0 + 4/5*z = 0. What is z?
0, 1, 2
Let n = 302788/12369 + -514/21. Let r = 2334/6479 + n. Determine s, given that -r*s**2 + 2/11*s**3 + 0 + 0*s = 0.
0, 2
Let y(m) be the second derivative of m**5/5 + 2*m**4/3 - 40*m**3/3 + 48*m**2 - 34*m - 2. Find x, given that y(x) = 0.
-6, 2
Let k(t) be the first derivative of -t**5/5 - t**4/3 + 8*t**3/3 + 8*t**2 - 19*t + 20. Let i(l) be the first derivative of k(l). Determine m so that i(m) = 0.
-2, -1, 2
Let w(n) = -n**4 + 6*n**3 + n**2 - 6. Let z(t) be the first derivative of 0*t**3 + 1/4*t**4 + 0*t**2 - t - 5. Let v(i) = w(i) - 6*z(i). Factor v(r).
-r**2*(r - 1)*(r + 1)
Let c = 44311/2 + -22155. Let 7*g + g**3 - c*g**4 + 5/2 + 6*g**2 = 0. Calculate g.
-1, 5
Let a(l) = -55*l**3 + 45*l**2 + 220*l - 440. Let v(w) = 5*w**3 - 4*w**2 - 20*w + 40. Let y(u) = 6*a(u) + 65*v(u). Find c such that y(c) = 0.
-2, 2
Let r(b) be the third derivative of -1/2*b**5 - 1/105*b**7 - 13/12*b**4 - 7/60*b**6 + 0*b - 4/3*b**3 + 0 + 7*b**2. Factor r(k).
-2*(k + 1)**3*(k + 4)
Let r(c) = c**3 + 11*c**2 + 15*c + 52. Let d be r(-10). Let o(h) be the first derivative of 2*h**d + 0*h + 4/3*h**3 - 13. Factor o(a).
4*a*(a + 1)
Let d = 7 + 0. Suppose 0 = 4*u - 2*v - 14, -5*u = 3*v - d*v - 22. Factor l**u + 6*l**2 - l**2 - 3*l**2 + 3*l.
3*l*(l + 1)
Let s(c) = 3*c + 135. Let q be s(-43). Let r(z) be the second derivative of -q*z + 5*z**4 + 0 + 0*z**2 + 2*z**3 + 27/20*z**5. Factor r(w).
3*w*(w + 2)*(9*w + 2)
Let n be -27*(1252/60 + -21). Factor -27/5 - n*f - 3/5*f**2.
-3*(f + 3)**2/5
Let i(t) be the second derivative of -t**7/126 - 4*t**6/45 - 11*t**5/30 - 2*t**4/3 - t**3/2 + 17*t + 3. Suppose i(v) = 0. What is v?
-3, -1, 0
Factor 16*x**4 - 4*x**5 - 11 - 40*x**2 - 29 - 37*x - 37*x + 32*x**3 - 18*x.
-4*(x - 5)*(x - 2)*(x + 1)**3
Factor 58 - i**2 + 44*i - 3*i**2 - 15*i - 269*i + 186.
-4*(i - 1)*(i + 61)
Let -160/7*i**2 + 4/7 - 156/7*i = 0. Calculate i.
-1, 1/40
Let s(v) be the third derivative of 7/12*v**6 + 0 + 15/2*v**3 + 1/3*v**5 + 1/14*v**7 + 0*v - 25/4*v**4 - 35*v**2. Factor s(y).
5*(y - 1)*(y + 3)**2*(3*y - 1)
Let h(q) = q**2 + 9*q + 11. Let p be h(-8). Let b be p - 1 - 0 - -150. Factor -150*r + 3*r**5 - r**2 + b*r - 2*r**5 - 3*r**3 + r**4.
r*(r - 1)**2*(r + 1)*(r + 2)
Let y = 42945/22 + -1952. Let z(o) be the first derivative of -4/11*o - 5/11*o**2 - 4 - y*o**4 - 8/33*o**3. Determine p so that z(p) = 0.
-2, -1
Let -26*z**3 + 0 + 96*z**2 - 280/3*z + 2/3*z**4 = 0. Calculate z.
0, 2, 35
Let c(a) be the first derivative of 0*a**3 - 13/2*a**2 + 0*a + 10 - 1/100*a**5 + 1/60*a**4. Let m(b) be the second derivative of c(b). What is k in m(k) = 0?
0, 2/3
Let a = -1482 - -10376/7. Find f, given that 0 + a*f + 2/7*f**3 - 4/7*f**2 = 0.
0, 1
Suppose -2*j**2 - 3*j**2 + 89*j**4 + 4*j**2 - 43*j**4 - 45*j**4 = 0. Calculate j.
-1, 0, 1
Let b(d) be the second derivative of d**5/20 - d**3/2 + d**2 - 6*d. Solve b(q) = 0.
-2, 1
Suppose 37*k - 366 = -24*k. Let m(y) be the second derivative of 0 + 0*y**k - 1/12*y**3 - 7*y - 1/84*y**7 + 0*y**4 + 0*y**2 + 1/20*y**5. Factor m(h).
-h*(h - 1)**2*(h + 1)**2/2
Let a be (-6)/15 + ((-80)/(-25))/4. Suppose 30 + 38 = 17*s. Suppose 0 + 128/5*n**5 - 22/5*n**2 - a*n - 72/5*n**3 - 32/5*n**s = 0. What is n?
-1/4, 0, 1
Let d(i) = i**2 + 429*i. Let z(b) = b**2 - 3*b. Let t(j) = d(j) + 3*z(j). Factor t(k).
4*k*(k + 105)
Let d = -1 - -8. Factor -6*s + 5*s**2 - d*s**2 + 2 - 2.
-2*s*(s + 3)
Determine l so that 3 - 8*l**3 + 4*l**4 - 76*l**2 - 3 + 80*l**2 = 0.
0, 1
Let p(y) = -81*y**2 - 207*y - 321. Let x(t) = 5*t**2 + 13*t + 20. Let r = 24 + 9. Let k(o) = r*x(o) + 2*p(o). Factor k(w).
3*(w + 2)*(w + 3)
Suppose 20 = 4*p - 0*p. Let s(t) = -15*t**2 - 115*t - 360. Let d(m) = 7*m**2 + 58*m + 180. Let b(l) = p*d(l) + 2*s(l). Find o such that b(o) = 0.
-6
Suppose -3*f - t - 6 = 0, 260*f - t = 262*f + 6. What is a in -9/5*a**3 + f + 11/5*a**4 + 1/5*a**2 - 4/5*a**5 + 1/5*a = 0?
-1/4, 0, 1
Suppose 9*i - 4*i = 5*j - 35, 0 = -2*i + 10. Factor j*a**4 - 11*a**4 + 4*a + 6 - 6 - 3*a**3.
a*(a - 2)**2*(a + 1)
Let s(q) be the third derivative of -q**6/200 - q**5/2 + 103*q**4/40 - 26*q**3/5 - 152*q**2. Suppose s(p) = 0. What is p?
-52, 1
Let f be (0/24)/(-2*2). Factor f*n + 2*n - 6 - 2*n**2 + 10.
-2*(n - 2)*(n + 1)
Let x be (1/12 - (-6)/24)*0. Suppose -o = -3*o. Factor o*j**4 + 4*j**4 + x*j**4.
4*j**4
Let x(t) = -3*t**4 - 2*t**3 + 15*t**2 + 12*t + 2. Let r(b) = -b**4 + b**3 - b - 1. Let v be 12/66 - (-72)/(-33). Let j(g) = v*r(g) - x(g). Factor j(l).
5*l*(l - 2)*(l + 1)**2
Let y(s) be the third derivative of s**6/240 + 29*s**5/720 + s**4/24 - 2*s**3 + 11*s**2. Let w(a) be the first derivative of y(a). Solve w(b) = 0.
-3, -2/9
Let k(j) = 12*j**2 + 3*j - 3. Let v be k(-3). Suppose -3*c + v - 96 = 0. Factor 1/2*b**5 + c - 1/2*b**3 - 1/2*b**2 + 0*b + 1/2*b**4.
b**2*(b - 1)*(b + 1)**2/2
Let m(t) = -8*t**4 - 405*t**3 + 2273*t**2 - 3787*t + 1920. Let b(p) = 3*p**4 + 135*p**3 - 758*p**2 + 1262*p - 640. Let y(h) = -7*b(h) - 2*m(h). Factor y(f).
-5*(f - 2)**2*(f - 1)*(f + 32)
Let d be (1/8 - (-867)/1224)*12/4. Factor 35/4*u + d + 45/4*u**2 + 5/4*u**4 + 25/4*u**3.
5*(u + 1)**3*(u + 2)/4
Determine t so that 57*t**3 + 162/7 - 1161/7*t**2 - 45/7*t**4 + 1053/7*t = 0.
-2/15, 3
Let m(x) be the second derivative of -4*x + 3/2*x**4 - 6 + 25/4*x**2 + 5*x**3. What is f in m(f) = 0?
-5/6
Suppose 0 = -12*i + 7*i - 260. Let l be 107/20 + -2 - 13/i. Factor -4/5 - l*h - 14/5*h**2.
-2*(h + 1)*(7*h + 2)/5
Let a(s) be the first derivative of -s**6/6 - s**5/4 + 5*s**4/12 + 5*s**3/6 + 6*s - 22. Let g(c) be the first derivative of a(c). Factor g(f).
-5*f*(f - 1)*(f + 1)**2
Find y, given that -4650 + 64*y**2 - 2*y**3 - 96*y - 6*y**4 + 8*y + 4682 = 0.
-4, 2/3, 1, 2
Let n be (-2 + -25 + -7)*1/(-2). Let x = -15 + n. Suppose 0 - 2/3*o + 2*o**x - 2*o**3 + 2/3*o**4 = 0. What is o?
0, 1
Let f = 3258 - 3253. Suppose -1/3*t**3 + 0 - 2/3*t**2 + 0*t + 1/3*t**f + 2/3*t**4 = 0. What is t?
-2, -1, 0, 1
Let w(j) = -j**3 + 80*j**2 - 178*j + 93. Let f(m) = -10*m**3 + 640*m**2 - 1425*m + 745. Let i(c) = 3*f(c) - 25*w(c). Determine b so that i(b) = 0.
-18, 1
Suppose 8*w + 79*w = 0. Factor -2/15*f**2 + w + 2/15*f.
-2*f*(f - 1)/15
Factor 4/5 - 12/5*z + z**2.
(z - 2)*(5*z - 2)/5
Let y(r) be the third derivative of 3*r**2 + 0 - 1/2*r**3 + 1/120*r**5 - 1/48*r**4 + 0*r. What is o in y(o) = 0?
-2, 3
Let v(f) be the second derivative of -4*f**2 + 0 + 2/3*f**4 - 1/3*f**3 + 1/10*f**5 - 35*f. Find o such that v(o) = 0.
-4, -1, 1
Let r = -16 + 30. Let d(q) = -2*q + 30. Let v be d(r). Let -3/2*z**v + z - 1/4*z**4 + z**3 - 1/4 = 0. Calculate z.
1
Let w(y) = -20*y**2 + 42*y - 26. Let s(v) = -v**3 + 10*v**2 - 17*v + 3. Let p be s(8). Let q(f) = -13*f**2 + 28*f - 17. Let o(x) = p*w(x) + 8*q(x). Factor o(z).
-2*(z - 3)*(2*z - 1)
Let j(s) = -5*s - 5. Let h(l) = 9*l + 11. Let q(n) = 3*h(n) + 7*j(n). Let x(o) = o**2 + 9*o + 3. Let p(g) = 3*q(g) + 2*x(g). Factor p(m).
2*m*(m - 3)
Suppose 3*f + 15 = -5*k, f - 2*f + 4*k = -12. Let q be (-10)/(-20)*(0 - f). Factor q*l**2 + 4*l**3 - 5*l**3 - l**4 + l**2 + 42*l - 41*l.
-l*(l - 1)*(l + 1)**2
Let h(g) = -4*g**5 - 17*g**4 - 6*g**3 + 3*g - 3. Let a(y) = -y**5 - y**4 - 2*y**3 - y + 1. Let r(f) = 15*a(f) + 5*h(f). Suppose r(q) = 0. Calculate q.
-2, -6/7, 0
Let z = 0 + -21. Let b = 50 + z. What is n in -29*n - 3*n**2 + b*n = 0?
0
Let o(g) be the second derivative of -g**7/2940 - g**6/1260 + g**5/210 - 23*g**3/6 + 19*g. Let y(q) be the second derivative of o(q). Factor y(x).
-2*x*(x - 1)*(x + 2)/7
Let a(t) be the third derivative of 16/105*t**7 + 41/30*t**5 - 7*t - 2*t**2 + 0*t**3 + 22/15*t**6 + 5/12*t**4 + 0. Factor a(v).
2*v*(v + 5)*(4*v + 1)**2
Suppose -t + 6 = 84*w - 81*w, w = 4*t + 15. Let u(r) be the first derivative of -5/4*r**4 + 5*r**w - 12 - 5*r**2 + 0*r. Suppose u(h) = 0. What is h?
0, 1, 2
Let r be 35/(-30)*(-184)/483. Let b = 1 + -1. Suppose -r*p + 2/9*p**2 + b = 0. Calculate p.
0, 2
Let w(m) be the second derivative of -16/3*m**2 - 10/3*m**4 - 20*m + 5/3*m**5 + 0 - 8*m**3. Factor w(p).
4*(p - 2)*(5*p + 2)**2/3
Suppose -9 + 60*u**2 - 8*u**3 - 24*u - 1 - 18 = 0. Calculate u.
-1/2, 1, 7
Let l be (1 + 3)*((-312)/32)/(-13). Let o(y) be the second derivative of 4/15*y**6 + 9/10*y**5 + 0 + 1/3*y**l + y**4 + 0*y**2 + 4*y. Factor o(d).
2*d*(d + 1)**2*(4*d + 1)
Let z be (4 - ((-14