.
-11, 1
Let r(s) = 6*s - 3. Let h be r(-5). Let g = -31 - h. Solve 0 + 1/2*c**g + 1/4*c - c**3 - 1/2*c**4 + 3/4*c**5 = 0.
-1, -1/3, 0, 1
Let s be (-1)/(5/(-5))*-3. Let p be (-10)/(-12)*s + 6/2. Factor -9/4*g + 3*g**4 - p + g**3 - 5/2*g**2 + 5/4*g**5.
(g - 1)*(g + 1)**3*(5*g + 2)/4
Let i(v) be the second derivative of v**4/6 + 68*v**3/3 + 1156*v**2 - 123*v. Factor i(d).
2*(d + 34)**2
Let o(p) be the third derivative of -p**6/240 - 153*p**5/40 - 23409*p**4/16 - 1193859*p**3/4 + 928*p**2. Factor o(l).
-(l + 153)**3/2
Let r = 1601 - 1599. Suppose 0 - 2/3*c**3 + 2/3*c - 2/3*c**r + 2/3*c**4 = 0. What is c?
-1, 0, 1
Let p be (-5)/2*16/(-20). Let w be 35/10 + (-3)/p. Let 3*b**w + 7*b**2 + 3 - 4 - b**2 = 0. What is b?
-1/3, 1/3
Let 51/4*y**3 + 0*y**2 + 3/4*y**5 + 27/2*y**4 + 0 + 0*y = 0. Calculate y.
-17, -1, 0
Let p(o) be the third derivative of o**7/210 - 63*o**6/10 + 35721*o**5/10 - 2250423*o**4/2 + 425329947*o**3/2 + 12*o**2 - 3. Factor p(m).
(m - 189)**4
Let z = -28/3 - -197/21. Let v(t) be the third derivative of 0*t**5 + 1/210*t**6 - t**2 - 1/42*t**4 - z*t**3 + 1/735*t**7 + 0*t + 0. Factor v(b).
2*(b - 1)*(b + 1)**3/7
Let g be (1 - (-471)/(-12)) + (-7)/28. Let z = -37 - g. Factor -z*p + 0 + 1/2*p**2.
p*(p - 3)/2
Let g = -16 + 19. Let n be g/(3*(-3)/(-6)). Determine x so that -5*x**2 + 5*x**2 + 0*x**n - x**4 = 0.
0
Suppose -3*n + 0 = -9. Let -3*v + 8*v**n + 5*v - 10*v**3 = 0. Calculate v.
-1, 0, 1
Factor -70 + 144*h - 64 - 4*h**2 - 6.
-4*(h - 35)*(h - 1)
Let f(j) be the second derivative of j**5/10 - j**4/3 - 3*j**3 + 18*j**2 + 2*j + 57. Let f(u) = 0. What is u?
-3, 2, 3
Let h(a) be the second derivative of 3*a**5/160 - a**4/8 - 5*a**3/16 - 24*a + 1. Factor h(g).
3*g*(g - 5)*(g + 1)/8
Determine w, given that -13/9*w**3 - 4/3*w**2 + 0 - 1/9*w**5 - 4/9*w - 2/3*w**4 = 0.
-2, -1, 0
Suppose -22*u + 582 + 5622 = 0. Let l = -838/3 + u. What is t in -l + 28/3*t - 22/3*t**2 + 5/3*t**3 = 0?
2/5, 2
Determine b, given that 99*b**2 - 33*b**3 - 150 - 38*b**4 - 15*b - 34*b**4 - 32*b**4 + 107*b**4 = 0.
-1, 2, 5
Let 482/11*t**2 + 2/11*t**4 + 2592/11 - 52/11*t**3 - 1872/11*t = 0. Calculate t.
4, 9
Let h(k) be the second derivative of -3*k**5/20 + 53*k**4/4 - 103*k**3/2 + 153*k**2/2 - 26*k - 4. Factor h(p).
-3*(p - 51)*(p - 1)**2
Let s(g) = 52*g**2 - 174*g + 135. Let b(u) = -u**2 + 2*u + 3. Let t(m) = -6*b(m) - 2*s(m). Factor t(d).
-2*(7*d - 12)**2
Let w be 0 + 0 - (7 + (-215)/30). Let p(z) be the second derivative of w*z**4 + 3*z + 0*z**3 - 1/10*z**5 + 0 + 0*z**2. Suppose p(l) = 0. Calculate l.
0, 1
Let l(s) be the first derivative of 4*s**3/21 - 2*s**2 + 40*s/7 + 22. Determine h, given that l(h) = 0.
2, 5
Let a(b) = 2*b**2 + 31*b - 40. Let j be a(-17). Let p be j/(-275)*(-2 + 3/(-6)). Let 0 + 1/10*m**2 - p*m = 0. What is m?
0, 1
Factor 4/5*v + 2/5*v**3 + 6/5*v**2 + 0.
2*v*(v + 1)*(v + 2)/5
Suppose 6*p - 2 = 5*p. Suppose 0 = 3*c + p*c - 15. Suppose -9*y**3 + 7*y**c + 2*y**5 + 4*y**2 + 8*y**4 + 12*y**3 = 0. What is y?
-2, -1, 0
Let n(w) be the second derivative of -1/16*w**4 - 3/2*w**2 - 3*w + 0 + 1/2*w**3. Factor n(i).
-3*(i - 2)**2/4
Let x be (-6)/(-15) + (-23)/(-5). Suppose x*m**3 - m**5 - 3*m**5 - m**3 = 0. What is m?
-1, 0, 1
Find m, given that -18/5*m**4 - 58/5*m**3 - 36/5*m - 78/5*m**2 - 2/5*m**5 + 0 = 0.
-3, -2, -1, 0
Let l(z) = -z**4 + z**3 + z**2. Let t(u) = -5*u**4 - 11*u**3 - 35*u**2 - 22*u. Let i(a) = -14*l(a) + 2*t(a). Factor i(h).
4*h*(h - 11)*(h + 1)**2
Let s(k) = -k**2 - 1. Let c(v) = 5*v**2 + 6*v + 5. Suppose d = -4*d - 5. Suppose -5*h - 6 = 4. Let p(a) = d*c(a) + h*s(a). Suppose p(f) = 0. Calculate f.
-1
Let s = -1929/2 + 965. Let d(u) be the third derivative of 10*u**2 + 0 - 1/70*u**7 + 1/10*u**5 - s*u**3 + 0*u + 1/20*u**6 - 1/112*u**8 - 1/8*u**4. Factor d(q).
-3*(q - 1)**2*(q + 1)**3
Solve 60*t - 3*t**2 + 2*t**5 - 2*t**2 + 3*t**5 + 22 - 35*t**3 + 18 - 5*t**2 = 0.
-2, -1, 2
Let b(r) = 31*r**3 + 1550*r**2 - 1052*r + 186. Let o(n) = -94*n**3 - 4652*n**2 + 3156*n - 556. Let g(z) = -14*b(z) - 5*o(z). Solve g(w) = 0.
-44, 1/3
Suppose -11*q + 18 = -2*q. Factor 2*f**q + 1 - 5 + 0 + 2*f + 0*f**2.
2*(f - 1)*(f + 2)
Let t = -5 - -7. Suppose -5*n + 20 = t*p, 5*n = -3*p + 13 + 7. Find z such that 0 - 3/5*z**2 + p*z**3 + 0*z + 3/5*z**4 = 0.
-1, 0, 1
Let a = -22 - -22. What is s in 4*s**4 + 2*s**4 - 11*s**2 + 2*s**5 + 3*s**2 + a*s**4 = 0?
-2, 0, 1
Suppose 17*f**4 - 107*f**2 - 56 - 10*f**3 + 138*f + 34*f**3 - 15*f**4 - f**4 = 0. Calculate f.
-28, 1, 2
Let a(g) = 44*g**2 + 2*g - 2. Let h be a(1). Let -15 + 5*l**2 + 0 + 1 - h*l - 11*l**2 = 0. What is l?
-7, -1/3
Suppose 0*m - 3*m - 4*x = -21, -2*x + 3 = -m. Factor 0*j - 2/7 - 2/7*j**4 + 0*j**m + 4/7*j**2.
-2*(j - 1)**2*(j + 1)**2/7
Factor -18/7*n**2 + 2/7*n**3 - 54/7 + 54/7*n.
2*(n - 3)**3/7
Let h(v) be the second derivative of v**6/80 - 27*v**5/40 + 81*v**4/8 + 2*v + 1. Let h(q) = 0. What is q?
0, 18
Let o(m) be the third derivative of -1/6*m**4 + 13*m**2 + 0 + 0*m - 4/15*m**3 - 4/525*m**7 + 4/75*m**5 - 1/84*m**8 + 1/15*m**6. Solve o(h) = 0.
-1, -2/5, 1
Suppose 28*h**3 + 0 + 2/3*h**5 - 86/3*h + 88/3*h**4 - 88/3*h**2 = 0. Calculate h.
-43, -1, 0, 1
Let j be 6*(116/12 + -9). Factor -2/7*l**5 + 0*l**2 + 0*l**j + 2/7*l**3 + 0 + 0*l.
-2*l**3*(l - 1)*(l + 1)/7
Let o(d) = d - 1. Let q be (-1)/(2*(-2)/12). Let h be o(q). Factor -1 - 25*g**4 + 31*g - 3*g - 69*g**h + 70*g**3 - 3.
-(g - 1)**2*(5*g - 2)**2
Let a be 11324/(-2280) + 4 + -1 + 2. Let p(d) be the third derivative of 0*d**3 - a*d**5 + 0*d**4 + 0 + 1/120*d**6 + 0*d - 3*d**2. What is l in p(l) = 0?
0, 2
Let -63/4 + 15/2*o - 1/4*o**4 + 1/2*o**3 + 8*o**2 = 0. What is o?
-3, 1, 7
Let m(k) be the first derivative of k**6/42 + 4*k**5/35 + k**4/7 - 2*k**3/21 - 5*k**2/14 - 2*k/7 + 68. Let m(d) = 0. Calculate d.
-2, -1, 1
Suppose 0 = -98*x + 30*x + 5600 + 520. Suppose -54 - 15*g**3 - 3/2*g**4 + x*g - 39/2*g**2 = 0. What is g?
-6, 1
Let f(s) be the third derivative of s**6/210 - s**5/70 - s**4/28 + 2*s**3/21 - 41*s**2. Factor f(z).
2*(z - 2)*(z + 1)*(2*z - 1)/7
Factor 4/13*f**4 + 64/13*f**2 - 2/13*f**5 + 46/13*f + 12/13 + 36/13*f**3.
-2*(f - 6)*(f + 1)**4/13
Let v = 111/428 - 1/107. Factor v*r**5 - 1/4*r + 0*r**3 - 1/2*r**4 + 1/2*r**2 + 0.
r*(r - 1)**3*(r + 1)/4
Let s(t) be the third derivative of 0*t**3 + 2*t**2 + 1/9*t**4 + 0 + 0*t + 1/180*t**6 + 1/18*t**5. Suppose s(n) = 0. Calculate n.
-4, -1, 0
Solve 0*r**3 - 24*r**3 - 112*r + 60 + 16*r**3 + 60*r**2 = 0.
1, 3/2, 5
Let y(i) be the first derivative of -4*i**5/45 + i**4/3 + 32*i**3/27 - 8*i**2/3 - 64*i/9 + 169. Suppose y(w) = 0. Calculate w.
-2, -1, 2, 4
Suppose y + 8 = 13. Suppose 0 = -2*k + 4. What is r in 0*r**3 + 3*r**5 - 5*r**y + k*r**3 + 0*r**5 = 0?
-1, 0, 1
Let f(c) be the second derivative of c**5/40 - 5*c**4/24 - c**3/12 + 5*c**2/4 - 93*c. Find v such that f(v) = 0.
-1, 1, 5
Let p(w) be the second derivative of -2/39*w**3 - 9/130*w**5 + 11*w + 3/26*w**4 + 0*w**2 + 0. Factor p(i).
-2*i*(3*i - 2)*(3*i - 1)/13
Let v(u) be the third derivative of 0 - 1/30*u**5 + 2/3*u**4 + 0*u**3 - 32*u**2 + 0*u. Solve v(q) = 0.
0, 8
Let t(b) = -b**2 + 5*b - 16. Let u(o) = 2*o**2 - 2*o + 61 - 9*o - 29. Let r(q) = -10*t(q) - 6*u(q). Suppose r(y) = 0. Calculate y.
4
Let v(r) be the first derivative of -3*r**4/4 - 3*r**3 + 12*r + 104. Factor v(i).
-3*(i - 1)*(i + 2)**2
Let c be (-30)/(-1 - 5/(-15)). Solve 562*i**5 + 160*i**3 - c*i**4 - 56*i - 280*i**2 - 557*i**5 + 296*i - 80 = 0.
1, 2
Let n be -11 + 11 + 9 + 5/(-1). Factor -4*o - 13/3*o**2 - 4/3 - 2*o**3 - 1/3*o**n.
-(o + 1)**2*(o + 2)**2/3
Let s(o) = 7*o**2 + 8*o + 22. Let i(k) be the third derivative of -k**5/10 - k**4/3 - 7*k**3/2 - 12*k**2. Let g(a) = -6*i(a) - 5*s(a). Factor g(w).
(w + 4)**2
Determine q, given that -44*q - 24*q**2 + 13*q**2 + 4*q**2 - 6 + 5*q**2 - 74 = 0.
-20, -2
Let u(l) = -3*l**3 - 6*l**2 + 21*l + 47. Let q be u(-2). Let o(c) be the first derivative of c**3 + 2*c**4 + 0*c + 3/5*c**q + 6 - c**2. Solve o(j) = 0.
-2, -1, 0, 1/3
Let d(a) = 10*a**2 + 6*a + 12. Let p be d(-4). Let n = p - 148. Determine t, given that n + 7/3*t**2 - 2/3*t = 0.
0, 2/7
Let c(s) = s**3 - 10*s**2 + 17*s + 1. Let d be c(8). Let b = -5 + d. Let f**5 + 0*f**4 - 3*f**b - 3*f**5 + f**4 = 0. Calculate f.
-1, 0
Let c be 2/(-6)*-1*0/(2 - -9). Let -2/9*z**4 + c + 0*z + 2/9*z**3 + 2/9*z**2 - 2