 y*a**2 + 0*a**3 + 0*a - 1/6*a**4 = 0. What is a?
-1, 0, 1
Let h(x) be the first derivative of x**5/5 + x**4 - 54. Factor h(o).
o**3*(o + 4)
Let s be 14/(-5 - (-12)/4). Let w be 1*((-2)/s)/1. Factor -2/7 + w*c**2 + 0*c.
2*(c - 1)*(c + 1)/7
Let q(m) be the third derivative of -m**5/390 - 19*m**4/78 - 361*m**3/39 + 20*m**2. What is n in q(n) = 0?
-19
Let m = -25 - -27. Factor 4*h + 0*h**2 + 2*h**m - 3*h**2 - 3*h.
-h*(h - 1)
Let u(s) = -102*s + 207. Let t be u(2). Let z(o) be the third derivative of 0*o + 0*o**t - 3*o**2 - 1/9*o**4 + 0 - 1/45*o**5. Factor z(r).
-4*r*(r + 2)/3
Let t(d) = -15*d**2 + 11*d + 17. Let j(a) be the first derivative of 7*a**3/3 - 5*a**2/2 - 8*a - 5. Let v(z) = 13*j(z) + 6*t(z). Factor v(w).
(w - 1)*(w + 2)
Find o, given that -8*o - 14/3*o**3 + 0 + 32/3*o**2 + 2/3*o**4 = 0.
0, 2, 3
Let z(i) be the second derivative of 1/20*i**5 + 0*i**2 - 2*i + 0 + 0*i**4 - 1/30*i**6 + 0*i**3. Factor z(f).
-f**3*(f - 1)
Let -31*r**3 - 22*r**5 + 49*r**5 - 49*r**3 - 23*r**5 - 14*r**5 - 165*r**4 = 0. Calculate r.
-16, -1/2, 0
Let h(i) be the third derivative of i**8/1344 - 3*i**7/280 + 13*i**6/240 - i**5/10 + 109*i**2. Let h(g) = 0. What is g?
0, 2, 3, 4
Let c(z) be the second derivative of 0 - 7/18*z**4 - 15*z - 4*z**2 + 16/9*z**3 + 1/30*z**5. Suppose c(p) = 0. Calculate p.
2, 3
Let c be -5*((-3204)/130 + 18/(-117)). Let m = c - 618/5. Factor m*w**4 + 4/5*w - 4/5*w**3 - 2/5*w**2 + 0.
2*w*(w - 2)*(w - 1)*(w + 1)/5
Let n = 37093/4 + -9273. Let n*c - 1/4*c**2 + 0 = 0. Calculate c.
0, 1
Suppose -5*v = -4*u - 24, 4*u = 2*v + u - 11. Let p(z) be the second derivative of -1/10*z**5 - 1/3*z**4 - 1/3*z**3 - v*z + 0*z**2 + 0. Solve p(k) = 0.
-1, 0
Let a(p) be the third derivative of p**7/280 + p**6/160 - 3*p**5/80 - p**4/32 + p**3/4 + 2*p**2 - 190. Factor a(c).
3*(c - 1)**2*(c + 1)*(c + 2)/4
Let b(v) be the first derivative of -23/35*v**5 + 3/7*v**2 + 42 + 39/14*v**4 - 43/21*v**3 + 0*v - 3/7*v**6. Solve b(a) = 0.
-3, 0, 2/9, 1/2, 1
Let v(y) be the second derivative of 16*y**5/15 - 152*y**4/3 + 50*y**3 - 56*y**2/3 + 2*y. Factor v(l).
4*(l - 28)*(4*l - 1)**2/3
Suppose 0 = -29*g + 32*g. Suppose 28*y - 22*y - 18 = g. Find k such that -4/7*k**y - 24/7*k**2 - 48/7*k - 32/7 = 0.
-2
Factor -3/4*o**2 - 2*o - 1.
-(o + 2)*(3*o + 2)/4
Let s(o) be the third derivative of -o**7/210 - 7*o**6/40 - 37*o**5/30 + 16*o**4 - 48*o**3 - 293*o**2. Suppose s(y) = 0. What is y?
-12, 1, 2
Let d(c) = 30*c**4 - 131*c**3 + 174*c**2 - 85*c + 12. Let j(z) = 15*z**4 - 66*z**3 + 87*z**2 - 42*z + 6. Let f(g) = 3*d(g) - 5*j(g). Factor f(o).
3*(o - 2)*(o - 1)**2*(5*o - 1)
Suppose -v - 2*n = -13, 16 = 5*v + 4*n - 37. Suppose -h + 3*h - 24 = 0. Suppose h*a**3 + 3*a**2 - 6*a**2 + a**2 - v*a**3 = 0. What is a?
0, 2/3
Suppose 35*o**4 + 39*o - 199*o + 730*o**2 - 1548*o**3 + 943*o**3 = 0. What is o?
0, 2/7, 1, 16
Let x be 2*-1*1/(-1). Let s be ((-84)/120)/(56/(-96)). Solve 9/5 + 1/5*u**x - s*u = 0 for u.
3
Factor 2*x**2 - 48*x + 40 + 95*x - 39*x + 0*x**2 - 50*x.
2*(x - 20)*(x - 1)
Suppose 0 = -2*r - 34 + 34. Let s be (3 + 0 - r)*(-37)/(-999). Determine z so that 1/9*z**2 - s*z + 0 = 0.
0, 1
Let 4/3*p**3 + 80 + 44/3*p**2 - 224/3*p = 0. What is p?
-15, 2
Let d(f) = -3*f**3 - f**2 + f + 1. Let z(a) = -5*a**4 + 115*a**3 - 490*a**2 + 1130*a - 730. Let v(o) = 10*d(o) + z(o). Let v(n) = 0. What is n?
1, 4, 6
Suppose 2*q = f + 13, f - 6*f - 25 = 0. Suppose -b - g = 1 - 9, -q*b + 5*g = -5. Let -2*u + b*u - u**2 - 1 - 2*u + u = 0. Calculate u.
1
Let i = -83 - -337/4. Let 0 - 5*b + 0*b**2 + i*b**3 = 0. Calculate b.
-2, 0, 2
Suppose -140*h**2 + 404*h**2 + 146*h - 128*h**2 + 8 - 100*h**2 = 0. Calculate h.
-4, -1/18
Let s(o) = -5*o**3 - 37*o**2 - 157*o - 122. Let m(u) = u**3 + u**2 - u - 2. Let f(b) = 6*m(b) + 2*s(b). Factor f(r).
-4*(r + 1)*(r + 8)**2
Determine v so that 0 + 4/7*v**3 - 4/7*v - 2/7*v**2 + 2/7*v**4 = 0.
-2, -1, 0, 1
Let s(d) be the first derivative of d**6/720 - d**5/120 + d**4/48 + 3*d**3 + 6. Let i(q) be the third derivative of s(q). Determine w so that i(w) = 0.
1
Suppose 45*i**3 + 55*i + 2*i**2 + 19*i**4 - 55*i + 19*i**2 - 4*i**3 - i**5 = 0. What is i?
-1, 0, 21
Let w = 1 + 0. Suppose f - 3 = w. Factor l**f - 3*l + 3*l**2 - 3*l**4 + 3*l**3 + 0*l**3 - l**4.
-3*l*(l - 1)**2*(l + 1)
Let 0 - 1/12*y + 1/12*y**2 = 0. Calculate y.
0, 1
Let i(d) be the third derivative of -d**8/120 + d**7/210 + 7*d**6/180 - d**5/30 + 7*d**3/6 + 11*d**2. Let t(v) be the first derivative of i(v). Factor t(p).
-2*p*(p - 1)*(p + 1)*(7*p - 2)
Let q(h) be the third derivative of h**8/1344 - 3*h**7/280 - 11*h**6/160 - 7*h**5/48 - h**4/8 - 134*h**2. Factor q(l).
l*(l - 12)*(l + 1)**3/4
Let t(d) be the second derivative of -4*d + 2/45*d**5 + 2/9*d**3 + 1/6*d**4 + 1/9*d**2 + 0. Solve t(a) = 0 for a.
-1, -1/4
Factor 36/11 + 6/11*i**2 + 30/11*i.
6*(i + 2)*(i + 3)/11
Let d(p) = 10*p**4 + 44*p**3 + 44*p**2 + 4*p + 3. Let q(o) = -9*o**4 - 44*o**3 - 45*o**2 - 6*o - 2. Let y(c) = 4*d(c) + 6*q(c). Find h, given that y(h) = 0.
-5, -1, -2/7, 0
Let p(t) be the third derivative of -3*t**2 + 0 + 0*t + 1/20*t**5 + 1/12*t**4 + 1/120*t**6 + 0*t**3. Solve p(f) = 0 for f.
-2, -1, 0
Suppose 2*c - 3*o = 3, -2*c + 7 = 2*o - 11. Let p = c + -1. Suppose -p - 8*d + 3*d**2 - 3 - 5*d**2 = 0. What is d?
-2
Let d(m) = m - 1. Let o(r) = -3*r - 9. Let g be o(-4). Let q be d(g). Suppose x**2 + 2*x + 2*x - 2*x**4 + 5*x**q - 8*x = 0. Calculate x.
-2, 0, 1
Let n be 70/14 - (9 + (0 - 6)). Let w(b) be the first derivative of -20*b - 2 - 5/3*b**3 - 10*b**n. Factor w(r).
-5*(r + 2)**2
Let b(i) be the first derivative of -2*i**3/15 - 4*i**2/5 + 230. Let b(w) = 0. Calculate w.
-4, 0
Let z be ((-9)/72*8)/(3/(-6)). Factor 0 + 3/2*x + 1/4*x**z.
x*(x + 6)/4
Let u be (((-45)/360)/(14/4))/(7/(-224)). Find d, given that 8/7*d**2 + 2/7*d + u*d**4 + 0 + 12/7*d**3 + 2/7*d**5 = 0.
-1, 0
Let d(f) be the second derivative of -2/15*f**3 + 1/30*f**4 + 16*f + 0 - 3/5*f**2. What is j in d(j) = 0?
-1, 3
Suppose -5*j = 5*a - 25, 3*j - 10 = -2*a - 0*a. Let m = -1204 + 1206. Suppose 1 - 7*i**m + 2*i**3 - 7/2*i**a + 6*i**4 + 3/2*i = 0. Calculate i.
-1, -2/7, 1
Let m be (-13)/(390/20)*(1355 + 0). Let r = m - -922. Determine w, given that -18*w**4 - r*w**5 + 62/3*w**3 - 4/3 - 2*w + 58/3*w**2 = 0.
-1, -1/4, 2/7, 1
Suppose -6*q = -q + 25, 3*q + 486 = b. Suppose b - 147 = 3*x. What is z in -x*z**2 + 12 - 4 + 10*z + 105*z**2 = 0?
-2/3, 4
Let d(f) be the second derivative of -f**5/90 + 7*f**4/27 + f**3/27 - 14*f**2/9 - 38*f. What is z in d(z) = 0?
-1, 1, 14
Suppose -m = -5, -d + 3*d - 5*m = -15. What is g in 5*g**2 + 0*g**4 - 3 + 2*g**4 + 5*g - d*g**4 - 5*g**3 + g**4 = 0?
-3, -1, 1/2, 1
Let h(w) be the second derivative of w**7/6720 + w**6/960 + 17*w**3/6 + 11*w. Let i(x) be the second derivative of h(x). Factor i(s).
s**2*(s + 3)/8
Suppose 216 + 15*t + 3*t**3 - 30*t**2 + 2*t**3 + t + 20*t - 2*t**3 = 0. Calculate t.
-2, 6
Let q(z) be the second derivative of -z**4/4 - 158*z**3 - 37446*z**2 - z - 19. Factor q(j).
-3*(j + 158)**2
Let i = -136 + 81. Let c = 59 + i. What is o in -1/3 + 1/3*o - 1/3*o**c - 2/3*o**3 + 1/3*o**5 + 2/3*o**2 = 0?
-1, 1
Let s = 121 + -96. Let q be (-80)/s + 1/((-2)/(-8)). Factor -6/5*w - 2/5 - q*w**2.
-2*(w + 1)*(2*w + 1)/5
Let j(q) = -q**3 + 4*q**2 - q + 2. Let l be j(2). Factor 16*w - 4*w**2 + 0*w**2 - 56*w - l + 28*w.
-4*(w + 1)*(w + 2)
Let f**2 + 6*f**2 + 36 + 15*f**2 - 4*f**3 + 6*f**2 + 68*f = 0. Calculate f.
-1, 9
Suppose -3/2 - s + 1/2*s**2 = 0. What is s?
-1, 3
Solve 10*c + 10 + 10 - 20 + c**2 + 21 = 0.
-7, -3
Let f = 1001 + -998. Factor 5/2*c + 0 - 15/4*c**2 + 5/4*c**f.
5*c*(c - 2)*(c - 1)/4
Let y be (-1 + 7)*(-690)/(-25). Let f = y + -165. Let -6/5*a + 0 - 3/5*a**5 + 3/5*a**2 + 9/5*a**3 - f*a**4 = 0. Calculate a.
-2, -1, 0, 1
Let d(s) = 9*s**3 + 9*s**2 - 10*s. Let w(z) = -z**3 - z**2 + 1. Let h(n) = -5*d(n) - 40*w(n). Factor h(o).
-5*(o - 2)*(o - 1)*(o + 4)
Let s(k) = -k**3 - 11*k**2 + 27*k - 13. Let b(j) = -2*j**3 - 10*j**2 + 29*j - 14. Let z(x) = -2*b(x) + 3*s(x). Let z(d) = 0. Calculate d.
1, 11
Determine l, given that 18*l**4 - l**4 + 8*l**3 + 4*l**2 + 34*l**2 + 28*l - 19*l**4 = 0.
-2, -1, 0, 7
Let s be (1 - (-1 + 2))*4/(-8). Let y(a) be the first derivative of 0*a**2 + s*a + 1/4*a**4 - 4 + 0*a**3 - 3/10*a**5. Find q, given that y(q) = 0.
0, 2/3
Supp