3*f**2. Suppose w(u) = 0. What is u?
-1, 5
Let x(z) be the first derivative of -2*z**5/45 - 5*z**4/2 - 86*z**3/9 - 127*z**2/9 - 28*z/3 + 88. Determine a so that x(a) = 0.
-42, -1
Let t(n) = 2*n + 13*n - 6 + 0*n**2 + n**2 - 7*n. Let w be t(-9). Solve -k + 16*k**w - 18*k**2 - 12*k**4 + 11*k**3 + 4*k = 0 for k.
0, 1/4, 1
Find b such that 8*b**4 + 25*b**2 + b**2 - 64 - 64*b + 6*b**2 + 64*b**3 + 20*b**4 + 4*b**5 = 0.
-2, 1
Factor 0*i + 0 - 1/5*i**4 - 2*i**2 + 11/5*i**3.
-i**2*(i - 10)*(i - 1)/5
Suppose 20 = 6*u - 5*u. Factor -56 + 166*d**2 + 20*d**4 - 97*d**2 + u*d + 172*d**3 + 84*d**2 + 75*d**2.
4*(d + 1)**2*(d + 7)*(5*d - 2)
Let d be (-14)/(-12) - (-28)/(-42). Let f(a) be the first derivative of d*a**2 + 2 + 2*a - 1/3*a**3. Solve f(l) = 0.
-1, 2
Suppose 2*w = -k + 93, -3*k - 3*w - 270 = -6*k. Suppose -k*c + 8 = -87*c. Factor -3*d**c - 1/4*d**5 + 0 - 13/4*d**3 - 3/2*d**4 - d.
-d*(d + 1)**2*(d + 2)**2/4
Factor -4*f**2 - 2/5*f**3 - 34/5*f - 16/5.
-2*(f + 1)**2*(f + 8)/5
Let r(o) be the second derivative of o**6/6 - 5*o**5/4 + 35*o**4/12 - 5*o**3/2 - 18*o + 2. Suppose r(j) = 0. Calculate j.
0, 1, 3
Let y(u) be the third derivative of -u**8/60480 - u**7/7560 - u**6/2160 + u**5/10 + 6*u**2. Let m(g) be the third derivative of y(g). Factor m(q).
-(q + 1)**2/3
Let s be (153/(-306))/(19/(-4) - -1). Suppose s*a**2 + 2/15*a + 0 = 0. Calculate a.
-1, 0
Let b(y) be the second derivative of -y**5/80 + 65*y**4/48 + 133*y**3/24 + 67*y**2/8 + 12*y. Factor b(l).
-(l - 67)*(l + 1)**2/4
Let a = 175 + -135. Let n be (2 - a/18)/(16/(-12)). Find l such that 0*l + 0 + 1/6*l**3 - n*l**2 = 0.
0, 1
Let f(w) be the first derivative of 4*w**5/5 + 5*w**4 + 32*w**3/3 + 8*w**2 + 38. Suppose f(d) = 0. Calculate d.
-2, -1, 0
Let l(o) be the second derivative of -o**5/5 + 2*o**4/3 + 2*o**3 + 2*o + 1. Determine s so that l(s) = 0.
-1, 0, 3
Let w be 892/5460 - (-26)/(-169). Let o(x) be the third derivative of -1/6*x**4 + 0 - 1/30*x**5 + 0*x + w*x**6 - 1/7*x**3 - 2*x**2. Solve o(b) = 0.
-1, -1/4, 3
Find h such that -9*h - 3/2*h**2 + 21/2 = 0.
-7, 1
Let d = 43807/16422 - 5/5474. Let d - 8/3*w**2 - 4/3*w**3 + 4/3*w = 0. Calculate w.
-2, -1, 1
Let h = -113 - -453/4. Factor 0*t + h*t**2 + 0.
t**2/4
Let s(n) be the second derivative of -4/9*n**3 + 0 - 1/6*n**5 + 4/9*n**4 + 1/45*n**6 + 0*n**2 - 13*n. What is t in s(t) = 0?
0, 1, 2
Let a = 6 - 4. Suppose -3*v + 11 = 5*u, a*v + 2*u + 6 = 6*v. What is s in -15*s**4 + 5*s**2 + 13*s + v*s + 5*s**2 - 10*s**3 - 5*s**5 + 5 = 0?
-1, 1
Let s(i) be the second derivative of 9*i**5/40 + 13*i**4/4 + 15*i**3/4 - 6*i**2 - 111*i. Factor s(x).
3*(x + 1)*(x + 8)*(3*x - 1)/2
Suppose -16*l = -415 + 383. Find g, given that -6/5*g - 2/5*g**l - 4/5 = 0.
-2, -1
Let l(o) be the second derivative of o**7/42 + 37*o**6/210 + 19*o**5/70 + 2*o**4/21 - o - 1. Solve l(a) = 0.
-4, -1, -2/7, 0
Let h be ((-13)/(-8))/(12*-1 + (-2156)/(-176)). Factor -1/2*j**2 + 7*j - h.
-(j - 13)*(j - 1)/2
Let j be ((-4)/(-8))/(-1) + 75/110. What is m in 0 - 2/11*m**3 + 2/11*m**4 + j*m - 2/11*m**2 = 0?
-1, 0, 1
Find b such that -19/3*b**3 + 2*b**2 + 2/3*b**4 + 0*b + b**5 + 0 = 0.
-3, 0, 1/3, 2
Let b(a) be the second derivative of 0 + a**3 - 13*a - 3/10*a**5 - 5/6*a**4 + 1/15*a**6 + 4*a**2. Solve b(y) = 0 for y.
-1, 1, 4
Let p(x) be the third derivative of x**9/12096 - x**8/4032 + x**5/3 - 8*x**2. Let h(c) be the third derivative of p(c). Let h(j) = 0. What is j?
0, 1
Let -1/4*b**3 + 15/4*b**2 + 12 - 31/2*b = 0. Calculate b.
1, 6, 8
Let t(i) be the first derivative of -i**5/270 - i**4/54 + i**3/9 - 11*i**2 - 33. Let k(y) be the second derivative of t(y). Let k(h) = 0. Calculate h.
-3, 1
Let j = -3/2 + 2. Suppose -6*l - 49 + 61 = 0. Find p, given that j - 7/2*p + l*p**4 - 13/2*p**3 + 15/2*p**2 = 0.
1/4, 1
Let y = 344 + -344. Let o(f) be the second derivative of -1/100*f**5 + y*f**2 - 2/75*f**6 + 1/30*f**3 - 5*f + 0 + 1/15*f**4. Factor o(k).
-k*(k - 1)*(k + 1)*(4*k + 1)/5
Let t(m) = -3*m - 22. Let x be t(-9). Suppose -14 = -3*g - x. Suppose 0*y**4 + 0 + 0*y + 3/5*y**g + 0*y**2 - 3/5*y**5 = 0. Calculate y.
-1, 0, 1
Let d(j) be the second derivative of 2*j**2 + 7/3*j**4 - 9/10*j**5 + 0 + 2/15*j**6 - 3*j**3 - 8*j. Find o, given that d(o) = 0.
1/2, 1, 2
Let x(c) be the first derivative of 5*c**6/6 + 6*c**5 + 55*c**4/4 + 10*c**3 + 110. Factor x(t).
5*t**2*(t + 1)*(t + 2)*(t + 3)
Let p(u) be the first derivative of 3*u**5/40 - 27*u**4/32 + 9*u**3/8 + 147*u**2/16 + 45*u/4 - 430. Factor p(w).
3*(w - 6)*(w - 5)*(w + 1)**2/8
Let x(i) be the third derivative of i**7/35 + i**6/8 - i**5/5 - 3*i**4/8 - 4*i**2 + 16. Find b such that x(b) = 0.
-3, -1/2, 0, 1
Let q(u) be the second derivative of u**7/168 + u**6/40 - 9*u**5/80 + 5*u**4/48 + 2*u - 114. Solve q(f) = 0.
-5, 0, 1
Suppose 0 = -2*o + 1 + 5. Let m be o + 0 - 3/3. What is j in 1 - j**3 - j**2 + 2*j**m - 1 = 0?
0, 1
What is r in 20087*r - 838*r**2 - 242*r**2 - 149687*r - 5184000 - 3*r**3 + 0*r**3 = 0?
-120
Let r(h) be the second derivative of -h**6/15 - 11*h**5/10 + 25*h**4/6 - 13*h**3/3 + 336*h. Factor r(m).
-2*m*(m - 1)**2*(m + 13)
Let o(r) = r**2 + r + 2. Let f(b) = 2*b**2 + 124*b - 1792. Let s(l) = -f(l) + 4*o(l). Solve s(d) = 0.
30
Factor 72*p**4 - 2*p**2 + 17*p**2 - 37*p**3 - 19*p**4 - 21*p**4 - 18*p**4.
p**2*(2*p - 1)*(7*p - 15)
Let a(j) be the first derivative of j**4/36 + 5*j**3/18 + j**2 - 5*j + 26. Let p(d) be the first derivative of a(d). Factor p(z).
(z + 2)*(z + 3)/3
Let i(g) be the third derivative of -g**7/2520 - g**6/450 + g**5/150 + 7*g**4/6 + 24*g**2. Let x(w) be the second derivative of i(w). Factor x(h).
-(h + 2)*(5*h - 2)/5
Let c be 1 + 6 + -10 + 17/5. Let o(y) be the second derivative of 1/2*y**4 + 0 - 1/14*y**7 - 9*y + c*y**6 + 0*y**3 + 0*y**2 - 3/4*y**5. Factor o(k).
-3*k**2*(k - 2)*(k - 1)**2
Find m, given that 0 - 2/3*m**4 + 216*m - 102*m**2 + 44/3*m**3 = 0.
0, 4, 9
Let l = 1/88 - 19/2640. Let c(h) be the third derivative of 1/240*h**6 - h**2 + 0*h**4 + 0*h**3 - 1/840*h**7 + 0*h + 0 - l*h**5. Find i such that c(i) = 0.
0, 1
Factor -2/3*i**2 + 28/3 - 10/3*i.
-2*(i - 2)*(i + 7)/3
Determine f so that 8*f + 14*f**3 - 34*f**3 - 10*f**4 - 14*f**4 - 7*f**2 + 19*f**2 = 0.
-1, -1/2, 0, 2/3
Let m be (-7)/(-4) + (-2)/(-8). Let q(s) be the first derivative of -3/2*s**m + 3/4*s**4 - 1 + 5/3*s**3 - s - 4/5*s**5. Factor q(i).
-(i - 1)**2*(i + 1)*(4*i + 1)
Suppose 4*y + 19 = m, -13*m + 11 = -16*m - 5*y. Let 0 + 0*b + 1/2*b**m + 1/4*b**2 = 0. Calculate b.
-1/2, 0
Let z be (-6 - -5 - 5) + 9. Let u(p) be the second derivative of 1/7*p**2 - 8*p + 0 + 2/21*p**z + 1/42*p**4. Solve u(k) = 0.
-1
Let n(k) be the second derivative of -k**4/18 + 73*k**3/9 - 142*k**2/3 + 7*k - 23. Factor n(q).
-2*(q - 71)*(q - 2)/3
What is h in 48*h + 18 - 28*h**2 + 20*h**2 + 40*h**2 = 0?
-3/4
Suppose -i - 30 = 12*i - 147. Factor -1/4*q**3 - 6*q - i + 11/4*q**2.
-(q - 6)**2*(q + 1)/4
Factor 6*o - 3*o**2 - 2 + 5*o**2 - 79*o**3 + 73*o**3.
-2*(o - 1)*(o + 1)*(3*o - 1)
Suppose -4 = -j - 2. Factor 7*z + 39*z**j - 34*z**2 - 12*z.
5*z*(z - 1)
Let u = 13 - 11. Let n = -7 + 11. Determine j so that 6*j**u - 5*j**3 + 6*j**3 - n*j**3 = 0.
0, 2
Let y = 1174 - 1170. Let i(x) be the third derivative of 1/60*x**6 - 1/105*x**7 + 0*x**3 + 8*x**2 - 1/12*x**y + 1/30*x**5 + 0 + 0*x. Factor i(d).
-2*d*(d - 1)**2*(d + 1)
Let n(o) be the third derivative of o**7/140 + 13*o**6/160 + 3*o**5/10 + 9*o**4/32 - 111*o**2 - 1. Factor n(f).
3*f*(f + 3)**2*(2*f + 1)/4
Let s(u) be the first derivative of 2*u**3/15 - 2*u**2/5 - 6*u/5 + 374. Factor s(h).
2*(h - 3)*(h + 1)/5
Determine h, given that -20/3*h**2 - 15 + 65/3*h = 0.
1, 9/4
Let l = 2721/34 - 1338/17. Let m = l - -3/17. Find k such that k + 3/2*k**4 - m*k**2 - 1/2*k**3 + 0 - 1/2*k**5 = 0.
-1, 0, 1, 2
Factor -1/2*n**3 + 10*n + 19/2*n**2 + 0.
-n*(n - 20)*(n + 1)/2
Let x be (-10248)/(-610)*(2 - -3)/30. Solve 2 + x*n**2 + 22/5*n + 2/5*n**3 = 0.
-5, -1
Let f be -12 + 23 + (-720)/70. Solve -4/7*r + 0 - 1/7*r**2 + f*r**3 = 0 for r.
-4/5, 0, 1
Let r(o) = 2*o**3 - 5*o**2 + 18*o - 12. Let j be r(1). What is n in 2/5*n**4 + 0*n**j + 0*n**2 + 0*n + 0 = 0?
0
Let r = 1035 + -1030. Let l(g) be the first derivative of -4/15*g**r - 4/9*g**3 + 0*g**2 - 12 + 2/3*g**4 + 0*g. Solve l(j) = 0.
0, 1
Let b(n) be the first derivative of n**3/18 - 2*n**2/3 + 7*n/6 + 92. S