ermine h so that 1/3*h - 1/3*h**u + 0 = 0.
0, 1
Let d(o) = o**2 + 5*o + 2. Let v(w) = -2*w + 5. Let u be v(5). Let b be d(u). Factor -3 + 4 + b*a**2 - 3.
2*(a - 1)*(a + 1)
Factor 12/11 - 10/11*a + 2/11*a**2.
2*(a - 3)*(a - 2)/11
Let i be 0/(1/(-1) + 0). What is q in q**3 + i*q**3 - 3*q**3 + 2*q**2 = 0?
0, 1
What is t in 0 - 12/7*t**3 + 12/7*t**2 + 3/7*t**4 + 0*t = 0?
0, 2
Let b(z) be the first derivative of -z**4/4 + z**2/2 - 1. Determine x, given that b(x) = 0.
-1, 0, 1
Let z = 627/4 + -156. Let k(w) be the first derivative of -1 + 7/2*w**2 + 2*w + z*w**4 + 8/3*w**3. Find g such that k(g) = 0.
-1, -2/3
Suppose 6 = -8*l + 22. Let h(v) be the third derivative of -v**l + 0*v - 1/30*v**5 + 0 + 1/100*v**6 + 0*v**3 + 1/30*v**4. Factor h(a).
2*a*(a - 1)*(3*a - 2)/5
Let f(z) be the third derivative of -7/120*z**4 + 0*z - 1/60*z**5 + 0 + 4*z**2 - 1/15*z**3. Factor f(u).
-(u + 1)*(5*u + 2)/5
Let u(n) be the third derivative of -n**5/210 + n**4/28 + 5*n**2. Solve u(m) = 0.
0, 3
Factor 1/2*a**5 + 1/2*a**2 + 0*a - 1/2*a**4 + 0 - 1/2*a**3.
a**2*(a - 1)**2*(a + 1)/2
Let l(y) be the second derivative of 0*y**3 + 1/108*y**4 + 1/270*y**5 + 3/2*y**2 + 0 - y. Let k(a) be the first derivative of l(a). Find n, given that k(n) = 0.
-1, 0
Let a = -9 + 15. Let d(j) be the second derivative of 0*j**2 - 1/105*j**a + 0*j**5 + 0*j**3 + 1/42*j**4 + 0 + 4*j. What is v in d(v) = 0?
-1, 0, 1
Let g(p) be the second derivative of -p**4/12 + 2*p**3/3 - 3*p**2/2 + p. Factor g(a).
-(a - 3)*(a - 1)
Let f be 14/4 + 3/6*3. Let r(v) be the first derivative of -3/5*v**2 + 4/15*v**3 + 1/5*v**4 - 6/25*v**f + 2/5*v + 1/15*v**6 - 2. Let r(k) = 0. What is k?
-1, 1
Let 0 + 0*h - 21/4*h**3 - 3/2*h**2 = 0. Calculate h.
-2/7, 0
Let a = -1 - -1. Let r be (-81)/(-105) + 17/(-85). Let r*y + a + 30/7*y**2 + 8*y**3 = 0. What is y?
-2/7, -1/4, 0
Let k(q) be the second derivative of -2*q**6/5 + 27*q**4/4 + 25*q**3/2 + 9*q**2 + 28*q. Determine b, given that k(b) = 0.
-2, -1/2, 3
Factor 9*v**2 - 8*v - v**2 - 4*v**4 + 8*v**2 - 4*v**2.
-4*v*(v - 1)**2*(v + 2)
Factor 2/3*g**4 + 0 + 0*g**2 + 0*g + 0*g**3 - g**5.
-g**4*(3*g - 2)/3
Let t(x) be the third derivative of x**6/24 - x**5/4 + 5*x**4/8 - 5*x**3/6 + 12*x**2. Let t(g) = 0. Calculate g.
1
Suppose 36*c = 33*c. Let i(j) be the third derivative of c - 1/210*j**5 + 0*j**4 + 2*j**2 + 1/21*j**3 + 0*j. Solve i(v) = 0.
-1, 1
Let v(b) = b**4 + b**3 - b**2 - b + 1. Let j(k) = -2*k**5 - 12*k**3 + 8*k**2 + 6*k - 6. Let a(m) = j(m) + 6*v(m). Factor a(p).
-2*p**2*(p - 1)**3
Solve 7/6*u**5 + 4/3*u**2 - 17/3*u**3 + 19/6*u**4 + 0*u + 0 = 0 for u.
-4, 0, 2/7, 1
Determine m so that 3/2*m**2 + 0 - 1/4*m = 0.
0, 1/6
Let t be (-23)/(-15) - 2*(-4)/(-40). Factor -5/3*k**2 - 1/3*k**4 + 2/3*k + 0 + t*k**3.
-k*(k - 2)*(k - 1)**2/3
Let j(s) be the third derivative of 0*s**3 + 0 - 1/8*s**4 + 5/224*s**8 + 1/20*s**7 - 7/40*s**5 - 3/80*s**6 + 0*s + 3*s**2. Find r, given that j(r) = 0.
-1, -2/5, 0, 1
Let l = 5 - 2. Suppose 3*m - 24 = -5*p, -l*m + 9*p - 6 = 4*p. Factor 1/2*h**5 + 0*h + 0*h**2 + 0*h**4 - 1/2*h**m + 0.
h**3*(h - 1)*(h + 1)/2
Find k, given that -8*k**2 + 9*k**2 - 4*k**2 + 3*k**4 = 0.
-1, 0, 1
Let z(u) be the third derivative of 0*u - 4/945*u**7 + 0*u**3 - 2/135*u**5 - 2*u**2 - 1/90*u**6 - 1/1512*u**8 - 1/108*u**4 + 0. Factor z(i).
-2*i*(i + 1)**4/9
Let g(s) = s**4 - s**2 + 1. Let z(w) = w**5 + 5*w**4 + 25*w**3 + 41*w**2 + 28*w + 5. Let l(o) = 6*g(o) + 2*z(o). Suppose l(b) = 0. What is b?
-2, -1
Let g(h) be the first derivative of 1/10*h**5 + 1/6*h**4 + 1 - h**2 - 2*h - 1/3*h**3. Let t(q) be the first derivative of g(q). Suppose t(i) = 0. What is i?
-1, 1
Let h(w) be the third derivative of w**5/12 + 5*w**4/6 - 16*w**2. Factor h(q).
5*q*(q + 4)
Suppose 15 = p - 6*p. Let n be 0/p + (8 - 1). Suppose -10*u**4 + u - 2*u - 4 + 14*u**2 + 0*u**2 - 6*u**3 + n*u = 0. Calculate u.
-1, 2/5, 1
Let g(r) be the third derivative of 25*r**8/336 - r**6/30 - 2*r**2. Solve g(h) = 0 for h.
-2/5, 0, 2/5
Let u be ((6/21)/(-1))/((-9)/21). Determine h so that 0*h**3 + 2/3*h**4 - 1/3*h**5 + 0 - u*h**2 + 1/3*h = 0.
-1, 0, 1
Let s(m) be the first derivative of -m**6/30 + m**5/12 - m**4/24 - 5*m**2/2 - 6. Let o(a) be the second derivative of s(a). Factor o(r).
-r*(r - 1)*(4*r - 1)
Let n(t) be the third derivative of 1/30*t**5 + 1/48*t**8 + 11/120*t**6 + 0 + 8/105*t**7 + 0*t + 0*t**3 + 0*t**4 + 4*t**2. Find v, given that n(v) = 0.
-1, -2/7, 0
Let l(u) be the third derivative of -u**6/6 - 2*u**5/15 + u**4/2 - 25*u**2. Find y, given that l(y) = 0.
-1, 0, 3/5
Let a(o) be the third derivative of -2*o**2 + 0*o**3 + 0 + 1/66*o**5 + 1/66*o**4 + 1/220*o**6 + 0*o. Determine d so that a(d) = 0.
-1, -2/3, 0
Let u(n) = -8*n**3 + 266*n**2 + 3528*n + 16464. Let q(o) = -3*o**3 + 89*o**2 + 1176*o + 5488. Let d(x) = -14*q(x) + 5*u(x). Factor d(k).
2*(k + 14)**3
Let o(b) be the first derivative of 3/2*b**2 + 0*b - 3/4*b**4 + 3/5*b**5 - b**3 - 1. Factor o(g).
3*g*(g - 1)**2*(g + 1)
Suppose 2*o - 17 = -5*c, -5 = -c - 0*o - 2*o. Suppose -4*g + 24 = b, 0 = 2*g + c*b + 2*b + 6. Factor 4*u**2 + g - 6 - 5*u**2.
-(u - 1)*(u + 1)
Let g(t) = -t. Let p(r) = -7*r**2 + 4*r. Let i(c) = 2*g(c) + p(c). Solve i(z) = 0.
0, 2/7
Let t = -6/7 + 37/35. Suppose -t*b - 1/5*b**2 + 2/5 = 0. Calculate b.
-2, 1
Let y(z) be the third derivative of z**6/1440 + z**5/480 - z**4/48 + z**3/3 - 3*z**2. Let o(h) be the first derivative of y(h). Factor o(d).
(d - 1)*(d + 2)/4
Let n(q) be the third derivative of -3*q**2 + 2/5*q**5 + 0*q + 0 + 1/8*q**6 + 0*q**3 - 1/2*q**4. Determine m, given that n(m) = 0.
-2, 0, 2/5
Let c(f) be the second derivative of -f**7/105 + 7*f**6/75 - 19*f**5/50 + 5*f**4/6 - 16*f**3/15 + 4*f**2/5 + 6*f. Let c(t) = 0. What is t?
1, 2
Let g(n) = -10*n**3 + 2*n + 1. Let k be g(-1). Suppose 0 = 3*q + 4*t - t - k, 3*t = q + 1. Solve h**4 - 4*h**2 - h + h**5 + h**4 + 2*h**q = 0 for h.
-1, 0, 1
Let q(i) be the third derivative of i**7/1260 - i**6/720 - i**5/360 + i**4/144 - 2*i**2. Factor q(r).
r*(r - 1)**2*(r + 1)/6
Let t(a) be the first derivative of -a**7/315 + a**6/180 + a**2 + 1. Let d(n) be the second derivative of t(n). Solve d(j) = 0 for j.
0, 1
Suppose 0 = -2*h + 2 + 2. Factor 0 + h + 7*p**2 - 5*p**2 - 4.
2*(p - 1)*(p + 1)
Let w(p) = 3*p**3 + p - p**2 + 3*p**3 - 3*p**3 - 4*p**3. Let c(u) = -15*u**3 - 6*u**2 + 9*u. Let d(v) = c(v) - 12*w(v). Factor d(h).
-3*h*(h - 1)**2
Let m(k) = 18*k + 113. Let v be m(-6). Factor -1/2*q**v - 1/2*q + 0*q**4 + 0*q**2 + q**3 + 0.
-q*(q - 1)**2*(q + 1)**2/2
Let z be (11 + -3)/(2/1). Suppose g - 2 = 0, z*i - 2*g - 14 = g. Find m, given that 6*m**3 + 0*m**5 - m**i - 9*m**3 + m**2 + 3*m**4 = 0.
0, 1
Factor -1/3 + 1/3*l**3 + 7/6*l - 7/6*l**2.
(l - 2)*(l - 1)*(2*l - 1)/6
Let i = -1861/9 - -207. Let 4/9*q**2 - i*q**3 + 0 + 0*q = 0. Calculate q.
0, 2
Let g(j) = -j**5 + j**4 - 2*j**3 + j - 3. Let r(f) = 14*f**3 - 14*f**3 - f**2 - 1 + f**4 - f**5. Let o(m) = -g(m) + 2*r(m). Factor o(d).
-(d - 1)**3*(d + 1)**2
Determine j, given that -3*j**2 - 3/2 - 15/4*j - 3/4*j**3 = 0.
-2, -1
Solve -2 + m + 0*m**3 - 3*m**3 - 9*m**2 + 13*m**2 = 0 for m.
-2/3, 1
Let c(g) be the first derivative of 2*g**3/57 + 4*g**2/19 + 14. Factor c(v).
2*v*(v + 4)/19
Let t(q) be the first derivative of q**6/33 - 8*q**5/55 + 3*q**4/11 - 8*q**3/33 + q**2/11 + 26. Let t(k) = 0. What is k?
0, 1
Let y(v) be the first derivative of 21*v**5/25 + 17*v**4/10 - 4*v**3/3 - 4*v**2/5 + 17. Let y(d) = 0. Calculate d.
-2, -2/7, 0, 2/3
Suppose 3*a + 13 - 4 = 0. Let u be (66/44)/(a/(-4)). Factor 8/11 + 8/11*r + 2/11*r**u.
2*(r + 2)**2/11
Let y(s) be the second derivative of -s**9/2016 + s**8/560 - s**7/1680 - s**6/240 + s**4/3 + 3*s. Let d(b) be the third derivative of y(b). Factor d(p).
-3*p*(p - 1)**2*(5*p + 2)/2
Suppose 4/5*c**2 + 0*c + 6/5*c**3 + 0 = 0. What is c?
-2/3, 0
Let n(w) be the first derivative of -1/12*w**3 + 0*w**4 + 0*w + 0*w**2 + 2 + 1/20*w**5. Factor n(k).
k**2*(k - 1)*(k + 1)/4
Let l be 2 + 0/2*5/15. Let k(u) be the second derivative of -3*u + 0*u**3 + 0*u**l + 0*u**5 + 0*u**4 + 0 - 1/30*u**6. Determine w, given that k(w) = 0.
0
Let g(y) = y + 9. Let x be g(0). Suppose 20 = -6*a + 11*a. Factor -6*m**2 + 1 + 15*m**3 - 3*m + 0*m**5 + 19*m**4 - 5*m**3 + x*m**5 + 2*m**a.
(m + 1)**3*(3*m - 1)**2
Let w(m) be the third derivative of 0*m -