 = 3*n - 0*n, 0 = u*n - 6. Factor 24/7*y - 18/7*y**2 + 3/7*y**4 - 9/7 + j*y**3.
3*(y - 1)**3*(y + 3)/7
Let g(c) = c**2 + 2*c - 20. Let r(t) be the first derivative of 3*t - 129. Let d(q) = -2*g(q) - 14*r(q). Suppose d(f) = 0. Calculate f.
-1
Find g, given that -16671/8*g**3 - 99*g**4 - 3/2*g**5 - 7605/2 - 104409/8*g**2 + 14664*g = 0.
-26, -15, 1/2
Let a(x) be the third derivative of -x**8/3024 - 73*x**7/1890 - 479*x**6/360 - 763*x**5/108 - 1225*x**4/108 + 250*x**2 - 1. Find u such that a(u) = 0.
-35, -2, -1, 0
Let c(w) = 143*w + 858. Let g be c(-6). Let o(l) be the second derivative of 2/15*l**2 - 1/45*l**3 - 1/90*l**4 + 16*l + g. Factor o(m).
-2*(m - 1)*(m + 2)/15
Let g(t) be the third derivative of -198147*t**5/5 + 257*t**4 - 2*t**3/3 - t**2 - 288. Let g(w) = 0. What is w?
1/771
Let t(g) be the second derivative of g**7/210 - 13*g**6/150 + 23*g**5/100 - 11*g**4/60 + 2*g + 34. Factor t(j).
j**2*(j - 11)*(j - 1)**2/5
Let y be -1 + -1 - 20/(-2). Determine f so that 3*f**5 - 8*f**4 + 5*f**4 - y + 27*f**2 + 8 + 54*f - 33*f**3 = 0.
-3, -1, 0, 2, 3
Let j = -76601 + 76601. Find v, given that 0*v - 2/5*v**2 + j + 0*v**3 + 2/5*v**4 = 0.
-1, 0, 1
Let t(h) be the first derivative of -h**6/33 + 58*h**5/55 + 69*h**4/22 - 442*h**3/33 + 124*h**2/11 - 2155. Find j, given that t(j) = 0.
-4, 0, 1, 31
Let y = -12623 + 12627. Let w(a) be the second derivative of -5/12*a**3 + 0*a**6 - 5/84*a**7 + 1/4*a**5 + 0*a**y + 0*a**2 - 13*a + 0. Factor w(n).
-5*n*(n - 1)**2*(n + 1)**2/2
Let g(h) = 13*h**3 - 1051*h**2 + 45407*h + 28. Let t(c) = 7*c**3 - 526*c**2 + 22703*c + 16. Let f(n) = 4*g(n) - 7*t(n). Factor f(a).
3*a*(a - 87)**2
Let q(t) be the first derivative of -2*t**3/33 + 10*t**2 + 222*t/11 - 1378. Factor q(s).
-2*(s - 111)*(s + 1)/11
Let h(f) = -62*f + 436. Let q be h(7). Let x = -41 - -125/3. Factor -1/3*a - x + 1/3*a**q.
(a - 2)*(a + 1)/3
Let f(l) = 2*l**3 - 30*l**2 + 27*l + 16. Let h = 511 - 497. Let g be f(h). Factor -16/7 + 16/7*k - 4/7*k**g.
-4*(k - 2)**2/7
Suppose 18*t - 3712 = -14*t. Let y = t - 114. Let -8/7*m**3 - 4/7*m**4 + 8/7*m**5 + 4/7*m**y + 0*m + 0 = 0. What is m?
-1, 0, 1/2, 1
Let b(v) be the first derivative of -3*v**4/4 + 398*v**3 + 2397*v**2/2 + 1200*v - 2532. What is q in b(q) = 0?
-1, 400
Let k = -974578 + 974683. Suppose 66*h + k*h**2 + 75/2*h**3 + 12 = 0. Calculate h.
-2, -2/5
Let d be 14/(-6) - -3 - 0. Let t = 13497 - 40487/3. Factor -d*l + 0 - 5/3*l**2 - t*l**3 - 1/3*l**4.
-l*(l + 1)**2*(l + 2)/3
Suppose 13*h = 977 + 5042. What is y in -840*y**2 + 2560 + 90*y - 5*y**4 + h*y + 115*y**3 + 121*y + 926*y = 0?
-1, 8
Let b(i) be the third derivative of 6561*i**8/448 - 729*i**7/56 - 243*i**6 + 936*i**5 - 1600*i**4 + 1536*i**3 - 2509*i**2. Find x such that b(x) = 0.
-3, 8/9
Let l(m) be the first derivative of 5*m**4/4 - 35*m**3/3 + 55*m**2/2 - 25*m - 1021. Factor l(y).
5*(y - 5)*(y - 1)**2
Let t(k) = -4*k**4 + 9*k**3 - 5*k**2 - 45*k. Let m(w) = 2*w**4 - 10*w**3 + 6*w**2 + 46*w. Let z(y) = 3*m(y) + 2*t(y). Determine x, given that z(x) = 0.
-6, -2, 0, 2
Let i(g) = 10*g**5 - 2*g**4 - 87*g**3 + 2*g**2 + 137*g - 57. Let p(u) = -u**4 - u**3 + u**2 + u - 1. Let f(q) = -i(q) - 3*p(q). What is n in f(n) = 0?
-2, 1/2, 1, 3
Let f(p) be the second derivative of -7/16*p**3 + 2*p - 15/8*p**2 - 7 - 1/32*p**4. Find z, given that f(z) = 0.
-5, -2
Let o(b) be the third derivative of b**6/480 + 23*b**5/60 - 283*b**4/96 + 95*b**3/12 + 5*b**2 + 141. Factor o(u).
(u - 2)*(u - 1)*(u + 95)/4
Let d = -16980 + 32809/2. Let m = d + 576. Factor -1/2*n**2 + m + 1/2*n - 1/2*n**3.
-(n - 1)*(n + 1)**2/2
Factor -93/2 - 3/4*m**3 + 24*m**2 - 87/4*m.
-3*(m - 31)*(m - 2)*(m + 1)/4
Let n(u) = 13*u**3 - 16*u**2 - 3*u + 1. Let l be n(3). Let w = l - 793/4. Factor -w + 9/4*y + 3*y**2.
3*(y + 1)*(4*y - 1)/4
Let v = 57374 - 57362. Find q such that -3/5*q**2 - 63/5*q - v = 0.
-20, -1
Find v, given that 4*v**3 - 272*v**4 - 199*v**3 - 351*v**3 - 32*v**5 - 12 - 416*v**2 - 120*v - 2*v = 0.
-6, -1, -1/4
Let g(a) = -10*a**2 + 96*a + 742. Let i(o) = 9*o**2 - 90*o - 741. Let y(x) = -5*g(x) - 6*i(x). Solve y(d) = 0 for d.
-8, 23
Let f(h) = 7*h**3 - 1606*h**2 + 6688*h - 6432. Let s(d) = -6*d**3 + 1607*d**2 - 6646*d + 6432. Let w(n) = -5*f(n) - 6*s(n). Suppose w(m) = 0. Calculate m.
2, 1608
Let b(u) = u**2 + 17*u - 35. Let s be b(-19). Factor 13*c + 20*c**2 - 144 + 22*c - 59*c - 2*c**s.
-2*(c - 6)**2*(c + 2)
Let w(o) be the second derivative of 37 - o**3 - 2*o - 11/36*o**4 - 1/60*o**5 + 0*o**2. Solve w(b) = 0.
-9, -2, 0
Let b(c) = 35*c**2 - c + 1. Let r be b(2). Suppose 4*s = r - 51. Find w, given that s*w**2 + 10*w + 3 + 110*w**3 - 92*w**3 + 3*w + w**5 + 7*w**4 = 0.
-3, -1
Let j = 625/214 + -884/321. Factor -32/3*v - j*v**2 - 512/3.
-(v + 32)**2/6
Let y be 38/133*(-42)/(-4). Let 16*x**y + 6*x**2 + 0*x**4 + x**4 - 2*x**2 - 11*x**3 = 0. Calculate x.
-4, -1, 0
Let s(f) be the second derivative of -4*f**2 - 1/21*f**4 - 1/210*f**5 + 4*f + 5/21*f**3 + 0. Let t(u) be the first derivative of s(u). Factor t(n).
-2*(n - 1)*(n + 5)/7
Let g be ((5/(-9))/((-965)/4632))/((-2)/(-3)). Let s(a) be the second derivative of 0 + 34*a - 4/9*a**3 - 1/54*a**4 - g*a**2. Factor s(t).
-2*(t + 6)**2/9
Let h = 21 + -45. Let y = 28 + h. What is n in 27*n - 24*n - 3*n**3 + 3*n**2 - n**4 - 2*n**y = 0?
-1, 0, 1
Let z(j) be the third derivative of -16/3*j**3 + 0*j - 22*j**2 + 3/20*j**6 - 1/105*j**7 + 0 + 3*j**4 - 14/15*j**5. Let z(l) = 0. Calculate l.
1, 2, 4
Suppose -100 = -r - 5*i, i - 3*i + 10 = 0. Let b be (681/r - 9)/(1/15). Factor 2/5 + 2/5*p**3 + b*p + 6/5*p**2.
2*(p + 1)**3/5
Let d(b) be the first derivative of 5*b**3/6 + 95*b**2/4 + 85*b + 871. Determine k, given that d(k) = 0.
-17, -2
Suppose -192 + 168 = -12*z. Let d(w) be the first derivative of -1/9*w**3 - 2/3*w**z + 7 - w. Let d(p) = 0. What is p?
-3, -1
Let o(t) = t**2 + 3*t - 548. Let h be o(22). Let b(w) be the third derivative of 0 + 1/3*w**3 + 38*w**h + 1/8*w**4 + 0*w + 1/60*w**5. Let b(q) = 0. What is q?
-2, -1
Factor 647*x - 1933 - 32*x**2 + 60*x - 1642 + 33*x + 27*x**2.
-5*(x - 143)*(x - 5)
Determine z so that -1/3*z**5 - 5290/3*z**3 + 153467/3*z + 127/3*z**4 + 79507/3 + 68542/3*z**2 = 0.
-1, 43
Let u be (-42)/(-161) - (-2304)/(-21528). Factor -14/13 - 16/13*a - u*a**2.
-2*(a + 1)*(a + 7)/13
Let j = 386/79 + -1693/395. Determine x, given that j*x**3 + 0*x + 0 + 6/5*x**2 = 0.
-2, 0
Let p be 700/75*4/(-168)*-7. Factor 22/9*u**3 + p*u + 4/9 - 40/9*u**2.
2*(u - 1)**2*(11*u + 2)/9
Let s(u) be the second derivative of -u**7/441 - 29*u**6/315 - 53*u**5/210 + 29*u**4/126 + 6*u**3/7 + 122*u. Suppose s(g) = 0. Calculate g.
-27, -2, -1, 0, 1
Let w be 2*((-8)/(-14) + 670/(-1190)). Let o = 107/714 + w. Find l such that 0*l**3 + o*l**4 + 1/6 - 1/3*l**2 + 0*l = 0.
-1, 1
Find a, given that -10 - 12/13*a**2 - 142/13*a = 0.
-65/6, -1
Let x(m) = 198*m - 197*m + m**3 - 7*m**2 + 6*m**2 + 1. Let c(q) = -3*q**3 - 8*q**2 + 7*q. Let o = 0 - -1. Let h(d) = o*c(d) + 6*x(d). Factor h(g).
(g - 3)*(g - 2)*(3*g + 1)
Let s(j) be the second derivative of -5*j**8/336 + 4*j**7/21 - 7*j**6/24 - 20*j**2 - 11*j. Let i(d) be the first derivative of s(d). Find u such that i(u) = 0.
0, 1, 7
Suppose 5*i - 102 = 4*u, 88 = -3927*i + 3931*i. Factor 1/8*a**u + 31/4*a + 961/8.
(a + 31)**2/8
Determine c so that -14*c**4 - 2120 - 8*c**3 + 2120 + 11*c**5 + 56*c**4 = 0.
-4, 0, 2/11
Let l(n) be the first derivative of -35*n**6/6 - 68*n**5 - 355*n**4/4 + 2230*n**3/3 - 930*n**2 + 360*n + 253. Find f such that l(f) = 0.
-6, 2/7, 1
Let w(k) = -3*k**2 + 12*k + 6. Suppose 36 = -6*r + 30. Let i be (2*2/(-4))/(r/15). Let u(s) = -s. Let x(j) = i*u(j) + w(j). Factor x(f).
-3*(f - 1)*(f + 2)
Let j(p) be the second derivative of p**4/12 + 1192*p**3/3 - 2385*p**2/2 + 453*p + 12. Factor j(s).
(s - 1)*(s + 2385)
Let l(p) be the second derivative of p**5/210 - 2*p**4/7 + 48*p**3/7 + 17*p**2/2 + 145*p. Let d(n) be the first derivative of l(n). Suppose d(r) = 0. What is r?
12
Solve -649*i**3 + 941*i**4 - 936*i**4 - 1701*i**3 = 0.
0, 470
Find j such that -56*j**2 + 4*j**5 + 1838 - 5*j**4 - 911 - 959 + 21*j**4 + 4*j**3 - 80*j = 0.
-2, -1, 2
Let n(j) = 9*j**3 + 9*j**2 - 240*j + 3. Let p(o) = -16*o**3 - 15*o**2 + 481*o - 5. Let c(b) = -5*n(b) - 3*p(b). Factor c(s).
3*s*(s - 9)*(s + 9)
Let o(b) be the second derivative of -b**4/