 Factor 0 + 0*b + 3/7*b**t - 3/7*b**2.
3*b**2*(b - 1)/7
Let f = 154 - 143. Factor -23 + 6*w**3 - 13 - 5*w**3 + 24*w + f*w**2.
(w - 1)*(w + 6)**2
Solve 342/11 + 98/11*c**3 + 1614/11*c + 1946/11*c**2 = 0.
-19, -3/7
Let k(l) be the first derivative of l**4/4 + 5*l**3/3 - 32*l**2 - 140*l - 6468. Factor k(r).
(r - 7)*(r + 2)*(r + 10)
Let z(n) = 5*n**3 - 3*n**2 - 9*n - 1. Let f(h) = -9*h**3 + 11 - h + 18*h - 6 + 6*h**2 - 3. Let w(r) = 6*f(r) + 11*z(r). Suppose w(i) = 0. Calculate i.
-1
Let w(t) be the third derivative of 1/12*t**4 - 1/60*t**6 - 1/4*t**3 + 1/420*t**7 - 160*t**2 + 0 + 1/60*t**5 + 0*t. Factor w(h).
(h - 3)*(h - 1)**2*(h + 1)/2
Let r(s) = 5*s**4 + 14*s**3 + 16*s**2 + 8*s. Suppose 0 = 3*k - 12, 5*v + 5 = 2*k + 2. Let l(g) = g**4 + 2*g**3 + g**2. Let t(i) = v*r(i) - 4*l(i). Factor t(j).
j*(j + 2)**3
Let g(r) be the first derivative of 9*r**7/133 - 18*r**6/95 + 18*r**5/95 - 4*r**4/57 - 19*r + 60. Let w(o) be the first derivative of g(o). Factor w(i).
2*i**2*(3*i - 2)**3/19
Let c = -797 - -806. Factor 48*n**2 + 2*n**4 + 43*n**5 - 51*n - 14*n**4 - 40*n**5 - 6*n**2 + 9 + c.
3*(n - 3)*(n - 1)**3*(n + 2)
Factor 0 + 1484/5*t**3 - 553536/5*t + 273792/5*t**2 + 2/5*t**4.
2*t*(t - 2)*(t + 372)**2/5
Let s(w) be the second derivative of -w**5/70 - 43*w**4/42 - 150*w**3/7 + 1322*w - 1. Factor s(c).
-2*c*(c + 18)*(c + 25)/7
Let a(s) be the first derivative of 76/7*s**2 + 124 - 2/21*s**3 - 2888/7*s. Factor a(t).
-2*(t - 38)**2/7
Let n(o) = 47*o**2 - o - 1. Let x(u) = -48*u**2 - 93*u - 92. Let s(c) = -3*n(c) - 3*x(c). Determine v so that s(v) = 0.
-93, -1
Let t(l) = 3*l**3 - 6*l**2 + 8*l + 3. Let m be t(3). Suppose 0 = m*a - 50*a - 68. Factor -8*q - a*q**2 + 11*q + 20*q**2.
3*q*(q + 1)
Factor -64/7 + 36/7*c - 2/7*c**2.
-2*(c - 16)*(c - 2)/7
What is b in -129*b + 58*b**4 + 63*b**4 - 93*b**2 - 118*b**4 - 54 - 15*b**3 = 0?
-2, -1, 9
Let i be (-1 - 0)*624/(-208). Let s(m) be the third derivative of 2*m**i - 30*m**2 - 5/12*m**4 + 0*m + 0 + 1/30*m**5. Solve s(z) = 0 for z.
2, 3
Let h be (-10)/(-6)*1*(-117)/(-65). Factor -10*x**3 + 12*x**2 + 44*x - 5*x**4 + 24 + h*x**4 - 10*x**3 + 8*x**3 - 2*x**4.
-4*(x - 2)*(x + 1)**2*(x + 3)
Let d(t) be the first derivative of t**3/12 + 677*t**2/2 + 2707*t/4 + 4788. Find i, given that d(i) = 0.
-2707, -1
Let a(n) = -114*n + 2173. Let s be a(19). Let j(c) be the first derivative of -3/8*c**4 + 3*c + 2*c**3 - s - 15/4*c**2. Let j(f) = 0. Calculate f.
1, 2
Let p = 8353/33060 + -22/8265. Factor 3/2*y + 0 + p*y**2 - 1/4*y**3.
-y*(y - 3)*(y + 2)/4
Let n be 3 - 4 - (-4 - -1). Let r be 3/9 - 0 - (-6 + 888/144). Factor r*x**n - 1/3 - 1/6*x.
(x - 2)*(x + 1)/6
Let u(q) = 2*q**2 + 22*q + 22. Let w be u(-9). Let k be ((-7)/w)/((-3)/(-48)). Suppose -k + 5 - 6*z + 16*z**2 - 19*z**2 = 0. Calculate z.
-1
Let j = -51 - -147. Let x = -79 + j. Find a such that x*a**3 - 3*a**4 - 18*a**2 + 14*a - 3 + 0*a - 2*a - 5*a**3 = 0.
1
Let r = -5970839/9 + 663443. Factor -2/9*w**2 - 50/3*w - r.
-2*(w + 1)*(w + 74)/9
Let d(y) be the first derivative of -41*y**5/10 - 45*y**4/16 + 20*y**3/3 + 45*y**2/8 + y/2 - 775. Determine w, given that d(w) = 0.
-1, -1/2, -2/41, 1
Let k(z) be the second derivative of -5/16*z**4 + 0 + 10*z - 4/3*z**3 - 1/2*z**2. Factor k(x).
-(x + 2)*(15*x + 2)/4
Suppose 4*b + 21 = 65. Suppose -5 = o - b. Factor 96 - 3*g**2 + 86 + 61 + o*g**2 + 54*g.
3*(g + 9)**2
Let c(p) be the first derivative of 5*p**4/12 + 5*p**3/6 - 30*p**2 + 58*p - 101. Let l(a) be the first derivative of c(a). Factor l(w).
5*(w - 3)*(w + 4)
Suppose 0 + 10/11*s**2 + 2/11*s**3 - 2/11*s**4 + 6/11*s = 0. What is s?
-1, 0, 3
Let c(z) be the second derivative of z**7/280 - z**6/20 + 9*z**5/40 - 27*z**3/8 - 41*z**2/2 + 21*z + 1. Let o(g) be the first derivative of c(g). Factor o(j).
3*(j - 3)**3*(j + 1)/4
Suppose 2*a - 34 = -u, 7 = a + 2*u - 7. Let m be 0/(a/(-2) + 6). Let -2/3*f**5 + 0*f + 0 - 2/3*f**3 - 4/3*f**4 + m*f**2 = 0. What is f?
-1, 0
Find c, given that -62/5*c**3 + 0 - 8/5*c**4 + 24/5*c - 16*c**2 = 0.
-6, -2, 0, 1/4
Let o = 11037/2 - 33101/6. Let y(h) be the first derivative of -3 - o*h**3 - 10*h + 15/2*h**2. Solve y(g) = 0 for g.
1, 2
Suppose 12*w**3 + 4/3*w**4 + 24*w**2 + 0*w + 0 = 0. Calculate w.
-6, -3, 0
Suppose -4*r = -o, 7*o = 4*r + 3*o + 12. Let z be 14*(r - 1/7). Determine c so that 10 + 12*c + 20*c**4 - 28*c**2 + 5 - 7 - z*c**3 = 0.
-1, -2/5, 1
Let a be ((-112)/(-52))/1 + (-898)/5837. Suppose 1/5*z**a - 7/5*z + 7/5*z**3 + 0 - 1/5*z**4 = 0. Calculate z.
-1, 0, 1, 7
Let d(x) be the first derivative of -23*x**2 - 138*x - 111. Let l be d(-3). Factor l + 0*f**2 + 2/13*f**3 - 8/13*f.
2*f*(f - 2)*(f + 2)/13
Let a = 130 + -114. Let u(f) = -9*f**3 + 11*f**2 + 9*f - 16. Let j(q) = 28*q**3 - 32*q**2 - 28*q + 48. Let z(r) = a*u(r) + 5*j(r). Find d, given that z(d) = 0.
-1, 1, 4
Find z, given that -3432/7 + 3438/7*z - 6/7*z**2 = 0.
1, 572
Let d(f) be the second derivative of 2*f**6/15 + 16*f**5/5 + 46*f**4/3 - 96*f**3 + 162*f**2 - 1145*f. Factor d(r).
4*(r - 1)**2*(r + 9)**2
Suppose -216 = -46*b + 45*b. Suppose 206*w = b*w - 20. Let 0 - 3/2*c**3 + 0*c**w + 0*c + 3/4*c**4 + 3/4*c**5 = 0. Calculate c.
-2, 0, 1
Let t(p) be the second derivative of -1 + 1/70*p**5 - 1/7*p**2 + 1/42*p**4 + 4*p - 1/21*p**3. Suppose t(h) = 0. What is h?
-1, 1
Let z(k) be the third derivative of 3*k**6/260 - 487*k**5/130 + 484*k**4/39 - 644*k**3/39 + k**2 + 220. Factor z(v).
2*(v - 161)*(3*v - 2)**2/13
Let p = 42 + -39. Suppose 50 + 22 = p*y. Factor -3*q**2 - 109 + 109 - y*q.
-3*q*(q + 8)
Factor -12*n**2 - 362*n + 55539*n**3 - 1716 - 55555*n**3 - 304*n**2 + 7306*n.
-4*(n - 13)*(n + 33)*(4*n - 1)
Let x be (-225)/(-54)*(31 - (1 + 2)). Let j be (-4)/(((-204)/(-9))/(-17)). Solve -1520/9*p**j - 250/9*p**5 - 976/9*p**2 - 32/9 - 32*p - x*p**4 = 0 for p.
-2, -1, -2/5
Let y be 1/(-14 - (-116)/8). Factor -y - 9/2*z**2 - 10*z.
-(z + 2)*(9*z + 2)/2
Let z(u) be the first derivative of 4*u**5/15 + 10*u**4 + 284*u**3/3 + 1048*u**2/3 + 560*u - 4118. Find y, given that z(y) = 0.
-21, -5, -2
Let o be 0 - 1 - 4752/(-2640). Let 0 - 168/5*b + o*b**2 = 0. Calculate b.
0, 42
Let c be ((0/(-3))/7)/(-1). Let z(r) be the second derivative of -9*r + 0*r**2 + 0 + 1/40*r**5 + c*r**3 - 1/8*r**4. Factor z(p).
p**2*(p - 3)/2
Let v be 2/14*175/1000. Let r(j) be the third derivative of 0*j**3 + 1/10*j**6 - 1/8*j**4 + 0*j + 0 - 1/28*j**7 - v*j**5 + 19*j**2. Find m, given that r(m) = 0.
-2/5, 0, 1
Suppose 5*i - 22 = 68. Factor -19*v - 7 - 4*v - 5*v**2 - i - 7*v.
-5*(v + 1)*(v + 5)
Suppose -10*x + 180 = -5*x. Suppose 6*s = 12*s - x. Determine z so that 3*z - 23*z - 5*z**3 - 10*z**2 - s*z**2 - 4*z**2 = 0.
-2, 0
Let b = -103 + 98. Let t(z) = -1. Let l(d) = 5*d**2 + 15*d + 5. Let v(x) = b*t(x) - l(x). Factor v(s).
-5*s*(s + 3)
Suppose -t - 4 = o, 420 = -5*o - 2*t + 421. Factor -1/3*l + 1/3*l**2 + 1/3*l**o - 1/3.
(l - 1)*(l + 1)**2/3
Let z be (-459)/(17 + 0) + (14 - -16). Factor 2*b**2 - 4/7*b**z - 20/7 + 34/7*b.
-2*(b - 5)*(b + 2)*(2*b - 1)/7
Let b(m) be the second derivative of -1/15*m**5 + 7*m**2 - 2/3*m**3 + 5/12*m**4 + 0 + 5*m. Let k(l) be the first derivative of b(l). Factor k(q).
-2*(q - 2)*(2*q - 1)
Factor -1149 - 92*p**2 + p**3 - 1118 + 2177 + 181*p.
(p - 90)*(p - 1)**2
Let f be 2/24*36 + 0. Let -722/7*j**f + 24/7 - 464/7*j + 2318/7*j**2 = 0. Calculate j.
2/19, 3
Factor 1/8*f**3 + 33/4 + 13/4*f**2 + 91/8*f.
(f + 1)*(f + 3)*(f + 22)/8
Let d(h) = h**2 + 7*h - 30. Let v be d(-11). Let p be (-45)/(-315) + 6/v. Find x, given that -3/7*x**2 - 8/7*x - p = 0.
-2, -2/3
Let x(g) be the second derivative of -g**5/90 - 2*g**4/9 - 11*g**3/27 + 512*g + 3. Find f such that x(f) = 0.
-11, -1, 0
Let u = -82107 - -246337/3. Factor 0 + 8/5*o**2 - u*o**3 + 0*o - 14/15*o**4.
-2*o**2*(o + 6)*(7*o - 2)/15
Suppose -4*m + 5*m - 5 = 0. Factor m + 2*l**2 - 3*l**2 + 13 + 5*l + 2*l.
-(l - 9)*(l + 2)
Suppose -5*g = -r - 123, 4*g + 2*r - 13 - 77 = 0. Factor 31*o - 323*o**3 - g*o - 36 - 9*o**2 + 320*o**3 + 41*o.
-3*(o - 2)*(o - 1)*(o + 6)
Factor -272*m**2 - 69194*m**3 - 2276 - 6436 + 69198*m**3 + 4884*m.
4*(m - 33)**2*(m - 2)
Let t(h) = -183 - h**2 + 41 - 48*h + 39*h + 35*h. Let a be t(8). Factor 1/8*d**a + 7/8 + d.
(d + 1)*(d + 7)/8
Let m(x) be the first derivative of -2*x**5/5 + 33*x**4/2 - 118*x**3 - 1577*x**2 - 4332*x - 965. Let m(w) = 0. What is 