
-33, 2
Let r be (-260)/(-35) + -7 + (-1093)/7. Let p = r - -157. Solve -18/7 - 33/7*x - p*x**2 = 0 for x.
-3, -2/3
Suppose 3*o = -3*q + 6, 0 = -3*o - 2*q - 155 + 159. Let v(g) be the second derivative of -8/3*g**3 + 16*g**2 + 35*g + 1/6*g**4 + o. Let v(a) = 0. What is a?
4
Let r(a) be the first derivative of -5*a**3/3 + 2905*a**2 - 5805*a + 1679. Factor r(i).
-5*(i - 1161)*(i - 1)
Let k(w) be the second derivative of -w**7/4200 - 2*w**6/225 - 8*w**5/75 + w**3/6 + w**2/2 - 44*w. Let n(z) be the second derivative of k(z). Factor n(v).
-v*(v + 8)**2/5
Let p(r) be the second derivative of 1/15*r**4 - 1/100*r**5 - 171*r + 0*r**3 + 0*r**2 - 2/75*r**6 + 1/210*r**7 + 0. Factor p(l).
l**2*(l - 4)*(l - 1)*(l + 1)/5
Solve -122500/3 - 17500*p - 6325/3*p**2 - 50*p**3 - 1/3*p**4 = 0.
-70, -5
Let s(j) be the second derivative of j**6/6 - 13*j**5/4 - 25*j**4/4 + 65*j**3/6 + 35*j**2 + 2*j + 24. Let s(r) = 0. Calculate r.
-1, 1, 14
Let j(s) be the first derivative of 70*s**6 - 148*s**5/5 - 292*s**4 + 448*s**3 - 256*s**2 + 64*s + 22. Solve j(a) = 0.
-2, 2/7, 2/5, 2/3, 1
Suppose -5*h = 3*s - 37, 4*h = 7*h - 15. Let w = s + 14. Solve l**4 - w*l**3 - 4*l + 16*l**3 + 4*l = 0 for l.
0, 2
Let 1/3*n**2 + 17/3*n - 38/3 = 0. What is n?
-19, 2
Let d(b) = -b**2 + 300*b + 1836. Let c be d(-6). Factor 1/2*w - 1/6*w**2 + c.
-w*(w - 3)/6
Let o be ((-132)/242 - 200/(-44))*(-6)/384*-30. Factor 0 - 27/8*v**2 - 3/4*v + o*v**3.
3*v*(v - 2)*(5*v + 1)/8
Suppose -4*a - 2*r = -4, 51 = -3*a + 5*r + 67. Let w be a/(-1)*19/(-114). Find l such that 1 - w*l**2 + 2/3*l = 0.
-1, 3
Suppose 18*w - 455 - 355 = 0. Factor -p + 44*p**3 + 3*p**2 - w*p**3 - p**2.
-p*(p - 1)**2
Let k(b) = 602*b**3 + 5110*b**2 - 4651*b - 979. Let n(w) = 177*w**3 + 1503*w**2 - 1368*w - 288. Let m(s) = 12*k(s) - 41*n(s). Solve m(f) = 0.
-10, -2/11, 1
Determine a, given that -1/3*a**3 - 67/3*a**2 - 5239 + 2249/3*a = 0.
-93, 13
Factor 3/4*f**2 - 453/4 + 225/2*f.
3*(f - 1)*(f + 151)/4
Let -7*g**4 + 0 - 544/3*g**2 + 587/3*g**3 + 36*g = 0. Calculate g.
0, 2/7, 2/3, 27
Let d(g) be the first derivative of g**3/18 + 379*g**2/12 + 63*g + 1762. Factor d(f).
(f + 1)*(f + 378)/6
Suppose 88 = 3*v - 2*u, -u = 2*v - 16 - 45. Let j be -6 - ((-54)/v - 5). Find c such that j - 12/5*c - 4/5*c**3 + 12/5*c**2 = 0.
1
Let s(l) = 9*l - 11*l**2 - 6*l - 35 - 44*l. Let x be 14/(-4)*24/(-42). Let k(b) = 5*b**2 + 20*b + 17. Let v(w) = x*s(w) + 5*k(w). Factor v(z).
3*(z + 1)*(z + 5)
Let f = 412 - 437. Let p be 2 + (-105)/f + -6. Find z, given that 0 + 0*z + 0*z**2 - 1/5*z**3 + 2/5*z**5 - p*z**4 = 0.
-1/2, 0, 1
Solve -1/4*c**2 - 182*c - 33124 = 0 for c.
-364
Let l(g) = -g**3 + 2*g**2 + 8*g + 3. Let f be l(-2). Factor -z**3 - 3*z**4 - 349*z**2 - 3*z**5 + 364*z**2 + 10*z**f + 0*z**3 + 6*z.
-3*z*(z - 2)*(z + 1)**3
Factor -2*s**2 + s**2 + 3 - 17*s - 59*s - 33 - 45.
-(s + 1)*(s + 75)
Let j(i) be the second derivative of i**7/945 + 7*i**6/1080 - i**5/90 + i**4/6 - 19*i**2/2 + i + 10. Let b(m) be the third derivative of j(m). Factor b(f).
2*(f + 2)*(4*f - 1)/3
Let y(s) = 91*s + 90. Let g be y(5). Suppose 2 = 5*k - 5*u - 3, 29 = 5*k + 3*u. Determine x so that g + k*x**3 - 545 + 8*x**2 = 0.
-2, 0
Let a be (-10 + 9)*(-4)/2. Find j, given that -44*j + 16*j + 14*j**a - 60*j - 42*j + 36 = 0.
2/7, 9
Suppose -4*b = -6*b + 8. Solve -40*j**2 + b*j**4 - 3*j**4 + 7*j**4 + 2*j**4 - 5*j**5 + 20*j**3 = 0.
-2, 0, 2
Let d(t) = -t**3 - 23*t**2 + 24*t - 38. Let z be d(-23). Let g = -587 - z. Factor -8/9*k**4 + 2/9*k + 2/3*k**2 + 0*k**g + 0.
-2*k*(k - 1)*(2*k + 1)**2/9
Let s(k) be the second derivative of -k**6/15 - 1092*k**5/5 - 298116*k**4 - 217028448*k**3 - 88873149456*k**2 + 1487*k. Factor s(c).
-2*(c + 546)**4
Let q = 6512/3 - 13021/6. Suppose q*y**3 + 3/2*y**4 - 5/4*y**2 - 1/4 - 9/8*y + 5/8*y**5 = 0. What is y?
-1, -2/5, 1
Let f = 1724 - 1716. Let v(r) be the first derivative of -64/3*r - 4/3*r**3 - f*r**2 - 1/12*r**4 + 14. Factor v(w).
-(w + 4)**3/3
Let m(b) = -b**3 - 12*b**2 - 14*b - 27. Let d be m(-11). Suppose q - 3*x = -d*x - 3, 0 = -q + x + 1. Factor -24*h**3 + q + 6*h**2 - 4*h + h**4 + 1 + 20*h**3.
(h - 1)**4
Let q(l) = l**3 + 28*l**2 + 272*l + 422. Let p(a) = -10*a**3 - 281*a**2 - 2718*a - 4218. Let u(n) = -6*p(n) - 58*q(n). Factor u(o).
2*(o + 2)*(o + 13)*(o + 16)
Let v(c) be the third derivative of -c**7/3780 + c**6/360 + 27*c**4/8 - 2*c**2 - 2. Let s(k) be the second derivative of v(k). Factor s(w).
-2*w*(w - 3)/3
Let n be (108/(-8))/((-3)/(-8)). Let m = 61 + n. Let -4*p**2 + 6*p**2 + 3*p**2 + m*p = 0. What is p?
-5, 0
Suppose 3*p - 68 = -351*n + 355*n, 4*p - 5*n - 85 = 0. Factor -2/5*k**2 + 6/5*k + p.
-2*k*(k - 3)/5
Let v = -460217/4 + 115063. Let 25/4 + 11/4*r**2 - 1/4*r**3 - v*r = 0. What is r?
1, 5
Let m be 0 + 759/1840 + ((-17)/5 - -3). Let n(k) be the third derivative of 0*k - 9/4*k**3 - 3/16*k**4 + 0 - 8*k**2 + 1/8*k**5 - m*k**6. Factor n(r).
-3*(r - 3)**2*(r + 1)/2
Let w(x) = 86*x**2 + 862*x + 22. Let i be w(-10). Let y(b) be the first derivative of 7 + 5/3*b**3 - 30*b - 5/2*b**i. Suppose y(k) = 0. Calculate k.
-2, 3
Let k(x) be the third derivative of -x**6/70 - 1187*x**5/210 - 4884*x**4/7 + 3267*x**3/7 - 3524*x**2. Factor k(c).
-2*(c + 99)**2*(6*c - 1)/7
Let t(g) be the third derivative of 0*g - 2 + 1/24*g**4 + 187*g**2 - 11/6*g**3 + 11/60*g**5 - 1/120*g**6. Factor t(q).
-(q - 11)*(q - 1)*(q + 1)
Let s(t) be the second derivative of 1/50*t**5 + 22*t + 1 + 1/2*t**4 + 0*t**3 + 0*t**2. Factor s(m).
2*m**2*(m + 15)/5
Let k(v) be the first derivative of -4*v**3/3 - 1356*v**2 - 459684*v - 905. What is l in k(l) = 0?
-339
Let b(y) be the first derivative of -y**6/2 + 57*y**5/5 - 309*y**4/4 + 121*y**3 + 156*y**2 - 420*y + 2468. Suppose b(t) = 0. What is t?
-1, 1, 2, 7, 10
Find m such that 1/7*m**5 + 18/7*m**2 - 12/7*m**3 + 27/7*m - 2/7*m**4 + 0 = 0.
-3, -1, 0, 3
Let g(l) be the third derivative of 1/160*l**5 - 6 + 1/32*l**4 - 3/16*l**3 + 0*l + l**2. Find j such that g(j) = 0.
-3, 1
Let l(g) = -489*g**3 - 2447*g**2 - 8*g + 13. Let a be l(-5). Solve 16/7 + 2/7*f**2 + 20/7*f - 2/7*f**a = 0.
-2, -1, 4
Let d = -59 - -59. Suppose d = k - 0 - 2. Factor -4*g + 3*g**3 + 22*g - 5*g - 7*g + 6*g**4 - 15*g**k.
3*g*(g - 1)*(g + 2)*(2*g - 1)
Let f(m) = 12*m**3 + 930*m**2 + 18915*m + 73485. Let o(x) = 3*x**3 + 233*x**2 + 4729*x + 18371. Let b(i) = -4*f(i) + 15*o(i). Factor b(y).
-3*(y + 5)*(y + 35)**2
Let v(x) be the first derivative of -2*x**3/9 + 6356*x**2/3 - 20199368*x/3 - 4300. Find d such that v(d) = 0.
3178
Let w(y) be the third derivative of -y**6/240 + 11*y**5/30 - 161*y**4/12 + 784*y**3/3 - 20*y**2 + 4*y. Suppose w(a) = 0. What is a?
14, 16
Let v(h) be the third derivative of 0 + 0*h - 2/3*h**3 + 21*h**2 + 7/72*h**4 - 1/180*h**5. Factor v(q).
-(q - 4)*(q - 3)/3
What is j in 6*j**2 + 1/3*j**3 - 21*j + 0 = 0?
-21, 0, 3
Let -296/5*d + 288/5 - 2/5*d**3 + 16*d**2 = 0. Calculate d.
2, 36
Let f(r) be the first derivative of 5*r**3 - 3*r**2/2 - 168. Let y(k) = k + 0*k - 2*k. Let z(w) = -f(w) - 3*y(w). Solve z(a) = 0.
0, 2/5
Let w(v) be the second derivative of 5/6*v**3 - 5/3*v**4 + 3*v + 15*v**2 + 8 + 1/4*v**5. Let w(p) = 0. Calculate p.
-1, 2, 3
Factor -34445 - 65378*y**2 + 29745*y + 58337*y**2 + 39975*y + 840*y**3 - 5*y**4 - 29069*y**2.
-5*(y - 83)**2*(y - 1)**2
Let t(o) = -o**2 + 7*o - 1. Let v be t(6). Let -5*l**v + 20*l**4 + 40*l**3 - 215 - 280 - 70*l**2 + 545 - 35*l = 0. What is l?
-2, -1, 1, 5
Let i = -973 - -918. Let x be 96/20 + -3 - (-11)/i. Factor -6/5 - 2/5*r**2 + x*r.
-2*(r - 3)*(r - 1)/5
Let -2/7*c**4 - 1058/7 - 876/7*c**2 - 2024/7*c + 88/7*c**3 = 0. What is c?
-1, 23
Let i be -1*(-2)/(-6) + ((-16)/10 - 28320/(-7200)). Let 0*v - 1/4*v**5 + 1/2*v**4 + v**i + 7/4*v**3 + 0 = 0. What is v?
-1, 0, 4
Let m = -4763 + 4763. Let x(f) be the third derivative of 5/8*f**4 - 8*f**2 + m*f - 1/24*f**6 + 0 - 5/3*f**3 + 0*f**5. Determine o, given that x(o) = 0.
-2, 1
Let h(b) be the first derivative of -112/3*b**3 + 36/5*b**5 - 1/3*b**6 + 279*b**2 - 39*b**4 + 19 - 324*b. What is n in h(n) = 0?
-2, 1, 9
Suppose 4/7*x**5 - 1696/7*x**2 - 112 + 284*x - 80/7*x**4 + 568/7*x**3 = 0. What is x?
1, 4, 7
What is c in -4/5*c**2 - 147/5*c + 652/5 = 0?
-163/4, 4
Suppose 5*y + 3*h = 4, 157*y - 5*h - 20 = 160*y. Find w such that -4/9*w**2 + 2/9*w - 4/9*w**3 + 2/9 + 2/9*w**4 + 2/9*w**y