. Factor b(c).
c*(c + 1)**2
Let z(a) be the second derivative of 4*a - 33/28*a**4 + 3/140*a**5 - 3993/14*a**2 + 0 + 363/14*a**3. Let z(x) = 0. What is x?
11
Let q(x) = 2*x**4 + 553*x**3 + 3*x**2 - 3*x - 3. Let r(p) = 15*p**4 + 4425*p**3 + 25*p**2 - 25*p - 25. Let k(w) = -25*q(w) + 3*r(w). What is s in k(s) = 0?
-110, 0
Let i = -756 + 811. Suppose -60*o = -i*o. Factor o*p + p**3 + 1/2*p**4 + 0*p**2 + 0 - 1/2*p**5.
-p**3*(p - 2)*(p + 1)/2
Let b(v) be the second derivative of -v**6/45 - 64*v**5/15 - 253*v**4/18 - 14*v**3 - 10*v + 22. Solve b(c) = 0.
-126, -1, 0
Let o(a) = a**3 + 6*a**2 + 10*a + 20. Let f be o(-4). Find p such that f*p**4 + p**4 + 6*p**4 - 45*p**3 - 14*p**4 + 90*p**2 = 0.
0, 3, 6
Let g = 148 + -214. Let j be (((-324)/g)/(-9))/((-3)/2). Determine p, given that 2/11*p**2 - j*p + 0 = 0.
0, 2
Let r(a) be the third derivative of a**7/420 - 7*a**6/120 - a**5/8 - a**2 - 4818. Factor r(l).
l**2*(l - 15)*(l + 1)/2
Let z(v) = 1 + 2*v**3 + 2*v + 137*v**2 - 79*v**2 - 59*v**2. Let l(r) = 6*r**4 + 16*r**3 - 5*r**2 - 4*r - 1. Let a(u) = l(u) - 3*z(u). What is h in a(h) = 0?
-1, -2/3, 1
Suppose -14*o - 99 - 2*o**2 - 5*o**2 - 2*o + 10*o**2 - 8*o = 0. Calculate o.
-3, 11
Let u(d) = 4*d**2 - 1056*d - 8. Let t(l) = 10*l**2 - 2112*l - 18. Let n(g) = -4*t(g) + 9*u(g). Factor n(p).
-4*p*(p + 264)
Solve 80*c**3 - 4756*c**4 - 30*c + 2*c**2 - 4709*c**4 + 9430*c**4 + 83*c**2 = 0 for c.
-1, 0, 2/7, 3
Let s be ((-931)/5586)/((-10)/180*2*2). Suppose 12*m**3 - 15/2*m**4 + s*m**5 - 51/4*m + 6 + 3/2*m**2 = 0. What is m?
-1, 1, 8
Let y(v) = -21*v**3 + 242*v**2 - 400*v + 52. Let w(l) = 5*l**3 - 60*l**2 + 100*l - 12. Let a(r) = -26*w(r) - 6*y(r). Find t, given that a(t) = 0.
0, 2, 25
Let j(v) = 3*v**4 + 186*v**3 - 6*v**2 - 189*v - 3. Let t(p) = -p**4 - 188*p**3 + 3*p**2 + 190*p + 2. Let b(c) = 2*j(c) + 3*t(c). Suppose b(x) = 0. What is x?
-1, 0, 1, 64
Factor 5/4*p**2 + 0 + 4155/2*p.
5*p*(p + 1662)/4
Let y(i) = -i**2 + 2236*i + 2237. Let v be y(-1). Factor 0*x + 0 - 2/9*x**4 + v*x**2 + 4/9*x**3.
-2*x**3*(x - 2)/9
Suppose -5*r + 31*a + 15 = 28*a, 0 = -2*a - 10. Suppose 3/2*x**4 - 15/2*x**3 + 0*x + 6*x**2 + r = 0. What is x?
0, 1, 4
Determine c so that 0*c**3 - 4/3*c**5 - 248/3*c**2 + 32/3*c**4 - 56 + 388/3*c = 0.
-3, 1, 2, 7
Let l(o) = o**2 + 5*o + 22. Let t be l(13). Let b be (-36)/132 - t/(-132). Let -5/3*p + b*p**3 + p**2 - 4/3*p**4 + 1/3 = 0. What is p?
-1, 1/4, 1
Solve 8*u**4 + 4/7*u**5 + 44/7*u + 144/7*u**3 + 136/7*u**2 + 0 = 0 for u.
-11, -1, 0
Suppose 52*q + 53*q - 45*q = -85*q + 1740. Let -q*p**3 - 118/7*p**4 + 34/7*p**2 + 0 + 20/7*p - 20/7*p**5 = 0. Calculate p.
-5, -1, -2/5, 0, 1/2
Let c = 112 - 110. Suppose -c*f = -9*y + 6*y + 11, 0 = -4*y + f + 13. Suppose -3/8*g**y - 27/2*g - 9/2*g**2 + 0 = 0. What is g?
-6, 0
Let i**2 - 49 + 52*i**2 - 6*i - 36*i**3 - 43*i - 4*i**4 + 4*i + 81*i**3 = 0. Calculate i.
-1, 1, 49/4
Let r(h) be the third derivative of -h**7/8820 - 2*h**6/315 + 17*h**5/420 + 61*h**4/12 + 28*h**2. Let a(n) be the second derivative of r(n). Factor a(s).
-2*(s - 1)*(s + 17)/7
Let t(k) be the third derivative of 2*k**7/315 + k**6/45 - 19*k**5/45 + 14*k**4/9 - 8*k**3/3 - 7720*k**2. Determine w, given that t(w) = 0.
-6, 1, 2
Let t(s) be the second derivative of s**5/15 - 56*s**4/3 + 6272*s**3/3 - 3*s**2/2 - s - 56. Let a(w) be the first derivative of t(w). Let a(h) = 0. Calculate h.
56
Let g = -125 + 127. Let f(h) be the first derivative of -1/24*h**6 + g*h - 11/16*h**4 + 3/2*h**2 - 3/10*h**5 - 1/6*h**3 - 25. Determine s so that f(s) = 0.
-2, -1, 1
Let z(g) be the first derivative of -g**7/140 + 3*g**6/40 - g**5/5 + 51*g**2 + 67. Let p(q) be the second derivative of z(q). Suppose p(t) = 0. What is t?
0, 2, 4
Let l(c) be the third derivative of -c**5/15 + 17*c**4/3 + 70*c**3/3 - 3*c**2 + 162*c. What is o in l(o) = 0?
-1, 35
Factor -1/7*j**3 + 0 - 40/7*j**2 + 0*j.
-j**2*(j + 40)/7
Let k(u) be the first derivative of -u**3/18 - 73*u**2/6 + 49*u/2 - 2348. Let k(q) = 0. What is q?
-147, 1
Let g(o) be the third derivative of -o**6/210 + 317*o**5/105 + 640*o**4/21 + 856*o**3/7 + 3*o**2 - 178. Solve g(z) = 0.
-2, 321
Let k(w) be the second derivative of 3*w**5/20 + 5*w**4/2 - w**3/2 - 15*w**2 - 5977*w - 1. Let k(n) = 0. What is n?
-10, -1, 1
Let z(t) = 600*t + 344402. Let l be z(-574). Find o such that 0 + 2/3*o - o**l + 1/3*o**3 = 0.
0, 1, 2
Let x(q) be the second derivative of 1/3*q**4 + 24 + 112*q**2 - 20*q**3 + 5*q. Solve x(l) = 0 for l.
2, 28
Let n(i) be the third derivative of -i**7/3780 + i**6/1620 + i**5/270 + 35*i**3/6 + 53*i**2. Let k(b) be the first derivative of n(b). Factor k(h).
-2*h*(h - 2)*(h + 1)/9
Let o be -22 - 294*31/(-372). Factor -1/2*l**5 + 4*l + o*l**4 + 0 - 3*l**3 - 2*l**2.
-l*(l - 2)**3*(l + 1)/2
Let q be 10/(-6)*30/(-25). Let -7*g**2 + 6 + 21*g**q - 33*g + 15*g**3 - 2*g**2 = 0. Calculate g.
-2, 1/5, 1
Let o(w) be the third derivative of 0*w + 19/210*w**5 - 8/21*w**3 + 2*w**2 + 1/14*w**4 - 12 + 1/140*w**6 - 2/735*w**7. What is v in o(v) = 0?
-2, -1, 1/2, 4
Let n be ((-15)/((-360)/128) - 6)*-21. Let z be (12/n)/((-6)/(-14)). Solve 400/9 - 4/9*w**3 - 76/9*w**z - 320/9*w = 0 for w.
-10, 1
Let d(c) = -257*c - 22616. Let n be d(-88). Solve n - 2/3*l**5 + 8/3*l**4 + 2*l - 8/3*l**2 - 4/3*l**3 = 0 for l.
-1, 0, 1, 3
Let z(w) be the first derivative of w**4/108 + w**3/18 - 2*w**2/9 - 104*w + 3. Let l(k) be the first derivative of z(k). Solve l(h) = 0.
-4, 1
Suppose 20/3*s**2 - 64/3 - 1/3*s**5 - 10/3*s**4 - 25/3*s**3 + 80/3*s = 0. What is s?
-4, 1
Let k(s) be the third derivative of s**10/378000 + s**9/4200 - s**5/15 + 5*s**4/8 + 84*s**2. Let u(n) be the third derivative of k(n). Factor u(q).
2*q**3*(q + 36)/5
Let d be (-231)/33 - -8 - -1. Determine s so that 65/3*s**3 - 37/3*s**d + 2*s + 0 - 5*s**5 - 19/3*s**4 = 0.
-3, 0, 1/3, 2/5, 1
Let y(w) be the third derivative of 1/35*w**7 + 0*w**4 + 2/15*w**6 + 4 - 5*w**2 + 0*w**3 + 0*w + 1/504*w**8 + 8/45*w**5. Suppose y(a) = 0. What is a?
-4, -1, 0
Let t(u) = 1. Let b(j) = j**2 + j + 1. Let y(k) = -b(k) - 3*t(k). Let z(w) = -2*w**2 - w - 7. Let v(i) = -5*y(i) + 3*z(i). Factor v(p).
-(p - 1)**2
Let o be 1978/258 - (-9)/36*2/(-3). Factor 3*w**2 + o*w + 3/2*w**4 - 9*w**3 + 3/2*w**5 - 9/2.
3*(w - 1)**3*(w + 1)*(w + 3)/2
Suppose -221/2*b**3 - 1/4*b**5 + 35/4*b**4 + 1147/2*b**2 - 3157/4*b - 5929/4 = 0. Calculate b.
-1, 7, 11
What is r in -194/3*r + 0 - 2/9*r**3 - 200/9*r**2 = 0?
-97, -3, 0
Let a(g) = 51*g**2 + 823*g + 60. Let z(o) = -o - 3. Let f(q) = -a(q) - 4*z(q). Suppose f(j) = 0. What is j?
-16, -1/17
Let x = 154 + -105. Let k = x - 47. Suppose -s**2 + 5*s + 14 - 4*s**k - 4 = 0. What is s?
-1, 2
Let n(v) be the second derivative of 1/21*v**4 + 0*v**2 - 8/7*v**3 - 1 - 31*v. Factor n(s).
4*s*(s - 12)/7
Solve 0 + 0*w - 2/17*w**3 + 10*w**2 = 0.
0, 85
Let t(o) = -o**3 + 2*o**2 + 2*o - 2. Let p be t(2). Factor -72 + 19*r**2 + 13*r**p - 51*r + 7*r + 4*r**3 + 0*r.
4*(r - 2)*(r + 1)*(r + 9)
Suppose 542*m - 7120 + 0*m**4 + 6*m**4 + 298*m**2 + 7264 - 94*m**3 = 0. What is m?
-1, -1/3, 8, 9
Suppose 5*n - 2*q = -0*q - 105, 0 = -2*q. Let u be 6/(-4)*2 + n/(-7). Find t such that 1/3*t**3 + u*t**2 + 0 + 1/3*t**4 + 0*t = 0.
-1, 0
Suppose 2*j - 43 = 3*x, 2*j - j - 27 = -4*x. Let -330 - 111*r + 1298 + 2*r**2 + j*r = 0. Calculate r.
22
Suppose 22*w - 1008 = -14*w. Let i(l) = -l**2 + l. Let m(o) be the first derivative of -8*o**3/3 + 3*o**2 + 2*o + 1. Let n(d) = w*i(d) - 4*m(d). Factor n(k).
4*(k - 1)*(k + 2)
Let x = -40331 + 40336. Let 3/2*h - 1/2*h**x - h**3 + 3/2*h**4 - 1/2 - h**2 = 0. Calculate h.
-1, 1
Let w(n) = 3*n - 38. Let b(t) = -6*t + 2. Let i be b(-2). Let r be w(i). Factor 291*y**3 - 64*y**2 + 2*y + 100*y**r - 18*y - 311*y**3.
4*y*(y - 1)*(5*y + 2)**2
Suppose -15*w = -6*w - 45. Let u be (-2)/(2/w*5/(-3)). Factor 0 + 0*x + 1/5*x**2 - 4/5*x**u.
-x**2*(4*x - 1)/5
Let l be -6*6*2/36*-2. Suppose -16*t**2 + 20*t**l - 431*t**5 - 4*t**2 - 10*t**3 + 211*t**5 + 215*t**5 + 15*t = 0. What is t?
-1, 0, 1, 3
Let z be ((-14)/10 - 2/(-5))*14. Let w(a) = a**2 + 14*a + 12. Let m be w(z). Solve -m*b + 34*b**4 - 2 - 2 - 31*b**4 + 2*b**3 - 9*b**2 = 0.
-1, -2/3, 2
Let z(n) be the third derivative of n**5/20 + 3*n**4/4 + 47*n**3/6 - 17*n**2 + 2*n. Let p(v) = 2*v**2 + 13*v + 31. Let j(u) = 8*p(u) - 5*z(u). Factor j(w).
(w + 1)*