ven that x(z) = 0.
-51, 0, 1, 2
Let h be (69 - -1)*7/(-175)*-10. Solve h*r + 12 + 3*r**2 + 12 + 2*r**2 - r**2 = 0 for r.
-6, -1
Let 713 - 143*s + 13*s**2 - 689 + 301*s = 0. What is s?
-12, -2/13
Let f = -227 + 228. Let q be 11 - f - (5 - -1). Solve 4/3*s**3 - 4/3*s + 2*s**2 - 2*s**q + 0 = 0 for s.
-1, 0, 2/3, 1
Let x(d) = d**3 - d**2 + 9*d - 4. Let i be x(2). Let -o - i*o - 12 + 4*o**2 - 20 - 5*o - 8*o**2 = 0. What is o?
-4, -2
Suppose -u + a + 37 = u, -4*u - 5*a + 39 = 0. Suppose 0*j = j - 5*c - 28, -u = 3*j + 5*c. Factor 4*m**4 + 10*m**5 + 0*m**3 - j*m**3 - 3*m**3.
2*m**3*(m + 1)*(5*m - 3)
Let k be (-432)/(-168)*3/(-222). Let d = 991/1295 - k. Factor d - 2/5*w - 2/5*w**2.
-2*(w - 1)*(w + 2)/5
Let m(t) = -7*t**4 - 4*t**3 - 24*t**2 + 52*t - 4. Let u(j) = 9*j**4 + 4*j**3 + 25*j**2 - 53*j + 5. Let i(f) = 5*m(f) + 4*u(f). Solve i(g) = 0.
-4, 0, 2, 6
Let h(r) be the third derivative of r**5/5 + 19*r**4/24 - r**3/3 + 21*r**2. Let y(i) = 84*i**2 + 132*i - 12. Let w(g) = 15*h(g) - 2*y(g). Solve w(m) = 0.
-2, 1/4
Let m(t) be the second derivative of -t**6/10 - 72*t**5/5 + 147*t**4/2 - 148*t**3 + 297*t**2/2 + 5656*t. Suppose m(c) = 0. Calculate c.
-99, 1
Let b(j) be the second derivative of j**7/18900 + j**6/1080 + j**5/150 + 8*j**4 + 61*j. Let l(k) be the third derivative of b(k). Solve l(m) = 0 for m.
-3, -2
Solve -6*k - 9*k**2 + 6*k**3 - 3/5*k**4 + 48/5 = 0 for k.
-1, 1, 2, 8
Factor 44 + 4/5*o**2 + 64/5*o.
4*(o + 5)*(o + 11)/5
Factor 2/15*t**2 + 106/5*t + 0.
2*t*(t + 159)/15
Let v(x) be the second derivative of -2*x**6/15 + 18*x**5/5 + 44*x**4/3 - 48*x**3 - 320*x**2 + 4133*x. Let v(i) = 0. What is i?
-2, 2, 20
Let c be (-1)/42*-12*((-56)/88)/(-1). Factor -2/11*s**3 + 2/11*s - 2/11*s**2 + c.
-2*(s - 1)*(s + 1)**2/11
Let w = 92873/7 - 13263. Let f(p) be the first derivative of w*p**2 + 256/7*p + 4/21*p**3 - 16. Suppose f(m) = 0. What is m?
-8
Let p = 1122 + -77. Find i, given that -2*i**2 + 6*i**2 + p*i - 1021*i + 32 = 0.
-4, -2
Let c(k) be the second derivative of 493/24*k**4 + k**2 + 1 - 311/60*k**5 - 65/9*k**3 - 497/60*k**6 + 7*k + 7/2*k**7. Let c(z) = 0. What is z?
-1, 2/21, 1, 3/2
Let c(k) be the second derivative of -k**4/6 + 91*k**3/3 + 92*k**2 + 485*k. Factor c(j).
-2*(j - 92)*(j + 1)
Let l(k) be the second derivative of -9/2*k**3 + 0 - 99*k + 25/4*k**4 - 12*k**2 - 81/80*k**5 - 1/8*k**6. Find j, given that l(j) = 0.
-8, -2/5, 1, 2
Let o be 6/(-18)*(8 + -17)*5. Factor 0 + 100/3*m**2 + 5/3*m**4 + o*m**3 + 20*m.
5*m*(m + 1)*(m + 2)*(m + 6)/3
Let t(i) = i**3 - i**2 - 3*i - 1. Let m(n) = 3*n**3 + 15*n**2 - 69*n - 1. Let q(p) = 2*m(p) - 2*t(p). Factor q(u).
4*u*(u - 3)*(u + 11)
Find n such that 6/5*n**2 + 33/5*n**4 - 39/5 - 78/5*n**3 + 3/5*n**5 + 15*n = 0.
-13, -1, 1
Let m(t) be the second derivative of t**6/6 + 34*t**5 + 8355*t**4/4 + 65975*t**3/3 + 84500*t**2 + 2622*t. Factor m(s).
5*(s + 2)*(s + 4)*(s + 65)**2
Let s = 1017/34 - 432/17. Let i(f) be the first derivative of -6*f + 3/5*f**5 + f**3 - 38 + s*f**2 - 9/4*f**4. Let i(w) = 0. Calculate w.
-1, 1, 2
Let g(o) be the third derivative of -1/3*o**3 + 0 - 1/24*o**4 + 0*o + 1/60*o**5 - 203*o**2. Factor g(j).
(j - 2)*(j + 1)
Let w(x) be the first derivative of -x**5/5 + 11*x**4/9 + 8*x**3/9 - 48*x + 19. Let g(y) be the first derivative of w(y). Suppose g(b) = 0. Calculate b.
-1/3, 0, 4
Find i such that 12*i + 3/5*i**2 + 288/5 = 0.
-12, -8
Let j be (32/12 + (-2)/(-6))*1. Determine g so that -13*g - 2*g**2 - 10 + j*g + 8*g + 14*g = 0.
1, 5
Let t(m) = -m**2 + 46*m - 205. Suppose 5*k - 77 = -0*a - 2*a, 2*k - 121 = -3*a. Let w be t(a). Factor w + 2/7*n**2 - 13/7*n**3 + 0*n.
-n**2*(13*n - 2)/7
Let z(r) be the third derivative of -r**6/30 - 32*r**5/5 + 99*r**4/2 + 2*r**2 - 472. Solve z(v) = 0.
-99, 0, 3
Let l(v) be the second derivative of v**5/60 + v**4/6 - 17*v**3/6 + 22*v**2/3 + 121*v + 1. Let l(o) = 0. What is o?
-11, 1, 4
Let r(i) be the second derivative of 0 - 1/78*i**4 + 19/39*i**3 - 8*i + 0*i**2. Factor r(l).
-2*l*(l - 19)/13
Let a(d) be the second derivative of -d**6/10 + 45*d**5/4 - 73*d**4/4 - 75*d**3/2 + 111*d**2 + 1939*d. Determine w, given that a(w) = 0.
-1, 1, 74
Let q(z) be the third derivative of -z**7/168 + 3*z**6/32 - z**5/8 - 5*z**4/6 + 598*z**2. Let q(w) = 0. What is w?
-1, 0, 2, 8
Let d(s) be the second derivative of -1/5*s**5 - 52/3*s**4 - 1352/3*s**3 + 53*s + 0 + 0*s**2. Factor d(p).
-4*p*(p + 26)**2
Factor -3*y**2 - 10*y**2 + 4551 - 8*y**2 - 5657*y + 1109*y + 18*y**2.
-3*(y - 1)*(y + 1517)
Let s be -5 - 350*6/12. Let i = -177 - s. Factor 4/3*w**2 + 2/3*w + 0 - 4/3*w**4 + 0*w**i - 2/3*w**5.
-2*w*(w - 1)*(w + 1)**3/3
Suppose -5*j = -5 - 10. Let t be j/3*-1 + -4 + 7. Find g, given that -7*g**t - 3*g**4 + 8*g + 2*g**3 - 95*g**5 + 94*g**5 + 19*g**2 = 0.
-2, -1, 0, 2
Let a(u) be the first derivative of u**6/66 + u**5/55 - 14*u**4/11 + 48*u**3/11 + 845. Factor a(m).
m**2*(m - 4)**2*(m + 9)/11
Let p(b) = -20 + 21*b - 4 + 10*b - 13. Let j be p(4). Factor -16*m**2 + 24*m**3 - 46*m**5 - 39*m**5 + j*m**5 - 12*m**4.
2*m**2*(m - 2)**3
Let j = 1880046/5 + -376009. Factor j*o**2 + 18/5 + 11/5*o.
(o + 2)*(o + 9)/5
Let z(v) = 2*v**3 - 62*v**2 + 171*v - 81. Let t be z(28). Find k such that -10/3 + 2/3*k**t - 6*k - 2*k**2 = 0.
-1, 5
Suppose 900 = t + t + 4*i, 2*i = 0. Suppose 4*o = 2*w - 0*w + t, 4*o - 441 = 5*w. Factor 53 + o*q**2 + 312*q + 2*q**2 + 2*q**3 + 8*q**3 - 197.
2*(q + 6)**2*(5*q - 2)
Let t(u) be the first derivative of -u**4/12 + 25*u**3/6 + 13*u**2 + 34*u - 100. Let m(r) be the first derivative of t(r). Solve m(w) = 0 for w.
-1, 26
Suppose 2*u - 9 = 15. Let j(f) = -u + 14*f - f**2 + 6*f**2 - f**2 + 2*f**3. Let l(x) = x**3 + x**2 + 5*x - 4. Let k(g) = 3*j(g) - 8*l(g). Factor k(o).
-2*(o - 2)*(o - 1)*(o + 1)
Find f, given that 32*f**5 - 8*f**5 + 52*f**3 - 7*f**4 + 126*f - 88*f**4 + 3*f**4 - 238*f + 128*f**2 = 0.
-7/6, 0, 1, 2
Find k, given that -135/2*k - 17/4*k**2 + 0 + 1/4*k**3 = 0.
-10, 0, 27
Let u(x) be the third derivative of -x**5/105 - 169*x**4/7 - 171366*x**3/7 - 744*x**2. Find c, given that u(c) = 0.
-507
What is f in 19*f + 1/6*f**2 + 112/3 = 0?
-112, -2
Suppose -114*t - 303 + 887 = 32*t. Let a(p) be the second derivative of -4*p**3 + 0 - 6*p**2 - 3/20*p**5 - p - 5/4*p**t. Suppose a(b) = 0. What is b?
-2, -1
Let z(p) be the second derivative of -p**5/170 + 8*p**4/3 - 19028*p**3/51 + 71824*p**2/17 - 3810*p. Factor z(x).
-2*(x - 134)**2*(x - 4)/17
Suppose 1918*z - 6849 = -365*z. Suppose -1/2 - 1/4*r**z + 1/4*r + 1/2*r**2 = 0. Calculate r.
-1, 1, 2
Let s(j) be the third derivative of -4/3*j**3 - 2/35*j**7 + 0*j - 1/30*j**6 + 209*j**2 + 0 - 1/2*j**4 + 3/5*j**5. Determine g so that s(g) = 0.
-2, -1/3, 1
Let u(b) be the second derivative of 5*b**7/84 - 4*b**6/5 + 3*b**5/2 + 4*b**4/3 - 474*b. Suppose u(c) = 0. What is c?
-2/5, 0, 2, 8
Let r(o) = 3*o**2 - 2*o + 3. Let a be r(1). Suppose 2*y - u = -y + 11, 3*y - 26 = a*u. Factor 1 + d**2 + 4*d**y - 9 - 3*d**2.
2*(d - 2)*(d + 2)
Let h(t) be the second derivative of t**6/15 - 214*t**5/5 + 23111*t**4/3 - 30388*t**3 + 45369*t**2 + 5283*t - 2. Factor h(s).
2*(s - 213)**2*(s - 1)**2
Suppose w = 5*v - 76, 4*v + 2*w - 56 = -2*w. Let d(g) = -2*g + 32. Let t be d(v). Factor 3*x**2 + 4*x**2 + 0*x**2 - 6*x**2 - t*x + x**3.
x*(x - 1)*(x + 2)
Let z(d) be the first derivative of -4*d**4/3 + 68*d**3/3 - 116*d**2 + 704*d/3 - 1073. Suppose z(g) = 0. What is g?
2, 11/4, 8
Factor -231/8*o + 1 + 7/2*o**3 + 195/8*o**2.
(o - 1)*(o + 8)*(28*o - 1)/8
Let t = -304612 + 609227/2. Determine g so that 1/2*g**4 + t*g**2 + 0 + 0*g + 2*g**3 = 0.
-3, -1, 0
Let b be (-182)/(-60) + (-4)/((-8)/(-6)). Let x(t) be the third derivative of 5/28*t**4 + 0*t + 3/7*t**3 + 1/420*t**6 + b*t**5 - 15*t**2 + 0. Factor x(m).
2*(m + 1)*(m + 3)**2/7
Let h(d) = -d**2 - 14*d + 5. Let l(y) = 2*y - 7. Let u(k) = -h(k) - 2*l(k). Find s such that u(s) = 0.
-9, -1
Factor 0*o - 2/3*o**4 + 0*o**2 - 22/3*o**3 + 0.
-2*o**3*(o + 11)/3
Let r = 2290 - 339. What is z in -r + 1891 - 185*z - 6*z**2 - 9*z**2 = 0?
-12, -1/3
Let x(b) = -7*b - 27. Suppose -3*y + 2*g - 24 = 0, 8 = 2*y + 2*g + 24. Let m be x(y). What is j in -4*j**3 + m*j**3 - 762*j + 5*j**4 + 35*j**2 + 777*j = 0?
-3, -1, 0
Suppose 2*d - 108 = -5*r, -4*r - r = -4*d - 84. What is g in -3/5*g**d + 96/5*g - 21/5*g**3 - 18/5*g**2 + 96/5 = 0?
-