9)
Solve -2/5*h**2 + 24/5*h + 56/5 = 0.
-2, 14
Let i(d) = 5*d**3 + 33*d**2 + 39*d + 11. Let n(g) = -2*g**3 - 2*g**2. Let h(u) = i(u) - 6*n(u). Factor h(x).
(x + 1)**2*(17*x + 11)
Let i(u) = 4*u + 1. Let t(d) be the third derivative of d**5/30 - 19*d**4/6 + 1811*d**3/6 - 29*d**2 - 2. Let l(x) = -22*i(x) + 2*t(x). Factor l(h).
4*(h - 30)**2
Suppose 0 = 29*o - 100*o - 13632. Let i be (-6 + o/(-30))/((-2)/(-10)). Factor -1/2*t**3 + 0*t + 1/6*t**5 + 1/3*t**i + 0*t**4 + 0.
t**2*(t - 1)**2*(t + 2)/6
Let i(d) be the second derivative of d**4/12 + 13*d**3/6 - 6*d**2 + 15*d. Let k be i(-15). Factor 12 + 36*u - 54 + 18 + 3*u**3 - k*u**2.
3*(u - 2)**3
Let c(x) be the third derivative of x**6/30 - 2*x**5/3 - 11*x**4/6 + 120*x**3 - 6*x**2 + 2*x - 24. Suppose c(o) = 0. What is o?
-4, 5, 9
Let q = -424 + 419. Let c be (q*1/(-15))/((-5)/(-6)). Factor 8/5*j**2 + c*j**3 + 0 + 8/5*j.
2*j*(j + 2)**2/5
Let m(o) be the third derivative of -o**6/18 - 17*o**5/10 + 22*o**4/3 - 101*o**3/3 - 6*o**2 - 2. Let w(d) be the first derivative of m(d). Factor w(z).
-4*(z + 11)*(5*z - 4)
Let n(o) be the third derivative of 65*o**6/6 + 217*o**5/10 - 433*o**4/4 - 2*o**3/3 + 19*o**2 + 8*o - 3. Determine s so that n(s) = 0.
-2, -1/650, 1
Let w(k) be the second derivative of -5*k**7/168 + k**6/8 - k**5/5 + k**4/6 - 29*k**3/2 - k + 31. Let l(s) be the second derivative of w(s). Factor l(o).
-(o - 1)*(5*o - 2)**2
Let n be 3/(-2) + (-1)/(1/(-2)). Let z be (7 - 3820/(-40))*(-1)/(-20). Suppose -7/8*m**5 + 9/8*m**4 - n - z*m**2 + 19/8*m**3 + 3*m = 0. What is m?
-2, 2/7, 1
Factor 1/2*w**2 + 15*w + 125/2.
(w + 5)*(w + 25)/2
Let y(x) be the second derivative of x**5/40 + 7*x**4/24 - x**3/3 - 7*x**2 + 54*x - 3. Factor y(s).
(s - 2)*(s + 2)*(s + 7)/2
Let f(j) be the second derivative of 7*j**5/10 - 4*j**4 - 15*j**3 + 162*j**2 + 1205*j. What is o in f(o) = 0?
-18/7, 3
Let c(g) = g**2 - 2*g + 1. Let q(j) = 6*j**2 - 204*j + 2. Let l(n) = 2*c(n) - q(n). Factor l(z).
-4*z*(z - 50)
Let v be 4820/(-112) + 44 + 2/7. Factor 23/4*r + 1/4*r**4 - 2 - 21/4*r**2 + v*r**3.
(r - 1)**3*(r + 8)/4
Factor 2369 + 2569*t**2 - 2565*t**2 - 712*t - 269.
4*(t - 175)*(t - 3)
Let v = 2378 - 2372. Let b(t) be the first derivative of -15/4*t**4 + 5/3*t**3 + 3*t**5 - v + 0*t - 5/6*t**6 + 0*t**2. Determine j so that b(j) = 0.
0, 1
Suppose -v + 40 = 4*m, 0*v - 3*v + 60 = -3*m. Let l be 2/v - (-11 - 412/(-48)). Factor 0*p - 3/2*p**5 + 1/2*p**2 + 0 - l*p**3 + 7/2*p**4.
-p**2*(p - 1)**2*(3*p - 1)/2
Suppose -5*f - 5 = -y - 2*f, -3*y + 3 = 3*f. Find w, given that 8*w**2 - 531*w**3 - 96*w + 527*w**3 + 11*w**y + 64 + 17*w**2 = 0.
1, 4
Let a = -50021 + 50024. Factor -6/7*m - 24/7*m**3 + 9/7*m**4 + 0 + a*m**2.
3*m*(m - 1)**2*(3*m - 2)/7
Let k(d) = -78*d**2 + 416*d - 380. Let u(s) = -42*s**2 + 209*s - 191. Let m(f) = -4*k(f) + 7*u(f). Factor m(j).
3*(j - 1)*(6*j - 61)
Let a = -1423 + 1415. Let p be (-6)/a - ((-94)/24 - -4). Find j, given that 22/15*j - 14/15*j**2 + 2/15*j**3 - p = 0.
1, 5
Let v(p) = p**3 - 26*p**2 - 33*p + 162. Let i be v(27). Let d(c) be the second derivative of 1/10*c**2 - 1/5*c**3 + 3/20*c**4 - 15*c + i. Factor d(l).
(3*l - 1)**2/5
Let r(p) be the third derivative of 7/120*p**5 + 1/96*p**4 + 0 - 7/12*p**3 - 287*p**2 - 1/480*p**6 + 0*p. Determine q so that r(q) = 0.
-1, 1, 14
Suppose 0 = -2*p - 3*a - 6, 2*a - 14 = -2*p + 4*a. Suppose f - 11 = 4. What is q in -13*q**2 - p*q**5 - f*q**2 - 13*q**2 + 9*q**4 + 29*q**2 = 0?
-1, 0, 2
Let n be (-147)/(12/32*4). Let c = n - -101. Let 36*v**2 - 20*v**3 - 164*v**5 - 70*v**c + 24*v + 98*v**5 + 111*v**5 - 57*v**4 = 0. Calculate v.
-1, -2/5, 0, 2/3, 2
Let g(u) be the second derivative of -u**6/105 + 8*u**5/35 + u**4/42 - 16*u**3/21 - 255*u - 12. Determine n so that g(n) = 0.
-1, 0, 1, 16
Let 22445 + 721*f + 199*f + 5*f**2 - 250*f = 0. What is f?
-67
Factor -999*y**3 + 3*y**5 + 132*y**4 - 2189*y**2 + 1184*y**2 - 336*y - 459*y**4.
3*y*(y - 112)*(y + 1)**3
Let i(v) be the third derivative of 3*v**8/784 - 163*v**7/490 - 61*v**6/140 + 163*v**5/35 + 55*v**4/7 + 246*v**2 - 1. Solve i(q) = 0.
-2, -2/3, 0, 2, 55
Let z(k) be the second derivative of 16/5*k**6 + 32/21*k**7 - 2 - 63/5*k**5 - 10*k - 2*k**3 + 26/3*k**4 + 0*k**2. Determine l, given that z(l) = 0.
-3, 0, 1/4, 1
Suppose 0*t + 305 = 3*t - j, -4*t - 3*j + 411 = 0. Let p be (4 - 2)/(17/(t/36)). Solve 4/9 - 1/9*c**3 - p*c**2 + 0*c = 0.
-2, 1
Let i(o) be the third derivative of 0*o**3 + 3/32*o**4 + 1/168*o**7 + 0 + 13/80*o**5 - 81*o**2 - 29/480*o**6 + 0*o. Factor i(d).
d*(d - 3)**2*(5*d + 1)/4
Factor -1252/17*y + 2/17*y**2 - 1254/17.
2*(y - 627)*(y + 1)/17
Find i such that 83/4*i**4 - 15/2*i + 0 - 225/4*i**3 - 9/4*i**5 + 181/4*i**2 = 0.
0, 2/9, 1, 3, 5
Let w(q) be the second derivative of -q**5/20 - 104*q**4/3 - 21632*q**3/3 - 791*q. Factor w(h).
-h*(h + 208)**2
Let k(y) be the first derivative of y**6/120 + y**5/40 + y**4/48 + 14*y + 110. Let r(p) be the first derivative of k(p). Solve r(c) = 0.
-1, 0
Let m(r) be the first derivative of r**4/4 - 19*r**3/3 + 87*r**2/2 - 117*r + 2402. Suppose m(i) = 0. Calculate i.
3, 13
Let x(k) = -k**2 - 117*k - 38. Suppose -8 = 23*o - 25*o. Let a(l) = -l**2 - 351*l - 113. Let w(n) = o*a(n) - 11*x(n). Factor w(c).
(c - 17)*(7*c + 2)
Let n = 44426050/197157 + -2/65719. Let 52/3*i - n - 1/3*i**2 = 0. Calculate i.
26
Let w(i) be the third derivative of i**6/12 + 589*i**5/30 + 521*i**4/6 - 232*i**3/3 - 15*i**2 - 13. Factor w(s).
2*(s + 2)*(s + 116)*(5*s - 1)
Let c be (14 + -21)/(2/8). Let f be c*(2/(-7) + 0). What is r in r - f*r - 3*r - r**2 + 14*r + 5 = 0?
-1, 5
Let w be 181/180 + (296 - 297). Let l(q) be the second derivative of 1/54*q**4 + 0 + 1/54*q**3 - 16*q + 0*q**2 + w*q**5. Determine p, given that l(p) = 0.
-1, 0
Suppose 1/5*v**5 + 32/5*v**3 - 2*v**4 - 32/5*v**2 + 0*v + 0 = 0. Calculate v.
0, 2, 4
Let q be (-550)/330*3 - (38/(-4) - 9/(-6)). Suppose -5*t = 10, 0*t = -3*n + 4*t + 20. Solve -1/4*x**q + x + 0 + 3/8*x**n - 3/2*x**2 = 0 for x.
-2, 0, 2/3, 2
Let o = -1583/3 + 31661/60. Let h(u) be the second derivative of 1/20*u**5 + 10*u + 0 + 0*u**3 - o*u**6 + 0*u**4 + 0*u**2. Let h(p) = 0. Calculate p.
0, 2
Let y(a) be the first derivative of -a**4/20 + 2*a**3/15 + 2*a**2/5 - 8*a/5 - 1969. Let y(l) = 0. Calculate l.
-2, 2
Let o(y) be the first derivative of y**4/12 + y**3/3 - 3*y**2/2 + 50*y - 82. Let n(r) be the first derivative of o(r). Determine l, given that n(l) = 0.
-3, 1
Let i(x) = x. Suppose 0*v + 2*v = -78. Let b = v - -38. Let g(z) = -4*z**2 + 21*z - 16. Let d(a) = b*i(a) + g(a). Find p such that d(p) = 0.
1, 4
Let o(l) = -l**3 + 7*l**2 - 5*l - 32. Let n be o(8). Let t be n/(-204) - (-2)/3. Factor 1/12*c**2 + t + 2/3*c.
(c + 4)**2/12
Let 7687*a**2 - 1205*a**4 + 2787*a**3 - 10272*a**2 - 195*a + 798*a**3 + 30*a**5 + 370 = 0. Calculate a.
-1/3, 1/2, 1, 2, 37
Factor 24282 + 2530*j - 15334*j + 90966 - j**3 - 389*j**2 + 4510*j - 28946*j.
-(j - 3)*(j + 196)**2
Let y(i) = -7*i**2 - 2784*i + 6. Let o(d) = -9*d**2 - 2788*d + 7. Let m(c) = -6*o(c) + 7*y(c). Suppose m(u) = 0. What is u?
0, 552
Let a(x) be the third derivative of -454756609*x**6/18 + 591361*x**5/6 - 3845*x**4/24 + 5*x**3/36 - 2450*x**2. Factor a(j).
-5*(1538*j - 1)**3/6
Let h(u) be the first derivative of u**3/12 + 1487*u**2/8 + 743*u/2 + 5704. Find x, given that h(x) = 0.
-1486, -1
Let t(b) be the first derivative of 32*b**2 - 22/5*b**5 + 108 - 15/2*b**4 - 1/3*b**6 - 72*b + 62/3*b**3. Let t(i) = 0. What is i?
-9, -2, 1
Let r(z) be the second derivative of -z**4/12 - 11*z**3/6 + 40*z**2 - 4162*z. Factor r(o).
-(o - 5)*(o + 16)
Let w = 241691 + -725072/3. Determine f, given that 0 + 3*f**3 + 4*f - 20/3*f**2 - w*f**4 = 0.
0, 1, 2, 6
Let g(f) = f**2 + 36*f + 1404. Let s(y) = -9*y**2 - 288*y - 11247. Let a(o) = -33*g(o) - 4*s(o). Factor a(p).
3*(p - 28)*(p + 16)
Let h(t) be the first derivative of -t**6/3060 - t**5/17 - 75*t**4/17 + 103*t**3/3 + 114. Let w(k) be the third derivative of h(k). Factor w(c).
-2*(c + 30)**2/17
Let n be (44/(-60))/((-16)/(-24)) - (4 - 132/24). Factor n*c**2 - 116/5*c + 1682/5.
2*(c - 29)**2/5
Let f be ((-2)/(-3))/(2/5). Let z(l) = -6*l**2 - 388*l - 1340. Let p be z(-61). Factor -2/3*o**p - f*o - 2/3.
-(o + 2)*(2*o + 1)/3
Factor -227717732 + 227717732 + i**2 - i**2 - 6*i**3 + 19*i**4 + 25*i**5.
i**3*(i + 1)*(25