 derivative of -2/27*v**3 + 1/9*v**z + 4/9*v + 5. Solve l(o) = 0 for o.
-1, 2
Let d(l) be the first derivative of -13*l**6/720 + 17*l**5/480 - l**4/48 - 2*l**3/3 - 10. Let r(i) be the third derivative of d(i). Let r(u) = 0. What is u?
2/13, 1/2
What is y in 2/5*y**2 + 22/5 - 24/5*y = 0?
1, 11
Suppose 4*n + 20 = 3*i, 0 = -4*i + 19*n - 18*n + 18. Let v(o) = -o - 9. Let l be v(-11). Find x, given that 0 - 1/4*x**5 - x**i - x**l - 3/2*x**3 - 1/4*x = 0.
-1, 0
Factor -4/3*b**3 + 0 + 8*b**2 + 28/3*b.
-4*b*(b - 7)*(b + 1)/3
Let s(t) be the third derivative of t**10/226800 + t**9/90720 - t**8/15120 - t**5/15 + 6*t**2. Let q(z) be the third derivative of s(z). Factor q(v).
2*v**2*(v - 1)*(v + 2)/3
Let r(b) be the third derivative of b**7/735 + 71*b**6/105 + 10223*b**5/105 + 3337*b**4/7 + 6627*b**3/7 - 2*b**2 - 397. Determine z so that r(z) = 0.
-141, -1
Let s(a) = 6*a**2 + 6*a + 3. Let l be s(-1). Factor -9*o**2 + 23*o**2 - 3*o - 14*o**2 + 3*o**l.
3*o*(o - 1)*(o + 1)
Let c be (890/712)/(2 - (-74)/(-42)). Solve c*y**2 - 1/2 + 11/4*y = 0.
-2/3, 1/7
Let d = 9 + -5. Suppose -13 = -4*u - 1. Factor -3*a**d + 3*a**4 - a**u + a**5.
a**3*(a - 1)*(a + 1)
Determine f, given that 10/3*f**3 + 0 - 16/9*f - 52/9*f**4 - 14/9*f**5 + 52/9*f**2 = 0.
-4, -1, 0, 2/7, 1
Let o(w) be the third derivative of -8*w**7/35 - w**6/5 + 3*w**5/4 + w**4 + w**3/2 + w**2 - 24*w. Determine t so that o(t) = 0.
-1, -1/4, 1
Let r = -43543 - -87089/2. Factor 1/2*q**2 - q - r.
(q - 3)*(q + 1)/2
Suppose 0 = -168*q + 78*q - 195*q. Let 0 - 6/13*v**3 + 0*v + 4/13*v**2 + 2/13*v**5 + q*v**4 = 0. Calculate v.
-2, 0, 1
Let v(n) be the first derivative of -n**5 - 25*n**4/4 - 5*n**3 + 45*n**2/2 - 94. Find f, given that v(f) = 0.
-3, 0, 1
Let h(r) be the third derivative of -2*r**7/105 - 7*r**6/6 - 132*r**5/5 - 216*r**4 + 1152*r**3 + 64*r**2. Factor h(z).
-4*(z - 1)*(z + 12)**3
Let b(v) be the second derivative of 11*v**7/10080 - 13*v**6/2880 + v**5/240 + 11*v**4/4 - 38*v. Let d(q) be the third derivative of b(q). Solve d(f) = 0.
2/11, 1
Let d(x) be the first derivative of -x**7/525 - x**6/150 - x**5/150 + 7*x**2/2 + 10. Let c(k) be the second derivative of d(k). Factor c(m).
-2*m**2*(m + 1)**2/5
Factor 0 - 9*y**2 - 1/2*y**3 + 19/2*y.
-y*(y - 1)*(y + 19)/2
Let w(q) = q**2 - 2*q + 4. Let a be w(0). Suppose 9*i - a*i = 20. Factor 4*r**2 + 4*r**3 + 3*r**i + 5*r**5 - 6*r**4 - 10*r**4.
r**2*(r - 2)*(r - 1)*(5*r + 2)
Let z(q) be the second derivative of q**2 + 0 - 1/6*q**4 - q + 0*q**3. Factor z(y).
-2*(y - 1)*(y + 1)
Factor q**3 - 10*q**2 + q + 3*q**2 + 5*q**2.
q*(q - 1)**2
Factor 13/6*w**2 - 1/6*w**4 + 2*w + 0 + 0*w**3.
-w*(w - 4)*(w + 1)*(w + 3)/6
Let h(m) be the second derivative of -32/3*m**2 - 1/30*m**5 - 32/9*m**3 - 28*m + 0 - 5/9*m**4. Let h(b) = 0. Calculate b.
-4, -2
Let z(b) be the first derivative of -b**6/1800 - b**5/600 + 28*b**3/3 - 18. Let o(j) be the third derivative of z(j). Suppose o(g) = 0. What is g?
-1, 0
Suppose -10 = -4*l + a, -10*a + 50 - 68 = l. Factor -80 - 4/5*i**l - 16*i.
-4*(i + 10)**2/5
Let l(i) = i**2 - 14*i + 29. Let q be l(12). Factor 4*a**5 + 9*a**2 - 6*a**5 + 3*a**q - 13*a**2 - 4*a**3 + a**4.
a**2*(a - 2)*(a + 1)*(a + 2)
Let t(p) be the third derivative of 3*p**8/112 + p**7/14 - 13*p**6/40 - p**5/20 + 3*p**4/4 + 49*p**2 + 4. Determine b, given that t(b) = 0.
-3, -2/3, 0, 1
Determine j, given that 180/7*j - 4/7*j**4 + 44/7*j**3 - 72/7 - 148/7*j**2 = 0.
1, 3, 6
Let p(v) be the second derivative of 0*v**2 + 5*v + 1/63*v**7 + 0*v**4 + 0 + 1/45*v**6 + 0*v**3 - 1/15*v**5. Factor p(f).
2*f**3*(f - 1)*(f + 2)/3
Let n(s) be the first derivative of 3*s**5/5 - 21*s**4/4 + 17*s**3 - 51*s**2/2 + 18*s + 23. Determine q, given that n(q) = 0.
1, 2, 3
Let -8/13*k**2 + 0*k + 2/13 - 4/13*k**3 + 4/13*k**5 + 6/13*k**4 = 0. What is k?
-1, 1/2, 1
Determine a, given that -145*a + 162 - 15*a**4 - 99*a**2 + 10*a + 2485*a**3 - 2398*a**3 = 0.
-6/5, 1, 3
Let n be (-66)/(-121)*-1*(6 - 7). Determine h, given that -2/11*h**2 - n + 8/11*h = 0.
1, 3
Let r(i) be the second derivative of 225*i**4/4 - 10*i**3 + 2*i**2/3 - 2*i - 77. Let r(b) = 0. Calculate b.
2/45
Let d(x) be the third derivative of -14/15*x**5 + 46*x**2 + 0 - 1/2*x**4 + 0*x + 4/3*x**3. Factor d(v).
-4*(2*v + 1)*(7*v - 2)
Let c be 7 + 10 + 2 - 2. Suppose -c*f = -15*f - 8. Find p, given that 0 + 0*p + 10/7*p**f + 8/7*p**3 + 2/7*p**2 + 4/7*p**5 = 0.
-1, -1/2, 0
Factor 3*u + 3/2 + 3/2*u**2.
3*(u + 1)**2/2
Let g(j) be the third derivative of -1/120*j**6 - 1/180*j**5 + 0*j**3 + 0*j + 0 + 0*j**4 + 8*j**2. Factor g(x).
-x**2*(3*x + 1)/3
Let f be 18/10 - (-5)/(225/(-81)). Solve -22/9*i**4 + 22/9*i**2 + 2/3*i**5 + f + 2/3*i**3 - 4/3*i = 0 for i.
-1, 0, 2/3, 1, 3
Let t be (-849)/2328 + (-13)/104. Let r = 1/97 - t. Factor -1/2*x**5 + 0*x + 1/2*x**2 - r*x**4 + 0 + 1/2*x**3.
-x**2*(x - 1)*(x + 1)**2/2
Let k be (-3 - -1)/(1 - 145/135). Let g be (-1)/((-12)/k) + -7 + 5. Find b such that -5/4*b + g*b**3 - 3/4*b**2 - 1/2 + 1/4*b**4 = 0.
-1, 2
Let x = -869 - -871. Factor 1/5*w**x + 1/5*w + 0.
w*(w + 1)/5
Let b(j) be the first derivative of j**5/20 - 147*j**4/4 + 21609*j**3/2 - 3176523*j**2/2 + 466948881*j/4 + 437. What is s in b(s) = 0?
147
Let o(t) be the first derivative of -t**7/105 + t**6/10 - 3*t**5/10 + t**2 + 11. Let i(x) be the second derivative of o(x). Find h such that i(h) = 0.
0, 3
Suppose -4*j - 5*k = 33, -50*k + 48*k = -3*j + 27. Factor -2/3*v**4 - 7/3*v**2 + 0 + 7/3*v**j + 2/3*v.
-v*(v - 2)*(v - 1)*(2*v - 1)/3
Suppose 5*h = -5*a, -5*h - 3*a + 2 = a. Let 5*j**2 + 6*j**h + j**4 - 2*j**2 + j**3 - 7*j**3 = 0. Calculate j.
0, 3
Let d(f) be the third derivative of -20*f**2 + 1/420*f**5 - 1/490*f**7 + 0*f**4 - 1/1176*f**8 + 0*f + 0*f**6 + 0*f**3 + 0. Find h, given that d(h) = 0.
-1, 0, 1/2
Let b(u) be the first derivative of -1/4*u**4 + 4*u - 3 + 2/3*u**3 + 7/2*u**2. Solve b(j) = 0.
-1, 4
Suppose -15 + 57/4*s + 3/4*s**2 = 0. Calculate s.
-20, 1
Let o(x) be the second derivative of x**6/315 - x**5/42 - x**4/18 + 41*x**3/63 - 10*x**2/7 + 2*x - 87. Let o(a) = 0. What is a?
-3, 1, 2, 5
Suppose 8 = 8*u - 4*u. Find k, given that 1053*k**2 - 1048*k**2 + 15*k**4 - 15*k**3 - 3*k**5 - u*k**5 = 0.
0, 1
Let g(a) be the second derivative of 2*a**7/21 - 4*a**6/3 + 31*a**5/5 - 26*a**4/3 - 56*a**3/3 + 80*a**2 + 16*a - 5. Solve g(j) = 0.
-1, 2, 5
Factor -15*t + 20100 - 20154 + 59*t**2 - 20*t**2.
3*(t + 1)*(13*t - 18)
Let m(q) be the third derivative of 0*q + 1/32*q**4 - 9 - 5/48*q**3 - 1/480*q**5 + 2*q**2. Solve m(a) = 0.
1, 5
Suppose h = -h - 6, 4*f = h + 15. Suppose -d = f*d + 12, -5*r = -2*d - 6. Factor 6/5*l**2 + r*l - 8/5 - 2/5*l**3.
-2*(l - 2)**2*(l + 1)/5
Let x(y) be the first derivative of 4*y**3/3 - 16*y**2 + 170. Determine q so that x(q) = 0.
0, 8
Let a(y) = -y - 1. Let p(c) = 4*c**2 - 20*c + 8. Let h = -47 - -46. Let u(i) = h*p(i) + 4*a(i). Find l, given that u(l) = 0.
1, 3
Let s(z) = z**2 + 1. Let b(d) = 7*d**2 - 2*d + 6. Let m(p) = b(p) - 6*s(p). Let h be m(0). Factor -c**4 - 1 + 0*c**4 + 0*c + h*c + c + c**5 - 2*c**3 + 2*c**2.
(c - 1)**3*(c + 1)**2
Let o(b) = -13*b**4 + 15*b**3 - 5*b**2. Let c(a) = -a**4 + a**3 - a**2. Let g = -39 + 61. Let f(m) = g*c(m) - 2*o(m). Factor f(y).
4*y**2*(y - 3)*(y + 1)
Let t(b) be the second derivative of -b**4/12 - b**3/2 + b. Let r(s) = 3*s**2 + 7*s - 1. Let z(l) = 2*r(l) + 5*t(l). Solve z(f) = 0.
-1, 2
Let l(w) = w. Let z(v) = -6*v - 31 + 31 + 18*v. Let b(r) = -3*l(r) + z(r). Let y(a) = a**2 + 8*a + 1. Let d(k) = -2*b(k) + 3*y(k). Suppose d(f) = 0. What is f?
-1
Let b(c) = 4*c**2 - 9*c + 3. Let i(v) = 23*v**2 - 49*v + 17. Let a(z) = -34*b(z) + 6*i(z). Factor a(w).
2*w*(w + 6)
Let w be 1/(-3) + (-40)/(-3). Let c = -2 + w. Find i such that -95*i**4 + c*i**3 - 5*i**3 + 98*i**4 = 0.
-2, 0
Suppose 4*x + 5 + 11 = 0, 4*x - 17 = 3*f. Let h = 14 + f. Factor 4/9*s + 8/3*s**h - 2*s**2 + 0 - 10/9*s**4.
-2*s*(s - 1)**2*(5*s - 2)/9
Let r be (2/18)/(2/6). Suppose 100*t - 102*t = 0. Suppose 0*p**2 + t - 1/3*p**3 + r*p = 0. Calculate p.
-1, 0, 1
Let s(g) = -2*g - 5. Let k be s(-4). Suppose -4*t = -k*t - 3. Factor 3*f**2 + 0*f**3 - 17*f**4 - 3*f**3 + t*f**5 + 14*f**4.
3*f**2*(f - 1)**2*(f + 1)
Let j be (-92)/(-445)*10/4. Let r = j + 8492/445. Factor 56/5*q + r*q**2 + 8/5.
2*(7*q + 2)**2/5
Let q(j) be the third derivative of 0 + 0*j - 19*