/2*r**2 + 16*r - 128 = 0. Calculate r.
16
Let h(q) = -3*q**3 - 4*q**2 + 6*q + 13. Let w be h(-5). Let 263*a - 2*a**3 - 3*a**3 - w*a = 0. Calculate a.
-1, 0, 1
Determine f, given that 620*f - 131*f - 24*f**3 - 171*f**2 - 33*f**3 - 3*f**4 + 468*f - 726 = 0.
-11, 1, 2
Let o(v) be the second derivative of -v**7/126 - 11*v**6/36 - 61*v**5/15 - 707*v**4/36 - 187*v**3/18 + 605*v**2/12 + 3*v + 35. Solve o(h) = 0.
-11, -5, -1, 1/2
Let r(o) = -20*o**3 + 12*o**3 + 6*o**4 + 4 - 2*o**5 - 2*o**5 - 4*o**2. Let v(k) = -k**5 + k**4 - k. Let x(f) = r(f) - 6*v(f). Factor x(u).
2*(u - 2)*(u - 1)*(u + 1)**3
Let m(l) be the second derivative of -49/36*l**4 - 8/3*l**2 + 28/9*l**3 - 6*l + 0. Factor m(k).
-(7*k - 4)**2/3
Let a(z) be the third derivative of z**7/105 + 97*z**6/300 - 86*z**5/75 - 7*z**4/5 + 205*z**2. Determine x so that a(x) = 0.
-21, -2/5, 0, 2
Factor 10*c**2 - 21*c**2 + 26*c**2 + 0*c + 0*c - 3*c**3.
-3*c**2*(c - 5)
Suppose -2*z + 15 = q, -q - 3 = -6. Let a(t) be the second derivative of -1/100*t**5 + 0*t**4 + 0*t**2 - 1/150*t**z + 0*t**3 + t + 0. Solve a(h) = 0.
-1, 0
Factor 13/2*d**2 + 2 + 3/2*d**3 + 8*d.
(d + 2)**2*(3*d + 1)/2
Suppose -n + 2 + 0 = 0. Find g such that 15*g**n + 2*g**3 - 4*g**3 - g**3 - 2*g**3 = 0.
0, 3
Factor -416 + 7*o + 7*o**2 - o**3 + 418 + 3*o**3.
(o + 1)*(o + 2)*(2*o + 1)
Let d(t) be the third derivative of 0 - 1/4*t**4 + 0*t**3 - 1/30*t**5 + 20*t**2 + 0*t. Factor d(g).
-2*g*(g + 3)
Let n(w) = w**4 + 3*w**3 + 21*w**2 - 19*w + 12. Let r(t) = -t**3 - t**2 + t - 1. Suppose -d - 44 = -8. Let j(z) = d*r(z) - 4*n(z). Determine h so that j(h) = 0.
1, 3
Let j(g) be the first derivative of 28*g**6/39 + 1486*g**5/65 + 2562*g**4/13 + 398*g**3/3 + 26*g**2 - 292. Suppose j(y) = 0. What is y?
-13, -2/7, -1/4, 0
Let z(m) = -m**3 + 6*m**2 + 4*m - 15. Let p(o) = -o**2 - 10*o - 10. Let j be p(-8). Let r be z(j). Factor -5 + 6 - r + 20*v + 28*v**2.
4*(v + 1)*(7*v - 2)
Let d(u) = -u**4 - 130*u**3 - 299*u**2 - 181*u. Let o(p) = -44*p**3 - 100*p**2 - 60*p. Let i(n) = -4*d(n) + 11*o(n). Let i(h) = 0. Calculate h.
-4, -1, 0
Let k(i) be the first derivative of 2*i**5/15 - 5*i**4/3 - 26*i**3/9 + 22*i**2/3 + 214. Factor k(c).
2*c*(c - 11)*(c - 1)*(c + 2)/3
Factor -68/9*x + 2/9*x**2 - 16.
2*(x - 36)*(x + 2)/9
Suppose 60 = 30*z - 35*z. Let k be 24/32 - (-3)/z. Determine r so that 0*r**2 + k*r - 1/4 + 1/4*r**4 - 1/2*r**3 = 0.
-1, 1
Let g(x) be the third derivative of -x**8/784 + 3*x**7/490 - x**6/140 - x**5/70 + 3*x**4/56 - x**3/14 + 26*x**2. Find o such that g(o) = 0.
-1, 1
Let f(p) = -12*p**2 + 2*p + 12. Let c(y) = -10*y**2 + 2*y + 12. Let v(x) = 5*c(x) - 4*f(x). Factor v(w).
-2*(w - 3)*(w + 2)
Suppose 2*f - 10 = -4. Let p be (f/(-2)*-8)/1. Factor -18*j**2 + p*j**3 - j**4 - 3 - 2*j**4 + 9*j + 3*j.
-3*(j - 1)**4
Suppose -2*v - 1 = -11. Suppose -2*y = v*y. Factor 0*n**2 + 2/5*n**3 + 0*n - 2/5*n**4 + y.
-2*n**3*(n - 1)/5
Let w(c) = -2*c - 3. Let i be w(-3). Suppose b = -5*g - 0*g - 11, 3*b + 5*g = -i. Factor -f**b - 7*f**2 + 3*f**3 - 2*f**2 - 15*f**5 + 22*f**4.
-3*f**2*(f - 1)**2*(5*f + 3)
Let x(i) be the second derivative of -i**5/24 - i**4/4 - 19*i**3/36 - i**2/2 + i - 161. Factor x(v).
-(v + 1)*(v + 2)*(5*v + 3)/6
Let c be (2/(-10))/((-6)/15). Suppose -2*v + 25 = -5*r, 44*r - 15 = 2*v + 47*r. Solve -c + 1/8*i**2 + v*i = 0.
-2, 2
Let f be 3/(2 - (-6)/(-12)). Factor 28 - 13*b**f + 32*b + 17*b**2 + 0*b**2.
4*(b + 1)*(b + 7)
Let a = 426 - 61343/144. Let c(l) be the third derivative of -a*l**4 + 7*l**2 + 0 + 0*l - 1/360*l**5 + 1/720*l**6 + 1/36*l**3. Suppose c(j) = 0. What is j?
-1, 1
Let u = -11076 - -11078. Find w, given that 1/2*w**3 + 0*w + 0 + w**u = 0.
-2, 0
Let l(p) be the second derivative of -2*p**7/7 + 52*p**6/15 - 34*p**5/5 - 4*p**4 + 74*p**3/3 - 28*p**2 - 59*p. Solve l(a) = 0.
-1, 2/3, 1, 7
Let x = -1769/5 - -355. Factor 8/5*l - 2/5*l**3 + x*l**2 + 0.
-2*l*(l - 4)*(l + 1)/5
Let m be (12 - 12)*2/(-8) + (-12)/(-4). Factor -12/7 + 26/7*u - 2/7*u**m + 2/7*u**4 - 2*u**2.
2*(u - 2)*(u - 1)**2*(u + 3)/7
Let m(n) be the first derivative of -n**6/18 + 14*n**5/5 - 587*n**4/12 + 2702*n**3/9 + 98*n**2 - 2744*n/3 - 148. Determine s, given that m(s) = 0.
-1, 1, 14
Let a be 1/(-1*(-4)/12). Suppose -18 = 2*d - a*d. Let u(z) = 13*z**2 + 4*z - 9. Let g(k) = -3*k**2 - k + 2. Let x(v) = d*g(v) + 4*u(v). Factor x(q).
-2*q*(q + 1)
Let p(j) = 3*j**2 + 18*j + 7. Let v be p(-5). Let a(g) = 9*g**2 - 28*g. Let k(o) = -6*o**2 + 19*o. Let b(u) = v*k(u) - 5*a(u). Solve b(z) = 0 for z.
0, 4
Let a(u) be the first derivative of 1/2*u**2 + 16 + 1/5*u**3 - 2/5*u. Find l such that a(l) = 0.
-2, 1/3
Let a(j) be the second derivative of j**6/5 - j**5 + 2*j**4 - 2*j**3 + j**2 - 2*j - 13. Solve a(k) = 0 for k.
1/3, 1
Suppose -17*y = -12*y - 19*y + 28. Suppose 1/6*m**y + 1/3 + 1/2*m = 0. Calculate m.
-2, -1
Let b(g) = g**2 + 18*g + 27. Let y be b(-14). Let u = y + 88/3. Factor -2*l - 3*l**2 - u.
-(3*l + 1)**2/3
Let l(y) be the first derivative of y**5/10 - 3*y**4/8 + y**3/6 + 3*y**2/4 - y - 372. Factor l(g).
(g - 2)*(g - 1)**2*(g + 1)/2
Let o be -2*(0 - (165/6 - -3)). Let k = o + -61. Find x such that 2/5*x**3 + k + 2/5*x**2 - 2/5*x**4 - 2/5*x = 0.
-1, 0, 1
Let c(z) = -z**2 + 69*z - 434. Let g be c(62). Solve 0*v**3 + g - 2/11*v**5 - 4/11*v**2 + 4/11*v**4 + 2/11*v = 0.
-1, 0, 1
Let q(j) be the second derivative of 0*j**2 - 2/21*j**3 - 4*j + 1/42*j**4 + 0. Factor q(l).
2*l*(l - 2)/7
Let c(y) be the first derivative of 2*y**3/11 - 34*y**2/11 + 2*y + 92. Factor c(u).
2*(u - 11)*(3*u - 1)/11
Let i = 1281 + -1279. Let v(g) be the second derivative of 0*g**i + 0 + 1/80*g**5 + 0*g**3 + 9*g - 1/48*g**4. Let v(p) = 0. What is p?
0, 1
Let y(d) = -45*d - 89. Let f(j) = -11*j - 22. Let h(l) = -9*f(l) + 2*y(l). Let x be h(-2). Factor -1/3*k - 2/3*k**3 - 2/3 + 5/3*k**x.
-(k - 2)*(k - 1)*(2*k + 1)/3
Let 0 - 24/5*a**5 + 2*a**4 - 2*a**2 - 6/5*a + 6*a**3 = 0. Calculate a.
-1, -1/3, 0, 3/4, 1
Let k(z) be the first derivative of -8*z**5/35 - 5*z**4/14 + 4*z**3/21 + 3*z**2/7 + 238. Factor k(q).
-2*q*(q + 1)**2*(4*q - 3)/7
Let w = -20 + 10. Let r be ((-108)/(-135))/((-4)/w). Find b such that 16*b + 60 - 4*b**3 + 0*b**3 - 92 + 5*b**2 + 3*b**r = 0.
-2, 2
Let v(h) be the third derivative of h**9/113400 - h**8/50400 - h**7/9450 + h**4/12 + 7*h**2. Let a(z) be the second derivative of v(z). Factor a(l).
2*l**2*(l - 2)*(l + 1)/15
Let c = -11619/2 + 5823. Determine i so that -2*i**4 + c + 81/4*i - 4*i**3 + 9/2*i**2 - 1/4*i**5 = 0.
-3, -1, 2
Let m(c) be the first derivative of -5*c**4/12 - 25*c**3/3 - 125*c**2/2 + 12*c + 9. Let h(f) be the first derivative of m(f). Factor h(y).
-5*(y + 5)**2
Suppose 3*u + 7 = -5*q - 0, -2*u - 8 = 5*q. Suppose 3*a = -j - 11, 3*j - 2*a + u = 23. Find n, given that -6*n - 4*n**2 - 7*n + j - 4*n**3 + 17*n = 0.
-1, 1
Find x such that 4*x**3 - 4*x**2 + 23 - 23 - 2*x**3 = 0.
0, 2
Let i(f) = -f**3 + 7*f**2 + 7*f - 7. Let z be i(8). Let r be (-1)/(-4 + 4 - (-35)/z). Factor r*q + 0 + 3/7*q**2.
3*q*(q + 1)/7
Let d be 25/35 - 2/(-7). Let o(x) = 3*x + 1. Let t be o(d). Let -4*n - 4*n**3 + 2*n**3 + 10*n**3 - t*n**2 = 0. Calculate n.
-1/2, 0, 1
Let z(k) = -k**2 + 6*k + 2. Let o be z(6). Let q = 27 - 22. What is j in -j - 9*j**o - j + 2*j**2 + q*j**2 = 0?
-1, 0
Let i = -266 + 275. Suppose -12*j = -15*j + i. Find m such that 0*m + 1/4*m**j - 1/4*m**2 + 0 = 0.
0, 1
Let p(b) be the first derivative of -3*b**6/2 + 114*b**5/5 - 261*b**4/4 + 72*b**3 - 30*b**2 + 510. What is k in p(k) = 0?
0, 2/3, 1, 10
Suppose 5*j + 2*c + 2*c - 160 = 0, j = 5*c + 61. Solve -33*w - j*w**2 - 4 - 88*w**3 + 72*w**3 + 9*w = 0.
-1, -1/4
Let b = 113/14 - -277/42. Let x(p) be the first derivative of 26*p**2 - b*p**3 - 7 - 8*p. Factor x(d).
-4*(d - 1)*(11*d - 2)
Let j(a) be the first derivative of a**4/78 - 2*a**3/39 - 3*a - 6. Let p(f) be the first derivative of j(f). Determine n so that p(n) = 0.
0, 2
Let v(a) be the second derivative of 4/7*a**2 - 17/42*a**3 - 1/140*a**5 + 0 + 5/42*a**4 + 2*a. Find f such that v(f) = 0.
1, 8
Let i be 8/(-44) + ((-122)/(-308) - 8/(-28)). Factor -i*v**5 + 162*v - 9*v**2 - 108 - 8*v**4 - 73/2*v**3.
-(v - 1)**2*(v + 6)**3/2
Let y = -14 - -3. Let f = y - -30. Factor -f*w + 18*w**2 - 18 - 8*w - 3*w**3 + 18.
-3*w*(w - 3)**2
Let d(f) be the first derivative of 16*f**2 + 4/5*f**5 + 0*f + 8/3*f**3 - 5*