-3, 2/9
Let r(s) = 9*s**4 - 34*s**3 - 281*s**2 - 379*s + 5. Let d(g) = -10*g**4 + 32*g**3 + 278*g**2 + 378*g - 6. Let z(w) = 5*d(w) + 6*r(w). What is m in z(m) = 0?
-3, -2, 0, 16
Let l(m) be the first derivative of m**5/5 - 128*m**3 - 2048*m**2 - 12288*m + 1145. Factor l(n).
(n - 24)*(n + 8)**3
Let m(a) be the second derivative of -49*a**6/10 - 252*a**5/5 - 351*a**4/2 - 216*a**3 - 243*a**2/2 + a + 346. Factor m(s).
-3*(s + 3)**2*(7*s + 3)**2
Let j(i) = -9*i**2 + 2664*i - 591402. Let c(k) = -k**2 + 1. Let w(r) = -6*c(r) + j(r). Determine l so that w(l) = 0.
444
Let q be (-4)/(-28) + (924/49 - 1). Solve q - 266*v + 63825*v**2 - 61605*v**3 - 909*v - 1065*v + 2 = 0.
2/111, 1
Let s(z) be the first derivative of -25*z**3/3 - 145*z**2 - 480*z - 1127. Let s(p) = 0. Calculate p.
-48/5, -2
Let i(v) be the first derivative of -1/26*v**4 + 302/39*v**3 - 5775/13*v**2 + 11250/13*v + 89. Let i(r) = 0. What is r?
1, 75
Let m = 589/3 + -391/2. Let x(n) be the first derivative of -21/4*n**4 - 17/5*n**5 - n**2 - 11/3*n**3 - 8 - m*n**6 + 0*n. Factor x(w).
-w*(w + 1)**3*(5*w + 2)
Suppose 2*f + 69 - 73 = 0. Suppose 84 = 14*w - f*w. Solve -3*v**2 - w*v + 8 + 2*v**2 + 2*v**2 - 16 = 0 for v.
-1, 8
Let g(j) be the first derivative of 0*j - 1/3*j**3 - 83 + 3*j**2. Solve g(u) = 0 for u.
0, 6
Let t be (-182)/(-6) - (-8)/(-24). Let b be (-24)/t*10 + 10. Find q, given that -8/3 + 10/3*q**b + 2/3*q = 0.
-1, 4/5
Let j(b) be the first derivative of 0*b + 1/4*b**4 + 0*b**3 - 1/4*b**5 + 12*b**2 - 19. Let v(t) be the second derivative of j(t). Suppose v(y) = 0. Calculate y.
0, 2/5
Let n(t) be the second derivative of -9*t**5/20 + 368*t**4 - 2941*t**3/6 + 245*t**2 + 2707*t. Factor n(s).
-(s - 490)*(3*s - 1)**2
Suppose 28*h + 1136*h + h**2 - 1061 - 82540 - 4*h**2 - 29307 = 0. What is h?
194
Let o(k) be the first derivative of -63 - 578*k - 2/3*k**3 - 34*k**2. What is u in o(u) = 0?
-17
Suppose u + 3*n = 8, -3*u + 5*u - n - 2 = 0. Suppose 2*l + l = 2*c - 4, c = -l + 2. Determine f so that 2*f**2 - 2*f**c + 6*f**2 - 12*f - 4*f**u - 14 = 0.
-1, 7
Let f(l) = -l**3 - 14*l**2 - 15*l + 10. Let p be f(-13). Factor 112 - 2*u + p*u**2 + 2*u**3 - u + 123*u.
2*(u + 2)**2*(u + 14)
Suppose 18*d - 13687*d**2 + 13091*d**2 - 304*d**3 + 6*d = 0. Calculate d.
-2, 0, 3/76
Let i(h) be the third derivative of 0*h - 277*h**2 - 1/180*h**5 + 0 - 1/12*h**4 + 1/360*h**6 + 0*h**3. Factor i(a).
a*(a - 3)*(a + 2)/3
Let r = -1225/12 + 419/4. Let h(d) be the first derivative of 2/15*d**5 + 5/6*d**4 - 16 - 8/3*d**2 - r*d - 2/9*d**3 - 1/9*d**6. Factor h(n).
-2*(n - 2)**2*(n + 1)**3/3
Suppose 0 = 4*l + 20, 136 = -9*k + 13*k + 4*l. Suppose -21*o + k = -3. Determine m, given that 1/2 - 17*m + 289/2*m**o = 0.
1/17
Let q(r) be the first derivative of -r**4/16 - 133*r**3/2 - 53067*r**2/2 - 4705274*r - 2378. Factor q(a).
-(a + 266)**3/4
Let n(u) = -11*u**5 + 85*u**4 - 5*u**3 + 5*u - 5. Let v(k) = -27*k**5 + 213*k**4 - 12*k**3 + 12*k - 12. Let c(m) = 12*n(m) - 5*v(m). Factor c(i).
3*i**4*(i - 15)
Let k(f) = -2*f + f + 2*f. Let h be k(2). Suppose 2*g**h - 6*g**2 + 3*g**2 - g = 0. Calculate g.
-1, 0
Factor 13/2*u + 1/2*u**4 - 6 - 13/2*u**3 + 11/2*u**2.
(u - 12)*(u - 1)**2*(u + 1)/2
Let q(u) be the first derivative of u**5/10 + 27*u**4/8 + 116*u**3/3 + 135*u**2 - 400*u + 977. Find n such that q(n) = 0.
-10, -8, 1
What is f in -1/3*f**2 - 184 - 553/3*f = 0?
-552, -1
Let 0 + 0*w - 7/3*w**3 - 80/9*w**2 - 1/9*w**4 = 0. Calculate w.
-16, -5, 0
Let s(h) = 24*h**2 - 156*h - 7. Let m(c) = 11*c**2 - 78*c - 3. Let v(z) = -7*m(z) + 3*s(z). Suppose v(n) = 0. Calculate n.
0, 78/5
Suppose x + 4 = -2*q, x + 67 = q + 69. Let f(j) be the third derivative of 5/6*j**4 - 4/3*j**3 + 8*j**2 + 0*j - 1/24*j**6 + 1/30*j**5 + x. Solve f(w) = 0 for w.
-2, 2/5, 2
Determine h, given that 5/2*h**4 - 15*h + 0 + 65/4*h**3 + 85/4*h**2 = 0.
-4, -3, 0, 1/2
Let f(v) be the first derivative of -v**3/5 + 156*v**2 - 13002. Factor f(h).
-3*h*(h - 520)/5
Factor 199 - 20*w**3 - 140 - 59 - 12*w**2.
-4*w**2*(5*w + 3)
Let b(m) be the third derivative of 0 + 0*m + 0*m**3 - 3/280*m**6 - 1/56*m**4 + 1/490*m**7 - 89*m**2 + 3/140*m**5. Determine f so that b(f) = 0.
0, 1
Let p(h) be the first derivative of -2*h**5/25 + 9*h**4/10 - 8*h**3/5 - 16*h**2 + 384*h/5 + 1562. Factor p(f).
-2*(f - 4)**3*(f + 3)/5
Let l(f) be the third derivative of 0 - 8/3*f**5 + 6*f**2 - 17/6*f**4 + f - 7/10*f**6 + 4/3*f**3. Solve l(z) = 0 for z.
-1, 2/21
Let j be 33776/28 - ((-48)/21)/(-8). Factor 171*o**2 - 2*o**2 + j*o - 293 + 2597 + 27*o**2 + 4*o**3 + 1290*o.
4*(o + 1)*(o + 24)**2
Let f(l) be the third derivative of -l**5/15 - 3187*l**4/3 - 20313938*l**3/3 - 5301*l**2 - 2*l. Let f(h) = 0. What is h?
-3187
Let o(b) be the third derivative of 9 + 0*b + 1/80*b**6 + 2*b**2 - 1/24*b**4 - 1/672*b**8 + 0*b**3 - 1/120*b**5 + 1/420*b**7. Suppose o(z) = 0. Calculate z.
-1, 0, 1, 2
Let b = -555 - -573. Suppose b*l - 125 = -7*l. Determine w, given that 0*w - 6*w**3 + 0 - 3*w**2 + 57/4*w**4 - 21/4*w**l = 0.
-2/7, 0, 1, 2
Suppose 32*m = 21*m + 44. Suppose -m = 2*b - 4*s, s = -2*s + 3. Factor b + 0*q**4 + 0*q**2 - 4/3*q**3 + 0*q + 4/3*q**5.
4*q**3*(q - 1)*(q + 1)/3
Let z be 35/(-42) + (-950)/12. Let j be ((-730)/z + -11)/((-6)/4). Find f such that 0*f + 0 + j*f**5 + 1/2*f**2 + 9/4*f**3 + 3*f**4 = 0.
-1, -2/5, 0
Let w(y) = -158*y**2 + 440*y + 34. Let v(d) = -14*d**2 + 40*d + 3. Let j(r) = -68*v(r) + 6*w(r). Factor j(z).
4*z*(z - 20)
Let a = -10212/13 - -51086/65. Determine v so that 0 + 24/5*v - a*v**3 - 2/5*v**4 + 16/5*v**2 = 0.
-2, 0, 3
Let m = -737 + 1761. Factor -167*s + 40*s**3 - 29*s**3 + 69*s**2 + 4*s**4 - 21*s**2 + 41*s**3 - 857*s - m.
4*(s - 4)*(s + 1)*(s + 8)**2
Let b(c) be the third derivative of 0*c**3 + 6/5*c**5 + 1/30*c**6 + 0*c + 0 - 57*c**2 + 0*c**4. Factor b(i).
4*i**2*(i + 18)
Let i(m) be the first derivative of -77/2*m**2 + 91 - 5/3*m**3 - 30*m. Factor i(v).
-(v + 15)*(5*v + 2)
Factor -2888 + 183/8*i**2 + 418*i - 11/4*i**3 - 1/8*i**4.
-(i - 8)**2*(i + 19)**2/8
What is l in -27/10*l**3 + 0 + 1/10*l**4 + 27/10*l - 1/10*l**2 = 0?
-1, 0, 1, 27
Let w(l) = -50*l - 45. Let m be w(-1). Let r be m/25 + 126/45. Factor -2*y - 5/2*y**2 + 2 + 3/2*y**r.
(y - 2)*(y + 1)*(3*y - 2)/2
Suppose -8*f = -574 - 194. Suppose -28 + 3 = -5*u. Solve -5*i**u + 500 - 85*i**4 - f*i**3 - 119*i**3 + 1205*i**2 - 1222*i - 178*i = 0 for i.
-10, 1
Let s(w) be the first derivative of 2*w**5/15 + 3*w**4/2 - 48*w**3 + 252*w**2 - 2715. Factor s(j).
2*j*(j - 6)**2*(j + 21)/3
Let k(j) be the first derivative of j**6/3 - 6*j**5/5 - 9*j**4 - 2607. Let k(r) = 0. What is r?
-3, 0, 6
Factor -3761*a**3 + 1000*a**2 - 63488*a + 123008 + 1881*a**3 + 1876*a**3.
-4*(a - 124)**2*(a - 2)
Let j(k) be the second derivative of 1/12*k**4 + 80*k + 0 + 0*k**2 - 1/3*k**3. Determine c so that j(c) = 0.
0, 2
Let r(g) be the second derivative of -g**6/150 + 37*g**5/4 - 213443*g**4/60 - 214369*g**3/30 + 1593*g. Factor r(p).
-p*(p - 463)**2*(p + 1)/5
Let r be 3*(-2 + (1875/(-9) - 2)). Let s = -637 - r. Factor -3/5*q**4 + 2/5*q - 4/5*q**3 + q**2 + s.
-q*(q - 1)*(q + 2)*(3*q + 1)/5
Let a(r) be the first derivative of r**8/896 + 11*r**7/560 + 7*r**6/64 + 5*r**5/32 + r**2 + 47. Let h(f) be the second derivative of a(f). Factor h(t).
3*t**2*(t + 1)*(t + 5)**2/8
Let d(n) be the second derivative of 1/10*n**5 + 0 - 14/3*n**3 - 20*n + 5/6*n**4 + 0*n**2. Let d(u) = 0. Calculate u.
-7, 0, 2
Solve -4/9*t**2 - 28/9*t + 104/3 = 0 for t.
-13, 6
Let g(t) = 65*t**2 - 1300*t - 1475. Let n(c) = 7*c**2 - 145*c - 164. Let p(k) = -6*g(k) + 55*n(k). Solve p(a) = 0.
-34, -1
Let s(w) be the second derivative of -w**8/11760 + w**6/1260 - 25*w**4/6 - 7*w - 2. Let r(a) be the third derivative of s(a). Determine l, given that r(l) = 0.
-1, 0, 1
Let n(f) = f**2 - 62*f. Let x(u) = 3*u**2 - 2318*u - 1071225. Let a(s) = -4*n(s) + x(s). Factor a(q).
-(q + 1035)**2
Let c(f) be the second derivative of -484*f**6/135 - 7282*f**5/45 - 110221*f**4/54 - 3310*f**3/9 - 25*f**2 - 3969*f. Suppose c(b) = 0. Calculate b.
-15, -1/22
Let x = 63 + -65. Let l(v) = 5*v**2 - 123*v + 115. Let i(f) = 5*f**2 - 122*f + 115. Let k(c) = x*l(c) + 3*i(c). Solve k(j) = 0.
1, 23
Let r(f) be the second derivative of f**4/30 + 163*f**3/15 + 96*f**2 + 4035*f. Find o such that r(o) = 0.
-160, -3
Suppose -50*k = 4497 + 