120*m**6 - 23/60*m**5 - 1/3*m**4 + 2/3*m**3 + 2*m**2. Factor f(h).
(h + 1)**3*(5*h - 2)**2
Let a(z) = 5*z**3 + 2*z**2 + 2. Let j(y) = -y**2 - 3*y + 4. Let h be j(-3). Let p(v) = -v**2 + v**2 + 1 + v**3. Let c(u) = h*p(u) - 2*a(u). Factor c(d).
-2*d**2*(3*d + 2)
Let x(r) be the first derivative of -1/4*r**4 + r**3 - 2*r**2 + r + 1/40*r**5 + 1. Let w(p) be the first derivative of x(p). Find n such that w(n) = 0.
2
Let o(l) = -l**2 - 6*l + 4. Let q be o(-6). Solve 0*d + 0*d - 2*d**2 + 2*d**q = 0 for d.
-1, 0, 1
Let x be (-1)/((-20)/(-7) - 3). Solve 10 + 3*y + 3*y**2 - x - 9 = 0.
-2, 1
Let s = 3 + -8. Let u = -3 - s. Determine q so that -2*q**2 - q + 4*q**u - 3*q**2 = 0.
-1, 0
Let o be -1 + -4*1/(-4). Let t(r) be the third derivative of 0*r**3 + 2*r**2 + 0 + 1/48*r**4 + 1/120*r**5 + o*r. Factor t(j).
j*(j + 1)/2
Solve -8/11*o**3 - 4/11*o**2 + 6/11 - 2/11*o**4 + 8/11*o = 0.
-3, -1, 1
Let x = -747/7 - -107. Let b be 6/70 - (-2)/10. Let b*m**3 + 0 - x*m**4 + 2/7*m**2 - 2/7*m = 0. Calculate m.
-1, 0, 1
Let i = 3051/13039 - -1/767. Factor 2/17*s**3 + 0*s**2 - i - 6/17*s.
2*(s - 2)*(s + 1)**2/17
Let g(y) = -y**3 - 4*y**2 + 5. Let o be g(-4). Suppose o*i = 2*i. Factor i*b + 2/5*b**3 + 2/5*b**2 + 0.
2*b**2*(b + 1)/5
Let s be (29/145)/(2 + 34/(-20)). Factor 0 + 2*f**2 - 4/3*f**3 - s*f.
-2*f*(f - 1)*(2*f - 1)/3
Let d(x) be the first derivative of 1/2*x**4 - 1/2*x**2 - 1/6*x**6 + 2/3*x**3 - 1/5*x**5 - x - 2. Solve d(n) = 0.
-1, 1
Let i(c) = -2*c + 2. Let n be i(-2). Let t be (-18)/(-5) + n/15. Factor 2*l - 10*l**2 + 2*l**3 - t*l + 1 + 8*l**2 + 1.
2*(l - 1)**2*(l + 1)
Let i = 1/125 + 122/375. Let a(r) be the third derivative of 5/84*r**7 - 11/120*r**5 + 0 + 0*r + i*r**3 - 1/4*r**4 + 3*r**2 + 1/8*r**6. Factor a(l).
(l + 1)**2*(5*l - 2)**2/2
Let j = -45 + 92. Let -66*u - j*u**2 + 147*u**3 - 12 - 16*u**2 - 6*u = 0. What is u?
-2/7, 1
Suppose 14*m - 5*m = 45. Let i(b) be the third derivative of 1/15*b**4 + 2/75*b**m + 0 + 0*b**3 - b**2 + 0*b + 1/300*b**6. Factor i(g).
2*g*(g + 2)**2/5
Let c(i) = 2*i + 16. Let k be c(-8). Let o(s) be the second derivative of -s + k*s**3 + 0 + 1/10*s**2 - 1/60*s**4. Factor o(y).
-(y - 1)*(y + 1)/5
Let t(w) be the second derivative of 0 + 1/8*w**4 + 0*w**2 + 3/40*w**5 + 0*w**3 + 7*w. Determine n, given that t(n) = 0.
-1, 0
Let n(s) be the second derivative of 0*s**3 + 0*s**5 + 0 + 0*s**2 + 2*s + 1/150*s**6 - 1/60*s**4. Solve n(v) = 0.
-1, 0, 1
Let i = -194 + 196. Factor 1/4*g**4 - g + 3/2*g**i + 1/4 - g**3.
(g - 1)**4/4
Let d(h) be the first derivative of 2/21*h**3 - 4/7*h + 1 - 1/7*h**2. Factor d(r).
2*(r - 2)*(r + 1)/7
Factor -2/3*j**2 + 2/3*j**4 + 2/3*j**3 - 2/3*j**5 + 0 + 0*j.
-2*j**2*(j - 1)**2*(j + 1)/3
Let a(c) = -12*c + 4. Let j(w) = w**2 - 23*w + 8. Let k(p) = 7*a(p) - 4*j(p). Factor k(m).
-4*(m - 1)**2
Let c be 16/5 - 2/10. Factor -39*g**c - 34*g**4 - 51*g**3 - 16*g**4 + 14*g**2 - 62*g**2 - 8*g.
-2*g*(g + 1)*(5*g + 2)**2
Factor -3/5*p**2 + 1/5*p**4 + p - 2/5 - 1/5*p**3.
(p - 1)**3*(p + 2)/5
Suppose 1/6*w**2 + 1/2 - 2/3*w = 0. Calculate w.
1, 3
Let b(i) be the second derivative of i**5/50 - i**4/30 - i. Find w such that b(w) = 0.
0, 1
Let o(h) = -h**2 - 10*h - 16. Let l be o(-8). Let b be 12/54*(-1)/(-1). Let l + 2/9*u**2 - b*u + 2/9*u**3 - 2/9*u**4 = 0. What is u?
-1, 0, 1
Suppose y - 8 = 3*y. Let p be (-1)/y - (-6)/(-216). Factor 0 - 2/9*t**4 - 2/9*t**3 + p*t**2 + 2/9*t.
-2*t*(t - 1)*(t + 1)**2/9
Let b(y) be the first derivative of -y**9/10584 + y**7/1470 - y**5/420 - 2*y**3/3 - 3. Let k(f) be the third derivative of b(f). Factor k(r).
-2*r*(r - 1)**2*(r + 1)**2/7
Let j(v) be the first derivative of -3/4*v**4 + 3/4*v**2 - 1/5*v**5 + 6 + 1/4*v**6 - v + 2/3*v**3. Find s, given that j(s) = 0.
-1, 2/3, 1
Let d(t) = t**2 + t - 1. Let v be d(0). Let a be v/12 + 3/9. Determine p, given that a - 1/4*p**2 - 1/4*p + 1/4*p**3 = 0.
-1, 1
Let h(w) be the second derivative of -w**5/40 - w**4/12 - w**3/12 + 2*w. Factor h(o).
-o*(o + 1)**2/2
Let i be (-84)/(-24)*(-327)/(-14). Let g = i + -81. Factor -1/4*q**4 + 0 + 3/4*q**3 + 1/4*q - g*q**2.
-q*(q - 1)**3/4
Suppose -2*t + 3*q + 3 = 0, -2*q = -4*q - 2. Suppose 0*x + 3/2*x**2 + t = 0. Calculate x.
0
Let t = 1749/5 + -345. Find y, given that 4/5*y - 2*y**4 + t*y**3 - 18/5*y**2 + 0 = 0.
0, 2/5, 1
Let m(j) = j**2 + 4*j - 17. Let c be m(-7). Solve 56*t**2 - 3*t + 2*t**4 - 53*t**2 + t**c + 3*t**3 - 6*t**4 = 0.
-1, 0, 1
Let q(o) be the first derivative of -2*o + 1/42*o**4 + 0*o**2 - 1/21*o**3 + 1. Let b(w) be the first derivative of q(w). Factor b(s).
2*s*(s - 1)/7
Let p(s) be the first derivative of -7/5*s**2 + 26/25*s**5 - 1/5*s**6 + 12/5*s**3 + 3 + 2/5*s - 11/5*s**4. Factor p(l).
-2*(l - 1)**4*(3*l - 1)/5
Suppose 4*f - 2*q = 2*f + 4, -3*f - 5*q = 10. Factor -4/7*g**3 - 6/7*g**4 + 0 + 0*g + f*g**2.
-2*g**3*(3*g + 2)/7
Let t(g) = g**2 - g + 4. Let m be t(0). Factor w**3 - 2*w**2 - 4*w**5 - 3*w**3 + 5*w**4 + 6*w**5 - 3*w**m.
2*w**2*(w - 1)*(w + 1)**2
Find k, given that -15*k - 11*k**4 - 4*k**4 + 35*k**3 - k**2 - 14*k**2 + 10 = 0.
-2/3, 1
Let m(o) = o**2 + 13*o + 39. Let x be m(-9). Factor -2/9*a**5 - 2/9*a**2 + 0*a + 2/9*a**4 + 2/9*a**x + 0.
-2*a**2*(a - 1)**2*(a + 1)/9
Let w(k) be the second derivative of 3*k**6/10 - 3*k**5/5 - 4*k**4 + 8*k**3 + 24*k**2 + 20*k. Factor w(x).
3*(x - 2)**2*(x + 2)*(3*x + 2)
Suppose 14*b = 13*b. Find s, given that -1/3*s**3 - 1/3*s - 2/3*s**2 + b = 0.
-1, 0
Suppose 0*l + l = q, 3*q = 5*l. Let v(w) be the second derivative of 1/30*w**3 + q*w**2 + 0 - 1/100*w**5 + 0*w**4 + 3*w. Factor v(p).
-p*(p - 1)*(p + 1)/5
Let t(w) = -3*w**4 + 5*w**3 - 9*w**2 + 9*w - 2. Let n(j) = 9*j**4 - 16*j**3 + 28*j**2 - 27*j + 6. Let u(a) = -6*n(a) - 17*t(a). Factor u(s).
-(s - 1)**3*(3*s - 2)
Let h(l) be the second derivative of -54*l**7/7 + 24*l**6/5 + 227*l**5/20 - 63*l**4/4 + 8*l**3 - 2*l**2 - 2*l. Solve h(g) = 0 for g.
-1, 2/9, 1/2
Let y(w) be the third derivative of 0*w + 1/9*w**3 + 1/90*w**5 - 3*w**2 + 0 + 1/18*w**4. Solve y(v) = 0 for v.
-1
Let d(p) = -2*p**2 + 18*p - 11. Let t be d(8). Factor 2/7*y**2 + 2/7*y**3 + 0*y - 2/7*y**t - 2/7*y**4 + 0.
-2*y**2*(y - 1)*(y + 1)**2/7
Let t(s) be the third derivative of s**5/180 + s**4/18 + 2*s**3/9 + 8*s**2. Factor t(g).
(g + 2)**2/3
Solve -36*l + 33*l + 2*l**2 - 4*l**2 + 6 - l**2 = 0.
-2, 1
Factor 10*c - 12 + 17*c - 9*c**2 - 3*c.
-3*(c - 2)*(3*c - 2)
Let o(m) = m + 14. Let l be o(10). Suppose -5*x = -2*h + 12, 0 = -4*h - 3*x - 0*x + l. Determine j, given that -j**5 - j**3 - h*j**2 + 6*j**2 - 2*j**4 = 0.
-1, 0
Let l(w) be the third derivative of -w**6/270 + 8*w**5/135 - 5*w**4/54 - 100*w**3/27 - 5*w**2. Factor l(p).
-4*(p - 5)**2*(p + 2)/9
Let s be (15 + 0)*6/(-9). Let i be (224/200)/((-4)/s). Factor 0*p + 32/5*p**5 - i*p**3 + 0 + 2/5*p**2 + 16/5*p**4.
2*p**2*(p + 1)*(4*p - 1)**2/5
Let t(n) be the second derivative of n**4/54 - 2*n**3/27 + n. Find f such that t(f) = 0.
0, 2
Let o(g) be the first derivative of -5*g**3/3 + 35*g**2 - 245*g + 17. Find b, given that o(b) = 0.
7
Let i(z) be the first derivative of -4*z**3/9 - 10*z**2/3 - 16*z/3 + 16. Factor i(r).
-4*(r + 1)*(r + 4)/3
Let g(n) = -3*n**4 - 4*n - 1. Let s(c) be the first derivative of 7*c**5/5 + c**4/4 + 9*c**2/2 + 3*c - 3. Let k(i) = -10*g(i) - 4*s(i). Factor k(z).
2*(z - 1)**3*(z + 1)
Let n(p) be the third derivative of p**6/40 - 11*p**5/20 + 3*p**4 + 18*p**3 - 26*p**2. Solve n(f) = 0 for f.
-1, 6
Let j(f) be the third derivative of f**7/315 + f**6/360 - 17*f**5/180 - 2*f**4/9 + 2*f**3/3 - 34*f**2. Let j(h) = 0. What is h?
-2, 1/2, 3
Let p(q) = q + 6. Suppose -u - 15 = 2*u. Let y be p(u). Factor 0 - t**3 + 0 + t + t**2 - y.
-(t - 1)**2*(t + 1)
Let m(v) be the third derivative of v**8/1680 - v**7/420 + v**6/360 - v**3 - 4*v**2. Let f(r) be the first derivative of m(r). Factor f(u).
u**2*(u - 1)**2
Let l be (20/8)/(1/2). Let -6*n**2 + 4*n - 3*n + 2 + l*n**2 = 0. Calculate n.
-1, 2
Let p = -806 - -809. Solve -1/2*n**p + 5/6*n**5 - 1/3*n + 7/6*n**4 - 7/6*n**2 + 0 = 0.
-1, -2/5, 0, 1
Let b(y) = -y**2 - 7*y - 7. Let w = -16 - -11. Let g be b(w). Let -v - 6*v**g + 4*v**3 + 3*v**3 = 0. What is v?
-1, 0, 1
Let r(t) be the second derivative of t**7/336 - t**6/240 - t**5/160 + t**4/96 + 2*t. Determine h, given that r(h) = 0.
-1, 0, 1
Suppose -2*r - 5*w = -19 - 14, -4*r - 5*w = -41. Find 