, -3*s + m + 12 = 0. Factor 5*c**4 + 20*c**s - 7*c**2 + 4*c**5 - 15*c**3 + 2*c**2 - 9*c**5.
-5*c**2*(c - 1)**2*(c + 1)
Let g(n) be the first derivative of n**3/3 + 176*n**2 - 1065*n - 931. Suppose g(b) = 0. Calculate b.
-355, 3
Let m(r) be the first derivative of 2*r**4 + 15*r**3 + 37*r**2/2 + 7*r - 43. Let g(x) = 3*x**3 + 15*x**2 + 12*x + 2. Let f(s) = 7*g(s) - 2*m(s). Factor f(k).
5*k*(k + 1)*(k + 2)
Let r(l) be the third derivative of 0 - 1/54*l**4 + 1/540*l**6 - 4/3*l**3 - 1/108*l**5 + 10*l**2 + 0*l. Let k(o) be the first derivative of r(o). Factor k(p).
2*(p - 2)*(3*p + 1)/9
Let s(f) be the first derivative of 3/34*f**4 - 16/17*f**2 + 24/17*f - 10/51*f**3 + 78. Suppose s(v) = 0. Calculate v.
-2, 2/3, 3
Suppose -13*q + 10*q - 7 = 4*o, -5*q - 27 = -o. Solve 49*c**2 + 50*c**2 - 25*c - 100*c**o = 0 for c.
-25, 0
Let y be 1 + 56/5 + (-5)/25. Let k be (23/((-345)/y))/(2/(-5)). Factor 1/2 - f**k - 1/2*f.
-(f + 1)*(2*f - 1)/2
Let f(j) be the first derivative of -j**4/6 - 1346*j**3/9 + 1365. Factor f(u).
-2*u**2*(u + 673)/3
Let y(p) be the third derivative of -p**5/120 - 1073*p**4/24 - 1151329*p**3/12 + 2741*p**2 + 2. Factor y(n).
-(n + 1073)**2/2
Let b = -53 + 55. Let l(o) = 611 + 2*o**b - 611 - 8*o. Let c(f) = -10*f**2 + 41*f. Let v(z) = -2*c(z) - 11*l(z). Solve v(n) = 0 for n.
0, 3
Let 3*x**5 - 24*x - 79*x**4 - 13*x**4 + 107*x**4 - 44*x**2 + 3*x**3 - 19*x**2 - 30*x = 0. What is x?
-3, -1, 0, 2
Let v(t) be the first derivative of 2/21*t**3 - 56 + 1058/7*t + 46/7*t**2. Solve v(m) = 0.
-23
Let w(c) be the first derivative of 2*c**6/15 + 412*c**5/25 - 209*c**4/5 + 28*c**3 - 1547. Solve w(v) = 0.
-105, 0, 1
Let u(k) = 3*k**2 - 18*k + 15. Let x be (4*1)/1 + -25 + 41. Let n(v) = v**2 - v. Let q(p) = x*n(p) - 5*u(p). Solve q(j) = 0 for j.
-15, 1
Let n(i) be the first derivative of 2*i**3/45 - 122*i**2/15 - 82*i/5 + 5202. Find a, given that n(a) = 0.
-1, 123
Let c(t) = -t**3 - 5*t**2 - 5*t + 5. Let a be c(-3). Factor 12*g + 3*g**a - 108 + 0*g**2 - 12*g + 48*g.
3*(g - 2)*(g + 18)
Suppose 325*g + 36 = 334*g. Let 60*x + 24*x**3 + 43*x**g - 21*x**4 - 20*x**4 + 1 - 1 - 86*x**2 = 0. Calculate x.
-15, 0, 1, 2
Let w(m) = -8*m**3 + 95*m**2 - 75*m - 20. Let g be w(11). Determine z, given that g*z**4 - 16/7*z**2 - 52/7*z**3 + 0 + 0*z = 0.
-2/7, 0, 4
Let l(g) be the first derivative of g**4/8 - 8*g**3 + 179*g**2/4 - 66*g - 2223. Factor l(a).
(a - 44)*(a - 3)*(a - 1)/2
Let w(b) = b**3 + 12*b**2 + b - 21. Let m be w(-12). Let f = m - -35. Solve -34*h**3 + 2*h**4 + 14*h**3 + 3*h**4 + 20*h**f + 0*h**4 = 0.
0, 2
Let s be 15/(-60) + 1/((-16)/(-52)). Factor -9*k**3 - 12*k + 24*k**2 - 11*k**3 - 3 + 3*k**4 + 5*k**s + 3.
3*k*(k - 2)**2*(k - 1)
Find t, given that 2/21*t**4 - 10/7*t**2 + 36/7 + 10/21*t**3 - 30/7*t = 0.
-6, -3, 1, 3
Let d = 48/131 - 1165/3537. Let k(o) be the first derivative of 0*o - 28/45*o**5 - 20 - 10/3*o**4 - 100/27*o**3 + 125/9*o**2 - d*o**6. Factor k(f).
-2*f*(f - 1)*(f + 5)**3/9
Let w(z) = -2*z**2 - 480*z + 948. Let a(p) = -3*p**2 - 480*p + 948. Let r(q) = 5*a(q) - 6*w(q). Determine m so that r(m) = 0.
2, 158
What is i in 72 + 1858*i - 2093*i - 582 - 186 - i**2 = 0?
-232, -3
Factor 3/4*s**2 + 450 + 165/4*s.
3*(s + 15)*(s + 40)/4
Let p(b) be the third derivative of 5*b**8/336 + b**7/21 - b**6/8 - b**5/3 + 5*b**4/6 + 1181*b**2. Find g, given that p(g) = 0.
-2, 0, 1
Let w(u) = -5*u**3 + 194*u**2 + 865*u + 666. Let l(y) = -55*y**3 + 2135*y**2 + 9515*y + 7325. Let a(b) = 6*l(b) - 65*w(b). Factor a(g).
-5*(g - 44)*(g + 1)*(g + 3)
Let y be (19 - (-792)/(-42))*21. Suppose 1/2*d**2 - 1/2*d**y + 4*d - 6 = 0. What is d?
-3, 2
Suppose 0*c + 4*c = 0. Suppose -2*s - 13 = -5*h, c = h + 4*h - 3*s - 12. Suppose -25*b**3 + 3*b**h - 2*b**4 - 13*b**4 + 4*b + 23*b**4 + 10*b**2 = 0. What is b?
-1/4, 0, 1, 2
Suppose 0 = -3*u + 18 + 72. Let k be (-12)/u + (-156)/(-15). Factor -39*i**2 - 34*i**2 + 75*i**2 - k*i.
2*i*(i - 5)
Let x(s) = s**2 - 7176*s + 4291240. Let o(i) = 9*i**2 - 71760*i + 42912396. Let a(u) = -2*o(u) + 21*x(u). Determine y so that a(y) = 0.
1196
Let a be -6*4/36*18. Let s be (-1 - 12/(-18))*a/9. Solve 0 - s*k**4 + 20/3*k**3 - 100/3*k**2 + 500/9*k = 0.
0, 5
Let q(i) be the first derivative of 27*i**3 - 81/2*i**2 + 3/5*i**5 + 0*i - 27/4*i**4 + 34. Let q(d) = 0. Calculate d.
0, 3
Let k(l) be the third derivative of -l**8/1512 + 23*l**7/945 + 193*l**6/540 + 493*l**5/270 + 14*l**4/3 + 20*l**3/3 - 13*l**2 + 2*l - 2. Solve k(p) = 0.
-3, -2, -1, 30
Let s(a) be the first derivative of -a**5/180 + a**4/24 + 2*a**3/9 - a**2/2 + 8*a - 75. Let j(r) be the second derivative of s(r). Factor j(x).
-(x - 4)*(x + 1)/3
Factor -1/3*q**2 - 201 + 604/3*q.
-(q - 603)*(q - 1)/3
Let k(p) be the third derivative of p**5/30 + 1439*p**4/6 + 2070721*p**3/3 + 2*p**2 - 925. Determine n, given that k(n) = 0.
-1439
Let h be 42*5/(105/119). Let w be 5 - -2*(-581)/h. Factor -12/17*q + w*q**2 + 18/17.
2*(q - 3)**2/17
Let c(r) be the second derivative of 7*r**6/30 + r**5/3 - 53*r**4/18 + 34*r**3/9 - r**2/2 + 3979*r. Solve c(i) = 0 for i.
-3, 1/21, 1
Let s be ((-12)/(-120))/(16 - 15) - 19/(-110). What is c in -1/11*c**2 - s*c - 2/11 = 0?
-2, -1
Let v(i) be the third derivative of -i**7/90 - 151*i**6/120 - 53*i**5/30 + 16*i**4/9 + 3*i**2 + 73. Solve v(t) = 0.
-64, -1, 0, 2/7
Let d be 1*(12/(-8) - 396/(-360))*-8. Factor -d*u + 0 - 8/5*u**3 + 28/5*u**2 - 4/5*u**4.
-4*u*(u - 1)**2*(u + 4)/5
Suppose -i + 2*v - 3015 + 3014 = 0, -15 = -3*i - 3*v. Let d(y) be the second derivative of -1/11*y**2 + 2/33*y**i + 21*y + 0 - 1/66*y**4. Factor d(g).
-2*(g - 1)**2/11
Suppose i + 20 = 2*q + 78, 3*q + 86 = 2*i. Let z be 0 - (q/(-20) - (7 + -5)). Suppose -1/4*m**2 + z*m + 0 = 0. Calculate m.
0, 2
Let c(u) be the third derivative of -u**7/210 + 97*u**5/60 - 25*u**4/2 - 66*u**3 - 3795*u**2 + 2*u + 1. Factor c(k).
-(k - 6)**2*(k + 1)*(k + 11)
Let q be -34 - ((-7)/9 - (-6)/(-27)). Let o = q - -48. Let 14 - 2 - 16*u**2 - o*u + 19*u**2 = 0. Calculate u.
1, 4
Let y(m) be the second derivative of 5*m**7/231 - 38*m**6/165 - 191*m**5/110 + 340*m**4/33 + 100*m**3/11 - 26*m - 10. Determine b, given that y(b) = 0.
-5, -2/5, 0, 3, 10
Let m(a) be the first derivative of a**5/4 - 5*a**4/6 - 5*a**3/2 - 57*a - 30. Let g(w) be the first derivative of m(w). Let g(s) = 0. Calculate s.
-1, 0, 3
Let h(m) be the third derivative of -m**6/1200 + 31*m**5/600 - 191*m**4/240 + 161*m**3/60 - 2137*m**2. Determine g, given that h(g) = 0.
1, 7, 23
Let z be (144/120)/((-6)/10) + (-80)/(-20). Determine n so that -1/5*n**4 + 4/5*n**z + 0 - 2/5*n**3 + 8/5*n = 0.
-2, 0, 2
Let y(r) be the second derivative of -9*r**5/20 + 17*r**4/2 + 441*r - 1. Find b such that y(b) = 0.
0, 34/3
Let q = 48309 - 241533/5. Let -q + 38/5*o - 16/5*o**3 - 2*o**2 = 0. What is o?
-2, 3/8, 1
Let p = -181 - -184. Suppose -3*y + 8*d = 3*d + 13, -16 = y - 4*d. Factor 2*i**4 - 7*i**4 + 2*i**y + 6*i**2 - 3 - 3*i - 3*i**5 + 3*i**3 + 3*i**p.
-3*(i - 1)**2*(i + 1)**3
Let t(o) be the second derivative of -42*o - 1/30*o**4 - 14*o**2 - 71/15*o**3 + 0. Factor t(z).
-2*(z + 1)*(z + 70)/5
Let z(i) be the second derivative of i**4/4 - 221*i**3 + 1323*i**2/2 - 1868*i. Factor z(q).
3*(q - 441)*(q - 1)
Let m(w) be the third derivative of 0*w**3 + 1/420*w**6 + 52*w**2 - 1/7*w**4 - 11/210*w**5 + 0*w + 0. Factor m(y).
2*y*(y - 12)*(y + 1)/7
Let d(q) be the third derivative of -35*q**8/48 + 65*q**7/3 - 839*q**6/8 - 430*q**5/3 + 1895*q**4/6 - 200*q**3 + 374*q**2 + 2. What is u in d(u) = 0?
-1, 2/7, 4, 15
Suppose 32/7*z**2 - 5/7*z**3 + 18/7 - 57/7*z = 0. What is z?
2/5, 3
Find p, given that 34/7 + 184/21*p**2 + 2/21*p**4 - 44/21*p**3 - 244/21*p = 0.
1, 3, 17
Let b(z) = -z**2 + 13071*z - 52268. Let i be b(4). Find y, given that i - 4/15*y**2 - 2/15*y**4 - 2/5*y**3 + 0*y = 0.
-2, -1, 0
Let b(a) be the second derivative of a**5/5 - a**4/3 - 8*a**3/3 + 8*a**2 - 414*a. Let b(z) = 0. What is z?
-2, 1, 2
Let v(a) be the third derivative of 0*a + 30 - 1/40*a**6 + 3*a**2 - 1/20*a**5 + 2*a**3 + 1/2*a**4. Factor v(h).
-3*(h - 2)*(h + 1)*(h + 2)
Let c = 95 - 93. Factor 8*n**c - 2*n**3 + n**3 + 0*n**3 + 3*n**3.
2*n**2*(n + 4)
Let q = 40247/14 + -20099/7. Determine o so that q*o**2 + 0 + 1/2*o**4 - 5/2*o**3 - 3/2*o = 0.
0, 1, 3
Let b be 1 - ((-1)/3)/(15/90). Let -110*m**2 - 291*m**b - 263*m**3 - 2*m**4 + 496*m*