d + 3*d**3 + 406*d.
3*(d - 259)*(d + 1)**2
Let r be ((-2)/(-10))/((-27)/(-270)). Solve 150*c**2 - 146*c**r - 2*c**3 + 13*c + 3*c + 0*c = 0.
-2, 0, 4
Let p(c) = c**4 + 12*c**3 + 30*c**2 - 2*c + 2. Let l(v) = 3*v**4 + 28*v**3 + 59*v**2 - 5*v + 5. Let n(m) = -2*l(m) + 5*p(m). What is r in n(r) = 0?
-4, 0, 8
Let g(b) be the second derivative of b**4/18 + 162*b**3 + 177147*b**2 + 1978*b. Determine r, given that g(r) = 0.
-729
Let i = 108631 - 760415/7. Factor -12/7 - i*v + 8/7*v**2 - 2/7*v**3.
-2*(v - 3)*(v - 2)*(v + 1)/7
Factor 34/13*z**2 + 94/13*z + 2/13*z**3 - 10.
2*(z - 1)*(z + 5)*(z + 13)/13
Let m(o) be the second derivative of -o**7/5880 + o**6/210 - o**5/40 + 11*o**4/6 + 11*o. Let z(h) be the third derivative of m(h). Factor z(y).
-3*(y - 7)*(y - 1)/7
Suppose -3*i**3 + 21*i - 1/4*i**4 - 49/4 - 11/2*i**2 = 0. What is i?
-7, 1
Let t be (4/(-5))/(6/(-45)). Suppose t*s - 114 = 390. Let 18*p**5 + s*p**4 - 168*p**2 + 12*p + 39*p + 21*p + 26*p**3 = 0. Calculate p.
-3, 0, 2/3
Let z(c) be the first derivative of c**3 - 1/8*c**4 + 1/40*c**6 + 1 + 5*c**2 - 1/10*c**5 + 0*c. Let b(t) be the second derivative of z(t). Factor b(i).
3*(i - 2)*(i - 1)*(i + 1)
Let o(q) be the third derivative of q**5/390 - 7*q**4/156 - 40*q**3/13 - 1219*q**2. Factor o(i).
2*(i - 15)*(i + 8)/13
Let l be 9 + (2 - 4) - 2. Factor s**2 - l - 13 - 8 + 1.
(s - 5)*(s + 5)
Let o = -5299/53 + 19289/159. Factor -2/9*i**2 + o*i - 512.
-2*(i - 48)**2/9
Let h(j) = 21*j + 12. Let d be h(0). Determine b so that 8*b**2 - d*b**3 + 4*b**5 + 10877*b - 10877*b = 0.
-2, 0, 1
Let a be 12/20 + ((-2)/(-5) + 0 - -4). Determine s so that 8/3*s**2 - 4/3*s**4 - 8/3*s + 0 - 2/3*s**a + 2*s**3 = 0.
-2, 0, 1
Let w = 1505 - 54179/36. Let t(f) be the second derivative of 0 - 25/6*f**2 - 5*f - 5/9*f**3 - w*f**4. Factor t(a).
-(a + 5)**2/3
Let p be 10/(-4)*192/(-120). What is v in -5*v**p - 1804 - 5060*v + 220*v**3 - 1951*v**2 - 841 - 239*v**2 = 0?
-1, 23
Factor 37*a**3 + 34*a**3 - 105*a**3 + 38*a**3 - 52*a**2 - 120*a.
4*a*(a - 15)*(a + 2)
Let d(u) be the first derivative of 2*u**5/75 - u**4/30 - 32*u**3/45 + 16*u**2/15 - 1224. Determine m, given that d(m) = 0.
-4, 0, 1, 4
Let n be -36 + 40 + (-13 - -12). Factor 8/3*m**4 - 12*m**2 - 2*m**n + 0 + 0*m + 2/3*m**5.
2*m**2*(m - 2)*(m + 3)**2/3
Suppose -2*a + 16 = 2*z, z - 5*a + 4*a - 4 = 0. Suppose z*j - 37 + 25 = 0. Factor -1/6*l**3 - 4/3*l - 2/3 - 5/6*l**j.
-(l + 1)*(l + 2)**2/6
Let o(d) = -d**4 - d**3 + 1. Let k(q) = 8*q**4 - 10*q**3 + 38*q**2 - 24*q - 6. Let i be 9/36 + 10/(-8). Let v(p) = i*k(p) - 6*o(p). Factor v(a).
-2*a*(a - 4)*(a - 3)*(a - 1)
Let n(z) be the third derivative of z**6/20 - 43*z**5/18 + 106*z**4/3 + 16*z**3 + 600*z**2. Suppose n(w) = 0. What is w?
-1/9, 12
Let c be (-4302)/(-360) + -10 + 616/70. Factor 1/4*p**5 + 11/2 - 11*p**3 - 5*p**4 - 1/2*p**2 + c*p.
(p - 22)*(p - 1)*(p + 1)**3/4
Let v(j) be the third derivative of j**5/12 + 1295*j**4/6 + 670810*j**3/3 - 156*j**2 - 2*j. Determine t, given that v(t) = 0.
-518
Let n be (-6)/5*(-105)/21. Let g(c) = -20*c**3 + 21*c**2 + 68*c + 10. Let r(o) = -7*o**3 + 7*o**2 + 23*o + 3. Let d(u) = n*g(u) - 17*r(u). Factor d(m).
-(m - 9)*(m + 1)**2
Let f(q) = -17*q**3 + 163*q**2 - 799*q + 1069. Let n(b) = -6*b**3 + 54*b**2 - 267*b + 357. Let d(u) = -3*f(u) + 8*n(u). Factor d(y).
3*(y - 13)*(y - 3)**2
Factor 64/3*n**3 + 116/3*n + 2/3*n**4 + 0 + 178/3*n**2.
2*n*(n + 1)*(n + 2)*(n + 29)/3
Let u be 364/273*(-9 + 15). Factor u + 4/3*c - 1/6*c**3 - 5/6*c**2.
-(c - 3)*(c + 4)**2/6
Determine o, given that 86/17*o**2 + 12/17 - 262/17*o = 0.
2/43, 3
Let a(d) = -d - 11. Let i be a(-24). Suppose i = -3*t - 5*c, -4*t = -0*c - 2*c - 26. Solve -8*f - 2/3*f**t - 4*f**3 - 26/3*f**2 - 8/3 = 0 for f.
-2, -1
Let t(n) be the third derivative of -1/6*n**6 + 2/105*n**7 - 1/2*n**4 + 0*n**3 - 87*n**2 + 0 + 0*n + 7/15*n**5. Determine o so that t(o) = 0.
0, 1, 3
Let d(w) = w**3 - 9*w**2 + 9*w + 2. Let i = 54 - 46. Let p be d(i). Factor 5*o**3 + 4*o + 3*o**3 - 8*o**2 - p*o**2.
2*o*(o - 2)*(4*o - 1)
Let j(u) be the third derivative of -u**5/30 + 13*u**4/4 - 36*u**3 - 215*u**2. Solve j(w) = 0.
3, 36
What is v in 1356/7*v**4 - 261*v**3 + 912/7*v + 9/7*v**5 - 450/7*v**2 + 0 = 0?
-152, -2/3, 0, 1
Let d(r) be the first derivative of -r**5/20 + r**4/8 + 211*r**3/12 + 161*r**2 + 441*r + 4272. Factor d(w).
-(w - 18)*(w + 2)*(w + 7)**2/4
Let h(d) be the first derivative of -d**4/6 - 38*d**3/3 - 261*d**2 - 2106*d + 7745. Find z such that h(z) = 0.
-39, -9
Let v(w) = 39*w**2 - 4434*w - 4440. Let f(n) = 21*n**2 - 2217*n - 2220. Let p(y) = 11*f(y) - 6*v(y). Determine s so that p(s) = 0.
-1, 740
Factor -2/5*g**2 + 16 - 78/5*g.
-2*(g - 1)*(g + 40)/5
Let o(z) be the first derivative of z**5/300 - z**4/120 - 2*z**3/3 + z**2 + 54*z + 189. Let i(y) be the second derivative of o(y). Factor i(j).
(j - 5)*(j + 4)/5
Let j(o) = 12*o**2 + 829*o + 69. Let n be j(-69). Determine g so that -8/13*g**4 + n - 2*g**3 - 4/13*g - 22/13*g**2 = 0.
-2, -1, -1/4, 0
Determine x, given that 21*x - 125 + 154 + x**2 + 8*x - 7*x + 8*x = 0.
-29, -1
Let y(o) = -41*o**3 + 43*o**3 + 2*o**2 + 11*o + 7 - 15*o**2. Let f(k) = -k**3 + 7*k**2 - 6*k - 3. Let b(l) = 7*f(l) + 3*y(l). Factor b(a).
-a*(a - 9)*(a - 1)
Let u(i) be the first derivative of i**5/12 - 5*i**4/8 - 25*i**3/3 - 8*i**2 + 45. Let a(l) be the second derivative of u(l). Solve a(h) = 0.
-2, 5
Suppose 86*g - 89*g + 141 = 0. Determine h so that 51*h**4 - 99*h**4 + g*h**4 + h**3 = 0.
0, 1
Let c(v) = -7*v**4 - 5*v**3 + 167*v**2 + 411*v - 1470. Let i(p) = -3*p**4 - 4*p**3 + 4*p**2 - p. Let o(m) = -3*c(m) + 6*i(m). Solve o(l) = 0 for l.
-7, 2, 15
Suppose -3*l - 3*r = 15, -7*r + 9*r - 10 = 0. Let m be ((18/54)/(2/(-12)))/l. Solve -1/5*s**5 + 0*s - m*s**3 + 0 - 2/5*s**4 + 0*s**2 = 0.
-1, 0
Factor 184900*s - 1720*s**2 + 4*s**3 + 7494037 - 7494037.
4*s*(s - 215)**2
Factor 10*d**3 - 1159 + d**4 + 1159 - 5*d**5 + 4*d**4.
-5*d**3*(d - 2)*(d + 1)
Let n = 56891 - 398179/7. Find o such that 18/7*o**3 + 2/7*o**4 + n*o**2 + 36/7 + 78/7*o = 0.
-3, -2, -1
Let x(o) = o**2 - 8*o + 12. Let r(c) = -c + 2. Let h be r(-4). Let j be x(h). Let 11*g + 0 - 3*g - 4*g**3 + j - 4*g**2 = 0. Calculate g.
-2, 0, 1
Let p(b) = -15*b**3 - 231*b**2 + 9*b + 237. Let g(w) = -13*w**3 - 230*w**2 + 8*w + 235. Let s(c) = -6*g(c) + 5*p(c). Suppose s(i) = 0. Calculate i.
-75, -1, 1
Let i(v) be the third derivative of -v**5/30 - 157*v**4/6 - 313*v**3/3 + 39*v**2 - 13. What is l in i(l) = 0?
-313, -1
Let i be (4/210)/(10/(-400)*-8). Let h(c) be the second derivative of 3/70*c**5 + 3*c - 5/21*c**3 - 2/7*c**2 + i*c**4 + 0. Factor h(k).
2*(k - 1)*(k + 2)*(3*k + 1)/7
Let t(w) = 5*w**2 - 9*w**2 + 5*w**2 + 0*w**2 - 2*w**2. Let n(y) = 2*y + 0*y**2 - 1 + 0*y**2 - 3*y**2. Let m(o) = -n(o) + 2*t(o). Factor m(r).
(r - 1)**2
Let w(g) = -g**4 - g**3 - g**2 + 1. Let o(q) = 3*q**4 - 4*q**3 - 18*q**2 - 24*q - 13. Let y = -75 + 46. Let h = 33 + y. Let r(p) = h*w(p) + o(p). Factor r(l).
-(l + 1)**2*(l + 3)**2
Let q(c) be the first derivative of c**5/20 - 3*c**4/16 - 3*c**3/2 - c**2/2 + 6*c - 4976. Factor q(y).
(y - 6)*(y - 1)*(y + 2)**2/4
Let r be ((-12)/7)/((-183)/2135). Let 32/3*i + r + 4/3*i**2 = 0. What is i?
-5, -3
Let z(r) be the third derivative of -r**2 - 4 + 0*r**3 + 1/42*r**7 + 0*r + 0*r**4 + 7/40*r**6 + 1/15*r**5. Determine x, given that z(x) = 0.
-4, -1/5, 0
Let g(d) be the second derivative of 0*d**2 - 3*d + 0*d**3 + 1/12*d**4 + 4. Let g(f) = 0. What is f?
0
Suppose 8*i - 4*i = 0. Determine r so that -3*r**2 + 13*r - r - 4 - 5 + i = 0.
1, 3
Let o = 149 + -1939/13. Let t = 75/104 - o. Factor -g**3 - 1/4*g**4 + 1/8*g**5 + 1/2 - 1/4*g**2 + t*g.
(g - 4)*(g - 1)*(g + 1)**3/8
Let a(k) be the first derivative of k**4/18 - 22*k**3/27 + 5*k**2/3 + 6*k - 2805. Find c, given that a(c) = 0.
-1, 3, 9
Let c(z) be the third derivative of -5*z**6/8 - 749*z**5/10 + 15*z**4 - 115*z**2 + 2*z + 3. Find t such that c(t) = 0.
-60, 0, 2/25
Let n(o) = -o**3 - 249*o**2 + 4*o. Let t(a) = 3*a**2 - 2*a. Let h(j) = -5*n(j) - 10*t(j). Determine p, given that h(p) = 0.
-243, 0
Let y(w) = 24*w + 18. Suppose -9*i + 28 = 46. Let c(o) = -o**2 + 3*o + 1. Let k(q) = i*c(q) + y(q). Determine g so that k(g) = 0.
-8, -1
Let g(c) be the third derivative of 4/225*c**5 - 101*c - 2/45*c**3 + c**2 + 0 - 1/12*c**4. What is