94*w - 50. Let r(f) = 3*d(f) + 2*v(f). Suppose r(i) = 0. What is i?
-4/11, 2/13
Let c(l) be the third derivative of -3*l**6/160 - 11*l**5/40 - 7*l**4/32 + 49*l**2 - 2. Factor c(z).
-3*z*(z + 7)*(3*z + 1)/4
Let v(d) be the third derivative of 0 + 0*d**3 + 0*d + 1/72*d**4 - 1/180*d**5 - 1/360*d**6 + 1/630*d**7 - 16*d**2. What is i in v(i) = 0?
-1, 0, 1
Let f be (0 - (-6)/(-7))*14/(-3). Factor 0*x**2 + 1 + 4*x**5 + 3*x**2 + 4*x**4 - 11*x**2 - 2*x - 2*x**3 + 3*x**f.
(x - 1)*(x + 1)**3*(4*x - 1)
Let r(t) = 14*t**3 + 19*t**2 + 20*t - 5. Let n(x) = -12*x**3 - 20*x**2 - 20*x + 4. Let c(k) = 5*n(k) + 4*r(k). Solve c(l) = 0.
-5, -1, 0
Let d(l) = l**2 - 5*l + 6. Let j be d(4). Let -8 - 2*u**j + 2*u - 2*u + 5*u + 3*u = 0. Calculate u.
2
Let c be (3 + -7)*12/(-16). Let y(m) be the first derivative of 2/27*m**c - 2/9*m**2 + 1 + 0*m + 1/18*m**4. Factor y(a).
2*a*(a - 1)*(a + 2)/9
Let z(k) be the second derivative of k**5/20 + k**3/6 - k**2/2 + 8*k. Let d(o) = -21*o**3 + 9*o**2 - 27*o + 21. Let v(i) = -d(i) - 18*z(i). Factor v(u).
3*(u - 1)**3
Suppose 5*h = -3 + 13. Let n be 4/(-18) + -9 + (-440)/(-36). Find f, given that -7*f**n - 4*f**h - 7*f**3 + 4*f**3 + 2*f + 8*f + 4 = 0.
-1, -2/5, 1
Let s be -3 + (-1 - -2) + -10 + -44. Let m = 169/3 + s. What is f in 2/3*f**3 - 2/3*f**2 + f**4 - 1/3 + m*f**5 - f = 0?
-1, 1
Let g = 36/19 - 66/95. Let i(l) be the third derivative of 4/15*l**6 + 9/4*l**3 + 0*l + 9/4*l**4 - 3*l**2 + g*l**5 + 0. Find d, given that i(d) = 0.
-3/4
Let g = 2 - -1. Let b(d) = 3*d - 7. Let p be b(g). Factor -p*c**3 + 3*c**2 + 0*c**2 - c + 2*c**2 - 2*c**3.
-c*(c - 1)*(4*c - 1)
Let n(a) = -a**3 + 2*a**2 + 2*a. Let j(v) = 7*v**3 - 26*v - 24. Let o(q) = j(q) + 5*n(q). Factor o(m).
2*(m - 2)*(m + 1)*(m + 6)
Let p = -3096 - -3098. Determine y so that -8/11 - 2/11*y**p - 10/11*y = 0.
-4, -1
Let r(t) = 11*t**3 + 111*t**2 + 7*t - 27. Let j be r(-10). Factor 16/5 + 12/5*b**2 + 2/5*b**j + 24/5*b.
2*(b + 2)**3/5
Factor -5*f**4 - 2651*f**2 - 6*f**3 + 2648*f**2 + 2*f**4.
-3*f**2*(f + 1)**2
Factor 44*f**2 + 36*f + 3*f**3 - 80*f**2 - 75*f.
3*f*(f - 13)*(f + 1)
Factor -84*h**3 + 160*h**3 - 72*h**2 - 3*h**4 - 48 - 96*h - 100*h**3.
-3*(h + 2)**4
Let u = -253 + 3290/13. Let p(b) be the first derivative of -2/39*b**3 - 4 + 0*b + u*b**2. Factor p(f).
-2*f*(f - 1)/13
Let c be 26/(-16)*(-9384)/3519. Factor -c*w - 1/3*w**2 - 4.
-(w + 1)*(w + 12)/3
Let d = 1508/9 - 502/3. Find c, given that -10/9*c**3 + d*c + 0 - 8/9*c**2 = 0.
-1, 0, 1/5
Let f(u) be the third derivative of -u**7/120 + 3*u**6/160 + 11*u**5/24 - 3*u**4/2 + 4*u**3/3 - 259*u**2. Solve f(a) = 0 for a.
-4, 2/7, 1, 4
Let f(z) be the second derivative of -z**6/15 - 2*z**5/15 + 29*z**4/18 - 14*z**3/9 - 8*z**2/3 + 9*z - 3. Suppose f(a) = 0. What is a?
-4, -1/3, 1, 2
Suppose -1334 = 3*h - 242. Let z be h/(-55) - 4/(-22). Solve 0 + 0*t + z*t**4 + 8/5*t**2 + 2*t**5 + 32/5*t**3 = 0.
-2, -1, -2/5, 0
Let o = 293994/7 - 41998. Solve -6/7*f + o*f**2 - 2/7 = 0.
-1/4, 1
Solve -3/8*u**5 - 3/2*u**3 + 0*u + 9/2*u**2 + 0 - 21/8*u**4 = 0.
-6, -2, 0, 1
Let s(w) be the third derivative of w**6/50 - 93*w**5/100 + 111*w**4/40 - 11*w**3/5 - w**2 - 175. Let s(t) = 0. What is t?
1/4, 1, 22
Let z = 33 - 49. Let q be -3*z/12 - 1. Factor 0*a**q - 12*a**3 + 6*a**5 - 2*a**5 - 8*a**2.
4*a**2*(a - 2)*(a + 1)**2
Let n(r) = -2*r**5 + 30*r**4 + 16*r**3 - 30*r**2 - 26*r + 6. Let h(u) = u**5 - u**4 + u**2 + u - 1. Let c(s) = 6*h(s) + n(s). Factor c(z).
4*z*(z - 1)*(z + 1)**2*(z + 5)
Let d = -83 - -71. Let s be (-7)/4 - 24/d. Factor -s + 3/4*m + m**2.
(m + 1)*(4*m - 1)/4
Let u(t) = -t**4 + 5*t**3 + 2*t**2 + 5*t + 9. Let n(m) = m**3 + m + 2. Let a(x) = 15*n(x) - 3*u(x). Factor a(p).
3*(p - 1)**2*(p + 1)**2
Suppose 0 = -s - s + 6. Factor 1/4*a**2 + 0*a**s - 1/4*a**4 + 0 + 0*a.
-a**2*(a - 1)*(a + 1)/4
Let m(a) be the third derivative of a**5/12 + 115*a**4/24 - 6*a**2 - 3. Factor m(z).
5*z*(z + 23)
Let j(g) = g**3 + 30*g**2 - 300*g + 155. Let b be j(-38). Determine f so that 0 - 3/7*f**b - 108/7*f - 36/7*f**2 = 0.
-6, 0
Let d(k) = -k + 12. Let r be d(-12). Let t be (-7)/(-4) + 6/r. Factor y**t - 3*y - y + 4*y.
y**2
Let a be 2*(3/(-6))/(1/(-3)). Suppose -5*v**a + 8*v**2 - 28*v**5 - 11*v**3 + 4*v**3 - 4*v**4 - 44*v**4 = 0. What is v?
-1, 0, 2/7
Factor 2/5*s**2 + 232/5 - 24*s.
2*(s - 58)*(s - 2)/5
Let t(v) = -v**2 - 1. Let z(q) = 4*q**2 + 23*q + 39. Let h(m) = m**2 + 6*m + 10. Let x(g) = 22*h(g) - 6*z(g). Let l(d) = -5*t(d) + x(d). Factor l(a).
3*(a - 3)*(a + 1)
Let s(m) = -3*m**3 - 9*m**2. Let u be (-2)/(-6) + ((-26)/(-3))/(-2). Let l(p) = -p**3 - 4*p**2. Let w(v) = u*s(v) + 9*l(v). Find b, given that w(b) = 0.
0
Let u(s) = -s**3 + s**2 - 1. Let i(o) = o**4 + 10*o**3 + 31*o**2 - 11. Let j(b) = -2*i(b) + 22*u(b). Factor j(n).
-2*n**2*(n + 1)*(n + 20)
Let r be (-3)/7 + 6/(-21)*-26. Let z be (-111)/(-18) + (r/2)/7. Solve -4/3 - z*k**3 + 10/3*k + 10/3*k**5 + 8/3*k**2 - 4/3*k**4 = 0.
-1, 2/5, 1
Let x(j) = 3*j**5 - 6*j**4 + 5*j**3 - 2*j - 2. Let s(k) = -10*k**5 + 19*k**4 - 16*k**3 + 2*k**2 + 5*k + 7. Let o(u) = 6*s(u) + 21*x(u). Factor o(z).
3*z*(z - 2)**2*(z - 1)*(z + 1)
Let s = -1040 + 1043. Factor 1/6*c**2 - 1/3 + 1/6*c**4 + 1/2*c**s - 1/2*c.
(c - 1)*(c + 1)**2*(c + 2)/6
Let h(t) be the third derivative of 0*t + 15*t**2 - 6*t**3 - 1/15*t**5 + 0 - t**4. What is g in h(g) = 0?
-3
Suppose 3*g + 2*o - 26 = 0, -6*g - 19 = -8*g - o. Suppose g*m - 73 = -25. Factor 2/3*p**2 - 8/9 - 2/9*p**m + 4/9*p**3 - 8/9*p.
-2*(p - 2)**2*(p + 1)**2/9
Suppose -k + g = 104, 3*k - 5*g = -3*g - 315. Let h = -105 - k. Determine q, given that 2/9*q + 8/9*q**3 + 0 + 8/9*q**h = 0.
-1/2, 0
Factor 416/9*q - 185/9*q**2 - 256/9 + 25/9*q**3.
(q - 1)*(5*q - 16)**2/9
Let w be -2*(-121)/44 + -3. Factor 405/2 - 45*v + w*v**2.
5*(v - 9)**2/2
Factor -14/9*p - 16/9 + 2/9*p**2.
2*(p - 8)*(p + 1)/9
Factor -3/2*m**2 - 6 + 15/2*m.
-3*(m - 4)*(m - 1)/2
Solve 2*b**2 + b**4 + 5 + 4*b**4 + 0*b**2 - 12*b**2 = 0 for b.
-1, 1
Suppose -8776*u**3 + 0*u**4 + 24 + 8780*u**3 + 4*u**4 - 4*u - 28*u**2 = 0. Calculate u.
-3, -1, 1, 2
Let j(v) = -9*v**3 + 31*v**2 + 100*v - 132. Let k(u) = 8*u**3 - 32*u**2 - 100*u + 132. Let g(t) = -4*j(t) - 5*k(t). Factor g(f).
-4*(f - 11)*(f - 1)*(f + 3)
Let p(q) be the second derivative of -450*q**6 + 5670*q**5 - 3660*q**4 + 2896*q**3/3 - 128*q**2 - 24*q - 2. Factor p(a).
-4*(a - 8)*(15*a - 2)**3
Let a be (2 + 18)*(-6)/4. Let d be (1/(14/3))/(a/(-40)). Solve 6/7*h + 6/7*h**2 + 2/7 + d*h**3 = 0.
-1
Let p(h) be the second derivative of -5*h**7/42 - h**6/2 + h**5/4 + 5*h**4/4 + 8*h + 7. Solve p(c) = 0.
-3, -1, 0, 1
Let z be (2 + 1)/(1/(-34)). Let s = -55 - z. Solve -5*x**3 + 15*x**2 + 23*x + 2*x**3 - s*x + 20 - 8 = 0.
1, 2
Let h be (-78)/(-8) + (-5)/(-20). Let s = h - 8. Suppose s*d - 4*d + 4*d**2 + 11*d**2 + 8*d = 0. Calculate d.
-2/5, 0
Let v(l) be the first derivative of -l**4/18 + l**3 + 10*l**2/3 - 35*l - 22. Let p(n) be the first derivative of v(n). Let p(j) = 0. What is j?
-1, 10
Let m = -5957 + 5961. Find b such that 1/2*b**m + 2*b**3 - 2*b**2 - 1/2*b**5 + 0 + 0*b = 0.
-2, 0, 1, 2
Let c(x) be the second derivative of x**4/3 - 22*x**3/3 - 24*x**2 + 25*x. Solve c(t) = 0 for t.
-1, 12
Let m(s) be the third derivative of -s**6/30 - 2*s**5/3 - 29*s**4/6 - 40*s**3/3 + 3*s**2 + 25*s. Suppose m(p) = 0. What is p?
-5, -4, -1
Let r(s) = 2*s + 6. Let j be r(-6). Let p be (-3)/j - 1/6. Factor -1/3*c - 2/3 + p*c**2.
(c - 2)*(c + 1)/3
Determine f, given that -7/3*f**2 - 4 + 1/3*f**3 + 16/3*f = 0.
2, 3
Suppose -18 = -5*u - 4*z, -z + 14 = -2*u + 16. Factor 0*x**3 + 0 + 2/3*x - 4/3*x**u + 4/3*x**4 - 2/3*x**5.
-2*x*(x - 1)**3*(x + 1)/3
Let b(f) = -38 - 16*f - 53 + 24 + 2*f**2. Let p(z) = -5*z**2 + 32*z + 135. Let h(x) = 14*b(x) + 6*p(x). Find v such that h(v) = 0.
-8
Let x be 602/126 + 4/18. Suppose 5*q - 11 = -3*v, -x*v + v + 3*q + 5 = 0. Factor -7 + 3 - 2*l**2 + 4*l**v - l**2.
(l - 2)*(l + 2)
Solve 12*g**3 + 9/5*g**4 + 54/5*g + 0 + 117/5*g**2 = 0.
-3, -2/3, 0
Suppose -6 = -v - 2*p + 39, 0 = v + p - 48. Suppose 4*u + 15 = v. Solve -2*w**4 + 3*w + 3*w**3 - w**4 + 6*w**3 - u*w**2 = 0.
0, 1
Factor 4/17*o - 6/17 + 2/17*o**2.
2*(o - 1)*(o + 3)/17
Let o(c) be the third derivative of -1/540*c**6 + 1/54*c**5 + 0*c - 7/108*c**4 + 12*c**2 + 1/9*c**3 + 0. Determine i so that o(i) = 0.
1, 3
Let z(x) be 