4/3*b**4 + 8/3*b**3 + 0 + 0*b - 1/3*b**5 + 16*b**2. Suppose p(i) = 0. Calculate i.
-2, 2/5
Suppose -138*x + 40 = -130*x. Let y(v) be the third derivative of 0*v + 1/39*v**3 + 1/390*v**x + 1/78*v**4 + 0 - 4*v**2. Determine h so that y(h) = 0.
-1
Let r(m) = 65*m - 110. Let i(y) = y**2 + 3*y - 1. Let h(s) = 5*i(s) - r(s). Determine q so that h(q) = 0.
3, 7
Let t(g) = -g**2 - 3*g - 2. Let s be t(-2). Suppose -23*b - 92 = 0, 5*a - 1 = -2*b + 1. Suppose 4/3*o + 8/3*o**4 + s + 22/3*o**a + 26/3*o**3 = 0. What is o?
-2, -1, -1/4, 0
Solve 7*z**2 - 120 + 68*z - 27*z**2 + 10*z**2 + 6*z**2 = 0 for z.
2, 15
Let j(q) = -q**4 + 39*q**3 - 52*q**2 + 7. Let o(v) = -v**4 + 19*v**3 - 24*v**2 + 3. Let l(c) = -3*j(c) + 7*o(c). Find r, given that l(r) = 0.
0, 1, 3
Determine p, given that 4*p**3 + 344/7*p**2 - 4/7*p**5 - 32/7*p**4 - 624/7*p + 288/7 = 0.
-6, 1, 2
Let g(b) = 5*b - 30. Let s be g(0). Let m be (s/(-20))/(1/2). Factor 0 - 1/2*d + 1/2*d**m + 0*d**2.
d*(d - 1)*(d + 1)/2
Let i(m) be the first derivative of m**4/2 + 4*m**3 + 12*m**2 + 16*m - 31. Solve i(d) = 0.
-2
Factor 25/3*m + 0 + 1/6*m**4 - 4/3*m**3 + 5/6*m**2.
m*(m - 5)**2*(m + 2)/6
Let o(f) = -f**3 + 3*f**2 + 4*f. Let y be o(4). Suppose y = 3*c - 3*j - 12, 3*c - c = -5*j + 15. Factor -2*m**c + 0*m**3 + 4*m**5 - 2*m**3.
2*m**3*(m - 1)*(m + 1)
Let y(u) = -15*u**2 - 1215*u - 980. Let l(a) = -a**2 - 87*a - 70. Let z(k) = -55*l(k) + 4*y(k). Factor z(n).
-5*(n + 1)*(n + 14)
Let s(u) be the second derivative of 7*u**6/4 + 39*u**5/10 - 51*u**4/8 - 8*u**3 - 3*u**2 - 167*u. Let s(m) = 0. Calculate m.
-2, -2/7, -1/5, 1
Let v(t) = -t**3 - 6*t**2 - 2*t - 9. Suppose 4*f - 32 = 4*i, 2*i + 4*f = -0*f - 4. Let m be v(i). Solve 18*j**3 - 6*j**m + 8*j + 5*j + 16*j**2 - 9*j = 0.
-1, -1/3, 0
Determine s so that -1022/3*s + 230/3*s**3 - 196/3 - 578/3*s**2 - 6*s**4 = 0.
-1, -2/9, 7
Let v(s) = -120*s**4 - 912*s**3 - 951*s**2 - 159*s + 21. Let h(p) = 12*p**4 + 91*p**3 + 95*p**2 + 16*p - 2. Let d(j) = -21*h(j) - 2*v(j). What is u in d(u) = 0?
-6, -1, -1/4, 0
Let z(q) be the third derivative of q**7/126 + 7*q**6/120 + 19*q**5/180 + q**4/24 - 78*q**2. Suppose z(v) = 0. What is v?
-3, -1, -1/5, 0
Let b(z) be the first derivative of 4*z**5/5 + 10*z**4/3 - 52*z**3/9 + 149. Let b(x) = 0. Calculate x.
-13/3, 0, 1
Let o(j) be the third derivative of -1/120*j**6 + 1/420*j**7 - 22*j**2 + 0 + 0*j + 0*j**5 + 0*j**4 + 0*j**3. Factor o(b).
b**3*(b - 2)/2
Let m(q) = q + 1. Let j be (-12)/(-18) - 4/(-3). Let y(v) = 3*v**2 + 4*v + 1. Let a(t) = j*m(t) + y(t). Factor a(l).
3*(l + 1)**2
Let i = -42 + 45. Suppose -i*w**2 + 21*w**3 - 8 - 19*w**3 + 9*w**2 = 0. Calculate w.
-2, 1
Suppose -a - 6*o - 34 = 0, -22*a + o = -25*a. Solve -a*x + 1/3*x**2 - 7/3 = 0.
-1, 7
Let m(a) be the second derivative of -a**7/420 - a**6/60 - a**5/60 + a**4/12 + a**3/4 + 5*a**2/2 + 20*a. Let v(d) be the first derivative of m(d). Factor v(q).
-(q - 1)*(q + 1)**2*(q + 3)/2
Let -20*m + 73*m + 9 - 1 - 31*m + m**4 - 4*m**2 + 25*m**2 + 8*m**3 = 0. What is m?
-4, -2, -1
Let z(b) = -b**5 - b**4 + b**3 - b**2 - b + 1. Let l(k) = 5*k**5 - 15*k**4 + 15*k**3 + k**2 + k - 1. Let n(r) = -l(r) - z(r). Determine p, given that n(p) = 0.
0, 2
Factor -17/4*w + 9/8*w**2 - 1.
(w - 4)*(9*w + 2)/8
Let i(l) be the first derivative of l**4/16 + 199. What is j in i(j) = 0?
0
Suppose 6*x - 8*x = -36*x. Find b such that x*b**2 + 0 - 8/9*b + 2/9*b**3 = 0.
-2, 0, 2
Let o(j) = -2*j**2 - 17*j + 4. Let x be o(-12). Let v be (6/(-4))/(155/x - -1). What is a in v*a**2 - 2*a + 4/5 - 2/5*a**3 = 0?
1, 2
Let s(z) = 6*z**2 - 3*z + 3. Let a be s(1). Factor -12*k**3 + a + 2 + 12*k - 4*k**4 + 33*k**2 - 37*k**2.
-4*(k - 1)*(k + 1)**2*(k + 2)
Let f(b) be the first derivative of b**5/360 + b**4/144 - 8*b**2 - 1. Let d(i) be the second derivative of f(i). Determine a so that d(a) = 0.
-1, 0
Let n(r) be the first derivative of 0*r**2 - 2*r + 2/3*r**3 + 9. Let n(f) = 0. What is f?
-1, 1
Suppose 5*k = 3*k - 5*l + 10, -5*l + 10 = 0. Let w(g) be the first derivative of k*g + 1 + 2/11*g**2 + 2/11*g**4 - 10/33*g**3 - 2/55*g**5. Factor w(u).
-2*u*(u - 2)*(u - 1)**2/11
Let o(h) be the first derivative of 0*h**2 - 3/2*h**4 - 9/5*h**5 + h**3 - 12 + 0*h. Find x such that o(x) = 0.
-1, 0, 1/3
Let q = 8 + 7. Suppose 2*m - q = -3*m. Factor -r + 2*r**4 - 6*r + 3*r**2 - 5*r**2 + 5*r + 2*r**m.
2*r*(r - 1)*(r + 1)**2
Let y(s) be the second derivative of 1/6*s**6 - 49*s + 0 - s**5 + 0*s**3 + 5/42*s**7 + 0*s**2 - 5/3*s**4. Let y(k) = 0. Calculate k.
-2, -1, 0, 2
Suppose 98*m - 55*m + 69 = 66*m. Determine p, given that 0*p + 1/4*p**m + p**2 + 0 = 0.
-4, 0
Factor -4797/8*x - 3/8*x**3 - 243/8*x**2 + 5043/8.
-3*(x - 1)*(x + 41)**2/8
Suppose 2*h - 4*h - 2 = 2*n, 0 = -4*n + 3*h + 17. Let d be 24/15 - (-4)/10. Factor f - 3*f**4 + d*f**2 + n*f**2 - 7*f**2 + 6 + 8*f - 9*f**3.
-3*(f - 1)*(f + 1)**2*(f + 2)
Let i(t) be the third derivative of -t**7/1120 + t**6/240 - t**5/160 - 5*t**3/3 + 2*t**2. Let x(p) be the first derivative of i(p). Suppose x(k) = 0. What is k?
0, 1
Let h = -2213 + 2215. Suppose 0 + 3/2*k**h + 3*k - 3/2*k**3 = 0. What is k?
-1, 0, 2
Let y(u) be the third derivative of u**9/90720 + u**8/2520 + u**7/210 - 7*u**5/15 + 20*u**2. Let d(m) be the third derivative of y(m). Factor d(b).
2*b*(b + 6)**2/3
Let -8/7*i**3 + 48/7 - 86/7*i**2 - 170/7*i = 0. Calculate i.
-8, -3, 1/4
Let g(i) be the first derivative of -i**4/3 + 4*i**3/9 + 2*i**2/3 - 4*i/3 + 5. Let g(v) = 0. Calculate v.
-1, 1
Suppose -5*q = 5*y - 15, -2*y + q = -5 - 1. Factor -4*j - 81*j**2 - 2 - 2*j + 39*j**2 + 36*j**2 - 2*j**y.
-2*(j + 1)**3
Solve g**3 + 7*g**2 + 25*g**2 + 2*g**3 + 3*g**2 + 2*g**3 = 0 for g.
-7, 0
Suppose -g + 4*c - 43 + 15 = 0, -32 = -2*g - 3*c. Let 0 - 7*l**5 + 13*l**3 - 11/2*l**g + 3*l + 29/2*l**2 = 0. Calculate l.
-1, -2/7, 0, 3/2
Let p be 2 + 0 - (1*-9 - (-131 + 122)). Determine a, given that 0*a**3 + 16/7*a**p - 2/7*a**4 + 0*a - 32/7 = 0.
-2, 2
Let m(l) be the first derivative of l**7/840 + l**6/96 + 3*l**5/80 + 7*l**4/96 + l**3/12 - 15*l**2 - 31. Let p(d) be the second derivative of m(d). Factor p(x).
(x + 1)**3*(x + 2)/4
Let p(w) be the second derivative of w**10/10080 + w**9/2520 + 3*w**4/2 - w. Let s(g) be the third derivative of p(g). Find c such that s(c) = 0.
-2, 0
Let r(x) = -2*x**3 - x**2 - 2*x - 1. Let g(l) = -8*l**3 + 51*l**2 + 170*l + 117. Let u(c) = -g(c) + 3*r(c). Determine q, given that u(q) = 0.
-2, -1, 30
Let w(a) be the third derivative of -1/1260*a**6 + 0*a**3 + 0 - 8*a**2 + 0*a**4 - 1/630*a**5 + 0*a. Factor w(o).
-2*o**2*(o + 1)/21
Let x(v) be the second derivative of -v**9/1512 - v**8/210 + 4*v**6/45 + 4*v**5/15 - 10*v**3/3 + 7*v. Let z(w) be the second derivative of x(w). Factor z(a).
-2*a*(a - 2)*(a + 2)**3
Let z(x) be the second derivative of 5/4*x**4 + 3/5*x**5 + x**3 + 0 + 0*x**2 + 1/10*x**6 - 18*x. Factor z(u).
3*u*(u + 1)**2*(u + 2)
Let a(n) be the second derivative of 3*n**5/40 + 23*n**4/8 - 49*n**3/4 + 75*n**2/4 + 170*n + 1. Factor a(h).
3*(h - 1)**2*(h + 25)/2
Let f be 1 - (-2)/(-2)*-1. Let g be ((-17)/34)/(1/(-1)). Suppose -g*m + m**3 + 0 - 3/4*m**4 + 5/4*m**f = 0. Calculate m.
-1, 0, 1/3, 2
Suppose -40 = -2*d - 5*a, 3*d + 21*a - 22*a - 9 = 0. Find v such that 3/4*v**d - 3/2*v**3 + 0 + 0*v + 0*v**2 + 3/4*v**4 = 0.
-2, 0, 1
Suppose -49 = -22*p + 17. Let n(j) be the first derivative of -j**2 + p - j - 1/3*j**3. Factor n(v).
-(v + 1)**2
Let z(a) be the first derivative of 2*a**3/3 - 8*a + 95. Factor z(w).
2*(w - 2)*(w + 2)
Let d be 2/5*110/99. Let w(f) be the second derivative of d*f**3 + f**2 + 4*f + 0 + 1/18*f**4. Factor w(s).
2*(s + 1)*(s + 3)/3
Determine l, given that 0 + 0*l + 2/17*l**4 + 4/17*l**3 + 2/17*l**2 = 0.
-1, 0
Let t(q) be the third derivative of q**6/180 + 2*q**5/5 - 37*q**4/36 - 294*q**2. Factor t(a).
2*a*(a - 1)*(a + 37)/3
Let u be (0 - (-4)/(-10))/((-1)/5). Let d = 11 - 9. Factor 30*t - t**2 + 0*t**d - u*t**2 - 24*t.
-3*t*(t - 2)
Factor -11/5 - 1/10*r**2 - 13/10*r.
-(r + 2)*(r + 11)/10
Let x(v) = 4*v**2 - 59*v + 44. Let z be x(14). Find r, given that -8/7 - 12/7*r - 4/7*r**z = 0.
-2, -1
Find s, given that 0 - 2/13*s**5 - 24/13*s**2 + 0*s - 6/13*s**4 + 32/13*s**3 = 0.
-6, 0, 1, 2
Let v(f) be the first derivative of -f**6/60 + f**4/8 - f**3/6 + 21*f - 15. Let o(j) be the first derivative of v(j). Let o(s) 