n, given that y(n) = 0.
1, 7
Let i(t) = -14*t - 1. Let a be i(-2). Let y(o) be the first derivative of -18*o**2 - 25*o - a*o**4 - 16 + 34*o + 51*o**3 - 15*o**2. Factor y(v).
-3*(3*v - 1)**2*(4*v - 3)
Let m(i) be the second derivative of i**5/90 - i**4/3 + 3*i**3 + 155*i**2 - 2*i + 3. Let n(l) be the first derivative of m(l). Solve n(x) = 0 for x.
3, 9
Let y(w) = -4*w**3 + 5*w**2 - 8*w + 1. Let f(v) = 0*v**2 - v**3 - 15*v - 17*v + 31*v + v**2. Let c(d) = -6*f(d) + y(d). Find s such that c(s) = 0.
-1, 1/2, 1
Determine k, given that -186/5*k**2 + 2/5*k**3 + 720*k + 7000 = 0.
-7, 50
Let x(a) be the third derivative of -176*a**5/15 + 175*a**4/6 + 2*a**3/3 + a**2 + 3123*a. Factor x(p).
-4*(p - 1)*(176*p + 1)
Let m be 32/112 - ((-309)/(-63) + -5). Let h(f) be the third derivative of -15*f**2 + 0 + 0*f - m*f**3 - 1/420*f**5 + 1/21*f**4. Factor h(o).
-(o - 4)**2/7
Let q(v) be the third derivative of -v**6/120 + 41*v**5/60 + 385*v**4/24 + 343*v**3/6 + 4255*v**2. Solve q(x) = 0 for x.
-7, -1, 49
Let g(i) be the second derivative of i**6/24 - 11*i**5/12 + 20*i**4/3 - 70*i**3/3 - 25*i**2/2 - i + 1. Let h(z) be the first derivative of g(z). Solve h(r) = 0.
2, 7
Suppose 124*x - 126*x + 4 = 0. Let s(l) be the third derivative of -1/3*l**4 - 2/15*l**6 - 2/105*l**7 + 6*l**x + 0 + 0*l**3 + 0*l - 1/3*l**5. Factor s(h).
-4*h*(h + 1)**2*(h + 2)
Let r(n) be the third derivative of 1/600*n**6 - 11*n**2 - 1/1050*n**7 + 4 - 1/120*n**4 + 0*n + 1/300*n**5 + 0*n**3. Factor r(j).
-j*(j - 1)**2*(j + 1)/5
Find k, given that -k**4 - 70*k**3 - k**4 + 1500 - 1873*k - 538*k**2 + 983*k = 0.
-25, -6, -5, 1
Let j(y) = y**2 - 731*y + 9337. Let b be j(13). Solve 12/7*g**b + 16/7*g + 2/7*g**4 + 0 + 24/7*g**2 = 0.
-2, 0
Let z(h) = 74*h + 7477. Let f be z(-101). Let n(b) be the second derivative of 0*b**2 + 0 - 11/27*b**f + 1/54*b**4 - 38*b. Factor n(j).
2*j*(j - 11)/9
Let u(d) = -16*d**3 - 18*d**2 - 46*d - 30. Let j(f) = -167*f**3 - 180*f**2 - 460*f - 300. Let k(a) = 2*j(a) - 21*u(a). What is b in k(b) = 0?
-5, -3, -1
Let b = 1417 + -1415. Suppose -2*u + 2*n - 5 = -3, 3*u + 8 = 4*n. Factor -2*h**u + 11*h + 4*h**2 - 11*h**3 + 2 - 7*h**4 - 3*h**b + 6*h**2.
-(h - 1)*(h + 1)**2*(9*h + 2)
Let a(x) be the second derivative of -x**7/210 - 77*x**6/150 - 376*x**5/25 - 62*x**4/15 + 10792*x**3/15 - 2888*x**2 - 7225*x. Suppose a(u) = 0. What is u?
-38, -5, 2
Suppose 0 = 63*z - 1134 - 63. Let m be (z - (-651)/(-30))*(-8)/6. Factor m - 4/5*d**2 - 1/5*d**3 + 3/5*d.
-(d - 2)*(d + 3)**2/5
Let q(o) = 32*o + 0*o**3 + 4 + o**3 - 29*o + 5*o**2. Let t be q(-3). Suppose 9*l**3 - 3*l**5 - 6*l**4 + 0*l**5 + 25*l**2 - 12*l - t*l**2 = 0. What is l?
-2, 0, 1
Let a(r) be the third derivative of -1/15*r**5 - 1/336*r**8 - 3/40*r**6 + 0*r**4 + 110 - 1/35*r**7 + 0*r + r**2 + 0*r**3. Suppose a(v) = 0. Calculate v.
-4, -1, 0
Let z be -9 + 17 - 3*(-2)/(-3). Suppose -8 = -z*y + 2*y. Factor -8*w + 6*w - 12*w**y + 10*w**2.
-2*w*(w + 1)
Let u(g) be the third derivative of g**6/300 + 103*g**5/150 - 26*g**4/15 + 1784*g**2. Factor u(s).
2*s*(s - 1)*(s + 104)/5
Factor 44/3*q**2 + 0 + 2/9*q**3 - 134/9*q.
2*q*(q - 1)*(q + 67)/9
Suppose -591*s + 490 = 490. Solve 4/5*v**4 - 48/5*v**3 + 44/5*v**2 + s*v + 0 = 0.
0, 1, 11
Let l(c) be the first derivative of -c**3/30 + 233*c**2/10 + 467*c/10 + 1575. Factor l(y).
-(y - 467)*(y + 1)/10
Suppose -57*o + 223 = 109. Let g(m) be the first derivative of -1/2*m**4 + m**2 + o*m - 15 - 2/3*m**3. Factor g(w).
-2*(w - 1)*(w + 1)**2
Let t(x) be the third derivative of x**5/360 - 29*x**4/48 + 3*x**2 + 67*x. Determine f, given that t(f) = 0.
0, 87
Suppose 6*a = -1 + 31. Factor n**3 - 35*n**2 - 33*n**3 - 33*n**3 - 6*n**4 - 19*n**4 + a*n**5.
5*n**2*(n - 7)*(n + 1)**2
Let w be 5*1 + (-9)/(33/11). Factor -15*a**w - 100 - 16*a**2 - 19068*a + 18878*a - 6*a**3 - 33*a**2.
-2*(a + 5)**2*(3*a + 2)
Suppose -860 = -554*q - 649 + 1451. Factor -2/7*n**q + 2*n**2 + 0 - 12/7*n.
-2*n*(n - 6)*(n - 1)/7
Let j(u) = 22*u - 6. Let x be j(3). Let v = x + 693. Factor v*f**2 - 753*f**2 + 14*f**5 + 6*f**3 + 20*f**4.
2*f**3*(f + 1)*(7*f + 3)
Let r(z) be the first derivative of -3*z**2 - 2/3*z**3 + 36*z - 91. Factor r(l).
-2*(l - 3)*(l + 6)
Let z = -71522 + 71524. What is h in 11*h**z + 0 + 7/2*h**3 - 4*h - 3/2*h**4 = 0?
-2, 0, 1/3, 4
Suppose -4*c - 2*g + 34 = 0, -5*c - 2*g + 235 - 199 = 0. What is l in -2/3*l**c + 248/3*l - 7688/3 = 0?
62
Let h be 10*(-4)/16*(2142/(-85))/21. Find t such that -2/11*t**h + 0 + 0*t**2 - 2/11*t**4 + 0*t = 0.
-1, 0
Let k(q) = 3*q + 25. Let f be k(-9). Let l be ((-138)/(-24) + f)/(6/8). Suppose -15*r**4 - 19*r**5 - 10*r**5 + l*r**3 + 15*r**2 + 24*r**5 = 0. What is r?
-3, -1, 0, 1
Let u = -121589 + 972715/8. Factor -9/8*h**3 - 1/2*h**4 + 5/8*h - 3/8*h**2 + u.
-(h + 1)**3*(4*h - 3)/8
Suppose -12*t = t + 65. Let k be ((-24)/t)/4*215/903. Find n such that -2/7*n**4 - 2/7 + k*n**5 + 4/7*n**2 + 2/7*n - 4/7*n**3 = 0.
-1, 1
Suppose -29*z + 25 + 62 = 0. What is q in 1321*q**z + 25 + 16*q - 25 - 12*q**2 - 1325*q**3 = 0?
-4, 0, 1
Suppose -208/11 - 206/11*c + 2/11*c**2 = 0. Calculate c.
-1, 104
Let i be 19 - 16/(-1) - 32. Let 0 - 1/3*g**5 + 10/3*g - i*g**3 - 7/3*g**2 + 7/3*g**4 = 0. Calculate g.
-1, 0, 1, 2, 5
Let i(z) = z**2 + 125*z + 3752. Let m be i(-75). Solve 0*f + 0*f**m + 0 - 1/5*f**3 = 0 for f.
0
Let w = -98 - -303. Suppose -7*p + 2*p = 3*d - w, 0 = -5*p - d + 215. Suppose p*j - 12*j**2 - 65*j + 4*j**3 + 29*j = 0. Calculate j.
0, 1, 2
Let r(g) be the first derivative of -g**4/4 - 8*g**3/3 - 1036. Find m such that r(m) = 0.
-8, 0
Let u(f) be the second derivative of -f**6/15 + 19*f**5/10 - 49*f**4/6 - 53*f**3 - 90*f**2 + 4*f + 11. Solve u(c) = 0.
-1, 6, 15
Suppose -10*q - 18*q + 3*q + 50 = 0. Factor 2/9*k - 2/9*k**q + 4/9.
-2*(k - 2)*(k + 1)/9
Let p(f) = -3*f**2 + 1331*f + 4. Let x(h) = 5*h**2 - 2670*h - 10. Let a(v) = 5*p(v) + 2*x(v). Factor a(n).
-5*n*(n - 263)
Let a be (-71)/(6745/(-6498)) - 68. Suppose -44/5*j**3 - 4*j**4 - a*j**5 - 20 + 56/5*j**2 + 22*j = 0. What is j?
-5, -2, 1
What is w in -1/3*w**2 - 496/3 + 250/3*w = 0?
2, 248
Let n be (2392/(-115))/(-1 + 226/230). Let a be 2/13 + (-184)/n. Find s, given that -2/15*s**5 + 0 + a*s**4 + 4/15*s**3 - 2/15*s + 0*s**2 = 0.
-1, 0, 1
Let s(p) = 52 + 38 + p - 74. Let c be s(-12). Factor -4*l - 3*l + l**2 + 3*l + 0*l**2 + c.
(l - 2)**2
Let x = -113 + 126. Factor 2*q**4 - 24*q**5 + 4*q**4 + 12*q**2 + 25*q**5 + 10*q - 6*q + x*q**3.
q*(q + 1)**2*(q + 2)**2
Factor -2672/9*z - 8/9 + 227138/9*z**5 + 673334/9*z**3 - 219074/9*z**2 - 678718/9*z**4.
2*(z - 1)**3*(337*z + 2)**2/9
Suppose 3*r + 109 = 100. Let n be r/(-2)*48/56 + -1. Solve 0*i**2 + 0*i**4 + n*i**3 + 0*i + 0 - 2/7*i**5 = 0 for i.
-1, 0, 1
Suppose -2*b = 3*m - 4, -4*m = -b + 5*b. Suppose -y + m = -16. Factor -4*t**5 + 7*t**5 + 7*t**3 + 13*t**3 - y*t**4 + 2*t**5.
5*t**3*(t - 2)**2
Let b(x) be the first derivative of x**4 + 268*x**3 + 400*x**2 + 2084. Factor b(i).
4*i*(i + 1)*(i + 200)
Factor 0 + 1/5*s**4 + 0*s - 19/5*s**3 + 0*s**2.
s**3*(s - 19)/5
Suppose k + 50 = 11*k. Suppose 2*v**3 - 2*v**4 - 6*v**k + 16*v**4 - 10*v**4 = 0. What is v?
-1/3, 0, 1
Let a(q) = 1952*q - 1950. Let f be a(1). Find k, given that 0 - 1/3*k**3 + 1/3*k**5 - k**f + 0*k + k**4 = 0.
-3, -1, 0, 1
Let g(t) be the first derivative of 4*t**5/5 - 36*t**4 + 40*t**3 + 344*t**2 + 420*t - 964. Solve g(w) = 0.
-1, 3, 35
Let m(t) = -9*t**3 + 732*t**2 + 489*t + 249. Let v be m(82). Let 3/2*d + 0 + d**2 - 1/2*d**v = 0. Calculate d.
-1, 0, 3
Let w = -80/233 - -2626/6291. Let y(o) be the first derivative of -w*o**3 + 22 - 8/9*o**2 - 32/9*o. Factor y(p).
-2*(p + 4)**2/9
Let h(f) be the second derivative of -5*f**4/12 + 1250*f**3/3 + 2505*f**2/2 + 440*f - 3. Factor h(o).
-5*(o - 501)*(o + 1)
Let m(c) be the second derivative of c**6/15 + 2*c**5 - 11*c**4 - 660*c**3 + 2025*c**2 - 11*c + 19. Determine i, given that m(i) = 0.
-15, 1, 9
Let x(p) be the first derivative of 15842*p**3/33 - 356*p**2/11 + 8*p/11 - 1121. Factor x(r).
2*(89*r - 2)**2/11
Let k(h) = -30*h**2 - 6*h + 3. Let c be k(4). Let z = c - -501. Determine o so that 0*o - 2/3*o**3 + 1/3*o**4 + z + 0*o**2 = 0.
0, 2
Let q(y) be the second derivative of y**8/448 - y**7/140 + y**5/40 - y**4/32 + 47*y**2/2 + 3*y - 13. Let u(n) be the first derivative of q(n). Factor u(d).
3*d*(d - 1)**3*(d 