 - 4*b**3 - 51*b**2 - 72*b - 2395. Find m such that z(m) = 0.
-2, -1, 3, 4
Factor 223*t**2 - 496*t**2 + 700 + 278*t**2 - 195*t.
5*(t - 35)*(t - 4)
Let b be ((-78)/91)/((-1)/(7/2)). Let j be (2 - b)*0*(-7)/28. Factor 0*w**2 + 0 - 2*w**5 + 0*w + j*w**3 - 4/11*w**4.
-2*w**4*(11*w + 2)/11
Factor 19*m**2 - 667 - 649 - 16*m**2 + 194 + 15*m.
3*(m - 17)*(m + 22)
Let h = 39452 - 39450. Factor 1/2*y**2 - 5/2*y + h.
(y - 4)*(y - 1)/2
Factor 8092*z - 16230*z + 88 + 8096*z - z**2.
-(z - 2)*(z + 44)
Let g be 1366872/66 + -4 - 2/11. Factor 0*z**2 - 5*z**2 + 20716*z - g*z - 5*z**3.
-5*z*(z - 1)*(z + 2)
Let h(z) be the first derivative of z**4/6 + 62*z**3/9 - 58*z**2 + 144*z + 1382. Determine s so that h(s) = 0.
-36, 2, 3
Suppose 0*r = -r + 2. Let t be (-6)/24 + 182/56 + -1 + 1. What is z in -2 + z**4 - r*z - 91*z**3 + 1 + 93*z**t = 0?
-1, 1
Let s be -1*1/2*(-83 + 69). Suppose -s*c = -14*c. Factor 12/5*i**2 - 3/5*i**3 + 0*i + c.
-3*i**2*(i - 4)/5
Factor 1034/5*v - 1032/5 - 2/5*v**2.
-2*(v - 516)*(v - 1)/5
Let l(k) = 84*k**3 - 132*k**2 - 1512*k - 3360. Let j(f) = -4*f**3 + 6*f**2 + 72*f + 160. Let b(u) = 64*j(u) + 3*l(u). Factor b(g).
-4*(g - 4)*(g + 2)*(g + 5)
Let k(r) = r**3 - 7127*r**2 + 9*r - 18. Let l(t) = t**3 - 5345*t**2 + 7*t - 14. Let w(h) = -14*k(h) + 18*l(h). Factor w(v).
4*v**2*(v + 892)
Suppose 7*j + 38*j**2 - 42*j**2 + 21*j + 47*j**2 - 44*j**2 - 27 = 0. Calculate j.
1, 27
Let h(o) be the third derivative of -o**5/240 - 23*o**4/24 - 43*o**3/2 + 14*o**2 - 63*o. Find r such that h(r) = 0.
-86, -6
Let c(d) = 3*d**4 - d**3 - 3*d**2 - d + 2. Let v(r) = -14*r**4 + 458*r**3 - 244*r**2 + 22*r + 12. Let a(h) = -6*c(h) + v(h). Suppose a(n) = 0. What is n?
0, 1/4, 14
Factor 4/5*w**3 - 2356/5*w**2 - 9488/5 - 9472/5*w.
4*(w - 593)*(w + 2)**2/5
Let h(o) be the first derivative of 15*o**2 - 2/3*o**3 + 32*o + 137. Factor h(v).
-2*(v - 16)*(v + 1)
Solve -100/3*u**2 + 1/3*u**4 - 128/3*u + 29/3*u**3 + 0 = 0 for u.
-32, -1, 0, 4
Let q(r) be the second derivative of -r**7/14 - 9*r**6/10 - 39*r**5/10 - 9*r**4/2 + 27*r**3/2 + 81*r**2/2 - 6529*r. Factor q(c).
-3*(c - 1)*(c + 1)*(c + 3)**3
Let 1/5*u**3 - 2*u**2 + 32/5*u - 32/5 = 0. Calculate u.
2, 4
Let a(u) be the third derivative of u**6/420 + 3*u**5/35 + 5*u**4/28 - 34*u**3/21 - 147*u**2 + 5*u. Factor a(i).
2*(i - 1)*(i + 2)*(i + 17)/7
Suppose 3*b + 7 = -4*o, -5*o - 26 = -6*b + 4*b. Let -2*y**3 + 47*y**4 - 13*y**3 - 51*y**4 - 9*y**b = 0. Calculate y.
-6, 0
Let z(w) = 2*w**2 + 127*w - 609. Let b(t) = 4*t**2 + 128*t - 612. Let y(f) = 3*b(f) - 4*z(f). Factor y(u).
4*(u - 25)*(u - 6)
Let n(s) = 6*s**2 + 140*s + 50. Let p be n(-23). Let f(m) be the first derivative of 3/20*m**p - 2 + 0*m + 1/5*m**3 + 0*m**2. Factor f(o).
3*o**2*(o + 1)/5
Let c(j) be the first derivative of j**3 + 4*j**2 - 9*j + 12. Let q(w) = -25*w**2 - 64*w + 72. Let o(t) = -51*c(t) - 6*q(t). What is g in o(g) = 0?
-9, 1
Let m(h) be the first derivative of h**4/6 - 4*h**3 + 11*h**2 - 21*h - 54. Let u(j) be the first derivative of m(j). Factor u(x).
2*(x - 11)*(x - 1)
Let d(x) be the second derivative of x**7/420 - x**6/30 + 3*x**5/20 - x**4/3 + x**3/3 - 2*x**2 - 45*x. Let w(n) be the second derivative of d(n). Factor w(s).
2*(s - 4)*(s - 1)**2
Let s(o) be the first derivative of 4*o**4/7 + 310*o**3/21 - 103*o**2/7 - 120*o/7 - 1927. Factor s(q).
2*(q - 1)*(q + 20)*(8*q + 3)/7
Factor 29*v**5 + 20*v**4 + 2659*v**3 - 25*v**5 - 2643*v**3.
4*v**3*(v + 1)*(v + 4)
Suppose 0 = -0*n - n + 5*b - 311, 4*n - 3*b + 1193 = 0. Let k be -18*(n/72 - -4). What is p in -128/3 + 2/3*p**3 + 160/3*p - 34/3*p**k = 0?
1, 8
Let u(c) be the first derivative of -2*c**5/5 - 330*c**4 - 108900*c**3 - 17968500*c**2 - 1482401250*c - 450. Factor u(n).
-2*(n + 165)**4
Let k(o) be the third derivative of -o**8/784 - 33*o**7/490 - 219*o**6/280 + 173*o**5/28 - 117*o**4/7 + 162*o**3/7 - 951*o**2. Solve k(m) = 0 for m.
-18, 1
Let k(q) be the second derivative of 0 - 1/3*q**2 - 1/90*q**5 + 1/27*q**3 + 1/18*q**4 + 25*q. Factor k(s).
-2*(s - 3)*(s - 1)*(s + 1)/9
Let p(c) be the third derivative of 11*c**8/6720 + c**7/168 - c**6/240 + c**5/60 - 3*c**3 + 5*c**2 - 6. Let v(u) be the third derivative of p(u). Factor v(r).
3*(r + 1)*(11*r - 1)
Determine q, given that 1/7*q**5 + 170/7*q**4 - 170/7*q**2 - 169/7*q + 24*q**3 + 0 = 0.
-169, -1, 0, 1
Let d(r) = -r - 8. Let u be d(-8). Suppose u*n = -4*v - n + 33, 4*n = v + 13. Suppose -8 - 17*a**2 - 618*a**3 + 622*a**3 + v*a + 13*a + a**2 = 0. What is a?
1, 2
Let f(b) be the second derivative of b**4/30 - 892*b**3/15 + 198916*b**2/5 - 648*b. Find i such that f(i) = 0.
446
Find f, given that 2246/7*f**2 - 104/7*f**4 + 578/7*f**3 - 432/7 + 1132/7*f = 0.
-2, -1, 1/4, 108/13
Let u(s) = s**3 + 2*s**2 - 4*s - 4. Let t be u(2). Suppose -7 = t*w - 27, -w = 4*d - 5. Factor 5/4*a**3 + 25/4*a**2 + 5*a + d.
5*a*(a + 1)*(a + 4)/4
Let g(b) be the second derivative of 5*b**4/12 - 6850*b**3/3 + 4692250*b**2 + 12*b + 56. Determine f so that g(f) = 0.
1370
Let u(r) = 31*r - 15. Let m(z) = 6*z - 3. Let f(l) = 11*m(l) - 2*u(l). Let h be f(3). What is i in -5*i**2 - i - 4*i**2 + h*i - 11*i**2 = 0?
0, 2/5
Let x be -1 - (-5 + -2 + 1). Let u(v) = -v**3 - 11*v**2 - 22*v - 20. Let m be u(-9). Let -10*r**2 - m + 2*r**2 + 16 - 28*r**x + 8*r**4 + 28*r**3 = 0. What is r?
-1, 0, 2/7, 1
Let g(h) be the first derivative of -2/27*h**3 - 2/9*h + 2/9*h**2 - 94. Factor g(r).
-2*(r - 1)**2/9
Let z = 1703/94 - 182507/12502. Let h = z - 56/19. Find r such that 8/7*r - 60/7*r**3 - h*r**2 + 0 = 0.
-2/5, 0, 1/3
Let l(z) = 65*z**4 - 10*z**3 + 195*z**2 + 3805*z - 11485. Let c(r) = -2*r**4 - 2*r**3 - r**2 + r - 1. Let q(n) = -35*c(n) - l(n). Find m, given that q(m) = 0.
-12, 4
Let f(v) be the third derivative of -9 + 0*v**3 + 1/40*v**6 + 3*v**2 + 0*v**4 + 0*v - 3/20*v**5. Solve f(g) = 0.
0, 3
Let c(z) be the third derivative of -z**7/420 - z**6/30 + 11*z**5/30 - z**4 + 369*z**2. Suppose c(f) = 0. Calculate f.
-12, 0, 2
Solve 11/4*q**2 - 9 - 1/4*q**5 - 12*q + 21/4*q**3 - 3/4*q**4 = 0 for q.
-6, -1, 2, 3
Let c(s) be the second derivative of 0*s**3 - 16*s + 1/30*s**5 + 0 + 1/12*s**4 - 9*s**2. Let h(z) be the first derivative of c(z). Factor h(n).
2*n*(n + 1)
Let b(u) be the third derivative of -3/320*u**6 - 1/80*u**5 - 1/560*u**7 + 0*u + 0*u**3 - 8*u**2 + 0 + 0*u**4. Factor b(w).
-3*w**2*(w + 1)*(w + 2)/8
Let i(t) = -2*t**2. Let l(a) = a**2 - 8*a - 1. Let k be 14/35*(2 + (-1)/(-2)). Let d(q) = k*l(q) + 4*i(q). Factor d(o).
-(o + 1)*(7*o + 1)
Factor -23/5*l**4 + 1/5*l**5 - 1296/5 + 204/5*l**3 + 1728/5*l - 864/5*l**2.
(l - 6)**3*(l - 3)*(l - 2)/5
Let i(s) be the third derivative of -s**5/30 - 635*s**4/6 - 423*s**3 + 6303*s**2. Find r such that i(r) = 0.
-1269, -1
Let i = 280 + -238. Suppose -i*h + 26*h = 0. Determine c, given that -2/9*c**2 + 0*c + 2/9*c**3 + h = 0.
0, 1
Let j(b) be the second derivative of -b**4/54 + 4*b**3/9 + 45*b**2 + 278*b + 2. Factor j(h).
-2*(h - 27)*(h + 15)/9
Let v be 159891/9082 - (2/19 + 0). Let m(s) be the second derivative of 5/12*s**4 - v*s**2 - 25*s + 0 + 5*s**3. Find h such that m(h) = 0.
-7, 1
Let u(p) be the first derivative of -p**4/6 - 1042*p**3/3 - 271441*p**2 - 282841522*p/3 - 3487. Factor u(s).
-2*(s + 521)**3/3
Determine x so that 36*x**5 - 3*x**3 + 47*x**5 + 12*x**3 + 37*x**5 - 123*x**5 + 26*x**4 = 0.
-1/3, 0, 9
Let o be 16/12*(-6)/(-4). Let u = -28 - -36. What is j in -2*j - 4*j**3 + 3 + 2*j**2 + u*j + o*j**4 - 2*j**3 - 7 = 0?
-1, 1, 2
Suppose -91*j + 105 = -96*j. Let x be ((-14)/j)/((-1)/(-4)). Suppose -2/3*c - 14/9*c**3 + 4/9 - x*c**2 = 0. What is c?
-1, 2/7
Let h(n) = -21085*n**4 - 58910*n**3 - 36887*n**2 - 6607*n + 24. Let q(y) = 2*y**4 - 5*y**3 + y**2 - y. Let z(b) = -h(b) - 5*q(b). Suppose z(c) = 0. Calculate c.
-2, -2/5, 1/281
Determine h so that -6*h**3 - 98*h**2 - 182*h**2 + 26*h**2 - 21434*h + 21606*h = 0.
-43, 0, 2/3
Let g(v) be the first derivative of -5*v**4/36 + 5*v**3 + 95*v**2/6 + 39*v + 150. Let i(t) be the first derivative of g(t). Factor i(j).
-5*(j - 19)*(j + 1)/3
Let q(n) = -2*n**2 + n - 1. Let x(h) = -3*h**2 + 3*h - 2. Let m(i) = -2*q(i) + x(i). Let o(b) = -4*b**2 - 13*b. Let z(l) = 20*m(l) + 4*o(l). Factor z(f).
4*f*(f - 8)
Let m = 8810817/7 + -1258688. Determine k, given that -m*k**3 - 23/7*k - 10/7*k**2 - 2 = 0.
-7, -2, -1
Let f(z) = 3379