be 1956/7335*-6*15/(-12). Let 3 - 15/2*y + 6*y**h - 3/2*y**3 = 0. What is y?
1, 2
Let t(y) be the third derivative of y**6/300 + 107*y**5/150 - y**4/15 - 428*y**3/15 + 8586*y**2. Solve t(n) = 0 for n.
-107, -2, 2
Let g be 2*(19/(-38))/((-68)/16 + 2). Let r(p) be the second derivative of -10*p - 1/36*p**4 + g*p**3 + 0*p**2 + 0. Factor r(v).
-v*(v - 8)/3
Let m = 848564 - 848564. Let -3/8*p**4 + m - 3/2*p + 3/8*p**2 + 3/2*p**3 = 0. What is p?
-1, 0, 1, 4
Suppose 2*b - 2*m - 32 = 0, 0 = 2*b - 3*m + 4*m - 17. Determine a so that 2*a**3 + b*a**2 + 3*a**2 + 11*a**2 - 7*a**2 + 30*a - 50 = 0.
-5, 1
Factor -60/7*h - 32 - 4/7*h**2.
-4*(h + 7)*(h + 8)/7
Let s(k) be the third derivative of 0 - 3/110*k**5 + 0*k + 1/330*k**6 - 3/22*k**4 + 127*k**2 + 1/1155*k**7 + 0*k**3. Factor s(r).
2*r*(r - 3)*(r + 2)*(r + 3)/11
What is z in 809*z**3 - 257*z**3 - 247*z**3 - 270*z**3 + 5*z**4 = 0?
-7, 0
Let q(v) = -8*v + 15. Let c be q(7). Let z = 43 + c. Determine u, given that 0*u**z - u**3 + 8*u**3 - 5*u**3 - u**2 - u**4 = 0.
0, 1
Let y(g) = 61*g**2 - 54*g. Let o(s) = -2*s + 1. Let j(m) = 4*o(m) - y(m). Let x(t) = -12*t**2 + 9*t + 1. Let l(c) = -4*j(c) + 22*x(c). Factor l(f).
-2*(f - 1)*(10*f + 3)
Let u(t) be the third derivative of -t**6/120 - 91*t**5/10 - 6165*t**4/2 + 75076*t**3/3 + t**2 - 996*t. Factor u(v).
-(v - 2)*(v + 274)**2
Let l(s) be the second derivative of -s**7/14 + 11*s**6/5 - 267*s**5/10 + 160*s**4 - 973*s**3/2 + 735*s**2 - 3784*s. Solve l(g) = 0.
1, 2, 5, 7
Let t be 1/(-4 + (-171)/(-43)). Let s = t + 46. Determine z, given that -z**4 + 2*z**4 - 2*z**s + 2*z - 316*z**2 + 0*z + 315*z**2 = 0.
-1, 0, 1, 2
Let t be (2/6)/(10/6 - 2). Let o be (3/t)/(0 + (-30)/8). Factor -2*s**2 + o*s - 14/5*s**3 + 0.
-2*s*(s + 1)*(7*s - 2)/5
Let u(c) be the second derivative of 9*c**2 - 12 - 1/2*c**3 - 4*c - 1/12*c**4. What is j in u(j) = 0?
-6, 3
Let u = -240506 + 240512. Solve -u*i - 4/7*i**2 + 22/7 = 0.
-11, 1/2
Let g(m) be the first derivative of 8*m**3/3 - 306*m**2 + 4140*m - 383. Factor g(x).
4*(x - 69)*(2*x - 15)
Let c(q) be the third derivative of q**8/20160 + 11*q**7/5040 - q**6/60 + q**5/60 - 17*q**3/6 + 94*q**2. Let w(r) be the third derivative of c(r). Factor w(n).
(n - 1)*(n + 12)
Factor 3/4*f**3 - 57*f**2 - 111/2 + 447/4*f.
3*(f - 74)*(f - 1)**2/4
Let f(h) = h**2 + h - 1. Let n(l) = 5*l**2 + 8*l - 3. Let b(k) = -k**2 - 2*k + 2. Suppose 2*x = 58 - 64. Let d be b(x). Let g(v) = d*n(v) + 6*f(v). Factor g(c).
(c - 3)*(c + 1)
Let o = -9414 + 9416. Let y(j) be the first derivative of -18*j**o + 20 - 162*j - 2/3*j**3. Factor y(x).
-2*(x + 9)**2
Let f(l) = -7*l - 12. Let t be f(-4). Let a be (t/24)/(21*3/81). Factor -2/7 - 6/7*b**2 - 2/7*b**3 - a*b.
-2*(b + 1)**3/7
Let z(j) = -12*j**4 + 1232*j**3 + 2470*j**2 + 1240*j + 2. Let f(r) = -28*r**4 + 2466*r**3 + 4941*r**2 + 2482*r + 5. Let k(g) = -2*f(g) + 5*z(g). Factor k(x).
-4*x*(x - 309)*(x + 1)**2
Let m = -545 - -555. Factor -20*h**2 + 52*h**3 - 10*h**4 + 8 - 117*h**5 - 25*h**4 + 125*h**5 - 2*h - h**4 - m*h.
4*(h - 2)*(h - 1)**3*(2*h + 1)
Solve -5*z**5 + 1146*z**4 - 1426*z**4 + 31920*z + 670*z**4 - 57760 + 12880*z**2 - 7960*z**3 = 0 for z.
-2, 2, 38
Let h(q) = 48*q**2 - 7*q + 29. Let s be h(3). Let v be 12/(-10)*s/(-99). Find m, given that -14/3*m**2 + 32/3 - v*m - 2/3*m**3 = 0.
-4, 1
Let s(i) be the third derivative of 0*i**5 - 1/1080*i**6 + 0*i**3 + 129*i**2 - 2 + 1/54*i**4 + 0*i. Let s(h) = 0. Calculate h.
-2, 0, 2
Factor -2/9*w**2 - 279752/9 + 1496/9*w.
-2*(w - 374)**2/9
Let w = 19/195 - -119/780. Let l(v) be the second derivative of 0 + w*v**4 + 0*v**2 + 12*v + 1/50*v**6 + 9/50*v**5 + 0*v**3. Factor l(z).
3*z**2*(z + 1)*(z + 5)/5
Let i(k) be the second derivative of 1/4*k**3 + 1/8*k**4 + 0 - 73*k + 0*k**2. Factor i(f).
3*f*(f + 1)/2
Let o = 0 + -3. Let b be (-4)/36*o*18/1. Factor 5*r**2 + r**3 + 3*r**4 - 8*r - 8*r**2 + b*r + r**5.
r*(r - 1)*(r + 1)**2*(r + 2)
Let q = 5407 - 1422043/263. Let m = q + 273/1315. What is k in -6/5 + 1/5*k**2 - m*k = 0?
-2, 3
Let g(p) = 2*p**3 - p**3 - 1048*p**2 + 1046*p**2 + 2. Let o be g(2). Factor 32*d**o + 534*d - 2197 - 27*d + 23*d**2 - 94*d**2 + d**3.
(d - 13)**3
Find f such that 0 - 50/9*f**3 - 46/9*f**4 + 8/9*f + 88/9*f**2 = 0.
-2, -2/23, 0, 1
Determine v, given that -315/8 - 57/4*v - 3/8*v**2 = 0.
-35, -3
Suppose -15*z = 3*z - 36. Let n(f) be the first derivative of -14 + 1/4*f**3 - 3*f + 0*f**z. Factor n(o).
3*(o - 2)*(o + 2)/4
Let a(z) be the first derivative of -z**4/4 + 9*z**3 - 35*z**2/2 + 3*z + 62. Let v(l) = -4*l**3 + 80*l**2 - 104*l + 8. Let q(b) = -8*a(b) + 3*v(b). Factor q(p).
-4*p*(p - 4)*(p - 2)
Suppose -1876/5 - 1/5*w**2 - 1877/5*w = 0. What is w?
-1876, -1
Factor 26*c**3 - 51*c**3 + 6*c**2 + 3*c**4 - 30*c**2 + 19*c**3.
3*c**2*(c - 4)*(c + 2)
Suppose 2*h + 32 - 36 = 0. Factor 5*v**h + 320 - 220*v + 1606 + 494.
5*(v - 22)**2
Suppose -412*u + 899*u - 112 = 431*u. Let p be 20/12*4/10. Let 2*h**3 + 0 + 0*h**4 + 0*h - 4/3*h**u - p*h**5 = 0. Calculate h.
-2, 0, 1
Let l(v) = v + 13. Let z be l(-9). Let f = -759 + 761. Factor 9*q - q + 3*q**z - 6*q**2 - q**f + 2*q**3 - q**5 - 5*q**2.
-q*(q - 2)**2*(q - 1)*(q + 2)
Suppose 2/7*g**3 + 118/7*g + 36/7*g**2 - 156/7 = 0. Calculate g.
-13, -6, 1
Suppose 4*y = -8, -4*l + 5*y - 1259 - 2127 = 0. Let a = 849 + l. Factor 1/4*d**3 + 0*d - 3/4*d**2 + a.
d**2*(d - 3)/4
Let d(n) = 2*n**3 + 10*n**2 - 9*n. Let l be d(-5). Let 15*q + 70*q**2 - 75*q**2 + l - 25 = 0. What is q?
-1, 4
Let p = 372 + -372. Let y be 0/(6 + p) + 4. Let 3*x + 0 - 9/4*x**3 - 3/4*x**5 - 3*x**y + 3*x**2 = 0. Calculate x.
-2, -1, 0, 1
Let f(v) be the second derivative of v**6/225 - 9*v**5/50 - 29*v**4/30 - 89*v**3/45 - 2*v**2 + 20*v + 18. Determine p, given that f(p) = 0.
-1, 30
Factor -121*k - 3*k**4 + 3*k**3 - 159*k**3 + 116*k - 145*k - 303*k**2.
-3*k*(k + 1)**2*(k + 50)
Let s be (-12)/1485*2790/620*(-4 + -1). Suppose 34/11*g - 14/11*g**2 - s*g**3 - 18/11 = 0. What is g?
-9, 1
Factor 672800/13 - 2320/13*u + 2/13*u**2.
2*(u - 580)**2/13
Factor -50/3*z + 2/3*z**2 - 56.
2*(z - 28)*(z + 3)/3
Let m(p) be the third derivative of -1/3*p**4 + 1/15*p**6 - 1/105*p**7 + 111*p**2 + 0 + 0*p + 0*p**3 + 1/30*p**5. Factor m(y).
-2*y*(y - 4)*(y - 1)*(y + 1)
Let x(m) be the third derivative of -m**5/60 - 467*m**4/12 - 218089*m**3/6 - 1047*m**2 + 2*m. Factor x(y).
-(y + 467)**2
Let p(r) = -116*r + 118. Let l be p(1). Let z(v) be the first derivative of -20 + 1/10*v**4 + 0*v**l + 1/15*v**3 + 0*v + 1/25*v**5. What is f in z(f) = 0?
-1, 0
Let v = 92 - 100. Let s(h) = h**2 + 8*h + 4. Let q be s(v). Find r such that -3*r**3 - 8*r**2 + 0*r**3 + 34*r**q - r**3 + 4*r - 26*r**4 = 0.
-1, 0, 1/2, 1
Let -1/2*q - 29/10*q**2 + 0 = 0. Calculate q.
-5/29, 0
Let h(g) be the third derivative of -28*g - 1/80*g**5 - 7/4*g**3 + 3*g**2 + 9/32*g**4 + 0. Factor h(n).
-3*(n - 7)*(n - 2)/4
Factor 17/4*j**4 + 0 + 11/4*j**3 + 0*j - 3/2*j**2.
j**2*(j + 1)*(17*j - 6)/4
Let r(y) be the first derivative of -3*y**5/5 + 21*y**4/2 - 48*y**3 - 21*y**2 + 147*y + 2254. Factor r(b).
-3*(b - 7)**2*(b - 1)*(b + 1)
Suppose -2*d = -5*a - 1453, d - 1104 = 4*a - 370. Let b = -712 + d. Let b + 2/3*m**2 - 2/3*m**3 + 10/3*m = 0. Calculate m.
-1, 3
Suppose 24295*x - 56 = 24281*x. Let n(s) be the third derivative of 1/270*s**6 + 0 + 0*s - 11*s**2 + 0*s**x + 0*s**3 + 1/270*s**5 + 1/945*s**7. Factor n(t).
2*t**2*(t + 1)**2/9
Let v = -3149 + 31491/10. Let y(m) be the third derivative of 0 + 0*m + 1/25*m**5 - 1/200*m**6 - v*m**4 + 0*m**3 + 7*m**2. Factor y(s).
-3*s*(s - 2)**2/5
Let x(c) be the third derivative of c**5/90 + c**4/2 - 40*c**3/9 + 951*c**2. Solve x(z) = 0.
-20, 2
Let 4/5*b**3 - 544/5*b - 1072/5 + 532/5*b**2 = 0. What is b?
-134, -1, 2
Suppose -2*b + 4*v - 1162 = 0, 4*v - 3*v + 2 = 0. Let n be (-22)/b*10 + 2/(-9). Factor -8/13*f + 8/13 + n*f**2.
2*(f - 2)**2/13
Let p(y) be the second derivative of -y**7/51 + 37*y**6/255 - 27*y**5/85 + 5*y**4/51 + 29*y**3/51 - 15*y**2/17 - 4881*y. Determine u so that p(u) = 0.
-5/7, 1, 3
Let y(p) be the third derivative of -p**7/105 + 73*p**6/20 - 1904*p**5/5 - 15680*p**4/3 + 5867*p**2. Factor y(t).
-2*t*(t - 112)**2*(t + 5)
Let w(d) = -2. Let v(s) = -5*s**2 + 215*s - 940. Let p(j) = v(j) + 5*w(j). Let p(k) = 0. Calculate k.
5, 38
Let g(l) be the second derivative of l**4/66 + 14*l**3/33 - 51*l