+ 18. Let u be m(-3). Let k be u*18/(-12)*8/198. Find f, given that k - 2/11*f**2 + 0*f = 0.
-1, 1
Let j(x) = 36*x**3 - 34*x**2 - 190*x. Let l be 2 - (-10)/(-3)*(-60)/50. Let z(r) = 5*r**3 - 5*r**2 - 27*r. Let h(n) = l*j(n) - 44*z(n). Factor h(m).
-4*m*(m - 6)*(m + 2)
Let l(z) = 516*z + 60. Let v be l(9). Factor -v*d**2 - 5062 - 43904*d + 5062 - 168*d**3 - 2*d**4.
-2*d*(d + 28)**3
Let y = -3461 - -3466. Let d(u) be the first derivative of -2/27*u**3 + 0*u + 1/18*u**4 + 2/45*u**y + 8 - 1/9*u**2. Solve d(b) = 0 for b.
-1, 0, 1
Let u be (488/(-432))/(0 + (-25)/11). Let n = u - -2/675. Factor -1/2*a**3 + 0 - n*a**4 + 1/2*a**2 + 1/2*a.
-a*(a - 1)*(a + 1)**2/2
Let j = 61 - 53. Suppose 0 = 3*i - 2*b + 3*b - j, 3*b + 3 = 0. Factor i*d**2 - 3435*d + 3435*d.
3*d**2
Let f(i) be the second derivative of i**4/30 - 2414*i**3/15 + 1456849*i**2/5 + 5512*i + 2. What is q in f(q) = 0?
1207
Factor 3*l**4 - 541*l**3 + 565*l**3 - 42*l**2 - 144*l + 12 + 12 - 105.
3*(l - 3)*(l + 1)**2*(l + 9)
Let t(q) be the first derivative of -q**6/9 + 103*q**5/30 + 23*q**4/4 - 38*q**3/9 - 67*q**2/6 - 9*q/2 + 527. Find l such that t(l) = 0.
-1, -1/4, 1, 27
Let s be (-10)/(40/6)*-4. Solve -i**3 - 22*i - 2*i**2 + 49*i + s - 22*i = 0 for i.
-3, -1, 2
Let l(r) be the first derivative of -r**4/102 - 2*r**3/51 + 8*r**2/17 - 44*r + 64. Let c(q) be the first derivative of l(q). Let c(a) = 0. Calculate a.
-4, 2
Let j(f) be the third derivative of -f**6/60 - 9*f**5 - 5891*f**4/4 + 75076*f**3/3 - f**2 - 1193*f. Suppose j(g) = 0. Calculate g.
-137, 4
Let c(i) be the second derivative of i**6/85 - 41*i**5/170 - 59*i**4/102 - 5*i**3/17 + 7335*i. What is g in c(g) = 0?
-1, -1/3, 0, 15
Let b = -7029/2 + 3515. Let g(o) be the third derivative of -9/40*o**6 - 12*o**2 + 0*o + b*o**4 - 1/10*o**7 + 0*o**3 + 3/5*o**5 + 0. What is p in g(p) = 0?
-2, -2/7, 0, 1
Let k(z) = -19*z**3 - 266*z**2 - 442*z - 7. Let q(f) = -6*f**3 - 88*f**2 - 148*f - 2. Let d(w) = 2*k(w) - 7*q(w). What is h in d(h) = 0?
-19, -2, 0
Let g be (42 - 46)/(-3 - -1). Let l(i) be the first derivative of -28 - 4*i**3 - 12*i**g - 1/2*i**4 - 16*i. Suppose l(f) = 0. What is f?
-2
Let p(z) be the first derivative of z**6/900 - 3*z**5/100 - z**4/6 - 4*z**3/3 - 2*z + 284. Let f(a) be the third derivative of p(a). Factor f(y).
2*(y - 10)*(y + 1)/5
Let n be 1152/(-7296) + (-195)/(-152). Factor 0*r - 3/8*r**4 + 3/2*r**3 + 0 - n*r**2.
-3*r**2*(r - 3)*(r - 1)/8
Suppose -30*r + 1644 = 381*r. Let 92/7*x**2 - 36/7*x**3 + 0 + 4/7*x**r - 60/7*x = 0. What is x?
0, 1, 3, 5
Let m be (330/(-24))/(-5) - ((-115)/(-20) + -6). Let v(k) = -k**3 - 2*k**2 - 3*k - 3. Let o be v(-2). Factor -3*t**2 + 2*t - 3*t**m + 4*t + 9*t**3 - 9*t**o.
-3*t*(t - 1)*(t + 2)
Suppose 0 = 2*b - 5*l + 33, 29*b + 11 = 30*b + 3*l. Let f be (468/(-52))/(42/b). Solve -6/7*x**3 - 6/7*x**4 + 6/7*x + 0 + f*x**2 = 0 for x.
-1, 0, 1
Let i(f) be the second derivative of 22 - 167/70*f**5 - 76/7*f**3 + 2*f - 1/5*f**6 - 40/7*f**2 - 59/7*f**4. Find y such that i(y) = 0.
-5, -2, -2/3, -2/7
Let n(u) = 6*u**3 + 19*u**2 + 136*u + 219. Let s(t) = -t**3 - 4*t + 1. Let b(l) = n(l) + 5*s(l). Let b(k) = 0. Calculate k.
-8, -7, -4
Let c be 39*10/(-30) - -22. Let x(y) be the second derivative of 3/20*y**5 + 0 + y**4 - 32*y - 11/2*y**3 + c*y**2. Let x(m) = 0. What is m?
-6, 1
Determine u, given that -u + 0*u**2 + 6/7 + 1/7*u**3 = 0.
-3, 1, 2
Let d = 673087 - 198560272/295. Let n = d + 1/885. Factor -10/3*a + 2/3*a**4 + 2/3*a**3 - 2*a**2 - n.
2*(a - 2)*(a + 1)**3/3
Let c be 10/(4 - 3)*(51/60 + (-113)/452). Find k, given that -1/3*k**5 - c*k + 7/3*k**3 - 5*k**2 + k**4 + 0 = 0.
-2, -1, 0, 3
Let w be (-4 - -7)/((-3)/(-9)) + -4. Determine v, given that 0*v + 50*v**3 - 20*v**4 + 0*v - 12*v**w + 14*v**5 = 0.
0, 5
Let m be 25/(-20)*(-420)/175. Let h(p) be the second derivative of 0 - 5/2*p**2 + 0*p**m + 6*p + 5/12*p**4. Let h(u) = 0. What is u?
-1, 1
Let z(k) be the second derivative of -5041*k**7/42 + 1633*k**6/5 + 141*k**5/5 + 2*k**4/3 - 544*k. Solve z(d) = 0 for d.
-2/71, 0, 2
Let o(j) be the third derivative of 7*j**6/360 - 97*j**5/90 + 973*j**4/72 + 49*j**3/3 - 1340*j**2. Determine f so that o(f) = 0.
-2/7, 7, 21
Let f be 2216/(-14235) + 122/793. Let b = f + 4418/20805. Solve 6/19*z**3 + 0 + 0*z - 2/19*z**4 - b*z**2 = 0 for z.
0, 1, 2
Let y(s) be the third derivative of -s**6/360 + s**5/90 + s**4/24 - 1569*s**2. What is m in y(m) = 0?
-1, 0, 3
Factor -78 + 161*j**2 - 6 - 158*j**2 - 40*j + j**3.
(j - 6)*(j + 2)*(j + 7)
Let h = 257993 + -257991. Suppose -4/5*k**3 + 2/5*k**4 - 2/5*k**h + 4/5*k + 0 = 0. What is k?
-1, 0, 1, 2
Suppose 0 = 183*c - 235*c + 156. Suppose 16/9 + 10/9*g**5 - 68/9*g**2 + 106/9*g**c - 8/9*g - 56/9*g**4 = 0. What is g?
-2/5, 1, 2
Suppose -70/3*u - 248/3 - 2/3*u**2 = 0. What is u?
-31, -4
Factor 44/3*c + 2/3*c**2 + 78.
2*(c + 9)*(c + 13)/3
Determine x, given that 239/2 - 1/2*x**3 - 239/2*x**2 + 1/2*x = 0.
-239, -1, 1
Let m be (42/8 + -30 + 26)/(225/360). Find p such that -3/2*p**3 - 6*p**m + 15 + 21/2*p = 0.
-5, -1, 2
Let i(x) be the first derivative of 5 + 1/11*x**4 + 0*x + 0*x**2 - 2/55*x**5 + 0*x**3 - 1/33*x**6. Suppose i(m) = 0. Calculate m.
-2, 0, 1
Let u(j) be the third derivative of -j**5/120 - 11*j**4/24 - 121*j**3/12 + 2267*j**2. Find a, given that u(a) = 0.
-11
Let z(l) = -10*l - 56. Let j be z(-6). Let k be 3*(2 - 1) - ((-40)/(-18))/20. Factor -k*y - 8/9 - 2/9*y**j - 10/3*y**2 - 14/9*y**3.
-2*(y + 1)**3*(y + 4)/9
Let x(r) = -13*r**3 - 116*r**2 + 539*r - 546. Let i(l) = -3*l**3 - 29*l**2 + 134*l - 136. Let v(q) = 18*i(q) - 4*x(q). Factor v(j).
-2*(j - 2)**2*(j + 33)
Suppose -99 = -7*c - 2*c. Let w(f) = f - 5. Let k be w(c). Solve 7*x - 2*x**4 - k*x**4 - 19*x - 12*x**2 + 2*x**4 + 21*x**3 = 0 for x.
-1/2, 0, 2
Let h(c) be the first derivative of c**4/3 + 164*c**3/3 + 3362*c**2 - 153*c - 113. Let k(g) be the first derivative of h(g). Let k(f) = 0. Calculate f.
-41
Let m = 1339 - 8033/6. Let j(n) be the third derivative of -m*n**4 + 29*n**2 - n**3 + 1/30*n**5 + 0*n + 0. Find y such that j(y) = 0.
-1, 3
Let h(c) = c**2 + 4*c - 94. Let v be h(-12). Factor 7026 + 2352*t**2 + 69806 - 21952*t - 92*t**3 + v*t**4 - 20*t**3.
2*(t - 14)**4
Let x = 152524 + -152443. Factor -375/8*n**3 + x + 675/4*n**2 - 405/2*n.
-3*(5*n - 6)**3/8
Let d = 177 - 159. Solve -8 + 6*k**4 - 2*k + 108*k**2 - 124*k**3 + 0*k - d*k + 38*k**4 = 0.
-2/11, 1
Let x = -119708 + 598554/5. Determine s, given that 42/5 - 104/5*s + x*s**2 = 0.
3/7, 7
Let v = -513577/2 + 256795. Factor 88*t + 145/2*t**2 + 1/2*t**5 + 32 + 19/2*t**3 - v*t**4.
(t - 8)**2*(t + 1)**3/2
Let x(j) = 6*j**3 - 82*j**2 + 880*j + 3452. Let n(m) = -7*m**3 + 80*m**2 - 884*m - 3451. Let d(f) = 4*n(f) + 5*x(f). What is y in d(y) = 0?
-3, 24
Factor 9 - 8 - 25*n - n**2 - 114 - 12 + 11.
-(n + 6)*(n + 19)
Let w = -1567285/7 + 223358. Let p = w - -541. Factor 10/7 - 2/7*l**2 + p*l.
-2*(l - 5)*(l + 1)/7
Factor -2/17*q**3 - 280/17*q + 44/17*q**2 + 400/17.
-2*(q - 10)**2*(q - 2)/17
Let u(c) be the second derivative of 0*c**4 - 1/80*c**5 + 0*c**2 + 8/3*c**3 - 13*c + 1/480*c**6 + 0. Let a(b) be the second derivative of u(b). Factor a(n).
3*n*(n - 2)/4
Let f = -34 + 44. Let o be ((-100)/(-15))/f*(-9)/(-2). Let -118*s**o + 120*s**3 + s**2 - 3*s**2 = 0. What is s?
0, 1
Suppose -4*b = -5*v + 89, 21*v = -b - 4*b + 25. Let j be (6/9)/((-4)/(-9)). Factor -45*g**4 - 3240*g**2 - 540*g**3 - j*g**v - 9720*g - 11664.
-3*(g + 6)**5/2
Suppose -3*a = -6*a - p + 5, 5*a - 5*p = 15. Suppose a*r = -4*r + 12. Factor 5 + 226*g - 232*g + r*g**2 - 1.
2*(g - 2)*(g - 1)
Suppose -4*u + 3*a + 25 - 3 = 0, 4*a - 22 = -2*u. Suppose u*b = -396 + 410. Suppose 3/2*r - 3/2*r**b + 3 = 0. Calculate r.
-1, 2
Let n be 5*-1 - 2*(-28041)/52. Let c = 1074 - n. Factor -1 - c*p**3 + 1/2*p - 1/2*p**4 + 3/2*p**2.
-(p - 1)**2*(p + 1)*(p + 2)/2
Let f(u) be the second derivative of -14/9*u**4 + 2/45*u**6 + 10*u - 1/15*u**5 - 2 + 16/3*u**3 + 0*u**2. Factor f(c).
4*c*(c - 3)*(c - 2)*(c + 4)/3
Let t be 4/(-10)*(2 + 23106/(-12)). Let b = -767 + t. Solve 6/5 - p**3 + 11/5*p - b*p**2 = 0 for p.
-3, -2/5, 1
Factor -3918/5 + 260*i + 2/5*i**2.
2*(i - 3)*(i + 653)/5
Let g be ((-6)/(-5))/(42/70). Suppose -v = g*v - 3. Determine d, given that 7 - 10*d**3 - 14*d**2 + v - 2 + 2*d = 0.
-1, 3/5
Let s(q) be the second derivative of 291*