ive of f**4/30 - 2*f**3/15 - 3*f**2/5 - 7*f + 5. Let r(g) be the first derivative of l(g). Suppose r(u) = 0. What is u?
-1, 3
Suppose -o - 184 + 179 = 2*g, 5*g + 20 = 0. Suppose -9/7*c**5 + 9/7*c**o + 0 + 0*c - 3/7*c**2 + 3/7*c**4 = 0. What is c?
-1, 0, 1/3, 1
Let a(z) be the third derivative of z**7/315 + z**6/12 + z**5/9 - 5*z**4/3 - 56*z**3/9 - z**2 + 133. Solve a(o) = 0 for o.
-14, -2, -1, 2
Let a(i) be the first derivative of 2/11*i**3 + 0*i**2 + 0*i - 1/22*i**4 - 13. Find g, given that a(g) = 0.
0, 3
Let i(h) be the first derivative of 5/3*h**3 - 25*h**2 - 10 + 125*h. Factor i(t).
5*(t - 5)**2
Factor 0 - 6*w**2 + 0*w + w**3 + 4/3*w**4 - 1/3*w**5.
-w**2*(w - 3)**2*(w + 2)/3
Let s(b) be the second derivative of -b**4/48 + 7*b**3/24 - 5*b**2/4 + 36*b. Determine y, given that s(y) = 0.
2, 5
Let n(t) be the second derivative of 3*t**7/70 + t**6/75 - 27*t**5/50 - 7*t**4/5 - 43*t**3/30 - 3*t**2/5 + t + 111. Factor n(k).
(k - 3)*(k + 1)**3*(9*k + 2)/5
Suppose -4*u - 8 = -8*u. What is m in -4*m**2 + 5*m**3 - 3*m**3 + 10*m**u + 2 + 6*m = 0?
-1
Let q(p) be the second derivative of -1/45*p**6 + 0*p**3 + 0*p**2 + 3*p - 1/189*p**7 - 1/54*p**4 + 0 - 1/30*p**5. What is a in q(a) = 0?
-1, 0
Solve -2208/5*y - 1/5*y**3 + 2304/5 - 19*y**2 = 0.
-48, 1
Let a(d) be the first derivative of d**4/4 - d**3/3 - d - 17. Let l(v) = v**3 + 7*v**2 - 14*v + 3. Let w(c) = -3*a(c) + l(c). Solve w(g) = 0 for g.
1, 3
Factor 58*o**4 - 112*o**3 - 62*o**4 + 176*o**2 - 960*o**2.
-4*o**2*(o + 14)**2
Let w(c) = 6*c**3 + 63*c**2 - 32*c + 14. Let u be w(-11). Factor -3/5*j**u + 0*j**2 + 0 + 3/5*j.
-3*j*(j - 1)*(j + 1)/5
Let b(a) be the second derivative of -a**6/45 + a**5/15 + 10*a**4/9 + 8*a**3/3 - 69*a. Factor b(p).
-2*p*(p - 6)*(p + 2)**2/3
Suppose p = 1 + 2, -5*o = 3*p - 44. Let d be o/((-14)/6) - 10/(-3). Factor d*r - 2/3 + 1/3*r**2.
(r - 1)*(r + 2)/3
Let h = -32 - -35. Suppose -4*a = -h*a - 2. Factor 3/4*p**a + 3/4 + 3/2*p.
3*(p + 1)**2/4
Let r(f) be the third derivative of f**7/42 - 11*f**6/24 + 31*f**5/12 - 35*f**4/8 + 4*f**2 - 13. Factor r(t).
5*t*(t - 7)*(t - 3)*(t - 1)
Let k(l) = -l**2 + 3*l + 12. Let i be 7 + (-5 - -1) + 2. Let z be k(i). Factor 0*p**2 - p + p**2 + p**z - p.
2*p*(p - 1)
Let b = 5086 - 5082. Suppose 16/3*r**3 - 4/3*r - 10/3*r**b - 2/3*r**2 + 0 = 0. Calculate r.
-2/5, 0, 1
Let o(g) = -g**4 + g**2 + g + 1. Let d(f) = -6*f**4 + 2*f**3 + 6*f**2 + 3*f + 5. Let x = 29 - 24. Let w(s) = x*o(s) - d(s). Factor w(c).
c*(c - 2)*(c - 1)*(c + 1)
Suppose 2*u = 4*u - 8. Solve 4*a**5 - 4 + 10*a**4 - 8*a**2 - 3*a + 8*a**3 - 4*a**u + 6*a**4 - 9*a = 0 for a.
-1, 1
Let r(y) be the first derivative of -2*y**3/3 + 10*y**2 - 18*y - 97. Determine h, given that r(h) = 0.
1, 9
Find i, given that -8/7*i - 2/7*i**5 + 20/7*i**2 + 10/7*i**3 - 4/7*i**4 - 16/7 = 0.
-2, -1, 1, 2
What is g in 0*g**2 + 8/5*g**4 + 27/5*g - 18/5*g**3 - 1/5*g**5 + 0 = 0?
-1, 0, 3
Let l(n) be the third derivative of n**5/40 - 113*n**4/16 - 221*n**2. Determine w, given that l(w) = 0.
0, 113
Solve -15*z**3 + 18 - 48*z + 87/2*z**2 + 3/2*z**4 = 0.
1, 2, 6
Determine y, given that 1/3*y**3 + 28/3 + 17/3*y**2 + 44/3*y = 0.
-14, -2, -1
Let l(m) be the third derivative of 0 + 0*m + 0*m**4 + 1/490*m**7 + 5*m**2 + 0*m**3 + 3/140*m**5 + 1/784*m**8 - 1/56*m**6. Find v, given that l(v) = 0.
-3, 0, 1
Let y(p) be the second derivative of -p**6/2880 + p**5/960 + 7*p**3/6 + 13*p. Let c(o) be the second derivative of y(o). Factor c(q).
-q*(q - 1)/8
Let w(q) be the second derivative of q**6/75 - q**5/50 - 4*q**4/15 + 4*q**3/5 + 67*q - 1. Find f, given that w(f) = 0.
-3, 0, 2
Suppose 0 = -m + 4*d + 8, 8*d = 11*d + 9. Let x be ((-1)/m)/(18/288). Find y such that 4/3 + 6*y**2 - 2/3*y**3 + 6*y - 2*y**x = 0.
-1, -1/3, 2
Let d = 29/42 - 5/14. Let n(h) be the third derivative of 0 - 2*h**2 + 0*h - d*h**3 - 1/6*h**4 - 1/30*h**5. Suppose n(m) = 0. What is m?
-1
Let a(z) be the third derivative of z**5/12 - 5*z**4/6 + 12*z**2 + 1. Let a(n) = 0. Calculate n.
0, 4
Let y be -6*8/(-4) - 7 - 1. Let q(m) be the second derivative of -2*m + 5832/5*m**5 + 192*m**3 + 0 - 648*m**y - 4374/5*m**6 - 32*m**2. Factor q(l).
-4*(9*l - 2)**4
Let b(u) = -u + 16. Let x be b(4). Suppose -4*z + 9 = -z, 4*z + 13 = 5*r. Solve -r*c + c + 8*c**4 - x*c**3 + 3*c**2 + 5*c**2 + 2*c - 2*c**5 = 0.
0, 1
Let a(q) be the first derivative of -81*q**4/16 + 57*q**3/2 - 73*q**2/8 + q - 129. Suppose a(d) = 0. What is d?
1/9, 4
Factor 39/2*z**2 - 24*z + 9/2.
3*(z - 1)*(13*z - 3)/2
Let y(h) be the first derivative of 5/2*h**2 + 1/6*h**3 + 26 + 25/2*h. Find v such that y(v) = 0.
-5
Let w = -13 - -15. Let k = 47/122 - -7/61. Factor 0 + 0*q + 1/4*q**3 + k*q**w.
q**2*(q + 2)/4
Let w(y) be the third derivative of 1/80*y**5 + 0*y**3 + 0 + 9*y**2 + 0*y + 1/96*y**6 - 1/48*y**4. Factor w(t).
t*(t + 1)*(5*t - 2)/4
Let t(i) be the third derivative of 2*i**7/735 - i**6/210 + i**5/420 - 21*i**2. Factor t(q).
q**2*(2*q - 1)**2/7
Suppose -3*o = -7*o + 72. Factor -5*q + 2*q - q**2 + 4*q**2 - o.
3*(q - 3)*(q + 2)
Suppose -3*y - 6 = -12. Find v such that -2 - 3*v**y - 8*v - 7*v**2 + 6*v**2 + 14 = 0.
-3, 1
Factor 0*y - 18/7 + 2/7*y**2.
2*(y - 3)*(y + 3)/7
Let z = -1030 + 1036. Let f(k) be the second derivative of -22*k**3 - z*k**2 - 161/4*k**4 + 0 + 5*k - 147/5*k**5. Factor f(x).
-3*(4*x + 1)*(7*x + 2)**2
Suppose 0*j - 7*j = 5*j. Let s(a) be the second derivative of -1/9*a**2 + j + 1/54*a**4 + 0*a**3 - 2*a. Factor s(d).
2*(d - 1)*(d + 1)/9
Let t(c) be the first derivative of 0*c - 3/35*c**5 + 18 + 1/7*c**3 - 6/7*c**2 + 3/7*c**4. Suppose t(s) = 0. What is s?
-1, 0, 1, 4
Let p(z) be the second derivative of z**6/135 - z**5/90 - z**4/54 + z**3/27 + 207*z. Factor p(d).
2*d*(d - 1)**2*(d + 1)/9
Factor -5/6*i**3 - 665/6*i**2 + 0 + 0*i.
-5*i**2*(i + 133)/6
Let l be (-8)/10*50/(-20). Factor 0*w - 36*w**l - 49*w**3 - 23*w**3 + 8*w.
-4*w*(3*w + 2)*(6*w - 1)
Let h(g) be the third derivative of -g**6/540 + 7*g**5/270 + 10*g**4/27 + 44*g**3/27 + 227*g**2. Factor h(t).
-2*(t - 11)*(t + 2)**2/9
What is h in 2*h**2 - h + 55 + h**2 - 58 + 3*h**3 - 2*h = 0?
-1, 1
Let q be 1 + (-3 + 1)*(-6)/12. Suppose 0 = q*b - 17 + 11. Factor -5/4*r**b - 3*r**2 - r + 0.
-r*(r + 2)*(5*r + 2)/4
Let q(j) be the second derivative of -j**6/255 + 9*j**5/170 - 4*j**4/17 + 16*j**3/51 - 3*j - 75. Solve q(m) = 0.
0, 1, 4
Let 3/7*j**2 + 9/7*j + 0 = 0. What is j?
-3, 0
Let q(s) be the third derivative of s**6/24 - 5*s**4/8 - 5*s**3/3 - 78*s**2 + 2*s. Suppose q(y) = 0. Calculate y.
-1, 2
Let j(b) = -b**3 - 7*b**2 - 10*b - 21. Let k be 28/(-21)*15/2 - -4. Let d be j(k). Determine y, given that 0*y + 0 + 1/8*y**4 + 1/8*y**d + 0*y**2 = 0.
-1, 0
Let k(l) be the first derivative of -4*l**3/9 - 16*l**2/3 - 16*l - 109. Factor k(z).
-4*(z + 2)*(z + 6)/3
Let c(y) be the second derivative of 1/3*y**4 - 10*y + 0 - 2/3*y**3 - 4*y**2. Solve c(p) = 0 for p.
-1, 2
Let u(h) = 1 - 3*h**2 + 10 - 8. Suppose -16 = -f + 3*b + 2*b, -3*b = 6. Let s(x) = 2*x**2 - 2. Let j(i) = f*s(i) + 5*u(i). Let j(r) = 0. Calculate r.
-1, 1
Let h = 82 + -323/4. Let a = 3/2 - h. Factor 0 + a*f**2 - 3/4*f.
f*(f - 3)/4
Let i(x) be the second derivative of -1/20*x**5 + 0 - x + 1/6*x**3 + 3/2*x**2 - 1/4*x**4. Factor i(v).
-(v - 1)*(v + 1)*(v + 3)
Suppose -30*d + 29*d + 20 = 5*c, 34 = 3*c + 5*d. Let k(a) be the third derivative of -3*a**2 - 1/2*a**c + 1/4*a**4 + 0*a + 0 - 1/20*a**5. Factor k(j).
-3*(j - 1)**2
Let m(g) be the first derivative of g**2/2 + 3. Let x(v) be the first derivative of -v**3/3 + 2*v**2 + 2*v - 4. Let r(u) = 3*m(u) - x(u). Solve r(d) = 0.
-1, 2
Let j(z) = -z**2 + 10*z - 9. Let p(n) = 14*n - 13*n + 9 - 5*n - 5*n. Let o(r) = 3*j(r) + 2*p(r). Find d such that o(d) = 0.
1, 3
Let j(l) be the second derivative of l**4/24 - 7*l**3/12 - 2*l - 21. Factor j(t).
t*(t - 7)/2
Let n = -1/372 + 4471/2604. Let b be (((-207)/115)/(-1))/(21/25). Suppose -24/7*i**2 + n*i - 3/7*i**4 + 0 + b*i**3 = 0. What is i?
0, 1, 2
Let g = -18 + 26. Let d = 10 - g. Factor -64*t**2 + 60*t**d + t + 2*t**3 + t.
2*t*(t - 1)**2
Let j(i) = -3*i - 2. Let u(f) = 2*f + 3. Let d(t) = 3*j(t) + 4*u(t). Let z be d(4). Factor -14 + 0*m**2 + 13 - m**z - 2*m.
-(m + 1)**2
Let q(d) be the first derivative of 4*d**3/3 + 760*d**2 + 144400*d - 199. Factor q(z).
4*(z + 190)**2
Let y(t) be the first derivative of 1/6*t