 5*j. Let l(b) = 4*b**3 + 6*b**2 - 118*b - 224. Let n(y) = -4*f(y) + 2*l(y). Suppose n(p) = 0. What is p?
-8, -2, 7
Suppose -3*h - 4*c + 18 = -2*h, -h + 6 = c. Factor -9*q**2 + 4*q + q + 10*q**2 - q**3 - 2*q**h - 3.
-(q - 1)**2*(q + 3)
Factor 2/5*p**3 - 2/5*p - 658/5*p**2 + 658/5.
2*(p - 329)*(p - 1)*(p + 1)/5
Suppose -19*z - 1927 - 1957 = -3941. Solve 0 + 1/9*j**z + 1/9*j**2 - 10/3*j = 0 for j.
-6, 0, 5
Let j be -5 - (-6)/4*(-1518)/(-99). Let k be 18/30*(4/j + 0). Suppose 0*q + 0 + k*q**4 + 0*q**2 + 0*q**3 = 0. What is q?
0
Factor -134*h**2 + 8978*h - 601526/3 + 2/3*h**3.
2*(h - 67)**3/3
Suppose -8*p + 39 = 15. Factor 7*b**p + 2*b**4 - b**4 + 5*b + 10*b**2 - 12*b - 11*b**2.
b*(b - 1)*(b + 1)*(b + 7)
Let d(y) be the second derivative of y**5/60 - 3*y**4/4 + 100*y**3/9 - 50*y**2 + 49*y - 26. Determine z so that d(z) = 0.
2, 10, 15
Suppose 0 = -8*z + 63 - 31. Suppose 12 = 5*k + v, -z = -3*k - 27*v + 28*v. Factor 0*m**k + 1/5*m**4 + 2/5*m**3 - 2/5*m - 1/5.
(m - 1)*(m + 1)**3/5
Let u(r) be the second derivative of -3/8*r**4 - 37 - r - 1/2*r**2 + 3/4*r**3. Factor u(x).
-(3*x - 2)*(3*x - 1)/2
Determine j, given that 6076576*j + 9826*j**5 - 2108778*j**4 + 589334*j**4 - 881568*j**4 - 238144 - 51717280*j**2 + 147096784*j**3 = 0.
2/17, 122
Let c(k) = 2*k**2 + 38*k - 72. Let a(y) = -y**2 - 5*y + 2. Let r(g) = -a(g) - c(g). Determine f so that r(f) = 0.
-35, 2
Factor -6984/7 - 2346/7*l - 6/7*l**2.
-6*(l + 3)*(l + 388)/7
Factor 266 - 88 - 82 + 35*p + 0*p**3 - p**3 + 16*p**2 - 78.
-(p - 18)*(p + 1)**2
Let f(b) be the first derivative of -49/11*b**2 + 119 - 46/33*b**3 - 50/11*b + 1/22*b**4. Factor f(j).
2*(j - 25)*(j + 1)**2/11
Suppose 18/7*d**5 + 0*d + 2/7*d**4 + 0 - 18/7*d**3 - 2/7*d**2 = 0. What is d?
-1, -1/9, 0, 1
Let n = 963898/9 + -107092. Solve n*k + 16/3*k**2 - 50/9 - 8*k**3 = 0.
-1, 5/6
Let z be 13 + 4/(-12)*3. Suppose -15 = -3*t - 5*g, 4*g = -t - 4*t + z. Determine p so that -5*p**2 + t - 1338*p**3 - 5*p**4 + 0 + 1348*p**3 = 0.
0, 1
Let n(f) be the first derivative of -f**6/2 + 6*f**5/5 - 2*f**3 + 3*f**2/2 + 470. Suppose n(i) = 0. What is i?
-1, 0, 1
Factor 0 - 2/7*z**3 + 1412/7*z**2 - 2816/7*z.
-2*z*(z - 704)*(z - 2)/7
Let t = 341453 - 341451. What is l in 2*l**t + 1/3*l**3 + 8/3*l + 0 = 0?
-4, -2, 0
Let h be 8 + -4 + -3 - (2 + -5). Let q(m) be the second derivative of -7/2*m**3 + 21/20*m**5 + 2*m + 3*m**2 - 1/2*m**h + 0. Factor q(u).
3*(u - 1)*(u + 1)*(7*u - 2)
Factor 17022*j - 10*j**3 - 13188*j - 21*j**4 + 7776 + 19*j**4 + 402*j**2.
-2*(j - 16)*(j + 3)*(j + 9)**2
Let u(p) = 5*p**2 + 435*p + 1180. Let i(o) = 25. Let s(z) = -30*i(z) + u(z). Solve s(w) = 0 for w.
-86, -1
Let m(t) be the third derivative of 19*t**5/480 + 113*t**4/64 - 9*t**3/8 + 2*t**2 - 1230. Factor m(n).
(n + 18)*(19*n - 3)/8
Let h(j) = -22*j**3 + 70*j**2 + 64*j - 128. Let q(o) = 14*o**3 - 46*o**2 - 43*o + 85. Let k(v) = 5*h(v) + 8*q(v). Let k(m) = 0. What is m?
-2, 1, 10
Let b(s) be the third derivative of -s**8/16128 - s**7/48 - 49*s**6/16 - 7*s**5/20 + 12*s**2 - s. Let p(v) be the third derivative of b(v). Solve p(i) = 0.
-42
Let d be (-16157)/15 + 132/990. Let g be (17 - d/(-63))/(1/(-7)). Factor -4*l**2 + g + 5/3*l.
-(3*l - 2)*(4*l + 1)/3
Let b(y) be the second derivative of y**5/20 + y**4/3 + y**3/6 + 7*y**2/2 - 8*y + 3. Let k be b(-4). Let -15*c**4 + k*c**3 - 16*c**4 + 28*c**4 = 0. Calculate c.
0, 1
Let j(w) = -123*w**3 + 271*w**2 + 458*w + 72. Let g(p) = -42*p**3 + 90*p**2 + 153*p + 24. Let t be 363/(-66) + (-10)/4. Let s(x) = t*g(x) + 3*j(x). Factor s(d).
-3*(d - 4)*(d + 1)*(11*d + 2)
Factor -48/5*i + 2/5*i**2 + 38.
2*(i - 19)*(i - 5)/5
Let v = -39675 - -357079/9. Let x(r) be the first derivative of 24 - 3/2*r**4 + 0*r + 0*r**2 - v*r**3. Factor x(u).
-2*u**2*(9*u + 2)/3
Let w be ((-2)/8)/((-42 - -24)/54). Factor 3/4*j**2 + 3/2*j + w.
3*(j + 1)**2/4
Factor -3/4*y**3 - 501/4*y**2 + 0 + 126*y.
-3*y*(y - 1)*(y + 168)/4
Let l(i) be the first derivative of i**7/1260 + i**6/144 - i**5/60 - 2*i**2 - 12*i + 220. Let p(q) be the second derivative of l(q). Factor p(o).
o**2*(o - 1)*(o + 6)/6
Suppose -1006*u + 137*u = -1738. Find j such that -4/7 + 18/7*j**u + 10/7*j - 2*j**4 - 10/7*j**3 = 0.
-1, 2/7, 1
Let h(j) be the second derivative of -j**4/10 + 188*j**3/15 + 63*j**2/5 + 14*j - 39. Determine v, given that h(v) = 0.
-1/3, 63
What is z in -2/13*z**5 - 22/13*z**4 + 38/13*z**3 - 144/13 + 166/13*z**2 - 36/13*z = 0?
-12, -2, -1, 1, 3
Let x = 97/183 - -1259/732. Find m, given that -x + 1/2*m**2 - 3*m - 1/4*m**4 + m**3 = 0.
-1, 3
Let m(y) = 9*y + 11*y - 1 - 14*y + 3. Let z be m(0). Factor -4 + 10*g**z + 20*g**3 + 5*g**5 - 25*g - 40*g**4 + 20*g**4 + 14.
5*(g - 2)*(g - 1)**3*(g + 1)
Let n(a) be the second derivative of -2*a**6/15 - 48*a**5/5 - 159*a**4 + 2204*a**3/3 - 1152*a**2 + 3221*a. Suppose n(i) = 0. What is i?
-32, -18, 1
Suppose -32 = r + 58. Let i be (r/35 - -2)*14/(-4). Factor -42 + 3*z + z**2 - 2*z**i - 22 - 19*z.
-(z + 8)**2
Let g(b) = -2*b**2 + 36*b - 9. Let z be g(18). Let v be ((-32)/24)/(((-12)/z)/(-2)). Factor -v*h + 26/11*h**2 - 4/11.
2*(h - 1)*(13*h + 2)/11
Let b be (0/1 + 6/(-12))*-32. Suppose -9*c + c + b = 0. Factor -15*t**4 + 2*t**c - 8*t + 19*t**4 + t**5 + 8*t**3 - t + 4 - 10*t**4.
(t - 4)*(t - 1)**3*(t + 1)
Suppose 2*z + 3*m = 22, 2*z = -5*m + 34 - 4. Factor 73*k**2 - 25*k**4 + 181*k**2 + 2*k**z - 32*k**2 - 40*k**3 + 18*k**2 + 3*k**5.
5*k**2*(k - 4)**2*(k + 3)
Suppose -k + 1 = -5*v, -33*k - 1 = v - 34*k. Let w(c) be the first derivative of 1/4*c**6 + v*c + 9/8*c**4 + 5 - 9/10*c**5 - 1/2*c**3 + 0*c**2. Factor w(i).
3*i**2*(i - 1)**3/2
Let p(z) = 1180*z**2 + 27260*z - 27290. Let t(k) = -41*k**2 - 940*k + 941. Let w(h) = 4*p(h) + 115*t(h). Factor w(r).
5*(r - 1)*(r + 189)
Let k(y) be the second derivative of -y**4/3 - 2*y**3/3 + 24*y**2 + y + 157. Factor k(n).
-4*(n - 3)*(n + 4)
Let i(f) = 30*f - 80. Let p be i(7). Suppose -25*s**4 - 70*s - p*s**3 - 83*s**3 - 51*s**2 + 286*s**2 + 73*s**3 = 0. Calculate s.
-7, 0, 2/5, 1
Factor -80*t**3 - 5*t**4 + 463050*t + 6769*t**2 - 26*t**3 + 3565485 + 10871*t**2 + 176*t**3.
-5*(t - 77)*(t + 21)**3
Let g(p) be the second derivative of 1/24*p**4 - 7/6*p**3 + 10*p**2 - 14 + p. What is l in g(l) = 0?
4, 10
Factor 10/3*u**2 + 44/3*u - 1/9*u**3 + 136/9.
-(u - 34)*(u + 2)**2/9
Factor -152/13*r - 1320/13 - 2/13*r**2.
-2*(r + 10)*(r + 66)/13
Factor 396495*y + 73542297 + 3*y**3 + 370881*y + 1148967 + 2628*y**2.
3*(y + 292)**3
Let p(w) be the second derivative of w**4/84 - 787*w**3/21 + 619369*w**2/14 - 3865*w. Determine y so that p(y) = 0.
787
Let h = 1/133 + 1181/2128. Let d(x) be the first derivative of 3/40*x**5 - 3/4*x - h*x**2 + 6 + 9/32*x**4 + 1/8*x**3. Determine u, given that d(u) = 0.
-2, -1, 1
Let k(b) = -2*b**3 + 5*b**2 - b - 7. Let g(q) = 36*q**3 + 2160*q**2 - 4488*q + 2392. Let c(n) = -g(n) - 20*k(n). What is d in c(d) = 0?
1, 563
Suppose o + 41 = -5*v, -2*v - 1 = -5. Let l be o*2/42 - -5. Factor 0 - l*c**2 - 8/7*c - 12/7*c**3 - 2/7*c**4.
-2*c*(c + 1)**2*(c + 4)/7
Let j(s) = s**3 - 2*s**2 - 4*s. Let t(f) = -10*f**3 + 6*f**2 + 21*f - 2. Let d(r) = -21*j(r) - 3*t(r). Find v such that d(v) = 0.
-1, -2/3
Let h = -521859/35 - -74552/5. Factor 5/7*d + 6/7 + h*d**4 - 5/7*d**3 - d**2.
(d - 6)*(d - 1)*(d + 1)**2/7
Let d(r) = -3*r**4 + 30*r**3 + 153*r**2 - 21*r. Let m(h) = -18*h**4 + 179*h**3 + 919*h**2 - 119*h. Let x(u) = -17*d(u) + 3*m(u). Factor x(n).
-3*n**2*(n - 13)*(n + 4)
Suppose -13*v = -16*v + 18. Let l be (-12)/v*(-1 - (-2)/(-4)). Suppose -30*f**3 + 1 - l*f**5 + 15*f**4 - 15*f + 2 + 5*f**2 + 25*f**2 = 0. What is f?
1
Factor 147/4 - 1/4*n**3 + 145/4*n**2 + 293/4*n.
-(n - 147)*(n + 1)**2/4
Let v = 2201 + -3266. Let x = 7456/7 + v. Suppose -4/7*t + 0 - x*t**3 + 4/7*t**2 = 0. What is t?
0, 2
Let w(b) be the second derivative of 5*b**3/6 - 90*b**2 - 112*b. Let s be w(36). Let 2/3*x**5 + 0*x**2 - 2/3*x**4 - 4/3*x**3 + 0 + s*x = 0. Calculate x.
-1, 0, 2
Let s = -859 - -867. Suppose s*a + 34 = 25*a. Find v, given that -12/5*v + 0 - 2/5*v**a + 2/5*v**3 = 0.
-2, 0, 3
Factor -3*f**2 + 5*f**2 - 1100*f - 1307*f + 64*f + 523*f.
2*f*(f - 910)
Let s(x) be the first derivative of -6*x**5/5 - 31*x**4/2 - 166*x**3/3 - 5*x**2 + 100*x + 2360. Determine f so that s(f) = 0.
-5, -1, 2/3
Factor -49*l**3 + 745*l**2 - 2125 - 933*l - 779 - 441*l - 47*