-2*l + 2*g = 2*l - r, -5*l - 5*g + 35 = 0. Factor -9 - a - a**3 - 20*a**2 - 2*a + 0*a**l + 25*a**2.
-(a - 3)**2*(a + 1)
Let o(d) be the second derivative of -17*d**4/6 - 11*d**3 + 2*d**2 - 3*d + 1. Determine u so that o(u) = 0.
-2, 1/17
Let p(r) be the second derivative of r**6/10 + 43*r**5/5 + 859*r**4/4 + 532*r**3 + 392*r**2 + 2*r + 156. Suppose p(c) = 0. What is c?
-28, -1, -1/3
Let u(w) = 387*w**4 + 35*w**3 - 117*w**2 - 45*w - 4. Let r(h) = 775*h**4 + 71*h**3 - 233*h**2 - 91*h - 8. Let t(k) = -6*r(k) + 14*u(k). Solve t(q) = 0.
-1/4, 2/3
Let d(g) be the third derivative of 0*g - 1/21*g**3 - g**2 + 1/210*g**5 + 0*g**4 + 0. Solve d(s) = 0 for s.
-1, 1
Let i(s) be the first derivative of 32/9*s**3 + 4*s**2 - 32/3*s + 1/2*s**4 + 4. Determine m, given that i(m) = 0.
-4, -2, 2/3
Determine p, given that 9*p**2 - 3*p**2 - 72 - 5*p**2 - 5*p**2 - 76*p = 0.
-18, -1
Let l(s) = s - 9. Let z be l(9). Let w(d) be the third derivative of -1/300*d**5 + 6*d**2 - 1/600*d**6 + z*d + 0*d**3 + 0 + 1/60*d**4. What is g in w(g) = 0?
-2, 0, 1
Let v(o) be the third derivative of -o**6/480 - o**5/60 - o**4/32 - 5*o**2 + 13. Factor v(s).
-s*(s + 1)*(s + 3)/4
Let w(c) be the second derivative of -c**8/1848 + c**6/330 - c**4/132 - 13*c**2/2 + 24*c. Let d(o) be the first derivative of w(o). Factor d(s).
-2*s*(s - 1)**2*(s + 1)**2/11
Let r(t) be the first derivative of 2*t**3/9 + t**2 + 58. Factor r(p).
2*p*(p + 3)/3
Let w(q) be the third derivative of q**7/5040 + q**6/720 + q**5/240 - 11*q**4/24 - 13*q**2. Let c(n) be the second derivative of w(n). Factor c(m).
(m + 1)**2/2
Let c(h) be the first derivative of -12*h + 3*h**3 - 3/2*h**4 - 3/5*h**5 + 6*h**2 - 5. Factor c(b).
-3*(b - 1)**2*(b + 2)**2
Let 174*z**2 + 45/2*z**3 - 9*z**4 - 3/2*z**5 - 72*z - 864 = 0. Calculate z.
-4, 3
Let h(u) = -2*u**2 + 3*u + 3. Let z be h(0). Factor -4/9*l**z + 2/9 + 0*l - 2/3*l**2.
-2*(l + 1)**2*(2*l - 1)/9
Suppose m = 2*a + 2, -5*m - 7*a + 18 = -9*a. Let -8/5*t**2 - 4/5*t - 4/5*t**5 + 8/5*t**3 + 4/5*t**m + 4/5 = 0. Calculate t.
-1, 1
Let u(j) = -j**2 + 7*j - 1. Let i(p) = -9*p**2 - 502*p + 531. Let c(b) = -i(b) + 4*u(b). Determine x, given that c(x) = 0.
-107, 1
Let l = 3042/8305 + -2/755. Determine z so that -l - 18/11*z - 8/11*z**2 = 0.
-2, -1/4
Factor 0*j + 0*j**2 + 6*j**4 - 9/2*j**3 + 0 - 3/2*j**5.
-3*j**3*(j - 3)*(j - 1)/2
Let u be (-18)/(-30)*(-10)/(-9). Factor -u*i + 2/3*i**3 + 2*i**2 - 2.
2*(i - 1)*(i + 1)*(i + 3)/3
Let o(p) be the second derivative of 0 + 7*p + 0*p**2 - 8/45*p**4 - 4/45*p**3 - 7/50*p**5 - 1/25*p**6. Factor o(c).
-2*c*(c + 1)*(3*c + 2)**2/15
Factor -66*p**2 + 28*p**2 + 33*p**2 - 10*p.
-5*p*(p + 2)
Let f(j) = -j**3 - 189*j**2 + 1172*j - 12. Let k be f(6). Suppose -18/7*r**2 + 8/7*r**3 + 4/7*r + k = 0. What is r?
0, 1/4, 2
Solve 5*y**2 - 17*y**2 + 910*y + 35*y + 344 + 83*y = 0.
-1/3, 86
Solve -60 - 5*a**2 - 2*a**2 - 4750*a + 4710*a + 2*a**2 = 0.
-6, -2
Let w be (390/105 + -4)*-2. What is o in -w*o**5 + 0 + 0*o**3 - 8/7*o**4 + 8/7*o**2 + 4/7*o = 0?
-1, 0, 1
Determine f so that 152/3*f**2 - 43*f**3 + 52/3*f - 82/3*f**4 + 0 + 7/3*f**5 = 0.
-2, -2/7, 0, 1, 13
Let z be ((-3)/180)/((-6)/(96/28)). Let i(n) be the second derivative of -4*n + 0*n**3 + 1/49*n**7 + 0*n**2 - z*n**6 - 1/35*n**5 + 0 + 0*n**4. Factor i(c).
2*c**3*(c - 1)*(3*c + 2)/7
Let s be -2*(-13)/104*2/3. Factor -1/6*u**2 + 0*u + s.
-(u - 1)*(u + 1)/6
Let m(n) = -n**3 - n**2 + n - 1. Let o(f) = -6 - 7*f**3 + 4*f - 5 + 2 + 3 - 9*f**2. Let x(i) = -6*m(i) + o(i). Factor x(b).
-b*(b + 1)*(b + 2)
Let k(x) = x + 30. Let f be k(-18). Suppose -2*d - f = -5*d. Let 2/17*v**2 + 4/17*v**3 - 2/17*v**d - 4/17*v + 0 = 0. Calculate v.
-1, 0, 1, 2
Suppose 6*u = 7*u + 11. Let t = u + 13. Factor -5*j**t - 2*j**3 + 4 - j + 0*j**2 + 3*j + j**2.
-2*(j - 1)*(j + 1)*(j + 2)
Let d = -40 - -47. Determine n so that 3*n - d*n**2 - 8*n - 8*n**4 + n + 11*n**4 + 4 + 4*n**3 = 0.
-2, -1, 2/3, 1
Let h be (66/55 - (-65)/(-75))/(3/18). Let 27/7 - 24/7*r - 3/7*r**h = 0. What is r?
-9, 1
Let o(h) = 12*h**2 + 8*h. Let l = -18 + 19. Let i(w) = -w. Let y(s) = l*o(s) + 5*i(s). Factor y(z).
3*z*(4*z + 1)
Let b(h) be the second derivative of -h**5/100 - h**4/15 - h**3/10 - 14*h - 1. Determine p, given that b(p) = 0.
-3, -1, 0
Let s be (((-6)/(-18))/1)/((-10)/(-4)). Let r(d) be the third derivative of 0*d**3 - 9*d**2 + 2/35*d**7 + 0 + 0*d + s*d**5 + 0*d**4 - 1/6*d**6. Factor r(c).
4*c**2*(c - 1)*(3*c - 2)
Let y(i) be the second derivative of 1/20*i**4 - 1/2*i**2 - 1/300*i**5 + 0 - 3/10*i**3 + 3*i. Let z(v) be the first derivative of y(v). Factor z(u).
-(u - 3)**2/5
Let x = -17 - 23. Let m = 43 + x. Factor -2/3*d - 4/3*d**2 - 7/6*d**4 + 19/6*d**m + 0.
-d*(d - 2)*(d - 1)*(7*d + 2)/6
Let s(o) = 2*o**3 - 72*o**2 - 208*o - 200. Let p(i) = -i**3 + 24*i**2 + 69*i + 67. Let t(g) = -8*p(g) - 3*s(g). Suppose t(a) = 0. Calculate a.
-8, -2
Let h be 7 - ((-26)/(-520))/((-2)/(-276)). Let g(f) be the second derivative of -h*f**5 - 1/2*f**4 - f**2 - f**3 + 0 + 11*f. Let g(j) = 0. What is j?
-1
Let t(i) = -i**2 + i. Let j(b) = 7*b**2 - 3*b + 2. Suppose 2*f = 3*w - 5*w - 2, 0 = 2*f. Let y(p) = w*j(p) - 6*t(p). Solve y(a) = 0.
-2, -1
Suppose 7*g + 0 = -7*g + 28. Factor -1 - 1/2*q + 1/2*q**g.
(q - 2)*(q + 1)/2
Factor 2/5*j**2 + 490 - 28*j.
2*(j - 35)**2/5
Let j(r) be the third derivative of r**5/80 - 11*r**4/16 + 5*r**3 + 193*r**2. What is m in j(m) = 0?
2, 20
Let q(n) be the third derivative of n**6/480 + n**5/80 - 5*n**4/48 + n**2 + 2. Factor q(b).
b*(b - 2)*(b + 5)/4
Let q(b) = 2*b**3 + 13*b**2 - 15*b - 13. Let y(u) = -u**3 - u**2 + u. Let r(m) = q(m) + y(m). Let w be r(-13). Determine h, given that w*h - 3/2 + 3/2*h**2 = 0.
-1, 1
Let r(l) be the third derivative of 27*l**7/455 + 57*l**6/65 + 794*l**5/195 + 152*l**4/39 + 64*l**3/39 + 236*l**2. Solve r(w) = 0 for w.
-4, -2/9
Let p(b) = 20*b**3 - 62*b**2 - 67*b. Let j(k) = -9*k**3 + 30*k**2 + 33*k. Let n(q) = -13*j(q) - 6*p(q). Factor n(x).
-3*x*(x + 3)**2
Let w(i) = 2*i**2 - 27*i + 15. Let q be w(13). Factor 0*s**3 + 0 - 3/4*s**q + 1/4*s**4 + 1/2*s.
s*(s - 1)**2*(s + 2)/4
Suppose 0 = 162*k - 161*k. Let g(b) be the third derivative of -1/120*b**5 - 1/240*b**6 - 5*b**2 + 0 + 0*b + k*b**4 + 0*b**3. Factor g(n).
-n**2*(n + 1)/2
Let n = 126 - 126. Let m(t) be the second derivative of 1/40*t**5 - 1/8*t**4 - 2*t + n + 0*t**2 + 0*t**3. Let m(u) = 0. What is u?
0, 3
Let d(q) be the first derivative of -q**6 - 14*q**5/5 + 27*q**4/2 + 134*q**3/3 - 72*q + 120. Determine p, given that d(p) = 0.
-3, -2, -1, 2/3, 3
Let p(o) be the third derivative of -o**6/120 + 7*o**5/180 + o**4/36 - 4*o**3/9 + 14*o**2 + 3*o. Determine a so that p(a) = 0.
-1, 4/3, 2
Let n = 11 + -6. Factor -q**3 + 9 - 149*q + n*q**2 + 2*q**2 + 134*q.
-(q - 3)**2*(q - 1)
Let p(u) be the first derivative of 3*u**5/25 + 27*u**4/20 + 24*u**3/5 + 24*u**2/5 + 381. Factor p(d).
3*d*(d + 1)*(d + 4)**2/5
Let t = 8423/3 + -2807. Determine l, given that 0 + t*l**2 + 2/3*l = 0.
-1, 0
Let k = 23349/7 + -3335. Factor 0 - 2/7*c**3 + 0*c - k*c**2.
-2*c**2*(c + 2)/7
Suppose -z + 6 = b, 5*z = -4*b + 4 + 23. Suppose -27 = -z*w - 0. Find h, given that -2*h**2 + 0*h**2 + 4*h - 4 - w*h - h = 0.
-2, -1
Solve -35/3*k**2 - 85/3*k + 5/3*k**3 - 15 = 0 for k.
-1, 9
Suppose 2/15*u**5 - 76/15*u + 14/3*u**4 + 0 - 74/5*u**3 + 226/15*u**2 = 0. What is u?
-38, 0, 1
Let r = 130 + -127. Suppose 2074*f**r + 10*f + 95*f**2 - 2069*f**3 - 500 + 390*f = 0. Calculate f.
-10, 1
Let r(n) be the second derivative of 1/15*n**4 - 8/5*n**2 + 0 + 4/15*n**3 + 23*n - 1/50*n**5. Suppose r(g) = 0. What is g?
-2, 2
Let w(m) = 10*m**5 + 39*m**4 - 150*m**3 + 161*m**2 - 78*m. Let d(o) = 5*o**5 + 19*o**4 - 75*o**3 + 81*o**2 - 38*o. Let y(i) = -9*d(i) + 4*w(i). Solve y(q) = 0.
-6, 0, 1
Let n(s) be the third derivative of -s**6/900 - s**5/225 + 7*s**4/60 - 2*s**3/5 - s**2 + 66. Factor n(w).
-2*(w - 3)*(w - 1)*(w + 6)/15
Let t(o) = o**4 - o - 1. Let m(f) = -9*f**4 - 159*f**3 + 53*f**2 + 161*f - 44. Let u(v) = -m(v) - 2*t(v). Solve u(p) = 0.
-23, -1, 2/7, 1
Find c such that 17*c**5 + 190*c**3 - 30*c + 3*c**5 + 115*c**4 + 483*c**2 - 418*c**2 = 0.
-3, -2, -1, 0, 1/4
Let o(v) = -v**2 - 95*v - 515. Let z(j) = 46*j + 256. Let d(h) = -4*o(h) - 10*z(h). Factor d(a).
4*(a - 25)*(a + 5)
Suppose 4*b - 18 = -2*b. What is m in -4*m**2 + 2