 derivative of -q**6/360 + q**5/2 - 88*q**4/3 + 1936*q**3/9 + 2*q**2 + 192. Factor v(t).
-(t - 44)**2*(t - 2)/3
Solve -57 + 1/8*f**2 + 113/4*f = 0.
-228, 2
Factor -1/5*v - 7/5 + 1/5*v**3 + 7/5*v**2.
(v - 1)*(v + 1)*(v + 7)/5
Let c(g) = 5*g**3 + 25*g**2 - 150*g + 130. Let m(p) = -5*p**3 - 25*p**2 + 153*p - 131. Let r(d) = 4*c(d) + 5*m(d). Determine i, given that r(i) = 0.
-9, 1, 3
Let z(h) be the third derivative of 10*h - 8/3*h**3 + 2/105*h**7 + 0 + 1/15*h**6 - 1/5*h**5 - 4/3*h**4 - h**2. What is t in z(t) = 0?
-2, -1, 2
Suppose 0 = q - 5*r - 38 + 29, -3*q - 5*r + 27 = 0. Let j(m) be the second derivative of -19*m + 0 + 0*m**3 + q*m**2 - 1/6*m**4. Find v, given that j(v) = 0.
-3, 3
Let k(t) be the first derivative of -1/30*t**5 + t**3 - 3/2*t**2 - 7 + 0*t + 1/6*t**4. Let d(z) be the second derivative of k(z). What is m in d(m) = 0?
-1, 3
Let c = 13387711/7 - 1912530. Factor 9/7*n + c*n**2 + 18/7.
(n + 3)*(n + 6)/7
Let z(k) be the first derivative of -k**6/30 - 7*k**5/20 - 17*k**4/12 - 17*k**3/6 - 3*k**2 - 171*k - 77. Let t(y) be the first derivative of z(y). Factor t(a).
-(a + 1)**2*(a + 2)*(a + 3)
Let j(h) be the third derivative of -2/15*h**5 + 0*h - 1/56*h**8 - 138*h**2 + h**4 + 0*h**3 + 16/105*h**7 - 7/20*h**6 + 0. Suppose j(f) = 0. Calculate f.
-2/3, 0, 1, 2, 3
Suppose 2*g = -g - 10*g. Suppose 0*d - 5*d - 4*y = -8, -2*d - 2*y + 2 = g. Let -p**d - 35*p - 2 + 12*p + p**3 + 22*p + 3*p**2 = 0. Calculate p.
-1, 1, 2
Let s(q) be the third derivative of -3/40*q**6 + 1/24*q**5 + 0*q - 2*q**2 + 1/32*q**4 - 29/420*q**7 + 39 + 0*q**3 - 5/448*q**8. Solve s(m) = 0.
-3, -1, -1/5, 0, 1/3
Let j be 2 - ((-152)/38 - (-541)/15). Let l = -142/5 - j. Factor 14/3 - 1/3*c**2 + l*c.
-(c - 7)*(c + 2)/3
Let c(j) be the third derivative of j**5/30 + 25*j**4/24 + 5*j**3 + 138*j**2. Let i(d) = d**2. Let x(w) = -c(w) - 3*i(w). Factor x(m).
-5*(m + 2)*(m + 3)
Suppose 100*q = 4*c + 96*q - 32, -4*q - 16 = 0. Let o(r) be the second derivative of -3*r + 0*r**2 - 1/24*r**c + 1/6*r**3 + 0. Let o(m) = 0. Calculate m.
0, 2
Let m(g) be the second derivative of -3/10*g**5 + 10*g**2 - 34 - 5/3*g**4 - 3*g + 9*g**3. Solve m(o) = 0 for o.
-5, -1/3, 2
Let q be 25/(150/176) - 1/3. Let u be 2/4 - (-1445)/10. Let -119 + 0*a**4 - 195*a - u*a**2 - 45*a**3 - 5*a**4 + q = 0. Calculate a.
-3, -2, -1
Let b(c) = c**3 - 19*c**2 + 487*c - 2715. Let s be b(7). Find y, given that 232/7*y + 112*y**3 - s*y**2 - 24/7 = 0.
2/7, 3/8
Let i = 13 + -19. Let v = 10 + i. Find r, given that 23*r**4 - 8*r**v + 2*r**5 + 5*r**2 + 15*r**3 - 30*r**3 - 7*r**5 = 0.
0, 1
Let z be (-13)/(-78)*-2*(-4)/((-4)/(-9)). Let t(a) be the first derivative of 21 - 1/15*a**z + 3/10*a**2 + 0*a. Determine f so that t(f) = 0.
0, 3
Let t be -2 + -4 + 3 - (-391)/115. Suppose -6*q + 7*q = n - 4, -5*n + 6 = 2*q. Factor -1/5*c**n + t - 1/5*c.
-(c - 1)*(c + 2)/5
Let m(l) be the second derivative of -l**7/210 - l**6/60 + l**5/20 - 55*l**2/2 - 83*l. Let w(b) be the first derivative of m(b). Suppose w(k) = 0. Calculate k.
-3, 0, 1
Let t(h) = 2*h**4 - 2*h**3 + 2*h + 1. Let z(k) = -5*k**4 - 11*k**3 - 65*k**2 - 49*k + 124. Let q(w) = 10*t(w) + 5*z(w). What is a in q(a) = 0?
-7, -6, -3, 1
Let j(u) be the first derivative of 5/28*u**4 - 5/21*u**3 + 216 - 3/7*u**2 + 1/42*u**6 + 1/7*u**5 + 0*u. What is v in j(v) = 0?
-3, -2, -1, 0, 1
Let q = 10 + 1. Let w = q - 3. Determine f, given that 23*f + w + 16*f**2 - 52*f**2 - 2*f + 7*f = 0.
-2/9, 1
Let -4374 - 32/3*u**4 + 11340*u - 6918*u**2 - 560*u**3 = 0. What is u?
-27, 3/4
Factor -5*s**4 + 62*s**3 + 3201 + 93*s**3 - 3201.
-5*s**3*(s - 31)
Let c(d) = -d - 17. Let m(i) = 4*i**2 + 33*i - 955. Let k(l) = -5*c(l) - m(l). Factor k(r).
-4*(r - 13)*(r + 20)
Let p(i) be the second derivative of -i**6/780 + 2*i**5/195 - 5*i**4/156 + 2*i**3/39 - 51*i**2/2 - 90*i. Let x(d) be the first derivative of p(d). Factor x(m).
-2*(m - 2)*(m - 1)**2/13
Let a be (3 + 1 + -3 - 2)*-2. Find u such that 4*u**5 - 110*u**a - 40*u - 21*u**3 + 36*u**3 + 110*u**4 + 21*u**5 = 0.
-4, -1, -2/5, 0, 1
Let v be -19 + 5034/255 - (-5)/85. Determine f, given that 16/5*f - 12/5 - v*f**2 = 0.
1, 3
Let 109*i**3 - 25*i - 19*i**3 - 40 - 65*i**3 + 40*i**2 = 0. Calculate i.
-8/5, -1, 1
Let q be (2/43 - 18304/129129)*-10. Factor -q + 2/7*v + 4/7*v**2 + 2/21*v**3.
2*(v - 1)*(v + 2)*(v + 5)/21
Let s(z) = 6*z - 947 - z**2 + 8*z + 964. Let n be s(15). Factor 2*i**2 + i**2 + n + 4*i**2 - 9*i**2 + 2*i**3 - 2*i.
2*(i - 1)**2*(i + 1)
Factor -8362/13*h - 3188/13*h**3 + 154/13*h**4 - 2/13*h**5 + 8660/13*h**2 + 2738/13.
-2*(h - 37)**2*(h - 1)**3/13
Suppose a - 5*f - 98 = 0, 317 = 4*a + 75*f - 80*f. Let j = a + -215/3. Factor 0 - 8/3*c**3 - 4*c**4 + 0*c + j*c**2.
-4*c**2*(c + 1)*(3*c - 1)/3
Suppose -61 = 82*k - 189 - 36. Solve -16/9*m**4 + 8/9*m**k - 20/9*m + 4/9*m**5 + 8/9 + 16/9*m**3 = 0 for m.
-1, 1, 2
Factor -299/4*q**2 + 251/2*q + 43/4*q**3 + 6.
(q - 4)*(q - 3)*(43*q + 2)/4
Suppose -108 - 36 = 9*g. Let i be 1/(12/45) - 4/g. Determine x, given that 2*x**i + x**3 - 27*x**2 + 3*x**4 + 4*x + 22*x**2 - 3*x**5 - 2*x = 0.
-1, 0, 2/3, 1
Let h(l) be the third derivative of -l**8/1344 - l**7/210 + l**6/40 - l**5/120 - 11*l**4/96 + l**3/4 - 3986*l**2. Solve h(r) = 0.
-6, -1, 1
Let l be 10*(216/60 + 21/(-7)). Let j(n) be the second derivative of 5*n**5 - 42*n + 125/3*n**4 + 1/6*n**l + 0*n**2 + 0 + 0*n**3. Factor j(h).
5*h**2*(h + 10)**2
Let y(w) be the first derivative of w**5/30 - 2*w**4/3 + 16*w**3/3 + 26*w**2 + 6. Let o(s) be the second derivative of y(s). Factor o(a).
2*(a - 4)**2
Let z(i) be the second derivative of 0*i**2 + 1/12*i**4 + 2/3*i**3 + 0 - 200*i. Factor z(h).
h*(h + 4)
Suppose -69*a = -190*a. Let h(u) be the first derivative of a*u + u**3 + 4 + 3/2*u**2. Suppose h(q) = 0. What is q?
-1, 0
Factor -1/3*s**2 + 100 - 148/3*s.
-(s - 2)*(s + 150)/3
Determine l so that -206/3*l + 100 + 2/3*l**3 - 32*l**2 = 0.
-3, 1, 50
Let l(r) be the second derivative of r**5/90 + 25*r**4/54 - 26*r**3/27 + 7*r - 33. Let l(n) = 0. Calculate n.
-26, 0, 1
Let x(v) be the second derivative of 441/4*v**2 + 0 + 42*v + 1/24*v**4 + 7/2*v**3. Factor x(h).
(h + 21)**2/2
Let g = 177196/195 - 13612/15. Let 8/13*l**4 - 2/13*l**5 - 2/13*l**3 - 20/13*l**2 + 8/13*l + g = 0. Calculate l.
-1, 2
Let z(p) be the third derivative of 0 - 7*p + 0*p**3 + 1/12*p**5 + 1/140*p**7 + 0*p**4 + 17/240*p**6 + 3*p**2. Solve z(b) = 0.
-5, -2/3, 0
Factor 1/12 + 134/3*h + 535/12*h**2.
(h + 1)*(535*h + 1)/12
Let x(o) be the second derivative of -18 + o + 1/7*o**3 + 9/5*o**5 + 0*o**2 + 18/35*o**6 + 25/28*o**4. Factor x(t).
3*t*(t + 2)*(6*t + 1)**2/7
Let -95/3*j**2 + 18818/3 + 1/6*j**3 + 8633/6*j = 0. What is j?
-4, 97
Let w = 111695/14898 + 20/7449. Factor -w*d + 3/4*d**3 - 3/4*d**2 - 6.
3*(d - 4)*(d + 1)*(d + 2)/4
Let y(s) be the second derivative of -s**4/3 + 2*s**2 - 78*s. Let d(m) = 2. Let r(h) = 16*d(h) + y(h). Factor r(g).
-4*(g - 3)*(g + 3)
Suppose 5*h - 6 = 2*b, 9 = -h - 5*b + 21. Solve 24*d**h - 23*d**3 + 8*d**3 + 160*d + 4*d**3 - 21*d**3 + 4*d**4 + 65 + 35 = 0.
-1, 5
Let q be (-525)/(-105) - ((-156)/(-99) + -1). Let u = -287/132 + q. Let u*k**2 - 3/2*k - 3/4 = 0. Calculate k.
-1/3, 1
Factor 0 + 704/13*v + 2/13*v**2.
2*v*(v + 352)/13
Let w(t) be the third derivative of t**6/4 + 7*t**5/12 - 1356*t**2. Find i such that w(i) = 0.
-7/6, 0
Let -6 - 3/4*x**4 - 33/2*x - 6*x**3 - 63/4*x**2 = 0. Calculate x.
-4, -2, -1
Determine n so that 85*n - 87*n**2 - 115*n + 82*n**2 + 135 = 0.
-9, 3
Let j be 837/(-60) + 2*21/6 - -7. Let y(n) be the third derivative of -1/150*n**5 - j*n**4 + 0*n + 0 - 22*n**2 + 1/900*n**6 - 1/9*n**3. Factor y(o).
2*(o - 5)*(o + 1)**2/15
Let u = -4910 - -4910. Let v be 1190/(-420) - (2/(-2) - 2). Factor u + 0*z + v*z**2.
z**2/6
Let o(v) = 0*v**3 + 4 + 13*v**2 - 125*v + 106*v - 11*v**3. Let l(m) = 5*m**3 - 6*m**2 + 9*m - 2. Let s = 6 + -12. Let p(f) = s*o(f) - 13*l(f). Factor p(j).
(j - 1)**2*(j + 2)
Let z(l) be the third derivative of l**5/240 - 319*l**4/96 - 40*l**3/3 + 2208*l**2. Factor z(f).
(f - 320)*(f + 1)/4
Let v(a) be the first derivative of a**5/5 - a**4 - 239*a**3/3 - 117*a**2 - 1096. Let v(n) = 0. What is n?
-13, -1, 0, 18
Let d = 57 + -54. Suppose q + 3*v - 3 = 4*q, d*q = -v + 9. Factor -5*g**q + 6 - 3 + 3*g**2 - 2*g + 1.
-2*(g - 1)*(g + 2)
Let x(w) = 20*w + 160. Let t be x(