/660*p**6 + 0*p. What is h in i(h) = 0?
0
Find i such that -1/4*i**2 - 6084 + 78*i = 0.
156
Let s(h) = -9*h**2 + 104*h - 676. Let q(m) = 3*m**2 + 15*m - 67*m + 2*m**2 - m**2 + 338. Let l(c) = -10*q(c) - 4*s(c). Factor l(y).
-4*(y - 13)**2
Let q(m) be the second derivative of -m**5/50 - 7*m**4/10 - 10*m**3/3 + 72*m**2/5 - 51*m - 1. Suppose q(r) = 0. What is r?
-18, -4, 1
Let l = 16 - 14. Suppose -3*x + 10 = l*x. Factor 198 - 2*m**x - 198 - 4*m.
-2*m*(m + 2)
Determine k so that 58/5*k + 6 + 26/5*k**2 - 2/5*k**3 = 0.
-1, 15
Factor 1/2*n**4 - 9*n**2 + 16*n + 0*n**3 - 15/2.
(n - 3)*(n - 1)**2*(n + 5)/2
Let d be (204/(-170))/(4/10). Let c be 13/d - (0/(-5) + -5). Factor -2*r**2 - 4/3*r**3 + 8/3 + c*r**4 + 8/3*r.
2*(r - 2)**2*(r + 1)**2/3
Let z = -214 + 217. Suppose -6*p + 10 = -p. Factor -1/6*m**z + 0 + 0*m - 1/6*m**4 + 0*m**p.
-m**3*(m + 1)/6
Factor 507 - 50*x - 9*x**2 + 251 - 133 + 10*x**2.
(x - 25)**2
Let m = -954553/48 + 19888. Let w = 1/48 + m. Factor 1/4 + h**3 + w*h**2 + 1/4*h**4 + h.
(h + 1)**4/4
Suppose -2*y - u + 145 = 48, -2*y + u + 95 = 0. Find k, given that y*k**2 - 9*k - 3*k - 34*k**3 + 6*k**3 - 8 = 0.
-2/7, 1
Let o(m) = m**2 - 7*m + 18. Let u be o(9). Let k = -34 + u. Factor -1/6*s**3 + 0*s + 0 + 0*s**k.
-s**3/6
Let f(b) = -41*b**4 - 436*b**3 + 100*b**2 + 4*b. Let p(x) = 40*x**4 + 435*x**3 - 100*x**2 - 5*x. Let q(h) = -5*f(h) - 4*p(h). Factor q(k).
5*k**2*(k + 10)*(9*k - 2)
Let u(c) = c**4 - c**3 - 2*c**2 - 2*c - 1. Let s(x) = -5*x**4 - 91*x**3 + 2*x**2 + 2*x + 1. Let o(y) = -s(y) - u(y). Factor o(k).
4*k**3*(k + 23)
Let z be 426/4*(-3 + 32/12). Let s = -34 - z. Factor s*k - 1/2*k**2 - 1.
-(k - 2)*(k - 1)/2
Let x be 0 - (1*-6*1 - -2). Factor 4*o**5 - 8*o**3 + o**4 + 3*o**x + 2591*o**2 - 2591*o**2.
4*o**3*(o - 1)*(o + 2)
Let a(v) be the third derivative of -v**6/270 + 31*v**5/135 + 16*v**4/27 - 715*v**2. Solve a(c) = 0.
-1, 0, 32
Let w(u) be the second derivative of 0 - 1/15*u**3 + 1/20*u**4 - 1/10*u**2 + 2*u. Solve w(q) = 0.
-1/3, 1
Let w = -17 + 20. Suppose 9 = -w*s + 6*s. Factor 7*r**3 + r**2 + 2*r - 7*r**3 - r**s.
-r*(r - 2)*(r + 1)
Let c(v) = -31*v**2 + 80*v - 37. Let b(k) = k**3 + 125*k**2 - 320*k + 150. Let z(d) = -2*b(d) - 9*c(d). Factor z(y).
-(y - 11)*(y - 3)*(2*y - 1)
Let c(q) be the second derivative of 0*q**3 - 1/15*q**6 - 11*q + 1/8*q**5 + 0 - 1/24*q**4 + 0*q**2. Factor c(d).
-d**2*(d - 1)*(4*d - 1)/2
Let s(g) be the third derivative of -g**6/540 - 7*g**5/270 - 21*g**2 + 2. Factor s(i).
-2*i**2*(i + 7)/9
Let k(h) = -222*h + 1278*h - 3380*h**2 - 40 - 40. Let d(s) = -676*s**2 + 211*s - 16. Let q(y) = -16*d(y) + 3*k(y). Factor q(n).
4*(13*n - 2)**2
Let m = 12814/9 + -1422. What is b in -2/9*b**2 + m*b - 8/9 - 10/9*b**3 + 2/9*b**4 + 2/9*b**5 = 0?
-2, 1
Suppose -5 = 2*f - 27. Suppose 2 - f = -3*s. Factor 3 - 2*u**2 + 8*u**2 - 2 - 4*u + u**4 - 5*u**s + u**3.
(u - 1)**4
Let l(q) be the third derivative of 0*q**4 + 1/120*q**6 - 1/60*q**5 + 0*q**3 + 0 - 1/336*q**8 - 12*q**2 + 0*q + 1/210*q**7. Factor l(k).
-k**2*(k - 1)**2*(k + 1)
Let l(k) = -23*k + 119. Let b be l(5). Let p(g) be the third derivative of -1/480*g**5 - 9*g**2 + 0*g**3 + 0 + 0*g + 1/48*g**b. Factor p(z).
-z*(z - 4)/8
Find z, given that 12*z**5 - z**5 + 68*z**4 - 3*z**5 + 156*z**3 + 64*z**2 - 80*z = 0.
-5, -2, 0, 1/2
Let y(f) = -15*f**4 - 291*f**3 - 297*f**2 + 21. Let z(b) = 3*b**4 + 58*b**3 + 59*b**2 - 4. Let w(h) = -4*y(h) - 21*z(h). What is k in w(k) = 0?
-17, -1, 0
Determine g, given that -114 - 5*g**4 + 4*g**4 + 5*g**2 - 7*g**2 + 546 - 70*g**2 + 16*g**3 = 0.
-2, 6
Let l(a) = 4*a**3 + 8*a**2 - 4*a - 8. Let m(c) = c**2 - 1. Let f(g) = -l(g) + 12*m(g). What is s in f(s) = 0?
-1, 1
Let 21/5*k**2 - 384/5*k + 108/5 = 0. Calculate k.
2/7, 18
Let z(n) = -7*n**2 + n - 4. Let g(r) = 3*r**2 - r + 6. Let t(y) = -6*y**2 + 2*y - 13. Let k(d) = -9*g(d) - 4*t(d). Let p(h) = -5*k(h) + 2*z(h). Factor p(l).
(l - 2)*(l - 1)
Let l(a) be the second derivative of -a**4/72 - 5*a**3/2 + 91*a**2/12 - 2*a - 170. Suppose l(q) = 0. Calculate q.
-91, 1
Let z(k) be the second derivative of k**7/231 - 3*k**6/55 + 9*k**5/55 + 9*k**4/11 - 81*k**3/11 + 243*k**2/11 + 3*k - 30. Factor z(s).
2*(s - 3)**4*(s + 3)/11
Let k = -74/147 + 2896/8673. Let a = k + 542/413. Factor 2/7*v**5 - a*v**4 + 0 - 8/7*v**2 + 12/7*v**3 + 2/7*v.
2*v*(v - 1)**4/7
Let d(r) be the second derivative of r**7/140 - r**6/60 + r**5/200 + r**4/120 + 3*r - 55. Factor d(m).
m**2*(m - 1)**2*(3*m + 1)/10
Let u(r) = r + 19. Suppose c + 8 = 3*l, -c - 16 - 13 = 4*l. Let b be u(c). Factor 2/5*t**b - 8/5*t + 8/5.
2*(t - 2)**2/5
Let c = -13 - -25. Determine a, given that 16 - c - 2*a**4 - 16*a**3 - 16*a + 24*a**2 + 6*a**4 = 0.
1
Let t(s) be the first derivative of -2*s**5 + 9*s**4 - 38*s**3/3 + 6*s**2 - 20. Factor t(x).
-2*x*(x - 2)*(x - 1)*(5*x - 3)
Let b(d) = -3*d**3 + d**2 + 6*d + 2. Let r(k) = -1 + 2*k**3 + 9*k - 6*k - 6*k. Let g(p) = -3*b(p) - 5*r(p). Factor g(l).
-(l + 1)**3
Suppose 0 = -15*u + 12*u - g + 552, u = -3*g + 184. Let w = 186 - u. Determine o so that -1/2 - o**w + 5/4*o + 1/4*o**3 = 0.
1, 2
Suppose -2*k + 81 = 7*k. Suppose -k*v - 4*v = -3*v. Determine r, given that 2/13*r**2 + v + 0*r + 2/13*r**3 = 0.
-1, 0
Let 16/3*h + 1/3*h**5 - 32/3 - 2/3*h**4 - 8/3*h**3 + 16/3*h**2 = 0. What is h?
-2, 2
Factor -2662 - 2*c**4 - 2541*c + 484*c**2 - 1276*c**2 - 847*c - 62*c**3 - 12*c**3 + 6*c**3.
-2*(c + 1)*(c + 11)**3
Let g(a) be the second derivative of -a**6/24 - a**5/6 - 5*a**4/24 + 3*a**2/2 - 12*a. Let n(o) be the first derivative of g(o). Factor n(y).
-5*y*(y + 1)**2
Let x be 108/(-11) + (-8)/44. Let p = -3 - x. Factor 0 - p - 18*q**2 - q**4 + 8*q**3 - q**3 + 20*q - 1.
-(q - 2)**3*(q - 1)
Suppose -5*l + 3*l = h + 1, 5*h - 43 = 2*l. Factor -h*u**2 + 38 - 17*u**2 - 14*u**3 - 6 + 8*u - 2*u**4.
-2*(u - 1)*(u + 2)**2*(u + 4)
Let u(y) = 4*y - 22. Let q be u(10). Let v be (-10)/q*-3 - (-95)/(-75). Factor 0*b + v*b**3 + 0*b**2 + 0 - 2/5*b**4.
-2*b**3*(b - 1)/5
Let z = 14 - 12. Suppose 2 + z = b. Factor -8*k**2 + 2*k**4 + b*k**5 - 18*k**4 + 6*k**3 + 14*k**3.
4*k**2*(k - 2)*(k - 1)**2
Let -55296 - 1572160*d**3 - 3340840/3*d**4 - 1109760*d**2 - 2839714/9*d**5 - 391680*d = 0. Calculate d.
-12/17
Let l(a) be the second derivative of a**6/60 + 11*a**5/40 + 35*a**4/24 + 25*a**3/12 + 103*a. Find p, given that l(p) = 0.
-5, -1, 0
Suppose -2 = -2*u + 2*q + 4, -4*u = -2*q - 14. Factor 4*l - 8*l**3 + 0*l**2 - u*l**4 - 4*l**2 - 4*l.
-4*l**2*(l + 1)**2
Let p(h) = -h**2 - 31*h - 49. Let k(z) = -4*z**2 - 125*z - 195. Let n(g) = -6*k(g) + 26*p(g). Find j, given that n(j) = 0.
-26, -2
Let o(j) be the first derivative of -9/8*j**4 - 2*j + 0*j**2 + 1/5*j**5 + 2 + 11/6*j**3. Let o(p) = 0. Calculate p.
-1/2, 1, 2
Let o(w) be the third derivative of w**7/420 + w**6/240 - w**5/120 - w**4/48 - 23*w**2. Suppose o(b) = 0. Calculate b.
-1, 0, 1
Let o(d) = -4*d**3 - 44*d**2 - 95*d + 25. Let j(v) = 4*v**3 + 43*v**2 + 94*v - 25. Let f(n) = -5*j(n) - 4*o(n). Factor f(c).
-(c + 5)**2*(4*c - 1)
Let w be 495/220*3/((-45)/(-4)). Let 0*i + 3/5*i**2 - w = 0. Calculate i.
-1, 1
Factor -1/3*h + 2 - 1/3*h**2.
-(h - 2)*(h + 3)/3
Suppose 3*i + 3 = -2*m, -4*m - i + 25 = 26. Find d such that 3/5*d**4 + 3/5*d**5 + 0 - 6/5*d**3 + m*d**2 + 0*d = 0.
-2, 0, 1
Factor -48/7 - 52/7*b - 4/7*b**2.
-4*(b + 1)*(b + 12)/7
Let p = 14 + -9. Find d such that -p*d**2 + 8*d**2 - 6*d + 4 - 4 + 3*d**3 = 0.
-2, 0, 1
Let m be -4 + 1 - (28/(-4) + 4). Suppose 5*x + 5*x = -m*x. Factor 0 + 0*v - 1/3*v**4 + x*v**2 - 1/3*v**3.
-v**3*(v + 1)/3
Let z(n) be the first derivative of -3/2*n - 2 - 1/4*n**3 + 9/8*n**2. Factor z(g).
-3*(g - 2)*(g - 1)/4
Let m(t) be the first derivative of -t**7/840 + 7*t**6/360 - t**5/8 + 3*t**4/8 + 38*t**3/3 + 19. Let r(v) be the third derivative of m(v). Solve r(q) = 0.
1, 3
Let 0 + 15/8*w**2 + 1/8*w**3 + 0*w = 0. What is w?
-15, 0
Let s(t) be the first derivative of t**4/32 + t**3/16 + 28*t + 20. Let n(o) be the first derivative of s(o). Factor n(v).
3*v*(v + 1)/8
Let o(k) = 782*k - 2344. Let d be o(3). Determine r, given that -4*r**d + 0 - 9*r**5 + 62/5*r**4 + 7/5*r**3 - 4/5*r = 0.
-2/5, -2/9, 0, 1
Let j(h) be the third derivative of 0 + 0*h**4 - 1/945*h**7 + 0*h**5 - 4*h**2 - 1/540*h**6 + 0*h**3 + 0*h. Factor j(d).
-2*d**3*(d + 1)/9
Suppose 3*n - 4*m - 552 = 0, -4*m = -m - 9. 