 -3*m + 3 + l*m**2 = 0. What is m?
2
Factor 11/4*n**2 - 77/4*n + 12 + 1/4*n**4 + 17/4*n**3.
(n - 1)**2*(n + 3)*(n + 16)/4
Let x(d) be the first derivative of d**3/4 + 429*d**2/4 + 61347*d/4 + 452. Factor x(w).
3*(w + 143)**2/4
Let d be (29 - 12 - 15) + ((-48753)/(-5) - -3). Factor -174/5*l**2 - d + 5046/5*l + 2/5*l**3.
2*(l - 29)**3/5
Let q = 164614 - 3127660/19. Suppose -8/19*g + q*g**2 - 24/19 + 2/19*g**3 = 0. What is g?
-3, -2, 2
Let m(s) be the third derivative of s**6/30 - s**5/30 + s**4/24 - 2*s**2. Let r be m(1). Factor 9*q**2 + 5*q**3 + 7*q**r - 5*q**3 - 4*q**3.
3*q**2*(q + 3)
Suppose -480*h + 476*h = -100. Let 52 + a**3 + h - 64*a**2 - 3*a**3 - 145 + 134*a = 0. Calculate a.
-34, 1
Suppose -5*u = -5*f - 25, -4*f - 17 = 3*u - 6*u. Suppose 0 = u*v + 38 - 44. Factor -4/3*d**2 + 4/3 + 2*d**3 - v*d.
2*(d - 1)*(d + 1)*(3*d - 2)/3
Suppose -519 + 513 = 3*w, 2*g - 3*w - 12 = 0. Let t(y) be the first derivative of -7/3*y**g + 0*y - 33 + y**2. Factor t(u).
-u*(7*u - 2)
Let q(s) be the first derivative of s**6/135 + s**5/45 - s**4/18 + 143*s + 12. Let p(v) be the first derivative of q(v). Find r such that p(r) = 0.
-3, 0, 1
Solve -148 + 1/9*q**2 - 329/9*q = 0.
-4, 333
Let v = 12316 - 234002/19. Let -2/19*q**3 + v*q + 10/19 - 10/19*q**2 = 0. Calculate q.
-5, -1, 1
Let z be (-30 + 32)/(2/2). Let v(g) be the third derivative of 1/10*g**5 + 0*g**3 + 0 + 0*g**4 + 1/40*g**6 - 1/70*g**7 + 9*g**z + 0*g. Factor v(a).
-3*a**2*(a - 2)*(a + 1)
Suppose -7/2*o**2 + 1/2*o**3 + 1/2*o**4 + 3 - 1/2*o = 0. Calculate o.
-3, -1, 1, 2
Factor 167/4*q**2 + 0 - 21*q - 45/4*q**3.
-q*(5*q - 3)*(9*q - 28)/4
Let h(j) be the second derivative of j**5/50 - 79*j**4/6 - 794*j**3/15 - 3087*j. Determine o, given that h(o) = 0.
-2, 0, 397
Let -33*k**4 - 2*k**5 - 1070 - 94*k**3 + 537 + 108*k + 585 - 31*k**2 = 0. Calculate k.
-13, -2, -1/2, 1
Let c = 3869/3 + -1273. Let f(i) be the third derivative of 0 - 1/15*i**5 + 5/3*i**4 + 12*i**2 + 0*i - c*i**3. Solve f(d) = 0 for d.
5
Suppose -103*b - 123*b + 381 = -99*b. Factor 12/7*g + 3/7*g**4 + 24/7 - 18/7*g**2 - 3/7*g**b.
3*(g - 2)**2*(g + 1)*(g + 2)/7
Solve 42 + 135*w**3 - 265*w**3 - 656*w + 155*w**3 + 805*w**2 + 33 + 57 = 0 for w.
-33, 2/5
Let y(z) be the first derivative of -z**3/3 - 814*z**2 - 662596*z + 2502. Factor y(g).
-(g + 814)**2
Let i = 100 - 98. Factor -p + 3*p**4 - 4*p**3 + i*p**2 - 5*p**4 + 5*p.
-2*p*(p - 1)*(p + 1)*(p + 2)
Let u(n) be the third derivative of 0*n + 65/6*n**3 + 0 - 1/12*n**5 + 5/2*n**4 + 23*n**2. Factor u(m).
-5*(m - 13)*(m + 1)
Let z be (72/(-11880) + (-3)/(-11))*(-4 - -7 - -3). Find k, given that 6/5*k**3 + 0*k - z*k**2 + 0 + 2/5*k**4 = 0.
-4, 0, 1
Let k(w) be the second derivative of 189*w**5/40 + 19*w**4/120 - w**3/30 - 4535*w. Find r, given that k(r) = 0.
-2/35, 0, 1/27
Suppose -71*j = -66*j - 10. Suppose -3*d**j + 8 + 19 - 9*d - 27 = 0. Calculate d.
-3, 0
Factor -3/7*p**3 - 4/7*p + 13/7*p**2 + 0.
-p*(p - 4)*(3*p - 1)/7
Let v be (-36)/8 + (-65)/(-10). Let u(a) be the second derivative of 0 + 1/15*a**3 - 1/10*a**4 + 0*a**v + 16*a. Factor u(q).
-2*q*(3*q - 1)/5
Suppose 0 = 3541*z + 358*z - 5937 - 5760. Determine i, given that 3/8*i**4 - 15/2 + 51/8*i**z - 159/8*i**2 + 21*i - 3/8*i**5 = 0.
-5, 1, 2
Let x(z) be the second derivative of z**7/42 - 9*z**6/10 + 193*z**5/20 - 39*z**4/4 - 169*z**3/3 - 88*z - 15. Suppose x(g) = 0. What is g?
-1, 0, 2, 13
Let o(f) be the second derivative of 47*f**5/150 + f**4/30 - 75*f**2/2 - 10*f + 1. Let w(q) be the first derivative of o(q). Find z such that w(z) = 0.
-2/47, 0
Let d(a) be the third derivative of 2*a**5/105 + 27*a**4/28 + 95*a**3/21 + 3074*a**2 - 2. Factor d(o).
2*(o + 19)*(4*o + 5)/7
Let k(j) = -2*j**2 + 37*j - 19. Let b be k(18). Let s be b/14*(-28 - -22). Solve -3/7*r**2 - s + 6/7*r = 0.
1
Let n(k) be the third derivative of 9/35*k**7 + 0*k - 25/2*k**4 - 1/112*k**8 - 61/40*k**6 + 49*k**2 + 0*k**3 - 9*k**5 + 0. Factor n(x).
-3*x*(x - 10)**2*(x + 1)**2
Let i(a) be the second derivative of -99*a**5/5 - 133*a**4/4 - a**3/2 - 56*a + 13. Factor i(z).
-3*z*(z + 1)*(132*z + 1)
Let t(i) be the third derivative of i**7/840 + i**6/120 - i**5/40 - 3*i**4/8 - 9*i**3/8 + 1889*i**2. Factor t(m).
(m - 3)*(m + 1)*(m + 3)**2/4
Factor 23/3*o - 11/3*o**2 + 35/3 + 1/3*o**3.
(o - 7)*(o - 5)*(o + 1)/3
Determine c so that 178*c + 92*c - 524*c**2 - 400*c**2 + 1329*c**2 - 5*c**5 + 135*c**3 - 5*c**4 = 0.
-3, -1, 0, 6
Determine i so that 8096*i**4 - 4062*i**4 - 4027*i**4 + 3*i**3 = 0.
-3/7, 0
Let z(p) be the third derivative of 5*p**8/112 + 17*p**7/21 + 37*p**6/6 + 51*p**5/2 + 495*p**4/8 + 90*p**3 - 181*p**2 + 2*p. Factor z(o).
5*(o + 1)*(o + 3)**3*(3*o + 4)
Let p = -8727/1516 - -3224/379. Factor 3/2*i + 0 + i**3 - p*i**2.
i*(i - 2)*(4*i - 3)/4
Let c(r) = 24*r - 6. Let n be c(1). Suppose -2*z**2 - 1 + n*z - 10 - 5 = 0. Calculate z.
1, 8
Let l(k) = 32*k**3 - 1172*k**2 - 1183*k + 2340. Let v(d) = 11*d**3 - 391*d**2 - 394*d + 780. Let p(h) = -6*l(h) + 17*v(h). Find o such that p(o) = 0.
-2, 1, 78
Let f(g) be the first derivative of g**8/224 + g**7/35 + g**6/20 + 39*g**2/2 - 250. Let x(w) be the second derivative of f(w). Factor x(z).
3*z**3*(z + 2)**2/2
Let r(q) = 843*q**2 - 798*q - 804. Let n(y) = -125*y**2 + 114*y + 115. Let h(c) = -27*n(c) - 4*r(c). Factor h(b).
3*(b + 1)*(b + 37)
Let j = 41367 + -82733/2. Let l(q) be the first derivative of -2/3*q**3 + q - j*q**4 + 41 + 1/5*q**5 + 1/6*q**6 + 1/2*q**2. Let l(n) = 0. What is n?
-1, 1
Let v be ((-82)/6)/(287/(-13407)). Let h = v + -638. Factor h*g**4 - 6/7*g**2 + 0 + 3/7*g**3 + 0*g.
3*g**2*(g - 1)*(g + 2)/7
Let f(h) = h**3 + h**2 + 5. Let i(g) = 22808*g**3 - 597*g**2 + 4*g + 35. Let m(y) = 7*f(y) - i(y). Factor m(c).
-c*(151*c - 2)**2
Let s(l) be the second derivative of -1/12*l**4 - 361/2*l**2 - 19/3*l**3 - 232*l + 0. Find j, given that s(j) = 0.
-19
Let r(g) be the second derivative of -g**7/84 - 7*g**6/15 - 6*g**5 - 104*g**4/3 - 256*g**3/3 - 571*g. Let r(w) = 0. What is w?
-16, -4, 0
Factor -2 - 60*h**2 - 734*h**3 + 1485*h**3 + 33*h - 722*h**3.
(h - 1)**2*(29*h - 2)
Let h(j) be the third derivative of -j**5/90 - j**4/18 + j**3/3 + 2482*j**2. Find v, given that h(v) = 0.
-3, 1
Let v(l) = -l**3 + 17*l**2 - 18*l + 34. Let x be v(16). Suppose -2*m - 5*r = 10, -x*r = 4*m + 3*r. Factor o**2 + 0*o + o**2 - 3*o - m*o**2.
-3*o*(o + 1)
Let a = -539386 - -539386. Suppose 0*s + 162*s**2 + a + 2/9*s**4 + 12*s**3 = 0. What is s?
-27, 0
Let y(t) be the second derivative of -2*t**7/21 - 4*t**6/15 + 12*t**5/5 + 14*t**4/3 - 22*t**3/3 - 24*t**2 + 35*t + 7. Solve y(r) = 0.
-4, -1, 1, 3
Let d(u) = 426*u**3 + 193*u**2 + 791*u - 935. Let m(p) = 34*p**3 + 16*p**2 + 66*p - 78. Let j(x) = -4*d(x) + 50*m(x). Solve j(r) = 0 for r.
-4, 1, 10
Let z(c) = -c**3 + 48*c**2 - 177*c + 65. Let y be z(44). Factor -92 + 151*n - 112*n**2 + y*n + 12*n**3 + 181 + 79.
4*(n - 7)*(n - 3)*(3*n + 2)
Let t(b) be the third derivative of b**6/40 - 404*b**5/15 + 218159*b**4/24 - 72361*b**3/3 + 2897*b**2. Suppose t(h) = 0. What is h?
2/3, 269
Let t(f) be the first derivative of 3/2*f**2 - 3/2*f**4 - 9*f + 165 + 6*f**3 - 9/5*f**5 + 1/2*f**6. Determine d, given that t(d) = 0.
-1, 1, 3
Let f(d) = d**2 - 3*d**2 + d - d + 1 - d**3 - 3*d. Let n be f(-4). What is u in -4*u + 2*u**2 + 0*u**2 - n + 45 = 0?
0, 2
Suppose -8*t - 2/3*t**2 - 64/3 = 0. Calculate t.
-8, -4
Let s be 52 + (1900/450 - 55). Factor -s*y**2 - 4/3*y + 2/9*y**3 + 1/9*y**4 + 0.
y*(y - 3)*(y + 1)*(y + 4)/9
Let k(q) be the third derivative of -q**5/20 + 13*q**4/4 - 60*q**3 - 1182*q**2. Suppose k(y) = 0. What is y?
6, 20
Let z(q) be the third derivative of 0 + 1/21*q**4 - 1/1260*q**6 + 15*q**2 + 0*q + 0*q**5 + 5/6*q**3. Let g(l) be the first derivative of z(l). Factor g(f).
-2*(f - 2)*(f + 2)/7
Let i(f) be the second derivative of -1/28*f**4 + 0 - 1/7*f**3 + 0*f**2 + 3/140*f**5 - 116*f. Factor i(a).
3*a*(a - 2)*(a + 1)/7
Let t(i) be the first derivative of -2*i**3/3 + 34*i**2 - 800*i - 39. Let v(p) = 2*p**2 - 65*p + 800. Let m(k) = 5*t(k) + 4*v(k). Factor m(h).
-2*(h - 20)**2
Suppose u - 46 = -31. Find o such that -5*o**4 - 28 + 3 - 5*o**3 + 2*o + 15 + u*o**2 + 3*o = 0.
-2, -1, 1
Let t(a) = -a**2 - 892*a + 1822. Let g(i) = -4*i**2 - 1771*i + 3643. Let m(q) = 2*g(q) - 5*t(q). Factor m(s).
-3*(s - 304)*(s - 2)
Factor 394/7*q**2 -