ive of u**4/4 + 11*u**3/3 - 63. Solve z(k) = 0 for k.
-11, 0
Factor 4/5*s**4 + 0*s - 64/5*s**3 + 0 - 68/5*s**2.
4*s**2*(s - 17)*(s + 1)/5
Let m(b) be the third derivative of -b**6/96 - 5*b**5/24 + 5*b**4/96 + 25*b**3/12 + 15*b**2 - b. Factor m(v).
-5*(v - 1)*(v + 1)*(v + 10)/4
Find a, given that -22/3*a**3 + 0 - 12*a - 14/3*a**5 - 22*a**4 + 46*a**2 = 0.
-3, 0, 2/7, 1
Solve 1064*i**5 - 4*i**4 + 392*i**2 + 686*i + 1059*i**5 + 44*i**4 - 252*i**3 - 2125*i**5 = 0.
-1, 0, 7
Let x = -48 + 51. Factor 14*p**4 + 4*p**4 + 4*p**x - 20*p**4.
-2*p**3*(p - 2)
Let c be (2 + (-92)/52)/(22 + 570/(-26)). Suppose -10/3*d + 5/3*d**2 + 5/6*d**c - 1/2*d**4 + 4/3 = 0. What is d?
-2, 2/3, 1, 2
Let p(t) be the first derivative of -t**8/840 + t**7/420 + t**6/90 - 4*t**3 - 21. Let d(u) be the third derivative of p(u). Solve d(y) = 0 for y.
-1, 0, 2
Suppose 3*l - 2*o + 2 = 0, -5*l + 10*l = 3*o - 2. Let p(c) = c + 1. Let g(k) = k**2 - k + 1. Let d(w) = l*g(w) + 14*p(w). Solve d(q) = 0.
-4, -2
Let j(h) be the first derivative of -4*h**3/21 + 22*h**2/7 + 48*h/7 - 87. Factor j(p).
-4*(p - 12)*(p + 1)/7
Let w = 12 + -2. Suppose -5*q**3 - 55*q**3 - 100*q**2 + 75*q**2 + 20*q**5 + w*q - 5*q**4 = 0. What is q?
-1, 0, 1/4, 2
Suppose -52*o + 167 = -353. Let k(n) be the first derivative of -o + 0*n - 3/4*n**2 - 5/4*n**3. Find t such that k(t) = 0.
-2/5, 0
Let n(o) = -2*o**2 - 11*o + 1. Let c be (-6)/108*-40 + 2/(-9). Let r(g) = g**2 + 5*g. Let l(a) = c*n(a) + 5*r(a). What is w in l(w) = 0?
-2, -1
Let f(h) be the first derivative of -h**6/6 - 3*h**5/5 + 5*h**4/4 + 9*h**3 + 16*h**2 + 12*h - 126. Determine x, given that f(x) = 0.
-2, -1, 3
Let c(y) be the second derivative of -1/2*y**2 - 13/48*y**4 - 1/2*y**3 - 1/120*y**6 - 3/40*y**5 + 0 - 12*y. Solve c(v) = 0 for v.
-2, -1
Factor 0*d**2 - 30 + 6*d**4 + 16 - 24*d - 5*d**2 - d**2 + 16*d**3 + 22.
2*(d - 1)*(d + 2)**2*(3*d - 1)
Let 31*m**2 - 2*m**2 - 5*m**2 - 4*m**4 - 12*m**3 + 4*m**3 - 12*m**3 = 0. What is m?
-6, 0, 1
Let s = 9 + -10. Let t(x) = 34*x**2 - x. Let w be t(s). Factor 58*u**2 - 68*u**2 + 5 + w*u - 35*u**3 + 5.
-5*(u - 1)*(u + 1)*(7*u + 2)
Let h be (-75)/30*(-8)/10. Suppose -5 = -h*a - 1. Let 7*g**2 - g**2 - 4 - a*g**2 + 22*g**3 - 22*g = 0. Calculate g.
-1, -2/11, 1
Let k = -42111/4 + 10530. Factor k*n**3 - 23/4*n - 1 - 15/2*n**2.
(n - 4)*(3*n + 1)**2/4
Let k = -400/3 - -3604/27. Let h(b) be the first derivative of -2/45*b**5 + 1 + 1/27*b**6 + 1/9*b**2 + k*b**3 - 2/9*b - 1/9*b**4. Find j such that h(j) = 0.
-1, 1
Suppose 12 = 3*k - y, 0 = k - 249*y + 252*y - 4. Factor -1/10*h**3 + 3/10*h**k - 2/5 + 1/10*h**5 - 6/5*h - 11/10*h**2.
(h - 2)*(h + 1)**3*(h + 2)/10
Let r(t) be the first derivative of 0*t**2 + 0*t + 4/3*t**3 + 14 - 1/2*t**4 - 2/5*t**5. Factor r(l).
-2*l**2*(l - 1)*(l + 2)
Let m(w) be the first derivative of 3*w**4/2 - 15*w**3/2 - 3*w**2 + 601. Suppose m(r) = 0. What is r?
-1/4, 0, 4
Let p(l) be the first derivative of 41 - 4*l + 1/9*l**3 - 2/3*l**2. Suppose p(x) = 0. Calculate x.
-2, 6
Let h be (-24)/(-144) + (-19)/6 + 5. Find u such that 0 - 19/3*u**h - 7/3*u**3 + 2*u = 0.
-3, 0, 2/7
Let z be 13360/(-8350)*10*5/(-28). Let -2/7 - 9/7*o**5 + 13/7*o - 4/7*o**3 - 18/7*o**2 + z*o**4 = 0. What is o?
-1, 2/9, 1
Factor 0*z**2 + 2*z**2 - 12*z + 14 - 20 - 8.
2*(z - 7)*(z + 1)
Suppose -5*f + 4*f = 5*g + 17, 43 = -2*f - g. Let i be f*(5 - (-82)/(-16)). Solve -r + 0 - 7/4*r**5 - 3*r**4 + i*r**3 + 3*r**2 = 0.
-2, -1, 0, 2/7, 1
Let r(i) be the first derivative of -16*i + 1/2*i**4 + 10 + 12*i**2 - 4*i**3. Factor r(y).
2*(y - 2)**3
Let x(a) be the first derivative of a**5/12 - 5*a**4/8 + 23*a**2/2 - 3. Let d(r) be the second derivative of x(r). Find k, given that d(k) = 0.
0, 3
Let m(c) = -2*c**2 + 16*c + 3. Let r be m(8). Find q such that 10*q**2 + 5*q + 0*q + 0*q + 5*q**r = 0.
-1, 0
Solve -13*c**4 + 5*c**4 - 102*c**2 + 30 - 85*c - c**4 + 25*c**2 - 36*c + 65*c**3 = 0.
-1, 2/9, 3, 5
Let x(h) be the second derivative of -h**6/18 + 5*h**5/24 - 5*h**4/24 + 2*h**3/3 - 13*h. Let d(n) be the second derivative of x(n). Factor d(b).
-5*(b - 1)*(4*b - 1)
Let z(m) be the second derivative of m**6/30 + m**5/5 - m**4 - 3*m. Factor z(u).
u**2*(u - 2)*(u + 6)
Let a(o) be the third derivative of -o**6/960 + o**5/160 + o**4/12 + o**3/4 - 74*o**2. Factor a(b).
-(b - 6)*(b + 1)*(b + 2)/8
Factor -1/4*f**2 - 34*f - 1156.
-(f + 68)**2/4
Determine b, given that 13/4*b - 1/4*b**2 + 12 = 0.
-3, 16
Suppose -552*k + 12*k**3 + 698/7*k**2 + 4232/7 + 2/7*k**4 = 0. Calculate k.
-23, 2
Let f(m) be the first derivative of -4*m**3/21 - 22*m**2/7 - 40*m/7 + 270. Find s, given that f(s) = 0.
-10, -1
Let t be (-2)/2 + 98/63. Let w(m) be the first derivative of -1/6*m**4 - 2/9*m - 14/27*m**3 - t*m**2 + 3. What is b in w(b) = 0?
-1, -1/3
Let o(p) = p**3 - 9*p**2 - 10*p + 8. Let m be o(10). Let h be (10 - m) + (-1)/(-1). Factor h*c**4 - 3 + 12*c + 20*c**3 - 32*c**3 + c**4 - 5 + 4*c**2.
4*(c - 2)*(c - 1)**2*(c + 1)
Let f(o) be the first derivative of -2*o**5/35 + o**4/14 + 2*o**3/7 - o**2/7 - 4*o/7 - 177. Let f(g) = 0. What is g?
-1, 1, 2
Let q(w) = -4*w - 1. Let s(t) = -3*t**2 + 54*t + 9. Let v(d) = 12*q(d) + s(d). Factor v(l).
-3*(l - 1)**2
Suppose -3*r - 100 = -109. Suppose 4*l - r - 3 - 2351*l**2 + 2353*l**2 = 0. What is l?
-3, 1
Let l(u) be the third derivative of -u**6/1020 + 6*u**5/85 - 36*u**4/17 + 576*u**3/17 - 6*u**2 + 3*u. Factor l(p).
-2*(p - 12)**3/17
Let f be (8*(-7)/(-70) - 20/25)/2. Factor -12/7*k + f + 3/7*k**2.
3*k*(k - 4)/7
What is p in -22/5*p - 2/5*p**3 - 8 + 16/5*p**2 = 0?
-1, 4, 5
Let k be (-4)/4*(-7)/((-7)/(-2)). Let c(x) be the third derivative of 0*x + 0 + 1/36*x**4 - 1/180*x**5 - 5*x**k - 1/18*x**3. Let c(i) = 0. Calculate i.
1
Let l(q) be the first derivative of -q**3/3 - 5*q**2/2 + 2*q + 3. Let i be l(-5). Determine b so that 2 - i*b**2 + b**2 + 6*b + 4*b**2 + 1 = 0.
-1
Let t(y) be the first derivative of -2*y**4/3 - y**3 + 20*y - 9. Let x(k) be the first derivative of t(k). Determine a, given that x(a) = 0.
-3/4, 0
Let y(x) be the third derivative of -x**7/6300 + x**6/2700 + x**5/900 - 13*x**4/24 + 9*x**2. Let j(k) be the second derivative of y(k). Factor j(s).
-2*(s - 1)*(3*s + 1)/15
Let c(d) be the first derivative of d**5/5 - 45*d**4 + 4050*d**3 - 182250*d**2 + 4100625*d + 160. Suppose c(a) = 0. What is a?
45
Let d(o) = -6*o**3 - 5*o**2 - 5*o + 13. Let p be d(-6). Let m = 12759/11 - p. Find k such that 8/11 + 2/11*k**3 + m*k**2 + 16/11*k = 0.
-2, -1
Let h(v) be the third derivative of v**6/780 - 23*v**5/390 + 43*v**4/156 - 7*v**3/13 - 2*v**2 + 27. Factor h(o).
2*(o - 21)*(o - 1)**2/13
Let g be -1*(-9)/24*1. Factor 3/4*h + 3/8*h**2 + g.
3*(h + 1)**2/8
Let b(i) = -i**3 + i**2 - 2*i + 1. Let z(u) = 5*u**4 - 22*u**3 - 13*u**2 + 126*u - 3. Let d(a) = -3*b(a) - z(a). Determine s so that d(s) = 0.
-2, 0, 3, 4
Let f(i) be the first derivative of -i**6/15 - 86*i**5/25 - 439*i**4/10 + 1054*i**3/15 + 88*i**2 - 968*i/5 + 805. What is x in f(x) = 0?
-22, -1, 1
Let b(l) = l**2 - l. Let x(u) = 2*u**2 + 6. Let p(w) = -3*b(w) - x(w). Let g = -14 + 22. Let r(v) = 3*v**2 - 2*v + 4. Let d(y) = g*r(y) + 5*p(y). Factor d(c).
-(c - 1)*(c + 2)
Suppose 5*w = c + 31, -3*w - 3*c = -0*w - 15. Let u = 11 + -9. Find r, given that 0*r**u + 1 + r**2 + 2*r + w - 6 = 0.
-1
Let o(l) be the first derivative of 5*l**6/24 + 3*l**5/4 - 25*l**4/16 - 45*l**3/4 - 20*l**2 - 15*l + 63. Solve o(d) = 0 for d.
-2, -1, 3
Let x be 24/28 + 1578/(-1890). Let t(y) be the third derivative of 0 + 1/180*y**6 + 6*y**2 + 1/36*y**4 + 0*y**3 + 0*y - x*y**5. Suppose t(b) = 0. Calculate b.
0, 1
Solve 0 - 3/4*u**4 + 39/2*u**2 - 33/4*u**3 + 0*u = 0 for u.
-13, 0, 2
Suppose 112 = -25*p + 16 + 221. Suppose 2 + 10 = 3*c. Find f, given that 3/4*f**c + 0 + 15/8*f**p - 3/4*f**2 + 0*f - 15/8*f**3 = 0.
-1, -2/5, 0, 1
Let t = -8665 - -8667. Factor 8/7*r**3 + 0 - 2*r**t - 4/7*r.
2*r*(r - 2)*(4*r + 1)/7
Let g be 4 + (4 - 3 - 3). Let b(k) = k**2 - 2*k + 2. Let x be b(g). Factor 126*q**3 - q**4 - 127*q**3 + 2*q**x + 1 - 1.
-q**2*(q - 1)*(q + 2)
Let g be ((-23)/276*0)/(-1). What is x in -x**4 + 2/3*x**2 + g*x + 0 + 1/3*x**3 = 0?
-2/3, 0, 1
Suppose -5*s + 40 = p, 0 = 2*s + 3*s - 15. Factor 4 + 5*c + 42*c**2 + 2*c + p*c + 22*c**2.
4*(4*c + 1)**2
Let a(f) be the first derivative of f**7/1120 - 3*f**5/160 - f**4/16