2/7*n**2 = 0.
1, 2
Let r(m) = m**4 + 5*m**3 + m**2 - 3*m - 3. Let k = 4 - 1. Let h(n) = 4*n**3 + 2*n**2 - 2*n - 2. Let v(u) = k*h(u) - 2*r(u). Factor v(d).
-2*d**2*(d - 2)*(d + 1)
Let d(y) = y**2 - 12*y - 13. Let t be d(14). Determine o, given that o**2 - 9*o**4 - t*o**3 + 11*o**2 + 0*o**2 + 12*o = 0.
-2, -2/3, 0, 1
Factor 0 - 2/5*s**2 - 16/5*s**3 - 2*s**4 + 4/5*s.
-2*s*(s + 1)**2*(5*s - 2)/5
Factor 1/5*p**2 + 1/5*p + 0.
p*(p + 1)/5
Let -12/7*a + 3/7*a**3 - 6/7*a**2 + 24/7 = 0. Calculate a.
-2, 2
Let t(m) be the third derivative of -m**8/560 - m**7/50 - 7*m**6/100 - m**5/50 + 3*m**4/8 + 9*m**3/10 - 13*m**2. What is d in t(d) = 0?
-3, -1, 1
Suppose -10 - 5 = -5*j. Factor 10/3*b**j + 2/3*b - 4/3 + 16/3*b**2.
2*(b + 1)**2*(5*b - 2)/3
Let i be 24/(-18)*(-3)/2. Let u(d) be the second derivative of -d + 0*d**3 + 0*d**i + 0 + 0*d**5 - 1/24*d**4 + 1/60*d**6. What is x in u(x) = 0?
-1, 0, 1
Let p(v) be the second derivative of 1/18*v**3 + 0*v**2 - v - 1/36*v**4 + 0 - 1/60*v**5 + 1/90*v**6. Find h, given that p(h) = 0.
-1, 0, 1
Let a(c) be the first derivative of -c**6/90 + c**4/36 - c - 4. Let n(i) be the first derivative of a(i). Factor n(q).
-q**2*(q - 1)*(q + 1)/3
Let p(k) = 3*k**3 + 12*k**2 - 10*k - 5. Let j(b) = -2*b**3 - 12*b**2 + 10*b + 4. Let g(o) = -5*j(o) - 4*p(o). Find v such that g(v) = 0.
0, 1, 5
Let c = 59 - 57. Solve i**4 - 5/3*i**3 - 1/3*i**c + 5/3*i - 2/3 = 0 for i.
-1, 2/3, 1
Let w = 127 - 633/5. Factor -2/5*f - w*f**2 + 4/5.
-2*(f - 1)*(f + 2)/5
Factor 0 - w**3 - 1/3*w**4 - w**2 - 1/3*w.
-w*(w + 1)**3/3
Let i(l) be the first derivative of 3 + 1/24*l**4 + 0*l**2 + 0*l + 1/18*l**3. What is p in i(p) = 0?
-1, 0
Let t(i) be the first derivative of -3 + 2/5*i - 2/5*i**4 - 4/5*i**2 + 2/25*i**5 + 4/5*i**3. Suppose t(d) = 0. Calculate d.
1
Let o(w) be the second derivative of -w - 1/7*w**2 - 2/21*w**3 - 1/42*w**4 + 0. Solve o(r) = 0 for r.
-1
Let a(p) = p + 5. Let c be a(-4). Let d be (c/(-3))/(-4 - -3). Let 4/3*j**3 + 1/3*j**2 - 4/3*j - d = 0. What is j?
-1, -1/4, 1
Let j(w) be the third derivative of w**5/300 - w**3/30 + 9*w**2. Factor j(n).
(n - 1)*(n + 1)/5
Let f(h) be the third derivative of h**7/210 - h**6/24 + 3*h**5/20 - 7*h**4/24 + h**3/3 - 10*h**2. Factor f(w).
(w - 2)*(w - 1)**3
Let a(t) = -t**2 + t + 1. Let w be a(0). Let p be (12*w)/1 + 2. Solve -r + 22*r**2 + 15*r - p*r**3 - 1 - 24*r**4 + 3 = 0 for r.
-1, -1/3, -1/4, 1
Let n = 17 + -6. Suppose 0 = 3*z - 4 - n. Suppose -4*s**2 - 2*s + 4*s**z - 2*s**2 + 6*s**4 + 10*s**3 - 12*s**5 = 0. What is s?
-1, -1/4, 0, 1
Suppose 3 = 5*g - 7. Let c(p) be the second derivative of 0 + p - 1/8*p**g + 0*p**5 + 1/24*p**4 + 0*p**3 - 1/120*p**6. Factor c(y).
-(y - 1)**2*(y + 1)**2/4
Let b be (-9)/(-15) + 1/(-5). Factor 4/5*r - 2/5*r**2 - b.
-2*(r - 1)**2/5
Let h = 20 - 0. Suppose -6*g + g = -h. Determine f, given that -f**5 + g*f**2 + 0*f**2 - 4*f**4 - 2*f + 3*f**5 = 0.
-1, 0, 1
Let l(o) = 2*o**2 + 3*o + 1. Let w be l(-2). Factor 2*i**3 - 4*i**2 + 4 - i**3 - w*i**3 + i + i.
-2*(i - 1)*(i + 1)*(i + 2)
Let o be ((-60)/(-36))/(3/9). What is n in -4/5*n**3 + 16/5*n**2 + 2/5 - 8/5*n**o + 12/5*n - 18/5*n**4 = 0?
-1, -1/4, 1
Let -9 - 15*w**3 + 21*w**2 - 2*w + 1 - 4 + 26*w = 0. Calculate w.
-1, 2/5, 2
Find t, given that -1/2*t - 1/2*t**4 + 1/3*t**3 + 1/3*t**2 + 1/6*t**5 + 1/6 = 0.
-1, 1
Suppose 4/9*u**2 + 14/9*u**3 - 2/9*u + 0 + 8/9*u**4 = 0. What is u?
-1, 0, 1/4
Factor 2/3*g**5 - 8/3*g**4 - 8/3*g**2 + 0 + 2/3*g + 4*g**3.
2*g*(g - 1)**4/3
Let q be 0 - 0 - (-2832)/4884. Let k = q + -8/37. Solve -2/11 - 2/11*y + 4/11*y**2 - 2/11*y**4 - 2/11*y**5 + k*y**3 = 0.
-1, 1
Let i(t) be the second derivative of 0 + 49/120*t**6 + 2*t - 5/2*t**3 - 61/24*t**4 - 21/80*t**5 - t**2. Factor i(y).
(y - 2)*(y + 1)*(7*y + 2)**2/4
Let k(l) be the third derivative of l**5/160 - l**3/16 - 17*l**2. Solve k(q) = 0 for q.
-1, 1
Let z = 9 + -9. Let k(b) be the third derivative of 0*b - 1/60*b**5 + 0*b**4 + 0 + 1/60*b**6 + 2*b**2 - 1/210*b**7 + z*b**3. Factor k(o).
-o**2*(o - 1)**2
Let s(h) be the third derivative of -h**8/336 + 7*h**6/120 + h**5/30 - h**4/2 - 4*h**3/3 - 10*h**2. Factor s(b).
-(b - 2)**2*(b + 1)**2*(b + 2)
Let s(y) be the first derivative of 4/3*y**3 + 8 + 0*y**2 + 0*y. Solve s(g) = 0.
0
Let q(r) = r**2 - 4*r - 1. Let k(g) = -g**2 + g - 2. Let d(y) = -y**2 - 3. Let a(v) = -4*d(v) + 5*k(v). Let c(h) = -4*a(h) - 6*q(h). Factor c(j).
-2*(j - 1)**2
Factor 1/2*h**3 - 1/2*h**2 + 0*h + 0.
h**2*(h - 1)/2
Suppose -y + 20 = 2*i + 2*y, 3*i - 32 = -5*y. Let q(n) be the first derivative of 1/14*n**i - 3/7*n**2 - 4/7*n + 3 + 0*n**3. Let q(d) = 0. What is d?
-1, 2
Solve z + 0 + 7/2*z**2 + 5/2*z**3 = 0.
-1, -2/5, 0
Let v(q) = q + 1. Let t be v(2). Find r, given that -2*r**3 + 19*r - 19*r + t*r**3 - 2*r**2 = 0.
0, 2
Determine g so that -2/5*g**5 - 4/5 + 0*g**4 + 8/5*g**3 - 6/5*g + 4/5*g**2 = 0.
-1, 1, 2
Let l be (-6 + -3)*(0 + -1). Let j be ((-24)/l - -2)/(-1). Factor 0*c - j*c**2 + 4/3*c**3 + 0 - 2/3*c**4.
-2*c**2*(c - 1)**2/3
Factor -4*s + 6*s + 26*s**3 + 27*s**2 - 10*s**2.
s*(2*s + 1)*(13*s + 2)
Factor 0 + 3*y**3 + 0*y + 3/2*y**4 + 0*y**2.
3*y**3*(y + 2)/2
Let s be 130/25 - 16/(-3 + 7). Find t such that 2/5*t**3 + 0 + 4/5*t - s*t**2 = 0.
0, 1, 2
Solve 9/7*k**2 + 0 - 3/7*k - 9/7*k**4 + 3/7*k**3 = 0 for k.
-1, 0, 1/3, 1
Let f(c) = c**2 - 8*c. Let l be f(8). Let z(t) = t**3 + 4*t**2 - 7*t - 7. Let g be z(-5). Factor j**2 + 4*j + l - 1 + 0*j - 4*j**g.
-(j - 1)*(j + 1)*(4*j - 1)
Suppose u - 6 = -2*u. Factor -1 + 3 - c - 3*c**u + 2*c**2.
-(c - 1)*(c + 2)
Let n(k) be the second derivative of -k**4/12 - 2*k**3/3 - 2*k**2 - 4*k. Factor n(i).
-(i + 2)**2
Let z(i) be the first derivative of -i**6/1260 - i**5/420 + i**4/42 + i**3/3 - 1. Let h(n) be the third derivative of z(n). Factor h(r).
-2*(r - 1)*(r + 2)/7
Let p be 4 - (12/3)/4. Let b(d) be the third derivative of 1/168*d**7 + 1/24*d**4 + 3*d**2 + 0*d**p + 0*d + 0 - 7/480*d**6 - 1/30*d**5. Solve b(i) = 0 for i.
-1, 0, 2/5, 2
Factor -2/3*c**3 + 2/3*c**5 + 0 + 2/3*c**4 + 0*c - 2/3*c**2.
2*c**2*(c - 1)*(c + 1)**2/3
Let z be ((-78)/27 + 0)*-3. Suppose 3*b - 5*u = 11, 5*u + 2 + 3 = 0. Solve -8*r - 8/3 - 2/3*r**4 - z*r**b - 4*r**3 = 0.
-2, -1
Let f(n) be the second derivative of n**8/11760 - n**7/2940 + n**6/2520 + 4*n**3/3 - 2*n. Let y(r) be the second derivative of f(r). Find z such that y(z) = 0.
0, 1
Suppose 2*m + 5*u = -41 + 10, 0 = 5*m - 5*u - 10. Let x be m/((-3)/(-3) - 2). Suppose -4/3*w**2 + 2/3*w + 0 - 2/3*w**5 + 4/3*w**4 + 0*w**x = 0. Calculate w.
-1, 0, 1
Let z = -18 + 16. Let p(f) = f**3 + 2*f**2 - f - 2. Let r be p(z). Factor 2/5*y**3 - 2/5*y**2 - 2/5*y**5 + 0 + r*y + 2/5*y**4.
-2*y**2*(y - 1)**2*(y + 1)/5
Let x = -7547/11 - -687. Factor -4/11 + x*h + 14/11*h**2.
2*(h + 1)*(7*h - 2)/11
Suppose p - 5*y = 16, 4*p = 4*y - y + 13. Suppose -1 = -b + p. Factor 2/3*n - 2/9*n**b + 0.
-2*n*(n - 3)/9
Suppose -5*w + 2 = -3. Let p(q) = q**3 - 3*q - 2. Let o(h) = -h**3 - 1. Let u(a) = w*p(a) - 2*o(a). Factor u(g).
3*g*(g - 1)*(g + 1)
Let g(t) = -t**5 - t**4 + 6*t**3 + 6*t**2 + 5. Let p(u) = 3*u**3 + 3*u**2 + 3. Let c(h) = 3*g(h) - 5*p(h). Factor c(b).
-3*b**2*(b - 1)*(b + 1)**2
Let h(z) = z**2 - 5*z - 21. Let r be h(8). Factor 0*s + 2*s**2 - 2/3*s**r - 8/3.
-2*(s - 2)**2*(s + 1)/3
Let j(k) be the first derivative of 5*k**4/6 - 2*k**3/3 - 2*k**2/3 - 18. Let j(l) = 0. What is l?
-2/5, 0, 1
Let t(c) be the second derivative of -8*c**6/15 + 7*c**5/5 + 2*c**4 - 14*c**3/3 - 4*c**2 + 7*c. Find q such that t(q) = 0.
-1, -1/4, 1, 2
Let s(q) be the first derivative of 3*q**4/20 + 18*q**3/5 + 162*q**2/5 + 648*q/5 - 23. What is l in s(l) = 0?
-6
Find d such that 10450*d**2 - 2*d**5 - 4*d**5 - 15125*d + 175*d**4 + 526*d**3 + 6655 + d**5 - 2676*d**3 = 0.
1, 11
Let r(k) be the second derivative of -k**4/24 + k**3/4 + 7*k. Factor r(w).
-w*(w - 3)/2
Let i(q) be the third derivative of q**5/240 + q**4/48 + q**3/24 + 12*q**2. Let i(n) = 0. Calculate n.
-1
Let u(y) be the first derivative of -y**4/10 + 16*y**3/15 - 7*y**2/5 + 8. Factor u(f).
-2*f*(f - 7)*(f - 1)/5
Let c(o) be the second derivative of 3*o**7/70 + 19*o**6/75 + 31*o**5/50 + 4*o**4/5 + 17*o**3/30 + o**2/5 + 6*o. Solve c(s) = 0.
-1, -2/9
Let p = 24 + -95/4. Let t be 15/6*(-18)/(-15). Determine w so that -p - 1/4*w**4 - 3/2*w**2 + w**t + w = 0.
1
