(r) + y(r). Factor l(x).
-x**2*(x - 3)
Suppose 11*w + 160 = -335. Let x be (1/w*-3)/(4/24). Solve 0*b + x*b**3 + 0*b**2 + 2/5*b**4 + 0 = 0 for b.
-1, 0
Let k = 0 + 2. Suppose 2*d + 20 = -k*d, 2*p - 26 = 4*d. Factor -n - 28*n**2 + p*n + 27*n**2.
-n*(n - 2)
Let w(q) be the second derivative of -q**5/140 + 3*q**4/56 - q**3/7 + 13*q**2/2 - 8*q. Let i(x) be the first derivative of w(x). Factor i(h).
-3*(h - 2)*(h - 1)/7
Suppose 13*s - 16*s + 9 = 0. Factor 5*o**2 + 3*o**4 - 23*o**3 + o**2 + 32*o**s.
3*o**2*(o + 1)*(o + 2)
Let h(p) = -p**3 + p**2 + p - 1. Let v(s) = 2*s**4 + 13*s**3 - 27*s**2 - 155*s - 157. Let b(w) = -6*h(w) - 2*v(w). Factor b(t).
-4*(t - 4)*(t + 2)**2*(t + 5)
Let w(i) be the second derivative of i**6/150 + i**5/25 - i**4/20 - 3*i**3/5 - 2*i + 16. Suppose w(k) = 0. What is k?
-3, 0, 2
Let p(t) be the second derivative of 64*t**7/147 + 32*t**6/7 + 144*t**5/7 + 360*t**4/7 + 540*t**3/7 + 486*t**2/7 - 99*t. Suppose p(d) = 0. Calculate d.
-3/2
Let h(q) be the first derivative of -5/2*q**4 + 15 + 5*q**2 - 5*q + 20/3*q**3 - 3*q**5. Solve h(o) = 0 for o.
-1, 1/3, 1
Let t(w) = -w + 1. Let a(v) = -5*v**5 + 15*v**4 + 75*v**3 + 85*v**2 + 29*v + 1. Let h(l) = -a(l) + t(l). Factor h(j).
5*j*(j - 6)*(j + 1)**3
Let y(a) be the first derivative of -a**4/6 + 26*a**3/9 - 16*a**2 + 24*a + 46. Determine q so that y(q) = 0.
1, 6
Factor 10 - 58 - 2*m**2 - 2*m**2 + 0 + 7*m**2.
3*(m - 4)*(m + 4)
Suppose l - 2 - 2 = w, 2*l - 4*w = 10. Let x(n) be the first derivative of 3/5*n**5 + 6*n - 3*n**3 + 3/2*n**2 + l - 3/4*n**4. Factor x(y).
3*(y - 2)*(y - 1)*(y + 1)**2
Let s be 10/25 - (-4)/(-10). Let t be (3/2)/((-55)/(-22)). Suppose s*i + 0*i**4 + 0*i**2 - t*i**5 + 3/5*i**3 + 0 = 0. Calculate i.
-1, 0, 1
Let u(y) be the first derivative of y**5/15 - 11*y**4/12 + 8*y**3/3 + 6*y**2 + 224. Let u(j) = 0. What is j?
-1, 0, 6
Let k(d) be the third derivative of 7*d**8/120 + 41*d**7/25 + 44*d**6/3 + 2722*d**5/75 + 176*d**4/5 + 256*d**3/15 + 83*d**2. Find r, given that k(r) = 0.
-8, -1, -2/7
Let h(d) be the second derivative of -d**7/1680 + d**6/240 - d**4/12 - 17*d**3/3 - 16*d. Let c(y) be the second derivative of h(y). Find i, given that c(i) = 0.
-1, 2
Let v(a) be the second derivative of -a**7/210 + a**6/90 + a**5/30 - a**4/6 + 4*a**3 + 26*a. Let f(h) be the second derivative of v(h). Factor f(j).
-4*(j - 1)**2*(j + 1)
Let m(a) be the first derivative of -5*a**6/12 - 21*a**5/2 - 755*a**4/8 - 725*a**3/2 - 620*a**2 - 480*a - 148. Solve m(f) = 0.
-8, -3, -1
Let s(l) be the third derivative of -l**7/525 - l**6/90 + l**5/30 + l**4/6 + 8*l**3/45 + 216*l**2. Suppose s(h) = 0. What is h?
-4, -1, -1/3, 2
Let q be (1/4 - 0)*2. Suppose 0 = 4*l + 8*l - 36. Factor 1/2*i**l + 1/4*i**4 + 0 - 1/4*i**2 - q*i.
i*(i - 1)*(i + 1)*(i + 2)/4
Suppose 7*k - 4*k = -12. Let s(u) = 9*u**2 - 11*u + 10. Let h(z) = -z**2 - z. Let x(j) = k*h(j) - s(j). Find g, given that x(g) = 0.
1, 2
Let t(n) be the second derivative of -1/20*n**5 - 1/8*n**4 + 0*n**3 + n - n**2 + 0. Let m(o) be the first derivative of t(o). Determine y, given that m(y) = 0.
-1, 0
Suppose -123 = -4*z - 103. Factor 6*l**5 - 3*l**5 - 8*l**z + 9*l**4 + l**4.
-5*l**4*(l - 2)
Suppose 3*a + a - 15 = g, a = -g. Factor 8*h**2 + a*h**3 + h**2 + 0*h**2 - 6*h**2.
3*h**2*(h + 1)
Factor 0 + 8/3*c - 2/3*c**2.
-2*c*(c - 4)/3
Let r be (24/(-84))/((-360)/14). Let o(p) be the second derivative of 1/36*p**4 + 0*p**5 + 0 + 5*p + 0*p**2 - r*p**6 + 0*p**3. Find k, given that o(k) = 0.
-1, 0, 1
Let h be 3 + 5 + 0/(-3 - -6). Let k be (-8)/(-36) - h/(-12). Find c, given that -2/9 + 8/9*c**5 - 2/9*c**4 + 4/9*c**2 + k*c - 16/9*c**3 = 0.
-1, 1/4, 1
Let -408*j**3 + 8029 + 2160 + 627 + 12361*j**2 - 2373*j**2 + 21216*j + 4*j**4 = 0. Calculate j.
-1, 52
Suppose -40*r**2 - 27*r**2 + 45*r + 72*r**2 = 0. What is r?
-9, 0
Suppose 0 = -0*b - 2*b + 2, 3*b = l + 3. Let m be (-8 - -5)*-1 - l. Find k, given that -16/3*k**2 + 2/3 - m*k**3 - 5/3*k = 0.
-1, 2/9
Let s = -1213 + 10921/9. Solve 0 - s*c - 4/9*c**2 = 0.
-1, 0
Suppose -55*v + 75 = -60*v. Let p be (1 + 14/v)/(1/6). Determine t so that p*t**5 + 0 + 0*t**4 - 4/5*t**3 + 2/5*t + 0*t**2 = 0.
-1, 0, 1
Suppose -264*j**2 - 28*j**3 + 3*j**4 - 373*j - 416 + 29*j + j**4 - 217*j - 31*j = 0. Calculate j.
-2, 13
Let y(k) = -k**4 + 2*k**3 - k + 1. Let n(g) = -3*g**5 - 23*g**4 - 14*g**3 + 18*g**2 + 22*g + 5. Let v(f) = -n(f) + 5*y(f). Factor v(q).
3*q*(q - 1)*(q + 1)*(q + 3)**2
Let m(b) be the first derivative of 5 - 4*b**2 + b - 1/3*b**4 + 2*b**3. Let y(i) be the first derivative of m(i). Factor y(w).
-4*(w - 2)*(w - 1)
Let o(z) = -z**3 + 7*z**2 + 20*z - 16. Let t be o(9). Let k = 16/7 - t. What is l in 6/7*l + 4/7 + k*l**2 = 0?
-2, -1
Let n = -692 + 692. Factor n*q + 0*q**2 + 4/7*q**3 + 6/7*q**4 + 2/7*q**5 + 0.
2*q**3*(q + 1)*(q + 2)/7
Let o(n) be the third derivative of -n**7/105 - 13*n**6/30 - 4*n**5/5 + 13*n**4/6 + 25*n**3/3 - 76*n**2. Factor o(i).
-2*(i - 1)*(i + 1)**2*(i + 25)
Suppose -5*b + 27 + 3 = 0. Let z be b/(-33) + 92/22. Factor -2*c**2 - 2*c**2 + 12*c + 3 - 7 - z.
-4*(c - 2)*(c - 1)
Let z(w) be the second derivative of -9*w + 14/27*w**3 - 20/9*w**2 - 1/27*w**4 + 0. Factor z(r).
-4*(r - 5)*(r - 2)/9
Let r(n) = -2*n - 7. Let s be r(-5). Let k be -1 + 1 + s - 0. What is q in -6*q**2 + q + 3*q**3 - k + 3 + 2*q = 0?
0, 1
Factor 10*q**3 - 175*q + 14*q**3 - 105*q**2 - 14*q**3 - 60.
5*(q - 12)*(q + 1)*(2*q + 1)
Let d(b) be the third derivative of 35*b**2 + 0*b - 1/30*b**3 + 0 + 1/100*b**5 + 1/60*b**4. Factor d(n).
(n + 1)*(3*n - 1)/5
Let r(q) be the second derivative of 1/231*q**7 + 2/11*q**2 + 0 + 1/33*q**3 - 1/55*q**5 - 2/33*q**4 - 4*q + 2/165*q**6. Let r(u) = 0. Calculate u.
-2, -1, 1
Let w(n) = n**5 - n**4 + n**2 + n + 1. Let h(r) = -5*r**5 + 3*r**4 - 8*r**3 + 9*r**2 - 7*r - 7. Let q(m) = 2*h(m) + 14*w(m). Suppose q(f) = 0. Calculate f.
-2, 0, 2
Let h(k) be the third derivative of 1/200*k**5 + 0 - 7/30*k**3 + 0*k - 19/240*k**4 - 26*k**2. Factor h(p).
(p - 7)*(3*p + 2)/10
Suppose 216 = -1147*d + 1201*d. Let c = 1 - 1. Solve 0 - 8/7*a**3 + 4/7*a**2 + c*a + 3/7*a**d = 0 for a.
0, 2/3, 2
Let q(n) be the third derivative of -n**7/42 + n**6/8 + 3*n**5/4 - 115*n**4/24 + 10*n**3 - n**2 - 22*n. Suppose q(w) = 0. What is w?
-3, 1, 4
Suppose 9 = 4*i - 7. Let a(w) be the first derivative of -i + 0 - 2*w**2 - 2*w + w - 1 - w**3. Let a(k) = 0. Calculate k.
-1, -1/3
Let c be (-102)/9 + 6/(-9). Let v be 1/(-2)*(-1 + c/(-28)). Factor -4/7 + 2/7*z**2 + v*z.
2*(z - 1)*(z + 2)/7
Factor -14*t**2 + 40 + 1174*t - 569*t - 579*t.
-2*(t + 1)*(7*t - 20)
Let m(j) = -j**2 + 12*j - 31. Let y be m(8). Let r(o) = -o**5 + o**2 + o. Let u(l) = 8*l**5 - 8*l**3 - 4*l**2. Let t(n) = y*u(n) + 4*r(n). Factor t(h).
4*h*(h - 1)**2*(h + 1)**2
Suppose 10*k - 89*p = 5*k - 85*p, 5*k = -12*p. Let 0*b + k - 9/5*b**3 + 3/5*b**5 + 0*b**4 - 6/5*b**2 = 0. What is b?
-1, 0, 2
Let m(l) = -4*l**4 - 8*l**3 + 55*l**2 + 118*l + 69. Let k(h) = 6*h**4 + 12*h**3 - 82*h**2 - 176*h - 104. Let d(v) = 5*k(v) + 8*m(v). Factor d(r).
-2*(r - 4)*(r + 1)**2*(r + 4)
Let x(z) be the third derivative of -23*z**2 + 0 + 0*z + 4/315*z**7 - 1/18*z**6 + 0*z**4 + 0*z**3 + 2/45*z**5. Find g such that x(g) = 0.
0, 1/2, 2
Factor -2*y - 1/4*y**2 + 3 + 1/4*y**3.
(y - 2)**2*(y + 3)/4
Let r be 6 + (-3)/(-18)*6. Suppose -r - 3 = -3*x + 2*p, 3*p + 15 = -x. Find l such that 2/5*l**2 + x*l**4 - 2/5 + 1/5*l**5 - 4/5*l**3 + 3/5*l = 0.
-2, -1, 1
Let i(v) = -1. Let g(j) = -26*j**2 + 145*j - 105. Let d(h) = -g(h) + 4*i(h). Let b(u) = 5*u**2 - 29*u + 20. Let o(y) = 11*b(y) - 2*d(y). What is w in o(w) = 0?
2/3, 9
Let f = -252 - -258. Let l(k) be the first derivative of -3/2*k**2 - k**3 + 6*k + f. Suppose l(m) = 0. What is m?
-2, 1
Let p(v) be the second derivative of 1/9*v**2 + 1/135*v**6 + 0 - 1/27*v**4 + 0*v**3 + 9*v + 0*v**5. Factor p(z).
2*(z - 1)**2*(z + 1)**2/9
Let n(i) = 16*i**2 - 101*i - 26 - 93*i**2 - 6. Let f(m) = 424*m**2 + 556*m + 176. Let o(q) = -5*f(q) - 28*n(q). Factor o(z).
4*(3*z + 2)**2
Let p(l) be the third derivative of l**8/168 - 11*l**7/315 + l**6/12 - l**5/10 + l**4/18 - 66*l**2. Factor p(w).
2*w*(w - 1)**3*(3*w - 2)/3
Factor -1/4*g**2 + 109/2*g - 11881/4.
-(g - 109)**2/4
Suppose -14*u = -28*u + 42. Determine t so that 3 + 3*t**5 + 3*t - 2*t**2 + 0*t**4 + t**4 + 2*t**4 - 4*t**2 - 6*t**