termine t so that f(t) = 0.
-2
Suppose -4*y = -3*y + 2. Let f be (-6)/(-36)*(-3)/y. Factor 1/4*r + 3/4*r**2 + 3/4*r**3 + f*r**4 + 0.
r*(r + 1)**3/4
Let q(y) be the first derivative of 2 + 3/2*y - 3*y**2 - 3/2*y**4 + 3/10*y**5 + 3*y**3. Factor q(x).
3*(x - 1)**4/2
Find l, given that -2/5*l**2 - 1/5*l + 1/5 = 0.
-1, 1/2
Let h(f) = f - 2. Let b be h(9). Factor b*u**2 + 5*u - 5 + 2 + 1.
(u + 1)*(7*u - 2)
Let h(r) be the third derivative of 0 - 1/270*r**5 + r**2 + 0*r**4 + 0*r - 1/540*r**6 + 0*r**3. Factor h(y).
-2*y**2*(y + 1)/9
Solve -52*k**2 + 5*k**3 - 35*k + 52*k**2 + 30 = 0 for k.
-3, 1, 2
Let r(t) = 5*t**2 - 3*t + 1. Let k be r(2). Let l be (8/(-10))/((-42)/k). Let 0*z - 4/7*z**2 + 0 - l*z**3 = 0. What is z?
-2, 0
Let k(f) = 9*f**3 - 9*f**2 + 39*f + 9. Let s(z) = 2*z**3 - 2*z**2 + 8*z + 2. Let u(m) = -5*k(m) + 24*s(m). Factor u(j).
3*(j - 1)**2*(j + 1)
Let 0*q**2 + 2/3*q**3 - 2/3*q + 1/3 - 1/3*q**4 = 0. Calculate q.
-1, 1
Let k(x) be the third derivative of 0*x**3 + 0 + 0*x + 1/30*x**5 - 3*x**2 - 1/12*x**4. Find y, given that k(y) = 0.
0, 1
Let s be 2/(-10) - (-11)/5. What is h in -1 + h**s + h**4 + 0*h**4 - h**2 - 2*h**3 + 2*h = 0?
-1, 1
Suppose 2 = -5*f + 7*f. Let i be (-30)/(-40) - f/12. Factor 14/3*z**2 - 4/3*z - i*z**5 + 0 - 6*z**3 + 10/3*z**4.
-2*z*(z - 2)*(z - 1)**3/3
Suppose 12/11*b + 2/11*b**2 + 18/11 = 0. Calculate b.
-3
Let r(c) be the second derivative of c**6/15 - c**4/6 + 14*c. Factor r(n).
2*n**2*(n - 1)*(n + 1)
Suppose 4*k + 2*d - 3*d + 2 = 0, 3*k - 2*d + 4 = 0. Determine q, given that -2/9*q**2 + k*q + 0 + 2/9*q**3 = 0.
0, 1
Let d(q) = q + 6. Let h be d(-6). Suppose -4*k - 1 + 13 = h. Factor a**4 + 4*a**2 - a - 4*a**k - 5*a**2 + 5*a**3.
a*(a - 1)*(a + 1)**2
Factor 8/3 + 8*t - 14/3*t**3 - 6*t**2.
-2*(t - 1)*(t + 2)*(7*t + 2)/3
Let b be (639/12)/1 + 1. Let h = -54 + b. Solve 0 - 1/4*c**2 + 0*c - h*c**4 + 1/2*c**3 = 0.
0, 1
Suppose 329 - 332 - 21*d + 6*d - 12*d**2 = 0. What is d?
-1, -1/4
Let g(w) be the first derivative of -4*w - 2/3*w**3 - 2 - 3*w**2. Suppose g(x) = 0. Calculate x.
-2, -1
Let t = 4 - -7. Factor 11 - t - 3*w + 3*w**2.
3*w*(w - 1)
Let a = 20 - -7. Let o be a/(-42) + 3/2. Factor 0 + 2/7*h**4 - 6/7*h**3 - 2/7*h + o*h**2.
2*h*(h - 1)**3/7
Factor 18/7 - 12/7*j + 2/7*j**2.
2*(j - 3)**2/7
Let d(c) = -c**3 - 7*c**2 - c + 3. Let h(y) = -6*y**2 + 2. Suppose -2*g - 9 = 3*g - n, 4*n + 2 = g. Let i(q) = g*d(q) + 3*h(q). Factor i(k).
2*k*(k - 1)**2
Let c(w) = -w**2 - 31*w - 146. Let i be c(-25). Factor -1/2*y**3 + 0*y + 0 - 1/2*y**i + 0*y**2.
-y**3*(y + 1)/2
Find s such that 12/5 - 9/5*s - 3/5*s**2 = 0.
-4, 1
Let r(n) = -4 + 2*n - 3*n + 2*n. Let p be r(7). Factor 0*d - 5*d**2 + d**p + d + 3*d**3.
d*(d - 1)*(4*d - 1)
Let v(u) be the third derivative of -u**7/1155 - u**6/132 - 3*u**5/110 - 7*u**4/132 - 2*u**3/33 - 20*u**2. Suppose v(i) = 0. Calculate i.
-2, -1
Let i(z) be the second derivative of -z**8/6720 - z**7/840 - z**6/240 - z**5/120 + 2*z**4/3 + 4*z. Let l(a) be the third derivative of i(a). Factor l(y).
-(y + 1)**3
Factor 2*i**3 + 6*i**2 - 6*i**3 + 2*i**3 - 8.
-2*(i - 2)**2*(i + 1)
Let z(v) be the second derivative of 1/25*v**5 - 1/30*v**4 - 1/75*v**6 + 0*v**3 + 0 - v + 0*v**2. Solve z(q) = 0 for q.
0, 1
Let t(s) be the second derivative of -2*s**7/63 + 2*s**6/135 + 2*s**5/5 - 10*s**4/9 + 34*s**3/27 - 2*s**2/3 - 3*s. Find w, given that t(w) = 0.
-3, 1/3, 1
Let s(q) be the second derivative of q**4/36 - 2*q**3/9 + q**2/2 + q. Factor s(k).
(k - 3)*(k - 1)/3
Let z(x) = 3*x**4 - 20*x**3 + 22*x**2 - 16*x + 11. Let a(j) = 3*j**4 - 21*j**3 + 21*j**2 - 15*j + 12. Let n(b) = -5*a(b) + 6*z(b). Factor n(d).
3*(d - 2)*(d - 1)**3
Factor 3/2*m**2 - 1/2*m**4 + 5/2*m + 1 - 1/2*m**3.
-(m - 2)*(m + 1)**3/2
Let z(v) be the third derivative of 1/24*v**4 + 0*v**3 - 1/60*v**5 + 3*v**2 + 0*v + 0. Factor z(s).
-s*(s - 1)
Let f = -53/21 + 18/7. Let b(j) be the third derivative of -1/245*j**7 - j**2 - f*j**3 + 0*j - 2/35*j**5 - 1/42*j**6 + 0 - 1/14*j**4. Solve b(o) = 0.
-1, -1/3
Suppose 2 = 2*g - 4. Determine m, given that 2/9*m**4 - 2/9*m**2 + 0 + 4/9*m**g - 4/9*m = 0.
-2, -1, 0, 1
Solve -1/2*g**2 + 0*g + 0 + 0*g**3 + 1/2*g**4 = 0 for g.
-1, 0, 1
Let k(y) be the second derivative of y**6/240 + y**5/40 + y**4/16 + y**3/12 - y**2/2 + 2*y. Let l(r) be the first derivative of k(r). Let l(b) = 0. What is b?
-1
Let c be (1*-2)/((-8)/12). Let i(p) be the third derivative of 0 + 1/60*p**5 + 0*p + 2*p**2 + 1/6*p**c - 1/12*p**4. Factor i(h).
(h - 1)**2
Let l(u) = 9*u**4 + 12*u**3 - 3*u**2 - 43*u - 27. Let t(x) = 14*x**4 + 18*x**3 - 4*x**2 - 64*x - 40. Let o(b) = 8*l(b) - 5*t(b). Factor o(d).
2*(d - 2)*(d + 1)*(d + 2)**2
Let l(f) = -f**3. Let d(a) be the first derivative of 9*a**5/5 + 11*a**4/4 - 2*a**3/3 - 2*a**2 + a - 2. Let t(x) = d(x) - l(x). Factor t(z).
(z + 1)**2*(3*z - 1)**2
Let w(f) be the first derivative of -f**6/12 + f**5/2 - 7*f**4/8 + f**3/2 + 2. Suppose w(z) = 0. Calculate z.
0, 1, 3
Let v = 12 - 7. Suppose -5*l**5 + l**5 - 4 + 2*l - 10*l**v - 68*l**3 + 32*l**2 + 52*l**4 = 0. What is l?
-2/7, 1
Let m(k) be the third derivative of -k**9/144 + k**8/1680 + k**7/420 + k**3/3 + k**2. Let g(p) be the first derivative of m(p). Factor g(f).
-f**3*(3*f - 1)*(7*f + 2)
Let y(i) be the second derivative of -i**9/7560 + i**7/630 - i**5/60 + i**4/12 + i. Let d(r) be the third derivative of y(r). Factor d(l).
-2*(l - 1)**2*(l + 1)**2
Suppose -2*q + 135 = 3*q. Let z be q/15 - (2 - 1). Determine a, given that -2/5*a**2 + 6/5*a - z = 0.
1, 2
Let -35*j**3 + 2 - 14*j + 25/2*j**4 + 69/2*j**2 = 0. Calculate j.
2/5, 1
Let c be 1/(-5) - (-77)/35. Suppose -q**3 + 8*q**2 - 7*q**c + 2*q**3 = 0. Calculate q.
-1, 0
Let u(s) be the third derivative of -s**6/1080 + s**5/180 + s**3/2 - 2*s**2. Let a(q) be the first derivative of u(q). Suppose a(v) = 0. Calculate v.
0, 2
Let b(t) be the second derivative of 4/135*t**6 + 2/27*t**4 + 0 - 1/27*t**3 - 1/189*t**7 + 0*t**2 - 1/15*t**5 + 2*t. Factor b(g).
-2*g*(g - 1)**4/9
Let u(a) be the second derivative of -a**4/102 - a**3/17 + 4*a**2/17 + 32*a. Factor u(n).
-2*(n - 1)*(n + 4)/17
Suppose 7*y + 19067 - 4073 = 0. Let x be (-4)/34 + (-3584)/y. Factor 0 + 4/9*n + x*n**2.
2*n*(7*n + 2)/9
Let k be 450/660 - 1/2. Factor -4/11*o - 2/11*o**2 - k.
-2*(o + 1)**2/11
Factor 32 + 355*l + 1944*l**2 + 2916*l**3 + 186*l - 109*l.
4*(9*l + 2)**3
Let l be -2 + 5/(-2 + 3). Suppose -3*h + l = 0, -5*u + 0*h + 9 = -h. Determine g, given that 3*g**3 + 4*g**5 + g**2 + 17*g**3 - 5*g**u - 17*g**4 = 0.
0, 1/4, 2
Factor 1/3*o**3 - 2/3*o + 0 - o**2 + 1/3*o**5 + o**4.
o*(o - 1)*(o + 1)**2*(o + 2)/3
Let g(s) = -s - 9. Let w be g(-12). Factor w*y**4 - y**4 - 3*y**3 + 6*y**3 - y**3.
2*y**3*(y + 1)
Suppose -o - 12 = 2*o. Let j be 0/((o - -1) + 5). Determine i, given that -1/4*i**2 + 1/4*i + j = 0.
0, 1
Let r(s) be the third derivative of -s**7/2940 + s**5/420 + s**3/3 + 3*s**2. Let b(n) be the first derivative of r(n). Determine k so that b(k) = 0.
-1, 0, 1
Let i(x) be the third derivative of -7*x**6/180 - 2*x**5/15 - x**4/12 + 2*x**3/9 + 6*x**2. Factor i(n).
-2*(n + 1)**2*(7*n - 2)/3
Let u(a) = -5*a**4 - 3*a**3 + 3*a**2 + 3*a + 2. Let b(l) = 11*l**4 + 6*l**3 - 6*l**2 - 6*l - 5. Let o(s) = -2*b(s) - 5*u(s). Factor o(c).
3*c*(c - 1)*(c + 1)**2
Let m be ((9/35)/3)/(5/50). Determine l, given that 4/7*l**2 + 0 + 0*l + 2/7*l**4 + m*l**3 = 0.
-2, -1, 0
Let u(x) be the third derivative of -x**11/285120 + x**10/453600 + x**5/30 - 2*x**2. Let l(k) be the third derivative of u(k). Factor l(f).
-f**4*(7*f - 2)/6
Let q(x) = 3*x**2 - 2*x - 4. Let b(c) = -c**2 + 1. Let m(n) = -4*b(n) - q(n). Factor m(p).
p*(p + 2)
Let n = 104 - 101. Factor 0 + 0*f + 1/3*f**2 - 1/3*f**n.
-f**2*(f - 1)/3
Suppose 1 = 2*f - f. Let u(a) = -3*a**2 + 4*a - 3. Let s(o) = -o**2 + o - 1. Let q(l) = f*u(l) - 2*s(l). Factor q(i).
-(i - 1)**2
Let x be 46/132 - (-94)/(-564). Let w(c) = -c**3 - c + 2. Let b be w(0). Factor x*d**b + 8/11 + 8/11*d.
2*(d + 2)**2/11
Factor -2/5*f - 4/5 + 2/5*f**2.
2*(f - 2)*(f + 1)/5
Factor 0 - 8/3*s - 8/3*s**2 - 2/3*s**3.
-2*s*(s + 2)**2/3
Let x(r) be the first derivative of -1/2*r**6 - 1 + 0*r - 3/4*r**4 - 6/5*r**5 + 0*r**3 + 0*r**2. Determine m so that x(m) = 0.
-1, 0
Let h be ((0/3)/(-1))/(51 - 52). Suppose h + 4*j**2 - 6*j - 2/3*j**3 = 0. Calculate j.
0, 3
Let s = 21