u?
0, 2/13, 1, 5
Suppose -12*h = 42 - 66. Let m(w) = -w**3 - 3*w**2 + 4*w + 2. Let o be m(-4). Factor -o*f + 4*f - 2*f - 3*f**h.
-3*f**2
Suppose 3*v + 37 - 30 = -4*d, v - 23 = 5*d. Let 4/7*g**v + 6/7*g + 1/7 + 9/7*g**2 = 0. What is g?
-1, -1/4
Let q(m) be the second derivative of -m**5/26 + 7*m**4/78 - 2*m**3/39 + 7*m. Suppose q(x) = 0. Calculate x.
0, 2/5, 1
Factor 55*l - 187 + 57 + 2*l**2 - 31*l + 104*l.
2*(l - 1)*(l + 65)
Let b be (-6)/(-4) - 18/12. Factor b*g**2 - g - 8*g - 4*g**2 + 4*g**3 + g.
4*g*(g - 2)*(g + 1)
Let x(z) be the third derivative of z**6/1020 + 7*z**5/510 + z**4/34 + 2*z**2 + 81. Find n such that x(n) = 0.
-6, -1, 0
Let z(p) be the first derivative of -7*p**4/4 - 7*p**3/3 + 5*p - 9. Let o(h) = 6*h**3 + 6*h**2 - 4. Let i(q) = -5*o(q) - 4*z(q). Factor i(u).
-2*u**2*(u + 1)
Suppose 2*l = -5*z - 21, -l - z + 6 = 9. Let 12/7*a**4 - 3/7*a - 33/7*a**3 + 27/7*a**l - 3/7 = 0. What is a?
-1/4, 1
Let o(s) be the first derivative of -12 - 2*s**4 + 8*s + 2/3*s**6 + 2*s**2 + 8/5*s**5 - 16/3*s**3. Find t, given that o(t) = 0.
-2, -1, 1
Suppose -14*u - 13*u = -81. Let l(c) be the second derivative of -7*c - 1/90*c**5 + 0*c**2 + 0 - 1/54*c**4 + 0*c**u. What is z in l(z) = 0?
-1, 0
Let -52*l**2 - 74 + 77 + 53*l**2 + 4*l = 0. What is l?
-3, -1
Let x be -2 + ((-146)/(-63) - 20/90). Let c(w) be the first derivative of -2/7*w - x*w**3 + 2/7*w**2 + 1. Solve c(r) = 0 for r.
1
Let i(b) = -2*b**5 + 13*b**4 + 57*b**3 + 112*b**2 + 67*b. Let v(u) = -u**5 - u**3 + u. Let n(d) = i(d) - 3*v(d). Factor n(l).
l*(l + 1)*(l + 4)**3
Let g(f) = f**2 + 11*f + 30. Let j be g(-6). Let p(k) be the second derivative of 2/3*k**2 + j - 2*k + 1/6*k**4 - 5/9*k**3. Factor p(d).
2*(d - 1)*(3*d - 2)/3
Factor 4/5*t**3 + 0*t**2 + 0 - 2/5*t**4 - 2/5*t**5 + 0*t.
-2*t**3*(t - 1)*(t + 2)/5
Let p(s) be the second derivative of -s**5/60 - 5*s**4/36 + 13*s**3/18 - 7*s**2/6 + 69*s. Solve p(o) = 0 for o.
-7, 1
Let j = -825/7 - -118. Let c(i) be the first derivative of 4/7*i - 2/21*i**3 + 3 - j*i**2. Let c(u) = 0. What is u?
-2, 1
Let n = -65862 + 524405/8. Let k = -311 - n. Suppose 0*z + 3/8 - k*z**2 = 0. What is z?
-1, 1
Let v(s) be the first derivative of s**8/1344 - s**7/672 - s**6/48 + s**5/24 + 5*s**4/12 - 2*s**3/3 + 13. Let n(z) be the third derivative of v(z). Factor n(p).
5*(p - 2)**2*(p + 1)*(p + 2)/4
Let u be (-1)/1 - ((-33)/3 + 7). Suppose -15 = -2*h + 5*f, u*h - h + 5*f + 15 = 0. Determine x so that -3/4*x + h + 21/4*x**2 = 0.
0, 1/7
Let h(s) be the first derivative of -7*s**4/12 - 4*s**3/3 - s**2/2 + 2*s/3 + 57. Suppose h(r) = 0. What is r?
-1, 2/7
Suppose -2*q = f - 7*q + 15, 0 = 7*f - 5*q + 15. Factor f - 2/17*j**2 + 4/17*j.
-2*j*(j - 2)/17
Let j(p) be the third derivative of p**9/211680 + p**8/23520 - p**7/4410 - 7*p**5/20 + 3*p**2. Let s(h) be the third derivative of j(h). Factor s(q).
2*q*(q - 1)*(q + 4)/7
Let h = 152 - 152. Let u(w) = 3*w**2 - 1. Let g be u(1). Let t**2 + t + h*t**g + 2*t**2 = 0. Calculate t.
-1/3, 0
Let p(g) = g**2 + 2*g - 3. Let f be p(3). Let o be ((-5)/(-2))/(2/f). Determine v so that 16*v - 14*v + o*v**2 - 7*v**2 = 0.
-1/4, 0
Let l = 29 - 17. Suppose -2*z**4 + 18*z - z**2 - 2*z**2 - 3*z**4 - l*z**3 + 2*z**4 = 0. Calculate z.
-3, -2, 0, 1
Let a(y) be the second derivative of -y**7/42 + y**5/5 + y**4/6 - y**3/2 - y**2 - 7*y + 8. Factor a(l).
-(l - 2)*(l - 1)*(l + 1)**3
Find k such that -25*k - 59*k**2 - 2 - 22 + 2*k - 9*k**2 - 69*k = 0.
-1, -6/17
Suppose 4*u - 16 = 128. Let q be (-16)/(-6) - 24/u. Factor q*y + 0 + 0 - 8*y - 3*y**2.
-3*y*(y + 2)
Solve -12/5*s + 2/5*s**2 - 14/5 = 0 for s.
-1, 7
Suppose -41 = -4*l - 5*q, 5*l - 3*q = -q + 43. Let a be l/(-18)*0/1. Factor f**2 - 2 + 1 + a*f**2.
(f - 1)*(f + 1)
Solve 6*q + 0 + 1/2*q**3 + 7/2*q**2 = 0.
-4, -3, 0
Let j = -44463 + 44466. Suppose 20/9 - 5/3*f**2 + 4/9*f + 1/9*f**4 + 2/9*f**j = 0. Calculate f.
-5, -1, 2
Suppose g = 2*r - 19, -13 = 2*g - 3. Factor r*i**2 - 4*i**3 + 3*i**3 - 16*i**2 + i + 10*i**2 - i**4.
-i*(i - 1)*(i + 1)**2
Solve 6*b**2 + 0 + 2/7*b**3 + 0*b = 0.
-21, 0
Let n(c) be the second derivative of -c**6/240 - 41*c**3/6 + 28*c. Let g(l) be the second derivative of n(l). Factor g(v).
-3*v**2/2
Let g(y) be the first derivative of y**5 - 15*y**4/2 + 15*y**3 + 10*y**2 - 60*y + 129. Let g(i) = 0. What is i?
-1, 2, 3
Factor 178/5 + 2/5*c**2 + 36*c.
2*(c + 1)*(c + 89)/5
Let v(t) be the third derivative of -2/315*t**7 + 0*t**3 + 36*t**2 - 1/45*t**5 + 1/1008*t**8 + 0*t + 0 + 1/72*t**4 + 1/60*t**6. Factor v(a).
a*(a - 1)**4/3
Let r(b) = 149*b**4 + 5080*b**3 + 2868*b**2 + 408*b. Let z(p) = -597*p**4 - 20319*p**3 - 11472*p**2 - 1632*p. Let y(w) = 9*r(w) + 2*z(w). Factor y(v).
3*v*(v + 34)*(7*v + 2)**2
Let w be 27/((-378)/112) - -8. Suppose -1/5*u**2 - 1/5*u + 1/5*u**4 + 1/5*u**3 + w = 0. What is u?
-1, 0, 1
Let x(a) = -3*a**3 + a**2 + a. Let v be x(-1). Let p = 25 + 35. Factor 25*m**2 + 3*m**2 + 5*m**v - p*m + 36 - 5*m**3 - 4*m**3.
-4*(m - 3)**2*(m - 1)
What is d in -2/3*d**2 + 16*d - 2/3*d**4 - 32/3 - 4*d**3 = 0?
-4, 1
Let o(f) be the first derivative of -f**3/3 + 7*f**2/2 - 6*f - 194. Suppose o(h) = 0. What is h?
1, 6
Factor 1/4*t**3 - 1/4*t + 2*t**2 - 2.
(t - 1)*(t + 1)*(t + 8)/4
Let m(x) be the second derivative of x**6/30 + 3*x**5 + 209*x**4/2 + 5054*x**3/3 + 20577*x**2/2 + 334*x. Let m(b) = 0. Calculate b.
-19, -3
Let m be (-1 + (-14)/(-8))/((-3)/(-19)). Let s = 5 - m. Let -1/4*v**3 + s*v + 0*v**2 + 0 = 0. Calculate v.
-1, 0, 1
Factor -7*b**4 + 20 - 20 + 81*b**2 - 3*b**5 + 162*b - 27*b**3 - 14*b**4.
-3*b*(b - 2)*(b + 3)**3
Let g = -5 + 14. Let d = -7 + g. Factor -5*w**2 + 8*w**d + 11*w**2 + 6*w**3 + 4*w.
2*w*(w + 2)*(3*w + 1)
Let b(z) be the second derivative of -8*z**6/15 - 26*z**5/5 - 43*z**4/4 - 23*z**3/3 - 5*z**2/2 + 240*z. Factor b(u).
-(u + 1)*(u + 5)*(4*u + 1)**2
Let t(y) be the third derivative of y**8/112 + y**7/70 - y**6/40 - y**5/20 - 4*y**2 - 16*y. Determine g so that t(g) = 0.
-1, 0, 1
Let f be (2959/52 + (-10)/65)*-1. Let x = 57 + f. Factor x*q**2 + 0*q + 0 + 1/4*q**3.
q**2*(q + 1)/4
Let y(n) be the third derivative of -n**6/180 + n**5/15 + 7*n**4/36 - n**2 + 115. Find s such that y(s) = 0.
-1, 0, 7
Factor -27/2*o + 3/4*o**2 + 0.
3*o*(o - 18)/4
Let c(q) be the first derivative of 14/15*q**3 - 1/15*q**6 + 2/5*q**5 + 0*q - 9/10*q**4 - 6 - 2/5*q**2. Suppose c(u) = 0. Calculat