 = 0. What is m?
0, 1, 2
Determine r, given that -14/11*r**4 - 1/11*r**5 + 364/11*r - 37/11*r**3 - 784/11 + 152/11*r**2 = 0.
-7, -4, 2
Suppose 3*f - 3*v - 6 = 0, -5*v = -v. Factor -2*l**3 + 59*l**2 + 0*l - 31*l**f + l - l.
-2*l**2*(l - 14)
Suppose -4*t = 2*q + 28, -t = 52*q - 51*q + 8. Let b(a) = 22*a**2 - 6*a - 11. Let r(y) = 7*y**2 - 3*y - 4. Let u(i) = t*b(i) + 17*r(i). Factor u(d).
-(d + 1)*(13*d + 2)
Determine b so that 896*b - 2232*b**2 + 5*b**5 + 1772*b**3 - 9*b**5 + 8*b**4 + 118*b**4 - 558*b**4 = 0.
-112, 0, 1, 2
Let n(j) be the second derivative of j**5/8 - 35*j**4/48 - 5*j**3/2 + 20*j**2 - 2*j - 13. Let i(r) be the first derivative of n(r). Factor i(y).
5*(y - 3)*(3*y + 2)/2
Let d be ((-1)/1)/(4/(-20)). Let q be 38/12 + 32/(-192). Let v(k) = -3*k**2 + 17*k + 23. Let c(f) = 2*f**2 - 9*f - 12. Let b(p) = d*c(p) + q*v(p). Factor b(w).
(w + 3)**2
Let b(u) be the first derivative of u**4/22 + 52*u**3/3 + 851*u**2/11 + 1132*u/11 - 1465. Factor b(m).
2*(m + 1)*(m + 2)*(m + 283)/11
Let j be (2/16*148 - 1820/130)*4/3. Determine h, given that -1/4*h**2 + j*h + 0 = 0.
0, 24
Let g(s) be the third derivative of -5*s**8/2016 - 7*s**7/90 - 67*s**6/240 + 52*s**5/45 + 335*s**4/36 + 68*s**3/3 + 784*s**2 + s. What is t in g(t) = 0?
-17, -2, -1, 12/5
Let s(i) be the second derivative of -300763*i**5/20 + 8978*i**4 - 2144*i**3 + 256*i**2 - 2*i + 481. Factor s(v).
-(67*v - 8)**3
Let o(m) be the first derivative of m**4/2 + 116*m**3/3 + 55*m**2 - 228*m - 102. Suppose o(z) = 0. Calculate z.
-57, -2, 1
Let p be 183/(-132)*((-4520)/280 + ((-72)/(-56))/9). Factor 2/11*u**2 - p*u + 7442/11.
2*(u - 61)**2/11
Let u(s) = -30*s**2 + 220*s - 12. Let l(g) = -56*g**2 + 438*g - 22. Let n(p) = 6*l(p) - 11*u(p). Factor n(z).
-2*z*(3*z - 104)
Let j = 2/540333 + 7773770857/3782331. Let o = -2053 + j. Factor 4/7*h**2 - o*h + 0.
4*h*(h - 4)/7
Let t = 65086/6087 + -158/6087. What is s in -t - 30*s**2 - 164/3*s = 0?
-8/5, -2/9
Let b(r) be the first derivative of -r**5/5 + 129*r**4/4 - 2942. Solve b(x) = 0 for x.
0, 129
Suppose -45*f = -42*f + g - 48, 3*f = g + 30. Let h(i) be the second derivative of 0 - 1/72*i**4 - 16/3*i**2 + f*i + 4/9*i**3. Factor h(u).
-(u - 8)**2/6
Let w be (-1015)/60 - (-52 + 35). Let z(h) be the second derivative of -28*h + 0 + 1/80*h**5 + 0*h**2 - 1/48*h**4 - w*h**3. Factor z(p).
p*(p - 2)*(p + 1)/4
Suppose -2/3*l**3 - 598/3*l + 532/3 + 68/3*l**2 = 0. What is l?
1, 14, 19
Let -20/3*i**2 + 32/3*i + 2/3*i**3 + 0 = 0. What is i?
0, 2, 8
Let p = 142553/2 - 71275. Factor -p*n**3 - 33/4*n**2 - 15/2*n + 6.
-3*(n + 2)*(n + 4)*(2*n - 1)/4
Determine t so that -4*t**2 + 17*t - 3410156 - 2133*t + 5856*t + 5636*t - 2084180 = 0.
1172
Let d(o) = o - 3. Let c be d(5). Let v be 1/3 - (56/(-21) - (37 - 40)). Factor -16/5*u + v + 16/5*u**c + 4/5*u**3 - 4/5*u**4.
-4*u*(u - 2)*(u - 1)*(u + 2)/5
Let f(u) be the second derivative of u**4/30 + 2*u**3 - 31*u**2/5 + 2*u + 362. Factor f(x).
2*(x - 1)*(x + 31)/5
Let p(i) be the third derivative of i**7/210 + 341*i**6/30 + 116281*i**5/10 + 39651821*i**4/6 + 13521270961*i**3/6 - 604*i**2. Find z, given that p(z) = 0.
-341
Let z(f) be the third derivative of -f**6/30 + 4*f**5/5 - 3*f**4/2 - 44*f**3/3 + 182*f**2 + 3*f. Find j such that z(j) = 0.
-1, 2, 11
Suppose -38/3*m**2 + 0 + 1/6*m**4 + 7/2*m**3 - 16*m = 0. Calculate m.
-24, -1, 0, 4
Let t(m) be the third derivative of -5/8*m**6 + 4*m**3 + 0*m - 1/112*m**8 + 0 - 7/2*m**4 - 48*m**2 + 4/35*m**7 + 19/10*m**5. Factor t(u).
-3*(u - 2)**3*(u - 1)**2
Let b(m) = 3*m**3 + 201*m**2 + 5*m + 337. Let q be b(-67). Let 48/5*n + 4/5*n**q + 144/5 = 0. Calculate n.
-6
Let m(i) be the first derivative of -i**7/280 + i**6/40 + 3*i**5/5 + 7*i**4/2 + 25*i**3/3 - 75. Let f(k) be the third derivative of m(k). Factor f(h).
-3*(h - 7)*(h + 2)**2
Let i(u) be the first derivative of 7*u**5/4 - 145*u**4/16 + 95*u**3/12 + 105*u**2/8 - 45*u/2 + 10755. Determine a so that i(a) = 0.
-6/7, 1, 3
Suppose 1/3*p**2 + 40 - 26/3*p = 0. Calculate p.
6, 20
Suppose 4*x = -3*k + 2900, 33*k - 38*k - 2*x = -4810. Let g = k + -1917/2. Factor -1/2*z**4 - 13/4*z + z**2 + g - 1/4*z**5 + 3/2*z**3.
-(z - 1)**3*(z + 2)*(z + 3)/4
Let g(v) be the second derivative of 21*v**5/160 - 99*v**4/16 + 357*v**3/4 - 147*v**2/2 + v - 171. Find c, given that g(c) = 0.
2/7, 14
Suppose 0 = -18*s + 144 - 108. Let r(l) be the first derivative of -5/4*l**4 - 10/3*l**3 + 0*l - 13 + 0*l**s. Determine z so that r(z) = 0.
-2, 0
Suppose 43*t - 38 - 134 = 0. Let p(s) be the second derivative of 8*s + t*s**3 - 1/3*s**4 - 18*s**2 + 0. Factor p(u).
-4*(u - 3)**2
Factor 0 + 174/7*k - 2/7*k**3 + 52/7*k**2.
-2*k*(k - 29)*(k + 3)/7
Let n(v) be the third derivative of -v**5/105 - 41*v**4/21 - 158*v**3/7 + v**2 - 96*v. Factor n(h).
-4*(h + 3)*(h + 79)/7
Suppose 0 = -1153*w + 1160*w. Let j(m) be the third derivative of -15*m**2 + 1/560*m**7 + 1/32*m**4 + w + 0*m + 1/32*m**5 + 0*m**3 + 1/80*m**6. Solve j(i) = 0.
-2, -1, 0
Let r(j) = 65*j**2 + 220*j + 45. Let t(z) = 3*z**2 + 10*z + 2. Suppose 2*g = g + 3, 3*g - 15 = 3*b. Let i(f) = b*r(f) + 45*t(f). Suppose i(m) = 0. Calculate m.
-2, 0
Suppose -17*x + 26*x = 18. Find m such that m**4 + x*m**5 - m**2 - 15*m + 17*m - m**5 - 3*m**3 = 0.
-2, -1, 0, 1
Let h(j) be the third derivative of j**9/9072 - j**7/1260 + j**5/360 - 79*j**3/6 - 65*j**2. Let s(c) be the first derivative of h(c). Factor s(d).
d*(d - 1)**2*(d + 1)**2/3
Let b(v) be the first derivative of -4*v**5/5 - 118*v**4 + 320*v**3 + 909. Factor b(y).
-4*y**2*(y - 2)*(y + 120)
Let p(z) be the second derivative of 3*z**8/1120 + z**7/240 - z**6/360 + 34*z**3/3 + z**2 + z + 53. Let c(i) be the second derivative of p(i). Factor c(d).
d**2*(d + 1)*(9*d - 2)/2
Suppose -6*h = -13*h + 14. Factor 4*s - 3*s**3 - 2*s - s**3 + 2*s + 2*s**4 - 2*s**h.
2*s*(s - 2)*(s - 1)*(s + 1)
Let x(n) be the first derivative of 4/3*n**2 - 2/9*n**6 + 0*n + 38 - 1/3*n**4 - 4/5*n**5 + 4/3*n**3. Suppose x(h) = 0. Calculate h.
-2, -1, 0, 1
Let k(b) be the first derivative of -2*b**3/3 - 137*b**2 + 556*b - 2538. Find o such that k(o) = 0.
-139, 2
Let m(t) = t**3 - 34*t**2 + 68*t - 86. Let w be m(32). Factor -w + 36*a - 93 + 172*a**2 - 169*a**2.
3*(a - 3)*(a + 15)
Let r(c) be the third derivative of -c**6/320 + 7*c**5/80 + 15*c**4/8 - 21*c**2 - 5*c. Factor r(x).
-3*x*(x - 20)*(x + 6)/8
Find k such that 300 + 80*k - 1857*k**3 + 1852*k**3 - 34*k**2 - 11*k**2 = 0.
-10, -2, 3
Let k(i) be the second derivative of -1/6*i**6 + 5/12*i**4 + 0*i**2 + 155*i + 13/4*i**5 - 65/6*i**3 + 0. Let k(y) = 0. What is y?
-1, 0, 1, 13
Suppose 279 = 5*o + 254. Factor -8*g + 6*g**3 - 8*g**2 + 10*g**2 + 3*g - g**o + g**4 - 3.
-(g - 3)*(g - 1)*(g + 1)**3
Let m(l) = l**3 + l**2 - 77*l + 108. Let v(r) = 3*r**3 + 2*r**2 - 235*r + 318. Let p(n) = 8*m(n) - 3*v(n). Factor p(i).
-(i - 10)*(i - 1)*(i + 9)
Let h be 21/(17955/9144) + 2/19. Let s(x) be the second derivative of 0 + 1/25*x**5 + 3/5*x**4 + h*x**2 - 11*x + 18/5*x**3. Let s(a) = 0. What is a?
-3
Let z(c) be the third derivative of 0*c + 0 + 1/240*c**5 + 1/24*c**4 - 72*c**2 + 0*c**3. Factor z(o).
o*(o + 4)/4
Let y(w) be the third derivative of 1/6*w**4 + 0 - 2/9*w**3 - 11/180*w**5 + 1/360*w**6 - 10*w**2 - 1/1008*w**8 + 1/210*w**7 + 0*w. Suppose y(d) = 0. What is d?
-2, 1, 2
Let g(b) be the third derivative of 1/14*b**3 - 1/140*b**5 + 31*b**2 - 3 + 0*b - 1/840*b**6 + 1/168*b**4. Suppose g(l) = 0. Calculate l.
-3, -1, 1
Let w = -34 - -26. Let f be w - -5 - ((-9)/3 + -7). Factor -f*u**4 + 100*u + 24*u**2 + 1000 + 3*u**4 - 52*u**3 - 204*u**2.
-4*(u - 2)*(u + 5)**3
Let d(x) be the first derivative of -169*x**4/66 - 52*x**3/33 - 4*x**2/11 + 81*x + 76. Let h(o) be the first derivative of d(o). Factor h(g).
-2*(13*g + 2)**2/11
Let s be (-10 + ((-6)/4 - -10))*(-80)/900. Solve 4/3 - s*n**2 - 2/5*n = 0.
-5, 2
Let f = -1326218 + 1326230. Determine l so that 1/6*l**2 - f*l + 216 = 0.
36
Let f(y) = -y**2 + 38*y. Let r(c) = -9*c**2 + 267*c. Let b = 122 + -124. Let o(v) = b*r(v) + 15*f(v). Determine i so that o(i) = 0.
-12, 0
Let s(t) be the second derivative of -5*t**4/12 - 630*t**3 - 357210*t**2 + 2*t - 21. Find l, given that s(l) = 0.
-378
Let c(v) be the second derivative of v**5/150 - v**4/10 - 7*v**3/15 - 51*v**2/2 + 9*v - 1. Let m(k) be the first derivative of c(k). What is o in m