(y) = 0.
0, 1
Suppose 7 = -a + 5*y, 0 = -3*a + 6*a - 3*y - 3. Let f(v) be the third derivative of -1/180*v**5 - 1/18*v**a + 0 + 0*v - 1/36*v**4 - 3*v**2. Factor f(o).
-(o + 1)**2/3
Let j(g) be the first derivative of 21*g**4/32 - 41*g**3/24 - g**2/4 + g/2 + 4. Suppose j(b) = 0. Calculate b.
-1/3, 2/7, 2
Let w(f) = f**4 - f**2. Let i(n) be the third derivative of -n**7/21 - n**6/60 + n**5/6 + n**4/12 + n**2. Let h(v) = 2*i(v) + 2*w(v). Factor h(u).
-2*u*(u - 1)*(u + 1)*(9*u + 2)
Let v(i) be the third derivative of -i**7/105 + i**6/20 - i**5/10 + i**4/12 - 8*i**2. Factor v(r).
-2*r*(r - 1)**3
Let l(n) = -n + 9. Let i be l(6). Factor i*x**3 + 4*x**4 + x**5 + 3*x**3 + 4*x + 4*x**2 - 3*x.
x*(x + 1)**4
Let m = -2/6007 - 78059/96112. Let r = 59/16 - m. Factor 0 - 12*z**2 - r*z**3 - 6*z.
-3*z*(z + 2)*(3*z + 2)/2
Let u be ((-9640)/28)/(1/(-2)). Let t = 692 - u. Factor 0*p - 18/7*p**3 + 4/7*p**2 + 0 + t*p**4 - 10/7*p**5.
-2*p**2*(p - 1)**2*(5*p - 2)/7
Suppose y + 5*x = -3*y + 1, 0 = -x - 3. Let d = 9/2 - y. Factor 5/4*v**3 - d*v**2 + 1/2 - 5/4*v.
(v - 1)*(v + 1)*(5*v - 2)/4
Let x(i) be the second derivative of -i**6/165 + i**5/110 + i**4/66 - i**3/33 - 13*i. Let x(z) = 0. Calculate z.
-1, 0, 1
Let v be 8 - (12/4)/1. Let m(w) = 9*w**3 + 6*w**2 + 3*w. Let i(x) = 8*x**3 + 6*x**2 + 3*x. Let j(y) = v*m(y) - 6*i(y). Let j(c) = 0. Calculate c.
-1, 0
Suppose 3*f + 2*m = -3*m - 7, -3*f - 3*m = 3. Let 1/2*i**2 - f + 1/2*i = 0. What is i?
-2, 1
Let f(k) be the first derivative of 1/15*k**5 - 4 - 5/12*k**4 - 8/3*k + 2/3*k**2 + 2/3*k**3. Solve f(j) = 0.
-1, 2
Let n = -15 - -25. Let z = 14 - n. Let 0*t - 4/5*t**2 + 2/5*t**z + 2/5 + 0*t**3 = 0. Calculate t.
-1, 1
Factor -4*v**2 + 2*v**2 + 8*v - 3 - 3.
-2*(v - 3)*(v - 1)
Let w(z) be the third derivative of z**8/336 + z**7/210 - z**6/120 - z**5/60 - 6*z**2. Suppose w(l) = 0. What is l?
-1, 0, 1
Let y be ((-4)/(-6))/((128/12)/4). Find w, given that -1/2*w**3 + 1/2*w + y - 1/4*w**4 + 0*w**2 = 0.
-1, 1
Let v = 28141/120 + -469/2. Let c(q) be the third derivative of -1/24*q**4 - q**2 - 1/12*q**3 + 0 + 0*q - v*q**5. Let c(o) = 0. What is o?
-1
Find b, given that 4*b**2 + b**2 + 22*b**3 - 5 + 5*b - 27*b**3 = 0.
-1, 1
Let s = 1 + 1. Suppose -6*o - t + 11 = -2*o, -3*o = -s*t - 11. Let x(q) = 2*q**2 + 2*q + 3. Let y(f) = 1. Let p(j) = o*y(j) - x(j). Factor p(w).
-2*w*(w + 1)
Let f(t) be the first derivative of -3 + 0*t + 0*t**3 + 2/15*t**5 + 0*t**2 - 1/6*t**4. Suppose f(b) = 0. Calculate b.
0, 1
Let q = -100 + 101. Let v(w) be the first derivative of -1/21*w**6 - q + 0*w**5 + 0*w + 1/7*w**4 - 1/7*w**2 + 0*w**3. What is k in v(k) = 0?
-1, 0, 1
Let o = 181 - 179. Let n(p) be the first derivative of 1/4*p**4 + 5 + 1/3*p**3 - 1/2*p**o - p. Factor n(d).
(d - 1)*(d + 1)**2
Let l(k) be the third derivative of -k**8/24 - 16*k**7/105 - 11*k**6/60 - k**5/15 + 4*k**2. Solve l(j) = 0.
-1, -2/7, 0
Factor 3*t**2 + 0*t**2 - 3*t**4 + t**4 - t**2.
-2*t**2*(t - 1)*(t + 1)
Let c(g) be the first derivative of -g**5/25 - g**4/4 - 2*g**3/5 + 2*g**2/5 + 8*g/5 + 5. Suppose c(p) = 0. What is p?
-2, 1
Factor -2*q - 2*q + 8*q + 5*q**2 - q**2.
4*q*(q + 1)
Suppose -4*c - 5*m - 7 = 0, 2 = -m - 1. Suppose 3*o = -r + c*o + 5, 4*r - 8 = 2*o. Factor -4/7 + 10/7*w**r + 16/7*w**2 + 2/7*w.
2*(w + 1)**2*(5*w - 2)/7
Let s(h) be the third derivative of -h**7/5040 + h**6/1440 + 5*h**4/24 - 5*h**2. Let v(y) be the second derivative of s(y). Factor v(t).
-t*(t - 1)/2
Let k(h) be the second derivative of h**7/17640 + h**6/2520 + h**5/840 + h**4/4 - 5*h. Let c(m) be the third derivative of k(m). Factor c(y).
(y + 1)**2/7
Let f be (1*2)/(1 + 0). Let w(p) = -3*p + 29. Let b be w(9). Determine x so that f*x**4 + 2 + 12*x - 10*x - 2*x**3 - 2*x**2 - b = 0.
-1, 0, 1
Let u(n) = 45*n**2 + 30*n - 100. Let d(x) = -11*x**2 - 8*x + 25. Let s(o) = -25*d(o) - 6*u(o). Let s(g) = 0. Calculate g.
-5, 1
Let s(p) be the first derivative of p**8/168 + p**7/35 + p**6/20 + p**5/30 + p**2/2 + 3. Let a(r) be the second derivative of s(r). What is y in a(y) = 0?
-1, 0
Let h(z) = -z**3 + 2*z**2 + 2*z. Let u(y) be the first derivative of -3*y**4/4 + 2*y**3 + 5*y**2/2 - 3. Let t(b) = 8*h(b) - 3*u(b). Factor t(f).
f*(f - 1)**2
Let n(r) = 8*r**4 - 6*r**3 + 8*r**2 + 6*r - 10. Let p(a) = a**4 + a**2 - 1. Let v(k) = 2*n(k) - 12*p(k). Factor v(z).
4*(z - 2)*(z - 1)**2*(z + 1)
Let z = 174 - 488. Let w = 643/2 + z. Factor -1 - 14*r**2 + w*r.
-(4*r - 1)*(7*r - 2)/2
Let v(b) = b - 2. Let f be v(6). Suppose 36 = -4*p + 48. Factor -2/3*a**p + 0*a**2 + 0*a + 0 - 2/3*a**f.
-2*a**3*(a + 1)/3
Let g = -3 + 7. Suppose 5*x + w = 4*w + 30, g*w + 8 = -4*x. What is m in 1/2*m**5 + 1/4*m + 0 - 1/4*m**4 - 3/4*m**x + 1/4*m**2 = 0?
-1, -1/2, 0, 1
Let y(z) = z**2 - 1. Let g be y(-1). Suppose -5*h + 7 + 8 = g. Factor -2*v**4 - h*v**3 - 2*v**2 + 0 - 1/2*v**5 - 1/2*v.
-v*(v + 1)**4/2
Let x(v) = 9*v**2 - 15*v - 4. Let h(c) = 8*c**2 - 15*c - 3. Let y(b) = 4*h(b) - 3*x(b). Find t such that y(t) = 0.
0, 3
Let y(d) be the first derivative of -d + 2 + 1/90*d**5 + 0*d**2 + 1/54*d**4 + 0*d**3. Let u(v) be the first derivative of y(v). Factor u(a).
2*a**2*(a + 1)/9
Let b(j) be the third derivative of -j**8/1512 - 4*j**7/945 - j**6/90 - 2*j**5/135 - j**4/108 + 6*j**2. Determine f, given that b(f) = 0.
-1, 0
Let f(c) be the second derivative of 0 + 10*c**2 - c + 1/2*c**4 - 13/3*c**3. Let p(d) = -2*d**2 + 9*d - 7. Let a(n) = 3*f(n) + 8*p(n). Factor a(x).
2*(x - 2)*(x - 1)
Factor 2*t + 14*t**2 + 15*t + 3 - 1 - 6*t.
(2*t + 1)*(7*t + 2)
Let p(d) = 7*d**2 + 20*d + 5. Let f(h) = -36*h**2 - 102*h - 24. Let j(t) = 4*f(t) + 21*p(t). Let j(s) = 0. Calculate s.
-3, -1
Let g = 11 + -9. Let j(w) = -13*w**2 + 22*w - 4. Let k(a) = 7*a**2 - 11*a + 2. Let n(c) = g*j(c) + 5*k(c). Determine h so that n(h) = 0.
2/9, 1
Suppose 5*j - 10 = 5. Let i be j + ((-92)/(-9))/(-4). Factor 0*d - 2/9*d**3 - 2/9*d**5 + 0 - i*d**4 + 0*d**2.
-2*d**3*(d + 1)**2/9
Let w(j) = -9*j**5 + 4*j**3 - 5. Let s(i) = -28*i**5 + 12*i**3 - 16. Let h(f) = 5*s(f) - 16*w(f). Factor h(x).
4*x**3*(x - 1)*(x + 1)
Let z(m) be the second derivative of m**6/1800 + m**3/2 + 3*m. Let y(l) be the second derivative of z(l). Factor y(g).
g**2/5
Let r(j) be the second derivative of -j**4/42 - j**3/7 + 8*j. Solve r(a) = 0.
-3, 0
Let p(b) be the first derivative of -5*b**3/3 - 5*b**2 + 4. Find y, given that p(y) = 0.
-2, 0
Determine t so that 4/3 + 2/9*t**2 - 14/9*t = 0.
1, 6
Suppose 2*o = -o + 6. Let 4*b**2 - 6*b**2 + 2*b**2 + b + b**o = 0. What is b?
-1, 0
Let v(i) be the second derivative of i**7/8820 + i**6/2520 - i**4/3 + 4*i. Let s(m) be the third derivative of v(m). Let s(c) = 0. Calculate c.
-1, 0
Suppose -2*m - 4 = -0*m. Let i(p) = 13*p - 4*p + 3*p**2 - p**2 - 3. Let t(k) = -k**2 - 4*k + 1. Let b(f) = m*i(f) - 5*t(f). Factor b(g).
(g + 1)**2
Let s(t) be the first derivative of 2*t**5/5 - t**4 - 2*t**3/3 + 2*t**2 - 5. Determine z, given that s(z) = 0.
-1, 0, 1, 2
Suppose 0 = q - 0 - 1. Factor 2 + 2 - q - 3*j**2.
-3*(j - 1)*(j + 1)
Let o = -23 - -23. Suppose o = 5*v - 14 - 1. Let 0*j + 2/7*j**5 - 2/7*j**4 + 0 - 2/7*j**v + 2/7*j**2 = 0. Calculate j.
-1, 0, 1
Let w(g) = -g**3 - g**2 + g - 1. Let d(t) = 4*t**3 - 2*t**2 + 2. Let i(q) = d(q) + 2*w(q). Factor i(c).
2*c*(c - 1)**2
Let i(k) be the first derivative of 2*k**3/21 + 12*k**2/7 + 72*k/7 - 5. Find c, given that i(c) = 0.
-6
Suppose 0 = -3*b + 12 + 15. Let l = 11 - b. Factor 1/3*s + 0 + 2/3*s**l.
s*(2*s + 1)/3
Let 2/5*q**5 - 2/5*q**4 - 2/5 - 4/5*q**3 + 4/5*q**2 + 2/5*q = 0. Calculate q.
-1, 1
Let z be 227/(-4)*20/(-15). Let u = z - 75. Suppose -u*v**2 - 2/3*v**3 + 0*v + 0 = 0. Calculate v.
-1, 0
Let l(o) be the first derivative of o**5/20 + o**4/8 - o**2/4 - o/4 + 32. Factor l(s).
(s - 1)*(s + 1)**3/4
Let k be 2/(-476)*684/(-9). Let q = -4/119 + k. Factor -q*d**3 + 0 + 4/7*d**2 - 2/7*d.
-2*d*(d - 1)**2/7
Solve -2/5*m**3 + 0 + 0*m - 2/5*m**2 = 0 for m.
-1, 0
Suppose 18 = -6*x + 6. Let a = -5/3 - x. Factor -2/3 - 1/3*t + a*t**2.
(t - 2)*(t + 1)/3
Let l be 1/2 + 181/1278. Let r = l + -14/71. Find p, given that -4/9*p**2 + 2/9*p**5 + 2/9 - r*p**3 + 2/9*p**4 + 2/9*p = 0.
-1, 1
Let t(x) be the third derivative of x**8/784 - 2*x**7/245 + x**6/70 + 38*x**2. Determine r, given that t(r) = 0.
0, 2
Let n be 4/(-10) - 8/(-20). Suppose u + u = n. Suppose u