p(j). Factor u(v).
-(v - 3)*(v - 1)/4
Let m = 1548/13 - 52774/429. Let n = -36/11 - m. Let -r + 1/3*r**2 + 1/3 + r**3 - n*r**4 = 0. Calculate r.
-1, 1/2, 1
Let x be 282/70 + 1029/(-1715). What is f in 16/7*f - 32/7 - 4/7*f**3 + x*f**2 - 4/7*f**4 = 0?
-2, 1, 2
Let b(m) be the third derivative of -m**4/24 + 3*m**3/2 + 3*m**2. Let v be b(5). Solve 11/5*x**2 - 2/5*x + 17/5*x**v + 0 - 21/5*x**3 - x**5 = 0 for x.
0, 2/5, 1
Find f, given that 4*f - 3*f**2 - 2*f**2 - 2 + 5 + 21 + f**2 = 0.
-2, 3
Factor 80*a**3 + 2*a - 237*a**3 + 73*a**3 - 52 + 82*a**3 + 52*a**2.
-2*(a - 26)*(a - 1)*(a + 1)
Let t(h) = -6*h**2 - 7*h + 3. Let u(n) = -3*n**2 + 0*n**2 - 1 + 4*n**2 + n. Let y be -8 + 12*10/(-20). Let g(z) = y*u(z) - 2*t(z). Factor g(l).
-2*(l - 2)*(l + 2)
Factor -8*a + 242*a**4 - 119*a**4 + 14*a**3 - 32 - 121*a**4 + 24*a**2.
2*(a - 1)*(a + 2)**2*(a + 4)
Let a(l) be the third derivative of 1/120*l**6 + 1/60*l**5 + 0 - 2/3*l**3 + 0*l + 12*l**2 - 1/6*l**4. Determine p so that a(p) = 0.
-2, -1, 2
Let q(t) = t + 6. Let b be q(-4). Let v(g) be the first derivative of 1/2*g**2 - b - 1/12*g**3 - 3/4*g. Find y such that v(y) = 0.
1, 3
Let k(p) be the first derivative of 0*p**3 - 2/7*p**4 + 2/35*p**5 + 0*p**2 + 0*p + 7. Let k(a) = 0. What is a?
0, 4
Find h such that 26/3*h**2 + 48 + 2/3*h**3 + 36*h = 0.
-6, -4, -3
Let f(z) be the third derivative of -z**7/3360 - z**6/1440 + 5*z**3/3 + 18*z**2. Let m(r) be the first derivative of f(r). Find q, given that m(q) = 0.
-1, 0
Factor -66*l**5 + 36*l**2 + 21*l**4 - 18*l**3 - 30*l**3 + 63*l**5.
-3*l**2*(l - 3)*(l - 2)**2
Let a(r) = -r**3 - r**2 + r - 2. Let h(q) = q**3 - 51*q**2 - 730*q - 672. Let d(o) = 6*a(o) + 3*h(o). Factor d(y).
-3*(y + 1)*(y + 26)**2
Let u = -81 - -81. Let m(a) be the third derivative of 0*a**4 + 0*a + 3*a**2 + u + 1/200*a**6 - 1/350*a**7 + 0*a**3 + 0*a**5. Factor m(f).
-3*f**3*(f - 1)/5
Suppose 15*g = 14*g - f + 1, 4 = f. Let v be 4 + ((-10)/30 - g/9). Find o, given that 0*o + 0*o**2 + 0 - 3/2*o**5 + 0*o**3 + 3/2*o**v = 0.
0, 1
Let u be (3 - 7)/(-4)*(1 + -8). Let b(l) = -3*l**2 + 34*l + 37. Let m(p) = 2*p**2 - 23*p - 25. Let i(a) = u*m(a) - 5*b(a). Let i(v) = 0. Calculate v.
-1, 10
Let i(s) be the second derivative of s**4/4 + 5*s**3/6 + 4*s**2 - 35*s. Let t(r) = -r**2 - 1. Let p(k) = i(k) + 2*t(k). Factor p(d).
(d + 2)*(d + 3)
Let g(n) be the first derivative of 841*n**3/9 + 290*n**2/3 + 100*n/3 + 56. Let g(v) = 0. Calculate v.
-10/29
Let r(h) be the first derivative of 4*h**3/15 - 84*h**2/5 + 1764*h/5 - 20. Suppose r(m) = 0. What is m?
21
Let h be (-5)/(-30) + 51/18 + -2. Suppose 2*r - a - 5 + 2 = 0, 3*r - 5*a - h = 0. Factor -4/7 - 6/7*t**r + 2*t.
-2*(t - 2)*(3*t - 1)/7
Let o(s) be the first derivative of s**7/525 - s**6/75 + s**5/50 - 15*s**2 + 3. Let y(t) be the second derivative of o(t). Factor y(g).
2*g**2*(g - 3)*(g - 1)/5
Let w(m) = -m**3 + 6*m**2 + 24*m + 17. Let o(j) = -4*j**2 - 20*j - 16. Let h(x) = 3*o(x) + 4*w(x). Factor h(p).
-4*(p - 5)*(p + 1)**2
Factor 0*v**2 + 12*v**4 - 50*v**3 - 25*v + 72*v**3 - 5*v - 6*v**2 - 14.
2*(v + 1)**3*(6*v - 7)
Let t be 2 + 0*(-2)/2. Suppose -t*z = -3*v - 24, -2*z + z + v = -10. Determine s, given that -3*s**5 + 2*s**2 + 2*s**5 - 2*s**5 + 4*s**2 + 3*s - z*s**4 = 0.
-1, 0, 1
Let q(d) = -3*d**2 - 45*d + 84. Let u be (20 - 5)*(5/3 - 2). Let z(w) = w**2 + 13*w - 24. Let p(l) = u*q(l) - 18*z(l). Factor p(v).
-3*(v - 1)*(v + 4)
Let s(d) = -d**3 + 96*d**2 + 196*d. Let l be s(98). Find n, given that 4/7*n**4 + l*n**3 - 4/7*n**2 + 0 + 2/7*n - 2/7*n**5 = 0.
-1, 0, 1
Let v(s) = s**2 - 5*s + 4. Let u = -29 - -27. Let y(x) be the second derivative of x**3/6 - x**2/2 - 3*x. Let l(a) = u*v(a) - 6*y(a). What is b in l(b) = 0?
1
Determine b, given that 188*b**4 - 431*b**4 + 17*b**2 + 15*b**2 + 211*b**4 + 126*b**3 + 2*b**5 - 128*b = 0.
-1, 0, 1, 8
Let p(v) be the second derivative of -v**8/2520 + v**7/420 - v**5/45 - 19*v**3/6 - 7*v. Let i(q) be the second derivative of p(q). Let i(c) = 0. What is c?
-1, 0, 2
Let q(w) be the first derivative of -w**4/12 - 5*w**3/3 + 26*w**2/3 - 12*w - 168. Solve q(s) = 0.
-18, 1, 2
Suppose 1203*a + 4*x = 1208*a + 14, -3*a + 30 = 4*x. Find p, given that 1 + p**3 - 1/4*p**4 - 3/4*p**a - p = 0.
-1, 1, 2
Suppose 0 = 5*a - 3*a - 3*g - 15, 0 = -5*a + 5*g + 25. Find n such that -1/3*n**4 + a + n**3 + 0*n - 2/3*n**2 = 0.
0, 1, 2
Let a be (-4)/(11 + -3)*0. Suppose -2*r - 4*r + 30 = a. Solve u**2 + 2*u**3 + 2*u - 13*u**4 - 2*u**3 - r*u**5 - 9*u**3 = 0.
-1, 0, 2/5
Let k(b) be the first derivative of 0*b**2 - 31 + 4/5*b**5 + 3*b**4 + 0*b + 8/3*b**3. Find p, given that k(p) = 0.
-2, -1, 0
Let x be (-38)/(-57) - (-7)/3. Let -2*y**x + 19*y**2 - y**3 - 25*y**2 = 0. Calculate y.
-2, 0
Find u such that 0 + 154/13*u + 2/13*u**2 = 0.
-77, 0
Let v(u) be the second derivative of -u**5/110 + 2*u**4/33 + 7*u**3/33 - 10*u**2/11 - 49*u. What is z in v(z) = 0?
-2, 1, 5
Let z(n) be the first derivative of n**4/30 + 4*n**3/15 + n**2/3 + 517. Factor z(q).
2*q*(q + 1)*(q + 5)/15
Let o(u) be the first derivative of u**8/2856 - 2*u**7/1785 + u**5/255 - u**4/204 - 8*u**2 - 7. Let p(m) be the second derivative of o(m). Factor p(g).
2*g*(g - 1)**3*(g + 1)/17
Suppose 0*x + x = 4. Let m be (-2 + x)/(-2)*-5. Solve 20 - 4 - i**2 + 0*i**2 + 20*i + m*i**2 = 0 for i.
-4, -1
Solve -1/7*g**5 - 18/7*g**3 - 4/7*g**2 + 19/7*g - 8/7*g**4 + 12/7 = 0.
-4, -3, -1, 1
Let z(v) = 7 + 10*v**2 - 5*v**3 - 11*v - 22 + 15. Let j(y) = y. Let p(u) = 6*j(u) + z(u). Solve p(x) = 0 for x.
0, 1
Let j(o) be the first derivative of o**6/40 - o**5/5 + 5*o**4/8 - o**3 + 5*o**2 + 8. Let q(z) be the second derivative of j(z). Factor q(p).
3*(p - 2)*(p - 1)**2
Factor -6/11*a**3 + 0 + 2/11*a**4 + 6/11*a**2 - 2/11*a.
2*a*(a - 1)**3/11
Suppose -4*g**3 + 0*g**3 - 65*g**2 - 104*g - 56*g**2 + 13*g**2 = 0. Calculate g.
-26, -1, 0
Let t = 254 + -250. Let h(m) be the second derivative of -m + 0 - 2/15*m**6 - 4/3*m**3 + 0*m**t + 2/5*m**5 + 2*m**2. Factor h(n).
-4*(n - 1)**3*(n + 1)
Factor -2/3*d**2 + 2/3*d**4 + 0 + 0*d + 2/3*d**3 - 2/3*d**5.
-2*d**2*(d - 1)**2*(d + 1)/3
Let w(j) be the first derivative of j**3/18 - 2*j**2/3 + 2*j + 28. Find u such that w(u) = 0.
2, 6
Let q be 2 - (10/50 + (-2 - -5)/(-15)). Factor 1/2*t**q - 1/6 - 1/3*t.
(t - 1)*(3*t + 1)/6
Let y(l) be the second derivative of -7*l**4/16 - 15*l**3/8 - 3*l**2 - 15*l + 6. Factor y(q).
-3*(q + 1)*(7*q + 8)/4
Suppose 48 = 4*v - 4*c, c + 34 = 2*v - 3*c. Suppose 3*m + 1 - v = 0. Suppose -1/5 - 1/5*i**m - 2/5*i = 0. Calculate i.
-1
Let v(f) = 106*f**4 + 20*f**3 - 286*f**2 - 240*f - 40. Let m(p) = -21*p**4 - 4*p**3 + 57*p**2 + 48*p + 8. Let a(g) = 16*m(g) + 3*v(g). Solve a(x) = 0.
-1, -2/9, 2
Let 16 + 2 + 46*i + 12*i**3 + 12 + 24 - 12*i**4 + 102*i**2 - 3*i**5 + 89*i = 0. Calculate i.
-3, -2, -1, 3
Let u(q) = 3 + q**3 + 3*q - 6 + q**2 + 2 - 6*q. Let l be u(-2). Factor l + 1 + 2*t**2 + 4*t + 0*t.
2*(t + 1)**2
Let j(a) be the second derivative of -2*a**6/15 + 3*a**5/5 - 2*a**4/3 + 4*a + 5. Suppose j(h) = 0. Calculate h.
0, 1, 2
Solve -36504/7 - 6/7*x**2 + 936/7*x = 0 for x.
78
Let r(f) be the first derivative of -2*f**3/27 - 7*f**2/9 + 220. Factor r(q).
-2*q*(q + 7)/9
Let w(g) be the third derivative of -g**8/560 + 3*g**7/350 - g**6/100 - 20*g**2. Let w(k) = 0. Calculate k.
0, 1, 2
Let t be (-1)/2 + 19/5130*165. Factor -t*w**3 + 4/9*w - 4/9*w**2 + 1/9*w**4 + 0.
w*(w - 2)*(w - 1)*(w + 2)/9
Let n = 116 - 222. Let u = n + 532/5. Factor -1/5*s**3 + 0 - 1/5*s + u*s**2.
-s*(s - 1)**2/5
Let h(f) be the second derivative of 5/2*f**4 + 15*f + 1/4*f**5 - 35/6*f**3 + 0 + 0*f**2. What is k in h(k) = 0?
-7, 0, 1
Let k(q) be the third derivative of -q**6/60 - q**5/15 - q**4/12 + q**2 - 25*q. Factor k(f).
-2*f*(f + 1)**2
Let n = -12553 - -62767/5. Solve n*b**2 + 6/5 - 8/5*b = 0.
1, 3
Let w(i) be the second derivative of -i**6/120 - i**5/5 - 2*i**4 - 5*i**3/6 - 20*i. Let p(h) be the second derivative of w(h). Factor p(k).
-3*(k + 4)**2
Let f(y) = y**3 - 2*y**2 + y - 2. Let z = 13 - 15. Let t(r) = -2*r**3 + 2*r**2 - 2*r + 3. Let i(d) = z*t(d) - 3*f(d). Factor i(o).
o*(o + 1)**2
Let c(p) be the second derivative of -17*p + 9/10*p**6 + 0 - 7/2*p**3 + 21/20*p**5 - 11/4*p**4 + 3*p**2. What is i in c(i) = 0?
-1, 2/9, 1
Let b(l) be the third derivative of l**7/1155 - l**6/220 - 8*l**5/16