ond derivative of 0 - 1/30*h**4 - 3*h - 4/5*h**2 + 4/15*h**3. Factor w(r).
-2*(r - 2)**2/5
Let n(q) = 3*q - 10. Let u be n(7). Let 9*i - 5 - 3*i**4 + u - 3*i**2 + 0*i**4 - 9*i**3 = 0. What is i?
-2, -1, 1
Suppose 3*f - 21/4*f**5 + 3*f**2 + 39/2*f**4 - 81/4*f**3 + 0 = 0. What is f?
-2/7, 0, 1, 2
Let a(p) be the first derivative of -4/7*p + 1/7*p**2 + 2/21*p**3 - 4. Solve a(y) = 0.
-2, 1
Let a(m) be the second derivative of m**8/4480 + m**7/1680 + m**4/2 + 3*m. Let g(y) be the third derivative of a(y). Suppose g(t) = 0. What is t?
-1, 0
Let b(n) be the first derivative of -n**4/12 + n**3/3 + 6*n + 3. Let u(q) be the first derivative of b(q). What is k in u(k) = 0?
0, 2
Let a be (-537)/90 + 7 + 4/24. Factor -18/5*s**3 + 16/5*s - a*s**2 + 8/5.
-2*(s - 1)*(3*s + 2)**2/5
Let k = -14 + 20. Let g be (-16)/90*(-15)/k. Factor 2/9*b**2 + g*b + 2/9.
2*(b + 1)**2/9
Let z(r) = r - 9. Let l be z(12). Find t, given that -t**2 - 11*t**2 - 2*t + 14*t + l*t**3 = 0.
0, 2
Let a(o) be the third derivative of -o**7/1050 - o**6/600 + o**5/100 + o**4/24 + o**3/15 + 3*o**2. Factor a(v).
-(v - 2)*(v + 1)**3/5
Let z be (-50)/525 + 44/21. Suppose -4/3*v**z + 0 + 2/3*v + 4/3*v**4 + 0*v**3 - 2/3*v**5 = 0. What is v?
-1, 0, 1
Let b be ((2 + -6)*-1)/(-2). Let a = 4 - b. Factor m**5 - 3*m**3 + m**5 - 3*m**2 + 5*m**2 + a*m**4 + 9*m**3.
2*m**2*(m + 1)**3
Let n = -16 - -3. Let a be n/(-4) - 2/8. Solve 2*s**a + 3*s**3 + s + 5*s - 2 - 3*s**3 - 6*s**2 = 0.
1
Let w(u) be the second derivative of u**6/65 + 4*u**5/65 + 7*u**4/78 + 2*u**3/39 + 24*u. Find f, given that w(f) = 0.
-1, -2/3, 0
Let b be -1 + 9/(306/40). Let z = b - -45/34. Factor 1 - z*f**2 - 1/2*f.
-(f + 1)*(3*f - 2)/2
Let i(r) be the first derivative of r**5/5 + 7*r**4/2 - 16*r**3 + 25*r**2 - 17*r - 5. Find c such that i(c) = 0.
-17, 1
Let i = -37/24 + 15/8. Let l(a) be the first derivative of 2 - i*a**2 + 2/9*a**3 + 0*a. Suppose l(r) = 0. What is r?
0, 1
Let l(u) be the third derivative of 9*u**2 + 0 + 0*u**3 - 1/945*u**7 + 1/270*u**5 + 1/108*u**4 + 0*u - 1/540*u**6. Factor l(z).
-2*z*(z - 1)*(z + 1)**2/9
Suppose 2*b = -0*b - 5*p, 0 = 5*b - 4*p. Let w(z) be the first derivative of 6/35*z**5 + 0*z - 2/21*z**3 - 1 + b*z**2 + 1/7*z**4. Solve w(n) = 0.
-1, 0, 1/3
Let c be (-11)/44 - 34/(-8). Let u(m) = 3*m**2. Let d be u(-1). Factor 0 + c*q**2 - 4/3*q - 3*q**d.
-q*(3*q - 2)**2/3
Let h = 16 - 14. Factor 3*s - 4*s**3 + 3*s**2 + 5*s - 7*s**h + 0*s.
-4*s*(s - 1)*(s + 2)
Let u(n) = -5*n**3 + 9*n**2 + 5*n + 3. Let d(a) = 11*a**3 - 19*a**2 - 9*a - 7. Let o(s) = 3*d(s) + 7*u(s). What is q in o(q) = 0?
-1, 0, 4
Let i(g) be the second derivative of -3*g**5/8 + g**4 - g**3/4 - 3*g**2/2 + 27*g. Factor i(t).
-3*(t - 1)**2*(5*t + 2)/2
Suppose 7*i - 12 = 4*i. Let x = 2344/9 - 260. Factor -x*o**i - 2/9*o + 0 + 4/9*o**2 + 2/9*o**5 + 0*o**3.
2*o*(o - 1)**3*(o + 1)/9
Let l be (-150)/180*4/(-5). What is u in l*u**3 + 0*u + 0 + 4/3*u**2 = 0?
-2, 0
Let k be (-3)/2*(-4)/3. Let d = 4 - k. Solve -8*g**2 + 2*g**d + 4*g**2 + 2*g**3 = 0.
0, 1
Let g(q) be the first derivative of 0*q + 0*q**2 + 2/7*q**4 + 8/21*q**3 + 2/35*q**5 + 6. Factor g(w).
2*w**2*(w + 2)**2/7
Let s(u) be the second derivative of -1/9*u**3 - 3*u - 1/45*u**6 + 0*u**2 + 1/18*u**4 + 0 + 1/30*u**5. Suppose s(v) = 0. Calculate v.
-1, 0, 1
Determine f, given that 2*f**2 - f**3 + 0*f**3 - 4*f**2 + 3*f**2 = 0.
0, 1
Let g = -1 + 10. Factor 3*h**3 - 3*h**3 + g*h**3 + 3*h**4.
3*h**3*(h + 3)
Let r(y) = y + 13. Let x be ((-20)/(-6))/(8/(-24)). Let q be r(x). Factor -i - 4*i**2 + 2 + q*i**2 + 0*i + 0*i**2.
-(i - 1)*(i + 2)
Let z(x) = -2*x**3 + 4*x**2 + 3*x. Let v(c) = -3*c**3 + 7*c**2 + 5*c. Let u(h) = -3*v(h) + 5*z(h). Find q, given that u(q) = 0.
-1, 0
Suppose -2*s = -33 + 25. Solve 3/4*t**5 + 0 - 3/2*t**2 + 0*t + 0*t**s - 9/4*t**3 = 0 for t.
-1, 0, 2
Let j(i) be the second derivative of 0*i**2 + 1/36*i**4 + 0 + 0*i**3 - 3*i. Suppose j(b) = 0. What is b?
0
Suppose -2*t + 5*t + 5*a = 25, -5*t - 5*a + 25 = 0. Let n be (1 - (t - -1))/(-2). Let 0*y + n*y**2 + 0 + 0*y**4 + 2/3*y**3 - 2/3*y**5 = 0. Calculate y.
-1, 0, 1
Let w(b) be the second derivative of -2*b**6/45 - 11*b**5/90 + 2*b**4/27 + 4*b**3/27 - 18*b. Solve w(j) = 0.
-2, -1/2, 0, 2/3
Let g = -5423/5 - -1085. Suppose g*h - 1/5*h**2 - 1/5 = 0. What is h?
1
Let g(i) = i**3 - i + 1. Let x(m) = 16*m**3 + 2*m**3 + 0*m**3 - m + 24 - 17*m - 2*m**4. Let q(p) = 44*g(p) - 2*x(p). Factor q(v).
4*(v - 1)*(v + 1)**3
Let c(o) be the first derivative of 1 - 2/15*o**3 + 0*o**2 - 2/25*o**5 + 1/5*o**4 + 0*o. Factor c(m).
-2*m**2*(m - 1)**2/5
Let d(v) = 3*v**5 + 2*v**4 + v**3 - 2*v. Let h(n) = -n**5 - 2*n**3 - n - 9*n**4 + 10*n - 3*n**3 - 12*n**5. Let r(a) = -9*d(a) - 2*h(a). What is j in r(j) = 0?
-1, 0, 1
Let l(p) = 2*p. Let k(n) = n**2 + 9*n + 1. Let m(a) = 2*k(a) - 11*l(a). Solve m(y) = 0.
1
Find v such that 0*v**2 + 1/3*v**5 + 0*v + 0 + 2/3*v**4 + 1/3*v**3 = 0.
-1, 0
What is g in 3*g**2 + 12/5 - 3/5*g**3 - 24/5*g = 0?
1, 2
Let m(a) be the second derivative of a**5/60 - a**4/9 + 5*a**3/18 - a**2/3 - 27*a. Factor m(y).
(y - 2)*(y - 1)**2/3
Let f(a) be the third derivative of 0*a + 0 + 1/72*a**4 + 1/180*a**5 + 0*a**3 - 8*a**2. Factor f(m).
m*(m + 1)/3
Let z(n) be the second derivative of -n**7/42 + n**5/10 - n**3/6 + 2*n. Let z(y) = 0. What is y?
-1, 0, 1
Suppose 23*x - 2 = 44. Factor 1/3*m + 0 + 7/6*m**x.
m*(7*m + 2)/6
What is a in 15*a**4 + 11*a**2 - 5*a - a**2 - 6*a**2 + 21*a**2 - 35*a**3 = 0?
0, 1/3, 1
Let o be (-844)/45 + 2/10. Let q = -55/3 - o. Suppose 0*l - q*l**3 + 2/9*l**5 + 0 - 2/9*l**4 + 2/9*l**2 = 0. What is l?
-1, 0, 1
Let h(s) = -s**2 + 4*s - 5. Let j(n) = -n + 1. Let t(v) = 4*h(v) + 20*j(v). Factor t(b).
-4*b*(b + 1)
Suppose 2*k - 12 + 2 = 4*o, 5*k = 2*o + 17. Factor -2*j + 5*j**k - 4*j**3 + 4*j**2 - 3*j**2.
j*(j - 1)*(j + 2)
Factor 3/2 - 1/2*z**2 - z.
-(z - 1)*(z + 3)/2
Let w(h) = -2*h**2 + 7*h - 1. Let c be w(3). Factor -1/3 + 1/3*f**c + 0*f.
(f - 1)*(f + 1)/3
Suppose 6*s + 3 - 15 = 0. Factor 48*d**s + 5 + 16*d + 11*d - 3*d - 2.
3*(4*d + 1)**2
Let c(t) be the first derivative of -t**7/945 + t**5/270 + 3*t**2 + 4. Let r(b) be the second derivative of c(b). Factor r(l).
-2*l**2*(l - 1)*(l + 1)/9
Let c(t) = 7*t**4 - 3*t**3 + 12*t**2 - 13*t + 2. Let u(w) = w**3 - w**2 - 4*w**4 - 1 - 5*w**2 + 8*w - w. Let m(g) = 3*c(g) + 5*u(g). Factor m(h).
(h - 1)**4
Let n(t) = -3*t - 2. Let y be n(2). Let r = 11 + y. Factor 1/2*u - 1/2*u**2 - 1/2*u**r + 1/2.
-(u - 1)*(u + 1)**2/2
Let l(f) = f + 6. Let n(d) = d + 6. Let i(s) = -3*l(s) + 4*n(s). Let p be i(0). Suppose 6*x + 30*x**2 + p*x**4 + 0 + 51/2*x**3 = 0. Calculate x.
-2, -1/4, 0
Let r be (1/2)/((-21)/1008). Let s be 2 + 0 + r/15. Factor -7/5*l - 2/5 - 7/5*l**2 - s*l**3.
-(l + 1)*(l + 2)*(2*l + 1)/5
Let d be 74/45 + 368/(-828). Factor 0*b**2 - 3/5*b**4 - d*b + 6/5*b**3 + 3/5.
-3*(b - 1)**3*(b + 1)/5
Let j(r) be the third derivative of r**7/112 - 31*r**6/960 - r**5/48 + 7*r**4/48 - r**3/6 - 25*r**2. Find y, given that j(y) = 0.
-1, 2/5, 2/3, 2
Let j = 27 + -18. Let r = 17 - j. Let -r*z + 2*z + 8*z**2 + 0*z - 2 = 0. What is z?
-1/4, 1
Let j = 10 - 6. Let x(k) be the third derivative of k**2 - 1/30*k**5 + 0 + 0*k**3 - 1/60*k**6 + 0*k + 0*k**j. Factor x(y).
-2*y**2*(y + 1)
Let j(u) be the second derivative of -u**8/2240 + u**6/240 + u**4/6 - 4*u. Let t(b) be the third derivative of j(b). Factor t(l).
-3*l*(l - 1)*(l + 1)
Suppose -p + 6*p + 4*j - 35 = 0, 0 = -2*j + 10. Suppose -2*h = -p*h. Let -9*u**2 + 2*u - 6*u**4 + h*u + u**4 + 12*u**3 = 0. What is u?
0, 2/5, 1
Let n be 130/(-39) + 2 + 2. Suppose -2/3*v**2 - n - 4/3*v = 0. What is v?
-1
Factor 4/7*t + 5/7*t**2 + 0 + 1/7*t**3.
t*(t + 1)*(t + 4)/7
Let y = 11 + -8. Factor k**5 + 2*k**4 + k - y*k**5 + k**5 - 2*k**2.
-k*(k - 1)**3*(k + 1)
Let w(y) be the first derivative of -y**5/30 + y**4/4 - 2*y**3/3 - 3*y**2/2 + 3. Let m(t) be the second derivative of w(t). Let m(s) = 0. What is s?
1, 2
Let -1/4*c**2 + 0 - 1/4*c**4 - 1/2*c**3 + 0*c = 0. What is c?
-1, 0
Let a = -19 - -137/7. Let r(w) = -w**3 - 4*w**2 + 4*w - 5. Let u be r(-5). Factor 2/7*f**4 + 2/7 + u*f**3 + 0*f - a*f**2.
2*(f - 1)**2*(f + 1)**2/7
Let y(j) = -1 + 2*j**3 - 3*j**3 + 0*j**3. Let a(o) = -3 + 4*o**3 - 6*o**3 - 4*o**3 + o**2 - o**4 + 3*o**3. Let r(g) = 2*a(g) - 6*y(g). Factor r(f).
-2*f**2*(f -