+ 3/20*q**h - 3/10*q**2 + 0*q. Let s(r) = 0. Calculate r.
-1, 0, 1
Factor 16/9*o + 14/9 + 2/9*o**2.
2*(o + 1)*(o + 7)/9
Solve 27*g + 26*g + 18*g - 25*g**3 + 15*g**2 - 61*g = 0.
-2/5, 0, 1
Factor 19*u**3 + 16*u**3 - 2*u + 36 + 16*u**3 + 14*u**3 - 63*u**3 - 36*u**2.
2*(u - 18)*(u - 1)*(u + 1)
Let l be 12/4032*32*(3 + 12). Solve 8/7*g**4 - 32/7*g**2 + 34/7*g**3 - l*g + 0 = 0 for g.
-5, -1/4, 0, 1
Let h(x) be the first derivative of -x**9/3024 - x**8/1680 - 4*x**3 + 4. Let a(w) be the third derivative of h(w). Suppose a(l) = 0. What is l?
-1, 0
Let x(w) = -3*w**2 + 12*w - 9. Let l(d) = -d**2 + 3*d - 2. Let i = -34 + 29. Let z(c) = c**2 + 4*c + 4. Let h be z(i). Let u(f) = h*l(f) - 2*x(f). Factor u(j).
-3*j*(j - 1)
Let s(a) be the third derivative of -a**9/2160 + a**8/1008 + 4*a**7/315 + a**6/45 - 11*a**5/60 + 8*a**2. Let f(t) be the third derivative of s(t). Factor f(c).
-4*(c - 2)*(c + 1)*(7*c + 2)
Let z = 25 - 19. Factor -67 + 70 + 0*y**3 + 6*y**3 - z*y - 3*y**2.
3*(y - 1)*(y + 1)*(2*y - 1)
Let i(p) be the second derivative of 0*p**2 + 0 - 1/147*p**7 + 1/105*p**6 + 0*p**5 + 0*p**4 + 0*p**3 + 15*p. Suppose i(f) = 0. Calculate f.
0, 1
Find j, given that 27*j**2 - 97 + 35*j**2 + 697 + 620*j + 5*j**3 + 108*j**2 = 0.
-30, -2
Let t(r) = -2*r**3 + 12*r**2 + r - 6. Let j be t(6). Factor 0*y**2 + j - 1/2*y**3 + 1/2*y.
-y*(y - 1)*(y + 1)/2
Suppose 16/9*g**5 + 52/3*g**4 + 0*g - 100/9*g**2 + 40*g**3 + 0 = 0. Calculate g.
-5, 0, 1/4
Suppose -76*c + 42 = -34*c - 28*c. Factor 0 + 1/7*f**c + 1/7*f - 2/7*f**2.
f*(f - 1)**2/7
Factor 38*i**2 + 2*i - 77*i**2 + 38*i**2 + 18*i - 19.
-(i - 19)*(i - 1)
Let q = 44/117 + -2/13. Solve -q*x + 2/9*x**4 + 2/9*x**3 + 0 - 2/9*x**2 = 0.
-1, 0, 1
Let w(z) = -32*z**4 - 10*z**3 - 86*z**2 + 26*z + 254. Let b(t) = -7*t**4 - 2*t**3 - 17*t**2 + 5*t + 51. Let a(j) = 28*b(j) - 6*w(j). What is o in a(o) = 0?
-2, 2, 3
Let v(z) be the third derivative of 5*z**8/112 + 13*z**7/70 - z**6/40 - 17*z**5/20 - z**4/2 + 2*z**3 - 50*z**2. Let v(w) = 0. Calculate w.
-2, -1, 2/5, 1
Let p(y) = -2*y**3 - 2*y**2 - y. Let j(f) = 16*f**3 + 168*f**2 + 150*f - 304. Let n(x) = -j(x) - 6*p(x). Factor n(k).
-4*(k - 1)*(k + 2)*(k + 38)
Let l(z) be the second derivative of z**6/135 - z**5/15 + 13*z**4/54 - 4*z**3/9 + 4*z**2/9 + 909*z. Suppose l(b) = 0. What is b?
1, 2
Let w = 138/131 + 896/393. Factor -4/3*h - 2/15*h**2 - w.
-2*(h + 5)**2/15
Let c(m) = -m**2 + 5*m - 2. Let b be c(2). Suppose -b*t - t + 5*l = -45, -t = -3*l - 19. Factor -10*r - 7*r - t + 2*r**2 + 15*r.
2*(r - 2)*(r + 1)
Let v(x) = -x**2. Let i(b) = 7*b**2 - 468*b + 18252. Let f(m) = i(m) + 4*v(m). Suppose f(q) = 0. What is q?
78
Let m(o) be the second derivative of 0 + 21/20*o**5 + 1/10*o**6 + 12*o**2 + 9/2*o**4 - 15*o + 10*o**3. Suppose m(p) = 0. Calculate p.
-2, -1
Factor 3*h**4 - 114*h + 11*h**3 - 39*h**2 - 8*h**2 + 7*h**3 - 63 + 11*h**2.
3*(h - 3)*(h + 1)**2*(h + 7)
Determine h, given that 20/3*h + 2/3*h**3 + 14/3*h**2 + 0 = 0.
-5, -2, 0
Let n(u) = u**2. Let b(w) = -9*w**2 + 6*w. Let t(z) = b(z) + 6*n(z). Let i be t(2). Factor 13/3*f**3 + i*f - 2/3*f**2 - 7*f**4 + 0.
-f**2*(3*f - 1)*(7*f - 2)/3
Let b(h) be the third derivative of 0*h**3 + 3/350*h**7 + 9*h**2 + 0 + 0*h - 1/60*h**4 - 3/100*h**5 + 1/300*h**6. Suppose b(j) = 0. Calculate j.
-1, -2/9, 0, 1
Let h(r) be the first derivative of -1/21*r**3 - 7 - 4*r**2 + 0*r**4 + 0*r + 1/210*r**5. Let v(j) be the second derivative of h(j). Find g such that v(g) = 0.
-1, 1
Let r(j) be the second derivative of j**7/84 + 13*j**6/60 + 6*j**5/5 + 17*j**4/6 + 8*j**3/3 - 717*j. Factor r(q).
q*(q + 1)*(q + 2)**2*(q + 8)/2
Let j = -16359/2 + 8182. Factor j*q**2 + q + 2*q**3 + 1/2*q**4 + 0.
q*(q + 1)**2*(q + 2)/2
Suppose -4*o + 30 = 22. Factor -o*a - a - 65*a**2 + 62*a**2 + 0*a.
-3*a*(a + 1)
Let d = -579 + 20845/36. Let l(m) be the second derivative of 2/15*m**5 + 0 - 1/9*m**4 + d*m**3 - m + 0*m**2. Find v such that l(v) = 0.
0, 1/4
Let f(a) be the third derivative of -2*a**6/3 - 41*a**5/15 - a**4/3 + 127*a**2. Factor f(s).
-4*s*(s + 2)*(20*s + 1)
Let v = -1 - -7. Solve 2*r + v*r**2 + 19*r**3 + 0*r**4 + r**4 + r**4 - 13*r**3 = 0.
-1, 0
Factor -42 - 8209*f**2 + 4068*f**2 - 83*f + f**3 + 4101*f**2.
(f - 42)*(f + 1)**2
Let h(l) be the second derivative of l**6/90 - l**5/15 - l**3/6 - 5*l. Let y(c) be the second derivative of h(c). Factor y(o).
4*o*(o - 2)
Let x(k) be the second derivative of -k**7/1470 + k**6/210 + 3*k**5/70 + 5*k**4/42 + 47*k**3/6 - 3*k. Let p(a) be the second derivative of x(a). Factor p(t).
-4*(t - 5)*(t + 1)**2/7
Let n = 71 + -58. Factor -7*v**5 + 4*v**4 - 4*v**2 - 9*v**3 + n*v**3 + 3*v**5.
-4*v**2*(v - 1)**2*(v + 1)
Solve 37*p - 206*p**3 - 71 + 82*p**2 + 46*p**3 + 148*p + 28*p**2 + 121 - 25*p**5 - 160*p**4 = 0.
-5, -1, -2/5, 1
Let a(p) be the second derivative of -p**7/357 - 7*p**6/51 - 198*p**5/85 - 216*p**4/17 + 576*p**3/17 - 2*p. Factor a(j).
-2*j*(j - 1)*(j + 12)**3/17
Suppose 11*y = 17*y. Let i(g) be the second derivative of -5*g + 2/27*g**3 - 1/54*g**4 + y + 0*g**2. Find n such that i(n) = 0.
0, 2
Let k(g) be the third derivative of 12*g**2 + 0*g**4 + 0*g**3 + 1/40*g**6 + 7/20*g**5 + 0 + 0*g. Determine p, given that k(p) = 0.
-7, 0
Let d(b) be the second derivative of 2/3*b**3 + 1/5*b**5 - 4/3*b**4 + 7/15*b**6 - 4/21*b**7 + b**2 + 0 - 14*b. Solve d(u) = 0 for u.
-1, -1/4, 1
Let j(z) = z**4 + z - 1. Let i(b) be the third derivative of b**7/42 + b**6/120 + b**4/4 - b**3 + b**2. Let v(d) = i(d) - 6*j(d). Determine k so that v(k) = 0.
0, 1
Suppose 0 = 9*l - 10*l - 5. Let o(j) = 6*j**2 - 16*j - 16. Let v(x) = 2*x**2 - 5*x - 5. Let p(r) = l*o(r) + 16*v(r). Factor p(s).
2*s**2
Let f(l) = l**3 + 46*l**2 + 167*l + 4. Let t be f(-4). Let u(v) be the first derivative of -v**3 + 1/4*v**4 + 0*v**2 + t + 0*v. Factor u(g).
g**2*(g - 3)
Let y = 34 - 34. Let c(o) be the second derivative of y - 1/12*o**3 - 1/48*o**4 + 0*o**2 - 3*o + 1/80*o**5. Factor c(s).
s*(s - 2)*(s + 1)/4
Factor 8*w**3 + 15*w**4 - 7*w**3 - w**3 + 10*w**3 + 5*w**5.
5*w**3*(w + 1)*(w + 2)
Let v(a) be the first derivative of 0*a**4 + 1/36*a**6 + 15 - 1/15*a**5 + 1/9*a**3 + 0*a - 1/12*a**2. Factor v(c).
c*(c - 1)**3*(c + 1)/6
Let p(n) be the first derivative of n**4/4 + 3*n**3 + 4*n**2 + 3*n + 41. Let a(c) = 4*c**3 + 28*c**2 + 24*c + 10. Let w(q) = -3*a(q) + 10*p(q). Factor w(m).
-2*m*(m - 4)*(m + 1)
Let s(c) = -2*c**3 + 74*c**2 - 650*c - 2. Let l(d) = 6*d**3 - 223*d**2 + 1951*d + 7. Let k(i) = 2*l(i) + 7*s(i). Let k(a) = 0. Calculate a.
0, 18
Factor 413 + 15*u + u**2 - 208 - 221.
(u - 1)*(u + 16)
Let l(m) = 2*m**2 - 5*m - 42. Let x be l(6). Let a(h) be the third derivative of 4/3*h**3 + 1/120*h**5 + 0 + x*h + 2*h**2 + 1/6*h**4. Factor a(w).
(w + 4)**2/2
Let z(t) be the third derivative of t**4/24 + 7*t**2. Let b(f) = f**2 + 5*f + 9. Suppose k - 6*k = 5. Let u(n) = k*z(n) - b(n). Solve u(y) = 0 for y.
-3
Let f(k) = k**3 + k**2 - 12*k. Let y be f(-4). Let z(n) be the second derivative of 0*n**3 + y + 1/4*n**2 - 1/20*n**6 - 1/4*n**4 + 1/5*n**5 + n. Factor z(d).
-(d - 1)**3*(3*d + 1)/2
Factor 0 - 6/5*w**3 - 2/5*w - 6/5*w**2 - 2/5*w**4.
-2*w*(w + 1)**3/5
Let w(x) be the third derivative of x**7/1155 + x**6/660 + 19*x**2 + 6. Factor w(k).
2*k**3*(k + 1)/11
Let z be -3*-1*(-4)/(-6). Suppose -3*w + 2*w = -z. Suppose 48*h**3 - h**4 - 49*h**3 + h**w + h**5 + 4*h - 4*h = 0. What is h?
-1, 0, 1
Let t(q) be the first derivative of q**6/36 + 4*q**5/15 - 5*q**4/12 - 4*q**3/9 + 3*q**2/4 + 141. Let t(c) = 0. Calculate c.
-9, -1, 0, 1
Suppose 9*x - 7 = 20. Let z be (0/(6/x))/(-6 - -8). Factor -1/2*y**2 - 1/2*y**4 + 0*y + y**3 + z.
-y**2*(y - 1)**2/2
What is w in -61*w**2 - 8*w**3 + w**3 + 49*w**2 - 2*w**3 + 12*w = 0?
-2, 0, 2/3
Solve -35*d**2 - 16/3 - 88/3*d - 37/3*d**3 - 4/3*d**4 = 0 for d.
-4, -1, -1/4
Determine m so that -10*m**3 + 5*m**5 + 5*m - 9*m**2 + 190 - 21*m**2 + 15*m**4 - 175 = 0.
-3, -1, 1
Let b(s) = -s**5 - s**3 - s**2. Let t(f) = 26*f**4 + 70*f**3 - 34*f**2 - 320*f - 288. Let n(j) = 2*b(j) - t(j). What is p in n(p) = 0?
-9, -2, 2
Let q(f) = f**2 - 2*f + 1. Let l be (28/(-14))/((-4)/(4 - 2)). Let t be q(l). Factor 4/5 + t*a - 4/5*a**2.
-4*(a - 1)*(a + 1)/5
Let c(u) be the third derivative of -u**6/360 + u**5/60 + u**4/18 + 2*u**2 - 183. Let c(l) = 0. What is l?
-1, 0, 4
Let b(y) be the