at is j?
0, 1
Factor 4*o**2 + 4*o + o**2 - o**2 + o**3 + 2 + o.
(o + 1)**2*(o + 2)
Let m be (2 + -1 - 1)/1. Let n be 2*1 - m/(-3). Suppose 2*k**4 - k**5 + 8*k**n + 21*k**3 - 7*k - 6*k**5 + 3*k = 0. What is k?
-1, 0, 2/7, 2
Let o(u) be the third derivative of -u**6/300 - 2*u**5/75 - u**4/12 - 2*u**3/15 + 7*u**2. Let o(i) = 0. What is i?
-2, -1
Suppose -25*w = -17*w - 24. Solve 1/4*s**4 + w*s + 3/2*s**3 + 1 + 13/4*s**2 = 0.
-2, -1
Let p(f) be the first derivative of -f**5/20 - f**4/16 + 7. Factor p(i).
-i**3*(i + 1)/4
Let h(t) = -t**2 - 6*t + 18. Let x be h(-8). Let w = 2/27 + 44/135. Suppose w*o + 0*o**x - 2/5*o**3 + 0 = 0. What is o?
-1, 0, 1
Let n(c) = c**3 + 3*c**2 - 5*c - 1. Let o be n(-4). Let z be 2 - (o - 0)/(-3). Find t, given that -2*t - t**2 + 5*t**2 + 0*t**2 - 2*t**z = 0.
0, 1
Let j(y) be the first derivative of -y**6/60 + y**5/15 - y**4/12 - 3*y**2/2 - 1. Let l(v) be the second derivative of j(v). Factor l(f).
-2*f*(f - 1)**2
Factor 0 + 4/9*s - 2/9*s**2.
-2*s*(s - 2)/9
Let r(v) = v**3 + 44*v**2 - 18*v. Let i(z) = 15*z**2 - 6*z. Let k(f) = 17*i(f) - 6*r(f). Determine s so that k(s) = 0.
-2, 0, 1/2
Factor -4/3*v**2 - 2*v - 2/3.
-2*(v + 1)*(2*v + 1)/3
Let z be 14/(-21)*(-2)/2. Solve z + 1/3*d - 1/3*d**2 = 0 for d.
-1, 2
Factor 3*k**3 - 64*k**4 + k**5 + 62*k**4 - 2*k**3.
k**3*(k - 1)**2
Let b = -198 + 201. Factor -b + 8*u - 16/3*u**2.
-(4*u - 3)**2/3
Let t(d) = 19*d**4 + 45*d**3 + 9*d**2. Let l(b) = -b**4 - b**2. Let x(w) = -l(w) + t(w). Factor x(p).
5*p**2*(p + 2)*(4*p + 1)
Factor -2/3*y**3 - 2/3*y**2 + 2/3*y**4 + 2/3*y + 0.
2*y*(y - 1)**2*(y + 1)/3
Let k(o) = -o**3 + 4*o**2. Let u be k(2). Let s be (1/6)/(4/u). Factor -1/3*n**4 - 2*n**2 + 4/3*n + 4/3*n**3 - s.
-(n - 1)**4/3
Suppose -2*m - 3*m = 0. Factor 14*t + 6*t - 4*t + m*t**3 + 16*t**2 + 4*t**3.
4*t*(t + 2)**2
Let g(p) = p + 9. Let b be g(-7). Suppose b*h - 3*h = -3. Factor m**5 - 2*m**5 + 2*m**4 - 2*m**4 - h*m**4 - 2*m**3.
-m**3*(m + 1)*(m + 2)
Let o(k) = -4*k**4 + 110*k**3 + 76*k**2 - 110*k - 114. Let m(u) = -u**4 + 22*u**3 + 15*u**2 - 22*u - 23. Let a(p) = 28*m(p) - 6*o(p). Let a(c) = 0. What is c?
-10, -1, 1
Suppose 2*u = 4*u. Let x be 1 + 1 + -2 + u. Find n such that 1/4*n + x*n**3 + 0 - 1/2*n**2 + 1/2*n**4 - 1/4*n**5 = 0.
-1, 0, 1
Let l(t) = 7*t**3 - 10*t**2 + 8*t + 17. Let v(i) = -4*i**3 + 5*i**2 - 4*i - 9. Let y(q) = 6*l(q) + 11*v(q). Factor y(n).
-(n - 1)*(n + 3)*(2*n + 1)
Let w(y) be the first derivative of -y**6/15 - 8*y**5/25 - 2*y**4/5 + 4*y**3/15 + y**2 + 4*y/5 + 7. Let w(s) = 0. Calculate s.
-2, -1, 1
Let a(r) be the second derivative of -r**7/1400 + r**6/600 + r**5/50 - r**4/10 - r**3/3 - 6*r. Let l(c) be the second derivative of a(c). Factor l(y).
-3*(y - 2)*(y - 1)*(y + 2)/5
Suppose -i = -c, c = -3*c - 4*i + 32. Suppose 3*k + 4 = -3*j - 2, -c = k. Suppose 0*a + 0 + j + 3*a**2 + 4*a - a**2 = 0. Calculate a.
-1
Let h(x) be the third derivative of -x**8/840 - x**7/210 + x**5/30 + x**4/12 + x**3 - 3*x**2. Let y(b) be the first derivative of h(b). Solve y(k) = 0.
-1, 1
Let x(l) be the second derivative of l**5/20 - 7*l**4/36 + 5*l**3/18 - l**2/6 - 3*l. Factor x(i).
(i - 1)**2*(3*i - 1)/3
Let u(f) = -3. Let w(x) = x**2 - x - 1. Let y(c) = c. Let i be y(3). Let z(o) = i*w(o) - u(o). Factor z(m).
3*m*(m - 1)
Let n(y) = 25*y**2 + 175*y. Let l(i) = 8*i**2 + 58*i. Let f(h) = -10*l(h) + 3*n(h). What is u in f(u) = 0?
-11, 0
What is o in o - 1/5 - 9/5*o**2 - 2/5*o**4 + 7/5*o**3 = 0?
1/2, 1
Let m(w) be the second derivative of -w**7/16380 + w**6/585 - 4*w**5/195 + 7*w**4/12 - w. Let g(j) be the third derivative of m(j). Factor g(q).
-2*(q - 4)**2/13
Let j(g) be the second derivative of g**7/525 - g**5/150 + 7*g**2/2 + 7*g. Let k(h) be the first derivative of j(h). Factor k(m).
2*m**2*(m - 1)*(m + 1)/5
Let n = 798 + -795. Determine q so that -2/5 + 6/5*q**4 + 8/5*q**n - 4/5*q**2 - 8/5*q = 0.
-1, -1/3, 1
Let b(a) = -a - 7. Let g be b(-9). Factor m**g - 5*m**3 - 5*m**2 + 7*m**3.
2*m**2*(m - 2)
Suppose 10*f - 245 = -225. Solve -2/11*h + 0 + 2/11*h**f = 0.
0, 1
Let h = 2 - 2. Suppose 2*f - 3*f + 3 = h. Factor 13*n**2 - n**4 - 4*n**3 + 4*n**4 - n**2 - 8*n**f.
3*n**2*(n - 2)**2
Suppose 10*r = 4*q + 5*r - 12, 3 = q + 3*r. Suppose q*f + 0 = 12. Factor 0*n - 2/7*n**3 - 2/7*n**f + 2/7*n**5 + 2/7*n**2 + 0.
2*n**2*(n - 1)**2*(n + 1)/7
Let t be ((-1)/2)/((-24)/16). Let s be 21/9 + (-1)/3. Let -t - m - 2/3*m**s = 0. Calculate m.
-1, -1/2
Let f(y) = -5*y**2 - 3*y - 2. Let a(c) = 6*c**2 + 4*c + 3. Suppose 20 = 4*p - 0*p. Let g(x) = p*f(x) + 4*a(x). Factor g(t).
-(t - 2)*(t + 1)
Suppose -6/11*r**3 - 2/11*r**2 + 6/11*r + 4/11 - 2/11*r**4 = 0. Calculate r.
-2, -1, 1
Find s, given that 3/7*s**3 - 3/7*s + 6/7 - 6/7*s**2 = 0.
-1, 1, 2
Let c = 0 + 0. Determine x, given that c - 2/11*x**3 - 2/11*x**2 + 0*x = 0.
-1, 0
Let y be (33/(-12) + 2)*-4. Let p be y/5*10/2. Solve -2*i - 3*i**3 + 3 + 6*i**p - 3*i**2 - i = 0 for i.
-1, 1
Let o = 18 - 14. Factor o*w - w - 6 + 3*w**2 + 0*w**2.
3*(w - 1)*(w + 2)
Let l be (-16)/40*10/(-12). Let g(a) be the first derivative of -l*a**6 - 2*a + 2 - a**2 - 2/5*a**5 + 4/3*a**3 + a**4. Factor g(s).
-2*(s - 1)**2*(s + 1)**3
Let n(g) be the first derivative of 5*g**3/3 - 20*g - 15. Find k, given that n(k) = 0.
-2, 2
Let q(b) be the second derivative of b**7/63 - 2*b**6/15 + 2*b**5/5 - 4*b**4/9 + 27*b. Find p, given that q(p) = 0.
0, 2
Let v(s) = s**2 - 14*s + 3. Let m be v(13). Let d be 18/(-45) + (-34)/m. Factor 0*j + 0 + 1/4*j**2 - 1/2*j**d + 1/4*j**4.
j**2*(j - 1)**2/4
Suppose -6 = 4*m - 22. Let b(a) be the third derivative of 0*a**3 + 0*a**4 - 1/10*a**7 + 0 - 7/48*a**8 + m*a**2 - 1/15*a**5 + 1/5*a**6 + 0*a. Factor b(t).
-t**2*(t + 1)*(7*t - 2)**2
Suppose -4/3*p + 2/3*p**3 + 0 + 7/3*p**2 = 0. Calculate p.
-4, 0, 1/2
Find t such that -8 + 6*t**2 + 5*t**3 - 2*t**5 + 7*t**3 + 2 - t**5 - 9*t = 0.
-1, 1, 2
Let g(y) be the first derivative of -3 + 0*y**3 + y - 1/42*y**4 + 1/7*y**2. Let j(a) be the first derivative of g(a). Solve j(z) = 0.
-1, 1
Let p be 48/(-128) - 98/(-176). Determine c, given that -4/11*c**2 + 4/11 - p*c + 2/11*c**3 = 0.
-1, 1, 2
Determine l, given that 7*l**2 - 5*l**4 + 8*l**2 - 2*l**2 + 20*l**3 + 7*l**2 - 5*l**5 = 0.
-2, -1, 0, 2
Let q be -1*(-3)/(-6)*0. Find o, given that q*o + 0*o - 3*o**5 + 2*o**4 + o**4 = 0.
0, 1
Let p(i) be the second derivative of 5*i + 1/2*i**6 + 0*i**2 + 3/10*i**5 + 0*i**4 + 0 + 0*i**3 + 3/14*i**7. Suppose p(r) = 0. What is r?
-1, -2/3, 0
Let q(u) be the second derivative of 7*u**5/4 - 395*u**4/12 + 55*u**3/3 + 5*u + 1. Solve q(m) = 0 for m.
0, 2/7, 11
Let j(p) be the first derivative of -3*p**4/4 + 4*p**3 + 33*p**2/2 + 18*p - 2. Determine q, given that j(q) = 0.
-1, 6
Let j be (-5)/(-2) - 1/(-2). Factor 25 - 3*f + j*f**2 - 25.
3*f*(f - 1)
Let w(j) be the first derivative of 0*j - 3/4*j**4 + 4*j**3 - 12/5*j**5 + 8 + 3/2*j**2. Factor w(n).
-3*n*(n - 1)*(n + 1)*(4*n + 1)
Suppose 2/3 + 7/3*j + j**3 + 8/3*j**2 = 0. Calculate j.
-1, -2/3
Factor 28/3*p + 4/3*p**2 + 8.
4*(p + 1)*(p + 6)/3
Suppose -p - 34 = 5*d - 8, -2*p - 4 = 2*d. Let s be (-28)/(-6) - d/(-9). Determine f so that -f + f**2 - f**s + 5*f**3 - 4*f**3 + 0*f**3 = 0.
-1, 0, 1
Factor 4*k**3 + 11*k**4 - k**2 + 3*k**4 - k**2 + 8*k**5.
2*k**2*(k + 1)**2*(4*k - 1)
Factor 900*y**2 - 31*y**3 + 3*y**4 + 10*y**3 - 56*y**3 - 3000*y - 13*y**3.
3*y*(y - 10)**3
Factor 6*w**4 + 3*w**4 - 2*w + 3*w**3 - w**2 - 8*w**4 - w**5.
-w*(w - 2)*(w - 1)*(w + 1)**2
Suppose -3*x - 8 = -x - 4*q, -x - 2*q = -8. Let o be 5/10 - 3/(-12). Factor o*k**3 + 0 + 1/4*k - 1/4*k**4 - 3/4*k**x.
-k*(k - 1)**3/4
Let p(u) be the third derivative of -u**6/24 + u**5/2 + 5*u**4/24 - 5*u**3 - 26*u**2. Solve p(b) = 0 for b.
-1, 1, 6
Let j(w) = w**4 - 9*w**3 - 6*w**2 - w. Let v(k) = k**3 + k**2 + k. Let g(r) = 3*j(r) + 15*v(r). Factor g(l).
3*l*(l - 4)*(l - 1)*(l + 1)
Let z(w) be the first derivative of 2*w**5/65 + w**4/13 - 2*w**2/13 - 2*w/13 + 34. Factor z(o).
2*(o - 1)*(o + 1)**3/13
Let m(s) = -s**3 - 2*s**2 + 3*s + 4. Let x be m(-3). Suppose x*j = -0*j. Let j*c - 22*c**2 - 15*c**3 - 8*c**4 - 4*c - 11*c**3 = 0. What is c?
-2, -1, -1/4, 0
Let o = 2 + 0. Let u(b) be the third derivative of -1/30*b**6 + 0*b + 0 - 1/30*b**5 + 0*b**4 + 1/35*b**7 + 0*b**3 + 3*b**o. Find t such that u(t) = 0.
-1/3, 0, 1
Factor -5*v**2 - 1 + 4*v