 g, given that p(g) = 0.
-3, -2, 0, 5
Suppose -13*j + 25*j = 24. Suppose -6*l = -j*l - 8. Factor 6/13*p**3 + 0*p - 2/13*p**l + 0 - 4/13*p**4.
-2*p**2*(p - 1)*(2*p - 1)/13
Let f(l) be the first derivative of -32/5*l**2 - 3 - 1/5*l**4 + 0*l - 32/15*l**3. Factor f(b).
-4*b*(b + 4)**2/5
Let p(x) be the third derivative of x**7/42 - 5*x**6/12 - x**5/3 + 385*x**4/12 + 245*x**3/2 - 8*x**2 + 26*x. Find z, given that p(z) = 0.
-3, -1, 7
Let l(i) be the first derivative of -4*i**5/5 + 12*i**4 - 24*i**3 - 280*i**2 + 588*i + 88. Solve l(x) = 0.
-3, 1, 7
Let d(v) be the second derivative of 15*v - 7/102*v**4 + 0 + 2/17*v**2 - 5/51*v**3. Factor d(y).
-2*(y + 1)*(7*y - 2)/17
Suppose 786 = 3*h - 255. Let h*s**4 - 4*s**3 - 4*s**2 + 0*s**2 - 339*s**4 = 0. What is s?
-1/2, 0, 1
Let z = -9 + 13. Let g be 18/12*z/3. Factor -2 + 0*h**4 + 4*h**2 - g*h**4 + 0.
-2*(h - 1)**2*(h + 1)**2
Suppose 4*y - 40 = 4*n, -2*n - 3*n = 25. Let s = -9730 - -48654/5. Solve -4/5*r + 0 + 8/5*r**4 - 8/5*r**2 + 0*r**3 + s*r**y = 0.
-1, 0, 1
Let d = -284 + 288. Let p(w) be the first derivative of 0*w**3 + 3/7*w + 3/14*w**d - 3/7*w**2 - 4 - 3/35*w**5. Factor p(u).
-3*(u - 1)**3*(u + 1)/7
Let 3/5 - 3/5*v**4 - 6/5*v + 0*v**2 + 6/5*v**3 = 0. What is v?
-1, 1
Let f(b) be the first derivative of b**6/42 - 9*b**5/35 + 5*b**4/7 - 4*b**3/7 + 456. Solve f(y) = 0 for y.
0, 1, 2, 6
Let o(p) = p**3 + 12*p**2 + 20*p + 7. Let f be o(-10). Let u be 70/20*1/f. Factor 0*j - 1/2*j**2 + 1/2*j**5 + u*j**4 + 0 - 1/2*j**3.
j**2*(j - 1)*(j + 1)**2/2
Determine n so that 2/9*n**3 - 16/9*n**2 - 20/9 + 34/9*n = 0.
1, 2, 5
Let 0 - 11*p - 7/4*p**3 + 10*p**2 - 1/4*p**4 = 0. Calculate p.
-11, 0, 2
Determine l so that -351*l + l**2 + 364*l - l**4 - 13*l**3 + 0*l**2 = 0.
-13, -1, 0, 1
Suppose -7*l + 13 = 6. Let m be l/14*(12 - 4). Factor 0*n + 8/7*n**2 + 0 + m*n**3.
4*n**2*(n + 2)/7
Suppose 7*v = -6*v + 3*v. Let s(l) be the second derivative of 0*l**3 + 3/28*l**4 + 3/140*l**5 + v + l - 6/7*l**2. Find b, given that s(b) = 0.
-2, 1
Suppose -3*y + 9 = -0*y. Factor 6*w**3 - y*w + w**3 - 4*w**3 + 0*w.
3*w*(w - 1)*(w + 1)
Let a(y) be the first derivative of 0*y**3 + 0*y**5 - 1/120*y**6 - 3 - 1/8*y**2 + 1/24*y**4 - 3*y. Let i(z) be the first derivative of a(z). Factor i(m).
-(m - 1)**2*(m + 1)**2/4
Factor -8/3*a**3 + 2/3*a**4 - 4/3*a**2 + 8*a + 6.
2*(a - 3)**2*(a + 1)**2/3
Let s(i) be the first derivative of -i**7/140 - i**6/16 - i**5/10 + 3*i**4/16 - 6*i**3 + 13. Let t(l) be the third derivative of s(l). Factor t(w).
-3*(w + 1)*(w + 3)*(4*w - 1)/2
Let u(g) be the second derivative of g**6/15 - 17*g**4/6 + 12*g**3 - 20*g**2 - 71*g. Let u(t) = 0. Calculate t.
-5, 1, 2
Factor 11*p**4 + 16/3 + 7/3*p**5 - 157/3*p**3 + 203/3*p**2 - 34*p.
(p - 1)**3*(p + 8)*(7*p - 2)/3
Let -2 - 6*s**2 + 20 + 22 + 15*s - 133*s = 0. Calculate s.
-20, 1/3
Let v(a) be the second derivative of -a**7/231 - 43*a**6/165 - 439*a**5/110 + 527*a**4/66 + 40*a**3/3 - 44*a**2 - 3*a - 22. Solve v(x) = 0.
-22, -1, 1
Let r(a) = -5*a**2 - 520*a - 6760. Let b(p) = -2*p**2 - 260*p - 3380. Let j(x) = 5*b(x) - 3*r(x). Let j(s) = 0. What is s?
-26
Let i(s) be the third derivative of -s**8/672 + 13*s**7/2100 + 7*s**6/400 - 49*s**5/600 + s**4/30 + s**3/5 + s**2 - 95*s. Find o such that i(o) = 0.
-2, -2/5, 1, 3
Let l(i) be the second derivative of i**8/13440 + i**7/5040 + 11*i**4/12 + 9*i. Let w(y) be the third derivative of l(y). What is b in w(b) = 0?
-1, 0
Let n be -3*1220/(-300) + 11. Let n*m - 14/5*m**2 - 32/5 = 0. Calculate m.
2/7, 8
Let v(d) be the first derivative of -d**3/4 + 18*d**2 - 432*d - 22. Find r, given that v(r) = 0.
24
Suppose f + 0*f - 2 = 2*k, -5*f - k = -10. Factor 74*b**f + 16 + 305*b**3 - 319*b**3 + 17*b - 93*b.
-2*(b - 4)*(b - 1)*(7*b - 2)
Factor -17*t**4 + 44238308 + 5*t**4 - 80688*t**2 + 656*t**3 + 4410944*t - 14*t**4 + 24*t**4 - 134662660.
-2*(t - 82)**4
Factor -1/5*u - 1/10*u**2 + 1/10*u**3 + 0.
u*(u - 2)*(u + 1)/10
Let i = 228 + 175. Factor -z + i*z**2 + 19*z - 400*z**2 + 27.
3*(z + 3)**2
Let f(b) be the second derivative of -21*b + 1/40*b**5 + 0 + 1/24*b**4 - 1/12*b**3 - 1/4*b**2. Let f(l) = 0. Calculate l.
-1, 1
Factor 4/3*l**3 - 2/3*l**5 - 2/3*l + 2/3*l**4 + 2/3 - 4/3*l**2.
-2*(l - 1)**3*(l + 1)**2/3
Let i be (-936)/(-2106) + (-42)/(-27). Factor -2/7*c**i + 2/7 + 0*c.
-2*(c - 1)*(c + 1)/7
Suppose 3*v - 30 = -0*v. Suppose 5 = -5*c + v. Let l(w) = 4*w**2 - 4*w + 4. Let x(u) = -u**2. Let r(n) = c*l(n) + 3*x(n). Factor r(q).
(q - 2)**2
Suppose 43*l + 363 - 492 = 0. Determine f so that -6/7 - l*f + 12/7*f**2 = 0.
-1/4, 2
Let a(b) = 4*b. Let u be a(5). Factor 45*h**4 - u*h - 5 + 47*h**3 + 13*h**3 + 10 - 10*h**2.
5*(h + 1)**2*(3*h - 1)**2
Let t be ((-44)/(-10) - 2) + 9/15. Let m(x) be the first derivative of 3 + 6*x + 1/2*x**4 - x**2 - 2*x**t. Suppose m(o) = 0. What is o?
-1, 1, 3
Let k(p) = p**2 - 133*p - 6. Let r(u) = 2*u**2 - 265*u - 11. Let n(f) = -11*k(f) + 6*r(f). Solve n(a) = 0.
0, 127
Let f(g) = g**2 + 13*g - 65. Suppose v + 6 = 3*v, 0 = 2*j + 4*v + 22. Let z be f(j). Suppose 0*t + 2/7*t**z + 2/7*t**2 + 0 = 0. What is t?
-1, 0
Let y(p) = -2*p**3 - 2*p**2 - 4*p. Suppose 6*l - 5*l + 2 = 0. Let x(t) = -4*t**3 - 3*t**2 - 9*t. Let g(i) = l*x(i) + 5*y(i). Factor g(k).
-2*k*(k + 1)**2
Let v(o) = -4*o**2 - 41*o - 55. Let x(y) = 195 - y**2 - 209 - 6*y - 4*y. Let i(j) = 2*v(j) - 9*x(j). Factor i(w).
(w + 4)**2
Let l(u) = u**3 + 2*u**2 - 3*u - 4. Let a be l(-2). Let 2 - 19*p**a - 4 - p + 20*p**2 = 0. Calculate p.
-1, 2
Suppose 686*m**2 - 7*m**3 - 201*m**2 + 5*m**4 - 34*m**3 - 89*m**3 + 360*m**2 = 0. Calculate m.
0, 13
Let v(m) be the third derivative of 0 + 0*m + m**2 + 13/40*m**6 - 4*m**3 - 3/2*m**5 - 1/35*m**7 + 7/2*m**4. Factor v(b).
-3*(b - 2)**3*(2*b - 1)
Let w(l) = 2*l**2 - 12*l + 2. Let o be w(6). Suppose -51 + 3*g + g - o*g**2 + 40 + 27 = 0. What is g?
-2, 4
Let t(l) be the third derivative of l**5/5 - 3*l**4/8 - l**2 - 18. Suppose t(w) = 0. What is w?
0, 3/4
Factor -250/13 - 2/13*p**2 - 252/13*p.
-2*(p + 1)*(p + 125)/13
Let u(k) = k**3 + 28*k**2 - 27*k + 60. Let o be u(-29). Let c be (3 - o)/(-7 + 105/14). Factor 2/11*q**c + 0*q - 8/11.
2*(q - 2)*(q + 2)/11
Let a**4 + 30*a**3 + 3730*a**2 - 3702*a**2 + a**4 = 0. Calculate a.
-14, -1, 0
Let a = 12 + -8. Suppose 0*x - 16 = -3*x + n, -28 = -a*x + 3*n. Factor 0*v**4 - 4*v**3 + 1 - v**4 + 2*v**4 - x*v + 0*v**4 + 6*v**2.
(v - 1)**4
Let r(d) = -5*d**4 + 36*d**3 + 87*d**2 + 64*d. Let i(m) = -m**4 + 9*m**3 + 22*m**2 + 16*m. Let l(q) = -9*i(q) + 2*r(q). Factor l(x).
-x*(x + 1)*(x + 4)**2
Factor 14*f**2 - 360*f**4 - 9*f**2 + 355*f**4 - 15*f**3 + 15*f.
-5*f*(f - 1)*(f + 1)*(f + 3)
Let y be -1 + 3 - 6/(-3). Let z be 3/(0 + 6/4). Factor -3 + y*b**z + 3 + 0.
4*b**2
Find z, given that z**5 + 4331*z**4 - 5*z**3 - 4321*z**4 - 2*z**3 - 10*z**2 + 4*z**5 + 2*z**3 = 0.
-2, -1, 0, 1
Let i be (-8)/36 - 116/(-36). Solve 23*o**3 + 0*o**2 - 10*o**i - 10*o**3 - 6 - 3*o + 6*o**2 = 0 for o.
-2, -1, 1
Find r such that 5*r - 7*r**4 + 2*r**4 - 7*r**2 - 5*r**3 - 7*r**2 + 19*r**2 = 0.
-1, 0, 1
What is n in 115*n + 150*n**2 - 292*n**2 + 147*n**2 + 210 = 0?
-21, -2
Let b = -9997 + 3748877/375. Let p = 244/1125 + b. Factor -2/9*z**5 + 0*z + 2/9*z**4 + 2/9*z**3 + 0 - p*z**2.
-2*z**2*(z - 1)**2*(z + 1)/9
Let j(r) = r**3 + r**2 - 4*r - 2. Let h be j(-2). Determine a, given that 2*a - 22*a**2 - 2*a - 7*a**3 + a**4 + h*a**5 + 8 + 4*a**4 - 4*a = 0.
-2, -1, 1/2, 2
Let r(u) be the second derivative of u**5/25 - 7*u**4/40 - u**3/5 - 8*u**2 - 13*u. Let b(c) be the first derivative of r(c). Find k such that b(k) = 0.
-1/4, 2
Let q be ((-6)/1)/(-21 - -12). Factor 0*l**3 + 0 + q*l**2 + 1/3*l - 2/3*l**4 - 1/3*l**5.
-l*(l - 1)*(l + 1)**3/3
Suppose -2*i + 300 = 5*z - 0*i, -38 = -z + 4*i. Factor -z*p**2 + 27*p**3 + p**4 + 925*p - 196*p + 133*p**2 + 168*p**2.
p*(p + 9)**3
Let f(v) = -9*v**3 + 17*v**2 + 158*v + 319. Let b(u) = 11*u**3 - 16*u**2 - 159*u - 318. Let s(x) = 5*b(x) + 6*f(x). Factor s(t).
(t + 4)*(t + 9)**2
Let -4/3 - 2/9*m**2 - 14/9*m = 0. Calculate m.
-6, -1
Let l(p) = 1289*p**2 - 642*p**2 - p + 10 - p**3 - 639*p**2. Let y be l(8). Solve 1/3*h**3 + 3*h + 4/3 + y*h**2 = 0.
-4, -1
Let v(z) be the first derivative of z**4/12 + 2*z**3/3 + 4*z**2/3 - 111. Suppose v(m) = 0. Calculate m.
-4, -2, 0
Let o(u) be the first derivative of -2/9*u**