o**3 - 9/20*o**5 + 28 + 1/2*o**4. Let q(j) be the first derivative of a(j). Factor q(t).
-3*t*(t - 1)*(3*t + 1)
Suppose 7*y = -4*y + 22. Suppose 0 = 4*o + 5*b, 2*o + 7*b = 4*b - y. Find r, given that -1116*r - 2*r**4 - r**3 + r**o + 2*r**2 + 1116*r = 0.
-1, 0, 1, 2
Let m(k) be the second derivative of -k**6/60 - k**5/8 + k**4/2 + 20*k**3/3 + 16*k**2 + 470*k. Factor m(q).
-(q - 4)*(q + 1)*(q + 4)**2/2
Let v(h) = -13*h**3 + 74*h**2 + 63*h - 132. Let r(a) = 20*a**3 - 78*a**2 - 63*a + 133. Let u(s) = -2*r(s) - 3*v(s). Solve u(x) = 0 for x.
-65, -2, 1
Let n be ((-26)/(-286)*0)/2. Solve 0 + n*v + 1/10*v**3 - v**2 = 0 for v.
0, 10
Let n be 68/51 - (-380)/(-475)*(-35)/6. Find p, given that -n*p - 3/2*p**4 - 1/2*p**3 + 1/2*p**5 + 2 + 11/2*p**2 = 0.
-2, 1, 2
Let p(h) = 9*h**2 + 75395*h + 157929482. Let y(x) = 6*x**2 + 50263*x + 105286321. Let k(q) = -5*p(q) + 7*y(q). Factor k(m).
-3*(m + 4189)**2
Suppose -560 = -10*b - 0*b. Determine q, given that 0*q - 98 + 111*q - 15*q**2 + b = 0.
2/5, 7
Let q(d) be the third derivative of -d**5/20 - 14*d**4 + 113*d**3/2 + 1426*d**2. Factor q(w).
-3*(w - 1)*(w + 113)
Let n(x) = -15*x**3 + 25*x**2 + 192*x - 1293. Let i(r) = -7*r**3 + 12*r**2 + 96*r - 646. Let l(a) = 13*i(a) - 6*n(a). Factor l(b).
-(b - 8)**2*(b + 10)
Determine w so that 0 - 12/5*w**2 + 288/5*w - 3/5*w**3 = 0.
-12, 0, 8
Let y(d) be the first derivative of -29*d**4/8 + 27*d**3/2 + 67*d**2/2 + 12*d + 6632. Let y(n) = 0. What is n?
-1, -6/29, 4
Suppose 2015 = 6*i - 13. Factor -i - 4*y + 2*y**2 - 2*y**2 - 2*y**2 - 48*y.
-2*(y + 13)**2
Let n = -990034 + 990044. Solve -14*s**3 - 3/2*s**4 - 42*s - n - 81/2*s**2 = 0 for s.
-5, -2, -1/3
Let j be 4/36 - ((-4)/(-234))/((-628)/1570). Factor 64/13 - 66/13*b + j*b**2.
2*(b - 32)*(b - 1)/13
Let l(k) be the first derivative of -92 + 1/9*k**3 + 0*k + 0*k**2. Determine r so that l(r) = 0.
0
Suppose 4*r - 280 = 2*z, 9*z - 7*z = 5*r - 350. Let q be (18/5)/(r/25). Determine m so that -6/7 - 9/7*m + 3/7*m**2 + 3/7*m**4 + q*m**3 = 0.
-2, -1, 1
Suppose -n - 85 = m - 86, 4*m + n - 13 = 0. Find l, given that -1/4*l**5 - 7/2*l**3 - 1/2 - 3/2*l**m - 4*l**2 - 9/4*l = 0.
-2, -1
Let d(k) = -24*k**3 - 47*k**2 - 18*k + 1. Let o(m) = -44*m - 51*m**3 + 2 + 54*m**3 - 51*m**3 + 7*m - 94*m**2. Let h(g) = 7*d(g) - 4*o(g). Solve h(x) = 0.
-1, 1/24
Let p(q) = q**3 - q - 2. Let w(c) = 8*c**3 + 100*c + 25*c**2 - 9 + 52 + 17 - 3*c**3. Let n(i) = 10*p(i) - w(i). Factor n(d).
5*(d - 8)*(d + 1)*(d + 2)
Let v(y) be the second derivative of 0*y**3 + 0*y**2 - 41 + 0*y**5 - y + 0*y**4 + 1/120*y**6. Let v(j) = 0. Calculate j.
0
Solve 1307*k - k**3 + 8*k**5 + 16*k**3 - 1333*k + 65*k**4 - 25*k**5 + 120 + 28*k**5 - 185*k**2 = 0.
-5, -2, -1, 1, 12/11
Let m(f) be the second derivative of f**4/36 + 1327*f**3/9 + 1760929*f**2/6 + 937*f - 2. Factor m(a).
(a + 1327)**2/3
Let x(b) = 11*b**2 - 56*b - 67. Let k(w) = -5*w**2 + 29*w + 34. Let t(n) = n**2 + 5*n + 1. Let r be t(-2). Let c(y) = r*k(y) - 2*x(y). Factor c(s).
3*(s - 12)*(s + 1)
Let h(o) be the second derivative of -o**5/60 + 5*o**4/12 - 23*o**3/18 - 13*o**2/2 + 347*o - 4. What is d in h(d) = 0?
-1, 3, 13
Suppose -40 = -h - 2*b, -5*h - 71 = 2*b - 287. Let d = -39 + h. Factor 3*v**d - 4*v**5 - 52*v**4 + 4*v**3 + 55*v**4.
-v**3*(v - 4)*(v + 1)
Let s(u) be the first derivative of -1/50*u**5 - 1/40*u**4 - 4/5*u + 1/5*u**2 + 57 + 1/5*u**3. Factor s(z).
-(z - 2)*(z - 1)*(z + 2)**2/10
Let n(u) be the first derivative of 9*u - 97 - 1/3*u**3 - 4*u**2. Factor n(o).
-(o - 1)*(o + 9)
Let d = -45411 - -136235/3. Factor 0*b - d*b**2 + 0 + 1/3*b**4 - 1/3*b**3.
b**2*(b - 2)*(b + 1)/3
Suppose -3*t = -5*t. Let o = 413 - 411. Factor 18*v**3 + 22*v**4 + 2*v**4 + 26*v**2 - 22*v**o + t*v**4 + 10*v**5.
2*v**2*(v + 1)**2*(5*v + 2)
Let r(n) be the first derivative of -10*n**3 + 7/24*n**4 + 1/2520*n**6 + 0*n**2 + 0*n - 34 - 1/60*n**5. Let j(u) be the third derivative of r(u). Factor j(h).
(h - 7)**2/7
Let l(c) be the third derivative of -1/720*c**6 - 1/2*c**3 - 1/45*c**5 - 2 + 0*c + 20*c**2 - 7/48*c**4. Factor l(u).
-(u + 2)*(u + 3)**2/6
Factor -332 - 2936 + 4*h**2 - 16*h - 163 + 83.
4*(h - 31)*(h + 27)
Let y(d) be the third derivative of d**7/1155 - 7*d**6/110 + 171*d**5/110 - 361*d**4/33 + 745*d**2 + 2. Factor y(i).
2*i*(i - 19)**2*(i - 4)/11
Find v such that -2/7*v**2 - 8*v - 342/7 = 0.
-19, -9
Determine r, given that -86/15 + 2/5*r**2 - 256/15*r = 0.
-1/3, 43
Let y(h) = 2*h**3 - 5*h**2 - 6*h + 20. Let k be y(2). Let r(a) be the second derivative of -1/3*a**k - 20/3*a**3 + 0 - 4*a - 50*a**2. Factor r(c).
-4*(c + 5)**2
Suppose 1512*c + 144*c**2 + 32/7*c**3 + 5292 = 0. Calculate c.
-21/2
Factor 0*u - 220/3*u**3 + 0 - 1102/15*u**2 + 2/15*u**4.
2*u**2*(u - 551)*(u + 1)/15
Let o(k) be the first derivative of -k**5/25 + 11*k**4/10 + 49*k**3/15 - 11*k**2/5 - 48*k/5 + 7814. Determine c so that o(c) = 0.
-2, -1, 1, 24
Let o(p) be the second derivative of -2*p**7/21 - 76*p**6/15 - 358*p**5/5 + 116*p**4/3 + 2318*p**3/3 + 1444*p**2 + 7*p + 2. Solve o(b) = 0.
-19, -1, 2
Let r(i) be the second derivative of -1/20*i**6 - 1/84*i**7 + 3 - 1/24*i**4 - 6*i + 0*i**2 - 3/40*i**5 + 0*i**3. What is x in r(x) = 0?
-1, 0
Let m be (1/(-3) + 87/783)/((-4)/72). Factor 3/2*z - z**2 - 2*z**3 + z**m + 1/2*z**5 + 0.
z*(z - 1)**2*(z + 1)*(z + 3)/2
Let o(w) be the second derivative of w**4/22 + 133*w**3/66 - 139*w**2/22 - 10923*w. What is v in o(v) = 0?
-139/6, 1
Let a(z) = 16*z**2 - 9*z + 17. Let v(b) = -4*b**2 + 3*b - 5. Let y(h) = -4*a(h) - 14*v(h). Factor y(q).
-2*(q + 1)*(4*q - 1)
Let c be 6/(-7) + (1 - ((-2805)/1400)/(-17)). Let k(b) be the third derivative of -c*b**5 + 0*b - 25/4*b**3 - 5/8*b**4 + 0 - 22*b**2. Factor k(u).
-3*(u + 5)**2/2
Let a(h) = 11*h**2 + 4814*h - 1748. Let f be a(-438). Find y, given that 32/9 + 424/9*y**2 + 284/9*y**3 + 208/9*y + 20/3*y**f = 0.
-2, -2/5, -1/3
Let i be 1*0*7/140. What is k in -6/11*k - 2/11*k**2 + i = 0?
-3, 0
Let u(s) be the first derivative of 1/30*s**6 - 2/15*s**3 + 3/25*s**5 - 1/5*s + 73 - 3/10*s**2 + 1/10*s**4. Factor u(c).
(c - 1)*(c + 1)**4/5
Let r(d) = -9*d**2 - 138*d + 1267. Let j(f) = -16*f**2 - 276*f + 2548. Let o(m) = 4*j(m) - 7*r(m). Suppose o(t) = 0. What is t?
-147, 9
Let r(j) = 13*j - 101. Let t be r(8). Factor -24*b - 55*b**2 - 3*b**t - b**3 - 18*b**2 + 45*b**2.
-4*b*(b + 1)*(b + 6)
Let g(a) be the first derivative of a**4/6 - 14*a**3/9 - 4*a**2/3 + 56*a/3 - 979. What is i in g(i) = 0?
-2, 2, 7
Let k(i) be the second derivative of -i**6/12 - 7*i**5/8 - 5*i**4/2 + 774*i. Find v, given that k(v) = 0.
-4, -3, 0
Let i = -3569/24 + 1195/8. Suppose 2*v - 8 = 0, 5*y = 2*v - v - 4. Solve r**3 - i*r**4 + 1/6*r + 1/6*r**5 - 2/3*r**2 + y = 0.
0, 1
Let s be (-24 + -7)/(-3 + 6/3). Let d = -25 + s. Factor d - 2*y**2 - 14 + 4 + y + 5.
-(y - 1)*(2*y + 1)
Let r(k) be the first derivative of -2*k**3/9 + 154*k**2/3 - 302*k - 1838. Suppose r(w) = 0. Calculate w.
3, 151
Let a = 359 - 357. Factor -303*z - 33*z**a + 358*z + 5*z**3 + 3*z**2 - 30.
5*(z - 3)*(z - 2)*(z - 1)
Suppose -190*d + 121*d = -844*d + 1550. Solve 6*p + 0 - 3/2*p**d = 0.
0, 4
Let n(j) be the first derivative of j**6/5 + 2*j**5/5 - 11*j**4/10 - 14*j**3/5 - 4*j**2/5 + 8*j/5 - 1026. Determine x, given that n(x) = 0.
-2, -1, 1/3, 2
Suppose -68 = -22*w + 5*w. Let u(i) = -19*i**3 - 36*i**2 - 15*i + 6. Let h(v) = 20*v**3 + 37*v**2 + 14*v - 8. Let j(l) = w*h(l) + 5*u(l). Factor j(o).
-(o + 1)**2*(15*o + 2)
Suppose -24 + 0 = -8*h. Determine i, given that 25*i**2 - 9*i**3 + 5*i**3 + 9*i**h + 30*i + 0*i**3 = 0.
-3, -2, 0
Determine u so that -2/5*u**2 - 54/5 + 56/5*u = 0.
1, 27
Let w = 4 + 1. Let g(f) = -f**2 + 44*f - 454. Let i be g(17). Factor -10*b**4 + 1705 + w*b**5 + i*b**3 - 1705.
5*b**3*(b - 1)**2
Let x be 6/(-14) - (-4176)/42. Factor -48*b**2 - 38*b - 8*b**3 - 45*b - 7*b + x - 149.
-2*(b + 1)*(2*b + 5)**2
Suppose -13*u - 21 = 4*u - 24*u. Let v(r) be the third derivative of 0*r**4 - 11*r**2 + 0 - 1/105*r**5 + 0*r**6 + 0*r + 1/735*r**7 + 1/21*r**u. Factor v(i).
2*(i - 1)**2*(i + 1)**2/7
Let h(z) be the first derivative of z**6/2340 + z**5/60 - 5*z**4/26 - 119*z**3/3 + 181. Let g(w) be the third derivative of h(w). Factor g(a).
2*(a - 2)*(a + 15)/13
Let m(v) be the first derivative of -10*v**6/3 - 1599*v**5 - 195460*v**4 + 3427960*v**3/3 - 2036160*v**2 + 81