n d*f**2 + 39*f**2 - f - 73*f**2 = 0?
0, 1
Let b = 113 - 109. Let u(c) be the third derivative of 1/30*c**3 + 0*c - 1/60*c**b - 1/1050*c**7 + 0*c**5 + 1/300*c**6 + 0 + 6*c**2. Factor u(s).
-(s - 1)**3*(s + 1)/5
Suppose 0 = j - 0*j - 2. Suppose 0 = -2*w + j + 4. Suppose -14*i + w + 18*i + 2*i**2 - i**2 = 0. What is i?
-3, -1
Let m(w) be the first derivative of 1/14*w**4 - 22 - 5/7*w**2 - 2/21*w**3 - 6/7*w. Find c, given that m(c) = 0.
-1, 3
Let i(s) = 14*s**5 - 211*s**4 + 414*s**3 - 250*s**2. Let o(w) = -3*w**5 + 42*w**4 - 83*w**3 + 50*w**2. Let a(r) = 2*i(r) + 11*o(r). Find v such that a(v) = 0.
0, 1, 2, 5
Let l(u) be the second derivative of 0 + 1/30*u**5 + 7/9*u**3 + 8*u + 5/18*u**4 + u**2. Factor l(n).
2*(n + 1)**2*(n + 3)/3
Let x(q) be the third derivative of -1/150*q**5 + 1/10*q**4 - 8/15*q**3 + 19*q**2 + 0*q + 0. Find y such that x(y) = 0.
2, 4
Let i(l) be the first derivative of l**6/8 - 7*l**5/20 + l**4/8 + l**3/2 - 5*l**2/8 + l/4 + 150. Factor i(u).
(u - 1)**3*(u + 1)*(3*u - 1)/4
Let t be 1 + (-7)/(-6) + 2 + -4. Let j be (0 - -1) + (6 - 7). Let 0*x**2 + 0 - t*x**3 + j*x = 0. Calculate x.
0
Let w = -2082 - -2085. Solve 0 - 2/3*q**w + 8/15*q**5 + 2/15*q - 2/5*q**4 + 2/5*q**2 = 0.
-1, -1/4, 0, 1
Suppose -i + 2*a + 101 = 0, 3*i - a + 2*a = 275. Let r(p) = p**3 - 2*p. Let d be r(2). Solve i*c**2 - 61*c**2 + 101*c - 37*c + d*c**3 = 0 for c.
-4, 0
Factor 0 + 1/4*g**2 - 31/4*g.
g*(g - 31)/4
Let o(j) be the third derivative of j**6/240 - j**5/360 + 5*j**2 + 2*j. Factor o(w).
w**2*(3*w - 1)/6
Let p(j) = 2*j**4 + j. Let s(q) = -55*q**5 + 12*q**4 + 55*q**3 - 10*q**2 + q. Let r(v) = p(v) - s(v). Let r(b) = 0. Calculate b.
-1, 0, 2/11, 1
Suppose 21*s = 24*s + 6, d + 5 = -5*s. Let z(c) be the first derivative of -2/25*c**d - 24/5*c**3 - 54/5*c - c**4 - 54/5*c**2 + 4. Factor z(y).
-2*(y + 1)*(y + 3)**3/5
Let c = 37 - 40. Let w(o) = -8*o**3 + 2*o**2 + 2*o - 2. Let j(t) = -9*t**3 + 2*t**2 + t - 3. Let d(v) = c*w(v) + 2*j(v). Factor d(f).
2*f*(f - 1)*(3*f + 2)
Factor -246 + 252 + 0*i + 3*i**3 - 6*i**2 - 3*i.
3*(i - 2)*(i - 1)*(i + 1)
Factor -11/4*x**2 - 1 - 3/4*x**3 - 3*x.
-(x + 1)*(x + 2)*(3*x + 2)/4
Let l(y) be the third derivative of 0 + y**2 + 1/210*y**5 + 0*y + 1/28*y**4 - 4/21*y**3. Let l(r) = 0. Calculate r.
-4, 1
Factor -240*l - 3/2*l**3 - 39*l**2 - 432.
-3*(l + 4)**2*(l + 18)/2
Let y(q) be the first derivative of 11*q**8/448 - 3*q**7/35 + 3*q**6/32 - q**5/40 + 5*q**2/2 - 12. Let f(b) be the second derivative of y(b). Factor f(s).
3*s**2*(s - 1)**2*(11*s - 2)/4
Suppose 5*h = -8*b + 3*b - 35, 5*b = h + 37. Let u = h + 18. Find g such that 5*g + 28 + u*g**2 - 28 - g = 0.
-2/3, 0
Let k be (-26)/(-6) - 11/33. Let d be -9*(-3 + -2 + k). Factor 2*j + 2*j**2 - 3 + d - 6.
2*j*(j + 1)
Let w be 4*(-10)/320*(-4)/9. Let g(l) be the third derivative of 0 + 0*l - 1/180*l**5 + 4*l**2 - w*l**3 - 1/36*l**4. What is q in g(q) = 0?
-1
Let f(t) be the second derivative of -1/15*t**6 - 3/10*t**5 + 1/3*t**3 + 1/6*t**4 + 26*t + 0 + 0*t**2 + 2/21*t**7. Let f(i) = 0. What is i?
-1, -1/2, 0, 1
Let o(m) be the second derivative of 3*m**5/20 + 11*m**4/4 + 16*m**3 + 42*m**2 + 4*m - 58. Factor o(g).
3*(g + 2)**2*(g + 7)
Suppose 0*q + 2*x - 88 = -3*q, 3*q - 82 = x. Suppose 2*c - 2*g - 18 = g, -4*g = -4*c + q. Factor 22/7*s + 32/7*s**2 + 2*s**c + 4/7.
2*(s + 1)**2*(7*s + 2)/7
Let l(m) = m**2 + 11*m - 23. Let t be l(-13). Factor -8*w**2 + w**t + w**3 + 25*w**2 - 11*w**2.
2*w**2*(w + 3)
Suppose 0 = -k - 18*u + 21*u - 6, 3*k - 6*u + 12 = 0. Factor -2/13*i**3 + 0 + k*i - 4/13*i**2.
-2*i**2*(i + 2)/13
Let u(w) be the third derivative of -w**6/180 - w**5/45 + w**4/12 + 43*w**2. Find b such that u(b) = 0.
-3, 0, 1
Let w(x) be the first derivative of -x**6/21 - x**5/35 + x**4/4 + x**3/3 - x**2/14 - 2*x/7 - 377. Solve w(c) = 0 for c.
-1, 1/2, 2
Let o be (36/(-32)*2)/(6/4). Let t = o + 37/22. Find p, given that -t*p**2 + 0*p + 8/11 = 0.
-2, 2
Let b be (-247)/2522*(-2)/((-8)/30). Let s = 3/194 - b. Find p such that 0*p**2 - 1/4*p**3 + 1/2 + s*p = 0.
-1, 2
Let h(c) = 12*c**3 - 3*c**2 + c. Let q be h(1). Suppose z = -7 + q. Factor 0 + 24/5*j**2 + 16/5*j + 12/5*j**z + 2/5*j**4.
2*j*(j + 2)**3/5
Let s(m) be the first derivative of m**6/4 - 9*m**5/10 + 3*m**4/4 + m**3 - 9*m**2/4 + 3*m/2 + 96. Solve s(c) = 0 for c.
-1, 1
Let u(v) = 17*v**2 - v - 65. Let a(g) = -5*g**2 + g + 22. Let k(t) = 21*a(t) + 6*u(t). Solve k(m) = 0.
-3, 8
Let n be (-2)/(-3) - 12/(-96)*-4. Factor 1/6*i**2 - n*i + 1/6*i**3 - 1/6.
(i - 1)*(i + 1)**2/6
Let c(x) be the third derivative of -x**8/240 + x**7/525 + 7*x**6/600 - x**5/150 + 23*x**2. Suppose c(k) = 0. Calculate k.
-1, 0, 2/7, 1
Let n(p) be the second derivative of p**8/4480 - p**7/840 + p**6/480 + p**4/12 + 11*p. Let w(m) be the third derivative of n(m). Factor w(x).
3*x*(x - 1)**2/2
Factor 70/11*n - 2/11*n**2 + 72/11.
-2*(n - 36)*(n + 1)/11
Let c(d) be the second derivative of d**6/15 - 8*d**5/5 + 21*d**4/2 - 92*d**3/3 + 44*d**2 - 435*d. Solve c(w) = 0.
1, 2, 11
Let b(c) be the first derivative of 13 - 1/6*c**3 + 0*c + 3/8*c**2 - 1/16*c**4. Factor b(i).
-i*(i - 1)*(i + 3)/4
Let u(s) be the third derivative of 0*s**4 + 0*s**3 + 0*s + 0 - 1/270*s**6 + 0*s**5 + 1/315*s**7 - 9*s**2 - 1/1512*s**8. Factor u(w).
-2*w**3*(w - 2)*(w - 1)/9
Let -56/3*b - 4/3*b**2 + 0 = 0. Calculate b.
-14, 0
Let z(o) = -o**4 + o**3 - o**2 + o + 1. Let u(q) = 3 + 56*q + 2*q**2 - q**4 - 3*q - 15*q**3 + 25*q**2 + 0*q. Let i(n) = u(n) - 3*z(n). What is k in i(k) = 0?
-1, 0, 5
Let s(v) be the second derivative of -3*v**5/20 + 11*v**4/4 - 9*v**3 - 251*v. Factor s(h).
-3*h*(h - 9)*(h - 2)
Let k(w) be the third derivative of 2/21*w**4 + 0*w**3 - 20*w**2 + 0 + 11/105*w**6 + 0*w - 6/245*w**7 - 17/105*w**5. Suppose k(c) = 0. What is c?
0, 4/9, 1
Let z = -25/264 - -389/1320. Solve 3/5 + z*f**2 - f + 1/5*f**3 = 0.
-3, 1
Suppose 300 = -12*u + 360. Let t(f) be the third derivative of -7/40*f**4 + 0*f + 3/50*f**u - 9*f**2 + 1/10*f**3 + 0. What is i in t(i) = 0?
1/6, 1
Let u be ((-1 - -1) + -32)/((93590/196)/(-191)). Factor 32/5*t**2 + 0*t**3 - 4/5*t**4 + 0*t - u.
-4*(t - 2)**2*(t + 2)**2/5
Let c(t) be the third derivative of -t**7/504 - t**6/540 + 7*t**3/3 - 6*t**2. Let n(r) be the first derivative of c(r). What is f in n(f) = 0?
-2/5, 0
Let q be (44/(-6))/(-2) - (-1)/3. What is j in -30*j**3 - 102*j**2 - 13*j**2 + 26*j + q*j + 10*j**3 = 0?
-6, 0, 1/4
Suppose -1423 - 1217 = -48*x. Let m = 6 + -4. Solve 0*a**m - 77*a**4 - x*a**5 - 66*a**5 + 40*a**3 - 4*a**2 = 0.
-1, 0, 2/11
Solve 4*l**4 - 12*l**2 - 8*l**3 - 35053 + 35053 = 0.
-1, 0, 3
Let a(o) be the third derivative of 0*o**3 + 1/160*o**6 + 0*o**5 + 0 + 0*o**4 + 0*o - 9*o**2. Let a(x) = 0. Calculate x.
0
Let d(w) be the first derivative of -w**4/6 + 11*w**3/18 - 5*w**2/12 - w/3 - 38. Solve d(f) = 0 for f.
-1/4, 1, 2
Suppose 19*h**5 - 22*h**5 - 30*h**3 + 1876*h**4 - 1855*h**4 = 0. Calculate h.
0, 2, 5
Let g be ((-96)/(-120))/(4/10). Let f be ((-4)/(-3))/(14/3). Find r such that f*r + 10/7*r**3 + 16/7*r**g - 4/7 = 0.
-1, 2/5
Suppose 4*z + 62 = -f, -3*z + 7*z = f - 58. Let r be 0*((-3)/z)/((-6)/(-15)). What is k in 0*k**2 + 0*k + 0*k**3 - 3/2*k**5 + r + 3/2*k**4 = 0?
0, 1
Factor -1/2*u**5 + 0 + 1/2*u**2 - 1/2*u**4 + 0*u + 1/2*u**3.
-u**2*(u - 1)*(u + 1)**2/2
Let d(j) be the third derivative of 7/24*j**6 - 10/3*j**4 + 1/42*j**7 - 14*j**2 + 0*j**3 + 0*j + 2/3*j**5 + 0. Factor d(s).
5*s*(s - 1)*(s + 4)**2
Let c(g) be the first derivative of 2*g**4 - 8/3*g**3 + 4 - 2*g**2 + 4*g + 4/5*g**5 - 2/3*g**6. What is t in c(t) = 0?
-1, 1
Suppose 235*n - 2 = 234*n. Suppose 6/7*h**3 - 2/7*h**4 - 2/7*h**n + 4/7 - 6/7*h = 0. What is h?
-1, 1, 2
Let a be (-9)/(-4) + (-6 - -4). Let q be (20*(-1)/(-8))/10. Factor 0 - q*y + a*y**2.
y*(y - 1)/4
Let j be ((-116)/87)/(2 - (-22)/(-12)). Let x be j/14*(-7)/6. Let -4/9*q**3 - 4/9*q**2 + 2/3*q - 2/9 + x*q**4 - 2/9*q**5 = 0. What is q?
-1, 1
Let l(r) be the third derivative of 3/50*r**5 + 0*r**3 - 7/300*r**6 + 0*r + 0 + 12*r**2 - 1/30*r**4. Find i such that l(i) = 0.
0, 2/7, 1
Let p be ((-870)/40 - -9) + (-3)/(-4). Let q be (7/(14/p))/(-2). Factor -3/2*b**2 + 3/4*b**q + 0 + 0*b.
3*b**2*(b - 2)/4
Let w(k) be the first derivative of 11/2*k**2 - 275/4*k**4 - 2*k + 25*k**5 + 15*k**3 - 18. Factor w(b).
(b - 2)*(5*b - 1)**2*(5*b + 1)
Facto