t + 14/11*g + m*g**2 + 6/11.
2*(g + 1)**2*(g + 3)/11
Let x be (1 - 3/(-2)) + 422996/(-181356). Let p = x + -2/2159. Let -1/3*m + 1/3*m**3 + 0 - p*m**2 + 1/6*m**4 = 0. What is m?
-2, -1, 0, 1
Let u = 4/16305 - -48907/32610. Factor u*y + 1/2*y**2 + 1.
(y + 1)*(y + 2)/2
Suppose 4*s - 5*u = 15 + 15, 3*s - 11 = -2*u. Factor 107*r + 89*r + s*r**3 - 176*r - 20*r**2.
5*r*(r - 2)**2
Let g(k) = 2*k**3 - 38*k**2 + 2*k - 25. Let u be g(19). Factor -4*p**2 + 4*p**2 + 16*p + u + 3 + 4*p**2.
4*(p + 2)**2
Let u = 176 + -174. Find m, given that -19*m**5 - 60*m**4 + 4*m**5 - 350*m**u + 160*m**4 - 75*m**3 + 44 + 116 = 0.
-1, 2/3, 4
Factor -135/2 + 11*n + 1/2*n**2.
(n - 5)*(n + 27)/2
Let d(j) be the third derivative of 0*j + 4/3*j**3 - 2*j**2 - 1/40*j**5 + 0*j**4 - 1/480*j**6 + 2. Factor d(a).
-(a - 2)*(a + 4)**2/4
Determine m so that -99*m - 117*m + 283*m**2 - 58*m**2 - 3*m**3 - 481 + 37 = 0.
-1, 2, 74
Let u be ((-18000)/12600)/(15/(-21)). Factor -3/2*k**5 - 9/2*k**4 + 0*k + 0*k**u + 0 - 3*k**3.
-3*k**3*(k + 1)*(k + 2)/2
Factor 273/5*s + 534/5 + 3/5*s**2.
3*(s + 2)*(s + 89)/5
Solve 3/2*w**4 + 84*w + 0 - 51/2*w**3 + 57*w**2 = 0.
-1, 0, 4, 14
Let b be (-24)/242*(-1749)/1590*110/5. Let b*d**4 + 0*d + 0*d**3 + 0 - 64/5*d**2 + 2/5*d**5 = 0. Calculate d.
-4, 0, 2
Let q = -5950 - -124951/21. Let i(j) be the first derivative of q*j**3 - 2/7*j - 1/14*j**2 - 10. Factor i(v).
(v - 2)*(v + 1)/7
Factor -3/2*a**3 + 0 - 165*a + 171/2*a**2.
-3*a*(a - 55)*(a - 2)/2
Suppose -3/4*f**3 + 387/4*f + 65/2 - 5/2*f**2 = 0. Calculate f.
-13, -1/3, 10
Let z(a) be the third derivative of 0*a**4 + a + 0 + 35*a**2 + 0*a**3 + 289/90*a**5 + 1/315*a**7 - 17/90*a**6. Factor z(h).
2*h**2*(h - 17)**2/3
Let a(t) = -t**3 - 25*t**2 - 49*t - 66. Let b be a(-23). Suppose -5*k + b*x = -30, -x = -2*k - 6*x - 19. Factor 0 + 6/5*r + 4/5*r**2 - 2/5*r**k.
-2*r*(r - 3)*(r + 1)/5
Let o be 4/(-9) - (-249847)/117. Let y be o/(-455) + (3 - (-1 - 1)). Solve -y + 2/13*n + 2/13*n**2 = 0 for n.
-2, 1
Let h(s) be the third derivative of 3*s**7/70 + 221*s**6/40 - 23*s**5/6 - 49*s**4/2 + 148*s**3/3 - 650*s**2 + 2. Factor h(k).
(k + 1)*(k + 74)*(3*k - 2)**2
Let x(c) be the second derivative of 1/10*c**4 - 1/25*c**5 - 24 - 2/15*c**3 + 1/150*c**6 + 1/10*c**2 + 2*c. Solve x(o) = 0 for o.
1
Let u be 258/12 - 1/2. Suppose 5*m = -o + u, 5*m = -0*o + 2*o + 18. Suppose -m*k - 4*k**5 - 115*k**2 + 115*k**2 + 8*k**3 = 0. What is k?
-1, 0, 1
Let p = 563/6 + -187/2. Let m(k) be the second derivative of -1/135*k**6 - p*k**2 - 2/9*k**4 - 10/27*k**3 + 21*k - 1/15*k**5 + 0. Let m(a) = 0. What is a?
-3, -1
Let t = 545 + -2723/5. Let p(g) be the first derivative of -4*g + 1/2*g**4 + 8 - 5*g**2 + t*g**5 - 2*g**3. Factor p(v).
2*(v - 2)*(v + 1)**3
Factor -56/5*c**2 - 128 + 2/5*c**3 + 352/5*c.
2*(c - 20)*(c - 4)**2/5
Let d(r) be the third derivative of -r**5/120 + 61*r**4/24 + 125*r**3/4 + 2*r**2 - 345*r. Factor d(g).
-(g - 125)*(g + 3)/2
Suppose -4*z + q = -21, q - 3*q - 10 = 0. Factor 4*a**3 + 3*a**3 + 4*a**3 + z*a**5 - 15*a**3.
4*a**3*(a - 1)*(a + 1)
Let c(n) = 2*n**4 - 8*n**3 + 48*n**2 + 158*n + 6. Let i(l) = 16*l**4 - 57*l**3 + 336*l**2 + 1105*l + 45. Let t(b) = -15*c(b) + 2*i(b). Factor t(k).
2*k*(k - 5)*(k + 4)**2
Let w = 130411/7524 - -5/7524. Let 2/3*p**2 + 18*p + w = 0. Calculate p.
-26, -1
Let 0 + 1/6*a**4 - 32*a - 29/6*a**3 + 110/3*a**2 = 0. Calculate a.
0, 1, 12, 16
What is o in 52/7*o**2 + 54/7*o**3 + 2/7*o**4 + 0*o + 0 = 0?
-26, -1, 0
Let d(b) be the third derivative of -b**5/300 - b**4/2 + 62*b**3/15 + 960*b**2. Factor d(c).
-(c - 2)*(c + 62)/5
Suppose -17*y = -9*y - 104. Suppose 0 = 5*k - 23 + y. Suppose 1 - 1/3*g**k - 2/3*g = 0. Calculate g.
-3, 1
Factor -2/7*w**2 - 58/7*w - 108/7.
-2*(w + 2)*(w + 27)/7
Suppose -d + 2 = 39*c - 42*c, 2*c - 36 = -4*d. Determine i so that -2/5*i**c + 12/5*i - 2 = 0.
1, 5
Let w(v) = 15*v + 6. Let h be w(0). Let d(c) = 3*c**2 + 6*c + 3. Let z(i) = 2 + i + 13*i + 4 + 5*i**2 - 3*i. Let r(a) = h*z(a) - 11*d(a). Factor r(g).
-3*(g - 1)*(g + 1)
Let q(b) = -b**2 - 13*b + 3. Let g(l) = l - 1. Let c(x) = 10*x + 59. Let y be c(-6). Let a(n) = y*q(n) - 3*g(n). Solve a(t) = 0.
-10, 0
Let s(q) be the first derivative of q**3/6 - 77*q**2/16 + 19*q/8 - 1499. What is m in s(m) = 0?
1/4, 19
Let d(h) be the third derivative of 13*h**6/2700 + 7*h**5/450 + h**4/180 + 4*h**3/3 - 38*h**2. Let v(b) be the first derivative of d(b). What is x in v(x) = 0?
-1, -1/13
Let a = 122 + -115. Let n(u) = 16*u**2 - 70*u + 97. Let k(h) = -11*h**2 + 47*h - 65. Let f(w) = a*k(w) + 5*n(w). Solve f(l) = 0.
2, 5
Let -30*b**5 + 165*b**2 + 15*b**4 - 183*b**3 + 10*b**5 - 10 + 10 + 23*b**5 = 0. Calculate b.
-11, 0, 1, 5
Factor 122688*v**2 + 3/2*v**4 - 861*v**3 + 0 + 248832*v.
3*v*(v - 288)**2*(v + 2)/2
Let v(u) be the first derivative of 46 + 3/2*u + 3*u**2 + 3/4*u**4 + 5/2*u**3. Solve v(q) = 0.
-1, -1/2
Let l(d) be the second derivative of -2*d**7/21 + 2*d**6/3 + 8*d**5/5 - 16*d**4 + 43*d + 4. Let l(n) = 0. Calculate n.
-3, 0, 4
Let v be ((-9)/(108/1))/((-2)/24*4). Factor -v*w**4 + 1/4 + 0*w**2 - 1/2*w + 1/2*w**3.
-(w - 1)**3*(w + 1)/4
Let p(d) be the second derivative of 6*d**6 + 93*d**5 + 4925*d**4/12 + 745*d**3/3 + 60*d**2 + 586*d. Find r such that p(r) = 0.
-6, -4, -1/6
Let p(d) = 2*d**2 - 7*d + 6. Let q be p(4). Let f be 18/12*(q/(-6) - -3). Factor 13*u - f*u**3 + 5*u**2 - 3*u + 3*u**2.
-2*u*(u - 5)*(u + 1)
Let s(m) be the first derivative of -5*m**6/42 + 68*m**5/35 - 97*m**4/28 + 10*m**3/21 + 12*m**2/7 + 919. Find g, given that s(g) = 0.
-2/5, 0, 1, 12
Let i(j) be the third derivative of -j**8/392 + 5*j**7/98 - 47*j**6/140 + 101*j**5/140 - 15*j**4/28 + 6*j**2 - 324. Solve i(v) = 0.
0, 1/2, 1, 5, 6
Let g = 24427/10130 - 23/2026. Find z such that 19*z + 10 - 36/5*z**3 + g*z**2 = 0.
-5/6, 2
Let k(f) be the first derivative of -4*f**3/9 - 3*f**2 + 10*f/3 + 7588. Determine x so that k(x) = 0.
-5, 1/2
Suppose -27*v - 152 + 132 = -101. Let -2/5*z**2 + 16/15*z - 8/15 - 4/15*z**v + 2/15*z**4 = 0. What is z?
-2, 1, 2
Let c(m) be the second derivative of m**4/54 + 17*m**3/9 - 832*m**2/9 + 7*m + 280. Find g, given that c(g) = 0.
-64, 13
Let w(x) be the first derivative of x**5/15 + x**4 + x**2/2 + 5*x - 85. Let l(y) be the second derivative of w(y). Factor l(u).
4*u*(u + 6)
Let j(r) be the third derivative of -7/6*r**4 + 0 + 0*r**3 + 0*r - 1/5*r**6 + 112*r**2 + 9/10*r**5 - 1/105*r**7. Factor j(c).
-2*c*(c - 1)**2*(c + 14)
Let h(o) be the third derivative of -5*o**8/504 + 3*o**7/70 - o**6/360 - 11*o**5/60 + 11*o**4/72 + o**3/3 + 29*o**2 - 2. What is p in h(p) = 0?
-1, -3/10, 1, 2
Suppose 119 + 16*m**5 + 1531*m**2 + 4248*m - 4876*m**3 - 2400*m**4 + 116 + 981 + 265*m**2 = 0. Calculate m.
-2, -1/2, 1, 152
Factor 64 - 10704*p**3 + 2*p**5 + 160*p**2 + 71*p + 20*p**4 - 10696*p**3 + 21480*p**3 + 89*p.
2*(p + 2)**5
Suppose -25*h + 76*h - 96288 = 0. Solve 939 + 937 + 15*v - h - 3*v**2 = 0 for v.
1, 4
Let t(z) be the first derivative of 105*z - 5/3*z**3 - 50*z**2 - 100. Solve t(i) = 0.
-21, 1
Let s(t) be the third derivative of -t**5/45 - 17*t**4/18 + 76*t**3/9 - 158*t**2. Find i, given that s(i) = 0.
-19, 2
Determine s so that -957*s + 4*s**4 - 22*s**3 - 1276*s**2 - 1439*s - 1320 + 0*s**4 - 207*s**3 + 33*s**3 = 0.
-3, -2, -1, 55
Determine w so that 18/13*w + 10/13*w**5 + 144/13 + 84/13*w**3 + 96/13*w**4 - 352/13*w**2 = 0.
-8, -3, -3/5, 1
Let z(q) = -12*q**3 - 1300*q**2 + 2364*q - 1018. Let w(f) = -f**3 - 118*f**2 + 215*f - 93. Let j(l) = -68*w(l) + 6*z(l). Factor j(x).
-4*(x - 54)*(x - 1)**2
Let p(f) be the first derivative of f**4/6 - 20*f**3 + 116*f**2 - 688*f/3 - 803. Factor p(k).
2*(k - 86)*(k - 2)**2/3
Let p(r) be the second derivative of r**5/70 - 233*r**4/42 + 4485*r**3/7 + 13689*r**2/7 + 1290*r. Let p(k) = 0. What is k?
-1, 117
Let p(j) be the second derivative of -j**6/180 + j**5/60 + j**4 + j**3/6 + 4*j**2 - 28*j. Let v(y) be the second derivative of p(y). Let v(q) = 0. What is q?
-3, 4
Let d(a) = -20*a**4 + 320*a**3 + 1094*a**2 + 1106*a + 380. Let r(i) = -4*i**4 + 64*i**3 + 219*i**2 + 221*i + 76. Let h(k) = 3*d(k) - 14*r(k). Factor h(u).
-4*(u - 19)*(u + 1)**3
Let p(n) be the first derivative of 2/19*n**2 + 74 + 6/19*n - 2/57*n**3. Determine i, given that p(i) = 0.
-1, 3
Let l(v) be the third derivative of -v**7/630 + v**6/5 - 7*v**5/18 -