*3 - 4 + 5*b**2 - 12*b**3 - 16*b**2 - 14*b - v*b**2.
-2*(b + 1)**2*(3*b + 2)
Let v(s) be the third derivative of -1/96*s**4 + 10*s**2 + 0 - 1/48*s**3 + 0*s - 1/480*s**5. Factor v(f).
-(f + 1)**2/8
Let z(a) be the third derivative of -25*a**8/336 + 9*a**7/14 + 5*a**6/24 - 71*a**5/12 - 5*a**4 + 50*a**3/3 + 121*a**2 + 3. Suppose z(r) = 0. Calculate r.
-1, 2/5, 2, 5
Factor 33/4*s**3 + 19/4*s**2 + 7/4*s**5 + 25/4*s**4 + 0 + s.
s*(s + 1)**3*(7*s + 4)/4
Let o be 3*1/(6/4). Factor -o*j + 3 - 4*j - 3*j - 3*j**3 + 9*j**2.
-3*(j - 1)**3
Let o(x) = -x**2 + 10*x + 27. Let c be o(12). Find n, given that n**c - 3*n**4 + 3*n**2 - 4*n**3 + n**3 + 3*n - n**3 = 0.
-1, 0, 1
Let x(p) be the first derivative of -p**6/45 + p**4/6 - 2*p**3/9 - 21*p + 23. Let i(a) be the first derivative of x(a). Factor i(r).
-2*r*(r - 1)**2*(r + 2)/3
Find t such that 61*t**2 - 78*t**4 - 799 + 101*t**2 - 27*t**3 - 48*t + 799 - 9*t**5 = 0.
-8, -2, 0, 1/3, 1
Let y = -5776 - -23111/4. Suppose 1/2*b**2 + y*b - 1 = 0. Calculate b.
-4, 1/2
Let d be 6*2/(-12)*4 - -7. Find o such that 12*o - 5*o**d + 20*o**2 + 24*o + 21*o**3 + 4*o**4 - 28*o = 0.
-2, -1, 0
Factor 9*m + 17*m**3 + 6 - 2 + 53*m**2 + 10*m + 21*m.
(m + 1)*(m + 2)*(17*m + 2)
Let j(q) be the third derivative of -4*q**6/45 - q**5/3 + 13*q**4/9 - 2*q**3/3 - 321*q**2. Let j(g) = 0. Calculate g.
-3, 1/8, 1
Suppose 138*o - 125*o = 0. Let t(s) be the first derivative of -1/7*s**4 - 2/35*s**5 + 0*s + 5 - 2/21*s**3 + o*s**2. Determine d so that t(d) = 0.
-1, 0
Let f be 168/1260 + (-56)/(-30). Let p(w) be the first derivative of -8*w + 8/3*w**3 - w**4 + f*w**2 - 7. Let p(h) = 0. Calculate h.
-1, 1, 2
Let g(l) be the second derivative of l**5/40 + 8*l**4/3 + 43*l - 3. Suppose g(o) = 0. Calculate o.
-64, 0
Solve 0 + 0*d - 14/9*d**3 + 4/9*d**4 + 8/9*d**2 + 2/9*d**5 = 0.
-4, 0, 1
Let u = -1798 + 2732. Suppose -8*t + u - 8*t - 902 + 2*t**2 = 0. What is t?
4
Let b(a) be the second derivative of a**9/9240 - a**8/3080 - a**7/1260 - a**6/1980 + 25*a**4/12 - 4*a. Let v(d) be the third derivative of b(d). Factor v(k).
2*k*(k - 2)*(3*k + 1)**2/11
Let r = -771 + 773. Factor 3/7*u**3 - 3/7*u**5 - 3/7*u**r + 0*u + 3/7*u**4 + 0.
-3*u**2*(u - 1)**2*(u + 1)/7
Let v(m) be the first derivative of -m**7/420 - m**6/60 - m**5/30 - 13*m**3/3 - 10. Let k(y) be the third derivative of v(y). Factor k(d).
-2*d*(d + 1)*(d + 2)
Let x be (-78)/65 - (-224)/170. Factor 18/17 - 16/17*w**3 + 44/17*w**2 - 48/17*w + x*w**4.
2*(w - 3)**2*(w - 1)**2/17
Let u(n) be the second derivative of n**8/336 - n**7/168 - n**6/18 + n**5/6 + 7*n**3/6 - 7*n. Let v(f) be the second derivative of u(f). Solve v(g) = 0 for g.
-2, 0, 1, 2
Let u(d) = d**2 - 16*d + 29. Let a be u(14). Let y be a + -1 - 65/(-26). Suppose -2 - 4*n - y*n**2 - 1/2*n**3 = 0. Calculate n.
-2, -1
Suppose -7*w - 8 = -11*w. Let f(a) be the first derivative of -7 - 1/10*a**4 + 1/5*a**w + 8/25*a**5 + 0*a - 8/15*a**3. Solve f(m) = 0.
-1, 0, 1/4, 1
Let g = 3213551/35 - 91825. Let y = g - -69/7. Factor -1/5 + y*l - 2/5*l**2 + 3/5*l**4 - 2/5*l**3 - 1/5*l**5.
-(l - 1)**4*(l + 1)/5
Let t = -187 + 191. Let v(q) be the first derivative of 5 - 24*q + 30*q**2 + 21/4*q**t - 3/5*q**5 - 18*q**3. Solve v(y) = 0 for y.
1, 2
Let j(v) be the first derivative of -2*v**6/15 - 32*v**5/25 - 22*v**4/5 - 112*v**3/15 - 34*v**2/5 - 16*v/5 + 29. Solve j(m) = 0 for m.
-4, -1
Let d be (-25)/(-20)*(-40)/(-25). Suppose -144/7*t - 3/7*t**3 - 192/7 - 36/7*t**d = 0. Calculate t.
-4
Factor -10*t - 14*t**3 + 53 - 130*t - 249 - t**4 + 11*t**3 + 13*t**3 + 3*t**2.
-(t - 7)**2*(t + 2)**2
Let l be (-1)/((-16)/(-4))*(-2)/4. Let c(d) be the first derivative of -4 + 1/6*d**3 - 1/2*d + 1/4*d**2 - l*d**4. Factor c(p).
-(p - 1)**2*(p + 1)/2
Let m(d) be the second derivative of d**5/60 + 25*d**4/18 + 286*d**3/9 - 676*d**2/3 - 174*d. Factor m(o).
(o - 2)*(o + 26)**2/3
Let k be ((-8)/(-10))/((-6)/15). Let m be (6/3 - k) + -2. Factor -6*f**5 - 4*f**m + f**4 + f**4 + 4*f**5 + 2*f**4 + 2*f.
-2*f*(f - 1)**3*(f + 1)
Let m(y) = y**2 - 4. Let r be m(4). Let i = 14 - r. Factor 8*g**i + 2*g - 4*g**2 + 2*g - 2*g**2.
2*g*(g + 2)
Factor -3*w**2 + 8*w - 14*w**3 - w**2 - 46*w**4 + 50*w**4 + 6*w**3.
4*w*(w - 2)*(w - 1)*(w + 1)
Let v(z) = -z**3 + 9*z**2 - 8*z + 5. Let p be v(8). Suppose 0*f = p*f + 4*q - 7, 5*q + 10 = 0. Factor 1/5 - 1/5*m + 1/5*m**f - 1/5*m**2.
(m - 1)**2*(m + 1)/5
Let y(s) be the second derivative of -s**7/840 - s**6/120 + 3*s**5/40 - 3*s**4/4 + s. Let m(i) be the third derivative of y(i). Let m(a) = 0. What is a?
-3, 1
Let u(t) = -3*t + 42. Let w be u(11). Let v be ((-500)/w)/(-10) - 2. Suppose 2*d**2 + v*d**4 + 0 - 16/3*d**3 - 2/9*d = 0. What is d?
0, 1/4, 1
Suppose 37*b = 19*b + 72. Let z(r) be the second derivative of 5/6*r**3 + 10*r + 0*r**2 - 5/12*r**b + 0. Find n, given that z(n) = 0.
0, 1
Factor 0 - 2*b**2 + 1/2*b**4 - 7*b**3 + 28*b.
b*(b - 14)*(b - 2)*(b + 2)/2
Let f be ((18/(-5))/(-9))/(0 - (0 + -3)). Factor -f*w**2 + 2/5*w + 8/15.
-2*(w - 4)*(w + 1)/15
Let g(h) be the second derivative of 5*h**7/42 - 4*h**6/3 + 11*h**5/2 - 10*h**4 + 15*h**3/2 + 178*h. Factor g(w).
5*w*(w - 3)**2*(w - 1)**2
Let h(k) be the first derivative of k**8/840 + 13*k**7/420 + 3*k**3 - 7. Let u(i) be the third derivative of h(i). Factor u(q).
2*q**3*(q + 13)
Let a(x) be the third derivative of x**6/30 - x**5/3 + 7*x**4/6 - 2*x**3 - 2*x**2 + 21. Solve a(s) = 0.
1, 3
Let n = 1472 - 1468. Let o(d) be the third derivative of -2/135*d**5 + 2/27*d**3 - 7/108*d**n + 12*d**2 + 0*d + 0. Factor o(s).
-2*(s + 2)*(4*s - 1)/9
Let d = -1556 + 77803/50. Let n(f) be the second derivative of -1/4*f**4 + 0*f**2 - 2*f - d*f**6 + 21/100*f**5 + 1/10*f**3 + 0. Determine c so that n(c) = 0.
0, 1/3, 1
Let v(g) be the third derivative of g**6/60 - g**5/10 - 2*g**4 - 28*g**3/3 - 131*g**2. Factor v(s).
2*(s - 7)*(s + 2)**2
Suppose 0 = -0*d - 6*d + 12. Let m(v) = 4*v - 5. Let f be m(d). Factor 0*o + 0*o**f + 0*o**2 + 0 + 2/5*o**4.
2*o**4/5
Let w(j) be the second derivative of -j**7/14 - 2*j**6/5 - 3*j**5/20 + 7*j**4/2 + 10*j**3 + 12*j**2 + 30*j - 2. Let w(l) = 0. What is l?
-2, -1, 2
Let j(r) be the second derivative of r**8/11760 + r**7/2205 + 7*r**4/12 + 12*r. Let b(h) be the third derivative of j(h). Suppose b(x) = 0. Calculate x.
-2, 0
Let b = 4498 - 17991/4. Factor -3/4*w**2 + b*w**4 - 1/2 - 1/4*w**3 + 5/4*w.
(w - 1)**3*(w + 2)/4
Let g(h) be the first derivative of h**6/30 + 7*h**5/40 - h**4/4 + 28*h**3/3 - 12. Let a(r) be the third derivative of g(r). Factor a(o).
3*(o + 2)*(4*o - 1)
Let i = 75 + -73. Let c(d) be the second derivative of -3/2*d**i - 5*d + 0 - 1/4*d**4 + d**3. Factor c(b).
-3*(b - 1)**2
Let f(a) be the first derivative of -a**7/42 + a**6/30 + a**5/20 - a**4/12 - 22*a + 31. Let k(y) be the first derivative of f(y). Suppose k(b) = 0. Calculate b.
-1, 0, 1
Let b(v) be the first derivative of v**6/12 - v**5/2 + 3*v**4/8 + 5*v**3/6 - v**2 + 40. Factor b(q).
q*(q - 4)*(q - 1)**2*(q + 1)/2
Let d(w) be the first derivative of 5/4*w**4 - 32 + 5*w**3 + 0*w + 0*w**2. Find m, given that d(m) = 0.
-3, 0
Let m(w) be the third derivative of -w**7/350 - w**6/50 - w**5/20 - w**4/20 - 29*w**2. Solve m(v) = 0.
-2, -1, 0
Let t(v) = 4*v**3 + 362*v**2 - 16560*v + 16194. Let q(i) = i**3 - 1. Let g(c) = 6*q(c) - t(c). Determine j so that g(j) = 0.
1, 90
Let q be ((-18)/(-30))/(1/(-5)). Let u(z) = -15*z**2 - 8*z + 1. Let g(s) = 74*s**2 + 40*s - 6. Let v(c) = q*g(c) - 14*u(c). Factor v(h).
-4*(h + 1)*(3*h - 1)
Let l(i) = -19*i**3 + 27*i**2 - 28*i - 4. Let f(d) = -42*d**3 + 54*d**2 - 57*d - 9. Let r(t) = -4*f(t) + 9*l(t). Suppose r(g) = 0. Calculate g.
0, 1, 8
Let y be ((-18)/(-40))/((-630)/(-525)). Solve y*b + 3/4 - 3/8*b**2 = 0.
-1, 2
Let v(f) be the second derivative of 26*f + 8/3*f**4 - 64/3*f**3 - 1/10*f**5 + 0*f**2 + 0. Let v(x) = 0. What is x?
0, 8
What is d in -4 + 30*d**3 + 27*d**3 + 24*d**2 + 18*d + 8 - 47*d**3 = 0?
-1, -2/5
Let c(l) be the second derivative of -l**6/40 - 51*l**5/80 + 9*l**4/8 - 99*l + 2. Factor c(a).
-3*a**2*(a - 1)*(a + 18)/4
Let v(x) = 3*x**2 + 8*x + 4. Let d be v(-3). Suppose -48*j**2 - 43 - d*j + 16*j**3 - 2*j**4 + 11 + 71*j = 0. Calculate j.
2
Let b(q) = 1160*q**4 + 13380*q**3 + 10045*q**2 + 1980*q. Let w(i) = -129*i**4 - 1487*i**3 - 1116*i**2 - 220*i. Let h(j) = -4*b(j) - 35*w(j). Fac