+ 4*w - 4*w**m + 0*w.
4*w**2*(w - 1)
Let m(b) be the third derivative of -b**5/180 - 7*b**4/18 - 26*b**3/9 + 2*b**2 + 2. Let m(t) = 0. What is t?
-26, -2
Let r(j) be the first derivative of -j**5/10 + j**4/3 + 7*j**3/3 + 4*j**2 - 14*j + 27. Let c(d) be the first derivative of r(d). Factor c(x).
-2*(x - 4)*(x + 1)**2
Let p be (94/(-235))/(-2 + 7/4). Factor 4/5*m**2 + 0 + 112/5*m**3 - p*m.
4*m*(4*m - 1)*(7*m + 2)/5
Let t(x) be the first derivative of 5*x**4/4 + 20*x**3 + 55*x**2/2 - 114. Factor t(y).
5*y*(y + 1)*(y + 11)
Let c(l) be the third derivative of 5/12*l**4 + 8*l**2 + 0*l - 1/24*l**5 + 0 + 25/12*l**3. Suppose c(j) = 0. What is j?
-1, 5
Suppose -5*k + k - 4*a + 20 = 0, 2*a = 3*k + 10. Factor -2/13*v**4 + k - 2/13*v**3 + 2/13*v**2 + 2/13*v.
-2*v*(v - 1)*(v + 1)**2/13
Let n(c) be the third derivative of 0*c**3 + 0 + 5/12*c**4 + 8*c**2 + 0*c - 1/6*c**7 - 1/12*c**6 + 7/12*c**5. Factor n(s).
-5*s*(s - 1)*(s + 1)*(7*s + 2)
Suppose 20*b**3 - 7*b - b**3 + 19*b + 2*b**2 + 0*b**3 - 27*b**3 + 2*b**4 = 0. What is b?
-1, 0, 2, 3
Suppose 5*z = -u + 35, -2*u + 0*z + 75 = 5*z. Find s such that -u - 3*s**2 - 23 - 15*s + 3*s + 78 = 0.
-5, 1
Let f = 41/66 - 5/11. Let v(c) be the first derivative of 0*c + 7 + f*c**3 + 0*c**2 + 1/4*c**4 + 1/10*c**5. Factor v(q).
q**2*(q + 1)**2/2
Factor 0*r + 32/3*r**2 - 8/3*r**4 - 4/3*r**5 + 16/3*r**3 + 0.
-4*r**2*(r - 2)*(r + 2)**2/3
Let p be (0 + 0)*(-7)/14. Suppose -r + 2 = -p*r. Factor 4*u**4 - 11*u**3 + 8*u + u**2 - u**r + 3*u**3 - 4.
4*(u - 1)**3*(u + 1)
Let s(t) be the first derivative of -t**6/10 + 13*t**5/20 - 11*t**4/8 + t**3 + 13*t**2 + 18. Let o(z) be the second derivative of s(z). Factor o(x).
-3*(x - 2)*(x - 1)*(4*x - 1)
Let n(t) be the first derivative of -t**5/540 - t**4/72 + t**2/2 + 10. Let f(a) be the second derivative of n(a). Find u, given that f(u) = 0.
-3, 0
Factor -1018 - 2463 + 108*l + 10*l + 24*l**2 - 43*l**2 + 18*l**2.
-(l - 59)**2
Suppose -12 = 4*p + 5*y, 4*p + 8 = 2*p - 3*y. Factor -2*a**2 - 3 + 12*a - 7 - 2*a**2 + p.
-4*(a - 2)*(a - 1)
Let z = 5/4 + -1. Suppose -g - 2*u + 6 = 0, 24*g - 5*u = 5 + 86. Find m, given that 1/4*m**3 + 0*m + 0*m**g + 0*m**2 - z*m**5 + 0 = 0.
-1, 0, 1
Let z(c) = -7*c**2 + 8. Let m(j) = 57*j**2 - 63. Let d be (-2)/((-1)/8*1). Let w = -17 - d. Let a(s) = w*z(s) - 4*m(s). Suppose a(x) = 0. Calculate x.
-2, 2
Let p = 756331/9 + -83937. Let o = 100 - p. Suppose -8/9 - 8/9*f - o*f**2 = 0. Calculate f.
-2
Let f be (1 + 1 + -5)/(-1). Determine k, given that -k**3 - 17*k**4 - 4*k + 11*k**4 + 6*k**2 + 2*k**5 + 3*k**f = 0.
-1, 0, 1, 2
Let x(d) be the second derivative of d**5/140 + d**4/28 + d**3/21 + 88*d - 3. Factor x(f).
f*(f + 1)*(f + 2)/7
Let p(m) = m**2 + 10*m + 4 + 6 + 10 - 2*m. Let h(z) = 1. Let f(q) = 12*h(q) - 3*p(q). Suppose f(o) = 0. What is o?
-4
Let r(p) be the first derivative of -p**5/30 + p**4/4 - 2*p**3/3 - 4*p**2 - 12. Let z(k) be the second derivative of r(k). Determine b, given that z(b) = 0.
1, 2
Suppose -41*p + 30*p = -33. Let m(v) be the first derivative of -1/6*v**p + v + 7 - 1/4*v**2. Solve m(k) = 0 for k.
-2, 1
Let 56/3*o - 2/3*o**2 + 0 = 0. What is o?
0, 28
Let d be 4 - (-18)/(-1 - 2). Let r = 3 - d. Factor 157 - 140*o + 163 - r*o**3 + 60*o**2 - 100*o.
-5*(o - 4)**3
Determine t, given that 2*t**3 - 5*t**3 - 69*t**2 + 2*t + 70*t = 0.
-24, 0, 1
Let f(c) = c**4 - 2*c**3 - c. Let q(d) = 4*d**4 - 11*d**3 + 5*d**2 - 8*d. Let g(h) = -5*f(h) + q(h). Suppose g(p) = 0. What is p?
-3, 0, 1
Let r be (-21)/168*(-5 - 4). Let n(j) be the second derivative of -1/16*j**4 + r*j**2 + 0 + 7*j - 1/4*j**3. Factor n(g).
-3*(g - 1)*(g + 3)/4
Suppose -t + 3*h = -26, -3*t + 3*h + 544 = 514. Let 1/3*p**t + 1/9 + 5/9*p - p**3 = 0. What is p?
-1/3, 1
Let w be 6 + -1 + 15 + 2499/(-126). Let 25/6*q**2 + 5/3*q + w = 0. What is q?
-1/5
Let x(q) be the third derivative of -q**5/210 - 95*q**4/84 - 94*q**3/21 - 10*q**2 - 4. Factor x(m).
-2*(m + 1)*(m + 94)/7
Solve -7/8*u**3 + 11/8*u**2 - 3/2 + 7/8*u + 1/8*u**4 = 0.
-1, 1, 3, 4
Let f = -8 - -5. Let w(j) = -4*j**2 - 4*j. Let h(c) = 5*c**2 + 5*c. Let a(z) = f*h(z) - 4*w(z). Factor a(d).
d*(d + 1)
Let k(f) = f**5 + 2*f**4 - f**2 + f. Let d(y) = 3*y**5 + 6*y**4 - 3*y**3 - 10*y**2 - 2*y. Let b(w) = -2*d(w) + 4*k(w). Suppose b(x) = 0. Calculate x.
-2, -1, 0, 2
Factor -13 - 19 + 9*s + 42 + 30*s + 21*s**3 + 50*s**2.
(s + 1)*(3*s + 2)*(7*s + 5)
Factor 11*v**4 - 58*v**2 + 42*v - 336*v**3 - 41*v**2 - 203*v**4 - 3.
-3*(v + 1)**2*(8*v - 1)**2
Let x(q) be the third derivative of -q**8/1176 - 2*q**7/735 + q**5/105 + q**4/84 + q**2 + 27*q. Determine p so that x(p) = 0.
-1, 0, 1
Let u(r) be the third derivative of r**8/168 - r**7/15 - 3*r**6/20 + 7*r**5/30 + 2*r**4/3 + 9*r**2 + 1. Factor u(h).
2*h*(h - 8)*(h - 1)*(h + 1)**2
Let s(q) be the first derivative of -1/4*q**4 - 1/12*q**6 - 1/3*q**3 + 3/10*q**5 - 1/2*q + 14 + 3/4*q**2. Factor s(h).
-(h - 1)**4*(h + 1)/2
Suppose -n + 20 = 4*n. Suppose 7 = -l - 3*w, n*l + 2*w = 2*l - 2. Factor -3*c**4 + 7*c**3 - 3*c + 0 + 0 + l - 3*c**2.
-(c - 1)**3*(3*c + 2)
Let n be (-1734)/(-866) - 12/6. Let p = n - -3892/2165. Solve p*x - 3/5*x**2 - 6/5 = 0.
1, 2
Factor -106*d**3 + 13*d + 105*d**3 + 14 - 2.
-(d - 4)*(d + 1)*(d + 3)
Factor 0 - 12/7*r**2 + 0*r + 16/7*r**3 - 4/7*r**4.
-4*r**2*(r - 3)*(r - 1)/7
Suppose -7*n = 17 - 31. Let g(b) be the second derivative of 21/5*b**5 - 53/12*b**4 + n*b**2 - 4/3*b**3 + 0 - 6*b. Solve g(i) = 0 for i.
-2/7, 1/4, 2/3
Suppose -8 = 4*h, -3*b = -6*h + 3*h - 63. Factor b*z**5 - 10*z**5 + 5*z**2 - 11*z**5 + 6*z**3 - z**2.
-2*z**2*(z - 2)*(z + 1)**2
Let o(q) be the second derivative of -q**7/105 - 29*q**6/75 - 39*q**5/10 + 15*q**4/2 + 7*q + 11. Suppose o(w) = 0. What is w?
-15, 0, 1
Let b(t) = -t**3 - 5*t**2 - 6*t - 6. Let x be b(-4). Factor -4*p**x + 8 + 2*p**3 - 4*p + 5*p**3 - 4*p**2 - 3*p**3.
4*(p - 2)*(p - 1)*(p + 1)
Suppose 3*h**3 + 0 - 1/4*h**5 + 1/2*h**4 + 5/4*h + 7/2*h**2 = 0. Calculate h.
-1, 0, 5
Let r = 1878 - 16894/9. Solve -2/9*x**5 - 10/9*x**4 + 2/9*x**2 + 16/9*x + r - 14/9*x**3 = 0.
-2, -1, 1
Let q(f) be the third derivative of -f**10/226800 - f**9/90720 + f**8/15120 + 13*f**5/60 - 6*f**2. Let b(j) be the third derivative of q(j). Factor b(d).
-2*d**2*(d - 1)*(d + 2)/3
Suppose 3*p = -p - 12, c - 276 = -2*p. Suppose 4*x - 4*x**3 + 282 - c = 0. Calculate x.
-1, 0, 1
Suppose -p + 4 = 7, 2*k + p - 7 = 0. Determine v so that -5 + 5 + 3*v**3 - 141*v**5 - 6*v**4 + 144*v**k = 0.
0, 1
Let w be -6 - (61/(-6))/((-20)/(-3) - 5). Factor 1/10*t**4 + 0*t + 0 + w*t**2 + 1/5*t**3.
t**2*(t + 1)**2/10
Let r be 12/42*(5 - -44). Let v be (-2)/((4/r)/(12/(-28))). Factor -1/3*w**4 + 0*w + 0 + 0*w**v + 1/3*w**2.
-w**2*(w - 1)*(w + 1)/3
Let u be (363/9 + -2 + -3)*168. Let c be 62222/u + -1*3/(-8). Let 4/7*a**5 - 4*a**4 + 64/7*a + c*a**3 - 100/7*a**2 - 16/7 = 0. What is a?
1, 2
Let f = -1526 + 1526. Let c(x) be the second derivative of 1/10*x**6 + f*x**3 + 11*x + 0*x**2 + 0*x**5 - 1/4*x**4 + 0. Factor c(a).
3*a**2*(a - 1)*(a + 1)
Suppose 5*q + 2*a + 7 = 4*q, 0 = 5*q - 4*a + 49. Let d = 19/2 + q. Factor 1/4 + d*i + 1/4*i**2.
(i + 1)**2/4
Let h(v) = v + 1. Let a(u) be the third derivative of -u**5/15 - 7*u**4/6 - 10*u**3/3 + 3*u**2. Let m(w) = a(w) + 20*h(w). Solve m(t) = 0.
-2, 0
Let y(o) = -8*o - 15. Let d(i) = -i + 1. Let p(q) = -4*d(q) + y(q). Let a be p(-6). Let 4*j**3 + 2/3*j**2 + 6*j**4 + 0*j + 0 + 8/3*j**a = 0. What is j?
-1, -1/4, 0
Let u(o) be the second derivative of 5*o**4/12 - 205*o**3/3 + 8405*o**2/2 + 38*o. Factor u(w).
5*(w - 41)**2
Suppose o = -9*o + 110. Let l be (-7 + 5)/(1/(-4)*o). Determine c so that 10/11*c**3 + 32/11*c + l + 34/11*c**2 = 0.
-2, -1, -2/5
Let u(s) be the second derivative of s**5/80 + 7*s**4/24 - 17*s**3/8 - 89*s. Suppose u(h) = 0. What is h?
-17, 0, 3
Let u(m) be the second derivative of -5*m**7/28 + 31*m**6/24 - 3*m**5 + 145*m**4/48 - 5*m**3/4 + 13*m. What is b in u(b) = 0?
0, 1/2, 2/3, 1, 3
Factor -8 + 12*c**3 - 12*c - c**2 - 62*c**4 + 5*c**2 + 66*c**4.
4*(c - 1)*(c + 1)**2*(c + 2)
Let c(w) be the third derivative of 0 + 0*w + 9/80*w**6 - 11/40*w**5 - 1/140*w**7 + 1/4*w**4 + 0*w**3 - 1/224*w**8 - 9*w**2. Suppose c(k) = 0. Calculate k.
-4, 0, 1
Suppose 0 = -3*o + 15 - 96. Let a = 38 + o. Let s(c) = -c**3 - 30*c**2 + 19*c - 21. Let y(z) = -6*z**2 + 4*z - 4. Let p(