= 0.
-56, 1
Let c = -173209 + 173212. Solve 7/6*z**c + 2 + 11/2*z**2 - 26/3*z = 0 for z.
-6, 2/7, 1
Solve -108*m - 3/2*m**2 - 3861/2 = 0.
-39, -33
Let w(d) be the third derivative of -d**7/840 + d**6/240 - 19*d**4/8 - 62*d**2. Let i(r) be the second derivative of w(r). Determine u so that i(u) = 0.
0, 1
Let m(a) be the first derivative of -a**5/15 + 37*a**3/9 - 12*a + 1816. Solve m(y) = 0 for y.
-6, -1, 1, 6
Let p(k) be the first derivative of k**8/1008 - k**6/180 + k**4/72 + 33*k**2/2 + 3*k + 273. Let f(b) be the second derivative of p(b). Factor f(l).
l*(l - 1)**2*(l + 1)**2/3
Let s(v) be the third derivative of 0*v + 1/60*v**6 - 1/12*v**4 + 1/10*v**5 - v**2 - v**3 + 36. Factor s(y).
2*(y - 1)*(y + 1)*(y + 3)
Let t(s) be the third derivative of -s**5/30 - 35*s**4/4 - 206*s**3/3 - 2*s**2 + 547*s. Factor t(b).
-2*(b + 2)*(b + 103)
Let v(h) be the first derivative of -230 + 0*h - 2/3*h**4 + 4/3*h**2 + 2/15*h**5 - 2/9*h**3. Factor v(x).
2*x*(x - 4)*(x - 1)*(x + 1)/3
Let v = -427/272 - -111/68. Let b(k) be the second derivative of v*k**2 + 0 - 1/96*k**4 + 0*k**3 - 26*k. Factor b(u).
-(u - 1)*(u + 1)/8
Let q(l) = -l**4 + l**3 - 6*l**2 - 2*l. Let c(b) = -22*b**3 + 36*b**2 - 18*b - 40. Let w(i) = 5*c(i) - 15*q(i). Factor w(f).
5*(f - 5)*(f - 2)**2*(3*f + 2)
Let k(r) be the first derivative of -r**3/18 + 17*r**2/4 + 341*r/3 + 2751. Let k(c) = 0. What is c?
-11, 62
Let y = -274 - -392. Suppose 36*m - y + 10 = 0. What is u in 6/7*u**4 + 2/7*u**2 + 10/7*u**m + 0 - 2/7*u = 0?
-1, 0, 1/3
Let u(t) be the first derivative of 175*t**6/6 + 177*t**5 - 1525*t**4/4 - 4755*t**3 - 9855*t**2 - 1080*t + 305. Find i, given that u(i) = 0.
-3, -2/35, 4
Let j(o) be the first derivative of -o**6/1620 + o**5/270 + 17*o**3 + o**2 - 57. Let l(x) be the third derivative of j(x). Suppose l(n) = 0. Calculate n.
0, 2
Let g(o) = -2*o + 37. Let c be g(17). Let u be (-6)/(-11) - (-16)/11. Solve -w**2 - 52*w**5 + c*w**3 - 3*w**2 + 51*w**5 - w**u + w**4 + 2*w = 0.
-2, 0, 1
Let r(y) = -y**4 - y**3 - 3*y**2 + 5. Suppose -44 = 44*z + 176. Let d(o) = o**4 + 2*o**3 + 3*o**2 - 6. Let u(f) = z*d(f) - 6*r(f). Factor u(j).
j**2*(j - 3)*(j - 1)
Let d(f) = -6*f**4 - 13*f**3 + 9*f**2 + 22*f - 6. Let k(l) = -l**4 + l**3 + l - 3. Let q(o) = -d(o) + 2*k(o). Factor q(y).
y*(y + 1)*(y + 4)*(4*y - 5)
Let h = -63 + 79. Suppose h*r = 31 + 17. Let -x**3 + 0*x**r - x + 4*x**3 - 2*x = 0. What is x?
-1, 0, 1
Suppose -2*z = z + 4*n - 87, -z + 13 = -4*n. Suppose -2*u - 3*u = -z. What is p in 8*p + 14*p - 5*p**3 - 5*p**u - 15*p**2 - 12*p + 15*p**4 = 0?
-1, 0, 1, 2
Let a(h) be the third derivative of -6*h**3 - 37*h**2 - 1/60*h**6 + 0 - 7/4*h**4 - h - 4/15*h**5. Suppose a(f) = 0. Calculate f.
-3, -2
Let x(q) be the third derivative of -q**6/280 + 801*q**5/140 - 213867*q**4/56 + 19034163*q**3/14 + 14*q**2 - 20*q. Solve x(o) = 0.
267
Let z = 183 - 171. Determine y, given that -76*y**4 - 12*y**3 + 4*y**2 + z*y + 152*y**4 - 8 - 72*y**4 = 0.
-1, 1, 2
Let j be 11*66/(10 + -4). Solve -20*f - 193 + j - 4*f + f**2 - 3*f**2 = 0.
-6
Let f(s) be the first derivative of -94 - 14/15*s**3 + 1/10*s**4 + 11/5*s**2 - 2*s. Factor f(n).
2*(n - 5)*(n - 1)**2/5
Let x(t) be the second derivative of -1/3*t**3 - 6 + 2/9*t**2 - 2*t + 2/27*t**4. Factor x(d).
2*(d - 2)*(4*d - 1)/9
Solve 18937 + 202*u - 14600*u**2 + 14596*u**2 - 1482*u - 121337 = 0.
-160
Let o(i) = 3*i**3 - i**2 + i - 5. Let h be o(3). Suppose 4*n - h = -n. Factor -2*w**2 - 11 + n + 5.
-2*(w - 2)*(w + 2)
Let 71/3*b - 143/6 + 1/6*b**2 = 0. Calculate b.
-143, 1
Let z(m) = 2*m**3 - 22*m**3 + 14*m**2 + 2*m**3 + 9*m - 13*m + 3*m. Let w(o) = 73*o**3 - 56*o**2 + 3*o. Let u(g) = 4*w(g) + 18*z(g). Factor u(d).
-2*d*(2*d - 1)*(8*d - 3)
Let b(x) = -x**2 + 52*x - 48. Let l = -559 + 610. Let c be b(l). Let 0 - 2/5*a**2 + 2/5*a**c + 0*a = 0. Calculate a.
0, 1
Let f(j) be the second derivative of 7*j**5/20 + 67*j**4/60 + 29*j**3/30 - 3*j**2/10 + 1231*j. Factor f(r).
(r + 1)**2*(35*r - 3)/5
Let b be 52/9 + -1 + (-30)/(-135). Suppose 5 = j - 3*g + 3, b*j + 4*g - 10 = 0. Solve 1/4*f**4 - 3/2*f**3 + 0 - j*f + 3*f**2 = 0 for f.
0, 2
Factor -36*j**2 + 5*j - 8*j - 4*j + 40*j**3 + 3*j.
4*j*(j - 1)*(10*j + 1)
Suppose -22*s + 20*s = -10. Find c such that -c**3 + 0*c**3 - s*c - 6 + 6*c**2 + 5 + 1 = 0.
0, 1, 5
Let r(x) = -x**3 - 10*x**2 - 14*x + 28. Let h be r(-9). Let d = 76 - h. Factor -5/2*v + d + 1/2*v**2.
(v - 3)*(v - 2)/2
Let q be (1311/(-532))/((-2)/1192) + 1. Let w = q - 1468. What is j in -22/7*j + w*j**2 - 2/7*j**3 + 12/7 = 0?
1, 2, 3
Let a(m) be the third derivative of 25*m**8/112 + 69*m**7/14 + 1139*m**6/40 - 473*m**5/20 - 105*m**4 - 98*m**3 + 3*m**2 + 406*m. Find l such that a(l) = 0.
-7, -2/5, 1
Let p(t) be the third derivative of 28*t**2 + 5/8*t**4 + 0*t + 0*t**3 - 1/12*t**5 + 0. Factor p(x).
-5*x*(x - 3)
Find t such that -5*t**2 + 121 - 10*t + 58*t + 166 - 175 + t**2 = 0.
-2, 14
Let f(z) be the first derivative of z**8/420 + 2*z**7/35 - 5*z**3/3 + 2*z - 41. Let s(m) be the third derivative of f(m). What is n in s(n) = 0?
-12, 0
Let f(v) be the second derivative of v**4/4 - 91*v**3 + 24843*v**2/2 - 681*v. Factor f(r).
3*(r - 91)**2
Suppose 9 = 8*d + 13 - 28. Let w(f) be the first derivative of 0*f + 5/3*f**3 + 1/2*f**5 + 45/8*f**4 - 5*f**6 - d + 0*f**2. Find y, given that w(y) = 0.
-2/3, -1/4, 0, 1
Let a(q) = -q**4 + 122*q**3 - 697*q**2 + 1213*q - 650. Let k(r) = -30*r**3 + 174*r**2 - 303*r + 162. Let x(b) = 3*a(b) + 13*k(b). Factor x(s).
-3*(s - 2)**2*(s - 1)*(s + 13)
Let n be 3/((-33)/22*6/(-9)). Suppose -17 + 67 = 4*b + 2*p, -3*p + 15 = 0. Solve 4*g**5 - g - 4*g**2 + g - 2*g**4 - b*g**n + 0*g**2 = 0 for g.
-1, -1/2, 0, 2
Let o(q) be the first derivative of 130*q - 5/3*q**3 + 86 - 125/2*q**2. Let o(t) = 0. What is t?
-26, 1
Let f(u) be the first derivative of u**8/840 + u**7/210 - u**6/60 + 23*u**3 - 96. Let s(i) be the third derivative of f(i). Let s(b) = 0. What is b?
-3, 0, 1
Let v(o) = -o**2 + 3*o - 2. Let p be v(0). Let a be (-8)/(-2) - (-3 - p). Determine z so that 5 - a - 240*z - 8*z**2 + 244*z = 0.
0, 1/2
Suppose 62*x - 12*x - 24*x - 208 = 0. Let x*q**2 + 0 + 10*q - 1/2*q**4 + 1/2*q**3 = 0. Calculate q.
-2, 0, 5
Let f(j) = 4*j**2 - 498*j - 994. Let b(p) = -12*p**2 + 1495*p + 2975. Let y(g) = -2*b(g) - 7*f(g). Let y(q) = 0. Calculate q.
-2, 126
Let s = 221 - 217. Solve 10*c - 22*c - 6 - 2*c**2 + 8*c**s - c + 12*c**3 - c**5 + 2*c**5 = 0.
-6, -1, 1
Let a = 3755 - 3755. Let r(g) be the third derivative of 1/54*g**4 + 1/270*g**5 + 0*g**3 - 1/180*g**6 + 0*g - 6*g**2 + a. Determine d so that r(d) = 0.
-2/3, 0, 1
Let h(r) be the first derivative of -r**4 - 172*r**3/3 + 368*r**2 - 752*r - 3602. Let h(l) = 0. Calculate l.
-47, 2
Let v(x) be the first derivative of x - 38 - 1/4*x**4 + 1/2*x**2 + 0*x**3. Let z(r) = 6*r**3 + 3*r**2 - 6*r - 10. Let u(f) = -21*v(f) - 3*z(f). Factor u(n).
3*(n - 3)*(n - 1)*(n + 1)
Let v(g) be the first derivative of -g**4/24 - 4*g**3 - 35*g**2/3 + 1153. Suppose v(p) = 0. What is p?
-70, -2, 0
Suppose 20*a - 36*a + 32 = 0. Determine o, given that 4*o**4 - 1995*o + 16 - 20*o**a + 1995*o = 0.
-2, -1, 1, 2
Let g(s) = -45*s + 12. Let w be g(-1). Factor -20*y**2 - w - 59 + 18*y**2 - 118*y.
-2*(y + 1)*(y + 58)
Let k(a) = 3*a**2 + a - 2. Let q be k(1). Suppose -q*m = 2*s - 18, -m = 3*s - 4*s - 3. Solve 2*x**3 - 15*x**2 + 23*x**3 - 5*x**4 - m*x**2 + x**2 = 0.
0, 1, 4
Let h(i) = -73*i**3 - 6*i + 12*i**2 + 77*i**3 + 2*i**2 - 16 + 0*i**2. Let n(q) = 4*q**3 + 13*q**2 - 7*q - 16. Let o(b) = -3*h(b) + 2*n(b). Solve o(c) = 0.
-4, -1, 1
Let i be ((-1)/2)/((-525)/(-84)*-8). Let c(b) be the third derivative of 0 + i*b**5 + 0*b + 3/40*b**4 - 2/5*b**3 + 30*b**2. Factor c(h).
3*(h - 1)*(h + 4)/5
Let q = 100787 + -503926/5. Solve 144/5*n**3 - 18/5 + q*n**5 + 87/5*n - 12*n**4 - 162/5*n**2 = 0.
2/3, 1, 3
Suppose 128 = 8*s - 720. Factor -89*x**2 - s - 214 + 4*x**2 + 400*x + 5*x**3.
5*(x - 8)**2*(x - 1)
Factor 2042 - 36*d**2 + 20*d + 58*d - 2*d**3 + 662.
-2*(d - 8)*(d + 13)**2
Let y(q) be the second derivative of -q**4/48 - 77*q**3/2 - 3330*q - 1. Factor y(k).
-k*(k + 924)/4
Let y(t) be the second derivative of 1/189*t**7 - 4/45*t**5 + 2/3*t**2 - 6 + 0*t**6 - 1/9*t**4 + 7/27*t**3 - 3*t. Find z, given that y(z) = 0.
-2, -1, 1, 3
Factor -69009915*p**3 - 255*p**2 - 118*p + 69010060