2*r**3 + 0 + 0*r + 6*r**2 - 1/20*r**5 + 1/2*r**4. Factor m(p).
-3*(p - 2)**2
Suppose -1/2 - 9/4*h - 7/4*h**2 = 0. What is h?
-1, -2/7
Let z(v) = v**2 - 17. Let p be z(0). Let k = p + 19. Factor 1/2*w - 1 + 1/2*w**k.
(w - 1)*(w + 2)/2
Suppose -4*m + 2*v + 0*v = -10, m - 19 = -5*v. Find h such that -h**5 + 7*h + 2*h**m + 2*h**3 - h**3 - 2 + h**3 + 0 - 8*h**2 = 0.
-2, 1
Let c be (0 + (-3)/4)/(-3). Solve 0*t**2 + 1/4*t**4 + 0 - c*t**3 + 0*t = 0 for t.
0, 1
Let b be (-1 - (-9 + 1)) + -4. Let m = 5 - b. Suppose 2/9*w**5 - 8/9*w**3 + 0*w**4 - 4/9*w**m + 4/9 + 2/3*w = 0. What is w?
-1, 1, 2
Factor -38*v**2 - 19*v**3 - 5*v**4 + 163*v**2 + 69*v**3 + 10*v**4.
5*v**2*(v + 5)**2
Let f be (3 - 4)*-5*1. Suppose 3 = -2*b + f. Factor b - 1/2*m - 1/2*m**2.
-(m - 1)*(m + 2)/2
Let o(s) = -s. Let t be o(0). Let q be -1 - 0 - 12/(-2). Suppose -4/3*d**3 + 100/3*d**q + 4/3*d**2 + t + 0*d - 55/3*d**4 = 0. What is d?
-1/4, 0, 2/5
Let g(s) = s**3 - 2*s**2 - s + 4. Let h be g(2). Let l(j) be the third derivative of -4*j**h + 1/30*j**5 + 4/3*j**3 + 0 + 0*j + 1/3*j**4. Factor l(z).
2*(z + 2)**2
Factor 2/3*w**4 + 2/3*w**2 + 0*w + 4/3*w**3 + 0.
2*w**2*(w + 1)**2/3
Let t(r) = r + 8. Let s be t(-6). Factor 8/3 - 8/3*v + 2/3*v**s.
2*(v - 2)**2/3
Let k(d) = d**3 + 5*d**2 - d - 3. Let u be k(-5). Factor 0*t**3 + 5*t**2 + t**5 + t**5 - 2*t**3 - 7*t**2 + u*t**4.
2*t**2*(t - 1)*(t + 1)**2
Solve 3*i**4 + 4*i**4 - i**2 - 6*i**4 = 0 for i.
-1, 0, 1
Factor -10/19*y**2 + 0 - 8/19*y**3 - 4/19*y - 2/19*y**4.
-2*y*(y + 1)**2*(y + 2)/19
Let a = -167 + 1175/7. Solve a*f**2 + 2/7*f**4 + 0 - 2/7*f - 6/7*f**3 = 0 for f.
0, 1
Let -27/2 - 45/2*n - 3/2*n**3 - 21/2*n**2 = 0. Calculate n.
-3, -1
Let r = -49 - -147. Let t = -3 + 6. Determine g so that r*g**4 - 19*g**t - 90*g**2 + 56*g - 11 + 3 - 37*g**3 = 0.
-1, 2/7, 1
Suppose 33 = 4*w + 5*o, -3*w + 13 + 8 = 3*o. Suppose u - 6*u**3 + u**4 - 3*u + 6*u**2 - 2*u + 1 + w*u**3 = 0. Calculate u.
1
Let o(z) = 21*z**2 - 60*z. Let h(u) = 11*u**2 - 30*u. Let s(f) = -11*h(f) + 6*o(f). Factor s(p).
5*p*(p - 6)
Let r(g) be the first derivative of g**9/4032 - g**8/960 + g**7/672 - g**6/1440 + 2*g**3/3 + 3. Let u(i) be the third derivative of r(i). Factor u(s).
s**2*(s - 1)**2*(3*s - 1)/4
Let c(i) be the third derivative of 0 - 1/70*i**5 + 0*i**3 + 0*i - 1/84*i**4 + 3*i**2. What is b in c(b) = 0?
-1/3, 0
Let h(n) = 2*n. Let m be h(2). Suppose 18 = 5*v + m*w, -2*v + 0*w + 6 = w. Factor -s**v + 8/5*s + 4/5.
-(s - 2)*(5*s + 2)/5
Let q(x) be the second derivative of -3*x**5/20 + 3*x**4/4 - 3*x**3/2 + 3*x**2/2 - 2*x. Factor q(z).
-3*(z - 1)**3
Let f(y) be the second derivative of y**7/840 - y**6/360 - y**5/60 + y**3/2 - 4*y. Let q(r) be the second derivative of f(r). Find z such that q(z) = 0.
-1, 0, 2
What is b in 2*b**5 + 4*b**2 + b**5 - 3*b**4 - b**4 + 2*b - 5*b**5 = 0?
-1, 0, 1
Factor -7*b**3 + 0*b**4 - 3*b**2 + 3*b**4 + 3*b**5 + 6*b + 9*b**3 - 11*b**3.
3*b*(b - 1)**2*(b + 1)*(b + 2)
Let r(c) = -5*c**2 - 11*c + 9. Suppose -5*h + 12 = -3. Let j(l) = 2*l**2 + 5*l - 4. Let b(w) = h*r(w) + 7*j(w). Let b(i) = 0. What is i?
1
Let f(v) = -131*v**3 + 96*v**2 - 27*v - 1. Let p(i) = -263*i**3 + 192*i**2 - 55*i - 3. Let c(o) = 14*f(o) - 6*p(o). Find m such that c(m) = 0.
1/4
Let w(g) be the first derivative of g**3 - 8*g**2 + 7*g - 8. Let j be w(5). Factor 11/2*f**j - 1 - 9/2*f.
(f - 1)*(11*f + 2)/2
Let j be (-2)/(-5) + 84/15. Suppose -3*h = -h - j. Factor -5*l**h - l**4 + 5*l**3.
-l**4
Let y = -365 + 367. Factor 4/3*j**4 + 0 + 0*j + 2/3*j**y + 2*j**3.
2*j**2*(j + 1)*(2*j + 1)/3
Let c = 2 - -2. Let i be 3 - c/(84/51). Suppose 0 + 10/7*o**3 + 0*o + i*o**4 - 4/7*o**2 - 10/7*o**5 = 0. Calculate o.
-1, 0, 2/5, 1
Suppose 0*u + 40 = 5*u - 5*w, 2*u = -3*w - 4. Let g(z) be the second derivative of -27/4*z**2 + 0 - 1/8*z**u - 3/2*z**3 - 3*z. Let g(r) = 0. What is r?
-3
Let g - g - 20*g**4 + 5*g**5 + 15*g**3 + 0*g = 0. Calculate g.
0, 1, 3
Suppose 5*d + a = 4*a + 4, 2*d + a = -5. Let f be -1 + ((-11)/3)/d. Let -2*r**3 + 0*r**2 + f*r + 2/3*r**4 + 0 = 0. Calculate r.
-1, 0, 2
Let o = -36/11 - -83/22. Let c(w) be the first derivative of 0*w**2 + o*w - 4 - 1/6*w**3. Let c(a) = 0. What is a?
-1, 1
Let m(a) = -19*a**2 - 80*a - 12. Let f be m(-4). Factor 1/6*n**3 + 1/2*n**2 - 5/6*n + 1/3 - 1/6*n**f.
-(n - 1)**3*(n + 2)/6
Let a(b) be the first derivative of -2*b**5/5 + b**4/2 + 2*b**3 - b**2 - 4*b + 27. Determine x so that a(x) = 0.
-1, 1, 2
Suppose t - 5*k = -5, -k + 3*k - 2 = -5*t. Find d, given that t*d + 1/3*d**2 + 2/3*d**3 + 1/3*d**4 + 0 = 0.
-1, 0
Let b = -1/62 - -1/31. Let n = b - -119/310. Suppose 0 - n*u**2 + 1/5*u**3 + 1/5*u = 0. What is u?
0, 1
Let l(k) be the first derivative of -k**4/24 + k**3 - 9*k**2 + 36*k - 3. Let l(z) = 0. What is z?
6
Solve 4/5 - 2/3*j + 2/15*j**2 = 0.
2, 3
Factor 16/5*m**2 + 4/5 + 4*m.
4*(m + 1)*(4*m + 1)/5
Let u be ((-4)/5)/(3/(-15)). Let m(a) be the first derivative of 0*a**2 + 0*a - 2/15*a**3 - 2 - 7/20*a**u. Determine t so that m(t) = 0.
-2/7, 0
Let j(f) be the second derivative of 0*f**2 - f - 1/70*f**7 + 1/50*f**6 + 0*f**3 + 0*f**5 + 0 + 0*f**4. Suppose j(d) = 0. Calculate d.
0, 1
Find y, given that 7/6*y**5 + 0 + 2*y**4 + 1/2*y**3 + 0*y - 1/3*y**2 = 0.
-1, 0, 2/7
Let d be (15 - 6) + 2*1. Suppose -13*v = -d*v - 6. Factor 0 + 2*g**2 - 2*g + 3/2*g**v.
g*(g + 2)*(3*g - 2)/2
Let q(r) be the second derivative of -r**7/210 + r**5/30 - r**3/6 + r**2/2 + 2*r. Let p(n) be the first derivative of q(n). Factor p(v).
-(v - 1)**2*(v + 1)**2
Let 15*n + 8*n - 10 - 20*n**4 + 2*n + 5*n**4 - 25*n**3 + 25*n**2 = 0. Calculate n.
-2, -1, 1/3, 1
Let q(s) = -13*s**2 - 9*s - 5. Suppose 33 = -5*y - 57. Let f(n) = 3*n**2 + 2*n + 1. Let d(p) = y*f(p) - 4*q(p). Factor d(i).
-2*(i - 1)*(i + 1)
Determine w so that 3*w**2 - 4*w**2 + 0*w**2 = 0.
0
Let w(u) be the second derivative of -5/24*u**4 - 1/40*u**5 - 2/3*u**3 - u**2 + 0 + 8*u. Find a, given that w(a) = 0.
-2, -1
Let j(t) be the first derivative of t**2/2 + 2*t + 2. Let u be j(0). Let 1/3*i**3 + 0*i**u + 0 - 1/3*i = 0. What is i?
-1, 0, 1
Let c(m) be the third derivative of m**6/240 - 7*m**5/120 + 5*m**4/16 - 3*m**3/4 - 12*m**2. Solve c(u) = 0.
1, 3
Let r = 810 - 7282/9. Let r - 4/9*y**3 - 8/9*y - 14/9*y**2 = 0. What is y?
-2, 1/2
Let d(s) = s - 2. Let k be d(2). Let h(m) = -m**3 + m**2 + m + 3. Let p be h(k). Solve 2/9*r**5 - 2/9*r**4 + 4/9*r**2 + 2/9*r - 4/9*r**p - 2/9 = 0.
-1, 1
Solve -4/11*f**2 - 2/11*f + 4/11 + 2/11*f**3 = 0.
-1, 1, 2
Let x be 7 - (1 + 1 + 2). Factor -2/7*t**x - t**2 + 0 + 2/7*t + t**4.
t*(t - 1)*(t + 1)*(7*t - 2)/7
Let l(q) = -q**3 - 9*q**2 - 9*q + 4. Let z(o) = -2*o**3 - 22*o**2 - 22*o + 10. Let m(u) = -12*l(u) + 5*z(u). Find c such that m(c) = 0.
-1, 1
Let r be (-6)/(-2) + (7 - 8). Let o = r - -1. Find j such that 0*j + 1/2*j**2 - 1/2*j**o + 0 = 0.
0, 1
Let s(g) be the first derivative of -g**6/40 + 3*g**5/20 - 3*g**4/8 + g**3/2 + g**2/2 - 5. Let a(w) be the second derivative of s(w). Factor a(i).
-3*(i - 1)**3
Let c(h) be the second derivative of h**6/180 - h**5/30 + h**4/12 + 5*h**3/6 + 3*h. Let q(t) be the second derivative of c(t). Factor q(z).
2*(z - 1)**2
What is z in -3*z - 3*z**2 + 4*z**2 + 3*z = 0?
0
Factor -1448*u**5 + 8*u**4 + 2 - 2 - 16*u**3 + 12*u + 1452*u**5 - 8*u**2.
4*u*(u - 1)**2*(u + 1)*(u + 3)
Let w = -1/36 - -41/180. Suppose -2/5 + 1/5*f**2 - w*f = 0. Calculate f.
-1, 2
Factor -2/9*x + 2/9*x**3 - 2/9*x**2 + 2/9.
2*(x - 1)**2*(x + 1)/9
Factor 1/4*f**4 + 0*f + f**2 + 0 + f**3.
f**2*(f + 2)**2/4
Let y(d) = d**2 + 4*d + 3. Let v be y(-2). Let g(z) = z**3 - z - 1. Let t(c) = 2*c**3 - 2*c - 1. Let u(q) = v*g(q) + t(q). Factor u(n).
n*(n - 1)*(n + 1)
Suppose 0 = -77*v + 50*v + 108. Let 1/2 - 11/4*i**3 - 11/4*i**2 - 1/4*i - 3/4*i**v = 0. Calculate i.
-2, -1, 1/3
Let k(m) be the third derivative of m**8/16800 - m**7/6300 - m**6/900 + m**4/8 + 9*m**2. Let q(l) be the second derivative of k(l). Factor q(y).
2*y*(y - 2)*(y + 1)/5
Let -78*o**2 - 52*o + 45*o**4 + 12*o - 70*o**3 - 102*o**2 + 20*o**5 = 0. What is o?
-2, -1/4, 0, 2
Let d be 1/(-5) - (-93)/15. Suppose 0 = -r + 5*m - 4 - 11, -r = 2*m - d. Let r*w - 1/2*w**2 - 3/2*w**4 + 1/2*w**5 + 3/2*w**3 + 0 = 0. What is w?
0, 1
Let a = -1/1617 - 59827/3234. Let z = a + 20. Find i such that -1/2*i**2 + 0 - z*i**4 - 1/2*i**5 + 0*i - 3/2*i**3 = 0.