q) = 0.
-1, 6
Let j(w) be the second derivative of -31/3*w**4 + 32/3*w**3 + 8*w**2 + 11/5*w**5 + 0 + 15*w. Suppose j(a) = 0. Calculate a.
-2/11, 1, 2
Suppose -129*w**5 + 3*w**5 + 1060*w**2 - 170*w**5 - 980*w**4 + w**5 + 50*w**5 - 20*w + 265*w**3 - 80 = 0. Calculate w.
-4, -1, -2/7, 2/7, 1
Let n be 42/21 - 9/12. Let n*t**4 - 7/4*t - 1/2 + 7/4*t**3 - 3/4*t**2 = 0. What is t?
-1, -2/5, 1
Let u be -1 - (-65)/15 - 2. Let a be 1 - -1*(3 - 2). Factor 10/3*z**a - 22/3*z + u.
2*(z - 2)*(5*z - 1)/3
Suppose 4*a = 3*a + 3. Suppose -6 = a*k - 5*k. Factor -k*z**3 - z**2 - 5*z**3 + 2*z**3 - 2*z**2 - 3*z**4.
-3*z**2*(z + 1)**2
Let c = -5818/87 + 1949/29. Factor 0 + c*x**2 + 2/3*x - 1/3*x**3.
-x*(x - 2)*(x + 1)/3
Let v be ((-84)/(-98))/((-4)/(-14)). Factor -2*n**4 + 6*n**2 - 6*n**3 + 6*n**v + 5*n**3 + n**4.
-n**2*(n - 6)*(n + 1)
Let k(r) = 6*r**4 + 29*r**3 + 103*r**2 - 7*r - 7. Let p(h) = 7*h**4 + 29*h**3 + 104*h**2 - 8*h - 8. Let b(a) = -8*k(a) + 7*p(a). Find f, given that b(f) = 0.
-3, 0, 32
Let c = 118 - 114. Let f(s) be the second derivative of -1/4*s**c + 0 - 24*s**2 - 2*s + 4*s**3. Factor f(d).
-3*(d - 4)**2
Let u = 101/132 - 5/132. Determine i so that -8/11*i + 0 + 6/11*i**3 + u*i**2 - 2/11*i**5 - 4/11*i**4 = 0.
-2, 0, 1
Let n(w) be the first derivative of -5/4*w**2 - 19 + 5/18*w**3 + 0*w. Factor n(h).
5*h*(h - 3)/6
Let c = -219 + 221. Let 0*s - 1/3*s**c - 2/3*s**3 + 0 = 0. Calculate s.
-1/2, 0
Let p be 1/(-3)*1872/(-130). Determine s so that p + 4*s - 4/5*s**2 = 0.
-1, 6
Let j(l) be the third derivative of 7*l**6/160 + 29*l**5/5 + 7755*l**4/32 + 1089*l**3/4 - 12*l**2. Let j(p) = 0. What is p?
-33, -2/7
Let x(t) be the second derivative of 1/360*t**6 + 0 + 1/8*t**2 + 1/40*t**5 + 5/36*t**3 - 3*t + 1/12*t**4. Factor x(y).
(y + 1)**3*(y + 3)/12
Let z = 19681/13 + -1513. Factor 2/13*u**4 + 8/13*u**3 + 2/13 + z*u**2 + 8/13*u.
2*(u + 1)**4/13
Let d be (18/45)/((-3)/(-15)). Factor -88*p**3 - 6*p + 91*p**3 - 3*p**d - 5*p**2 + 5*p**2.
3*p*(p - 2)*(p + 1)
Let j(k) be the first derivative of 3*k**4/4 + 6*k**3 + 12*k**2 + 134. Suppose j(y) = 0. What is y?
-4, -2, 0
Let a = -175 + 174. Let p(c) = 3*c**2 - 6*c**2 - 3*c**2. Let k(t) = t**3 - t**2 - t - 1. Let o(y) = a*p(y) + 3*k(y). Factor o(b).
3*(b - 1)*(b + 1)**2
Let p(c) be the first derivative of -c**6/15 - 6*c**5/5 - 37*c**4/5 - 44*c**3/3 + 15*c**2 + 50*c - 73. Find m, given that p(m) = 0.
-5, -1, 1
Let l(o) be the first derivative of -o**3 - 75*o**2 - 1875*o - 241. Factor l(r).
-3*(r + 25)**2
Let a(w) be the third derivative of 5*w**8/1344 + w**7/42 + 5*w**6/96 + w**5/24 - 14*w**2. Factor a(r).
5*r**2*(r + 1)**2*(r + 2)/4
Suppose -3*m = 159*c - 158*c - 3, -3*m - 12 = -4*c. Suppose 0 = 5*s - 10 - 10. Let 0*v**c + v**2 - 2/3*v - 1/3*v**s + 0 = 0. Calculate v.
-2, 0, 1
Let t be ((-24)/1188*6)/((-4)/6). Factor -4/11 - t*w**2 + 6/11*w.
-2*(w - 2)*(w - 1)/11
Let -158/3*w**3 - 2*w**5 - 56/3*w**4 + 64/3 + 64/3*w - 36*w**2 = 0. Calculate w.
-4, -1, 2/3
Let j(a) be the second derivative of -a**7/357 - 2*a**6/85 - 7*a**5/170 + 3*a**4/17 + 44*a**3/51 + 24*a**2/17 + 5*a - 12. What is q in j(q) = 0?
-3, -2, -1, 2
Let z(j) be the third derivative of -j**6/150 - 4*j**5/25 - 6*j**4/5 + 139*j**2. Find i, given that z(i) = 0.
-6, 0
Suppose 5*y + 4*c + 25 = 74, -42 = -2*y + 4*c. Factor -1894*t**2 - 3*t**3 - y*t + 1906*t**2 + 4*t.
-3*t*(t - 3)*(t - 1)
Let g(p) be the first derivative of -4*p**3/3 + 76*p**2 + 156*p + 112. Factor g(c).
-4*(c - 39)*(c + 1)
Let s = -74 + 80. Let o(z) be the first derivative of 0*z + s - 1/5*z**2 + 2/15*z**3. Factor o(q).
2*q*(q - 1)/5
Let h be 0 + (4 - 0) - (-8)/(-2). Let g(a) be the first derivative of 0*a**2 - 1/4*a**4 + 1/3*a**3 - 1 + h*a. Let g(b) = 0. What is b?
0, 1
Let z(a) be the third derivative of 0*a**3 - 4/5*a**5 + 3/2*a**4 - 1/15*a**6 + 0*a + 0 - 19*a**2 + 8/105*a**7 + 1/84*a**8. Suppose z(p) = 0. What is p?
-3, 0, 1
Let o(x) be the second derivative of -x**7/2520 + x**6/180 - x**5/40 + 7*x**3/6 + 37*x. Let a(y) be the second derivative of o(y). Factor a(w).
-w*(w - 3)**2/3
Let u = 2311/42 + -55. Let p(s) be the second derivative of 0 + 0*s**2 - 1/84*s**4 - 5*s - u*s**3. Suppose p(b) = 0. What is b?
-1, 0
Suppose -3*u + 5 = -4. Suppose 2*s + 0*g - 4 = -g, u*s - 5*g - 6 = 0. Find l such that -2*l - l + 5*l - l**2 + 1 + s*l**2 = 0.
-1
Let g(k) = -k**3 - 5*k**2 - 4*k - 12. Let w be g(-5). Suppose 3*v + v = w*v. Factor v + 0*c + 3/2*c**3 + 3/2*c**2.
3*c**2*(c + 1)/2
Let u(c) = -9*c**3 + 21*c**2 + 12*c. Let y(i) = i**3 - i**2 - i. Let q(m) = u(m) + 12*y(m). Let q(h) = 0. Calculate h.
-3, 0
Let d be (6 - 245/42) + 272/(-3). Let h = d - -91. Determine f, given that 1/2*f + 1/4*f**4 + 0*f**2 - h*f**3 - 1/4 = 0.
-1, 1
Let p(m) be the second derivative of -19/27*m**4 + 0 - 1/3*m**2 + 5/189*m**7 + 7/15*m**5 + 24*m + 17/27*m**3 - 23/135*m**6. Determine o, given that p(o) = 0.
3/5, 1
What is p in -1/3*p**3 - 2/3 + 0*p**2 + p = 0?
-2, 1
Let y be (132/11)/(40/10). Let m(r) be the first derivative of -7/4*r**2 + 5/6*r**y + r + 11. Determine b, given that m(b) = 0.
2/5, 1
Let b = 320/327 + -34/109. What is q in 0 + 1/3*q**3 + b*q**2 - 1/3*q**5 - 2/3*q**4 + 0*q = 0?
-2, -1, 0, 1
Let g(v) be the second derivative of 19*v + 8/9*v**3 + 1/9*v**4 + 8/3*v**2 + 0. Factor g(p).
4*(p + 2)**2/3
Let t(w) be the third derivative of 13*w**2 + 2*w**4 + 0 + 2/105*w**7 - 16/3*w**3 + 23/30*w**5 - 1/4*w**6 + 0*w. Factor t(i).
2*(i - 4)**2*(i + 1)*(2*i - 1)
Let d(i) be the first derivative of i**6/420 - i**5/105 - i**4/84 + 2*i**3/21 - i**2/2 - 12. Let s(m) be the second derivative of d(m). Let s(o) = 0. What is o?
-1, 1, 2
Let h = 1740 - 1737. Determine l, given that 0*l - 2/9*l**h + 4/9*l**2 + 0 - 2/9*l**4 = 0.
-2, 0, 1
Suppose -42 = 13*p - 120. Let f(b) be the first derivative of 2 + 0*b - 9/4*b**4 - b**3 - 9/5*b**5 + 0*b**2 - 1/2*b**p. Factor f(i).
-3*i**2*(i + 1)**3
Let d(u) be the third derivative of -u**6/160 + u**5/20 - 5*u**4/32 + u**3/4 - 46*u**2. What is n in d(n) = 0?
1, 2
Factor 16*t + 10/7*t**3 - 74/7*t**2 + 96/7.
2*(t - 4)**2*(5*t + 3)/7
Suppose -2*h + 5*h = 9, 4*t - h = 333. Let j = t + -82. Solve 7*l**j + 4/7 - 4*l = 0.
2/7
Let o(y) be the second derivative of y**5/10 + 5*y**4/2 - 52*y**3/3 + 36*y**2 - 2*y - 62. Solve o(a) = 0 for a.
-18, 1, 2
Let b(z) = -z**2 + 8*z + 4. Let c be b(8). Let d = 10 + -6. Factor -g + 2 - d*g**4 + 0*g**3 - 3*g + 2*g**4 + c*g**3.
-2*(g - 1)**3*(g + 1)
Let j(x) = -4*x**2 - 148*x - 360. Let l(m) = -2*m**2 - 49*m - 120. Let w(q) = 3*j(q) - 8*l(q). Find c such that w(c) = 0.
-2, 15
Determine y so that -14*y**2 + 44/3 - 26/3*y + 26/3*y**3 - 2/3*y**4 = 0.
-1, 1, 2, 11
Let g = 66 - 61. Suppose g*k - 58 = 5*s - s, 36 = 4*k + 2*s. Factor 26/3*c**4 + 14/3*c**2 - k*c**3 - 2/3*c - 8/3*c**5 + 0.
-2*c*(c - 1)**3*(4*c - 1)/3
Suppose -75 = 6*w - 123. Let a(z) be the third derivative of 1/56*z**4 + 1/420*z**5 + 1/21*z**3 - w*z**2 + 0 + 0*z. Find v such that a(v) = 0.
-2, -1
Let y(f) = -2*f - 2. Let n be y(-3). Suppose -25 = -n*c + 3. Let 3*p**3 + 2*p - 6*p - c*p**3 - 8*p**2 = 0. What is p?
-1, 0
Let z be 0 + 1/(-5) + (-1577)/(-1710). Let g = 20/9 - z. Find i such that -g - 3/2*i**4 + 3*i**3 - 3/2*i + 3*i**2 - 3/2*i**5 = 0.
-1, 1
Let z(m) be the third derivative of m**5/12 - 25*m**4/24 - 35*m**3/3 + 4*m**2 - 64*m. Suppose z(x) = 0. What is x?
-2, 7
Determine y, given that 2*y**2 + 40*y - 351 - 160*y + 2151 = 0.
30
Let f(v) be the third derivative of -v**7/945 + v**6/270 - v**2 + 12. Determine g so that f(g) = 0.
0, 2
Let m(u) be the first derivative of -3*u**8/560 + u**7/420 + u**6/40 - u**5/60 - 2*u**3/3 - 2. Let r(w) be the third derivative of m(w). Factor r(x).
-x*(x - 1)*(x + 1)*(9*x - 2)
Let t be (0 - 0)/(19 - 22). Let p(v) be the second derivative of -3/4*v**5 - 1/14*v**7 + t*v**2 + 0*v**3 - 1/2*v**4 - 2/5*v**6 - 6*v + 0. Factor p(m).
-3*m**2*(m + 1)**2*(m + 2)
Factor 10*y**2 - y**2 + 3 - 23*y**3 + 3*y + 26*y**3 + 6*y.
3*(y + 1)**3
Let q(s) = 13*s. Let o be q(0). Let u(b) be the third derivative of o*b + b**2 + 1/20*b**5 - 3/8*b**4 + b**3 + 0. Factor u(g).
3*(g - 2)*(g - 1)
Let i be 46/115*(-1)/4*-15. Factor -3/2*l**3 + 3*l**2 - 3 + i*l.
-3*(l - 2)*(l - 1)*(l + 1)/2
Let p(g) = 10*g**4 + 18*g**3 - 18*g**2 + 8*g. Let i(n) = -18*n**4 - 35*n**3 + 36*n**2 - 16*n. Let a(u) = 6*i(u) + 11*p(u). 