.
-2/3, 2, 5
Let u(x) = 2*x**4 + 106*x**3 - 276*x**2 - 2300*x - 2698. Let g(h) = -h**4 - 3*h**3 + 2*h - 1. Let c(t) = 6*g(t) + u(t). Factor c(r).
-4*(r - 13)**2*(r + 2)**2
Factor 0 - 454/13*v + 2/13*v**2.
2*v*(v - 227)/13
Let j(k) be the second derivative of k**4/4 - 12*k**3 + 189*k**2/2 - 5*k - 65. Factor j(a).
3*(a - 21)*(a - 3)
Let l = 442380 - 441894. Suppose -1620*i**2 + 1800*i + l*i**3 - 2000/3 = 0. Calculate i.
10/9
Suppose 2*p = -2*p + 16. Suppose -5*t - 4*u + 25 = -9*u, 20 = p*t - 2*u. Suppose k**3 - 8*k + t*k - 4 - 3*k + k**3 = 0. What is k?
-1, 2
Let z(i) be the third derivative of 0*i + 19*i**2 + 1/96*i**6 + 2 + 0*i**3 + 1/840*i**7 + 1/24*i**4 + 1/30*i**5. Let z(n) = 0. What is n?
-2, -1, 0
Let n(a) be the first derivative of 5*a**6/6 - 77*a**5 + 8615*a**4/4 - 45595*a**3/3 + 21700*a**2 + 98000*a + 5795. Find v such that n(v) = 0.
-1, 4, 35
Let c be (-133)/15 - (20 - (-58)/26*-13). Find h such that -2*h**3 - 88/5*h - 48/5 - 148/15*h**2 - c*h**4 = 0.
-6, -2, -1
Let b be 40/(-420) + 65/21. Let i(c) = 2*c**3 - 17*c**2 + 50*c + 3. Let k(q) = q**2 + 1. Let y(u) = b*k(u) - i(u). Find d, given that y(d) = 0.
0, 5
Let y(h) be the third derivative of h**5/15 + h**4/24 + h**3/6 + 2*h**2 + 19. Let z(i) = -12*i**2 + 76*i - 4. Let d(x) = -4*y(x) - z(x). What is m in d(m) = 0?
-20, 0
Factor -9*j**3 + 4*j**3 + 2*j**3 - 39164*j + 17*j**2 - 32 + 39152*j.
-(j - 4)*(j + 1)*(3*j - 8)
Suppose -27*g + 390 = 7*g - 4*g. Let y(h) be the first derivative of 3/23*h**2 + 2/69*h**3 + g + 0*h. Factor y(a).
2*a*(a + 3)/23
Let k(m) be the second derivative of -m**6/60 + 2*m**5/15 - 63*m**2 - 5*m - 10. Let o(v) be the first derivative of k(v). Factor o(g).
-2*g**2*(g - 4)
Let w = -1393/2 - -701. Let z = w + -22/5. What is b in -3/10 + 3/10*b**2 - z*b**3 + 1/10*b = 0?
-1, 1, 3
Let q = 244 - 241. Let 74*v**2 + 34*v - 103*v - 9332*v**4 + q*v**5 + 9260*v**4 + 20*v**2 - 22*v**2 + 66*v**3 = 0. What is v?
-1, 0, 1, 23
Suppose -171809*s = -171711*s - 294. Let 2/3 - 10/3*z**2 + 14/3*z - 50*z**s = 0. What is z?
-1/5, 1/3
Let p be (10/(-1))/((-3)/165*-5). Let x be (-68)/(-30) + 66/p. Factor -x + 5/3*b**2 + 0*b.
5*(b - 1)*(b + 1)/3
Let q be (20/8)/5 + (-15)/10. Let x be q*8/(-20)*(-5 + 10). Factor 3*h**4 - 11*h - 10*h**3 + 3 - 1/3*h**5 + 46/3*h**x.
-(h - 3)**2*(h - 1)**3/3
Factor 334 + 6953*z - 2367*z - 2424*z - 8*z**2 - 3496*z.
-2*(z + 167)*(4*z - 1)
Suppose -5*x + 49 = -4*n, 0 = -5*x - n + 16 + 28. Suppose 6*t - x*t**4 + 7*t**2 - 86*t**3 + 97*t**3 - 17*t + 2 = 0. What is t?
-1, 2/9, 1
Let m be ((-160)/(-24))/((-15)/(-54)). Let b be (((-224)/m)/14)/(-1). Factor -2/3*s**4 + 0 - 2/3*s + b*s**3 + 2/3*s**2.
-2*s*(s - 1)**2*(s + 1)/3
Let p(m) be the second derivative of m**6/150 - m**5/50 - 5*m**4/12 + 5*m**3/3 - 6309*m. Determine g so that p(g) = 0.
-5, 0, 2, 5
Let k = 23571 + -23568. Let 0 - r**k + 1/2*r**5 - 4/3*r**4 + 4/3*r**2 + 1/2*r = 0. What is r?
-1, -1/3, 0, 1, 3
Let h(j) = 2*j**2 + 1. Let x be h(1). Let -108 + 6*b**x - 50*b**2 + 20*b**2 - 27 + 180*b - 26*b**3 + 5*b**4 = 0. What is b?
-3, 1, 3
Suppose -5*h = 3*g - 4, -4*h - 5*g + 160 = 162. Determine y so that 5/2 - 65/2*y**h - 30*y**3 + 0*y = 0.
-1, -1/3, 1/4
Suppose -139*j + 134*j = -15. Suppose -21 = -3*x - j*v, -3*v - 7 = -16. Factor 2/9*p**x + 0*p + 0*p**3 + 2/9 - 4/9*p**2.
2*(p - 1)**2*(p + 1)**2/9
Let x be (-13)/(-26)*8/(-1). Let m be x/15*((-54)/4 + 1). Solve -8/3*z + m - 2/3*z**2 = 0.
-5, 1
Let m(o) = -5*o**4 - 275*o**3 - 1136*o**2 - 1164*o. Let v(a) = -57*a**4 - 3024*a**3 - 12492*a**2 - 12804*a. Let z(q) = -45*m(q) + 4*v(q). Solve z(c) = 0 for c.
-2, 0, 97
Solve 212/5*v**2 - 6/5*v**3 - 264/5*v - 272/5 = 0.
-2/3, 2, 34
Let d = 9752650/11 + -886590. Factor 0 - 2/11*b**4 + 38/11*b**3 - 200/11*b - d*b**2.
-2*b*(b - 10)**2*(b + 1)/11
Let y(z) be the third derivative of 59*z**2 - 2/21*z**3 - 1/84*z**4 + 0 + 1/210*z**5 + 0*z. Factor y(s).
2*(s - 2)*(s + 1)/7
Let m(i) be the first derivative of -2/9*i**2 + 1/27*i**3 + 0*i + 1/9*i**4 - 1/45*i**5 + 194. Determine t, given that m(t) = 0.
-1, 0, 1, 4
Let x(n) = 83*n - 595 + 50*n - 28*n + 0*n**2 + 5*n**2. Let v(p) = 7*p**2 + 104*p - 593. Let z(r) = -5*v(r) + 6*x(r). Factor z(j).
-5*(j - 11)**2
Let x(f) = f + 2. Let p(a) = -15*a**2 - 30*a - 10. Let r(w) = p(w) - 5*x(w). Factor r(h).
-5*(h + 1)*(3*h + 4)
Let u(j) be the first derivative of j**6/21 + 64*j**5/35 + 146*j**4/7 + 96*j**3/7 - 5184*j**2/7 + 13824*j/7 - 671. What is d in u(d) = 0?
-12, 2
Let i(z) be the first derivative of -2/3*z**3 + 21 - 800*z - 40*z**2. Factor i(v).
-2*(v + 20)**2
Let l be 1/(-9)*-3*(2696 - -7). Let m = 6319/7 - l. Factor 8/7 + 6/7*k**2 + m*k + 1/7*k**3.
(k + 2)**3/7
Let b(l) = 4. Let o(j) be the second derivative of j**5/20 - j**4/12 - 3*j**3/2 + 13*j**2/2 - 111*j. Let x(h) = -4*b(h) + 4*o(h). Factor x(r).
4*(r - 3)*(r - 1)*(r + 3)
Let c(u) = -189*u**2 + 190*u + 1. Let d be c(1). Let o(s) be the first derivative of 2/3*s**3 + 8 - 2*s**2 + d*s. Factor o(b).
2*(b - 1)**2
Let v be (6*20/80)/((-9)/(-15))*2. Suppose 44/23*x**4 - 10/23*x**v - 66/23*x**3 + 40/23*x**2 - 8/23*x + 0 = 0. What is x?
0, 2/5, 1, 2
Let c(s) be the second derivative of s**7/42 - 11*s**6/6 - 104*s**5/5 - 274*s**4/3 - 616*s**3/3 - 248*s**2 + 6301*s. Factor c(g).
(g - 62)*(g + 1)*(g + 2)**3
Let i be (-7)/(75*(48/30 - 2)*1). Let h(s) be the third derivative of -1/15*s**6 + i*s**5 + 0*s**3 + 0 + 0*s + 18*s**2 - 5/18*s**4 + 1/315*s**7. Factor h(x).
2*x*(x - 10)*(x - 1)**2/3
Let d be (4 + 0/(-2 - 2))*5. Let z(p) be the first derivative of 18 + d*p**4 + 17*p - 21*p**4 + 3*p + 18*p**2 + 4*p**3. What is c in z(c) = 0?
-1, 5
Let m(k) be the third derivative of -2/1365*k**7 - 3/260*k**6 + 11/195*k**5 + 0 + 103*k**2 - 8/13*k**3 + 0*k + 1/2184*k**8 + 1/39*k**4. Solve m(q) = 0.
-3, -1, 2
Let b(p) be the third derivative of -1/10*p**5 - 4/15*p**3 - 1/60*p**6 + p**2 + 4/525*p**7 + 1/3*p**4 - 27 + 0*p. Suppose b(g) = 0. Calculate g.
-2, 1/4, 1, 2
Let g be (6/(-63))/((-3)/(-28)*(-7)/162). Factor -g*y - 864/7 - 6/7*y**2.
-6*(y + 12)**2/7
Suppose -5*z + 28 = -4*v, 3*z - 6*v + 3*v - 15 = 0. Let w be z + (236/(-20) - -4). Factor 0 + w*p**2 + 1/5*p.
p*(p + 1)/5
Suppose 18*i = 21*i + 18. Let l be 10*(-6)/4*2/i. Let 210*s**3 + 40*s**4 - 7*s**4 + 15 + 12*s**4 + 140*s + l + 305*s**2 = 0. Calculate s.
-2, -1/3
Let g(j) be the second derivative of -j**6/3420 + j**5/15 - 19*j**4/3 - 2*j**3/3 - 3*j**2/2 + 2*j + 1. Let a(s) be the second derivative of g(s). Factor a(u).
-2*(u - 38)**2/19
Suppose -i = -2, 3*i + 96 = c + 22. Let s be 15*c/35 - (-2)/(-7). Factor s*n**2 + 4*n - 5*n + 6*n**3 - 11*n.
2*n*(n + 6)*(3*n - 1)
Suppose -99*n = -95*n - 5*m + 45, -4*n + 14*m = 126. Let n - 8/5*y**3 - 2*y**4 + 0*y - 2/5*y**2 - 4/5*y**5 = 0. Calculate y.
-1, -1/2, 0
Let m(d) be the second derivative of 12*d**2 + 1/6*d**4 - 8/3*d**3 + 1 + 72*d. Factor m(r).
2*(r - 6)*(r - 2)
Let c be (9/75)/(7*(-1863)/945 - -14). Factor -6/5*z + 0 - c*z**2.
-3*z*(z + 2)/5
Find m such that 374/7 - 2/7*m**3 + 2/7*m - 374/7*m**2 = 0.
-187, -1, 1
Let k = 2565 - 2565. Let o(g) be the third derivative of 0 + 0*g - 3/20*g**5 + 0*g**3 - 30*g**2 + k*g**4 - 1/40*g**6. Factor o(j).
-3*j**2*(j + 3)
Let i(y) = y**2 + 13*y + 15. Let k be i(-12). Suppose 4*l + 8 = 2*d, 2*d + 0*l = -l + k. Factor 2*s**2 - s**4 + s**3 - 4*s**3 - d*s**2 + 4*s.
-s*(s - 1)*(s + 2)**2
Let r(n) = -n**3 + 32*n**2 - 36*n - 5. Let h = 275 + -280. Let o(i) = 15*i**2 - 18*i - 3. Let g(j) = h*o(j) + 3*r(j). Factor g(v).
-3*v*(v - 6)*(v - 1)
Suppose 0*u - 5*u = 4*c - 12, 0 = -5*c + 5*u + 15. Find g, given that 3*g**4 + g + c + 2*g - 6*g**2 + 2*g**3 - 3*g - g**5 - g = 0.
-1, 1, 3
Let p(f) = -155*f**3 + 4497*f**2 - 59*f + 38. Let w be p(29). Let a be (-594)/11*(-1)/2. Suppose w*u + 3/4*u**2 + a = 0. Calculate u.
-6
Let p = -607 - -419. Let o be 2/(-4) + 1 + p/564. Find x, given that o*x**2 + 4/3 + x = 0.
-4, -2
Let z(m) be the second derivative of m**7/70 - 3*m**5/20 + m**4/4 + 5*m**2/2 + 63*m. Let k(w) be the first derivative of z(w). Solve k(d) = 0 for d.
-2, 0, 1
Let y(n) be the second derivative of -2*n**6/15 - 5552*n**5/5 - 3853088*n**4 - 21392344576*n**3/3 - 7423143567872*n**2 - 2863*n. Factor y(m).
-4*(m + 1388)**4
Let m be ((-2376)/32)/(-3) + (-3)/4. Factor 131*l - 10*l**2 - 19*l - 52 + 66*l + m*l**2.
2*(l + 13)*(7*l - 2)
Suppos