**2 = 0.
0, 2/7
Suppose -48/5*u**3 - 8/5*u**2 + 0 - 18*u**4 - 10*u**5 + 0*u = 0. What is u?
-1, -2/5, 0
Let q(s) be the third derivative of s**8/504 - 2*s**7/315 + s**5/45 - s**4/36 - 8*s**2. Factor q(m).
2*m*(m - 1)**3*(m + 1)/3
Let f(s) be the first derivative of -2*s**6/3 - 4*s**5/5 + 2*s**4 + 8*s**3/3 - 2*s**2 - 4*s + 7. Solve f(y) = 0 for y.
-1, 1
Suppose -4*k - 3*k = 0. Let j(i) be the third derivative of 0*i + i**2 + 1/180*i**5 + 0*i**3 + 1/36*i**4 + k. Factor j(u).
u*(u + 2)/3
Let f(a) be the first derivative of 0*a - 1/40*a**6 + 0*a**3 - 1/4*a**4 - 3/20*a**5 + a**2 - 4. Let o(p) be the second derivative of f(p). Factor o(t).
-3*t*(t + 1)*(t + 2)
Let u(v) = -4*v**3 - 2*v - 3. Let y(a) = 8*a**2 + 2*a. Let b be y(-1). Let k(s) = 3*s**3 + s + 2. Let m(l) = b*k(l) + 4*u(l). Let m(d) = 0. Calculate d.
-1, 0, 1
Suppose 2*u**2 + 4*u**3 - 3*u**3 + u**2 + 3*u + 1 + 0*u**2 = 0. What is u?
-1
Factor 0 + 1/4*s**3 + 0*s**2 + 0*s + 1/4*s**4.
s**3*(s + 1)/4
Let a(m) be the second derivative of 3*m + 1/90*m**5 + 1/27*m**4 + 0 - 1/135*m**6 + 0*m**3 + 0*m**2. Determine i, given that a(i) = 0.
-1, 0, 2
Let g(u) be the second derivative of -u**7/42 + 2*u**6/15 - 3*u**5/10 + u**4/3 - u**3/6 - 5*u + 2. Find m, given that g(m) = 0.
0, 1
Let v(z) be the first derivative of 8 + 0*z**3 - 1/39*z**6 + 0*z**5 + 1/13*z**4 - 1/13*z**2 + 0*z. Suppose v(w) = 0. Calculate w.
-1, 0, 1
Let c(b) be the third derivative of b**6/720 - b**5/80 - b**3/3 + 2*b**2. Let q(z) be the first derivative of c(z). Factor q(t).
t*(t - 3)/2
Let t(k) = -28*k - 84. Let i be t(-3). Factor i + 0*b - 6*b**2 - 231/2*b**4 - 48*b**3 - 147/2*b**5.
-3*b**2*(b + 1)*(7*b + 2)**2/2
Let s(d) = 4*d**2 - 55*d - 26. Let f(q) = 9*q**2 - 111*q - 51. Let r(i) = -5*f(i) + 9*s(i). Factor r(g).
-3*(g - 7)*(3*g + 1)
Let x(s) = -s**3 + 13*s**2 + s - 5. Let h be x(13). Let h*n**3 + 3*n**2 + n + 7*n**3 + 10*n**4 + 3*n**5 - 3*n**3 + 3*n**2 = 0. Calculate n.
-1, -1/3, 0
Suppose 2/3*g**2 + 10/3*g + 4 = 0. What is g?
-3, -2
Suppose 1/3*i - 1 + i**2 - 1/3*i**3 = 0. Calculate i.
-1, 1, 3
Let o be (-2)/((-4)/(-6)*-3). Let z(h) = 2*h + 2. Let l be z(o). Solve -3*j**l + 0 - 2/3*j**3 + 0*j**2 - 7/3*j**5 + 0*j = 0.
-1, -2/7, 0
Suppose c - 18 + 11 = 0. Let g be (2/c)/((-32)/(-56)). Suppose g*d - 1/2*d**2 + 0 = 0. What is d?
0, 1
Factor -2*k - 33*k**5 + 35*k**5 - 4*k**3 + k + 3*k.
2*k*(k - 1)**2*(k + 1)**2
Factor -1/2 + 1/2*n**2 + 1/6*n**3 - 1/6*n.
(n - 1)*(n + 1)*(n + 3)/6
Let q(i) be the first derivative of 7*i**6/27 + 38*i**5/45 - 41*i**4/18 - 22*i**3/27 + 34*i**2/9 - 16*i/9 - 9. Find c such that q(c) = 0.
-4, -1, 2/7, 1
Let s(g) be the third derivative of 1/420*g**5 + 0 + 0*g + 9*g**2 + 0*g**4 - 1/42*g**3. Solve s(j) = 0.
-1, 1
Suppose 0 = -w + 26 + 2. Let a = -25 + w. Suppose 0 + 2/3*d**4 + 10/3*d**2 + 4/3*d + 8/3*d**a = 0. What is d?
-2, -1, 0
Let q(t) be the second derivative of -t**5/10 + t**3/3 + 13*t. Factor q(f).
-2*f*(f - 1)*(f + 1)
Let n be (-7)/(-4) - 4/(-16). Let b be 7/((-35)/n)*-1. Find i such that 2/5*i**3 - 2/5 + 2/5*i**2 - b*i = 0.
-1, 1
Let j = 15 - 7. Let o = j + -5. Factor -n**o + 0*n**3 - n**3 - n**2 + n.
-n*(n + 1)*(2*n - 1)
Find o such that 16*o + 32/5*o**2 + 10 = 0.
-5/4
Let r = 9 + -5. Factor -3*t**4 + 3*t**r + t**5 + 13*t**3 + 6*t**4 + 2 + t**3 + 9*t + 16*t**2.
(t + 1)**4*(t + 2)
Let j(h) = -h**2 - h + 1. Let a(v) = 8*v**2 + 74*v + 572. Let l(g) = 2*a(g) + 12*j(g). Factor l(n).
4*(n + 17)**2
Let p(f) be the first derivative of f**6/12 - f**4/4 + f**2/4 + 6. Solve p(q) = 0 for q.
-1, 0, 1
Factor 1/2*m**2 + 2*m - 2 - 1/2*m**3.
-(m - 2)*(m - 1)*(m + 2)/2
Let j = -2/713 + 1444/6417. Factor 0*v - 2/9*v**2 + j*v**5 - 2/3*v**4 + 2/3*v**3 + 0.
2*v**2*(v - 1)**3/9
Let r(z) be the first derivative of -2/3*z - 2 - 8/9*z**3 - 7/6*z**2 - 1/4*z**4. Factor r(m).
-(m + 1)**2*(3*m + 2)/3
Let k(x) = -6 - 10*x - 10*x**2 + 0*x**3 + 0*x**3 - x**3. Let q be k(-9). Factor -w + 3*w + 4*w + q*w**2 - 3*w**3.
-3*w*(w - 2)*(w + 1)
Let x(f) be the second derivative of -f**5/35 - 3*f**4/7 - 18*f**3/7 - 54*f**2/7 - 3*f. What is l in x(l) = 0?
-3
Let d(g) be the second derivative of g**7/3780 - g**6/648 + g**5/270 - g**4/4 + g. Let f(w) be the third derivative of d(w). Find v, given that f(v) = 0.
2/3, 1
Suppose 5*o = -0*o + 45. Suppose 4*a = -1 + o. Factor 2*v**2 - a + 5*v - 5*v.
2*(v - 1)*(v + 1)
Let a be (186/434)/((-3)/(-14)). Suppose 1/2*k + 1/2*k**a + 0 = 0. What is k?
-1, 0
Factor 0 + 9/2*y**3 + 0*y + 3*y**2.
3*y**2*(3*y + 2)/2
Let j(b) be the second derivative of b**4/4 + 3*b**3/2 + 3*b**2 - 12*b. Suppose j(s) = 0. Calculate s.
-2, -1
Suppose -5*j = 5*j - 30. Factor 0*v + 0*v**2 + 0 - 2/9*v**4 - 4/9*v**j.
-2*v**3*(v + 2)/9
Let b(r) be the third derivative of 0*r**3 - 1/48*r**4 - 1/240*r**5 + r**2 + 0*r + 0. Factor b(v).
-v*(v + 2)/4
Let n(p) = p + 1. Let v be n(3). Let z(y) be the second derivative of -1/6*y**v - 1/3*y**3 + 0*y**2 - 2*y + 0. Determine b so that z(b) = 0.
-1, 0
Let -10*p - 1230 + 15*p**3 + 1230 - 5*p**5 + 5*p**2 - 5*p**4 = 0. What is p?
-2, -1, 0, 1
Let j(g) be the third derivative of -g**7/420 - g**6/120 + g**4/24 + g**3/12 + 6*g**2. Solve j(a) = 0 for a.
-1, 1
Suppose 5*b - 10 = 0, 2*b - 12 = -3*q - q. Factor -k + 0 + 2*k**4 + k**5 + 3*k - 4*k**2 - q*k**3 - k + 2.
(k - 1)**2*(k + 1)**2*(k + 2)
Let q(a) be the second derivative of -a**7/105 + a**5/30 + 9*a**2/2 - 9*a. Let y(o) be the first derivative of q(o). Determine t so that y(t) = 0.
-1, 0, 1
Let p(a) be the second derivative of 2/21*a**4 + 4/21*a**3 + 1/147*a**7 + 0 + 0*a**2 - 2/105*a**6 + 2*a - 3/70*a**5. Factor p(h).
2*h*(h - 2)**2*(h + 1)**2/7
Let t(w) be the first derivative of -w**4/16 - 15*w**3/4 - 675*w**2/8 - 3375*w/4 - 23. Solve t(m) = 0.
-15
Let q(o) be the second derivative of -o**6/50 - 3*o**5/20 - 3*o**4/10 + 2*o**3/5 + 12*o**2/5 - 3*o. Factor q(d).
-3*(d - 1)*(d + 2)**3/5
Let k(c) be the third derivative of c**7/1365 + 2*c**6/65 + 59*c**5/195 - 2*c**4 + 13*c**3/3 + 70*c**2. Suppose k(t) = 0. What is t?
-13, 1
Let f(r) = -2*r + 9. Let j be f(8). Let i be j/(-4)*(-1)/(-7). Factor -i + 3/4*b**4 + 1/4*b**5 - 1/2*b**2 - 3/4*b + 1/2*b**3.
(b - 1)*(b + 1)**4/4
Let t(k) be the second derivative of 0 + 1/126*k**7 + 0*k**3 - 1/30*k**6 + k - 1/36*k**4 + 0*k**2 + 1/20*k**5. Factor t(y).
y**2*(y - 1)**3/3
Suppose -32 = 2*j - 36. Find h such that j*h**3 + 2*h**2 + 2/3*h + 2/3*h**4 + 0 = 0.
-1, 0
Suppose -3*f = -5*b - 15, -2*f - 3*b + 25 = 3*f. Suppose 2*c - 26 = -f*l + 5*c, -3*l + 6 = 3*c. What is s in 0*s**3 + 0*s**2 + 0*s + 0 + 0*s**l + 1/2*s**5 = 0?
0
Let l = 37 - 36. Let y(s) be the first derivative of 3*s + 3*s**3 - 12/5*s**5 - l - 15/4*s**4 + 15/2*s**2. Let y(v) = 0. What is v?
-1, -1/4, 1
Let o be 24/10 + 1 + -3. Let l be (-54)/(-10) + -5*(-6)/(-6). Factor 12/5*q**3 + 8/5*q**2 + o*q + 0 + 8/5*q**4 + l*q**5.
2*q*(q + 1)**4/5
Suppose -5*r + 24 = -1. Suppose -n + 8 - r = 0. Let 22/5*h**n - 18/5*h**4 + 0*h**2 + 4/5*h**5 - 8/5*h + 0 = 0. What is h?
-1/2, 0, 1, 2
Let k = 103/7 - 101/7. Suppose 16/7*l**2 - 10/7*l**3 - 4/7 - k*l = 0. Calculate l.
-2/5, 1
Let v be (-84)/20 - 1/(-5). Let b(c) = 6*c**2 - 10*c + 4. Let o(j) = -13*j**2 + 21*j - 8. Let h(s) = v*o(s) - 9*b(s). Determine a, given that h(a) = 0.
1, 2
Factor -4*d**2 + 5*d - 4*d**3 - 3*d + 6*d**3.
2*d*(d - 1)**2
Let m = 3 - -1. Let r(y) be the second derivative of -y + 1/48*y**m + 1/2*y**2 + 1/6*y**3 + 0. Factor r(j).
(j + 2)**2/4
Let a(r) = r**3 - r**2. Let q(x) be the first derivative of -2*x**3 + x + 1/5*x**5 + x**4 + 0*x**2 - 1. Let d(p) = 4*a(p) - q(p). Factor d(b).
-(b - 1)**2*(b + 1)**2
Let r be ((-312)/(-182))/(54/56). Suppose -4/3*n + 2/9 + r*n**2 + 8/9*n**5 + 4/9*n**3 - 2*n**4 = 0. Calculate n.
-1, 1/4, 1
Let q(g) be the second derivative of g**7/735 + g**6/210 - g**5/210 - g**4/42 + g**2 + g. Let x(f) be the first derivative of q(f). Let x(r) = 0. What is r?
-2, -1, 0, 1
Let z(h) be the first derivative of -h**6/1080 - h**5/360 + 4*h**3/3 + 2. Let i(f) be the third derivative of z(f). Determine g so that i(g) = 0.
-1, 0
Let p(q) be the third derivative of -q**5/420 - q**4/56 - q**3/21 + 7*q**2. Let p(s) = 0. What is s?
-2, -1
Let j(l) be the second derivative of 7/30*l**4 + 0 - 2/5*l**2 + 3*l + 1/3*l**3. Find d, given that j(d) = 0.
-1, 2/7
Let z(x) = x**2 + 8*x + 2. Let a be z(