2 + 17*h**2/3 + 356*h. What is k in u(k) = 0?
-17, -1/4, 2/7, 1/3, 1
Let u be 3 - 304/42 - -4. Let o = u + 31/42. Factor o*m**2 + 1/2*m + 1/6 + 1/6*m**3.
(m + 1)**3/6
Let n be -21 - (2 - -4)/2. Let z be 21/2*n/(-18). Factor -8*w - 32*w**2 - 2 - 7 - z*w**3 + 9.
-2*w*(w + 2)*(7*w + 2)
Let k(l) = 4*l**2 - 4*l - 6. Let t(w) = -1. Let j(q) = q**3 - 2*q**2 - 1. Let i be j(2). Let r(v) = i*k(v) - 2*t(v). Factor r(h).
-4*(h - 2)*(h + 1)
Let v be -9 + (-11)/(165/(-162)). Let s(x) be the first derivative of 0*x + v*x**5 - 33/4*x**4 + 12*x**3 + 1 - 6*x**2. Factor s(n).
3*n*(n - 2)*(n - 1)*(3*n - 2)
Let p be 4/(-14) + 264/385. Let m(h) = h**3 + 8*h**2 + 14*h + 14. Let v be m(-6). Factor -p - 1/5*d**v - 3/5*d.
-(d + 1)*(d + 2)/5
Solve -68*t**4 - 44*t**4 + 7443 - 4*t**5 - 4*t**4 - 2504*t**2 - 1152*t**3 + 41709 + 8192*t - 1080*t**2 = 0 for t.
-8, 3
Let u(z) be the first derivative of -2*z**5/5 + 71*z**4/4 - 34*z**3/3 - 35*z**2/2 - 140. Find x such that u(x) = 0.
-1/2, 0, 1, 35
Let m(x) = x**2 - 12*x + 22. Let j be m(10). Let s be (-5 - -5)/(j + 0). Let -2/5*b**3 + s + 0*b**2 + 2/5*b = 0. What is b?
-1, 0, 1
Suppose 3*y + 10 = 2*o, -86*y + 84*y - 20 = -4*o. Solve 3/2*t**2 - 15/8*t**3 + y + 0*t + 3/8*t**4 = 0 for t.
0, 1, 4
Solve 984 - 494 - 490 + 6*n**2 + 2*n**2 - n**4 - 7*n**3 = 0 for n.
-8, 0, 1
Let s be 3/((2 + 13)/(435/50)). Let g = -7/50 + s. Factor 0*n + 0*n**2 - g*n**3 + 24/5*n**4 + 0 - 18/5*n**5.
-2*n**3*(3*n - 2)**2/5
Suppose -23*x - 39 = -26*x. Let j = -11 + x. Factor -2/3 - 2/3*s + 4/3*s**j.
2*(s - 1)*(2*s + 1)/3
Let r(f) be the first derivative of f**6 - 2*f**5/5 - 19*f**4/2 - 2*f**3 + 32*f**2 + 40*f - 196. Let r(q) = 0. Calculate q.
-5/3, -1, 2
Let t(o) = 3*o**3 + 183*o**2 + 2900*o + 2700. Let g(c) = -3*c**3 - 183*c**2 - 2896*c - 2700. Let i(x) = 5*g(x) + 4*t(x). Solve i(q) = 0 for q.
-30, -1
Let x = -36 - -156. What is l in -24 + 5*l**4 + x*l**2 + 40*l**3 + 135*l + 25*l + 104 = 0?
-2
Let u(t) = -t**5 + 3*t**3 + 2*t**2. Let m(z) = 4*z**5 + z**4 - 16*z**3 - 11*z**2. Let k(b) = 2*m(b) + 11*u(b). Factor k(i).
-i**3*(i - 1)*(3*i + 1)
Suppose -26 = -3*b - 2*c, -43*b + 3*c = -40*b + 9. Suppose 0 + 33/7*a**2 + 9/7*a**3 + 6/7*a - 33/7*a**b - 15/7*a**5 = 0. Calculate a.
-2, -1, -1/5, 0, 1
Solve -1189*b**2 + 600*b**2 + 92*b + 593*b**2 = 0 for b.
-23, 0
Solve -18*u**3 - 4709 + 4727 - 48*u + 44*u**2 + 2*u**3 + 2*u**4 = 0 for u.
1, 3
Let w(x) be the first derivative of x**3/6 + 17*x**2/16 + x/2 + 141. Factor w(d).
(d + 4)*(4*d + 1)/8
Let h(q) be the third derivative of q**6/840 + q**5/210 - 8*q**4/21 + 80*q**3/21 - 2*q**2 + 92*q. Find l, given that h(l) = 0.
-10, 4
Let 33*h**3 + 567*h**2 - 14*h**3 + 561 - 16*h**3 + 1125*h = 0. Calculate h.
-187, -1
Suppose -4*j + 10 + 22 = 0. Let o be 2/5 + (-112)/(-70). Factor v**2 - 2*v**2 + 3*v**2 + j*v + o - 4*v.
2*(v + 1)**2
Let w = -86/13 - -443/65. Let k(v) be the third derivative of -1/6*v**4 + 0 - 1/10*v**6 + 2/105*v**7 + 0*v**3 + 0*v + 6*v**2 + w*v**5. Factor k(z).
4*z*(z - 1)**3
Factor -12*u - 62*u**2 + 37*u**4 - 7*u**4 + 4*u**2 + 48*u**3 - 7*u**4 - u**4.
2*u*(u - 1)*(u + 3)*(11*u + 2)
Let v(u) be the second derivative of 0*u**2 + 0*u**3 + 1 + 0*u**4 - 1/50*u**5 + 1/75*u**6 - 2*u. Determine t so that v(t) = 0.
0, 1
Factor -16*z**2 - 20*z + 344 - 176 - 4*z**3 - 176.
-4*(z + 1)**2*(z + 2)
Let k = 94 + -58. Determine p, given that k*p**4 - 16*p**2 + 10*p**5 + 21*p**3 + 4*p**3 - p**3 = 0.
-2, 0, 2/5
Factor -52/5*r - 2/5*r**2 - 338/5.
-2*(r + 13)**2/5
Factor 40/3*n**3 + 80*n - 1/3*n**5 + 160/3*n**2 + 128/3 + 0*n**4.
-(n - 8)*(n + 2)**4/3
Let m(p) be the first derivative of -361*p**5/5 - 380*p**4 - 584*p**3 - 160*p**2 - 16*p - 246. Factor m(s).
-(s + 2)**2*(19*s + 2)**2
Factor -7*g**2 - 49*g**3 - 20*g**2 - 19*g**2 - 674 + 272*g + 194 + 51*g**3.
2*(g - 15)*(g - 4)**2
Suppose -215*p = -26*p. Find i such that p + 5/6*i**3 - 5/2*i - 5/3*i**2 = 0.
-1, 0, 3
Let j(t) = -t**2 - 4*t + 9. Let c = -106 - -110. Let y(a) = a**2 + 6*a - 10. Let q(i) = c*y(i) + 5*j(i). Factor q(r).
-(r - 5)*(r + 1)
Let w(t) = t + 11. Let g be w(9). Suppose -f = 1, g + 10 = 5*h - 5*f. Solve 2/5 + 2/5*s**h + 2/5*s - 4/5*s**3 - 4/5*s**2 + 2/5*s**4 = 0.
-1, 1
Let x be 15/12*2*2/35. Find w such that -1/7*w**2 - 1/7*w + 1/7*w**3 + x = 0.
-1, 1
Let n(m) be the third derivative of -m**6/1080 + m**5/36 - 25*m**4/72 + 5*m**3/6 - 2*m**2. Let c(d) be the first derivative of n(d). Factor c(l).
-(l - 5)**2/3
Let j(r) be the first derivative of 2*r**5/25 + 2*r**4/5 + 2*r**3/5 - 4*r**2/5 - 8*r/5 - 34. Factor j(p).
2*(p - 1)*(p + 1)*(p + 2)**2/5
Let s = -2520 + 32762/13. Let h be (2/(-39))/(2/(-6)). Factor 0*f + s*f**4 - 4/13*f**3 + h*f**2 + 0.
2*f**2*(f - 1)**2/13
Suppose -4*q = 2*l - 32, 9 = q + 5*l - 17. What is h in -72*h - q - 12 - 19 - 11 - 27*h**2 = 0?
-4/3
Factor 268/5*d**3 + 0*d - 8/5*d**4 + 136/5*d**2 + 0.
-4*d**2*(d - 34)*(2*d + 1)/5
Let p(n) = 335*n**2 - 40*n + 25. Let b(m) = 4*m**2 - m + 1. Let l(k) = 25*b(k) - p(k). Factor l(v).
-5*v*(47*v - 3)
Suppose 1939*s - 1925*s = 0. Suppose 10/3*j - 35/3*j**2 - 20/3*j**3 + s = 0. What is j?
-2, 0, 1/4
Let r(b) be the third derivative of b**7/1365 - b**6/468 + b**5/780 - b**3 - 9*b**2. Let v(u) be the first derivative of r(u). Find h such that v(h) = 0.
0, 1/4, 1
Let k be 2*((-25)/(-5) + -4). Let r be 6/24 + 1/k. Determine h, given that -3/2*h + r*h**2 - 9/4 = 0.
-1, 3
Suppose 0 = -l - 0*l + 4. Suppose l*w - 9 = -1. Factor -5*h**2 - 2*h**2 + h**2 + 5*h**w.
-h**2
Let f be 2 + ((-4)/(-6) - (-124)/(-78)). Let s = -22/117 + f. Factor 0 - s*y**2 + 2/9*y**3 + 8/9*y.
2*y*(y - 2)**2/9
Let a be 1 - ((-3)/9)/(4/36). Suppose 23*f**3 - 64*f - 6*f**2 - 15*f**3 - 2*f**a - 128 + 30*f**2 = 0. What is f?
-2, 4
Factor -45 - 4*k + 15 - 19*k + k**2 + 32*k - 40.
(k - 5)*(k + 14)
Let i(m) be the first derivative of 1/4*m**4 + 0*m**3 + 1 - 4/5*m**5 + 0*m + 0*m**2. What is x in i(x) = 0?
0, 1/4
Suppose 0 = 17*n - 20*n - g + 340, 2*n - 220 = -4*g. Let o = n + -110. Let 0 - 8/5*c + 18/5*c**o + 10*c**3 + 24/5*c**2 = 0. What is c?
-2, -1, 0, 2/9
Suppose 32*l + 24 = 88. Let z(m) be the first derivative of -3/2*m**2 - 1/3*m**3 - 4 - l*m. Let z(v) = 0. What is v?
-2, -1
Suppose 259*z - 58*z = -586 + 1189. Determine c, given that 65/3*c - 65/3*c**2 - 5 + 5*c**z = 0.
1/3, 1, 3
Let v(r) be the second derivative of -1/2*r**2 + 0*r**3 + 0*r**5 - 1/30*r**6 - 4*r + 1/6*r**4 + 0. Solve v(n) = 0.
-1, 1
Let p(x) be the third derivative of x**6/10 - 13*x**5/30 + 49*x**4/288 - x**3/36 - 2*x**2 - 52*x. What is k in p(k) = 0?
1/12, 2
Determine o, given that 13*o - 60 - 64 - 4*o**3 + 136 + 3*o**3 = 0.
-3, -1, 4
Let s(a) = -9*a**5 - 171*a**4 - 225*a**3 + 42*a. Let j(p) = -2*p**5 - 43*p**4 - 56*p**3 + 10*p. Let v(i) = 21*j(i) - 5*s(i). Let v(b) = 0. What is b?
-1, 0, 17
Let i(j) be the second derivative of -j**7/441 - j**6/5 - 31*j**5/105 - 484*j. Factor i(m).
-2*m**3*(m + 1)*(m + 62)/21
Suppose w - 3*z = 0, 2*w = 3*z + 130 - 127. Factor 2/7*t**w + 2/7*t**2 + 0 - 2/7*t**5 - 2/7*t**4 + 0*t.
-2*t**2*(t - 1)*(t + 1)**2/7
Suppose 3 = -2*k + k, o + 12 = -4*k. Let v = 4 + -2. Find w, given that 2 - 1 - 2*w + o - w**2 - v = 0.
-1
Let g(m) = -6*m**3 - 47*m**2 - 96*m - 72. Let u = -12 + 7. Let l(j) = 3*j**3 + 23*j**2 + 48*j + 36. Let o(w) = u*l(w) - 2*g(w). Suppose o(c) = 0. Calculate c.
-3, -2
Determine r so that -7*r**2 - r**4 + 5 + 9*r - 3 - 1 + 7 - 9*r**3 = 0.
-8, -1, 1
Let q = -119/2 - -60. Let p(v) be the second derivative of 0 + v + 1/4*v**4 + 0*v**2 - q*v**3. Factor p(j).
3*j*(j - 1)
Let l(h) = 11*h. Let b be l(3). Find r, given that -9*r + 16 - 4 + 12*r + 15*r**2 + b*r = 0.
-2, -2/5
Let w(y) be the second derivative of y**6/25 + 17*y**5/50 + 7*y**4/30 - 17*y**3/15 - 2*y**2 + 346*y. Let w(x) = 0. Calculate x.
-5, -1, -2/3, 1
Let t(x) = -3*x**3 - 2*x**2 - 7*x - 2. Let k be 3 + -3 - (-9 - -3). Let a(o) = -4*o**3 - 8*o - o**2 + 0 + 0*o + k - 8. Let i(g) = 2*a(g) - 3*t(g). Factor i(q).
(q + 1)**2*(q + 2)
Let j(z) = -3*z - 4. Let i be j(-3). Suppose i*d = -7 + 27. Solve v - d*v + 3*v + 1 - 2*v**2 - v = 0.
-1, 1/2
Let n(j) be the second derivative of j**9/1512 + j**8/2100 + 19*j**3/6 - 13*j. Let o(d) be the second derivative of n(d). Determine f so that o(f) = 0.
-2/5, 0
Let g be 10/4 + (-6)/(-4). Let -g*o + 0*o**3 + 3*o**3 - 2*o + 3*o**2 + 3*o - 3 = 0. What is o?
