f n(i). Factor j(t).
-(t - 4)*(t + 1)/2
Suppose 0 = 3*r - 5*b + 1 + 8, 2*r - 1 = b. Factor 2*w**r + 4 - 5*w - 2 + 9*w.
2*(w + 1)**2
Let v be 855/(-405) - (1 + (-2)/5). Let u = -2/45 - v. Solve -34/3*l**2 - 75*l**3 - 100/3*l**4 + 12*l + u = 0 for l.
-2, -2/5, -1/4, 2/5
Suppose -45 = 3*f - 22 - 32. Determine m, given that -2/7*m**2 + 2/7 + 2/7*m - 2/7*m**f = 0.
-1, 1
Let y(j) = j**3 - 14*j**2 - 144*j + 2041. Let l be y(13). Suppose 0*k - 14/5*k**5 + 0 - 4*k**4 + l*k**2 - 6/5*k**3 = 0. Calculate k.
-1, -3/7, 0
Let 0 - 1/2*v**4 - 3/2*v**3 + 1/2*v**5 + 5/2*v**2 - v = 0. Calculate v.
-2, 0, 1
Factor -70 + 12 + 26 - 3*t**2 - 48*t - 112.
-3*(t + 4)*(t + 12)
Let w(s) be the first derivative of 21/4*s**2 + 3 - 3/8*s**4 - s**3 - 6*s. What is d in w(d) = 0?
-4, 1
Let f(z) be the first derivative of 5 + 41*z**3 + 84*z + 39*z**3 - 79*z**3 - 9*z + 15*z**2. Determine a so that f(a) = 0.
-5
Suppose 41 = 13*l - 11*l - 5*p, 0 = -2*l - 4*p - 22. Factor 2/11*k**5 + 2/11*k**2 + 6/11*k**4 + 6/11*k**l + 0 + 0*k.
2*k**2*(k + 1)**3/11
Let n = 31/4 + -277/36. Let h(l) be the second derivative of 1/126*l**7 - n*l**4 + 1/45*l**6 + 2*l + 0*l**2 + 0 + 0*l**3 - 1/60*l**5. Factor h(f).
f**2*(f - 1)*(f + 1)*(f + 2)/3
Determine x, given that 2 + 41/2*x**3 - 9/2*x**5 - 10*x + 11/2*x**2 - 3/2*x**4 = 0.
-2, -1, 1/3, 2
Let j(r) = 3*r**2 + 16*r + 28. Let f be j(-2). Let q(m) be the first derivative of f + 0*m**2 + 1/3*m**3 + 0*m. Factor q(v).
v**2
Let a(w) = -24*w**2 - 24*w - 1. Let k(l) = -265*l**2 - 265*l - 10. Let p(q) = 4*q**2 + 2*q + 2. Let t be p(-1). Let o(m) = t*k(m) - 45*a(m). Factor o(i).
5*(2*i + 1)**2
Suppose 4*a + 85 = 3*y + 49, -y - 14 = 3*a. Suppose 2/7*v**5 + 0*v + 0 + 4/21*v**y - 2/3*v**3 + 4/21*v**2 = 0. Calculate v.
-2, 0, 1/3, 1
Factor -2/15 + 4/5*l + 4/3*l**3 - 8/5*l**2 - 2/5*l**4.
-2*(l - 1)**3*(3*l - 1)/15
Let w(q) = q**3 - 3*q + 2. Let i(m) = -m**3 - 14*m**2 - 13*m + 2. Let f be i(-13). Let x be w(f). Solve -3*r - 6*r**2 + r + x*r = 0.
0, 1/3
Let f(j) be the first derivative of 0*j - 1/2*j**4 + 0*j**2 + 12 + 0*j**3 + 1/5*j**5. Suppose f(w) = 0. What is w?
0, 2
Let y = 379/710 + -12/355. Let x(t) be the first derivative of 0*t + 2/5*t**5 + 5 + y*t**4 - 4/3*t**3 + 0*t**2. Factor x(v).
2*v**2*(v - 1)*(v + 2)
Let g(v) = v**2 - 37*v + 341. Let o be g(17). Factor 2*x + 1/4*x**3 - o - 5/4*x**2.
(x - 2)**2*(x - 1)/4
Let b(h) be the third derivative of -h**5/30 - 5*h**4/12 - 2*h**3 - 183*h**2. Find o such that b(o) = 0.
-3, -2
Let d(k) be the third derivative of 1/4*k**5 + 1/42*k**7 + 0*k**4 + 0*k**3 + 0 + 0*k - 6*k**2 - 1/6*k**6. Factor d(l).
5*l**2*(l - 3)*(l - 1)
Let d(j) be the first derivative of -3*j**6 - 116*j**5/5 - 110*j**4/9 - 16*j**3/9 - 316. Solve d(a) = 0 for a.
-6, -2/9, 0
Let 1/3*t**3 + 0 + 0*t - 1/6*t**4 - 1/6*t**5 + 0*t**2 = 0. What is t?
-2, 0, 1
Let p = -2046 + 2048. Determine c, given that 0*c**3 + 2/3 - 4/3*c**p + 2/3*c**4 + 0*c = 0.
-1, 1
Let h(a) be the second derivative of a**6/240 + a**5/160 - a**4/24 - a**3/12 + 74*a. Factor h(d).
d*(d - 2)*(d + 1)*(d + 2)/8
Let a(j) be the third derivative of -j**7/140 + 3*j**6/80 - j**4/4 + 4*j**2 - 4. Factor a(k).
-3*k*(k - 2)**2*(k + 1)/2
Let g(v) be the second derivative of -2*v**7/147 + 9*v**6/35 - 19*v**5/10 + 142*v**4/21 - 80*v**3/7 + 64*v**2/7 + 40*v. Find j, given that g(j) = 0.
1/2, 1, 4
Let n(y) be the second derivative of -5/36*y**3 - 1/2*y**2 - 1/72*y**4 - 18*y + 0. Factor n(p).
-(p + 2)*(p + 3)/6
Let o(v) be the third derivative of v**5/12 - 5*v**4 - 130*v**3/3 + 83*v**2 + 3*v. Factor o(w).
5*(w - 26)*(w + 2)
Find i such that 0*i + 0 + 4/5*i**4 - 18/5*i**3 + 8/5*i**2 = 0.
0, 1/2, 4
Let b(k) = 2*k**2 - k - 3. Let o be b(-2). Factor -o + 4*a + 4*a**2 + 3 - 4*a.
4*(a - 1)*(a + 1)
Let x(d) be the first derivative of -2*d**5/25 + 37*d**4/10 - 646*d**3/15 - 361*d**2/5 - 82. Solve x(s) = 0.
-1, 0, 19
Let m(u) be the third derivative of u**8/336 + u**7/210 - u**6/10 - 7*u**5/15 - 2*u**4/3 + 7*u**2 - 2. Factor m(z).
z*(z - 4)*(z + 1)*(z + 2)**2
Let g be (1/((-9)/4))/((-33)/99). Let s be 1/(-3) + (0 - -1). Factor -2/3*k + s*k**2 - g.
2*(k - 2)*(k + 1)/3
Let v be (-5 - 264/(-45)) + (-4)/6. Let w(c) be the second derivative of 6*c + 0*c**3 - v*c**4 + 8/5*c**2 + 0 + 1/25*c**5. Suppose w(l) = 0. What is l?
-1, 2
Suppose -117 - 43 = -5*y. Let f be (-2)/3*(-4)/y*4. Factor -1/3*d**2 + f + 0*d.
-(d - 1)*(d + 1)/3
Let n = -50 + 54. Suppose 8*o - 20 = 3*o. Find u such that -o*u**4 + 3*u**n - 2*u**3 + u**3 = 0.
-1, 0
Let h(g) = -g**3 - 15*g**2 - 19*g - 46. Let c = 14 - 28. Let n be h(c). Factor 10*q**3 + 3/2*q**4 + 8 + 24*q**2 + n*q.
(q + 2)**3*(3*q + 2)/2
Let y be 28/3*(-198)/(-1155). Suppose 242/5*d**4 + 0 + 96/5*d**2 - 66*d**3 - y*d = 0. Calculate d.
0, 2/11, 1
Let l be (3 + (-308)/100)/(12/(-5)). Let q(b) be the third derivative of 4*b**2 - l*b**6 + 0*b + 1/6*b**4 + 1/105*b**7 + 0*b**3 + 0 - 1/30*b**5. Factor q(h).
2*h*(h - 2)*(h - 1)*(h + 1)
Let p(x) = -3*x**2 - 6*x - 3. Suppose 4*u = u - 6. Let c(t) = -13*t + 6*t - 2*t**2 - t**2 - 4. Let y(z) = u*p(z) + 3*c(z). Factor y(w).
-3*(w + 1)*(w + 2)
Let f = -167 + 177. Let o be 84/(-30) + 4 - 4/f. Solve -2/5*x**5 + 0*x - 2*x**3 + 8/5*x**4 + o*x**2 + 0 = 0 for x.
0, 1, 2
Suppose -35 + 14 + 3 = -9*o. Factor 1/2*x - 1/4 - 1/4*x**o.
-(x - 1)**2/4
Let d(g) be the first derivative of 0*g**2 + 1/6*g**4 + 2 + 1/2*g**3 + 1/60*g**5 - 6*g. Let k(w) be the first derivative of d(w). Determine i so that k(i) = 0.
-3, 0
Let h(m) be the second derivative of 1/105*m**6 + 3/70*m**5 + 0 + 8*m + 0*m**3 + 0*m**2 + 1/21*m**4. Let h(u) = 0. What is u?
-2, -1, 0
Let m(u) = u**2 - u. Let l(q) = -3*q + 13. Let o be l(5). Let p(t) = -15*t - 1. Let a(k) = o*p(k) + 18*m(k). Factor a(z).
2*(3*z + 1)**2
Let z(k) be the third derivative of 0*k**3 - 2*k**2 - 1/735*k**7 + 0 - 1/7*k**4 + 4/105*k**5 + 1/420*k**6 - 23*k. Let z(h) = 0. What is h?
-3, 0, 2
Let n(t) be the second derivative of -1/12*t**4 - 1/90*t**6 + 2/3*t**2 + 33 + 1/12*t**5 - 2*t - 5/18*t**3. Let n(o) = 0. Calculate o.
-1, 1, 4
Let i(b) = 15*b**4 - 5*b**3 + 11*b**2 - 11*b. Let v(c) = 4*c**4 - c**3 + 3*c**2 - 3*c. Let l(q) = -6*i(q) + 22*v(q). Determine k, given that l(k) = 0.
0, 4
Let f(q) be the first derivative of 2*q**5/5 - 53*q**4/2 - 175. Factor f(g).
2*g**3*(g - 53)
Let r(v) = v**3 + 391*v**2 + 53071*v + 2352633. Let w(o) = -3*o**3 - 1175*o**2 - 159212*o - 7057900. Let t(c) = 11*r(c) + 4*w(c). Suppose t(d) = 0. Calculate d.
-133
Let g be (-6)/(-4)*140/(-21). Let b be g/45 - (-249)/27. Factor 10*w**2 + 0*w**4 + 3*w**3 + 3*w**5 - b*w**4 + 0*w**2 - w**2 - 6*w.
3*w*(w - 2)*(w - 1)**2*(w + 1)
Suppose 858*v + 30 = 873*v. Factor 4*o + 2/3*o**v + 6.
2*(o + 3)**2/3
Let u(t) be the second derivative of t**4/54 + 16*t**3/9 - 49*t**2/9 + 930*t. Factor u(c).
2*(c - 1)*(c + 49)/9
Let l(g) be the second derivative of -g**6/180 - g**5/40 - g**4/36 + 2*g - 5. Factor l(f).
-f**2*(f + 1)*(f + 2)/6
Let z(f) be the second derivative of f**7/168 + f**6/40 - f**5/80 - 7*f**4/48 + f**2/2 - 9*f + 4. Find j, given that z(j) = 0.
-2, -1, 1
Let c(k) = k - 6. Let i be c(6). Suppose i*a = -5*j - 2*a + 68, -40 = -4*j + 2*a. Factor j*v**5 + 9*v**5 + 15*v**4 + 4*v**3 - 9*v**5 - v**3.
3*v**3*(v + 1)*(4*v + 1)
Let n(y) be the second derivative of -y**5/80 + 23*y**4/16 - 51*y**3 + 289*y**2/2 - 62*y. Factor n(s).
-(s - 34)**2*(s - 1)/4
Suppose -151 + 21 = -65*x. Factor -4/7 + 6/7*u - 2/7*u**x.
-2*(u - 2)*(u - 1)/7
Let l(j) be the second derivative of 1/12*j**4 + 0 - 6*j + 0*j**2 + 4/3*j**3. Factor l(g).
g*(g + 8)
Let r(v) be the second derivative of 1/15*v**6 + 0*v**3 + 0 + 0*v**2 - 1/105*v**7 - 5*v - 4/25*v**5 + 2/15*v**4. Factor r(d).
-2*d**2*(d - 2)**2*(d - 1)/5
Let u(m) = -m - 13. Let t be u(0). Let h = -9 - t. Factor -6*c**3 - 2*c**h - c**5 + c**4 - 3*c**2 - c**2 - 3*c**4 - c.
-c*(c + 1)**4
Let c(g) = 17*g + 22*g + 79 - 42*g. Let z be c(25). Suppose -1/2*x**2 + 0*x - 1/4*x**5 + 0 - 5/4*x**3 - x**z = 0. Calculate x.
-2, -1, 0
Let q = -216 + 216. Let o(j) be the second derivative of 1/5*j**3 + 0*j**2 - 3/20*j**4 - 5*j + 0*j**5 + q + 1/50*j**6. Determine f, given that o(f) = 0.
-2, 0, 1
Let b = 18 - 15. Factor -4*p**3 - 8*p**b - 5*p**4 - 5*p**2 + 2*p**3.
-5*p**2*(p + 1)**2
Let j be (-360)/420*3/27*-7. Solve -1/3 + 5/6*q - 2/3*q**3 - 1/6*q**5 - 1/3*q**2 + j*q*