h(z) = 0.
-2, -1, 2/5
Find p, given that -4/3*p**4 + 4*p**3 + 12*p**2 + 20/3*p + 0 = 0.
-1, 0, 5
Let c be (-60)/12*(2 - 106/50). Let q(m) be the first derivative of c*m**5 - 3*m**3 - 6*m - 15/2*m**2 + 2 + 3/4*m**4. Determine t, given that q(t) = 0.
-1, 2
Let p = 85 - 82. Let 6*v**p - 3*v**2 + 1100 - 1100 - 3*v**4 = 0. What is v?
0, 1
Let c(d) be the second derivative of 0 + 11/20*d**4 - 6/5*d**3 - 3/100*d**5 - 39*d - 3/50*d**6 + 1/70*d**7 + 6/5*d**2. Find l, given that c(l) = 0.
-2, 1, 2
Suppose 0 = b + 6*f - 5*f - 2, 5*b - 2*f + 4 = 0. Let x = 38 - 38. Factor 0*l**2 + 0*l + b + x*l**3 - 2/3*l**4 - 5/3*l**5.
-l**4*(5*l + 2)/3
Let o(i) be the third derivative of -i**8/560 - 19*i**7/350 - 18*i**6/25 - 136*i**5/25 - 128*i**4/5 - 384*i**3/5 - 25*i**2 - 5. Factor o(q).
-3*(q + 3)*(q + 4)**4/5
Let p(o) be the third derivative of 0*o**3 - 13/270*o**5 + 0 - 11/540*o**6 - 1/54*o**4 + 0*o - 2*o**2. Factor p(y).
-2*y*(y + 1)*(11*y + 2)/9
Let d(n) be the second derivative of -5*n**4/18 + 38*n**3/9 + 16*n**2/3 + n - 217. Factor d(v).
-2*(v - 8)*(5*v + 2)/3
Let m be (-48)/15*(-25)/10. Let j(a) = a**3 - 6*a**2 - 14*a - 11. Let l be j(m). Factor -8/3*i - 1/3*i**l - 1/3*i**4 + 1/3*i**2 + 4/3 + 5/3*i**3.
-(i - 1)**3*(i + 2)**2/3
Factor 6*d**3 + 10 + 12*d - 333*d**4 - 8*d**2 - 338*d**4 - 18*d**3 + 669*d**4.
-2*(d - 1)*(d + 1)**2*(d + 5)
Factor 10 + 1568/5*o**2 + 112*o.
2*(28*o + 5)**2/5
Let u = 7085/4 + -1761. Let m = u + -10. Let 1/4*b**2 + 0*b - m = 0. Calculate b.
-1, 1
Let x(b) be the first derivative of 7*b**4/26 - 10*b**3/39 - 44*b**2/13 - 24*b/13 - 223. Let x(i) = 0. What is i?
-2, -2/7, 3
Let l(x) = 19*x**3 - 181*x**2 + 334*x - 96. Let t(c) = -9*c**3 + 90*c**2 - 168*c + 48. Let v(i) = -6*l(i) - 11*t(i). Factor v(h).
-3*(h - 4)*(h - 2)*(5*h - 2)
Suppose 16 = -4*p - u, 7*p - 2*u + 16 = 3*p. Let l be p/(160/6)*12/(-3). Let l + 6/5*f + 3/5*f**2 = 0. Calculate f.
-1
Factor 5*c**2 + 198*c + 72*c + 3460 + 185.
5*(c + 27)**2
Suppose -31*h**2 + 6*h**3 + 6 - 21 + 12 - 24*h + 39*h**4 - 5*h**2 + 18*h**5 + 0*h**5 = 0. What is h?
-1, -1/6, 1
Let d be (-6)/480*(-4)/5. Let x = d - -6/25. Let 1/4*b**2 + x*b + 0 = 0. What is b?
-1, 0
Let o be (11/33)/((-2)/(-12)). Factor -12*p**2 - 3*p**o - 5*p**2 - 8*p.
-4*p*(5*p + 2)
Let k(v) be the third derivative of 0*v + 14/3*v**4 + 0 - 74/105*v**7 - 67/15*v**5 - 8/3*v**3 + 1/12*v**8 + 73/30*v**6 + 31*v**2. Factor k(l).
4*(l - 2)*(l - 1)**3*(7*l - 2)
Let a(n) = 2*n**4 - 35*n**3 + 153*n**2 - 335*n + 200. Let h(q) = -q**4 + 18*q**3 - 76*q**2 + 168*q - 100. Let i(l) = 3*a(l) + 5*h(l). Let i(k) = 0. Calculate k.
1, 4, 5
Determine j so that -62*j + 6*j - 12275*j**3 + 12257*j**3 + 74*j**2 = 0.
0, 1, 28/9
Let w(f) be the third derivative of f**7/2625 - 2*f**6/375 + f**5/375 + 4*f**4/15 - f**3 - 155*f**2 + 1. Solve w(m) = 0.
-3, 1, 5
Let p(l) be the first derivative of -7*l**6/40 - 3*l**5/5 - 11*l**4/16 - l**3/4 - l + 6. Let d(m) be the first derivative of p(m). Find n, given that d(n) = 0.
-1, -2/7, 0
Let y be 1 - ((-22)/(-60) - 2/10). Suppose -y*f**4 + 0*f + 0 - 2/3*f**2 + 1/6*f**5 + 4/3*f**3 = 0. Calculate f.
0, 1, 2
What is h in -130/3 + 45*h - 5/3*h**2 = 0?
1, 26
Let l = -2/36337 - -72684/181685. Find j such that -l*j**2 + 0 + 8/5*j = 0.
0, 4
Let w(a) be the third derivative of -a**8/560 - a**7/35 - 3*a**6/40 + a**5/10 + 2*a**4/5 - a**2 + 50*a. Find h, given that w(h) = 0.
-8, -2, -1, 0, 1
Let d = -4049/105 + 835/21. Factor d*z**2 + 0*z**3 - 4/5*z + 0 - 2/5*z**4.
-2*z*(z - 1)**2*(z + 2)/5
Let p(o) be the second derivative of 0 + 0*o**2 + 5/12*o**4 - 5/3*o**3 - 17*o. Factor p(s).
5*s*(s - 2)
Suppose 4*o - y - 4*y - 7 = 0, 0 = -2*y + 2. Let a = -52 - -84. Solve -a*x**3 - x**2 - x + 15*x**3 + 18*x**o + 1 = 0 for x.
-1, 1
Let j be (-5)/6*(-39)/130. Let p(c) be the third derivative of 1/10*c**5 + j*c**4 + 1/3*c**3 + 0*c + 1/60*c**6 + 0 + 2*c**2. Factor p(h).
2*(h + 1)**3
Factor -60 - 29/2*s - 1/2*s**2.
-(s + 5)*(s + 24)/2
Find j, given that 4*j**3 + 34172 - 3*j**2 - 34148 - 4*j - 21*j**2 = 0.
-1, 1, 6
Let z(x) be the first derivative of x**3/4 - 57*x**2 + 4332*x - 89. Factor z(s).
3*(s - 76)**2/4
Factor 18*u - 162 - 1/2*u**2.
-(u - 18)**2/2
Factor 5/3*m - 4/3*m**2 + 3.
-(m + 1)*(4*m - 9)/3
Let m(u) be the first derivative of 0*u + 0*u**3 - 2 - 3/2*u**2 - 1/8*u**4 + 1/20*u**5. Let w(t) be the second derivative of m(t). Factor w(l).
3*l*(l - 1)
Let d(h) be the first derivative of -h**4 - 16*h**3/3 + 24*h**2 + 36. Solve d(p) = 0 for p.
-6, 0, 2
Let f(s) be the first derivative of -s**5/35 - s**4/7 + 2*s**3/7 + 2*s**2/7 - 5*s/7 - 24. Determine m so that f(m) = 0.
-5, -1, 1
Determine r so that -117/7*r**2 - 6 - 123/7*r + 3/7*r**4 - 33/7*r**3 = 0.
-1, 14
Let h(g) = -8*g**4 + 10*g**3 - 8*g**2 + 6*g. Let t(u) = -23*u**4 + 29*u**3 - 23*u**2 + 17*u. Suppose -9 = i + 8. Let a(r) = i*h(r) + 6*t(r). Factor a(f).
-2*f**2*(f - 1)**2
Let m(y) be the third derivative of 9*y**6/8 + 241*y**5/12 - 60*y**4 + 50*y**3/3 + 6*y**2 - 2. Factor m(h).
5*(h - 1)*(h + 10)*(27*h - 2)
Let g(n) be the first derivative of -n**6/30 - n**5/3 - 2*n**4/3 - 2*n**2 - 18. Let j(h) be the second derivative of g(h). What is a in j(a) = 0?
-4, -1, 0
Let h be (-48)/(-84)*-1*(-21)/3 - 1. Find g, given that -1/3*g**4 - 1/3 + 2/3*g**2 + 0*g + 0*g**h = 0.
-1, 1
Suppose 3*p + 4*z - 12 = 0, 0*p + z - 3 = -4*p. Factor -7*a + p - 3 - 15*a**2 + 12*a**2 - 3*a.
-(a + 3)*(3*a + 1)
Let c(l) be the second derivative of 3*l**7/14 - 6*l**6/5 + 12*l**5/5 - 41*l**4/18 + 7*l**3/6 - l**2/3 - 9*l + 2. Factor c(b).
(b - 2)*(b - 1)*(3*b - 1)**3/3
Let o(s) = -5*s**4 - 16*s**3 - 32*s**2 - 22*s. Let c(g) = 16*g**4 + 47*g**3 + 94*g**2 + 65*g. Let f(r) = 2*c(r) + 7*o(r). Suppose f(b) = 0. What is b?
-2, 0
Let o(u) be the first derivative of 12*u - 1/3*u**3 + 54 - 1/2*u**2. Find v, given that o(v) = 0.
-4, 3
Let a(z) = 4 - 4 + 50*z**2 - 42*z**2 + 16*z. Let j(b) = 15*b**2 + 32*b. Let y(x) = 11*a(x) - 6*j(x). What is k in y(k) = 0?
-8, 0
Factor -78*t**2 - 176*t - 38 - 53 + 9*t**3 + 0*t**3 + t**4 + 0*t**3 - t**3.
(t - 7)*(t + 1)**2*(t + 13)
Suppose 6*v = 319 - 295. Let a(n) be the second derivative of -2*n - 1/168*n**7 + 0 + 0*n**5 + 0*n**2 - 1/24*n**v + 1/24*n**3 + 1/60*n**6. Solve a(m) = 0.
-1, 0, 1
Let b(q) be the first derivative of -1/2*q + 1/12*q**2 + 1/6*q**3 - 1/24*q**4 - 25. Find m such that b(m) = 0.
-1, 1, 3
Suppose -2*p + 3 = 1. Let z be -2*p/4*-6. Let -16/3*m**z + 98/9*m**5 - 14/3*m**4 + 0*m - 8/9*m**2 + 0 = 0. Calculate m.
-2/7, 0, 1
Let o(r) be the second derivative of r**4/42 - 32*r**3/21 + 256*r**2/7 - 41*r. Determine u so that o(u) = 0.
16
Suppose 0 = 5*u + 5*y - 0*y, -2*u + 4*y = -24. Factor -35*n**u - 21*n**3 - 9*n**3 - 15*n**3 - 10*n**2.
-5*n**2*(n + 1)*(7*n + 2)
Let c = 658 - 658. Let d(t) be the third derivative of -1/140*t**5 - 5*t**2 + 3/14*t**3 + c - 1/28*t**4 + 0*t. Factor d(m).
-3*(m - 1)*(m + 3)/7
Let o(t) = 1. Let z(i) = i**2 + 15. Let d(b) = o(b) + z(b). Let n be d(0). Solve -7*j**4 - n*j**5 - 22*j**5 + 12*j**2 + 35*j**5 + 6*j**3 - 8*j = 0.
-2, 0, 2/3, 1
Let x(p) = -9*p - 65. Let b be x(-9). Determine n, given that 16*n**4 - b*n - 5*n**3 - 20*n**4 + 17*n**3 = 0.
-1, 0, 2
Suppose 0 = 5*s + 2*l - 810, 2*l + 162 = s + 3*l. Let a = s - 107. Determine j so that -5*j**3 + 10*j**4 - a + 55 - 5*j**5 = 0.
0, 1
Let s(g) be the first derivative of 0*g - 5 + 1/10*g**4 + 0*g**3 - 1/5*g**2. Factor s(z).
2*z*(z - 1)*(z + 1)/5
Let r(c) be the first derivative of -2*c**7/21 + 7*c**6/30 - c**5/10 - c**4/12 - 9*c + 8. Let s(n) be the first derivative of r(n). Factor s(o).
-o**2*(o - 1)**2*(4*o + 1)
Let a(h) be the second derivative of 0*h**3 + 0 - 16*h - 1/12*h**4 + 1/30*h**6 + 1/20*h**5 - 1/42*h**7 + 0*h**2. Factor a(k).
-k**2*(k - 1)**2*(k + 1)
Let f(p) = -3*p**2 + 95*p + 314. Let l be f(-3). Factor 1/2*i + 1/4*i**5 - 3/4*i**3 - 1/4*i**l + 0 + 1/4*i**4.
i*(i - 1)**2*(i + 1)*(i + 2)/4
Let l(h) = -30*h**2 - 60*h - 4. Let k(m) = -91*m**2 - 181*m - 9. Let i(z) = 4*k(z) - 11*l(z). What is j in i(j) = 0?
-2, 2/17
Let l(q) be the first derivative of -1/2*q**3 - 10 + 0*q + 3/4*q**2 - 3/8*q**4 + 3/10*q**5. Solve l(h) = 0.
-1, 0, 1
Let u(m) be the third derivative of -m**6/90 + m**5/10 + 2*m**4/3 + 14*m**3/3 - 43*m**2. Let w(p) be the first derivative of u(p). Factor w(o).
-4*(o - 4)*(o + 1)
Let z be 3*(4 +