-17, -2/7, 1
Suppose -51*z**2 - 10*z**4 + 22*z - 22*z + 16*z**3 + 59*z**2 = 0. What is z?
-2/5, 0, 2
Let b(l) be the second derivative of l**6/15 + 6*l**5/5 + 19*l**4/3 + 4*l**3 - 63*l**2 + 203*l. Suppose b(r) = 0. Calculate r.
-7, -3, 1
Suppose 482*s - 515*s = -66. Solve 1 - 1/2*n - 1/2*n**s = 0 for n.
-2, 1
Let 10*v**2 - 65/2*v - 30 = 0. What is v?
-3/4, 4
Let k be (3 - 4 - 0)*(-3 + -8). Suppose 51 = k*c + 6*c. Let -2/3*m**5 - 2*m**4 - 4/3*m**c + 0 + 0*m**2 + 0*m = 0. What is m?
-2, -1, 0
Let i be ((-141 - -135) + 53/9)/(4/(-6)). Solve 0 + i*j**2 + 1/6*j**5 + 1/2*j**3 + 0*j + 1/2*j**4 = 0.
-1, 0
Factor 6/7*m**5 + 32/7 + 128/7*m**3 + 32/7*m - 46/7*m**4 - 144/7*m**2.
2*(m - 2)**4*(3*m + 1)/7
Let m be ((-1)/6*(-48)/(-80))/(8/(-180)). Factor -3/2*s - 3/4*s**2 + m.
-3*(s - 1)*(s + 3)/4
Let c(x) be the third derivative of -x**8/1680 + 2*x**7/175 - x**6/75 - 17*x**5/150 + 3*x**4/40 + 11*x**3/15 - 752*x**2. Suppose c(d) = 0. What is d?
-1, 1, 2, 11
Determine k so that 32/19 - 2/19*k**2 - 12/19*k = 0.
-8, 2
Suppose 4*v + 0*c + 4*c - 8 = 0, -c = 0. Let -15 - 6*p + 7 + 4 + 2*p**v + 8 = 0. What is p?
1, 2
Let c be 34/(-153) - (-3)/((-27)/(-380)). Factor -c*y - 24*y**2 - 12 - 14*y**3 + 15*y + 6*y**2 + 11*y**3.
-3*(y + 1)**2*(y + 4)
Let p = -16/5 - -18/5. Let j be (-68)/(-110) - ((-10)/(-55))/(-1). Factor -p*r**3 + 2/5*r + 4/5 - j*r**2.
-2*(r - 1)*(r + 1)*(r + 2)/5
Let r(w) be the first derivative of 0*w**3 + 1/120*w**5 + 0*w + 5/2*w**2 + 3 + 1/24*w**4. Let l(z) be the second derivative of r(z). Let l(d) = 0. Calculate d.
-2, 0
Factor -88*u**2 - 42 + 85*u**2 + 132 - 87*u.
-3*(u - 1)*(u + 30)
Factor 1/2*h**5 + 0 + 0*h - 9/2*h**3 + 0*h**2 - 4*h**4.
h**3*(h - 9)*(h + 1)/2
Let o(s) = 94*s**2 + 142*s + 48. Let i(d) = 2*d**2 - d + 1. Let w(l) = -2*i(l) - o(l). Factor w(t).
-2*(7*t + 5)**2
Let r(t) be the third derivative of t**8/1008 - 13*t**7/630 + 7*t**6/45 - 4*t**5/9 + t**2 - 12*t. Suppose r(j) = 0. Calculate j.
0, 4, 5
Let 1/2*x**4 - 11/2*x**2 + 12*x - 3*x**3 + 14 = 0. What is x?
-2, -1, 2, 7
Factor 1/4*b**2 + 27/2*b + 729/4.
(b + 27)**2/4
Solve -6/7*x**2 + 76/7 - 110/7*x = 0 for x.
-19, 2/3
Let h(l) be the third derivative of -l**5/15 - 7*l**4/2 - 76*l**3/3 + 3*l**2 + 8*l. Let h(q) = 0. Calculate q.
-19, -2
Let g(l) be the third derivative of l**5/15 + 104*l**4/3 + 21632*l**3/3 + 17*l**2 + 18*l. Determine k so that g(k) = 0.
-104
Suppose -5*q = -2*f - 3*f - 25, 2*q - 3*f = 9. Factor -2*c**3 + 10*c**2 - 17 + 6 - q*c - 7.
-2*(c - 3)**2*(c + 1)
Let x(f) be the third derivative of -f**8/112 - 2*f**7/35 - f**6/10 + f**5/10 + 5*f**4/8 + f**3 + 2*f**2 + 23. Solve x(k) = 0 for k.
-2, -1, 1
Let w = -12 - -15. Suppose 1 = -x - y, 4*x - w*y - y = 20. Factor -4*g**5 + 9*g**4 + 4*g**3 + 4*g**x - 8*g**4 - 5*g**4.
-4*g**2*(g - 1)*(g + 1)**2
Find z such that z**5 + 0 + 3/2*z**2 + 0*z - 23/4*z**3 - 5/4*z**4 = 0.
-2, 0, 1/4, 3
Let h(u) = -u**3 + u + 1. Let f(s) = -4*s**4 - 4*s**2 - 8*s - 8. Let z be (4 - 0 - -1) + 3. Let d(b) = z*h(b) + f(b). Factor d(t).
-4*t**2*(t + 1)**2
Let c(w) be the third derivative of -w**5/150 + 26*w**4/15 - 2704*w**3/15 + 2*w**2 - 168. Let c(o) = 0. Calculate o.
52
Factor 9*r**2 + 8*r - 4*r**4 - r**2 - 4*r**2 - 36*r**3 + 28*r**3.
-4*r*(r - 1)*(r + 1)*(r + 2)
Let j be (3 - (5 - 3)) + 4. Determine m so that 7*m**5 - 9*m**4 - 26*m**j + 16*m**5 - 9*m**3 - 3*m**2 = 0.
-1, 0
Let m(a) = -a**3 + 6*a**2 + 4*a + 2. Let z be m(5). Let g be (-52)/182 + 2*z/35. Solve 3/5*u**4 - 12/5*u + 3/5 + 18/5*u**2 - g*u**3 = 0.
1
Let v(y) = 4*y**3 + 363*y**2 + 10803*y + 108006. Let z(l) = 4*l**3 + 364*l**2 + 10804*l + 108008. Let u(c) = -4*v(c) + 3*z(c). Determine m, given that u(m) = 0.
-30
Let u(y) be the first derivative of 11*y**4/2 + 188*y**3/3 + 180*y**2 + 144*y - 421. Factor u(m).
2*(m + 2)*(m + 6)*(11*m + 6)
Let i = -983 - -985. Let 2/11*l + 0 - 10/11*l**3 + 6/11*l**4 + 2/11*l**i = 0. Calculate l.
-1/3, 0, 1
Let j(g) = 10*g**4 + 38*g**3 + 26*g**2 + 6*g - 8. Let z = 5 - 9. Let q(l) = 9*l**4 + 38*l**3 + 25*l**2 + 7*l - 9. Let w(s) = z*q(s) + 5*j(s). Solve w(t) = 0.
-1, 2/7
Let l(n) be the first derivative of 2*n**2 + n**2 - 7 - n**4 - 4*n**3 + 5*n**2. Let l(z) = 0. Calculate z.
-4, 0, 1
Let i be 2/((-2)/(-40)*-2). Let d = 22 + i. Factor -20 - 7*b + 9 - 53 - 4*b**d - 25*b.
-4*(b + 4)**2
Let u(g) be the second derivative of -g**5/70 - g**4/14 + g**3/21 + 3*g**2/7 + 24*g - 2. Suppose u(y) = 0. Calculate y.
-3, -1, 1
Let q(u) = 7*u**2 + 32*u - 5. Let v(f) = -5*f**2 - 31*f + 4. Let x(d) = -4*q(d) - 5*v(d). Factor x(j).
-3*j*(j - 9)
Let 10 + 2*r + 1895*r**3 - 1896*r**3 - r**2 - 10 = 0. Calculate r.
-2, 0, 1
Let j(r) be the first derivative of 2*r**6/3 - 4*r**5/5 - 2*r**4 - 211. Let j(n) = 0. What is n?
-1, 0, 2
Let c be (6 - 1771/294)/(4/(-14)). Let o(p) be the first derivative of 1/9*p**3 + 0*p + 2 + 0*p**2 + c*p**4. Factor o(z).
z**2*(z + 1)/3
Let a(s) be the first derivative of 2*s**7/35 + s**6/8 - 3*s**5/20 - 5*s**4/8 - s**3/2 + 7*s**2/2 + 4. Let d(w) be the second derivative of a(w). Factor d(u).
3*(u - 1)*(u + 1)**2*(4*u + 1)
Let l = 33 - 26. Let a be l/6 - ((-40)/12)/(-5). Factor 5/2*k**3 - a*k - k**4 + 1/2 - 3/2*k**2.
-(k - 1)**3*(2*k + 1)/2
Let j(u) be the second derivative of u**4/18 + 76*u**3/9 + 1444*u**2/3 + 2*u - 67. Suppose j(g) = 0. What is g?
-38
Factor 0 + 1/8*c**5 - 3/8*c**3 + 23/8*c**2 - 7/4*c - 7/8*c**4.
c*(c - 7)*(c - 1)**2*(c + 2)/8
Find b such that 11*b + 2*b**3 - 10*b - 20*b**2 + 23*b + 22*b - 28 = 0.
1, 2, 7
Let o = -7 + 287. Let j be 2/(-10) - (-376)/o. Determine b so that 0 - j*b**4 + 2/7*b**3 - 6/7*b**5 + 4/7*b**2 + 0*b = 0.
-1, 0, 2/3
Let n(y) = 7*y**5 + 16*y**4 + 22*y**3 + 16*y**2 + 3*y + 4. Let k(l) = 6*l**5 + 15*l**4 + 21*l**3 + 15*l**2 + 3*l + 3. Let d(o) = -4*k(o) + 3*n(o). Factor d(h).
-3*h*(h + 1)**4
Suppose 5*d - 2*k + 62 = 0, 0*k - 57 = 5*d + 3*k. Let u be 8/d*(-9)/2. Let f**2 + f**u + 3*f**2 + 2*f**2 - 4*f**2 = 0. Calculate f.
-2, 0
Factor -611*b**3 + 269*b**3 + 304*b**3 - 13*b**2 + 3*b**4.
b**2*(b - 13)*(3*b + 1)
Suppose -21*t = -25*t + 12. Factor 6 - 7 - 24*x**4 - 5 - 3*x - 12*x**t + 30*x**2 + 15*x**5.
3*(x - 1)**3*(x + 1)*(5*x + 2)
Determine r so that -65*r**2 + 11*r**3 - 160*r - 108 - 196 + 4*r**3 + 364 = 0.
-2, 1/3, 6
Factor 17 - 2*c**3 - 6*c**3 - 9*c - 24*c**2 - c**3 - 3 - 8.
-3*(c + 1)*(c + 2)*(3*c - 1)
Let w(p) be the second derivative of p**6/6 + p**5/4 - 5*p**4/4 - 5*p**3/6 + 5*p**2 - 111*p. Suppose w(a) = 0. Calculate a.
-2, -1, 1
Suppose -b - 2 = -3. Suppose 3 = s + b. Determine r, given that s*r**3 + 4 + 4 - 4 + 4*r - 6*r - 4*r**2 = 0.
-1, 1, 2
Let u be (94/282*(8 + -2))/((-1)/(-1)). Factor 5832/11*z - 2/11*z**4 - 13122/11 + 72/11*z**3 - 972/11*z**u.
-2*(z - 9)**4/11
Let q(d) be the third derivative of -22*d**2 - 9/560*d**7 - 1/4*d**3 + 0 + 3/32*d**6 + 0*d - 37/160*d**5 + 5/16*d**4. Factor q(x).
-3*(x - 1)**2*(3*x - 2)**2/8
Factor 16/3 - 6*r**2 + 10/3*r**3 - 4*r.
2*(r - 2)*(r + 1)*(5*r - 4)/3
Let z(n) be the second derivative of n**6/30 + 7*n**5/20 + n**4 - 2*n**3/3 - 8*n**2 + 113*n. Factor z(l).
(l - 1)*(l + 2)**2*(l + 4)
Let k(g) = 6*g**3 + g**2 - 9*g + 4. Let w(c) = 6*c**3 - 9*c + 3. Let z(s) = 3*k(s) - 4*w(s). Determine j so that z(j) = 0.
-1, 0, 3/2
Let s be 19/38 + (-9)/(-6). Determine f, given that 8/11*f + 0 + 2*f**5 - 4/11*f**4 - 6*f**3 - 32/11*f**s = 0.
-1, 0, 2/11, 2
Let t(d) be the second derivative of 2*d**6/75 - 19*d**5/100 + 23*d**4/60 - d**3/6 - 3*d**2/10 + 2*d + 1. Determine a so that t(a) = 0.
-1/4, 1, 3
Let y(a) be the first derivative of -4*a**3/15 - 8*a**2/5 + 128*a/5 + 338. Factor y(n).
-4*(n - 4)*(n + 8)/5
Let r be ((-3 - 1) + 0)*17/(-68)*4. Determine y, given that 0*y**r + 2/9*y**5 + 0*y**2 - 4/9*y**3 + 2/9*y + 0 = 0.
-1, 0, 1
Let k(j) be the first derivative of -j**7/280 + 3*j**6/160 + j**5/20 - 23*j**2/2 - 10. Let o(f) be the second derivative of k(f). Factor o(v).
-3*v**2*(v - 4)*(v + 1)/4
Suppose 14 - 42 = -7*c. Let u(q) be the third derivative of 6*q**2 - 1/39*q**c - 1/13*q**3 - 1/390*q**5 + 0*q + 0. Let u(n) = 0. What is n?
-3, -1
Find a, given that a**2 - 1 - 1/2*a**3 + 1/2*a = 0.
-1, 1, 2
Let i(f) be the second derivative of f**4/30 + 32*f**3 + 11520*f**2 + 10*f - 6. Factor i(q).
2*(q + 240)**2/5
Suppose 4*h - 32 = -12. Factor 4*i**5 + 0*i - 2*i + h*i**2 - 6*i**4 + i + i**4 - 3*i**3.