i**s - i - 17*i**2 = 0. What is i?
-4
Let v be ((-27)/15 + 3)*(-15)/6. Let m(c) = c**2. Let q(o) = 8*o**2 - 20*o + 20. Let r(g) = v*m(g) + q(g). Determine b, given that r(b) = 0.
2
Let x be ((-12)/42)/((-3)/21). Suppose 2 = 3*h - x*h. Determine p, given that -h*p**5 + 2*p**5 - p**5 = 0.
0
Let g(m) = -9*m - 45. Let u be g(-5). Suppose -8*h + 28 + 4 = u. Factor -3/2*q - 3/2*q**h + 0 - 9/2*q**2 - 9/2*q**3.
-3*q*(q + 1)**3/2
Let y(k) be the third derivative of -1/108*k**4 + 0 - 4*k**2 - 1/270*k**5 + 0*k**3 + 0*k. Factor y(a).
-2*a*(a + 1)/9
Let n be (130/(-13) + 12)*1. Factor 5/4*k - 1/2 + 1/4*k**3 - k**n.
(k - 2)*(k - 1)**2/4
Let p(x) = -x**3 + x**2 - x + 1. Let k(y) = y**5 + 6*y**4 + 11*y**3 + 9*y**2 - y + 1. Let c(q) = k(q) - p(q). Determine o so that c(o) = 0.
-2, 0
Factor -3/4*x + 1/4*x**2 - 1.
(x - 4)*(x + 1)/4
Factor 0*l**2 + 14/5*l**3 + 0*l - 4/5*l**5 + 2*l**4 + 0.
-2*l**3*(l + 1)*(2*l - 7)/5
Factor 0*k**3 + 7*k**4 - 12 - 24*k**3 + 2*k**5 + k**4 - 174*k + 4*k**2 + 90*k + 106*k.
2*(k - 1)**3*(k + 1)*(k + 6)
Factor -3*r + 3*r - 5*r**2 - 18*r - 17*r.
-5*r*(r + 7)
Let k(r) be the third derivative of r**6/1080 - r**5/540 - 7*r**4/27 - 8*r**3/3 - 8*r**2 + 7. Factor k(m).
(m - 9)*(m + 4)**2/9
Let r be -12*(-29*(-15)/6525)/(6/(-20)). Solve 10*x**2 + 32/3*x + 8/3 - r*x**3 - 8/3*x**4 = 0.
-2, -1/2, 2
Let m(x) = 2*x**4 + x**2 + 2*x + 1. Let n(f) = -2*f**5 + 20*f**4 + 106*f**3 + 165*f**2 + 78*f + 3. Let y(w) = 3*m(w) - n(w). Find i such that y(i) = 0.
-3, -1, 0, 12
Let d(v) = -16*v - 317. Let x be d(-20). Let q(s) be the first derivative of 3/2*s**2 - 3/2*s - 1/2*s**x - 6. Factor q(p).
-3*(p - 1)**2/2
Let a(s) = -192*s + 2306. Let c be a(12). Find q such that 5/4 - 1/4*q**c + q = 0.
-1, 5
Let w(r) = 9*r**4 + 21*r**3 + 4*r**2 - 29*r + 5. Let t(i) = 8*i**4 + 20*i**3 + 4*i**2 - 28*i + 4. Let y(p) = -5*t(p) + 4*w(p). Factor y(o).
-4*o*(o - 1)*(o + 2)*(o + 3)
Let w(y) be the first derivative of 4*y**5/25 - 8*y**3/15 + 4*y/5 - 32. Find f, given that w(f) = 0.
-1, 1
Let d(p) be the second derivative of p**6/90 + p**5/30 + 2*p - 7. Factor d(b).
b**3*(b + 2)/3
Let k(f) be the first derivative of f**6/42 + 2*f**5/7 + 2*f**4/7 - 10*f**3/21 - 9*f**2/14 + 98. Find y, given that k(y) = 0.
-9, -1, 0, 1
Let h(c) be the second derivative of c**4/6 + 17*c**3/3 + 16*c. Factor h(w).
2*w*(w + 17)
Find l, given that 0*l - 2/7*l**5 + 0 + 0*l**3 + 0*l**2 + 6/7*l**4 = 0.
0, 3
Let g(s) be the second derivative of s**5/5 - 61*s**4/3 - 124*s**3/3 + 100*s. Solve g(k) = 0.
-1, 0, 62
Suppose 18 = 4*s + g - 14, 0 = -2*g. Factor 10*f - 2 - s - 5*f - 2*f**2 + 7*f**2.
5*(f - 1)*(f + 2)
Solve -8*l**2 + 0 - 1/3*l**5 - 8/3*l**4 - 3*l - 22/3*l**3 = 0.
-3, -1, 0
Factor 0*b**3 - 15 + 3/4*b**4 + 27*b - 51/4*b**2.
3*(b - 2)**2*(b - 1)*(b + 5)/4
Let g = -9681/2 - -4842. Let 1/4*m**2 - m**5 - g*m**3 + 9/4*m**4 + 0*m + 0 = 0. Calculate m.
0, 1/4, 1
Suppose -7 + 0 = -5*a + o, 0 = -4*a - 4*o + 20. Factor -2*b**2 + 3*b**a + 5*b**2 - b**2 - 5*b**4.
-5*b**2*(b - 1)*(b + 1)
Let x(b) be the third derivative of -5*b**8/336 + 19*b**7/42 + 5*b**6/6 + 138*b**2. What is r in x(r) = 0?
-1, 0, 20
Let v(u) be the first derivative of -13*u**6/9 - 4*u**5/15 + 12. Determine l so that v(l) = 0.
-2/13, 0
Let c be 80/(-96)*(16/(-15))/8. Let y(x) be the first derivative of -1/5*x**5 - 1/4*x**4 + 0*x + 8 - c*x**3 + 0*x**2 - 1/18*x**6. Factor y(o).
-o**2*(o + 1)**3/3
Let t(x) be the first derivative of x**5/90 + x**4/3 + 4*x**3 + 35*x**2/2 + 40. Let r(q) be the second derivative of t(q). Solve r(v) = 0.
-6
Let j = -9 - -11. Let 3*u + 18*u - u**j - u**2 - u**2 = 0. What is u?
0, 7
Let r(j) be the third derivative of -j**6/720 - 7*j**5/360 + 5*j**4/72 + 4*j**3/9 - 142*j**2. Let r(v) = 0. What is v?
-8, -1, 2
Factor 37 + 75*l**3 + 5*l**4 - 63*l - 29 - 12*l + 65*l**2 - 78.
5*(l - 1)*(l + 1)**2*(l + 14)
Let d(i) be the first derivative of 2*i**5/5 + 28*i**4 + 684*i**3 + 5776*i**2 - 13718*i + 106. Let d(x) = 0. What is x?
-19, 1
Let k(m) be the third derivative of -12*m**2 + 0*m + 0 + 0*m**3 + 5/24*m**4 - 1/6*m**5 + 1/24*m**6. Factor k(o).
5*o*(o - 1)**2
Factor -2/5*s**3 - 2/5*s**2 + 4/5*s + 0.
-2*s*(s - 1)*(s + 2)/5
Let u(p) be the third derivative of 20*p**2 - 2/21*p**3 + 0*p + 0 - 1/84*p**4 + 1/210*p**5. Suppose u(f) = 0. Calculate f.
-1, 2
Let h = 3 - -1. Suppose -h = -4*v + 4. Solve -16*z**2 + z**4 - 3*z**4 - 2 + 4*z**v - 8*z**3 - 8*z = 0 for z.
-1
Find r such that -4 - 8*r**2 + 6*r**2 - 6*r + 0*r**2 = 0.
-2, -1
Find m such that 28/15*m - 2/15*m**4 - 28/15*m**3 + 32/15*m**2 - 2 = 0.
-15, -1, 1
Let y(t) = 26*t**2 - 226*t + 210. Let h(f) = -8*f**2 + 75*f - 70. Let m(r) = -10*h(r) - 3*y(r). Solve m(v) = 0 for v.
1, 35
Let s be 3/5 - (-301)/(-35). Let p be (s/(-6))/((-6)/(-9)). Factor 1 - 6 + 2*l + 5 + 1 + l**p.
(l + 1)**2
What is p in 10 - 33*p**4 - 8*p**3 + 37*p**4 - 16*p**2 + 2 + 8*p = 0?
-1, 1, 3
Suppose -68*o + 64 = -72. Let u(g) be the second derivative of -1/12*g**3 + 1/24*g**4 + 0*g**o - 6*g + 0. Find s, given that u(s) = 0.
0, 1
Let p(g) be the third derivative of 1/84*g**8 + 11*g**2 - 1/30*g**6 + 0*g**4 - 2/105*g**7 + 1/15*g**5 + 0*g**3 + 0*g + 0. Factor p(w).
4*w**2*(w - 1)**2*(w + 1)
Suppose 4*u - 1 = 3*u - 2*j, 4*u = 2*j + 4. Let h be (u - 9)/(-2) + 1600/(-448). Let h*w + 0*w**2 + 0 - 3/7*w**3 = 0. Calculate w.
-1, 0, 1
Let j(t) be the first derivative of -8 - 1/42*t**6 + 1/28*t**4 + 1/21*t**3 + 0*t + 0*t**2 - 1/35*t**5. Factor j(u).
-u**2*(u - 1)*(u + 1)**2/7
Solve -4/7*b**3 - 4/7*b**4 + 52/7*b + 24/7 + 4*b**2 = 0 for b.
-2, -1, 3
Suppose 42*o - 348 = -59*o - 15*o. Factor 10 + 11*n - 28/5*n**2 + 3/5*n**o.
(n - 5)**2*(3*n + 2)/5
Let n(s) be the second derivative of -3*s**5/100 + s**4 + 21*s**3/10 + 547*s. Factor n(c).
-3*c*(c - 21)*(c + 1)/5
Factor -113*p**3 - 3*p**4 - 22*p**3 - 262*p - 1449*p**2 + 1849*p.
-3*p*(p - 1)*(p + 23)**2
Let c(w) = 9*w**3 - 16*w**3 + 6*w**3 + w**2. Let p(z) be the first derivative of 7*z**4 - 38*z**3/3 + 5*z**2 + 27. Let j(s) = 3*c(s) + p(s). Factor j(k).
5*k*(k - 1)*(5*k - 2)
Let g(x) be the third derivative of 0 + 9*x**2 + 3/16*x**4 - 1/10*x**5 + 1/4*x**3 + 0*x. Determine j so that g(j) = 0.
-1/4, 1
Factor 0 + 1/4*f**2 + 9/4*f.
f*(f + 9)/4
Let k(w) be the third derivative of -w**7/105 + 7*w**6/60 - w**5/5 - 8*w**4/3 + 32*w**3/3 - 48*w**2. Factor k(r).
-2*(r - 4)**2*(r - 1)*(r + 2)
Let z(g) be the first derivative of 2*g**3/7 + 69*g**2/14 - 36*g/7 + 232. Factor z(x).
3*(x + 12)*(2*x - 1)/7
Let j = 156 + -150. Suppose -12 = -0*k - j*k. Factor 0 - 2/3*d**k + 1/3*d.
-d*(2*d - 1)/3
Let m(s) be the first derivative of s**5/90 - s**3/9 + 15*s**2/2 + 5. Let w(b) be the second derivative of m(b). Find a such that w(a) = 0.
-1, 1
Let x = 2480 - 2478. Suppose 17/4*c**x + 1 - 5*c + 7/2*c**3 = 0. What is c?
-2, 2/7, 1/2
Let x(w) be the second derivative of w**6/55 + w**5/110 - w**4/33 - 2*w - 144. Suppose x(h) = 0. What is h?
-1, 0, 2/3
Let w(i) = -7*i**5 + 12*i**4 - 4*i**3 - 6*i**2 - 7*i - 6. Let v(p) = -p**5 + 2*p**4 - p**3 - p**2 - p - 1. Let n(x) = -6*v(x) + w(x). Factor n(d).
-d*(d - 1)**2*(d + 1)**2
Let r be -1*6*(-13)/26. Let d(h) be the first derivative of 1/4*h**4 + 9 + 0*h + 4/3*h**r + 2*h**2. Factor d(v).
v*(v + 2)**2
Let q(b) be the first derivative of 0*b**2 + 1/2*b**4 + 0*b + 9 - 2/3*b**3. Determine i so that q(i) = 0.
0, 1
What is f in 5*f + 26*f + 11*f - 8*f**3 + 12*f**3 + 12*f + 30*f**2 + 20 = 0?
-5, -2, -1/2
Let t be (-9 + 7 + 6)/12. Let n(g) be the first derivative of 2*g - 1/2*g**2 - 2 - t*g**3. What is a in n(a) = 0?
-2, 1
Suppose -2*d = -p - 3, -3*p = 2*p - 15. Let x(t) be the second derivative of d*t + 1/15*t**3 + 0 + 0*t**2 - 1/30*t**4. Determine v so that x(v) = 0.
0, 1
Find o such that o**4 + 1382*o - 12 - 18*o**3 - 718*o - 700*o - 39*o**2 - 4*o**4 = 0.
-2, -1
Suppose 13 - 5 = 2*i. Let -6*d**3 + 15*d**2 - 6*d + 3*d**i - 6*d**3 + 3 - 3 = 0. What is d?
0, 1, 2
Let c(g) be the first derivative of g**4 - 16*g**3 + 58*g**2 - 72*g - 118. Find t such that c(t) = 0.
1, 2, 9
Let y(t) be the second derivative of -t**5/12 - 5*t**2 + 12*t. Let c(a) be the first derivative of y(a). What is f in c(f) = 0?
0
Let f(x) be the second derivative of -3*x**5/20 + x**4/4 + 98*x. Factor f(r).
-3*r**2*(r - 1)
Let n(a) be the second derivative of -16*a**7/105 - 88*a**6/75 - a**5/2 + 83*a**4