 3
Let b = -219 + 253. Solve 4*s + b - s**2 - s**2 + 29 - 65 = 0 for s.
1
Determine m, given that 0 - 64/13*m**2 + 64/13*m**4 + 118/13*m**3 - 126/13*m**5 + 8/13*m = 0.
-1, 0, 2/9, 2/7, 1
Let y(s) be the second derivative of -2*s**7/21 + 34*s**6/15 - 9*s**5 - 101*s**4/3 + 260*s**3/3 - 10298*s. Determine l so that y(l) = 0.
-2, 0, 1, 5, 13
Suppose 8*g + 2*q + 106 = 80, -101 = 2*g + 5*q. Solve -3112/5*w**g + 512*w**3 + 242/5*w**5 + 1782/5*w**4 - 128/5 - 1344/5*w = 0 for w.
-4, -2/11, 1
Suppose -5*v + 22 = -3*o - 3, o + 25 = 5*v. Find u such that -6*u + 7*u**2 - 9*u**3 + 2*u**4 - 5*u**4 + 8*u**2 + 3*u**v = 0.
-2, 0, 1
Factor -1143 - 3*m**2 - 41*m - 52*m + 639.
-3*(m + 7)*(m + 24)
Suppose 15*v = 134 - 74. Let h be (39/(-91))/(v/(-42)). Determine y so that h*y + 3/4*y**2 + 27/4 = 0.
-3
Let a(y) be the third derivative of y**6/30 - 14*y**5/15 - 7*y**4/6 + 520*y**3/3 - 14*y**2 - 25*y. Determine w, given that a(w) = 0.
-4, 5, 13
Let g = 4679 - 4677. Let t(v) be the third derivative of -1/70*v**5 + 0*v**3 + 0 + 0*v - 7*v**g + 0*v**4. Let t(n) = 0. What is n?
0
Let a be ((-2)/5)/(6/(-15)). Let c be (a + 0)*(-12)/(-3). Factor -33 - c*f**2 + 33.
-4*f**2
Let m be (-546)/(-45) - 20/150. Solve -75*u**3 + 133*u**3 - m - 3*u**4 + 12*u + 9*u**2 - 64*u**3 = 0.
-2, 1
Let 164*g**4 - 18*g**3 - 54*g**2 - 338*g**4 + 2*g**5 + 180*g**4 = 0. What is g?
-3, 0, 3
Factor 17964 + 55485*b + 3*b**3 - 26453 - 168*b**2 - 46186 - 645*b**2.
3*(b - 135)**2*(b - 1)
Let p(t) be the first derivative of -125/7*t - 25/14*t**2 + 5/21*t**3 + 1/28*t**4 + 83. Factor p(m).
(m - 5)*(m + 5)**2/7
Suppose -34*r + 321*r = -84*r + 1113. Find x such that 2/5*x**4 + 872/5*x - 84*x**2 - 592/5 + 62/5*x**r = 0.
-37, 2
Let b(r) be the third derivative of 8*r**7/105 - 193*r**6/15 + 3579*r**5/20 - 635*r**4/3 + 623*r**3/6 + 3*r**2 - 3*r - 101. Factor b(l).
(l - 89)*(l - 7)*(4*l - 1)**2
Suppose 8/3*g**3 - 28/3*g**2 + 16/3*g + 0 + 4/3*g**4 = 0. Calculate g.
-4, 0, 1
Let o be (-4 - (-148)/14) + 8/(-14). Suppose 3*w = 6*w - o. Let 9 + 6 - 9*i**2 - 25*i + 5*i**3 + 14*i**w = 0. What is i?
-3, 1
Let v(g) be the second derivative of -g**6/1440 + 31*g**5/360 - 961*g**4/288 - 179*g**2/2 - 113*g. Let u(b) be the first derivative of v(b). Factor u(x).
-x*(x - 31)**2/12
Let v be ((-20)/1)/(-4) + 15. Let w(s) = s**2 + s. Let k(x) = 5*x**4 - 65*x**2 - 20*x. Let h(u) = v*w(u) + k(u). Factor h(r).
5*r**2*(r - 3)*(r + 3)
Let h(m) be the second derivative of -m**6/45 - m**5/10 + 35*m**4/6 - 325*m**3/9 + 78*m - 11. Suppose h(l) = 0. What is l?
-13, 0, 5
Suppose j = -4*j + 25. Suppose l**4 - 2*l**2 + 5*l**j + l**4 - 3*l**5 - 2*l**3 = 0. What is l?
-1, 0, 1
Let x(v) be the third derivative of -v**8/1680 - 173*v**7/1050 - 1653*v**6/100 - 9251*v**5/15 + 24389*v**4/15 + 1844*v**2. Factor x(b).
-b*(b - 1)*(b + 58)**3/5
Factor 104976*c**2 - 13226976/11*c + 426/11*c**4 - 33696/11*c**3 - 51018336/11 - 2/11*c**5.
-2*(c - 54)**4*(c + 3)/11
Let c be (-9)/(81/(-12))*3. Suppose 194 = c*j + 74. Solve -6*z**2 + 129*z - j - 24*z**2 - 19*z**2 - 21*z**3 - 29*z**2 = 0.
-5, 2/7, 1
Let s = -233217 - -233219. Factor -12/7*y + 2/7*y**s + 16/7.
2*(y - 4)*(y - 2)/7
Let a(w) be the second derivative of -79*w**5/10 + w**4/6 - 2303*w + 1. Factor a(r).
-2*r**2*(79*r - 1)
Let k(z) = 2*z - 8. Let s be k(6). Suppose -3*r - 3*o + 15 = 0, 5*r + s*o = -0*o + 29. What is c in -r*c + 3*c**2 + 5 + 1 + 0*c**2 + 0*c**2 = 0?
1, 2
Let q(u) be the third derivative of u**8/224 + 19*u**7/140 - 41*u**6/80 + 21*u**5/40 - 1536*u**2. Factor q(o).
3*o**2*(o - 1)**2*(o + 21)/2
Let q(g) be the second derivative of 0 + 1/2*g**2 - 1/24*g**4 - 29*g + 1/12*g**3. Factor q(a).
-(a - 2)*(a + 1)/2
Let -48792*f**2 + 48825*f**2 - f**3 + 3*f**3 - 78*f + f**3 = 0. What is f?
-13, 0, 2
What is y in 39*y**3 + 222*y - 602 - 1/2*y**4 + 683/2*y**2 = 0?
-7, -2, 1, 86
Suppose 0 = -0*n + 5*n - 30. Let d = 161 + -90. Factor s**3 - n*s**3 - d - 3*s**3 + 6*s + 73.
-2*(s - 1)*(2*s + 1)**2
Let s(v) be the third derivative of 1/672*v**8 + 0*v + 1/140*v**7 + 1 + 1/120*v**5 - 36*v**2 + 0*v**3 + 0*v**4 + 1/80*v**6. What is a in s(a) = 0?
-1, 0
Let d(b) be the third derivative of b**7/6 - 1153*b**6/24 - 2689*b**5/12 + 14165*b**4/24 + 835*b**3 - 2150*b**2. Suppose d(g) = 0. What is g?
-3, -2/7, 1, 167
Let o(n) be the first derivative of n**6/27 + 10*n**5/9 + 95*n**4/9 + 860*n**3/27 + 385*n**2/9 + 242*n/9 + 1039. Factor o(c).
2*(c + 1)**3*(c + 11)**2/9
Let s(z) be the first derivative of z**3/2 + 283*z**2/4 - 95*z + 275. Factor s(r).
(r + 95)*(3*r - 2)/2
Determine v so that 1400/3*v + 464 + 356/3*v**2 + 2/3*v**3 = 0.
-174, -2
Suppose -44 = -11*o - 22. Find i, given that 32*i - 16 - 29 + 2*i**o - 7 + 49*i - 31*i = 0.
-26, 1
Let j(p) be the first derivative of 2/7*p**2 + 8/7*p - 4/21*p**3 - 57. Factor j(u).
-4*(u - 2)*(u + 1)/7
Let i = 37642740/13 + -2897297. Let h = i + 1703. Factor -8/13 + h*r**2 + 4/13*r**3 + 6/13*r.
2*(r + 1)*(r + 4)*(2*r - 1)/13
Let s(q) be the third derivative of -q**7/1890 + 7*q**6/270 - 13*q**5/90 + q**4/8 + q**3/3 - q**2 + 4*q. Let b(g) be the second derivative of s(g). Factor b(h).
-4*(h - 13)*(h - 1)/3
Find v such that -160*v**2 + 21*v**4 - 135*v**3 - 16*v**4 - 125*v + 530*v**2 - 115*v = 0.
0, 1, 2, 24
Factor -5/2 - 1/8*c**2 + 9/8*c.
-(c - 5)*(c - 4)/8
Suppose 81 - d**2 - 381*d + 257*d + 52 + 256*d = 0. Calculate d.
-1, 133
Let z = -25639/3 + 8444. Let x = -101 - z. Factor 8/3*l - 2*l**3 + 8/3*l**2 + 0 + 2/3*l**5 - x*l**4.
2*l*(l - 2)**2*(l + 1)**2/3
Solve 164/5*r**2 - 2/5*r**5 + 36/5 + 24/5*r**4 - 96/5*r**3 - 126/5*r = 0.
1, 3, 6
Let d(h) = 8*h**5 - 20*h**3 + 12*h**2 - 24. Let k(r) = r**5 + r**4 - r**3 + r**2 - 2. Let g(u) = d(u) - 12*k(u). Determine a, given that g(a) = 0.
-2, -1, 0
Let o be 4/38 + 629334/(-513). Let v = o - -1227. Solve -v - 5/6*d - 2/3*d**2 - 1/6*d**3 = 0 for d.
-2, -1
Let r be 1 + (109 + -110)*(-4)/(-4). Determine d so that -6/19*d**3 - 32/19*d**2 + 24/19*d + r = 0.
-6, 0, 2/3
Suppose 3/7*x**5 + 0 + 15/7*x**4 - 75/7*x**3 + 72/7*x - 15/7*x**2 = 0. What is x?
-8, -1, 0, 1, 3
Let m = 58558 - 644136/11. Solve -5/11*t - 7/11*t**2 + m = 0.
-1, 2/7
Factor 128/13*i - 30/13*i**3 + 0 + 2/13*i**4 + 96/13*i**2.
2*i*(i - 8)**2*(i + 1)/13
Let u(j) be the third derivative of -j**7/105 - 239*j**6/30 + 479*j**5/30 - 3394*j**2. Factor u(p).
-2*p**2*(p - 1)*(p + 479)
Solve -199805/4*i**2 - 1 - 201601/4*i**3 + 448*i = 0.
-1, 2/449
Let h(s) be the first derivative of 4*s**5/5 + 8*s**4 + 88*s**3/3 + 48*s**2 + 36*s + 1550. Let h(u) = 0. Calculate u.
-3, -1
Let i(m) be the third derivative of m**6/320 - 9*m**5/32 + 87*m**4/64 - 43*m**3/16 - 2*m**2 - 550*m. Determine h so that i(h) = 0.
1, 43
Suppose 0 = -4*l + 12, -5*l - 1 + 12 = v. Let i be (v/6 - 1)/((-9)/27). Factor -i*c**4 + c**3 + 6*c**4 - 6*c**3.
c**3*(c - 5)
Let g(m) be the second derivative of 23*m - 2*m**3 - 1/6*m**4 + 0 + 7*m**2. Determine s so that g(s) = 0.
-7, 1
Let 8*f**4 - 376/3*f**2 + 143*f + 74/3*f**3 + 1/3*f**5 - 152/3 = 0. What is f?
-19, -8, 1
Let l be (-4)/(-8) - 1 - 3258/12. Let i be l/(-260) - (-10)/65. Factor 2*o**2 - i*o**3 - 8/5 + 8/5*o.
-2*(o - 2)*(o + 1)*(3*o - 2)/5
Factor 92*i**2 + 560/3*i - 1/6*i**4 + 44/3*i**3 + 376/3.
-(i - 94)*(i + 2)**3/6
Let f(h) be the second derivative of -1991*h**4/72 + 332*h**3/3 - h**2/3 + 163*h + 23. Determine d, given that f(d) = 0.
2/1991, 2
Let b(o) = -2*o - 15. Let a be b(-9). Suppose -c - 8 = -a*c. Find t, given that 8*t**2 + 10*t - 8*t**3 + c*t + 2*t**5 + 4 - 6*t**5 - 2*t - 12*t**4 = 0.
-1, 1
Let c(w) be the first derivative of -15*w**6/2 + 26*w**5 + 395*w**4/4 + 220*w**3/3 - 3840. Find s, given that c(s) = 0.
-1, 0, 44/9
Suppose -2*v - 16 = -4. Let y be (-604)/(-36) + 3/((-81)/v). Factor 6 - 9*d**2 + 3*d**2 - y*d - 2*d**3 + 9*d + 10*d.
-2*(d - 1)*(d + 1)*(d + 3)
Let k(l) be the third derivative of l**8/1848 + 2*l**7/385 + 2*l**6/165 - l**5/55 - 3*l**4/44 + 235*l**2 - 4. Solve k(b) = 0.
-3, -1, 0, 1
Let n(o) be the first derivative of o**7/2520 + 7*o**6/270 + 49*o**5/90 + 38*o**3/3 + o + 129. Let h(p) be the third derivative of n(p). Factor h(d).
d*(d + 14)**2/3
Suppose -3*f = -2*f + o - 14, 3*f = -5*o + 46. Determine l so that -116*l - 4*l**4 + 2970*l**3 + 120*l**2 - 5955*l**3 - f*l**2 + 40 + 2957*l**3 = 0.
-10, 1
Let d(g) be the third derivative of -g**5/30 - 9*g**4