*3.
5*(u - 4)**3
Find h such that 72/7 + 8*h**2 - 114/7*h - 8/7*h**3 = 0.
3/2, 4
Suppose -1398/11*a - 288/11*a**2 - 2/11*a**3 - 1112/11 = 0. What is a?
-139, -4, -1
Let x(c) be the first derivative of 2*c**5/25 - 9*c**4/10 + 16*c**3/15 - 260. Solve x(h) = 0.
0, 1, 8
Let i(a) = 11*a**2 + 296*a + 4205. Let r(t) = 12615 + 56*t**2 - 78*t**2 + 84*t + 806*t + 57*t**2. Let n(h) = 10*i(h) - 3*r(h). What is f in n(f) = 0?
-29
Factor 1/5*i**3 + 8463/5*i - 37*i**2 + 8649/5.
(i - 93)**2*(i + 1)/5
Let v be 2 + 0 + -1 + 24. Factor -v*w**2 + 58*w**3 + 30*w - 130*w**3 + 67*w**3.
-5*w*(w - 1)*(w + 6)
Factor -648*m - 1396 + 439*m**3 - 437*m**3 + 514*m**2 - 394*m + 528 - 686.
2*(m - 3)*(m + 1)*(m + 259)
Factor 57*i**4 + 172*i**3 + 50*i**4 - 163*i**4 + 3520*i**2 + 58*i**4 - 7744*i.
2*i*(i - 2)*(i + 44)**2
Factor -6/5 - 7*g**2 - 107/5*g.
-(g + 3)*(35*g + 2)/5
Let s(x) be the first derivative of x**6/900 + 4*x**5/75 - 17*x**4/60 + 250*x**3/3 - 98. Let j(z) be the third derivative of s(z). Factor j(d).
2*(d - 1)*(d + 17)/5
Let i(p) be the third derivative of p**5/15 - 3097*p**4/3 + 19182818*p**3/3 + 2080*p**2. Factor i(t).
4*(t - 3097)**2
Suppose -296*d = -288*d + 2736. Let v be (-6)/(-68)*(-10 - d/27). Factor -v*u + 10/17*u**3 - 6/17*u**2 + 0.
2*u*(u - 1)*(5*u + 2)/17
Suppose -7175 = -135*s + 10645. Find z, given that 45/4*z**2 + 121 + 1/4*z**3 + s*z = 0.
-22, -1
Let o(x) be the first derivative of -x**3/9 - 233*x**2/6 + 78*x + 1708. Factor o(a).
-(a - 1)*(a + 234)/3
Let s(p) be the second derivative of -23*p**6/6 - 801*p**5/40 - 9*p**4 + 349*p**3/12 - 3*p**2/2 + 7*p + 360. Suppose s(d) = 0. Calculate d.
-3, -1, 2/115, 1/2
Suppose 4*g = 16, -9*s + 6*s = -4*g - 1853. Let x = s + -620. Factor 2*n**2 + 0 - 2*n**4 + 1/2*n**x - 1/2*n.
-n*(n - 1)*(n + 1)*(4*n - 1)/2
Let n(z) be the second derivative of 3*z**5/20 - 249*z**4/4 + 1440*z**3 - 12798*z**2 + 6637*z. Solve n(g) = 0.
6, 237
Let j = -1/117230 + 58617/234460. Factor j*g**5 + 1/4*g**3 + 0*g + 0*g**2 + 0 + 1/2*g**4.
g**3*(g + 1)**2/4
Let a(u) be the first derivative of -2*u + 8/5*u**5 + 2*u**4 - 4*u**2 - 2*u**3 + 85. Solve a(m) = 0.
-1, -1/2, 1
Factor 4*w + 390*w**3 + 325*w**2 - 32*w**4 + 26*w + 76*w**4 + 51*w**4.
5*w*(w + 1)*(w + 3)*(19*w + 2)
Let g(y) be the first derivative of 2/9*y**3 + 1/36*y**6 + 0*y**2 + 56 + 1/6*y**5 + 0*y + 1/3*y**4. Let g(u) = 0. What is u?
-2, -1, 0
Let s = -8380 + 8382. Suppose m = 4*m - 45. Determine n so that -3*n**4 + 45*n**s - 27*n**4 + 10*n**3 - m*n**4 - 10*n = 0.
-1, 0, 2/9, 1
Let h(c) be the first derivative of -c**4/2 + 140*c**3/3 - 800*c**2 - 32000*c - 817. Factor h(y).
-2*(y - 40)**2*(y + 10)
Find v such that -8431*v**2 - 2021*v - 589*v + 270*v + 4*v**3 + 7663*v**2 = 0.
-3, 0, 195
Let a(y) be the third derivative of y**8/112 - 3*y**7/70 - y**6/40 + 7*y**5/20 - 2*y**3 - 7623*y**2. What is g in a(g) = 0?
-1, 1, 2
Suppose -752 = -5*a - 155*a - 28*a. Let n(o) = -o. Let c be n(0). Factor 0*z**2 + 0 + 0*z**3 + c*z - 1/3*z**a - 1/3*z**5.
-z**4*(z + 1)/3
Let w(k) be the second derivative of 5*k**4/12 - 365*k**3 + 239805*k**2/2 - 22*k - 7. Suppose w(h) = 0. What is h?
219
Let k(s) be the first derivative of s**4/36 + 34*s**3/9 - 23*s**2/2 + 53*s - 245. Let j(p) be the first derivative of k(p). Factor j(m).
(m - 1)*(m + 69)/3
Let c(v) = 24*v - 215. Let u be c(9). Let p(b) be the first derivative of 1/4*b**5 - u + 1/24*b**6 - b**2 - 1/3*b**3 + 3/8*b**4 + 0*b. Factor p(i).
i*(i - 1)*(i + 2)**3/4
Let m(s) be the second derivative of -7*s**6/60 + s**5/10 + 6*s**2 - 6*s + 16. Let l(w) be the first derivative of m(w). Find g such that l(g) = 0.
0, 3/7
Suppose 0 = 5*q - 5*s - 45, 5*q + 3*s = 26 + 11. What is f in 2*f**3 - q*f**2 + 1026 - 1026 + 8*f = 0?
0, 2
Suppose 3*x = 19*j - 16*j - 9, 0 = 5*x + 4*j - 30. What is t in 18 + 69*t**x + 3*t**3 - 33 + 129*t + 78 = 0?
-21, -1
Let a be ((-6)/10 + (-1323)/(-630))/((-3)/(-8)). Find k such that 12/7*k**3 + 0 + 38/7*k**a - 2*k**5 + 0*k + 0*k**2 = 0.
-2/7, 0, 3
Let g = -435 + 390. Let u be g/(1 + 14) + (-58)/(-18). Factor -2/9*t**3 - 4/9 + 10/9*t - 2/3*t**2 + u*t**4.
2*(t - 1)**3*(t + 2)/9
Let o = -1966055/8 + 245757. Find g, given that 0 + 7/8*g - o*g**2 = 0.
0, 7
Let a be -3 - ((-18)/9 - -10). Let o be 48/(a/((-33)/42)). Factor -16/7 + o*k + 2/7*k**4 - 6/7*k**3 - 4/7*k**2.
2*(k - 2)**2*(k - 1)*(k + 2)/7
Let o = -1953 + 1959. Let l(k) be the first derivative of -6/5*k**5 + 2*k + 3*k**2 - 1/3*k**o + 4/3*k**3 - k**4 - 9. Let l(v) = 0. Calculate v.
-1, 1
Let q(d) be the first derivative of -21 + 64*d**2 - 64*d - 64/3*d**3 - 2/3*d**6 + 4*d**5 - 4*d**4. Suppose q(z) = 0. Calculate z.
-2, 1, 2
Let v be -3 - (-8 + 2) - 1. Factor 53*t**4 + 6 - t**5 - 9*t - 53*t**4 - 2*t**5 - 6*t**v + 12*t**3.
-3*(t - 1)**3*(t + 1)*(t + 2)
What is t in -335*t - 224450 - 1/8*t**2 = 0?
-1340
Let i(j) be the first derivative of -j**6/4 - 9*j**5/5 + 27*j**4/2 - 20*j**3 - 4525. Factor i(y).
-3*y**2*(y - 2)**2*(y + 10)/2
Let u = -261/61 - -2654/549. Factor 1/9*t**2 - u*t + 0.
t*(t - 5)/9
Let j(g) be the first derivative of g**4 + 1732*g**3/3 + 93310*g**2 - 188356*g + 1150. Determine a so that j(a) = 0.
-217, 1
Let d(g) be the second derivative of 8/5*g**2 + 126*g - 7/15*g**3 - 1/30*g**4 + 0. Factor d(c).
-2*(c - 1)*(c + 8)/5
Let f(p) = -36*p**2 + 11*p + 1. Let c(k) = -102*k**2 + 34*k + 2. Let o(s) = 4*c(s) - 11*f(s). Find i, given that o(i) = 0.
1/4, 1
Let i(h) be the second derivative of h**7/2100 + h**6/300 - h**3 - 5*h**2 - 12*h - 2. Let q(m) be the second derivative of i(m). Find k such that q(k) = 0.
-3, 0
Let o = -28/13651 + 27386/40953. Factor -2/9*k**3 + 10/9*k + o + 2/9*k**2.
-2*(k - 3)*(k + 1)**2/9
Let t(f) be the third derivative of -f**6/30 + 62*f**5/15 - 61*f**4/6 + 3*f**2 + 348. Find i, given that t(i) = 0.
0, 1, 61
Solve -957*a - 450*a + 432*a - 3*a**2 = 0 for a.
-325, 0
Suppose 20*z - 51 = -251. Let q be (z - -6) + 4 + 2. Factor -8/3 + 2/3*s**3 - 6*s**q + 2/3*s**4 + 22/3*s.
2*(s - 1)**3*(s + 4)/3
Let n(s) = 4*s**2 - 112*s + 308. Let j = 1 - 4. Let k(b) be the first derivative of b**3/3 - 37*b**2/2 + 103*b - 115. Let r(z) = j*n(z) + 8*k(z). Factor r(m).
-4*(m - 5)**2
Let m(x) = 17*x**2 - 3712*x - 2406. Let d be m(219). Find h, given that 5/3*h**4 + 0 + 0*h - 1/3*h**5 + 4/3*h**2 - 8/3*h**d = 0.
0, 1, 2
Let c(b) be the second derivative of 5*b**4/12 + 115*b**3/6 + 43*b + 2. Factor c(x).
5*x*(x + 23)
Let y(u) be the second derivative of 2*u**4 + 3*u**2/2 - 3*u - 1. Let g(j) = j**3 + 47*j**2 + 7. Let w(x) = 3*g(x) - 7*y(x). Let w(n) = 0. What is n?
0, 9
Let t(x) be the second derivative of x**4/28 - 25*x**3/14 + 36*x**2/7 - 28*x - 15. Solve t(c) = 0.
1, 24
Let c be 570/(-133)*(250/(-90) - -2). Factor 44/3*i - c*i**2 - 2/3*i**3 - 32/3.
-2*(i - 2)*(i - 1)*(i + 8)/3
Suppose 1579*n - 1577*n - 3*f = 0, -18 = -20*n - 5*f + 52. What is r in 51/2*r**2 + 1/6*r**n + 44217/2 + 2601/2*r = 0?
-51
Let j(m) be the first derivative of -2*m**5/35 + 31*m**4/14 - 118*m**3/21 + 29*m**2/7 + 57. What is x in j(x) = 0?
0, 1, 29
Let k(j) be the second derivative of -191*j - 6*j**3 - 1/5*j**5 + 0 + 10/3*j**4 + 0*j**2. Solve k(r) = 0.
0, 1, 9
Let r(b) = 4*b**3 + 33*b**2 + 86*b + 2. Let h(l) = -2*l**3 + l**2 - 2*l - 2. Let a(x) = -2*h(x) - 2*r(x). What is g in a(g) = 0?
-14, -3, 0
Let a(i) be the first derivative of -2*i**5/15 - 4*i**4/3 + 2*i**3/3 + 26*i**2/3 + 32*i/3 - 10640. Find q such that a(q) = 0.
-8, -1, 2
Factor 316414*w + 2324360*w + 5*w**3 - 12455*w**2 + 3310076*w + 2207860*w - 7750125 - 396135*w.
5*(w - 1245)**2*(w - 1)
Let q(r) be the second derivative of -r**7/42 + 47*r**6/30 - 571*r**5/20 + 341*r**4/12 + 1150*r**3/3 - 1058*r**2 - 2514*r. Determine z, given that q(z) = 0.
-2, 1, 2, 23
Let i = 3217 - 3214. Let y(f) be the first derivative of -9/4*f**4 + 1 + f + 5*f**i - 7/2*f**2. Factor y(l).
-(l - 1)*(3*l - 1)**2
Let r be (-13)/(273/(-18))*(-28)/(-12). Factor -4/15 + 2/15*n**r - 2/15*n.
2*(n - 2)*(n + 1)/15
Let h = 22 + -18. Let b be 111/(-74)*4/(-3). What is k in -32*k**5 + 16*k**b + 5*k + k**3 + 29*k**3 - 3*k - 16*k**h = 0?
-1, -1/4, 0, 1
Let d(p) be the second derivative of 5*p + 4/63*p**7 + 19/45*p**6 + 14/15*p**5 + 0*p**2 + 2/3*p**4 + 3 + 0*p**3. Factor d(i).
2*i**2*(i + 2)**2*(4*i + 3)/3
Let o(i) = -11*i**2 + 910*i - 211770. Let s(a) = a**2 + a + 17. Let k(h) = -o(h) - 10*s(h