q(l) = 0?
-9, 0
Factor 20/7*r**4 + 0 + 108/7*r**2 + 72/7*r**3 + 2/7*r**5 + 54/7*r.
2*r*(r + 1)*(r + 3)**3/7
Solve 0 + 0*h**2 - 1/4*h**3 + h = 0 for h.
-2, 0, 2
Solve 11/3*k**3 - 31/3*k - k**2 + 1/3*k**4 + 22/3 = 0 for k.
-11, -2, 1
Let a(k) = -k - 2 + k**2 - 6*k + 4 + 6*k. Let v be a(0). Solve -6/7*w**3 + 4/7*w + 0 - 2/7*w**v = 0.
-1, 0, 2/3
Factor -6*u**2 + u + 4*u**2 - 48 + 12 + 21*u + 0*u**2.
-2*(u - 9)*(u - 2)
Let c be 1*13 - (3 + 0). Let l = c + -7. Solve -6*k**3 + 7*k**3 + k**l = 0.
0
Suppose -1/2*l**3 + 5/2*l**2 + 13/2*l + 7/2 = 0. What is l?
-1, 7
Let v = -3/18937 + 151505/56811. Suppose -2/3*q**2 + 0 + v*q = 0. What is q?
0, 4
Let w(r) = 22*r**2 + 113*r - 19. Let v(m) = 8*m**2 + 37*m - 6. Let p(o) = -17*v(o) + 6*w(o). Factor p(s).
-(s - 12)*(4*s - 1)
Let v(j) be the first derivative of j**3 - 13 - 3/2*j**2 - 1/4*j**4 + j. Solve v(a) = 0.
1
Let m = 14597/9732 - -1/9732. Suppose -1/2*i + 0 + 3/2*i**2 - m*i**3 + 1/2*i**4 = 0. Calculate i.
0, 1
Let p be ((-4)/(-8))/((-3)/(-36)). Suppose -f + 1 = -p. Factor 5*w**2 + 4*w**3 + 2*w - f*w + 10*w - 4*w.
w*(w + 1)*(4*w + 1)
Let t(v) = -3*v**2 - 109*v + 106. Let b(a) = 5*a**2 + 220*a - 210. Let y(s) = 2*b(s) + 5*t(s). Solve y(k) = 0.
-22, 1
Suppose -3*f = 0, 0 = 5*r + 9*f - 7*f. Let c be ((4 + r + -4)/2)/(-2). Factor -1/4*m**3 + 1/2*m**2 - 1/4*m + c.
-m*(m - 1)**2/4
Let p(b) = -b**4 - b**3 + b**2 + 1. Let k(t) = -3*t**4 + 21*t**2 + 28*t + 14. Let g(i) = k(i) - 2*p(i). Factor g(o).
-(o - 6)*(o + 1)**2*(o + 2)
Let a(x) be the second derivative of -x**8/2240 + x**7/420 + x**6/240 - x**5/20 + 37*x**4/12 + 27*x. Let m(u) be the third derivative of a(u). Factor m(s).
-3*(s - 2)*(s - 1)*(s + 1)
Suppose 0 = -3*k - 3, 2*o + 0*k + k = 7. Suppose 0*m + m + 13 = 2*g, -5*g = -o*m - 31. What is x in -11*x - 9 - g*x - 3*x**2 + 6*x = 0?
-3, -1
Let o = 96 - 92. Suppose -q**o + 2*q + q**3 - 26 + 28 - 7*q + 3*q**2 + 0*q = 0. What is q?
-2, 1
Let k = -9883 - -9888. Solve 1/3*i - 1 - 2/3*i**3 + 1/3*i**k - i**4 + 2*i**2 = 0.
-1, 1, 3
Factor -15/4*c - 10*c**3 + 55/4*c**2 + 0.
-5*c*(c - 1)*(8*c - 3)/4
Let m be -8*(-15)/400*(-2)/(-3). Let h(f) be the first derivative of -2 + 0*f - m*f**2 + 1/15*f**3. Solve h(c) = 0.
0, 2
Suppose 255/4*t**2 + 1323 - 3/4*t**3 - 1386*t = 0. Calculate t.
1, 42
Factor -7*w**3 + 5*w**3 + 37*w + 3*w**3 + 43*w - 17*w**2 - 64.
(w - 8)**2*(w - 1)
Suppose -23 = -5*r + 17. Find x such that -8*x**2 - 4*x**2 + 4*x**3 - 8*x**3 - r*x + 0*x = 0.
-2, -1, 0
Let w be (-1)/2*389 + 222/148. Let j = 196 + w. Suppose 1/5*q**5 + 0*q - 2/5*q**2 + q**j - 4/5*q**4 + 0 = 0. Calculate q.
0, 1, 2
Let t(h) be the third derivative of h**9/1512 - h**8/840 - h**7/420 + h**6/180 - 3*h**3 - 31*h**2. Let z(y) be the first derivative of t(y). Factor z(x).
2*x**2*(x - 1)**2*(x + 1)
Let a(k) be the first derivative of -k**8/168 - 4*k**7/105 - k**6/15 - 8*k**2 - 12. Let l(r) be the second derivative of a(r). Let l(o) = 0. What is o?
-2, 0
Let h(v) be the second derivative of v**5/30 - v**4/9 - v**3/9 + 2*v**2/3 - v - 5. Find p, given that h(p) = 0.
-1, 1, 2
Determine u so that 0 + 6*u**2 - 2/3*u**4 - 2*u**5 + 4/3*u + 6*u**3 = 0.
-1, -1/3, 0, 2
Let y = 21568/5 - 4312. Factor 0*l - 2/5*l**2 + y.
-2*(l - 2)*(l + 2)/5
Let s be (-83)/(-45) + -2 + 1/5. Let l(u) be the first derivative of -s*u**5 + 0*u + 2/27*u**3 + 1/18*u**4 - 1/9*u**2 - 4. Factor l(g).
-2*g*(g - 1)**2*(g + 1)/9
Factor 0*b**2 - 2/3*b**3 - 4/3 + 2*b.
-2*(b - 1)**2*(b + 2)/3
Let b = -134 - -135. Let l(y) = -y**3 + 2*y**2 - 1. Let j(p) = -7*p**3 + 20*p + 14. Let q(x) = b*j(x) - 2*l(x). Solve q(v) = 0.
-2, -4/5, 2
Let x = -33 - -36. Suppose -2 + 6*f**2 + 7*f**x + 6*f - 5*f**3 + 4 = 0. What is f?
-1
Let t be (-168)/210*1/(-2). Let u(f) be the first derivative of f - 1 + 1/12*f**6 - t*f**5 + 1/3*f**3 - 5/4*f**2 + 1/2*f**4. Factor u(x).
(x - 2)*(x - 1)**3*(x + 1)/2
Let v(q) be the second derivative of -3*q**6/50 - 23*q**5/50 + 49*q**4/60 + q**3/5 + 7*q + 7. Solve v(y) = 0 for y.
-6, -1/9, 0, 1
Let y(o) be the first derivative of -o**3/7 + 67*o**2/7 + 45*o/7 + 90. Factor y(x).
-(x - 45)*(3*x + 1)/7
Let w(c) = 12*c**4 - c**3 - 5*c**2. Let g(y) = 11*y**4 - 4*y**2. Let s be 4/(8/9) - 5/10. Let t(x) = s*w(x) - 5*g(x). What is u in t(u) = 0?
-4/7, 0
Let v be -2 + 36 - -1 - 5. Let m be v/165 + 2/(-11). Factor m + 0*i + 1/3*i**2.
i**2/3
Let j(m) be the third derivative of -27*m**5/5 + 30*m**4 - 200*m**3/3 - 26*m**2 - 2*m. Factor j(b).
-4*(9*b - 10)**2
Suppose 5*m - 5 = 0, 2*m = 3*b - 8 + 4. Factor -2 - 1 + 7 - 4*g**b.
-4*(g - 1)*(g + 1)
Suppose p - 2*p + 2 = 0. Let d be 6/(-1 + (p - -1)). Factor 4*s**3 + 4*s**4 + 2*s**5 - 2*s**d - 2*s**3 - 4*s**2 - 2*s.
2*s*(s - 1)*(s + 1)**3
Let w(x) be the third derivative of x**7/1260 + x**6/240 + x**5/360 - x**4/48 - x**3/18 + 102*x**2 - 2. Factor w(j).
(j - 1)*(j + 1)**2*(j + 2)/6
Let f = -21/86 - -1137/430. Find s, given that -9/5*s**2 + 0 - f*s**3 + 3/5*s = 0.
-1, 0, 1/4
Let m(t) be the first derivative of -t**5/35 - 3*t**4/14 + 5*t**3/7 - 4*t**2/7 - 703. Solve m(a) = 0.
-8, 0, 1
Let g(a) = -6*a**3 + 60*a**2 - 291*a - 366. Let k(f) = 5*f**3 - 61*f**2 + 293*f + 365. Let m(v) = -2*g(v) - 3*k(v). Factor m(d).
-3*(d - 11)**2*(d + 1)
Let k(a) be the first derivative of a**4/34 + 14*a**3/51 - 4*a**2/17 - 56*a/17 - 125. Factor k(o).
2*(o - 2)*(o + 2)*(o + 7)/17
Suppose 5*h - 3*z = -8, 5*h = -2*z - 3*z. Let r be (h + -4)*1 + 5. Let 0 + r*g**2 + 0*g - 1/4*g**3 - 1/4*g**4 = 0. Calculate g.
-1, 0
Suppose -4*h + 43 = 7*x, -8 = -3*h - 2*x + 8. Determine s so that -1/4*s**h + 1/4*s + 1/4*s**4 - 1/4*s**3 + 0 = 0.
-1, 0, 1
Let s(o) be the third derivative of -o**7/280 - o**6/40 + o**5/40 + 3*o**4/8 + 5*o**3/2 - o**2. Let z(a) be the first derivative of s(a). What is v in z(v) = 0?
-3, -1, 1
Let m(t) be the second derivative of 1/2*t**3 + 1/4*t**2 + 3/8*t**4 + 22*t + 0. Factor m(z).
(3*z + 1)**2/2
Let c(n) be the third derivative of n**7/1120 - n**6/240 - n**5/40 + n**4/4 - n**3/6 - 25*n**2. Let f(l) be the first derivative of c(l). What is j in f(j) = 0?
-2, 2
Let h be 4*75/24 + -8. Let c(t) be the second derivative of t + 0 + 1/30*t**6 + 2/3*t**4 - t**3 - h*t**2 + 3/10*t**5. Factor c(o).
(o - 1)*(o + 1)*(o + 3)**2
Suppose -8*l + 114*l + 16*l**4 - 5*l**5 - 51*l - 5*l**2 - 15*l - 35*l**3 + 9*l**4 - 20 = 0. Calculate l.
-1, 1, 2
Let c = 301879/6 - 50313. Factor -5/6*d + c - d**2.
-(d + 1)*(6*d - 1)/6
Let p(s) be the third derivative of s**6/24 + 71*s**5/4 + 2385*s**4 + 28090*s**3/3 - 804*s**2. Solve p(x) = 0 for x.
-106, -1
Let w(a) = a**3 + 9*a**2 - 20*a + 24. Let v be w(-11). Find g, given that -6 - 10*g**3 + 818*g**v - 2*g - 802*g**2 + 2 = 0.
-2/5, 1
Let h(k) be the first derivative of -k**6/2 - 33*k**5/5 - 3*k**4/4 + 79*k**3 - 159*k**2 + 120*k - 498. Determine p so that h(p) = 0.
-10, -4, 1
Determine n, given that 9*n**2 + 14*n**2 + 10*n**3 + 8*n**4 - 62*n**3 + n**2 = 0.
0, 1/2, 6
Let w(t) be the first derivative of -5*t**6/6 - 6*t**5 - 25*t**4/2 + 55*t**2/2 + 30*t - 98. Let w(b) = 0. Calculate b.
-3, -2, -1, 1
Let i(g) be the third derivative of 1/630*g**7 + 1/36*g**5 - 12*g**2 - 1/36*g**4 + 0 - 1/90*g**6 + 0*g + 0*g**3. Factor i(v).
v*(v - 2)*(v - 1)**2/3
Suppose 20*w - 15*w = 135. Let a be 2/16*-2*(-72)/w. Factor 2/3 + a*z**3 + 2*z**2 + 2*z.
2*(z + 1)**3/3
Let w(l) be the first derivative of l**6/33 - 18*l**5/55 + 5*l**4/11 + 52*l**3/11 - 155*l**2/11 + 150*l/11 + 41. What is z in w(z) = 0?
-3, 1, 5
Let a = 79 + -81. Let k be a*(-5)/5 + (-16)/10. Let -2/5 - 4/5*v - k*v**2 = 0. What is v?
-1
Suppose -20 = -4*n, -4*f = -9*f - n + 55. Suppose 0*m = -5*m + f. What is y in 11*y**3 + 7*y**5 + 264*y - 505*y**m + 42*y**5 - 46 + 10 + 217*y**4 = 0?
-3, 2/7, 1
Factor -23/4*i**2 - 24*i - 27 - 1/4*i**3.
-(i + 2)*(i + 3)*(i + 18)/4
Let v(h) be the first derivative of -2*h**3/63 - 4*h**2/21 - 2*h/7 - 134. Determine k so that v(k) = 0.
-3, -1
Suppose -123*x + 57 = -189. Factor 0*o - 2/11*o**x + 2/11.
-2*(o - 1)*(o + 1)/11
Let d(m) = 7*m**3 - 7*m**2 - 46*m. Let o(h) = -5*h**3 + 5*h**2 + 30*h. Let u(i) = 5*d(i) + 8*o(i). Factor u(w).
-5*w*(w - 2)*(w + 1)
Let v(o) be the third derivative of o**7/20160 + o**6/960 + 3*o**5/320 - 2*o**4/3 + 7*o**2. Let i(f) be the second derivative of v(f). Factor i(w).
(w + 3)**2/8
Factor 0*y + 0 + 0*y**2 - 8/9*y**4 - 2/3*y**3 - 2/9*y**