or z(x).
(x - 2)**3
Let u be ((-1)/(-4))/(-29 + (-3492)/(-120)). Suppose u*j**2 - 1/2*j**4 - 1/2*j**5 - 6 + 9/2*j**3 - 8*j = 0. What is j?
-3, -1, 2
Let l(x) = x + 5. Let t be l(-2). Find o such that 95*o**2 - 2*o**3 - 105*o**4 + 14*o**t - 83*o**2 = 0.
-2/7, 0, 2/5
Let h(k) = 17*k - 1. Let x be h(3). Suppose x*b - 50*b + 5 - 5*b**2 = 0. What is b?
-1, 1
Solve -47*l - 13*l - 11*l**2 + 8*l**2 - 57 = 0.
-19, -1
Let q(m) = 9*m**2 - 78*m + 138. Let l(z) = -19*z**2 + 158*z - 279. Let t(s) = 6*l(s) + 13*q(s). Factor t(j).
3*(j - 20)*(j - 2)
Suppose -2*z + 349 = -0*z - d, -3*z = -d - 525. Suppose 9*b - z - b**3 + 176 = 0. What is b?
-3, 0, 3
Solve -24/19*s**2 + 20/19*s**3 + 22/19 - 20/19*s + 2/19*s**4 = 0 for s.
-11, -1, 1
Let t = -210 - -210. Let y(d) be the third derivative of 3*d**2 + t*d - 1/18*d**4 + 0 + 2/9*d**3 + 1/180*d**6 + 1/630*d**7 - 1/60*d**5. Solve y(z) = 0.
-2, 1
Let g(u) be the first derivative of -13*u**4/2 + 4*u**3/3 + 13*u**2 - 4*u + 62. Factor g(f).
-2*(f - 1)*(f + 1)*(13*f - 2)
Let h = -2 - -7. Factor 4*y - h*y + 7*y + 9*y**2 - 3 + 4.
(3*y + 1)**2
Let t(r) be the first derivative of 2*r**3/3 + 8*r**2 - 66*r + 302. Solve t(k) = 0 for k.
-11, 3
Let f(n) be the second derivative of 5*n**4/48 + 2*n**3/3 + 11*n**2/8 + 81*n. Determine v, given that f(v) = 0.
-11/5, -1
Let q(t) be the first derivative of -t**5/30 - t**4/24 + t**3/6 + t**2/12 - t/3 - 123. Factor q(w).
-(w - 1)**2*(w + 1)*(w + 2)/6
Let h(d) = 8*d**4 + 41*d**3 - 127*d**2 - 256*d + 666. Let x(s) = s**4 + 5*s**3 - 16*s**2 - 32*s + 84. Let q(c) = 6*h(c) - 51*x(c). Factor q(k).
-3*(k - 3)*(k - 2)*(k + 4)**2
Suppose q - d = -3*q + 22, 4*q + d - 18 = 0. Suppose -q*o + 54 - 39 = 0. What is i in -1/5*i + 0*i**2 + 0 + 1/5*i**o = 0?
-1, 0, 1
Let w(i) = 2*i**2 - 48*i + 242. Let f be w(17). Find z such that -5/7*z**f + 5/7*z - 10/7*z**2 - 1/7 + 10/7*z**3 + 1/7*z**5 = 0.
1
Let w(r) be the second derivative of 1 - 1/3*r**4 + 0*r**3 + 2*r**2 + 6*r. Factor w(a).
-4*(a - 1)*(a + 1)
Let b(w) be the first derivative of 21 - 216*w + 32/5*w**5 - 162*w**2 + 16*w**4 + 2/3*w**6 - 24*w**3. Factor b(p).
4*(p - 2)*(p + 1)*(p + 3)**3
Factor 0 - 25/2*y**3 - 8*y + 20*y**2.
-y*(5*y - 4)**2/2
Suppose -4*x + 111 - 76 = 5*c, -5*c = -3*x. Let -n**2 - 55/6*n**c + 14/3*n + 4/3 + 25/6*n**4 = 0. What is n?
-2/5, 1, 2
Let l be -6*(1 - 12/8). Let n = 7 - l. Factor -12*r**2 + 3*r**3 - 46*r**n + 8*r + 50*r**4 - 3*r**3.
4*r*(r - 1)**2*(r + 2)
Let t = 4854 - 4850. Factor 0*g - 3/2*g**3 + 0*g**2 + 3/2*g**t + 0.
3*g**3*(g - 1)/2
Suppose 5*u - 82 = u - 2*y, -3*u = -5*y - 81. Let k be (-5 - (-42)/10)/(u/(-15)). Factor 2/11*i**2 + 4/11*i - k.
2*(i - 1)*(i + 3)/11
Let c be (1/(-2))/((-2)/52). Factor 23*w**4 - c*w + 45*w**2 + 3*w + w**4 - 60*w**3 + w**4.
5*w*(w - 1)**2*(5*w - 2)
Let c be -5*(17/102 + (-68)/120). Factor 0*r**3 - 5*r**4 - 5/2*r + 0 + 5*r**c + 5/2*r**5.
5*r*(r - 1)**3*(r + 1)/2
Let d(p) be the third derivative of 3*p**7/70 + p**6/5 - 3*p**5/20 - 3*p**4/2 + 2*p**3 + 663*p**2. Factor d(b).
3*(b - 1)*(b + 2)**2*(3*b - 1)
Let j be (-6)/15 - (-46)/(-10). Let k(f) = -f**2 - 6*f - 1. Let d be k(j). Factor 3*b**d + 2*b**4 - 4*b**4.
b**4
Let z be 15/(-2) + (-49)/(-6). Factor -2/3 - z*p**2 + 4/3*p.
-2*(p - 1)**2/3
Let q(h) = -h**2 - 39*h + 44. Let v be q(-40). Let p(j) be the second derivative of v*j - 1/6*j**2 + 0*j**4 + 1/12*j**3 - 1/120*j**5 + 0. Factor p(b).
-(b - 1)**2*(b + 2)/6
Factor 26*c - 21*c**2 + 3*c**4 - 7*c**3 - c - 6*c**3 - c**2 + 7*c**2.
c*(c - 5)*(c - 1)*(3*c + 5)
Let j(o) be the second derivative of -o**6/280 + 3*o**5/140 - 3*o**4/56 + o**3/14 - 5*o**2/2 - 18*o. Let r(z) be the first derivative of j(z). Factor r(k).
-3*(k - 1)**3/7
Let d(h) be the third derivative of h**7/490 - 17*h**6/70 + 543*h**5/70 + 85*h**4/2 + 175*h**3/2 + 412*h**2. Factor d(f).
3*(f - 35)**2*(f + 1)**2/7
Let l(r) be the first derivative of 2*r**4 - 6*r**2 - 2*r - 13. Let d(v) = -7*v**3 + 11*v + 1. Let y(t) = 6*d(t) + 5*l(t). Factor y(o).
-2*(o - 1)**2*(o + 2)
Suppose -4*d = -10*d + 12. Determine o, given that -10 - 13 + 4*o + 23 + 2*o**d = 0.
-2, 0
Let n = -2607433/4565 + 1093/415. Let r = -568 - n. What is f in 0 - 2/11*f + 6/11*f**2 + 2/11*f**4 - r*f**3 = 0?
0, 1
Let u be 1566/696 - (-2)/(-8). Factor -3/2*h**u + 9/2 + 3*h.
-3*(h - 3)*(h + 1)/2
Suppose 8*k - 10 + 2 = 0. Let s be -2 - (-5 + 1)*k. Factor 2/3*i**3 + 4/3*i + 2*i**s + 0.
2*i*(i + 1)*(i + 2)/3
Let z = 307 + -305. Find w, given that -1/4*w**z - 1/2 - 3/4*w = 0.
-2, -1
Determine y so that 107*y - 5*y**2 - 21125 + 372*y - 114*y + 285*y = 0.
65
Let j = -10889 - -10891. Factor 64/5*h + 12/5*h**j - 48/5.
4*(h + 6)*(3*h - 2)/5
Let b = 3 + -26/9. Let y(r) be the first derivative of 1/6*r**4 + 0*r + 1/5*r**5 + 0*r**2 + 1 - b*r**3. Determine h so that y(h) = 0.
-1, 0, 1/3
Let g(b) = -11*b**3 + 34*b**2 - 26*b + 1. Let h(i) = i**4 + i**2 + i - 1. Let o(p) = g(p) + h(p). Factor o(a).
a*(a - 5)**2*(a - 1)
Let z = -295 - -298. Let j(g) be the first derivative of 1/9*g**6 - 1/8*g**4 + 10 - 1/12*g**2 - 5/18*g**z + 0*g + 1/6*g**5. Let j(s) = 0. What is s?
-1, -1/4, 0, 1
Let r = 4177/6 + -696. Factor -1/3*n**2 - r*n**3 + 0*n + 0.
-n**2*(n + 2)/6
Factor -104*c**2 - 107*c**2 - 21*c + 210*c**2.
-c*(c + 21)
Let r(c) be the third derivative of -c**7/840 - 7*c**6/480 - 3*c**5/40 - 5*c**4/24 - c**3/3 + 61*c**2. Factor r(a).
-(a + 1)*(a + 2)**3/4
Let b(v) be the first derivative of 11*v**3/7 + 30*v**2/7 - 12*v/7 + 218. What is m in b(m) = 0?
-2, 2/11
Factor 0 + 1/4*d**4 - 4*d - 2*d**3 + 5*d**2.
d*(d - 4)*(d - 2)**2/4
Let d(z) = 20*z**2 + 1296*z + 21780. Let a(m) = 4*m**2 + 259*m + 4356. Let v(j) = 24*a(j) - 5*d(j). Solve v(x) = 0 for x.
-33
Let h(t) be the third derivative of -t**6/540 + t**5/90 + t**4/108 - t**3/9 + 3*t**2 - 4. Suppose h(v) = 0. Calculate v.
-1, 1, 3
Solve -4*k - 18 + 55 - 8*k**2 - 12 - 17 + 4*k**3 = 0 for k.
-1, 1, 2
Suppose 340 = 47*p + 199. Factor 12/5*t**2 - 3/5*t + 0 - 9/5*t**p.
-3*t*(t - 1)*(3*t - 1)/5
Let a = 1401 - 1401. Let s(h) be the first derivative of -1 - 6*h**2 + 4/3*h**3 + a*h. Find z, given that s(z) = 0.
0, 3
Let i(r) be the third derivative of 0*r**3 + 0*r**4 - 1/240*r**5 + 0 + 1/480*r**6 - 6*r**2 + 0*r. Solve i(z) = 0 for z.
0, 1
Let w(g) be the second derivative of -2*g**7/21 - 7*g**6/30 + 9*g**5/10 + g**4/3 - 7*g**3/3 + 3*g**2/2 - 11*g + 26. Let w(z) = 0. What is z?
-3, -1, 1/4, 1
Let n(y) be the first derivative of -y**8/756 + y**6/270 + 13*y**2 + 6. Let x(c) be the second derivative of n(c). Find j, given that x(j) = 0.
-1, 0, 1
Let s(k) be the second derivative of 1/6*k**3 - 1/5*k**5 - k + 0*k**2 + 1/12*k**6 + 1/24*k**4 - 29. Factor s(l).
l*(l - 1)**2*(5*l + 2)/2
Let m be ((-66)/21 + 2)/((-2210)/595). Factor 2/13 + m*i + 2/13*i**2.
2*(i + 1)**2/13
Let c(q) = -1 + 5*q + 21*q + 3 + q**2 - 8. Let d(a) = a**2 + a - 1. Let j(n) = -c(n) + 6*d(n). Solve j(z) = 0.
0, 4
Suppose 0 = 3*f + 2*f + 50. Let x = f + 13. Solve -125*m**4 - 45 - 21*m**x - 45*m**3 + 60*m - 29*m**3 + 130*m**2 - 5*m**3 = 0.
-1, 3/5
Let g(j) be the third derivative of j**6/540 + j**5/180 + j**3/2 + 5*j**2. Let z(x) be the first derivative of g(x). Factor z(i).
2*i*(i + 1)/3
Let n = 27 - 25. Suppose -17*r**n - 2*r**2 + 36*r + 16*r**4 - 8 - 25*r**2 = 0. Calculate r.
-2, 1/2, 1
Let y be ((-9130)/(-88))/(-83) - 117/(-68). Factor -y*k - 4/17*k**2 + 16/17 + 2/17*k**3.
2*(k - 2)**2*(k + 2)/17
Let b(c) = -4*c**3 + 6*c**2 - 9*c + 8. Suppose 0 = -5*f + f - 40. Let h(r) = 7*r**3 - 12*r**2 + 19*r - 16. Let y(p) = f*b(p) - 6*h(p). Let y(g) = 0. What is g?
2
Suppose 3*s + y + 3 = -2*y, -5*s - 3*y = 3. Suppose 2*i = -s*i + 22. Solve -5*k**2 - i + 3*k**3 - 1 + 8*k**2 - 12*k = 0.
-2, -1, 2
Let g(l) be the third derivative of l**6/840 + 4*l**5/105 - 5*l**4/24 + 3*l**3/7 + 45*l**2 + 1. Determine m, given that g(m) = 0.
-18, 1
Let v(m) be the first derivative of -3*m**5/5 - 27*m**4/4 - 25*m**3 - 81*m**2/2 - 30*m - 175. Factor v(i).
-3*(i + 1)**2*(i + 2)*(i + 5)
Let u = 201 - 216. Let r be (-10)/u - 44/(-33). Solve -4/3*g + 0 - 10/3*g**r + 14/3*g**3 = 0.
-2/7, 0, 1
Let b = 17147/10472 + -1/952. Factor 16/11 + 2/11*v**2 - b*v.
2*(v - 8)*(v - 1)/11
Determine i, given that -58/11*i**2 - 10*i - 54/11 - 2/11*i**3 = 0.
-27, -1
Let q(i) be the second derivative of 3*i**4/20 + i**3/2 - 12*i**2/5 + 79*i. Factor q(s).