What is j?
-2/5, 2404
Factor -129/2 - 64*n + 1/2*n**2.
(n - 129)*(n + 1)/2
Let y(f) be the first derivative of f**4/2 + 196*f**3/3 - 199*f**2 + 200*f + 1158. Factor y(u).
2*(u - 1)**2*(u + 100)
Let o be (-10)/15*1 - (23/(-4) - -5). Let r(u) be the third derivative of -o*u**5 - 5/3*u**3 - 15*u**2 + 0*u - 5/8*u**4 + 0. Factor r(c).
-5*(c + 1)*(c + 2)
Let m be 6*(-4)/6*-1. Factor -34*n**2 + 38*n**2 + 2*n + 13*n - 7*n - m*n**3.
-4*n*(n - 2)*(n + 1)
Let n(v) = -3385*v**2 + 9465*v + 12955. Let r(g) = -199*g**2 + 557*g + 762. Let h(m) = 2*n(m) - 35*r(m). Let h(k) = 0. Calculate k.
-1, 152/39
Let t(b) be the third derivative of -b**5/30 - 157*b**4/12 - 52*b**3 - 2*b**2 - 62. Factor t(h).
-2*(h + 1)*(h + 156)
Let x(l) be the third derivative of -l**8/30240 + l**7/540 - 13*l**6/1080 - 6*l**5/5 + 2*l**2 + 3*l. Let q(c) be the third derivative of x(c). Factor q(h).
-2*(h - 13)*(h - 1)/3
Let q(h) = 57*h - 1482. Let r be q(26). Let b(c) be the second derivative of 10*c + 1/78*c**4 - 2/39*c**3 + r + 0*c**2. Solve b(o) = 0.
0, 2
Factor 2970/7 - 243/7*h + 3/7*h**2.
3*(h - 66)*(h - 15)/7
Let v(w) be the second derivative of -w**7/399 - 3*w**6/95 + 2*w**5/19 + 18*w**4/19 + 80*w**3/57 - 2316*w. Let v(c) = 0. Calculate c.
-10, -2, -1, 0, 4
Let f(w) be the second derivative of w**5/170 - 248*w**4/17 + 246016*w**3/17 - 122023936*w**2/17 - 88*w - 8. Solve f(t) = 0 for t.
496
Let z be (-1974)/11130 + (0 - (-2)/10). Let m = 5848/795 - z. What is t in 74*t + m*t**3 + 136/3*t**2 + 12 = 0?
-3, -2/11
Let z(f) = -5*f + 10. Let b(s) = 2*s - 5. Let d(m) = 7*b(m) + 3*z(m). Let a be d(-7). Suppose -26*u - 6*u**a - u**2 + 29*u = 0. What is u?
0, 3/7
Let f(o) be the third derivative of -1/840*o**8 + 0 + 0*o**3 + 1/5*o**4 - 4/525*o**7 + 0*o + 8/75*o**5 + 27*o**2 + 1/300*o**6. Suppose f(c) = 0. Calculate c.
-3, -2, -1, 0, 2
Let l(f) = -f**3 - 17*f - 86. Let i be l(0). Let g = -84 - i. Suppose -2 - 2/3*r**g - 8/3*r = 0. Calculate r.
-3, -1
Let f(i) = 155*i**2 + 701*i - 368. Let z be f(-5). Let k(m) = m**2 + 4*m - 1. Let n be k(-5). Solve 2/5*w**3 + 2/5*w**n - 2*w - 4/5 - 6/5*w**z = 0.
-1, 2
Let y(w) be the second derivative of -3*w**5/80 + 9*w**4/16 - 3*w**3/4 - 21*w**2 - w - 199. Factor y(o).
-3*(o - 7)*(o - 4)*(o + 2)/4
Suppose 0 = -3412*l - 396*l + 2751 + 16289. Let 14/9*k**3 - 2/9*k**2 + 1/9*k**l - 5/3*k - 7/9 + k**4 = 0. Calculate k.
-7, -1, 1
Let o(v) = 11*v**3 + 29*v**2. Let z(a) = 8*a**3 + 28*a**2. Let y(g) = 4*o(g) - 5*z(g). Find n, given that y(n) = 0.
0, 6
Let q(z) be the second derivative of -z**8/23520 + z**7/2940 - z**6/1260 - 8*z**4/3 + 5*z - 6. Let i(t) be the third derivative of q(t). Factor i(k).
-2*k*(k - 2)*(k - 1)/7
Suppose 653*k - 1180 = 63*k. Factor -30 + 2/3*w**k - 8/3*w.
2*(w - 9)*(w + 5)/3
Let k(g) be the second derivative of 39*g**5/40 - 85*g**4/2 - 169*g**3 + 84*g**2 - 373*g - 1. Solve k(q) = 0 for q.
-2, 2/13, 28
Let u be 3 + (-3 - -7) + (-16 - -11). Factor -l - 4/7*l**u - 2/7 + 4/7*l**3.
(l - 2)*(2*l + 1)**2/7
Let r = -127 + 132. Suppose 0 = -r*t + 3*t. Factor 2/7*m**2 + 0*m + t - 1/7*m**3.
-m**2*(m - 2)/7
Suppose -1710 = 20*r - 6830. Solve 45*q + 38*q - 132*q - r - 4*q**3 - 143*q - 48*q**2 = 0.
-4
Let f(y) be the third derivative of -y**8/131040 + y**6/130 + 67*y**5/30 - 24*y**2. Let x(r) be the third derivative of f(r). Find a, given that x(a) = 0.
-6, 6
Let q(g) = -18*g**3 + 15*g - 15. Let c(o) = o**3 - o**2 - o + 1. Let v be (-4 + (-9 - 1)/(-2))*-15. Let f(y) = v*c(y) - q(y). Factor f(a).
3*a**2*(a + 5)
Let l(q) = 9*q**2 + 216*q + 26. Let f be l(-22). Let d be (-14)/8 + f/(-185). Factor -1/2*t**4 + 0*t + 0 + 3/4*t**3 - d*t**2.
-t**2*(t - 1)*(2*t - 1)/4
Let z(s) be the third derivative of -s**5/90 - 53*s**4/36 + 56*s**3/3 + 4*s**2 - 96*s. Factor z(g).
-2*(g - 3)*(g + 56)/3
Let g = 3 + -1. Let v be (111*(-8)/42)/((-12)/42). Factor 0 + 75*p - g - v*p - p**3 - 2 + 4*p**2.
-(p - 4)*(p - 1)*(p + 1)
Let q(f) be the third derivative of -11/56*f**4 + 31*f - 2*f**2 + 0 - 9/7*f**3 - 1/140*f**5. Factor q(r).
-3*(r + 2)*(r + 9)/7
Let f(x) = -2*x**2 + 5*x + 4. Let y(o) = -10*o**2 + 26*o + 20. Let m = -101 + 117. Let l(p) = m*f(p) - 3*y(p). Let l(q) = 0. What is q?
-1, 2
What is v in -555458*v + 585452732/3 - 1/6*v**3 + 527*v**2 = 0?
1054
Let b be ((-51)/(-3672))/((-3)/(-6)). Let o(c) be the first derivative of -1/9*c - b*c**4 - 1/6*c**2 - 17 - 1/9*c**3. Factor o(x).
-(x + 1)**3/9
Let z be (-2 - 2)*(-15)/(-60). Let c be z/2 - 2107/(-294). Factor 2/3*s**2 + c*s + 50/3.
2*(s + 5)**2/3
Suppose 0 = 3*s - 4*x - 29, 5*s = -0*x - 3*x. Let f(h) be the first derivative of -5 + 0*h**4 - 4/3*h**s - 1/3*h**6 + 0*h + 4/5*h**5 + h**2. Solve f(l) = 0.
-1, 0, 1
Let x be 6/((-3)/(-2400)*12). Factor 770 - x - 12*u**2 + 3*u**3 - 33*u - 388.
3*(u - 6)*(u + 1)**2
Suppose -d - 2*h + 11 + 2 = 0, -4*d + 36 = 4*h. Solve 51 - d - 5*k**2 + 28*k + 12*k - 1 = 0.
-1, 9
Let u(a) be the first derivative of 9*a**5/25 + 3*a**4/10 - 37*a**3/5 + 18*a**2/5 - 1602. Suppose u(i) = 0. Calculate i.
-4, 0, 1/3, 3
Let x(r) be the first derivative of -5*r**4/18 + 56*r**3/9 + 116*r**2/9 - 32*r - 1299. Solve x(c) = 0 for c.
-2, 4/5, 18
Solve 25 - 152*u - u**3 + 194 + 23*u**2 + 4 - 3 = 0.
2, 10, 11
Let g(z) be the first derivative of z**3/24 - 3*z**2/2 + 11*z/2 + 936. Factor g(b).
(b - 22)*(b - 2)/8
Let q(g) = 7*g**3 + 72*g**2 + 72*g + 216. Let t(d) = d**3 + 12*d**2 + 14*d + 36. Let y(n) = 6*q(n) - 38*t(n). Factor y(a).
4*(a - 9)*(a + 1)*(a + 2)
Let x = 74001 - 73999. Determine a so that 3*a**3 + 1/2*a + 2*a**2 + 0 + x*a**4 + 1/2*a**5 = 0.
-1, 0
Let c(j) be the second derivative of -54*j**2 - 13/4*j**4 - 20*j**3 + 216*j - 3/20*j**5 + 0. Solve c(r) = 0 for r.
-9, -2
Let u = 13763/17860 + -92/4465. Find y such that -39/8*y - u*y**2 + 3/8*y**3 - 15/4 = 0.
-2, -1, 5
Let z(t) = -15*t**3 + 190*t**2 - 705*t - 2440. Let f(p) = 5*p**3 - 65*p**2 + 234*p + 813. Let m(x) = 10*f(x) + 3*z(x). Find h, given that m(h) = 0.
-2, 9
Let h(r) be the second derivative of r**7/5040 - r**6/288 + r**5/60 + r**4/4 + r**3/2 + 160*r. Let w(d) be the third derivative of h(d). Factor w(m).
(m - 4)*(m - 1)/2
Suppose 0 = 2*a + x - 15, -5*a - 4*x + 28 = -8. Suppose 0 + 12 - 16*c**3 + a - 65*c**2 - 9*c**3 - 20*c = 0. What is c?
-2, -1, 2/5
Solve 1464*p**4 + 123*p**2 + 3750*p**3 + 5285*p**2 - 23094*p**3 - 28*p**5 = 0.
0, 2/7, 26
Let m(a) be the third derivative of a**7/42 - 17*a**6/12 + 65*a**5/12 - 20*a**4/3 - 45*a**2 - 23*a. Solve m(r) = 0 for r.
0, 1, 32
Let v(g) be the second derivative of 0*g**4 - 1/100*g**5 + 0*g**3 - 2*g + 9 + 0*g**2 - 2/75*g**6. Factor v(i).
-i**3*(4*i + 1)/5
Let o(q) = -q**2 - 8*q - 10. Let i(m) = m - 21. Let u be i(15). Let f be o(u). Factor 40*p - 6 - 48*p - 2*p**2 + 0*p**f.
-2*(p + 1)*(p + 3)
Find m, given that 237/4*m**2 + 63 - 156*m + 3/2*m**3 = 0.
-42, 1/2, 2
Let m(b) be the first derivative of -1/24*b**4 + 5/3*b - 1/4*b**2 - 1/3*b**3 + 143. Factor m(h).
-(h - 1)*(h + 2)*(h + 5)/6
Let w(r) be the first derivative of r**3/3 - 167*r**2 + 27889*r + 1091. What is k in w(k) = 0?
167
Factor 3/4*i**2 - 3*i - 24.
3*(i - 8)*(i + 4)/4
Let h = -30238 + 30243. Solve -8/7*a + 10/7*a**4 + 2/7*a**h + 0 + 6/7*a**3 - 10/7*a**2 = 0.
-4, -1, 0, 1
Let j = 132 + -129. Suppose -j*g - 4 - 2 = -3*p, -p = -2*g. Suppose -6*h**g + 0*h**2 + h**4 - 87*h**3 + 92*h**3 = 0. What is h?
-6, 0, 1
Let 2/3*r**5 - 3872/9*r**2 + 5428/9*r**3 + 0 - 2336/9*r**4 + 86*r = 0. Calculate r.
0, 1/3, 1, 387
Suppose 24*r - 38 = -65*r + 10 + 130. Let 7/5*b**r - 12/5 - 4/5*b - 1/5*b**3 = 0. Calculate b.
-1, 2, 6
Let q be 1/((-7)/21*(-3)/(-13)). Let f be ((-9)/2)/(q/(-2) + -9). Factor -24/5 + f*m**2 + 6*m.
3*(m + 4)*(3*m - 2)/5
Let k(w) be the second derivative of 1/50*w**5 + 8/15*w**3 + 42*w + 1/5*w**4 + 0*w**2 + 0. Determine x so that k(x) = 0.
-4, -2, 0
Let c be (-11*(-16)/528)/(30/180). Determine q so that 60*q - 3/2*q**c - 600 = 0.
20
Let v(s) be the third derivative of s**7/42 - 35*s**6/12 - 6*s**5 + 175*s**4/12 + 355*s**3/6 - 2*s**2 + 3*s. Factor v(l).
5*(l - 71)*(l - 1)*(l + 1)**2
Let c(l) be the first derivative of l**4/4 - 854*l**3 + 1093974*l**2 - 622835864*l + 1842. Factor c(p).
(p - 854)**3
Let i(f) be the third derivative of -1/40*f**6 + 0*f**3 + 0 + 0*f + 0*f**4 - 7/20*f**5 - 55*f**2. Let i(w) = 0. Calculate w.
-7, 0
Let m be -24 - (1 + -2 + -2)