. Let s be o(6). Suppose 3*j = -2*h + s, -3*j + 0*h - 4*h = -42. Find a such that 0*a + 6*a**5 + j*a**4 + 0 + 2/3*a**2 + 14/3*a**3 = 0.
-1, -1/3, 0
Let l = 6236 + -6236. Let z(t) be the third derivative of -14*t**2 + 1/360*t**5 + 5/72*t**4 + 0 + l*t + 25/36*t**3. Factor z(c).
(c + 5)**2/6
Let v(y) = 11*y**3 - 37*y**2 - 40*y + 87. Let u(z) = -30*z**3 + 112*z**2 + 122*z - 260. Let t(r) = -3*u(r) - 8*v(r). Let t(j) = 0. What is j?
-2, 1, 21
Let l(c) be the second derivative of c**6/5 - 217*c**5/10 - 1103*c**4/18 - 517*c**3/9 - 74*c**2/3 + 4467*c. Solve l(m) = 0.
-1, -1/3, 74
Let n = -2 + 7. Let y = 2467 - 2464. Suppose -2*j**n + 2*j**y + j**5 - j - 1112*j**4 + 1112*j**4 = 0. Calculate j.
-1, 0, 1
Suppose -4*g + 66 = 5*p + 25, g = 3*p - 28. Factor 6*h**3 + 3*h - p*h - 12 - 16*h + 2*h**4 - 6*h**2.
2*(h - 2)*(h + 1)**2*(h + 3)
Let t = 34820 + -34804. Solve -13*v**4 - 3*v**5 + 16/3 - 40/3*v**3 + t*v + 8*v**2 = 0 for v.
-2, -2/3, 1
Let y(r) be the second derivative of -r**4/6 + 23*r**3/3 + 680*r**2 + 1930*r + 2. Solve y(i) = 0 for i.
-17, 40
Let j(h) be the first derivative of -2*h**3 - 35 - 1/2*h**4 - 1/3*h**6 + 0*h + 2*h**2 + 6/5*h**5. Find z, given that j(z) = 0.
-1, 0, 1, 2
Suppose 3*g - 89 = -4*n + 8*g, 0 = -5*n - 2*g + 70. Suppose 12*w - n = 11*w. Factor -64*c - 6*c**3 + 16*c**3 - w - 9*c**3 + 76*c**2 - 21*c**3.
-4*(c - 2)**2*(5*c + 1)
Let s = -52 + 178. Find o such that -168*o - 25*o**2 - 79 + 61 - o**3 - s = 0.
-12, -1
Suppose -2*z**2 - 42*z - 3097 - 3120 + 6141 = 0. What is z?
-19, -2
Let j(p) be the second derivative of p**6/50 - 453*p**5/50 + 1197*p**4/20 - 746*p**3/5 + 894*p**2/5 + 15*p + 43. Find g such that j(g) = 0.
1, 2, 298
Let w = 114 - 107. Suppose -17*p - w*p - 6*p**2 + 18*p**3 - 9*p**3 - 6*p**3 = 0. What is p?
-2, 0, 4
Let s(r) = -9*r + 8*r**2 + 32*r**2 + 672*r**3 - 671*r**3 - 356. Let n be s(-40). Factor -6/7*h - 24/7*h**3 - 2/7*h**5 + 12/7*h**n + 0 + 20/7*h**2.
-2*h*(h - 3)*(h - 1)**3/7
Let p(x) be the third derivative of x**7/210 - 5*x**6/4 - 76*x**5/15 - 2*x**2 + 49*x + 2. Let p(n) = 0. What is n?
-2, 0, 152
Suppose 0 = 39*f + 35*f - 73*f. Let y(r) be the second derivative of -1/60*r**5 + f*r**4 - 11*r + 1/6*r**3 + 1/3*r**2 + 0. Determine q so that y(q) = 0.
-1, 2
Let q(f) be the second derivative of -f**5/80 + f**4/16 + 5*f**3/2 + 25*f**2/2 - 1516*f. Find d, given that q(d) = 0.
-5, -2, 10
Let i(y) be the first derivative of -205*y**6/27 - 1456*y**5/45 - 37*y**4/2 + 1676*y**3/27 + 452*y**2/9 - 16*y/3 - 8508. Find w such that i(w) = 0.
-2, -3/5, 2/41, 1
Let u be (0 + 240/(-168))/(6/(-12)). Factor 48/7 - 2/7*m**2 + u*m.
-2*(m - 12)*(m + 2)/7
Let f(a) = 295*a**3 - 35750*a**2 - 50*a + 35890. Let k(m) = 17*m**3 - 2103*m**2 - 3*m + 2111. Let n(w) = 2*f(w) - 35*k(w). Suppose n(p) = 0. Calculate p.
-1, 1, 421
Let j(i) = -2*i**2 + 11*i - 3. Let n be j(5). Find k, given that 12*k**3 - 11*k + 6*k + 15*k**n + 7*k + k = 0.
-1, -1/4, 0
Let f be (77/(-30))/11 + ((-406)/435 - 24/(-18)). Factor -36*r**2 - 62208 + 2592*r + f*r**3.
(r - 72)**3/6
Factor 1/6*q**5 + 9125*q**3 + 83543/3*q**2 + 56011/2*q - 157/2*q**4 + 18723/2.
(q - 237)**2*(q + 1)**3/6
Let y(b) be the third derivative of -b**6/160 + 17*b**5/240 - 11*b**4/48 + b**3/3 + 12*b**2 - 7*b + 1. Factor y(o).
-(o - 4)*(o - 1)*(3*o - 2)/4
Let m(z) be the second derivative of -4/135*z**6 + 23/18*z**3 - 43/54*z**4 + 11/45*z**5 - z**2 + 0 - 54*z. Determine a so that m(a) = 0.
1/2, 3/2, 2
Let k be -61 + 44 - (-291)/(-102)*-6. Determine f, given that 158/17*f**2 + 24/17*f**5 - 12/17 + 2/17*f - 10*f**3 - k*f**4 = 0.
-3, -1/4, 1/3, 1, 2
Suppose 0 = -5*u + 2*j + 4 + 6, u - 2 = -5*j. Factor -15*h**2 - 5*h**3 + 4*h**4 + u*h + h + 10 + h**4 + 2*h.
5*(h - 2)*(h - 1)*(h + 1)**2
Let m = 821/2476 + 13906063/12380. Let -2/5*s**2 - m + 212/5*s = 0. What is s?
53
Let b = 3527 + -3525. Let z(a) be the first derivative of 23 - 3/2*a**b + 0*a - 3/8*a**4 - 3/2*a**3. Let z(r) = 0. What is r?
-2, -1, 0
Let l(v) be the first derivative of -v**6/27 + 58*v**5/45 - 13*v**4/9 - 112*v**3/27 + 7253. Find a such that l(a) = 0.
-1, 0, 2, 28
Suppose -84*c + 118*c - 138 - 32 = 0. Let -8/13*m - 6/13*m**3 - 16/13*m**2 + 0 + 4/13*m**4 + 2/13*m**c = 0. What is m?
-2, -1, 0, 2
Let k = 2345/4194 + -124/2097. Factor 15/2*a + k*a**2 + 0.
a*(a + 15)/2
Let w(x) = 86*x - 1654. Let m be w(19). Let i(g) = 0 - 1 + 0. Let q(j) = -2*j**3 - 8*j**2 - 8*j + 10. Let l(n) = m*i(n) - 2*q(n). Determine o so that l(o) = 0.
-2, 0
Let q(l) be the third derivative of -7*l**5/180 + 5*l**4/36 + 11*l**3/6 - 8523*l**2. Factor q(r).
-(r - 3)*(7*r + 11)/3
Let 528/5*v**2 + 60*v**4 - 224/5*v + 28/5*v**5 + 0 + 808/5*v**3 = 0. Calculate v.
-7, -2, 0, 2/7
Let x be 4/36*-3*1305/6. Let z = x - -73. Find j, given that 0 + 1/6*j + 1/6*j**4 + z*j**3 + 1/2*j**2 = 0.
-1, 0
Let j = -1006203 + 1006203. Let j + 28/3*g**4 + 8/3*g - 8/3*g**3 - 28/3*g**2 = 0. What is g?
-1, 0, 2/7, 1
Find u such that -12/5 + 2157/5*u**2 + 4308/5*u = 0.
-2, 2/719
Let n = 5034/119 - -3404598/1547. Solve -n*t - 24300/13*t**2 - 13122/13 - 1250/13*t**4 - 9000/13*t**3 = 0.
-9/5
Let v(l) = -19*l**5 + 142*l**4 - 368*l**3 + 344*l**2 - 127*l + 7. Let y(s) = 2*s**5 - s**4 - s**3 + 3*s**2 + s - 1. Let b(k) = -v(k) - 7*y(k). Solve b(r) = 0.
0, 1, 24
Let u(t) be the third derivative of -t**7/42 + 7*t**6/24 - 7*t**5/6 + 5*t**4/3 - t**2 - 2*t + 4. Factor u(n).
-5*n*(n - 4)*(n - 2)*(n - 1)
Let u(n) be the first derivative of -n**6/3240 + 2*n**5/135 - 85*n**3 + 250. Let z(w) be the third derivative of u(w). Let z(i) = 0. Calculate i.
0, 16
Suppose 208 = 5*a + 10*a - 2*a. Let n(l) be the first derivative of -5/44*l**4 + 6/11*l**2 + a + 4/11*l + 1/11*l**3. Factor n(f).
-(f - 2)*(f + 1)*(5*f + 2)/11
Solve 3940/11*b - 1940450/11 - 2/11*b**2 = 0 for b.
985
Let j be (-2)/(34/17*(-2)/8). Let f(z) be the first derivative of -10 - 4/15*z**3 + 0*z**j + 0*z**2 + 2/25*z**5 + 2/5*z. Solve f(s) = 0 for s.
-1, 1
Suppose -4*f = -13*f + 36. Factor q + 237*q**4 - 6*q**2 + 2 - 4*q**3 + 229*q**4 + 3*q**5 - 462*q**f.
(q - 1)*(q + 1)**3*(3*q - 2)
Let f be ((-448)/(-42))/(2/42). Factor -f*g**2 + 144*g**2 - g**3 + 26*g - 3*g**3 - 72 - 174*g.
-4*(g + 1)**2*(g + 18)
Factor 948*j**3 + 368*j + 512*j**2 - 318*j**3 + 590*j**2 - 319*j**3 - 317*j**3.
-2*j*(j - 184)*(3*j + 1)
Let w(q) be the first derivative of -q**7/315 + q**6/60 + q**5/90 - q**4/12 + q**2 + 4*q + 27. Let f(b) be the second derivative of w(b). Factor f(k).
-2*k*(k - 3)*(k - 1)*(k + 1)/3
Let x(p) be the first derivative of p**4/8 - 11*p**3/6 + 23*p**2/4 + 35*p/2 + 7715. Factor x(g).
(g - 7)*(g - 5)*(g + 1)/2
Let y(c) be the second derivative of c**5/40 - 21*c**4/16 - 18*c**3 - 42*c**2 - 249*c. Let n(s) be the first derivative of y(s). Factor n(u).
3*(u - 24)*(u + 3)/2
Let w(a) = 37*a**2 + 51*a - 223. Let r(h) = -87*h**2 - 101*h + 447. Let l(g) = 3*r(g) + 7*w(g). Let l(f) = 0. What is f?
5, 22
Let u(t) be the third derivative of t**8/60480 - t**7/3780 - 3*t**5/4 - 38*t**2 - 1. Let p(m) be the third derivative of u(m). Determine h so that p(h) = 0.
0, 4
Let i(l) be the third derivative of 3*l**4 + 35/3*l**3 + 1/30*l**5 + 0 + 0*l + 140*l**2. Find y such that i(y) = 0.
-35, -1
Let r be -7 + (1 - -24) - 7. Let j(s) = 7*s - 74. Let q be j(r). Determine x, given that -1/2 + 3/2*x**4 + 3/2*x - 1/2*x**5 - x**2 - x**q = 0.
-1, 1
Let g(l) be the third derivative of -l**9/7560 + l**8/3360 + l**7/210 + 7*l**4/12 - 3*l**2. Let m(q) be the second derivative of g(q). What is p in m(p) = 0?
-2, 0, 3
Factor 2/7*q**3 + 12/7 + 16/7*q**2 + 26/7*q.
2*(q + 1)**2*(q + 6)/7
Let n = 39/28 + -83/140. Let p be -7*(-40)/70*1. Solve -n*b**5 - 4*b**4 - 8*b**2 - p*b - 4/5 - 8*b**3 = 0.
-1
Let y = -58 - 334. Let c be (-14)/6*42/y. Factor -5/4*b + 3/2 + c*b**2.
(b - 3)*(b - 2)/4
Let b(g) = g**2 + g - 2. Let l(z) be the second derivative of -2*z**4/3 - 31*z**3/2 + 101*z**2/2 - 87*z. Let k(f) = -3*b(f) - l(f). Factor k(m).
5*(m - 1)*(m + 19)
Let b(v) be the third derivative of v**6/60 - 31*v**5/5 - 63*v**4/4 + 374*v**3/3 + 3*v**2 - 434*v. Determine h, given that b(h) = 0.
-2, 1, 187
Let u(r) be the third derivative of 0 + r - 1/270*r**5 - 1/540*r**6 - 1/9*r**3 + 5/108*r**4 + r**2. Factor u(v).
-2*(v - 1)**2*(v + 3)/9
Suppose -24 + 10*q**2 - 2/5*q**4 - 16/5*q**3 + 88/5*q = 0. Calculate q.
-10, -2, 1, 3
Suppo