- 15*l + 22. Suppose r(h) = 0. Calculate h.
-3, 162
Let r(p) be the second derivative of -p**5/90 - 31*p**4/54 + 274*p**3/27 + 304*p**2/9 - 2*p - 221. Let r(l) = 0. What is l?
-38, -1, 8
Let k(o) = 9*o**4 + 23*o**3 + 38*o**2 + 32*o - 8. Let g(r) = 9*r**4 + 21*r**3 + 36*r**2 + 33*r - 9. Let u(j) = -8*g(j) + 9*k(j). Factor u(v).
3*v*(v + 1)*(v + 2)*(3*v + 4)
Suppose -t + 5*m = 3, -5*t + 24 + 24 = -4*m. Suppose 3*o - t = 4*b, 7*o - 4*o = -2*b + 12. Find i such that b + 0*i + 2/3*i**2 + 1/3*i**3 = 0.
-2, 0
Solve -4*v + 40*v + v + 56*v**3 - 12*v**2 - 59*v**3 + 180 + 14*v = 0 for v.
-5, -3, 4
Find a such that 2067/2*a**3 - 3/2*a**4 + 258*a - 8259/8*a**2 + 0 = 0.
0, 1/2, 688
Let z(s) = 2*s**2 - 80*s + 84. Let n be z(39). Let l be ((-4)/n)/(36/(-108)). Solve -1/2*h + 1/6 + 1/2*h**l - 1/6*h**3 = 0 for h.
1
Let n be 162/(-135)*10/(-6). Let -3*i**2 - n + 21*i + 6*i**2 + 0*i**2 - 22 = 0. Calculate i.
-8, 1
Determine m, given that -54*m**2 - 111*m**2 + 420*m**4 + 255*m**4 + 64*m**5 - 44*m**5 - 2*m**3 + 492*m**3 = 0.
-33, -1, 0, 1/4
Let r(t) be the third derivative of t**6/840 + 61*t**5/420 + 41*t**4/42 - 290*t**3/21 - 134*t**2 + 8. Factor r(d).
(d - 2)*(d + 5)*(d + 58)/7
Factor 2/3*i**3 + 784/3 + 910/3*i + 128/3*i**2.
2*(i + 1)*(i + 7)*(i + 56)/3
Let u(s) be the first derivative of 40*s**6/21 + 438*s**5/35 + 174*s**4/7 + 290*s**3/21 - 24*s**2/7 - 2401. Suppose u(h) = 0. What is h?
-3, -8/5, -1, 0, 1/8
Let g be (-2)/7*(11 + -39). Suppose 10 = g*f - 6. Find u, given that -3*u**f - 3*u**3 - 3*u**3 - 3*u**4 - 55*u + 55*u = 0.
-1, 0
Suppose 15*i = -12*i + 81. Factor -i*a + 59*a - 6*a**2 + 98 - 258 + 2*a**2.
-4*(a - 10)*(a - 4)
Let x(q) be the second derivative of q**6/135 + 101*q**5/90 + 833*q**4/18 - 289*q**3/3 + 795*q + 1. Determine h, given that x(h) = 0.
-51, 0, 1
Let j(v) = -77*v**2 + 24629*v - 9813. Let z(a) = -40*a**2 + 12315*a - 4905. Let d(c) = -5*j(c) + 9*z(c). Let d(n) = 0. What is n?
2/5, 492
Let n(c) be the second derivative of 0 + 1/6*c**4 + 119*c + 0*c**2 - 2/3*c**3. Determine d, given that n(d) = 0.
0, 2
Let l = -240287/570 + 2108/5. Let i = l - -151/456. Factor 0 + i*v**3 - 3/8*v + 0*v**2.
3*v*(v - 1)*(v + 1)/8
Suppose -2186*a = -1507*a. Factor 1/2*c**2 + a + 2*c.
c*(c + 4)/2
Let v be ((10/3)/2)/(55/495). Suppose -20 = 5*g, v = 5*m + g + 9. Solve -16/9*u + 4/9*u**m + 0 = 0 for u.
0, 4
Suppose 3*l = 2*j + 157, l + 52*j = 55*j + 57. Factor -l + 3/2*g**2 - 99/2*g.
3*(g - 34)*(g + 1)/2
Let z(b) = 164*b**3 + 12*b**2 + 312*b. Let m(i) = 7*i**3 - i**2 - 2*i. Let a(h) = 24*m(h) - z(h). Factor a(n).
4*n*(n - 15)*(n + 6)
Let v(l) be the first derivative of -l**6/120 + 9*l**5/20 - 45*l**4/8 - 220*l**3/3 + 123. Let p(o) be the third derivative of v(o). Solve p(q) = 0 for q.
3, 15
Suppose -91*l = -226*l - 270, -9 = -y + 3*l + 1. Find d, given that 6/5*d - 24/5 + 27/5*d**2 - 3/5*d**y - 6/5*d**3 = 0.
-4, -1, 1, 2
Let m(t) be the second derivative of 2/3*t**4 + 4/3*t**3 - 2*t + 1/10*t**5 + 0*t**2 - 35. Factor m(s).
2*s*(s + 2)**2
Let r = -29012 + 29014. Solve o**r + 0*o**3 + 0 - 1/3*o**4 + 2/3*o = 0.
-1, 0, 2
Let z(w) = w**3 + 10*w + 2. Let m(x) = -25*x**4 + 36*x**3 + 620*x**2 + 200*x - 8. Let s(c) = m(c) + 4*z(c). Factor s(v).
-5*v*(v - 6)*(v + 4)*(5*v + 2)
Let m(z) = -4*z**3 + 5*z**2 + 63*z + 57. Let n(h) = -3*h**3 + 4*h**2 + 61*h + 56. Let j(i) = 2*m(i) - 3*n(i). Find p, given that j(p) = 0.
-6, -1, 9
Let n = 75 - 72. Factor -10 + 4 + h**4 - 17*h - 7*h**n + 4*h**3 - 15*h**2.
(h - 6)*(h + 1)**3
Let w = -4266/23 - -128003/690. Let i(a) be the second derivative of -w*a**5 - 1/18*a**4 + 0*a**3 + 0*a**2 + 0 + 21*a. Factor i(y).
-2*y**2*(y + 1)/3
Let d = -1413660 + 1413663. Determine w, given that 2/19*w**5 + 6/19*w**4 - 24/19*w - 2/19*w**d - 22/19*w**2 - 8/19 = 0.
-2, -1, 2
Suppose -4*m = -4*f - 8, 3*m - f + 2*f = 14. Let k(z) be the third derivative of 0 + 3*z**2 + 0*z - 1/300*z**5 - 1/24*z**m + 0*z**3. Let k(y) = 0. Calculate y.
-5, 0
Suppose 0 = 4*a + 3*j - 64, 33*a + 4*j - 12 = 46*a. Find n such that -7/9*n**a + 7/9*n**2 + 0 - 1/3*n**5 + n**3 - 2/3*n = 0.
-3, -1, 0, 2/3, 1
Let d(w) be the first derivative of 21/2*w**4 - 292/9*w**3 + 66 - 96*w**2 - 256/3*w + 98/15*w**5. Let d(g) = 0. What is g?
-8/7, -1, 2
Let l(c) be the third derivative of c**9/4320 + 11*c**8/3360 + 4*c**7/315 - c**6/30 + c**5/15 + 117*c**2. Let u(x) be the third derivative of l(x). Factor u(w).
2*(w + 2)*(w + 3)*(7*w - 2)
Let m(y) be the second derivative of 15/2*y**3 + 17*y + 0 - 5/4*y**4 + 1/2*y**2 + 1/12*y**5. Let l(i) be the first derivative of m(i). Factor l(g).
5*(g - 3)**2
Let g(a) = 9*a**3 + 140*a**2 - 1353*a - 1547. Let f(s) = 11*s**3 + 135*s**2 - 1352*s - 1548. Let l(z) = -7*f(z) + 8*g(z). Determine j so that l(j) = 0.
-1, 14, 22
Let y(p) = 3821*p - 38206. Let d be y(10). Determine x, given that -9/4*x**2 + 7/4*x + 5/4*x**3 - 1/2 - 1/4*x**d = 0.
1, 2
Determine x, given that 0*x - 96*x**2 + 0 + 8/9*x**4 + 382/3*x**3 = 0.
-144, 0, 3/4
Factor 1270418 + 1/2*s**2 - 1594*s.
(s - 1594)**2/2
Let a be 3/(-2) + (-27)/(-6) - 0. Let r(h) = h**3 - 10*h**2 + 39*h - 268. Let i be r(9). Factor -9/2*o - 3*o**2 - 1/2*o**a - i.
-(o + 1)**2*(o + 4)/2
Factor 370*a**3 + 14*a**2 - 68*a + 12 + 26*a**2 - 374*a**3 + 20.
-4*(a - 8)*(a - 1)**2
Let p(f) = f**3 + 15*f**2 + 11*f - 39. Let s be p(-14). Let b(c) be the first derivative of -8 + 25/3*c + 5/3*c**2 + 1/9*c**s. Solve b(n) = 0 for n.
-5
Let o be (-728)/(-220) - (-10670)/(-11737). Factor -o*v - 12/5 - 3/5*v**2.
-3*(v + 2)**2/5
Factor 5/4*c**2 - 545/2*c - 1095/4.
5*(c - 219)*(c + 1)/4
Let n(j) be the second derivative of j**6/6 + 244*j**5 + 264875*j**4/2 + 86612500*j**3/3 + 171640625*j**2/2 + 2*j + 40. Let n(q) = 0. Calculate q.
-325, -1
Let w be (-408)/2448 - -53*(-3)/(-306). Factor 10/17*v**3 + w*v**5 + 0 - 14/17*v**4 - 2/17*v**2 + 0*v.
2*v**2*(v - 1)**2*(3*v - 1)/17
Factor 175/4*l**2 + 1/4*l**3 + 0 + 0*l.
l**2*(l + 175)/4
Let f(c) = 18*c**3 + 96*c**2 + 183*c + 93. Let d(g) = -11*g**3 - 93*g**2 - 183*g - 93. Let v(i) = -3*d(i) - 2*f(i). Factor v(t).
-3*(t - 31)*(t + 1)**2
Let v(z) be the first derivative of 4/9*z**2 + 10 + 2/3*z**3 - 14/9*z**4 + 0*z. Factor v(d).
-2*d*(4*d + 1)*(7*d - 4)/9
Let h = -31/3006 + 96409/21042. Determine a so that 2*a**5 - 32/7 + 94/7*a**4 + 32*a**3 + h*a + 208/7*a**2 = 0.
-2, -1, 2/7
Let c(g) be the first derivative of -g**5 + 95*g**4/2 - 115*g**3 - 270*g**2 - 1277. Let c(o) = 0. What is o?
-1, 0, 3, 36
Let r(b) = -3*b - 19. Let s be r(-7). Factor -54*u**s + 4*u - 2*u**4 + 6*u**5 - 4*u**5 - 6*u**3 + 56*u**2.
2*u*(u - 2)*(u - 1)*(u + 1)**2
Let w = -232 - -219. Let k be (-5)/(75/w) + (-1)/5. Factor -k*p + 2/3*p**4 + 2/3*p**3 + 4/3 - 2*p**2.
2*(p - 1)**2*(p + 1)*(p + 2)/3
Let o(y) = 24*y**2 + 264*y - 2080. Let d(v) = -43*v**2 - 529*v + 4158. Let u(x) = 4*d(x) + 7*o(x). Suppose u(t) = 0. Calculate t.
-74, 7
Suppose 36*h + 3 = 39*h. Let r be -5 - -1 - (-6)/h. Find v, given that 12*v**r - 13*v**2 - 16*v + 5*v**2 + 12 + 0 = 0.
1, 3
Suppose 0 = 540*w + 8749 - 9829. Factor b**3 - 14 + 1/2*b**4 - 27/2*b**w + 26*b.
(b - 2)**2*(b - 1)*(b + 7)/2
Let 789*v + 285 + 5*v**3 + 256*v - 277 - 150*v**2 - 908 = 0. What is v?
1, 9, 20
Let c(g) = g**2 - 24*g + 48. Let a be c(22). Let p = a - 0. Factor -1 + 7 + 12*f**2 + 0 + 0*f - 2*f**p + 16*f.
-2*(f - 3)*(f + 1)**3
Suppose -107*w - 687*w = 214*w. Factor 3/4*j + w + 1/2*j**2 - 1/4*j**3.
-j*(j - 3)*(j + 1)/4
Suppose -657 = -39*l + 30*l. Solve 76*n**3 + l*n**3 - 148*n**3 - 4*n = 0.
-2, 0, 2
Suppose 590 - 38 = 4*c. Let m be (-24)/132 + c/33. Factor 3*d + 3/2*d**m + 0 - 3/2*d**2 - 3*d**3.
3*d*(d - 2)*(d - 1)*(d + 1)/2
Let z(h) be the second derivative of -h**5/20 + 311*h**4/48 - 1001*h**3/4 - 1521*h**2/8 - 555*h. Factor z(u).
-(u - 39)**2*(4*u + 1)/4
Let j be 1/(-3 - -8 - 2). Let q = -6429 - -19288/3. Let 0 + q*l**2 + j*l = 0. Calculate l.
-1, 0
Let p(k) be the first derivative of 3*k**2 - 2/45*k**5 - 1/6*k**4 + 0*k + 2/3*k**3 - 21. Find m such that p(m) = 0.
-3, 0, 3
Suppose 26 - 106 = -5*l - 3*y, y - 40 = -3*l. Solve l*k**2 - 1/2*k**4 + 8*k + 0 - 1/4*k**5 + 3*k**3 = 0.
-2, 0, 4
Let h(w) be the third derivative of 0 + 0*w - 191*w**2 + 4/15*w**5 + 0*w**3 + 3/4*w**4 - 1/60*w**6. Factor h(d).
-2*d*(d - 9)*(d + 1)
Let o(n) = 6*n**2 - 94*n - 126. Let l(h) = -9*h**2 + h + 3. Let v(t) = -2*l(t) - o(t).