h**2 = 0. What is h?
-1, 1
Let c(b) = -b**2 - 12*b + 4. Let z be c(-12). Find o, given that 15*o**3 - o**2 + o**z - 15*o**3 + 0*o**4 = 0.
-1, 0, 1
Let y be 4 - ((2 - 3) + 3). Factor 26*m**2 - 10 + y - 7*m**3 - 5*m**3.
-2*(m - 2)*(2*m + 1)*(3*m - 2)
Let d be 6/27*(-5)/(-5). Let f(b) be the first derivative of 1/3*b**2 + d*b**3 - 4 + 2/9*b + 1/18*b**4. Solve f(n) = 0 for n.
-1
Let p(r) = r**4 - 2*r**3 + 5*r**2 - 4*r. Let x be (9/6)/((-24)/(-16)). Let w(k) = 0*k**2 - k**2 - 3*k + 4*k + k**3. Let u(g) = x*p(g) + 4*w(g). Solve u(i) = 0.
-1, 0
Let s be -8*-1*(-3)/4. Let v(f) = -2*f**4 + 15*f**3 + 6*f**2 + 11*f - 17. Let i(m) = m**4 - 7*m**3 - 3*m**2 - 5*m + 8. Let l(j) = s*v(j) - 13*i(j). Factor l(k).
-(k - 2)*(k - 1)*(k + 1)**2
Let a(z) be the first derivative of 2*z - 4 + 1/2*z**4 + 3*z**2 + 2*z**3. What is q in a(q) = 0?
-1
Factor 3/2*l**4 + 0*l + 0 - 3*l**2 - 3/2*l**3.
3*l**2*(l - 2)*(l + 1)/2
Let o(l) be the first derivative of l**3 + 3*l**2 + 3*l + 10. Factor o(q).
3*(q + 1)**2
Let i(k) be the second derivative of 0 - 1/180*k**6 + 1/30*k**5 + k**2 - 1/18*k**4 + k + 0*k**3. Let j(q) be the first derivative of i(q). Factor j(n).
-2*n*(n - 2)*(n - 1)/3
Let n(i) be the first derivative of 5*i**3/3 + 25*i**2 + 45*i + 19. Factor n(j).
5*(j + 1)*(j + 9)
Let t(h) be the third derivative of -h**5/390 + h**3/39 + 31*h**2. Find b, given that t(b) = 0.
-1, 1
Let g(d) be the third derivative of 0*d**3 + 4*d**2 - 1/270*d**5 - 1/36*d**4 + 0 + 0*d. Factor g(k).
-2*k*(k + 3)/9
Let p(t) be the first derivative of 0*t**4 + 0*t + 0*t**2 - 1 - 1/15*t**5 + 1/9*t**3. Let p(n) = 0. Calculate n.
-1, 0, 1
Factor 0*j**3 - j**3 + 5*j**3 - 3*j**3.
j**3
Let u be -4*(6/(-3) - -1). Suppose 0*m**4 + 5*m**u - 2*m**4 + 6*m**3 - 6*m + 0*m**2 - 3*m**2 = 0. Calculate m.
-2, -1, 0, 1
Let a be (1/27)/(6/9). Let x(p) be the second derivative of 0*p**5 + 2*p + 0 - 1/18*p**3 + 0*p**2 + 1/126*p**7 - a*p**4 + 1/45*p**6. Factor x(o).
o*(o - 1)*(o + 1)**3/3
Let t(o) be the third derivative of -o**8/192 + o**7/420 + 7*o**6/240 - o**5/60 - 7*o**4/96 + o**3/12 - o**2. Let t(u) = 0. Calculate u.
-1, 2/7, 1
Determine c so that 1/2*c - 1/2*c**3 - 1/2 + 1/2*c**2 = 0.
-1, 1
Let b(d) = 7*d**4 - 9*d**3 - 7*d**2 + 9*d - 9. Let f(h) = 1 - h**4 - 7*h**2 + 8*h**2 + 6*h**3 - 5*h**3 - h. Let g(x) = 2*b(x) + 18*f(x). Solve g(i) = 0.
-1, 0, 1
Let k = 21 + -18. Let 34*n**k + 15*n**4 + n**3 + 6 - 10*n**3 + 33*n + 26*n**3 + 63*n**2 = 0. Calculate n.
-1, -2/5
Let n(o) = -o**5 + o**2 - o. Let a(d) = 4*d**2 - 1. Let f be a(1). Let z(r) = -f - r**2 + 3 + 2*r**4 - 2*r**5. Let s(c) = -n(c) + z(c). Solve s(t) = 0 for t.
-1, 0, 1
Suppose -5 = -m + 2*r, 0*m - 2*m + 2*r + 14 = 0. Find v, given that 2*v**3 + 1 - v + v**4 + m*v**5 + 0*v**2 - 10*v**5 - 2*v**2 = 0.
-1, 1
Find z such that -z**3 + 3*z**3 - 3*z + 20*z**2 - 26*z**2 - 5*z**3 = 0.
-1, 0
Let n(f) be the first derivative of -f**8/112 + f**7/70 + f**6/40 - f**5/20 - 3*f**2/2 - 2. Let v(y) be the second derivative of n(y). Factor v(z).
-3*z**2*(z - 1)**2*(z + 1)
Suppose -2*o - 1 = -3*l - 11, -2*o + 10 = -5*l. Suppose l = -3*f + m + 5 + 3, 0 = -2*m - 4. Factor 5*b**5 - 4*b**4 + 0*b**3 - 3*b**5 + f*b**3.
2*b**3*(b - 1)**2
Factor -3*m**3 - 25*m**4 + 2*m**5 + 0*m**5 - 3*m**3 + 21*m**4.
2*m**3*(m - 3)*(m + 1)
Let r(d) be the second derivative of -16*d**7/3 - 48*d**6/5 - 5*d**5/2 + 3*d**4/2 + 2*d**3/3 + 3*d. Determine u, given that r(u) = 0.
-1, -2/7, -1/4, 0, 1/4
Determine h, given that 0 - 4/3*h + 2/3*h**2 = 0.
0, 2
Let g(o) = 0*o**2 + o + 2*o**2 - 2*o. Let p be g(1). Suppose 2*s**2 + 1 - 4*s - p = 0. What is s?
0, 2
Let h(b) = 4*b**2 - 2*b + 6. Let r(j) = 3*j**2 - 2*j + 5. Let t = -1 - -6. Let w be 84/(-15) - 2/5. Let o(a) = t*h(a) + w*r(a). Factor o(v).
2*v*(v + 1)
Factor -2/5*p**4 + 4/5 + 6/5*p**2 + 2/5*p**3 - 2*p.
-2*(p - 1)**3*(p + 2)/5
Let k(h) = 8*h**4 + 32*h**3 + 8*h**2 - 8*h - 4. Let w(a) = -7*a**4 - 32*a**3 - 7*a**2 + 8*a + 5. Let i(s) = -5*k(s) - 4*w(s). Factor i(v).
-4*v*(v + 1)*(v + 2)*(3*v - 1)
Factor -w**2 - 3/5*w**3 + 4/5 + 4/5*w.
-(w - 1)*(w + 2)*(3*w + 2)/5
Let d be 102/(-180) + 4/6. Let l(b) be the second derivative of 0*b**3 - d*b**5 - 1/30*b**6 + 0*b**2 + b - 1/12*b**4 + 0. Factor l(q).
-q**2*(q + 1)**2
Let j(q) be the first derivative of 1/2100*q**7 + 0*q**5 + 0*q**2 + 0*q + 0*q**6 - 1/3*q**3 + 0*q**4 - 1. Let d(i) be the third derivative of j(i). Factor d(k).
2*k**3/5
Let u(k) be the first derivative of -k**5/60 + k**4/24 + k**3/3 - 2*k**2 - 3. Let x(n) be the second derivative of u(n). Suppose x(f) = 0. Calculate f.
-1, 2
Let g(i) be the first derivative of -i**4/4 + i**3/3 + 2*i**2 - 4*i + 6. Factor g(r).
-(r - 2)*(r - 1)*(r + 2)
Let p(a) be the first derivative of -a**5/10 + a**4/2 - a**3/2 + 27. Factor p(l).
-l**2*(l - 3)*(l - 1)/2
Let r(k) be the third derivative of -1/210*k**7 - 1/360*k**6 + 0*k**3 + 0*k**5 - 1/504*k**8 + 0*k + 0*k**4 + 0 + 8*k**2. Factor r(x).
-x**3*(x + 1)*(2*x + 1)/3
Let a(q) be the second derivative of -16/9*q**2 - 1/135*q**6 + 0*q**5 + 0*q**3 + 0 + 2*q + 4/27*q**4. Factor a(u).
-2*(u - 2)**2*(u + 2)**2/9
Let w(k) be the first derivative of k**6/105 - k**5/35 - k**4/14 + 4*k**3/21 + 4*k**2/7 + 2*k - 4. Let u(c) be the first derivative of w(c). Factor u(g).
2*(g - 2)**2*(g + 1)**2/7
Suppose 16*w = 14*w. Let l be 1/(-4) - (-69)/84. Suppose -l*m**3 + w - 2/7*m + 6/7*m**2 = 0. What is m?
0, 1/2, 1
Suppose 3*h + 5*i = -4, 6*i = -2*h + i - 6. Suppose -5*a = 5*k + 15, k + 1 = -h*a - 0. Suppose 4/11*t**3 - 4/11*t - 2/11*t**4 + 2/11 + 0*t**a = 0. Calculate t.
-1, 1
Let r(b) = 3*b**2 - b. Suppose -2*u + 3 = -4*q - 1, 0 = 3*q - 3*u + 9. Let a(i) = -i**2. Let l(n) = q*r(n) + 4*a(n). Factor l(h).
-h*(h + 1)
Let g(k) = 6*k**3 - 2*k**2 + 5*k. Let i(j) = -j**3 - j. Let w(l) = -g(l) - 5*i(l). Suppose w(h) = 0. What is h?
0, 2
Solve 4*h**4 + 4*h - 5*h**4 + 2*h**3 + 4*h**2 - 3*h**3 + 0*h = 0 for h.
-2, -1, 0, 2
Let f(i) be the third derivative of i**5/15 - i**4/3 + 2*i**3/3 + 30*i**2. Determine h so that f(h) = 0.
1
Let y = -4 + 4. Let m be 2/4 + (-14)/(-4). What is s in y + s**2 - s**m - 1 + s**2 = 0?
-1, 1
Factor m**2 - m**3 - 1/3*m**4 - 2 + 7/3*m.
-(m - 1)**2*(m + 2)*(m + 3)/3
Let o(r) = -r**2 - 6*r - 2. Let b be o(-4). Suppose i - 3*i + 5*y - 10 = 0, -5*i - 3*y = -b. Find n, given that 3*n - 9/2*n**2 + i = 0.
0, 2/3
Let i(b) be the third derivative of -b**6/12 - b**5/5 - b**4/12 + 2*b**2 + 23. Factor i(l).
-2*l*(l + 1)*(5*l + 1)
Let s(h) be the second derivative of 1/20*h**4 + 0 + 3/10*h**2 - 1/5*h**3 + 4*h. Factor s(z).
3*(z - 1)**2/5
Let v be (1 - -1) + 62/(-13). Let h = v + 111/26. What is n in h*n**5 + 0 + 0*n**2 + 2*n**4 + 1/2*n**3 + 0*n = 0?
-1, -1/3, 0
Let n(d) be the third derivative of -d**6/210 - 2*d**2. Suppose n(y) = 0. What is y?
0
Suppose 1/2*d**5 + 2*d**4 + 0*d + d**2 + 0 + 5/2*d**3 = 0. Calculate d.
-2, -1, 0
Let p(f) be the second derivative of -f**6/30 + f**5/20 + f**4/6 + f. Let p(h) = 0. What is h?
-1, 0, 2
Factor -596 - 83*a + 2*a**3 - 1404 + 683*a - 60*a**2.
2*(a - 10)**3
Suppose 2 - 1/4*g**5 + 3*g - 1/2*g**2 - 11/4*g**3 - 3/2*g**4 = 0. Calculate g.
-2, -1, 1
Let i(f) be the second derivative of -f**6/195 + 2*f**5/65 - 2*f**4/39 + 24*f. Factor i(u).
-2*u**2*(u - 2)**2/13
Let a be ((-6 - -3)/(-6))/(10 + 0). Let b(i) be the second derivative of 0 + 0*i**4 - 2*i + 0*i**2 + a*i**5 - 1/6*i**3. Determine l, given that b(l) = 0.
-1, 0, 1
Find s such that 2/7 - 6/7*s**4 - 8/7*s**3 + 4/7*s**2 + 8/7*s = 0.
-1, -1/3, 1
Let s be (5 - 8) + (-6)/(-2). Suppose 0 = -p - s*p + 2. What is y in 10*y - 5*y**2 + 4*y**3 - 5*y**2 + 2*y**p - 4 - 2*y**3 = 0?
1, 2
Let i = 1429/555 - 37/15. Let h = 46/259 + i. Factor h*f**3 - 2/7*f + 0*f**2 + 0.
2*f*(f - 1)*(f + 1)/7
Let c(n) = 5*n**2 + 4*n - 1. Let q(y) = 4*y**2 + 3*y - 1. Let u(w) = 5*c(w) - 6*q(w). Factor u(h).
(h + 1)**2
Let k = -614 - -49121/80. Let v(l) be the second derivative of 2*l - 1/24*l**3 + k*l**5 - 1/48*l**4 + 0 + 1/8*l**2. Factor v(w).
(w - 1)**2*(w + 1)/4
Solve -15*v + v**3 + 18 + 4*v**3 + 0*v**3 - 8 = 0 for v.
-2, 1
Let q be (-1 + 68/20)*-20. Let u be q/9 + 4 - -2. Find g, given that -4*g**4 + 16/3*g**2 - 4/3 + u*g - 2/3*g**3 = 0.
-1, -2/3, 1/2, 1
Suppose -2*k = 3*k - 60. Factor 3*p - p**2 - 4*p**2 + 2*p**2 - 6 - k*p.
-3*(p + 1)*(p + 2)
Let k(m) be the third derivative