).
(i + 2)**2*(i + 8)/2
Let r = 180/679 + 2/97. Let i = -2223085/7 - -317585. What is y in -2/7*y**3 + 10/7 - i*y**2 + r*y = 0?
-5, -1, 1
Suppose 79*h**4 + 3/2*h**5 + 0*h + 0 - 26*h**2 + 103/2*h**3 = 0. What is h?
-52, -1, 0, 1/3
Suppose 266*x - 6 = 263*x. Factor -370*q**2 + 36*q**x - 609*q + 81*q**3 + 12*q**4 + 10*q**2 - 3*q**5 - 363*q + 6*q**4.
-3*q*(q - 6)**2*(q + 3)**2
Let r(l) be the first derivative of -1/22*l**4 - 38/33*l**3 - 311 - 9*l**2 - 162/11*l. Factor r(n).
-2*(n + 1)*(n + 9)**2/11
Suppose -4*m = -31*m - 2889. Let t be -13 - -9 - 2/4*m. Solve -465/4*d**3 + 111/4*d**2 + t*d**4 + 15*d - 3 = 0 for d.
-1/3, 2/11, 1/2, 2
Let x(h) be the second derivative of -h**5/20 - h**4/12 + 7*h**3/3 + 12*h**2 - 444*h + 1. Factor x(i).
-(i - 4)*(i + 2)*(i + 3)
Let u be (-3)/2 + 10/4 + 1. Factor 40*s - 58*s**2 + 110*s**2 - 48*s**u.
4*s*(s + 10)
Suppose -3*z + b + 37 = 0, 4*b = 4*z - 6*z + 6. Let h = 13 - z. Factor 0*k**2 - 8 + k**2 - 5*k**h - 12*k.
-4*(k + 1)*(k + 2)
Let x = -549 - -552. Factor -623*z**2 - 6*z**3 - 220*z + 209 - 9 - 6*z**x + 511*z**2.
-4*(z + 5)**2*(3*z - 2)
Suppose 9 = 18*c - 9. Suppose 15 = -9*h + 33. Factor 1/3*q**h + 2/3*q - c.
(q - 1)*(q + 3)/3
Let -585/2*s**2 - 8100*s + 27000 - 5/2*s**3 = 0. What is s?
-60, 3
Let b(f) = -f**3 - f**2 - f + 7. Let p(l) = 4*l**4 + 308*l**3 + 3488*l**2 + 13488*l + 17776. Let v(u) = -16*b(u) + p(u). Let v(h) = 0. What is h?
-69, -4
Suppose 38/5*x**3 + 2/5*x**4 - 712/5*x + 896/5 + 48/5*x**2 = 0. What is x?
-16, -7, 2
Let h(z) be the first derivative of 0*z - 105 - 12/5*z**2 + 44/15*z**3 - 6/5*z**4 + 4/25*z**5. Let h(d) = 0. What is d?
0, 1, 2, 3
Let b(s) = s**3 + 9*s + 53. Let d be b(0). Factor y**2 + 8*y + 4*y**3 - 11*y - 30*y**2 - d*y - 23*y**2.
4*y*(y - 14)*(y + 1)
Let r(d) be the first derivative of -289*d**6/6 + 6001*d**5/5 - 37591*d**4/4 + 20377*d**3 + 7992*d**2 + 972*d + 4586. Solve r(x) = 0.
-2/17, 3, 9
Let u(l) be the first derivative of l**4 - 32*l**3 - 216*l**2 - 448*l - 1496. Solve u(s) = 0.
-2, 28
Let d(s) be the third derivative of s**6/480 - s**5/240 - 25*s**4/96 + 25*s**3/24 - 1534*s**2. Determine z, given that d(z) = 0.
-5, 1, 5
Let j(h) = -9*h**4 + 69*h**3 + 180*h**2 + 6. Let x(l) = -17*l**4 + 140*l**3 + 359*l**2 + 11. Let a(o) = -11*j(o) + 6*x(o). Determine s so that a(s) = 0.
-2, 0, 29
Suppose -4 - 16 = -5*m. Let -46*c**2 - 75*c + 69*c**3 - 24 - 102*c**3 - 35*c**2 - 3*c**m = 0. What is c?
-8, -1
Suppose 37 - 61 = 4*n. Let w(y) = -17*y**2 + 61*y - 145. Let j(g) = -14*g**2 + 62*g - 146. Let f(b) = n*w(b) + 7*j(b). Factor f(k).
4*(k - 2)*(k + 19)
Let d(y) be the second derivative of 5*y**7/112 + 19*y**6/80 + 63*y**5/160 + 5*y**4/32 - y**3/8 + 857*y. Suppose d(u) = 0. Calculate u.
-2, -1, 0, 1/5
What is z in 27/2 + 7*z**4 - 89/2*z**2 + 3*z**3 - 105/4*z - 3/4*z**5 = 0?
-2, -1, 1/3, 3, 9
Let i(q) = q**2 - 3*q - 18. Let s be i(6). Suppose 2*f = n - 14, 5*n + s*n = 4*f + 46. Factor 4*d + 3*d**3 - n - 11*d + 3*d**4 - 9*d**2 + 2*d - 10*d.
3*(d - 2)*(d + 1)**3
Let x(b) be the third derivative of -b**8/3360 + b**7/630 - b**6/360 + 7*b**4/3 + b**2 + 61*b. Let p(c) be the second derivative of x(c). Factor p(a).
-2*a*(a - 1)**2
Determine i so that -392/3*i + 70/3*i**2 + 320/3 + 2/3*i**3 = 0.
-40, 1, 4
Let t(g) be the second derivative of 0 + 9/5*g**2 - 11/30*g**3 + 1/60*g**4 - 81*g. Solve t(w) = 0.
2, 9
Let w be 452/24 + 14/12. Let k(z) = -53*z + 1062. Let m be k(w). Solve -2*a + 53/2*a**3 + 0*a**m + 0 - 49/2*a**5 + 0*a**4 = 0.
-1, -2/7, 0, 2/7, 1
Let u(d) = -215*d**2 - 19130*d + 447. Let a be u(-89). What is j in 1/3*j**3 + 1058/3 - 44/3*j**a + 437/3*j = 0?
-2, 23
Let q(f) be the first derivative of 2*f**3/57 + 574*f**2/19 + 164738*f/19 + 2171. Factor q(t).
2*(t + 287)**2/19
Let b be 7 + 9/((-54)/12). Let l(h) = h - 2. Let s be l(5). Factor b*k**3 - 2*k**3 + 4 - s*k**3 - 4*k**2 + 4*k**3 - 4*k.
4*(k - 1)**2*(k + 1)
Let g(u) = 3*u**2 + 5307*u - 3527178. Let w(q) = -2*q**2 - 2653*q + 1763590. Let n(k) = 3*g(k) + 5*w(k). Determine p, given that n(p) = 0.
1328
Let k be ((-135111)/1914 - -71)/((-12)/(-22)). Solve -15/2*g**2 - k*g + 3/4*g**3 + 15/2 = 0.
-1, 1, 10
Suppose -5*a + 3*w + 4 = -3*a, -2*a + 4 = 2*w. Suppose -40 = a*f - 46. Factor 10*q**3 + 2*q**4 + 12*q**2 + 8 - 4 + 6*q**2 - f*q + 17*q.
2*(q + 1)**3*(q + 2)
Let s(t) be the third derivative of t**6/1800 + 7*t**5/600 + t**4/12 - 11*t**3/3 + 4*t**2 + 2. Let w(c) be the first derivative of s(c). Factor w(v).
(v + 2)*(v + 5)/5
Let b(s) be the first derivative of s**6/150 + 23*s**5/75 - 4*s**4/5 + 40*s**2 + 103. Let y(a) be the second derivative of b(a). Let y(h) = 0. What is h?
-24, 0, 1
Solve 344/3*j**4 - 10/3*j**5 - 9960*j + 3024 - 4106/3*j**3 + 19588/3*j**2 = 0.
2/5, 2, 9, 14
Let a(t) = 127*t + 1018. Let q be a(-8). What is f in -58/3*f - 6*f**q - 4 = 0?
-3, -2/9
Suppose -63*h + 365 = -643. Find n such that 13*n**2 + h*n**2 + 4*n**3 - 68*n + 14 + 22 - 13*n**2 + 12*n**2 = 0.
-9, 1
Suppose 5*k - 64 = 11. Factor m**3 - 11*m - 6*m - 2 + k - 4 + 7*m**2.
(m - 1)**2*(m + 9)
Let v = 16995 + -16995. Suppose -117/4*d**3 - 10*d**2 - d + v - 81/4*d**4 = 0. What is d?
-1, -2/9, 0
Let q = 870 - 772. Suppose -210*d**3 + 9*d**5 + q*d**2 + 24 + 43*d**3 + 124*d + 25*d**4 - d**4 = 0. What is d?
-6, -1/3, 2
Let 7/4*j**2 + 1/4*j**3 - 7/4 - 1/4*j = 0. What is j?
-7, -1, 1
Let m(p) be the first derivative of 57 - 1/2*p**4 - 3/5*p**5 - p + 4/3*p**3 + p**2. Factor m(v).
-(v - 1)*(v + 1)**2*(3*v - 1)
Let y be (-2 - 1628/(-222))/(2*2). Factor 28/3*x**2 + y*x**3 + 0 + 0*x.
4*x**2*(x + 7)/3
Suppose 613*i - 1096 = 130. Determine l so that 0 - l - 1/2*l**5 + 1/2*l**4 - 1/2*l**i + 3/2*l**3 = 0.
-1, 0, 1, 2
Let k(q) be the first derivative of q**4/32 - 71*q**3/12 + 139*q**2/16 + 141*q/4 + 2265. Factor k(h).
(h - 141)*(h - 2)*(h + 1)/8
Let s(z) be the first derivative of 3/10*z**4 - 4/5*z**3 - 29 - 9/5*z**2 + 0*z. Factor s(m).
6*m*(m - 3)*(m + 1)/5
Let v(g) be the third derivative of g**8/6720 - g**7/504 + g**6/180 - 49*g**4/24 + 283*g**2. Let f(r) be the second derivative of v(r). What is q in f(q) = 0?
0, 1, 4
Factor 451290*f + 39643*f**2 - 34625*f + 134450*f**3 - 1655*f**4 + 365084*f**2 + 5*f**5 + 139445 + 8603*f**2.
5*(f - 167)**2*(f + 1)**3
Let t(n) be the second derivative of 1/110*n**5 - 20 - 1/33*n**3 - 3*n + 1/165*n**6 - 1/22*n**4 + 2/11*n**2. Determine j, given that t(j) = 0.
-2, -1, 1
Let d(w) = 2*w**3 - 60*w**2 + 65*w - 200. Let s be d(29). Factor -4/5*m - 14/5*m**2 - 18/5*m**s + 0 - 2/5*m**5 - 2*m**4.
-2*m*(m + 1)**3*(m + 2)/5
Let i(f) = f**3 + 279*f**2 + 6348*f + 48671. Let n = -290 - -287. Let t(c) = -280*c**2 - 6348*c - 48672. Let k(j) = n*t(j) - 4*i(j). Factor k(l).
-4*(l + 23)**3
Determine q, given that -6/11*q**2 + 0 + 234/11*q = 0.
0, 39
Let o = -424 + 440. Suppose 4*x + 5*p - 37 = 0, 2*x + 4*p - 2*p = o. Solve 0 + 1/7*z**4 - 1/7*z**2 + 0*z**x + 0*z = 0 for z.
-1, 0, 1
Let j(k) be the third derivative of 5*k**6/18 - 28*k**5/45 + k**4/6 + 1022*k**2. Factor j(b).
4*b*(b - 1)*(25*b - 3)/3
Let z = 163479/4 - 40869. Find u such that -39/4*u + 9 + z*u**2 = 0.
1, 12
Let v(a) be the second derivative of -a**6/225 - 11*a**5/15 + 8*a + 118. Suppose v(i) = 0. Calculate i.
-110, 0
Let c = -4675 + 14030/3. Let m(w) be the first derivative of -5/4*w**4 + 0*w**2 + 4 + 0*w - c*w**3. Suppose m(d) = 0. What is d?
-1, 0
Let w(o) = 12*o**2 - 48*o - 1150. Let q be w(12). Let -44/13 - 50/13*f - 6/13*f**q = 0. Calculate f.
-22/3, -1
Let u(s) be the third derivative of -5/12*s**5 + 0*s + 65/12*s**4 + 0*s**3 + 0 - 211*s**2. What is l in u(l) = 0?
0, 26/5
Factor 64/3 - 16*q**2 + 10/3*q**3 + 8/3*q + 2/3*q**4.
2*(q - 2)**2*(q + 1)*(q + 8)/3
Solve 56*i - 2744 - 2/7*i**2 = 0.
98
Suppose -11*w + 376 = 14*w + 326. Let d(o) be the third derivative of 1/30*o**5 + 0*o - 1/12*o**4 + 20*o**w + 0*o**3 + 0. Factor d(f).
2*f*(f - 1)
Let j(a) = -a - 4. Let h be j(-5). Suppose -u - 3*d = 6, -2*d - 3 = h. Factor 0*q**2 - 12*q**2 - 19*q**3 + u*q**3 - 3*q**5 - 3*q - 12*q**4 + q**3.
-3*q*(q + 1)**4
Let q(u) be the third derivative of -23*u - 7/20*u**5 + 3*u**2 + 0 + 5/6*u**4 - 2/3*u**3 + 1/30*u**7 - 1/60*u**6. Determine r so that q(r) = 0.
-2, 2/7, 1
Let b(f) be the third derivative of -f**5/180 - 275*f**4/72 + 46*f**3/3 + 10208*f**2. Solve b(l) = 0.
-276, 1
Let h(x) be the second derivative of x