 -1/2*t**5 - t**2 + 0 - 7/3*t**r + t - 11/6*t**4. What is h in j(h) = 0?
-1, -1/5
Let v = -9016 - -9018. Factor 2/9*x**v + 0*x - 1/3*x**3 + 1/9*x**4 + 0.
x**2*(x - 2)*(x - 1)/9
Let h = 727 - 705. Determine x, given that 0*x**4 + 27*x**5 - 2*x**4 - 22*x**2 + h*x**2 - 15*x**3 - 26*x**5 = 0.
-3, 0, 5
Let m be (270/30 - 16)/(15/(-6) + 2). Let y(t) be the first derivative of 6/7*t**2 + 5/7*t**4 + m + 12/7*t**3 - 4/7*t. Factor y(g).
4*(g + 1)**2*(5*g - 1)/7
Let h(c) = -13*c**2 + 1484*c + 267917. Let l(u) = -3*u**2 + 4*u + 1. Let w(q) = 2*h(q) - 10*l(q). Factor w(g).
4*(g + 366)**2
Let z = -59 - -113. Let w = z - 66. Let t(s) = -3*s**5 + 3*s**4 - 9*s**3 - 15*s**2 - 12*s. Let v(c) = c**3 + c**2 + c. Let j(a) = w*v(a) - t(a). Factor j(b).
3*b**2*(b - 1)**2*(b + 1)
Solve 0*m**3 - 3*m**3 - 4*m**3 - 701*m**2 - 631*m**2 + 5*m**3 = 0.
-666, 0
Let i(z) be the third derivative of z**5/390 + 145*z**4/156 - 15*z**2 - 6*z - 3. Let i(j) = 0. What is j?
-145, 0
Suppose -3*y + 5*t + 4 = 0, 104*t - 108*t + 16 = 4*y. Suppose -4/5 + 6/5*p - 2/5*p**y + 0*p**2 = 0. What is p?
-2, 1
Suppose 7*c = 3*c - 4. Let u be (-46)/(-2*(-1)/c). Find p, given that -4*p**2 + 21*p + u*p - 44*p = 0.
0
Let a(t) be the second derivative of t**4/6 + 32*t**3/3 + 60*t**2 - 3087*t. Determine c so that a(c) = 0.
-30, -2
Let 20/11*k + 2/11*k**4 - 20/11*k**3 + 0 - 2/11*k**2 = 0. What is k?
-1, 0, 1, 10
Let j = 36185/6 + -6047. Let g = 107/6 + j. Factor 0*k - 7/3*k**4 + 0 - g*k**3 + 2/3*k**2.
-k**2*(k + 1)*(7*k - 2)/3
Let b be (-1 - (0 + 4)) + (0 - -6). Let r be 1/b + (-6 - (-32)/4). Factor 16/7*d**4 + 0 + 48/7*d**2 - 18/7*d - 2/7*d**5 - 44/7*d**r.
-2*d*(d - 3)**2*(d - 1)**2/7
Let x be 1/(6/(210/(-5))). Let h(v) = v**3 + 8*v**2 + 8*v + 9. Let f be h(x). Find w such that 2/15*w**3 + 0 + 2/5*w**f + 4/15*w = 0.
-2, -1, 0
Let u(l) be the second derivative of l**5/5 - 29*l**4/3 - 510*l**3 - 7614*l**2 - 767*l - 1. Let u(d) = 0. What is d?
-9, 47
Let m(s) be the second derivative of s**4/4 - 7*s**3 + 149*s + 2. Let m(q) = 0. What is q?
0, 14
Determine n so that n**2 - 4 - 353*n + 581*n + 231 = 0.
-227, -1
Let n(p) be the third derivative of 8/3*p**3 + 4*p + 0 - p**2 - 2/3*p**4 + 1/15*p**5. What is l in n(l) = 0?
2
Let a be (7 + -12)*(-8)/10. Solve -10*c**2 - a*c**3 - 12*c - 4 + 6*c**2 - 8*c**2 = 0 for c.
-1
Suppose 27*l - 6 = 75. Let h(q) be the third derivative of 0*q + 17*q**2 + 3/4*q**4 + 0 + 1/20*q**5 + 9/2*q**l. Find j such that h(j) = 0.
-3
Determine d so that -768 - 12074*d - 257*d**5 - 8854*d + 26928*d**2 - 12228*d**3 + 2388*d**4 + 86*d**5 = 0.
-2/57, 2, 4
Let l(k) be the first derivative of k**6/24 + 9*k**5/4 + 325*k**4/8 + 845*k**3/6 + 45*k**2 - 21. Let w(h) be the second derivative of l(h). Factor w(s).
5*(s + 1)*(s + 13)**2
Let g(d) be the first derivative of -10*d - 45/2*d**2 - 25/4*d**4 - 192 - 20*d**3. Find x such that g(x) = 0.
-1, -2/5
Let g(w) be the second derivative of 2*w**7/27 + 128*w**6/135 + 232*w**5/45 + 416*w**4/27 + 736*w**3/27 + 256*w**2/9 - 5*w - 259. Find i such that g(i) = 0.
-2, -8/7
Let z(n) = -11*n**2 - 24*n + 41. Let v(m) be the third derivative of m**5/20 + m**4/3 - 7*m**3/3 - 91*m**2. Let w(k) = 7*v(k) + 2*z(k). Factor w(p).
-(p - 4)**2
Factor s**3 + 722/3*s - 208 + 319/3*s**2.
(s + 3)*(s + 104)*(3*s - 2)/3
Let h(f) be the third derivative of 5/7*f**3 - 3/8*f**4 + 0 + 0*f + 1/70*f**5 + 140*f**2. Determine y so that h(y) = 0.
1/2, 10
Determine t so that -160*t + 3475*t**4 - 282*t**3 + 212*t**2 + 1208*t**2 + 500*t**5 - 3738*t**3 = 0.
-8, 0, 1/4, 2/5
Let d(r) be the first derivative of -13*r**3/24 + 33*r**2/8 - 5*r/8 + 273. Factor d(l).
-(l - 5)*(13*l - 1)/8
Suppose -2*r - 15 = -7*k + 23, 52 = 2*k - 4*r. Factor 16/7*w**3 + 0 + 48/7*w - 76/7*w**k.
4*w*(w - 4)*(4*w - 3)/7
Let x(l) be the second derivative of 2*l**7/105 + 8*l**6/75 - 7*l**5/25 - 22*l**4/15 + 16*l**3/5 + 7*l + 18. Determine w, given that x(w) = 0.
-4, -3, 0, 1, 2
Let s(i) be the first derivative of -i**6/6 - i**5/5 + 24*i**4 + 132*i**3 + 348. Let s(t) = 0. What is t?
-6, 0, 11
Let i = -7001 - -5026719/718. Let o = 1433/2154 + i. Factor 2*d + 8/3 - o*d**2.
-2*(d - 4)*(d + 1)/3
Let f be (11 + (-128)/6)*(0 + -3). Let o be (1/14)/(f/124). Suppose 0*h - 2/7*h**3 - o*h**2 + 0 = 0. Calculate h.
-1, 0
Let b be 697/(-420) - 145/(-87). Let g(f) be the third derivative of -b*f**7 + 0*f**3 + 11*f**2 - 7/120*f**5 + 1/24*f**4 + 0 + 0*f + 1/30*f**6. Factor g(h).
-h*(h - 1)**2*(3*h - 2)/2
Let x = 411 + -391. Factor 20*w**2 - x + 8*w**2 - 21*w + 16*w - 7*w + 28*w**2.
4*(2*w + 1)*(7*w - 5)
Find b such that -3*b**2 + 0*b**2 - 7*b**2 - 690 + 2412 - 867*b + 13*b**2 = 0.
2, 287
Let r(n) be the third derivative of -n**7/945 - n**6/108 + 19*n**5/90 - 11*n**4/12 + 12284*n**2. Factor r(z).
-2*z*(z - 3)**2*(z + 11)/9
Let g(l) be the first derivative of -9 - 2/9*l**3 + 0*l - 7*l**2 - 1/9*l**4 + 1/36*l**5. Let o(w) be the second derivative of g(w). Factor o(c).
(c - 2)*(5*c + 2)/3
Find c such that 8070*c**3 - 505*c**4 - 36505*c - 7847*c**3 - 42172*c**2 + 4682*c**2 - 5*c**5 - 13713*c**3 - 12005 = 0.
-49, -1
Let t be 12/(-10) - (-5 + 88/(-40)). Let b be (15/18 + -1)*(-24)/t. Suppose -4/3 + b*n + 2/3*n**2 = 0. Calculate n.
-2, 1
Suppose 1/7*z**3 - 1/7*z + 114/7 - 114/7*z**2 = 0. Calculate z.
-1, 1, 114
Let v(q) = 4*q**2 + 20*q - 22. Let a(b) = b**2 + 5*b. Let r(p) = -3*a(p) - v(p). Let i(o) = -o**2 - 5*o + 1. Let x(h) = 4*i(h) - r(h). Factor x(k).
3*(k - 1)*(k + 6)
Let o = 79967/714 - 4699/42. Factor -o*a**2 + 0 + 6/17*a.
-2*a*(a - 3)/17
Let z(b) be the third derivative of b**7/490 - 41*b**6/20 + 5077*b**2. Factor z(u).
3*u**3*(u - 574)/7
Let x be 7/(-3)*(-40 + (-3008)/(-128)). Determine o so that 121 - 1/2*o**3 - x*o - 10*o**2 = 0.
-11, 2
Suppose 0 = 3*o + 3*b + 96, -39*o = -42*o - 4*b - 97. Let d be 2/21 + o/((-3906)/492). What is g in -4 - 4*g + 0*g**2 + g**3 + 1/4*g**d = 0?
-2, 2
Find g such that 100*g**2 - 6845*g + 5*g**4 + 3115*g + 3450*g + 70*g**3 - 480 = 0.
-12, -2, 2
Let p(j) be the first derivative of j**4/34 + 28*j**3/3 + 3185*j**2/17 + 21952*j/17 + 9134. Factor p(k).
2*(k + 7)**2*(k + 224)/17
Let u(z) = 3*z**2 - 7*z + 5. Let l be u(2). Factor 37*n**2 - l*n - 78*n**3 + 10*n**3 + 7*n - 101*n**2.
-4*n*(n + 1)*(17*n - 1)
Let d = -359 + 431. Factor -22*m**3 - 14*m**3 - d*m + 2*m**4 + 10*m**3 + 96*m**2.
2*m*(m - 6)**2*(m - 1)
What is b in 1/3*b**3 + 29/3*b**2 - 5/3*b**4 - 1/3*b**5 - 12 + 4*b = 0?
-3, -2, 1, 2
Let j = -1364 + 2445. Factor n**3 + 80 - 1021*n + j*n - 6*n**3.
-5*(n - 4)*(n + 2)**2
Let b(a) be the first derivative of 2*a**6/3 - 62*a**5/5 + 93*a**4 - 1072*a**3/3 + 736*a**2 - 768*a + 396. Factor b(t).
2*(t - 4)**3*(t - 2)*(2*t - 3)
Let s(o) = -184*o**4 + 436*o**3 - 224*o**2 - 124*o. Let v(m) = 37*m**4 - 87*m**3 + 45*m**2 + 23*m. Let l(p) = -3*s(p) - 16*v(p). Let l(b) = 0. Calculate b.
0, 1/10, 1
Let f(w) be the second derivative of w**4/3 + 100*w**3/3 - 318*w**2 - 2325*w. Determine r so that f(r) = 0.
-53, 3
Let m(t) = 1014*t**3 - 868*t**2 - 160*t + 4. Let l(g) = 40*g**3 - 1237*g**2 + 1526*g**2 - 378*g**3 + 53*g - 1. Let z(h) = -10*l(h) - 3*m(h). Factor z(j).
2*(j - 1)*(13*j + 1)**2
Let v be 1521/702 + (-5)/(-6). Find c, given that 44*c**2 + 5*c**3 + 24*c + 6*c**3 + 15*c**v - 2*c**3 - 3*c**4 + 7*c**4 = 0.
-3, -2, -1, 0
Let y = 184 + -182. Let -3*g - 4*g + g**y - 18*g + 9*g + 15 = 0. Calculate g.
1, 15
Let o(f) be the second derivative of -f**4/12 + 143*f**3/3 - 20449*f**2/2 + 472*f + 1. Find a such that o(a) = 0.
143
Suppose -x - 2*b = 3*x, -4*x = -2*b - 16. Let i be 24/(-6)*(-1)/x. Determine w so that -w - 179 - 5*w + 175 - i*w**2 = 0.
-2, -1
Let s(d) be the first derivative of 13*d**6/60 - 22*d**5/135 + d**4/27 - 9*d**2/2 - 2*d + 31. Let k(f) be the second derivative of s(f). Factor k(m).
2*m*(9*m - 2)*(13*m - 2)/9
Let v(i) = -i**3 - 7*i**2 + 245*i - 1705. Let u(h) = -h**3 - 8*h**2 + 232*h - 1706. Let s(b) = -4*u(b) + 5*v(b). Factor s(z).
-(z - 9)**2*(z + 21)
Let a be 0 - (14/(-4))/(161/(-92)). Let l be 8/(-4) - 19/a - 3. Factor -l + 15/4*h - 3/4*h**2.
-3*(h - 3)*(h - 2)/4
Factor 2664 + 10400*g**2 - 710*g - 10395*g**2 + 96.
5*(g - 138)*(g - 4)
Let u be 6/9*(2 + 1). Factor 18*p + 3*p**u - 14*p + 13*p**2.
4*p*(4*p + 1)
Let t be -1*(2 - 4)*(-6)/(54/(-9)). Let y(f) be the second derivative of 0 - 2/15*f**6 - 4/5*f**5 + 