o = 0.
-2, 1/4, 1
Let w be ((-30)/(-156))/((5 + -13)/(-32)). Let -12/13 + w*v**2 + 2*v = 0. What is v?
-3, 2/5
Let q(t) be the first derivative of t**4/4 - 26*t**3/3 + 41*t**2/2 - 11*t + 96. Let j(l) = l**3 - l + 1. Let w(r) = -5*j(r) + q(r). Find g, given that w(g) = 0.
-8, 1/2, 1
Let a(k) be the third derivative of -k**7/42 - 31*k**6/24 + 35*k**5/6 + 155*k**4/6 - 220*k**3 - 1447*k**2. Determine x so that a(x) = 0.
-33, -2, 2
Let u be (-64)/1984*1/3. Let c = u - -281/186. Factor -3/2*o**3 + 0 + 0*o + 3/2*o**5 - c*o**2 + 3/2*o**4.
3*o**2*(o - 1)*(o + 1)**2/2
Let p(w) be the second derivative of w**6/210 + 3*w**5/70 - 251*w**4/84 - 130*w**3/7 + 8450*w**2/7 + 570*w. Factor p(h).
(h - 10)**2*(h + 13)**2/7
Factor 12*n**2 + 852*n + 421*n**4 - 69*n**3 - 424*n**4 - 576*n.
-3*n*(n - 2)*(n + 2)*(n + 23)
Let a(i) be the third derivative of i**7/210 + 4*i**6/45 + 7*i**5/30 + 6*i**3 - i**2 - 6*i. Let w(r) be the first derivative of a(r). Factor w(m).
4*m*(m + 1)*(m + 7)
Let n = -10114/179 + 9117457/895. What is y in 1/5*y**3 + 4107/5*y + n + 111/5*y**2 = 0?
-37
Factor 31*h**2 - 2531*h**3 - 2*h**4 - 9*h**2 + 2515*h**3 + 36*h.
-2*h*(h - 2)*(h + 1)*(h + 9)
Let r(w) = -6*w**2 + 266*w - 742. Let d be r(3). Let q = 638/35 - 122/7. Find p, given that 6/5*p + q + 2/5*p**d = 0.
-2, -1
Let r(i) = 6*i + 24. Let q be r(6). Let a = q + -57. Determine f so that -4*f**2 - 17 + 17 - 5*f**4 - f**5 - 8*f**a = 0.
-2, -1, 0
Let b = 330 + -328. Determine y, given that -y**2 + 3 + 2*y**b - 16*y + 5 + 7 = 0.
1, 15
Let g = 601101/175315 - 3/25045. Factor -g - 2/7*l**2 + 2*l.
-2*(l - 4)*(l - 3)/7
Let o = 25603 - 25598. Let u(g) be the second derivative of 1/18*g**4 - 19*g + 0*g**3 - 1/20*g**o + 0*g**2 + 1/90*g**6 + 2. Solve u(r) = 0 for r.
0, 1, 2
Let g(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b + 1/540*b**6 + 0 + 1/270*b**5 - 36*b**2. Factor g(w).
2*w**2*(w + 1)/9
Let b = 121139 - 121137. Suppose -10/3 + 14*o - 16*o**b + 8/3*o**3 = 0. What is o?
1/2, 5
Factor -1669/5*p**2 - 84/5*p**3 - 1/5*p**4 + 14792/5 + 4386/5*p.
-(p - 4)*(p + 2)*(p + 43)**2/5
Let n(h) be the second derivative of -h**4/24 + 32*h**3/3 - 124*h**2 + 250*h + 1. Find w, given that n(w) = 0.
4, 124
Let c = 414 + -432. Let o be c/3 - -8 - 0. Suppose 2/3*g + 2/9*g**3 - 2/9*g**4 + 10/9*g**o + 0 = 0. What is g?
-1, 0, 3
Let f be ((-17)/51)/(2/204). Let p = f - -38. Factor 45*g**2 - 3*g + 5*g**p + 0*g**4 + 9*g + 14*g + 30*g**3.
5*g*(g + 1)**2*(g + 4)
Let y(f) be the second derivative of -2*f**6/15 + 4*f**5 - 17*f**4 - 336*f**3 - 864*f**2 - 5236*f. Factor y(p).
-4*(p - 12)**2*(p + 1)*(p + 3)
Let d(m) be the first derivative of 0*m**2 - 1/12*m**4 - 10 + 2/3*m**3 + 11*m. Let q(s) be the first derivative of d(s). What is i in q(i) = 0?
0, 4
Let j be (-8*21/(-84) - (-62)/(-6)) + 9. Factor 1/6*n**4 + 1/2*n**2 - 2/3*n**3 + j*n - 2/3.
(n - 2)**2*(n - 1)*(n + 1)/6
Let t(c) be the second derivative of -c**6/15 - c**5/10 + 5*c**4/2 + 3*c**3 - 54*c**2 + 3712*c. Let t(j) = 0. Calculate j.
-3, 2, 3
Suppose -p + 8 + 4 = 0. Suppose 3*z + 3*j + p = -j, -z - 4*j = 12. Let 0 + z*r - 4/11*r**4 - 2/11*r**5 + 2/11*r**3 + 4/11*r**2 = 0. What is r?
-2, -1, 0, 1
Factor 2/15*v**2 + 332/15 - 34/3*v.
2*(v - 83)*(v - 2)/15
Suppose -14*n + 21*n = 0. Suppose n = -5*x - 2*b + 16, 5*b + 4 = -x - 2. Find j such that -39 - 3*j**2 + 7*j**3 + 42 - 3*j - x*j**3 = 0.
-1, 1
Let q(y) be the third derivative of y**6/40 - y**5 + 103*y**4/8 - 3*y**3/2 + 7*y**2 - 2*y. Let n(c) = -c + 1. Let w(a) = -9*n(a) - q(a). Factor w(t).
-3*t*(t - 10)**2
Let a be -6 - 11*(-4 + 1). Suppose -8*z = a*z. Factor 0*c**3 - 3/4*c**4 + 3/4*c**2 + z*c + 0.
-3*c**2*(c - 1)*(c + 1)/4
Let v be (6/(-55)*-20)/(56/(-44)*-1). Suppose -9/7*p + v*p**2 + 3/7*p**3 - 54/7 = 0. What is p?
-3, 2
Let w(q) = q**3 - 49*q**2 + 559*q - 494. Let o be w(16). Solve -3/2*p + 3/2*p**o - 18 = 0 for p.
-3, 4
Let t(f) be the first derivative of -f**6/6 + 125*f**5 - 96715*f**4/4 - 293905*f**3/3 - 147580*f**2 - 98596*f + 799. Factor t(u).
-(u - 314)**2*(u + 1)**3
Let s(o) = 577*o**2 - 181*o + 3867. Let l(t) = 692*t**2 - 182*t + 3866. Let q(w) = 5*l(w) - 6*s(w). Solve q(y) = 0.
44
Let s(i) be the first derivative of -i**3/15 + 8*i**2 + 180*i + 8753. Solve s(w) = 0.
-10, 90
Let t(b) be the first derivative of -147/8*b - 21/8*b**2 - 1/8*b**3 - 259. Determine h, given that t(h) = 0.
-7
Suppose 27*h - 4120 = 659. Factor -6*t**3 + 22*t + 355 - h + 13*t**3 + 7*t**3 - 174 + 32*t**2.
2*(t + 1)**2*(7*t + 2)
Let t(y) be the second derivative of -y**5/60 + 25*y**4/36 - 32*y**3/3 + 78*y**2 + 518*y. Let t(l) = 0. What is l?
6, 13
Determine r, given that r**4 - 7*r**3 + 163072 - 163072 + 63*r**3 + 108*r**2 = 0.
-54, -2, 0
Let r(t) be the first derivative of t**4 + 16*t**3 - 120*t**2 + 256*t + 4997. Factor r(j).
4*(j - 2)**2*(j + 16)
Find q, given that 6*q**2 - 8 - 2/9*q**4 - 4/3*q**3 - 8/9*q = 0.
-9, -1, 2
Let p(l) be the first derivative of -15*l**4/16 + 3*l**3 - 27*l**2/8 + 3*l/2 + 10291. Find z, given that p(z) = 0.
2/5, 1
Suppose 5*y = 7*y + 2. Let q be 1/2*y*4/(-20). Suppose 1/5*i + 1/10*i**2 + q = 0. What is i?
-1
Find h, given that -6/7*h**2 + 192 + 1338/7*h = 0.
-1, 224
Let b(a) be the second derivative of -1/42*a**4 + 200*a + 0*a**3 + 36/7*a**2 + 0. Factor b(x).
-2*(x - 6)*(x + 6)/7
Let n(k) be the third derivative of k**6/480 - 7*k**5/120 - k**4/24 + 7*k**3/3 + 1211*k**2. Factor n(j).
(j - 14)*(j - 2)*(j + 2)/4
Let l be -49 + 34 + (14 - -3). Let n(j) be the first derivative of -l - 12*j - 5*j**3 + 12*j**2 + 3/4*j**4. Factor n(m).
3*(m - 2)**2*(m - 1)
Let t be 2 + (-4)/1 + (-2 - -6). Let 11*x**2 + x**3 - 4*x**3 - 2*x**2 - 6*x**t = 0. What is x?
0, 1
Factor -1/5*b**2 - 19*b - 696/5.
-(b + 8)*(b + 87)/5
Factor -3369608/9 + 576*s**2 + 558140/3*s + 4/9*s**3.
4*(s - 2)*(s + 649)**2/9
Let d(s) = 28*s**2 + 1664*s - 957. Let z be d(-60). Determine k so that -1/2*k**5 + 5*k + 0 - 9/2*k**z + 7/2*k**2 - 7/2*k**4 = 0.
-5, -2, -1, 0, 1
Let s(d) be the third derivative of -d**7/56 + 869*d**6/80 - 37671*d**5/20 - 7569*d**4/4 - 87*d**2 - 13*d. Factor s(c).
-3*c*(c - 174)**2*(5*c + 2)/4
Let d(a) be the third derivative of a**6/480 - 1229*a**5/80 + 1510441*a**4/32 - 1856331989*a**3/24 - 5*a**2 + 124*a + 2. Find n, given that d(n) = 0.
1229
Let i = 2297/3 - 765. Suppose 9*q - 6*q = 0. Solve -2/3*j**2 + q - i*j = 0 for j.
-1, 0
Let g(y) = -6*y**2 + y - 1. Let l(r) = 3*r**3 + 93*r**2 - 495*r + 939. Let n(t) = -15*g(t) - l(t). Find b such that n(b) = 0.
-14, 2, 11
Let g = -2201 + 2204. Factor 2/7 - 2/7*p**2 + 2/7*p - 2/7*p**g.
-2*(p - 1)*(p + 1)**2/7
Suppose -8 + 0 = -4*i. Suppose -290 = 17*v - 375. Find f such that -20*f**2 + 11*f**v + 10*f**5 - 112*f**i - 54*f**4 - 57*f**4 + 24*f + 198*f**3 = 0.
0, 2/7, 1, 2
Let k(v) = -15*v**4 + 183*v**3 - 852*v**2 + 648*v + 18. Let j(l) = -7*l**4 + 92*l**3 - 425*l**2 + 324*l + 8. Let o(a) = -9*j(a) + 4*k(a). Factor o(s).
3*s*(s - 27)*(s - 4)*(s - 1)
Suppose -5*f = -3*i - 2245, -7*f + 10*f - 1347 = 4*i. Determine l, given that -950*l + f*l - 10*l**2 + 474*l - 18 - l**3 = 0.
-6, -3, -1
Let m be 2352/11739 - 76/1634. Factor m*b**2 - 6/13*b + 0.
2*b*(b - 3)/13
Let l(j) = -41*j - 352. Let z be l(-9). Let v(c) be the third derivative of 0*c + 0*c**3 + 1/120*c**5 + 1/240*c**6 + 0 - z*c**2 - 1/24*c**4. Factor v(o).
o*(o - 1)*(o + 2)/2
Let g = -13012 + 13012. Let q(s) be the first derivative of 0*s - 1/32*s**4 + 6 + g*s**3 + 1/4*s**2. Factor q(j).
-j*(j - 2)*(j + 2)/8
Let -39/5*x**3 - 157/5*x - 45*x**2 - 3 + 44/5*x**4 = 0. What is x?
-1, -5/44, 3
Suppose 108*s - 102*s = 504. Let i be (48/s)/((-15)/(-140)). What is r in -2/3*r**4 + 0 - 4*r**3 - i*r**2 + 0*r = 0?
-4, -2, 0
Let b(o) = o**4 - o**3 - o**2 + 2*o + 1. Let q(a) = 5*a**2 - 6*a**4 + 0 - 6 - 44*a - 62*a**3 + 69*a**3 + 30*a. Let h(s) = 7*b(s) + q(s). Solve h(k) = 0.
-1, 1
Suppose -12*k = -112 + 76. Let r(g) = g**2 + 2*g + 3. Let q be r(-3). Factor -9*w**2 + 5 - q*w**4 - 12*w + 6*w**k + 9*w**4 + 7.
3*(w - 1)**2*(w + 2)**2
Let i = -95036/3 + 31684. Solve 0*o**4 - i*o + 8/3*o**3 - 1/3*o**5 + 0*o**2 + 0 = 0.
-2, 0, 2
Let s(l) be the third derivative of -l**6/60 - l**5/60 + l**3/3 - 39*l**2. Let z be s(-2). Factor -4*a + 9 - 36*a**3 - z*a**4 - 9 + 30*a**4 + 24*a**2.
4*a*(a - 1)**2*(4*a - 1)
Let j be -19 + (-21)/(-35)*(-4350)/(-135). Solve -2/3 - j*t