f*v**3 = 0.
-2/7, 0, 1
Let a(r) be the third derivative of 3/40*r**6 - 1/2*r**4 + 0*r**5 + 0 + 1/70*r**7 + 0*r + 0*r**3 + 5*r**2. Find i, given that a(i) = 0.
-2, 0, 1
Let b(z) be the third derivative of 5*z**8/336 + z**7/21 - z**6/12 - z**5/3 + 5*z**4/24 + 5*z**3/3 - 7*z**2 + z. Determine v so that b(v) = 0.
-2, -1, 1
Let l(x) be the second derivative of x**3 + 0 - 2*x - 2*x**2 - 1/12*x**4. Let q(r) = r**2 - 7*r + 5. Let h(n) = 5*l(n) + 4*q(n). Factor h(z).
-z*(z - 2)
Suppose -4 = 50*z - 52*z. Factor 15 + p**z + 3*p - 15.
p*(p + 3)
Let q(h) be the third derivative of 0*h + 0*h**5 - 1/600*h**6 + 0 + 0*h**3 + 0*h**4 - 17*h**2 - 1/1050*h**7. Factor q(i).
-i**3*(i + 1)/5
Let x(v) be the second derivative of -v**5/100 + 31*v**4/60 - 14*v**3/5 - 4*v - 71. What is d in x(d) = 0?
0, 3, 28
Let i be (3/9)/((-2)/(-24)). Factor 2*o**5 + 4*o**2 - i*o**4 + 48*o - 48*o + 2*o**5 - 4*o**3.
4*o**2*(o - 1)**2*(o + 1)
Let t = 868/3 - 289. Let o(l) be the first derivative of 1/6*l**4 - 2 - t*l - 1/3*l**2 + 1/15*l**5 + 0*l**3. Find c, given that o(c) = 0.
-1, 1
Solve -2/3*k**4 + 0 - 2/3*k - 17/6*k**3 - 10/3*k**2 = 0.
-2, -1/4, 0
Factor 1/4*h**3 - 9*h**2 + 0*h + 0.
h**2*(h - 36)/4
Find i such that -8*i + 13 - 16 + 8*i + 6*i**2 - 3*i**4 = 0.
-1, 1
Let o be (26*(-22)/1188)/(2/(-12)). What is l in -8/3*l**4 + 16/9*l**2 + o*l**3 - 4/9 - 14/9*l = 0?
-2/3, -1/4, 1
Let f = -36212/32607 + -2/3623. Let b = 16/9 + f. Let 8/3*t - 2 - b*t**2 = 0. What is t?
1, 3
Let d(l) = -2*l**3 - 4. Let j(k) be the third derivative of -k**6/60 + k**4/24 - 2*k**3/3 - 4*k**2. Let h(x) = 5*d(x) - 6*j(x). Factor h(q).
2*(q - 1)**2*(q + 2)
Suppose -2 = -43*j + 42*j. Solve -216 + 216 - 2*x**3 + j*x**4 = 0.
0, 1
Let g(r) be the first derivative of r**4/60 + r**3/30 - r**2/5 + 26*r + 16. Let j(a) be the first derivative of g(a). Factor j(z).
(z - 1)*(z + 2)/5
Suppose -11*y**2 + 39*y**2 - 19 - 9*y**2 + y**2 + y - 1 - y**3 = 0. Calculate y.
-1, 1, 20
Determine a so that -3/2*a**4 - 3/4*a**2 - 9/4*a**3 + 0 + 0*a = 0.
-1, -1/2, 0
Let k(b) be the second derivative of -b**6/90 - b**5/10 - 5*b**4/36 + 4*b**3/3 + 6*b**2 - 75*b. Find x such that k(x) = 0.
-3, -2, 2
What is l in 7*l + 3*l**3 + 0*l + 15*l**2 + 6*l - l = 0?
-4, -1, 0
Suppose -3*o = 4*a - o, 3*a + 5*o = 0. Let m = a + 5. What is l in 74*l**3 + 42*l**2 + 27*l**4 - 26*l**3 - 23*l + 41*l + 3 + 6*l**m = 0?
-1, -1/2
Let z be 3 + -10 - 4*44/(-16). Let s(f) be the second derivative of -6*f + 1/42*f**z + 0 + 16/7*f**2 + 8/21*f**3. Determine d, given that s(d) = 0.
-4
Let -384*v**2 - 135*v + 16*v**4 + 54 - 2*v**4 + 53*v**5 + 231*v**3 - 77*v**5 + 28*v**4 = 0. Calculate v.
-3, -1/2, 1/4, 2, 3
Let m(n) be the first derivative of 1/18*n**3 + 0*n + 1/6*n**2 + 13. Factor m(i).
i*(i + 2)/6
Let a = -5234/15 - -1048/3. Factor 2/5*i**2 + 0*i - a.
2*(i - 1)*(i + 1)/5
Let r = -575 - -577. Suppose 2/7*n**r - 2/7 + 2/7*n - 2/7*n**3 = 0. Calculate n.
-1, 1
Let y(g) be the second derivative of -g**7/24 + g**6/60 + 217*g**5/80 - 17*g**4/3 + 5*g**3/2 + 574*g. Solve y(t) = 0.
-6, 0, 2/7, 1, 5
Let k(y) = -663*y**3 + 1377*y**2 - 792*y + 78. Let c(n) = -51*n**3 + 106*n**2 - 61*n + 6. Let r be 815/(-30) - 3/(-18). Let d(s) = r*c(s) + 2*k(s). Factor d(m).
3*(m - 1)**2*(17*m - 2)
Let u = -14 + 14. Suppose -3*f + 2*b = -12, u = -5*f + b + b + 20. Factor n**f + 12*n**4 - 9*n**4.
4*n**4
Let i(l) = l**2 + l + 1. Let n be -1 - (3 - (-8)/(-4)). Let v(a) = a**2 + 22*a - 98. Let z(c) = n*i(c) + v(c). Factor z(m).
-(m - 10)**2
Factor -80/3 - 2*b**2 + 124/3*b.
-2*(b - 20)*(3*b - 2)/3
Let d = 148 + -141. Factor l**3 + 3293*l - 3286*l + l**2 + d*l**2.
l*(l + 1)*(l + 7)
Let o be 3 + (0 - 2 - -2). Suppose 3*g = -o*g + 18. Suppose 18/5*v**2 - 2*v**g - 4/5 + 2*v - 14/5*v**4 = 0. Calculate v.
-1, 2/7, 1
Let z(u) be the first derivative of 4*u**3/3 - 12*u**2 + 32*u - 30. Suppose z(a) = 0. What is a?
2, 4
Find i, given that 0*i**2 + 2/5*i**3 + 0*i + 0 - 13/5*i**4 - 3*i**5 = 0.
-1, 0, 2/15
Let f(z) = 13*z**2 + 5*z - 72. Let y(c) = -20*c**2 - 8*c + 108. Let v(i) = -8*f(i) - 5*y(i). Solve v(u) = 0 for u.
-3, 3
Let g(h) be the first derivative of -h**3/3 - 7*h**2/2 - 6*h + 9. Factor g(v).
-(v + 1)*(v + 6)
Let k = 133477/8007 - 9/2669. Find t, given that -k + 20/3*t - 2/3*t**2 = 0.
5
Let w(i) = -3*i**3 + 411*i**2 + 3*i + 3. Let h(k) = -3*k**3 + 411*k**2 + 4*k + 4. Let q(m) = -3*h(m) + 4*w(m). Find d, given that q(d) = 0.
0, 137
Suppose 4*o - 5*a - 89 = 0, 21*a + 58 = 3*o + 26*a. Let t be (-25)/(-15) + 28/o. What is b in -123*b**2 - 78*b - 12 - 27/2*b**4 - 141/2*b**t = 0?
-2, -1, -2/9
Suppose 4*q - 5*c + 7 = 0, -5*q = -0*q + 4*c - 22. Suppose -4*r - 5*b + 5 = 18, -b = -3*r + 14. Suppose 4*s**3 + 17*s - 13*s + 8*s**q + 0*s**r = 0. What is s?
-1, 0
Let d(s) = 3*s - 6. Suppose -3 = 3*l, 8*l = b + 9*l - 2. Let m be d(b). Factor 0*k + 1/2*k**4 + 0 + 3*k**m + 9/2*k**2.
k**2*(k + 3)**2/2
Suppose 85 = 47*g - 9. Let t(d) be the second derivative of d**4 + 4*d + 1/5*d**5 + 2*d**g + 0 + 2*d**3. Determine x, given that t(x) = 0.
-1
Find r, given that -36 + 13*r**2 - 3*r**2 - 7*r**2 + 33*r = 0.
-12, 1
Suppose 45*t = 69*t. Factor t + g + 5/4*g**3 + 2*g**2 + 1/4*g**4.
g*(g + 1)*(g + 2)**2/4
Let t(j) be the third derivative of j**8/1680 + j**7/240 + j**6/80 - j**5/20 - 10*j**2. Let k(g) be the third derivative of t(g). Solve k(y) = 0.
-1, -3/4
Let h = 113 - 109. Let b(i) be the second derivative of -1/100*i**5 - 1/10*i**4 + 0 + h*i + 0*i**2 - 3/10*i**3. Factor b(p).
-p*(p + 3)**2/5
Let z(h) be the first derivative of -h**4 - 32*h**3 - 330*h**2 - 968*h + 23. Determine i so that z(i) = 0.
-11, -2
Let g = -914 + 91401/100. Let s(i) be the third derivative of 0*i**4 + 0*i + 0*i**3 + 6*i**2 - g*i**5 + 1/200*i**6 + 0. Find c, given that s(c) = 0.
0, 1
Let z(p) be the third derivative of p**5/60 - p**4/3 - 10*p**3/3 + 227*p**2. Factor z(b).
(b - 10)*(b + 2)
Let w(d) be the first derivative of -1/20*d**5 + 6 + 1/2*d + 3/8*d**2 - 3/16*d**4 - 1/12*d**3. Determine i, given that w(i) = 0.
-2, -1, 1
Let c be (0 - -1)/((-1)/1). Let p(l) = 23*l**3 - 61*l**3 + 37*l**3. Let x(w) = 28*w**3 - 15*w**2 - 9*w - 1. Let t(s) = c*x(s) - 3*p(s). Factor t(r).
-(r - 1)*(5*r + 1)**2
Let k(b) = 8*b**3 + b**2 + 6*b**3 - 1 - 15*b**3. Let s(i) = -2*i**3 + 2*i - 3. Let v(p) = 3*k(p) - s(p). Factor v(j).
-j*(j - 2)*(j - 1)
Let z(i) be the third derivative of i**6/80 - 3*i**5/40 + i**3 + 84*i**2. Factor z(x).
3*(x - 2)**2*(x + 1)/2
Factor 439 - 435*r**3 - 670*r + 433*r**3 + 338*r**2 - 105.
-2*(r - 167)*(r - 1)**2
Let o(v) be the first derivative of -3*v**5/10 - 21*v**4/4 - 24*v**3 + 21*v**2/2 + 147*v/2 - 47. Suppose o(f) = 0. What is f?
-7, -1, 1
Let i(u) = -10*u**3 + 62*u**2 - 92*u + 16. Let z(n) = -5*n**3 + 31*n**2 - 46*n + 8. Let b(k) = -3*i(k) + 7*z(k). Determine a so that b(a) = 0.
1/5, 2, 4
Let f(o) be the first derivative of 2*o**6/3 - 4*o**5/5 - 2*o**4 + 180. Factor f(k).
4*k**3*(k - 2)*(k + 1)
Let g be 316*1 - (5 - 2). Suppose -121 = 6*o - g. Solve 12*n - n + o + 2*n**2 + 5*n = 0 for n.
-4
Let s = -12 - -16. Let v(m) = m**2 + 2*m - 3. Let g be v(2). Factor 9*y**4 + 1 - 2*y**3 + 2*y**5 - y**4 - s*y**2 - g*y**4.
(y - 1)*(y + 1)**3*(2*y - 1)
Let a(r) = -r**3 + 10*r**2 + 25*r - 12. Let n be a(12). Let u(z) be the third derivative of n*z**3 + 1/60*z**5 - 1/24*z**4 + 0 + 4*z**2 + 0*z. Factor u(s).
s*(s - 1)
Let t(m) be the first derivative of -3*m**5/25 - 3*m**4/5 - 750. What is p in t(p) = 0?
-4, 0
Let c = 33 - 29. Factor 6*q**4 - 4*q**5 + 5*q**c - 19*q**4.
-4*q**4*(q + 2)
Let b = -1/68 + 9/34. Let g be (-3 + (-30)/(-9))/(4/6). Factor w**2 - b*w**3 + g - 5/4*w.
-(w - 2)*(w - 1)**2/4
Let h(y) = 7*y**3 + 12*y**2 + 2*y. Let d(v) = 22*v**3 + 36*v**2 + 5*v. Let o be 7/2*(-4 - (-10)/1). Let u(x) = o*h(x) - 6*d(x). Suppose u(b) = 0. What is b?
-2, -2/5, 0
Let g(r) = r**5 - r**4 + r. Let l(d) = 14*d**3 - 6*d**4 + 9*d**5 + 2*d**5 + 11*d - 24*d**3. Let a(v) = -6*g(v) + l(v). Factor a(m).
5*m*(m - 1)**2*(m + 1)**2
Let j = 5660/7 - 808. Factor j*o**3 + 32/7 + 24/7*o**2 + 48/7*o.
4*(o + 2)**3/7
Let x = -142490/11 + 12954. Solve -2/11*s + 2/11*s**5 + 0 + 4/11*s**4 + 0*s**3 - x*s**2 = 0.
-1, 0, 1
Let m(q) = -11*q**3 - 2*q**2 + 4*q - 3. Let h be m(1). Let p be 0/(((-8)/h)/((-4)/6)). Solve 1/2*i**5 + 0*i**2 + 1/2*i**3 + 0*i + i**4 + p = 0 for i.
-1, 0
Suppose 0