or l(m).
m*(m + 18)**4/4
Let o(y) be the second derivative of y**4/36 - 23*y**3/36 - 35*y**2/6 + 342*y - 1. Let o(q) = 0. Calculate q.
-5/2, 14
Let x(g) = -44*g**2 + 834*g + 38. Let u be x(19). Factor u + 14/23*a**2 + 2/23*a**3 + 0*a.
2*a**2*(a + 7)/23
Let o be 1/2 + -295*(-42)/(-48). Let s = 258 + o. What is t in s*t**4 + 3/2*t - 3/2*t**2 + 0 - 3/8*t**3 = 0?
-2, 0, 1, 2
Let b(a) = -a**2 + 36*a - 83. Let g(c) be the third derivative of 35*c**4/24 - 85*c**3/6 + 60*c**2. Let l(k) = -5*b(k) + 4*g(k). Factor l(p).
5*(p - 5)*(p - 3)
What is s in -972 - 128*s**3 - 163*s**3 + 216*s + 9*s**2 + 288*s**3 = 0?
-9, 6
What is l in 62*l**2 - 252*l + 29*l**3 - 17865 + 3*l**4 + 17217 + 34*l**3 + 88*l**2 = 0?
-18, -3, -2, 2
Let k(l) be the first derivative of l**6/36 + 4*l**5/3 + 45*l**4/2 + 1235*l**3/9 - 845*l**2/12 - 2197*l - 4433. What is y in k(y) = 0?
-13, -3, 2
Let b(a) = -16*a**3 + 240*a**2 - 1604*a - 30. Let o(i) = 5*i**3 - 79*i**2 + 534*i + 9. Let z(x) = 3*b(x) + 10*o(x). Factor z(y).
2*y*(y - 24)*(y - 11)
Factor 273/4*h - 87 - 105/8*h**2 + 3/8*h**3.
3*(h - 29)*(h - 4)*(h - 2)/8
Suppose 0 = 120*w + 257*w. Let x(v) be the third derivative of 0*v - 30*v**2 + 2/9*v**4 + 1/30*v**6 + 0*v**3 + w - 2/9*v**5 + 1/35*v**7. What is c in x(c) = 0?
-2, 0, 2/3
Let w be (-576)/(-15) - (-10)/(-25). Let q be w/(-95) - 17/(-30). Factor -1/6*u**3 - q*u**2 + 0 + 1/6*u**5 + 0*u + 1/6*u**4.
u**2*(u - 1)*(u + 1)**2/6
Suppose -f = -5*z - 13, 809*f - 810*f = 3*z + 3. Factor 4/3*v**2 + 2/3 - 4/3*v**f - 2*v**4 - 2/3*v**5 + 2*v.
-2*(v - 1)*(v + 1)**4/3
Let z(m) = -3*m**2 + 10*m + 8. Let k(j) be the first derivative of 24*j - 8/3*j**3 + 15*j**2 + 18. Let v(r) = 5*k(r) - 14*z(r). Find b such that v(b) = 0.
-4, -1
Let i be ((-17750)/(-28400))/((-3)/(-6)). Suppose 3*h + 2*o - 16 = 0, 3*o - o = -5*h + 20. Suppose -1/4*p**4 + 1/2 + 3/4*p**h + 1/4*p**3 - i*p = 0. Calculate p.
-2, 1
Let m(x) = x**2 - 2. Let q(v) = -2*v**3 - 42*v**2 + 662*v - 322. Let y(h) = -2*m(h) + 2*q(h). Factor y(z).
-2*(z - 10)*(z + 32)*(2*z - 1)
Let u(s) be the first derivative of -31/18*s**2 - s**3 - 4/3*s - 1/4*s**4 - 190 - 1/45*s**5. Factor u(m).
-(m + 1)**2*(m + 3)*(m + 4)/9
Let g(u) be the second derivative of -u**6/135 - u**5/90 + 5*u**4/9 - 76*u**3/27 + 56*u**2/9 + 451*u + 5. Factor g(p).
-2*(p - 2)**3*(p + 7)/9
Let f(r) be the third derivative of -r**5/100 - 39*r**4/40 + 4*r**3 + 8*r**2 + 61. Factor f(o).
-3*(o - 1)*(o + 40)/5
Solve 8100 - 836*q**3 - 27180*q - 1200*q**2 + 24*q**4 + 9826*q**2 + 290*q**2 = 0.
1/3, 9/2, 15
Let b(p) be the second derivative of p**7/420 + 4*p**6/15 - 81*p**5/200 + 1382*p. Factor b(o).
o**3*(o - 1)*(o + 81)/10
Let b(t) = 7*t - 36. Let d(m) = m + 1. Let o(s) = -2*b(s) + 2*d(s). Let h be o(6). Let -1/5*f**3 - 4/5 - f**h - 8/5*f = 0. What is f?
-2, -1
Suppose 5*b = 5*t + 2830, 16 + 1108 = 2*b + 2*t. Suppose c = -2*f + 195, 3*c + 4 - b = -f. Find m, given that 153*m**3 + 349*m**2 - 453*m**2 + c*m**3 + 8*m = 0.
0, 2/13
Let b be (1/(-4))/((-19)/95). Let c be ((-99)/(-6))/(-3) + 7. Factor -b - 1/4*n**2 - c*n.
-(n + 1)*(n + 5)/4
Let z(j) be the second derivative of 9 - 102/7*j**2 - 5/2*j**4 - 10*j + 137/14*j**3 + 3/140*j**5. Solve z(s) = 0.
1, 68
Solve -22 - 26 + 10 - 14*a**2 - 2*a + 5*a**2 + 45*a**2 = 0 for a.
-1, 19/18
Let h(c) be the second derivative of c**6/10 + 27*c**5/10 + 19*c**4 - 9*c**3 - 231*c**2/2 - 204*c. Find n such that h(n) = 0.
-11, -7, -1, 1
Let -1710 + 14*f - 114*f**2 + 5*f**3 - 485*f - 8*f**3 - 4338 - 969*f = 0. What is f?
-14, -12
Let h(i) be the second derivative of 5/42*i**4 + 13/70*i**5 + 0*i**2 - 1 - 1/21*i**3 + 67*i + 1/15*i**6. Factor h(b).
2*b*(b + 1)**2*(7*b - 1)/7
Let d(c) be the third derivative of -3*c**6/80 - c**5/24 + c**4/18 - 519*c**2 - 1. Find h, given that d(h) = 0.
-8/9, 0, 1/3
Suppose 8*q - 4681 + 4649 = 0. Suppose -6 = -5*g + 4*w, q*g + 3*w = -21 + 32. Suppose 2/23*t**3 + 0 + 8/23*t**g + 6/23*t = 0. What is t?
-3, -1, 0
Let l(x) = 10*x**3 + 140*x**2 - 550*x. Let r = 83 - 78. Let f(y) = 5*y**3 + 71*y**2 - 274*y. Let g(h) = r*f(h) - 2*l(h). Determine c, given that g(c) = 0.
-18, 0, 3
Let l be (-116)/58*(13 - 18)*(-8)/(-50). Determine k so that 2/5*k**2 + 2/5*k**3 - 8/5*k - l = 0.
-2, -1, 2
Let c be 8/((-640)/(-225))*(24/(-372) - 216/(-465)). Let v = 4/3 + -29/24. Let 3/4*m**4 + v*m**5 + 2*m**2 + 1/4 + 7/4*m**3 + c*m = 0. What is m?
-2, -1
Let c(v) = v**2 + 1708*v + 42078. Let b be c(-25). Let 27/2 + 45/4*j - 3*j**2 - 3/4*j**b = 0. Calculate j.
-6, -1, 3
Let j(h) be the second derivative of 13*h**5/40 - 89*h**4/24 + 16*h**3/3 + 3*h**2 - 381*h. Factor j(r).
(r - 6)*(r - 1)*(13*r + 2)/2
Let m = -60940 - -60943. Factor -2/3*o - 22/3 + 2/3*o**m + 22/3*o**2.
2*(o - 1)*(o + 1)*(o + 11)/3
Let y(u) be the second derivative of -24*u**4 - 136*u**3 - 289*u**2 + 832*u. What is h in y(h) = 0?
-17/12
Let l(f) be the first derivative of f**6/260 + f**5/78 - 11*f**4/156 + f**3/13 - 3*f**2/2 + 6*f - 1. Let h(g) be the second derivative of l(g). Factor h(t).
2*(t - 1)*(t + 3)*(3*t - 1)/13
Let q be -2 + 3 - 2/(-7). Suppose -1341*b + 3003*b - 1177*b = 1568*b - 4332. Find j such that q*j - 18/7*j**3 - 6/7*j**b + 12/7*j**2 + 9/7*j**5 - 6/7 = 0.
-1, 2/3, 1
Suppose 0 = 5*x - 3*r + 15 - 43, -3*x + 20 = -5*r. Suppose 0 = -4*p + 5*y + 18, -p - 8 = x*y. Factor 6*n**2 - 4*n**3 - p*n + 6*n - 2*n**4 - 4*n**2.
-2*n*(n - 1)*(n + 1)*(n + 2)
Let l be (-9 - -4)*(-16)/130. Let y be ((-550)/44 - -1*2)*(-296)/3367. Solve l*h**2 + 2/13*h**3 + 2/13*h - y = 0 for h.
-3, -2, 1
Let f(n) be the second derivative of 40*n - 1/4*n**5 + 5 - 16000*n**3 + 100*n**4 + 1280000*n**2. Factor f(b).
-5*(b - 80)**3
Let l(k) = 2*k - 116. Let o be l(58). Let m(a) be the second derivative of -1/65*a**5 - 5*a + 0*a**2 + 0*a**3 - 1/195*a**6 + 1/26*a**4 + o. Factor m(h).
-2*h**2*(h - 1)*(h + 3)/13
Let r be ((-297)/75)/((-4)/((-2640)/(-18))). Let l be (1624/(-15))/(-8) + (-2)/6. Factor -2662/5 + r*x + 2/5*x**3 - l*x**2.
2*(x - 11)**3/5
What is u in -5289*u**2 - 80*u**5 + 517*u**2 - 4223*u**2 - 2360*u**4 - 596*u**2 - 1170 - 5505*u - 109*u**2 - 7645*u**3 = 0?
-26, -1, -3/4
Let s be (1/((-24)/658))/((-5894)/6736). Suppose 98/3*l**2 + 28/3 + 26/3*l**3 - 2*l**4 + s*l = 0. Calculate l.
-1, -2/3, 7
Let d(v) be the second derivative of v**4/42 - 2*v**3 + 80*v**2/7 + 11472*v. Factor d(z).
2*(z - 40)*(z - 2)/7
Let l(w) = w**2 + 7*w + 5. Let y be l(-7). Suppose 2*d + 67 = 6*n - 47, -2*n = -d - 42. Suppose -y*r**2 - 5/2*r**3 + 25/2*r + n = 0. What is r?
-3, -1, 2
Let v = -481 - -486. Let b(k) be the second derivative of -27/2*k**4 - 6*k**3 - 4/3*k**2 + 0 - 243/20*k**v - 3*k. Factor b(l).
-(9*l + 2)**3/3
Let t be 62 + -14 - (0 + 2 + 2). Let h be ((-110)/t)/((-105)/12). Find m, given that 10/7*m**2 + h*m**3 + 6/7*m - 2/7*m**4 + 0 = 0.
-1, 0, 3
Let g = 209877679/46931017 + 1/291497. Let w = 16/161 + g. What is j in 2/7*j**3 + 2*j**2 - w + 16/7*j = 0?
-4, 1
Suppose 3*l - 5*i - 6 = 0, -10*l + 6*l = 3*i - 8. Factor 4/3*u**l + 14/9*u - 2/9*u**3 + 0.
-2*u*(u - 7)*(u + 1)/9
Let n(g) = -4*g**3 - 5*g**2 - g + 5. Let r(l) = -4*l**3 - 4*l**2 + 4. Suppose -8*p = -15 - 25. Let c(w) = p*r(w) - 4*n(w). Factor c(d).
-4*d*(d - 1)*(d + 1)
Suppose -4*p + 13*p - 270 = 0. Suppose 0 = -34*r + p*r. Suppose 2/11*j**5 + 0*j**2 + 0 - 4/11*j**3 + r*j**4 + 2/11*j = 0. What is j?
-1, 0, 1
Suppose -3*i + 142 = -2*r - 2*r, 2*i = -3*r + 123. Suppose 3*z - 5*y = -2*y + 159, 3*y = -5*z + 297. Factor 9*n**4 + 2*n**3 - i*n - 9*n**2 + z*n - 5*n**3.
3*n*(n - 1)*(n + 1)*(3*n - 1)
Let x(z) = -3*z - 11. Let h be x(-5). Suppose -3*s + k = -7, -6 = -h*s + 5*k - 3*k. Factor 10*t**3 - 3*t**s + 8*t**2 + 5*t**4 - 3*t**2 + 3*t**4.
5*t**2*(t + 1)**2
Let d be (16/(-10))/(144/(-180)). Factor -12*p**3 - 18*p - 14*p**d + 2*p**4 + 10*p**3 - 12 + 44*p.
2*(p - 2)*(p - 1)**2*(p + 3)
Let d(q) = q**2 - q - 9. Let x be d(4). Factor -17 + 17 - 5*r + 2*r - x*r**2.
-3*r*(r + 1)
Let z(y) be the first derivative of -5*y**3/3 + 90*y**2 + 585*y + 429. Factor z(p).
-5*(p - 39)*(p + 3)
Let t(u) be the third derivative of -346*u**2 + 22/51*u**3 + 65/204*u**4 - 1/1785*u**7 + 21/170*u**5 + 0 + 0*u + 19/1020*u**6. Factor t(s).
-2*(s - 22)*(s + 1)**3/17
Let c(d) be the first derivative of 8*d**6/3 - 2*d**5/5 - 44*d**4 + 310*d**3/3 - 82*d**2 + 16*d - 1478. Suppose c(n) = 0. What is n?
-4, 1/8, 1,