 1/2*z**4 - 11 + 3*z**2 + 0*z**3. Find i such that h(i) = 0.
-1, 2
Let m(q) be the third derivative of 5*q**8/336 + 2*q**7/21 - q**6/12 - 2*q**5/3 + 5*q**4/24 + 10*q**3/3 + 39*q**2. Let m(g) = 0. Calculate g.
-4, -1, 1
Suppose -y = -4*y. Suppose y = x - 8 + 3. Factor -c**x + c**4 - 2*c**2 - c**3 + 5*c**3 + c**2 - 3*c**3.
-c**2*(c - 1)**2*(c + 1)
Determine g, given that 2*g - 3/5*g**4 + 0 - 3/5*g**2 - 16/5*g**3 = 0.
-5, -1, 0, 2/3
Suppose 40*v - 4359 = -359. Let d(o) be the first derivative of 40*o**2 + v*o + 8 + 16/3*o**3. Factor d(z).
4*(2*z + 5)**2
Let n(r) = 15*r**2 - 16*r + 8. Let s(l) = -1 + 7*l - 3 - 6*l**2 + l - l**2. Let q = 15 + -24. Let g(y) = q*s(y) - 4*n(y). Factor g(c).
(c - 2)*(3*c - 2)
Factor 104/19*c + 2/19*c**2 - 106/19.
2*(c - 1)*(c + 53)/19
Let j be (174/21 - 2)*56/16. Suppose 0 = 13*g - 11*g + j*g. Determine d, given that g - 2/9*d**2 - 4/9*d = 0.
-2, 0
Let j(l) be the second derivative of 0*l**2 + 0 + l**3 - 10*l + 1/1620*l**6 + 1/108*l**4 - 1/270*l**5. Let x(c) be the second derivative of j(c). Factor x(t).
2*(t - 1)**2/9
Let s = -761 - -3053/4. Suppose -3/2*a - s*a**2 - 1/4 - a**3 = 0. Calculate a.
-1, -1/4
Let x(j) = -2*j**4 - j**3 + j**2 + 3*j. Let h(t) = -t**4 + 286*t**3 - 9208*t**2 + 106668*t - 178746. Let i(k) = h(k) + x(k). Factor i(d).
-3*(d - 31)**3*(d - 2)
Let a(l) be the second derivative of -1/22*l**4 + 0*l**2 - 7*l + 0 + 3/110*l**5 + 1/33*l**3 - 1/165*l**6. Solve a(x) = 0 for x.
0, 1
Let v be ((-92)/(-138))/(1/3). Let j(p) be the first derivative of 1/9*p**v - 2 + 0*p - 4/27*p**3 + 1/18*p**4. Determine z, given that j(z) = 0.
0, 1
Let h(f) be the third derivative of -1/35*f**7 - 10*f**2 + 1/30*f**6 + 1/168*f**8 + 1/15*f**5 - 1/4*f**4 + 0*f + 0 + 1/3*f**3. Factor h(o).
2*(o - 1)**4*(o + 1)
Factor 10*q + 46/3*q**2 + 0 + 11/2*q**3 + 1/6*q**4.
q*(q + 1)*(q + 2)*(q + 30)/6
Let q be (((-180)/(-8))/9)/((-1)/(-2)). Suppose 0 = q*j + 4 - 4. Factor 4/3*u + 10/3*u**2 + j.
2*u*(5*u + 2)/3
Let s(c) be the second derivative of -2*c - 1/10*c**5 + 1/6*c**3 - 1/10*c**6 + 0 + 1/2*c**4 + 1/42*c**7 - 3/2*c**2. Factor s(v).
(v - 3)*(v - 1)**2*(v + 1)**2
Let n(c) be the third derivative of -20*c**7/21 + 89*c**6/12 + 93*c**5/10 - 4*c**4/3 - 20*c**3/3 + 348*c**2. Determine a so that n(a) = 0.
-2/5, 1/4, 5
Let r = -45 - -40. Let b(t) = 2*t**2 + 7*t + 21. Let j(a) = 2*a**2 + 6*a + 22. Let k(n) = r*j(n) + 6*b(n). Factor k(i).
2*(i + 2)*(i + 4)
Let c = 33 - 33. Suppose 0 = -2*u - c*u - 4*p, -u - 3*p = 1. Let 4*x + 5*x**3 - 6*x + 9*x - 5 - 15*x**u + 8*x = 0. Calculate x.
1
Let t(q) be the second derivative of 1/6*q**4 + 0 - 1/10*q**5 - 3*q - q**2 + 1/3*q**3. Factor t(y).
-2*(y - 1)**2*(y + 1)
Solve 162/17 - 2*n**2 - 2/17*n**3 - 126/17*n = 0.
-9, 1
Factor 96*c - 33*c**3 - 14*c**4 + 60*c**2 - 2*c**4 - 5*c**4 + 24*c**4.
3*c*(c - 8)*(c - 4)*(c + 1)
Let c(r) = -3*r - 1. Let z(p) = -p**2 - 98*p + 2. Let j(q) = -2*c(q) - z(q). Solve j(o) = 0 for o.
-104, 0
Let i(u) be the third derivative of u**7/42 - 11*u**6/24 + 37*u**5/12 - 75*u**4/8 + 15*u**3 - 12*u**2 - 2. Factor i(w).
5*(w - 6)*(w - 3)*(w - 1)**2
What is o in -4/7*o**4 + 2/7*o**5 + 6/7*o + 4/7*o**2 + 0 - 8/7*o**3 = 0?
-1, 0, 1, 3
Suppose 0 = 5*a - 20, 0*a + 11 = n + a. Suppose n*x = 2*x + 15. Factor 0*q + 2*q**x + 3 + 1 + 6*q - 4*q**3.
-2*(q - 2)*(q + 1)**2
Factor -2/7*f - 40/7 + 40/7*f**2 + 2/7*f**3.
2*(f - 1)*(f + 1)*(f + 20)/7
Let t(k) be the first derivative of k**6 - 28*k**5/5 + 8*k**4 - 4*k**3/3 - 3*k**2 + 91. Let t(w) = 0. What is w?
-1/3, 0, 1, 3
Let y(z) be the first derivative of -2*z**5/55 + 5*z**4/22 - 16*z**3/33 + 4*z**2/11 - 150. Factor y(d).
-2*d*(d - 2)**2*(d - 1)/11
Let k(r) = 3*r**4 + 3*r**3 - r**2 - 23*r + 10. Let u(o) = 7*o**4 + 5*o**3 - 3*o**2 - 46*o + 19. Let s(m) = -9*k(m) + 4*u(m). Suppose s(w) = 0. What is w?
-2, 1, 7
Let j be ((-108)/180)/(1 + (-6)/5). Factor 0 - 1/2*v**2 - 1/2*v**5 + 0*v + 1/2*v**4 + 1/2*v**j.
-v**2*(v - 1)**2*(v + 1)/2
Suppose -61*g + 41 = 2*i - 56*g, -2*i + g - 1 = 0. Factor -16/3*d**i + 0 - 1/3*d - 8/3*d**2.
-d*(4*d + 1)**2/3
Let f = 820/9 + -3271/36. Solve f*o + o**3 - o**2 + 0 = 0.
0, 1/2
Let w(d) be the third derivative of -3*d**6/10 - 161*d**5/20 - 63*d**4/8 + 13*d**3 - 277*d**2. Determine x, given that w(x) = 0.
-13, -2/3, 1/4
Factor -8/7*g**3 + 8*g**4 + 0*g**2 - 14*g**5 + 0 + 0*g.
-2*g**3*(7*g - 2)**2/7
Factor -2/11*s**3 + 0 - 12/11*s**4 + 48/11*s**2 - 32/11*s - 2/11*s**5.
-2*s*(s - 1)**2*(s + 4)**2/11
Let x(y) be the second derivative of y**4/90 - 20*y**3/9 + 33*y**2/5 + 398*y. Determine w so that x(w) = 0.
1, 99
Let a be 5 + -1 + (-2 - -2). Let f be 2/a*(87 - 5). Factor 14*d**3 - 13*d + 57*d + f*d**3 + 45*d**3 + 140*d**2 + 4.
4*(d + 1)*(5*d + 1)**2
Let d(s) = -26*s - 35. Let a be d(-7). Solve -a*l**2 - 15 + 126*l + 18 - 30 = 0.
3/7
Let j be 3261/((-9)/(-7) + 2/(-7)). Find z, given that 2*z**2 - 2*z**2 + 3269*z**3 - j*z**3 + 4*z**4 + 4*z**2 = 0.
-1, 0
Let l be ((-4)/(-8))/((-3)/6). Let m(f) = -f**4 + f**3 - 1. Let j(t) = t**4 + 4*t**3 - 3. Let o(u) = l*j(u) + 3*m(u). Factor o(z).
-z**3*(4*z + 1)
Let r be (-3)/((0 - (-2)/8) + -1). What is y in -9*y**2 - 12 + 29*y**4 + 2*y - 26*y**r + 22*y - 6*y**3 = 0?
-2, 1, 2
Factor 31*k**5 - 7*k**3 + k + 5*k**3 - 30*k**5.
k*(k - 1)**2*(k + 1)**2
Let t(z) = -21*z**3 + 69*z**2 - 80*z - 13. Let k(f) = -5*f**3 + 17*f**2 - 20*f - 3. Let a(u) = -26*k(u) + 6*t(u). Find i, given that a(i) = 0.
0, 2, 5
Factor 2*f**4 - 3*f**4 + 26*f - 41*f**2 - 4*f - 18 + 13*f**3 + 25*f.
-(f - 9)*(f - 2)*(f - 1)**2
Factor -1/4*c**5 - 2 - 1/4*c**3 - 17/4*c**2 + 5/4*c**4 + 11/2*c.
-(c - 4)*(c - 1)**3*(c + 2)/4
Suppose 47*p + 6 = 53*p. Let l(f) be the first derivative of 1/6*f**2 - 1/12*f**4 + 2/3*f - p - 2/9*f**3. Factor l(x).
-(x - 1)*(x + 1)*(x + 2)/3
Let s(o) be the third derivative of o**9/24192 - o**8/6720 + o**7/6720 - 2*o**3 - 26*o**2. Let f(v) be the first derivative of s(v). Find k such that f(k) = 0.
0, 1
Let d(k) be the first derivative of 7*k**4/9 + 1192*k**3/27 + 2170*k**2/3 + 784*k + 205. Find w, given that d(w) = 0.
-21, -4/7
Let l(n) be the first derivative of -1/2*n**2 + 2*n - 5 + 15/4*n**4 - 16/3*n**3. Suppose l(h) = 0. What is h?
-1/3, 2/5, 1
Let a(v) be the first derivative of v**3/9 - 5*v**2 - 31*v/3 + 222. Factor a(p).
(p - 31)*(p + 1)/3
Suppose 11*r - 65 = 6*r. Solve -215*t**5 - 70*t**3 - 3 + 80*t**2 + 210*t**5 + 30*t**4 + r - 45*t = 0 for t.
1, 2
Let h(i) be the first derivative of -i**7/3360 - i**6/720 + i**5/160 - i**3/3 + 12. Let r(x) be the third derivative of h(x). Find w, given that r(w) = 0.
-3, 0, 1
Suppose -58*c = -45*c - 117. Let m(j) be the second derivative of -4/5*j**2 + 1/15*j**4 - c*j + 2/15*j**3 + 0. Solve m(n) = 0.
-2, 1
Let p = -2944 - -2946. Let z = 4 - 4. Let -2/7*n**p + z - 2/7*n = 0. Calculate n.
-1, 0
Let n be 4*(0 + 1) + -1. Find h such that 16/15 + 12/5*h**2 + 2/15*h**4 - 8/3*h - 14/15*h**n = 0.
1, 2
Let k(u) = -5*u + 4. Let n(o) = -4*o + 5. Let z(x) = -5*k(x) + 6*n(x). Let t be z(-7). Solve -4*q**2 - 1 + 12*q - 2*q**t + 5 + q**3 - 11*q**3 = 0 for q.
-1, -1/3, 1
Let k(r) be the first derivative of 0*r + 3/4*r**4 - 11 + 0*r**3 - 3/2*r**2. Solve k(f) = 0.
-1, 0, 1
Suppose -2*i + 1 = 5*s, 4*i + 6 = 4*s + 22. Suppose 3*p - z - 27 + 7 = 0, 5*p = z + 30. Factor 4*q**2 - q**3 + 0*q**i - p*q**2.
-q**2*(q + 1)
Let f(b) be the first derivative of 1/51*b**6 + 0*b + 2/85*b**5 + 18 + 0*b**4 + 0*b**2 + 0*b**3. Factor f(q).
2*q**4*(q + 1)/17
Let z(f) be the first derivative of 2*f**5/5 - f**4 - 10*f**3 - 4*f**2 + 40*f + 624. Find h, given that z(h) = 0.
-2, 1, 5
Let p(n) be the third derivative of n**5/90 - n**4/18 - n**3/3 - n**2 + 28*n. Factor p(t).
2*(t - 3)*(t + 1)/3
Let c = 197 + -194. Let z = -127/4 - -34. Factor -3/2*q - z*q**2 + 0 - 3/4*q**c.
-3*q*(q + 1)*(q + 2)/4
Let c be (4/8)/(12/144) + (2 - 4). Suppose -1280/3*y + 1024/3 + 20/3*y**c + 640/3*y**2 - 1/3*y**5 - 160/3*y**3 = 0. What is y?
4
Let q(z) be the first derivative of -z**4/6 + 34*z**3/9 - 16*z**2/3 + 324. Solve q(i) = 0 for i.
0, 1, 16
Let o = -58 - -39. Let q(u) = 3*u + 60. Let d be q(o). Find n, given that 0*n - 1/2*n**2 + 1/2*n**d + 0 = 0.
0, 1
Let l(r) be the first derivative of r**6/39 - 4*r**5/65 - 2*r**4/13 + 4*r**3/39 + 3*r**2/13 - 79. Let l(f) = 0. What is f?
-1, 0, 1, 3
Let s(m) be the first derivative of 2*m**5/