 derivative of y**5/100 - y**4/20 - y**3/30 + 3*y**2/10 + y - 10. Factor h(d).
(d - 3)*(d - 1)*(d + 1)/5
Let y(c) be the first derivative of 2*c**3/3 + 13*c**2/2 - 4*c + 9. Let v be y(-7). Suppose 6/7*q**2 + 4/7 - 2/7*q**4 + 10/7*q - 2/7*q**v = 0. What is q?
-1, 2
Factor 1/5*m**2 - 9/5 + 0*m.
(m - 3)*(m + 3)/5
Suppose -16 - 23 = -3*v. Let s = -9 + v. Factor 8*o**2 - 24*o**3 - s*o**4 - 3*o + 8*o**2 + 20*o**4 - o - 4*o**5.
-4*o*(o - 1)**4
Suppose 10*s - 22*s = -1512. Let f = s - 376/3. Factor -2/3*g - f*g**3 + 4/3*g**2 + 0.
-2*g*(g - 1)**2/3
Suppose 0 = -5*n - l + 26, -5*n + 34 + 4 = 3*l. What is f in 0*f - 4/3 - 4/3*f**n + 8/3*f**2 + 0*f**3 = 0?
-1, 1
Let v be (2/27)/(755/906). Let r(o) be the first derivative of 5/9*o**4 + 0*o - 12 + v*o**5 + 8/9*o**2 + 32/27*o**3. Solve r(t) = 0.
-2, -1, 0
Let b(q) = 3*q**2 - 2*q. Let z(j) be the second derivative of j**4/2 - j**3/2 + 3*j. Let u(m) = 9*b(m) - 4*z(m). Suppose u(y) = 0. What is y?
0, 2
Let d(t) be the second derivative of t**8/26880 + 13*t**7/10080 + t**6/60 + 3*t**5/40 + 13*t**4/6 - 4*t. Let l(i) be the third derivative of d(i). Factor l(m).
(m + 1)*(m + 6)**2/4
Let r = -1 + 4. Let n be -2 - -7*r*(-4)/(-24). Factor 3/2*v**2 + 1/2 + 1/2*v**3 + n*v.
(v + 1)**3/2
Let k(p) = -4*p**2 - 20*p - 100. Suppose 0 = 5*a + 3*x + 3, 3 = -3*x + 15. Let c(o) = -o**2. Let i(b) = a*c(b) + k(b). What is r in i(r) = 0?
-10
Suppose 2*m = z + z + 18, -5*z + 11 = 2*m. Suppose -d = -m*d + 2*d. Factor 0 + d*j + 9/4*j**5 + 0*j**2 - 3/2*j**3 - 3/4*j**4.
3*j**3*(j - 1)*(3*j + 2)/4
Let a = 148 + -125. Suppose y - 3*f = -0*y + 13, -5*f = -2*y + a. Factor -2/3*z - z**y + 0 + z**2 + 2/3*z**3.
-z*(z - 1)*(z + 1)*(3*z - 2)/3
Let v(y) be the second derivative of 1/50*y**5 + 0*y**2 + 1/150*y**6 + 0 + 27*y + 1/60*y**4 + 0*y**3. Factor v(u).
u**2*(u + 1)**2/5
Let y(s) be the third derivative of -s**5/80 + 5*s**4/4 + 41*s**3/8 - 41*s**2 + s. Factor y(f).
-3*(f - 41)*(f + 1)/4
Let v be (-24)/8*(-4)/3. Let t(n) = n**3 + n**2 - 1. Let d(w) = 6*w**3 + 4*w**2 - w - 4. Let c(j) = v*d(j) - 20*t(j). Solve c(q) = 0 for q.
-1, 1
Let q(h) = h**4 - h**2 - 2. Let t(n) = 3*n**4 - n**3 - 3*n**2 + n - 5. Let g(m) = -5*q(m) + 2*t(m). Factor g(o).
o*(o - 2)*(o - 1)*(o + 1)
Suppose 5*c + 5 = 5*h, -3 = 114*h - 113*h + 3*c. Factor 4/3 - 2/3*z**3 + h*z**2 + 2*z.
-2*(z - 2)*(z + 1)**2/3
Let g(x) be the third derivative of x**10/50400 + x**9/20160 - x**8/3360 - 4*x**5/5 + 47*x**2. Let y(v) be the third derivative of g(v). Factor y(a).
3*a**2*(a - 1)*(a + 2)
Let l = 26 - 28. Let p(w) = 3*w**4 + 3*w**3 - w**2 - 3*w - 4. Let i(f) = -3*f**4 - 2*f**3 + f**2 + 2*f + 5. Let a(b) = l*i(b) - 3*p(b). Factor a(x).
-(x - 1)*(x + 1)**2*(3*x + 2)
Let a be -3 - ((-15)/(-180) + 122/(-24)). Let z(j) be the second derivative of a*j + 0*j**2 - 5/36*j**4 - 5/18*j**3 + 0. Factor z(k).
-5*k*(k + 1)/3
Let f = 7 - 4. Factor 15*j**f - 3*j**5 + 3*j**4 + 0*j**5 - 12 - 3*j**2 + 0 - 24*j.
-3*(j - 2)**2*(j + 1)**3
Factor -75414 + 4560*d**2 + 17518 + 37470 + 5*d**4 - 82459 - 18050*d - 270*d**3.
5*(d - 19)**3*(d + 3)
Let z(i) be the second derivative of i**5/140 + 5*i**4/84 - 17*i**3/42 - 3*i**2/2 + 81*i. Factor z(h).
(h - 3)*(h + 1)*(h + 7)/7
Let v = 3 + -9. Let k be (-25)/(-15) - 2/v. Solve 3/7*b**3 - 3/7*b**4 + 0 + 3/7*b**k - 3/7*b**5 + 0*b = 0.
-1, 0, 1
Find z, given that -106/5*z**3 + 82/5*z**4 + 14/5*z - 54/5*z**2 + 12*z**5 + 4/5 = 0.
-2, -1/2, -1/5, 1/3, 1
Let 2316/7*t + 15/7*t**2 + 132 = 0. What is t?
-154, -2/5
Let z(h) be the third derivative of h**5/70 - 46*h**4/7 + 8464*h**3/7 + 736*h**2. Determine i, given that z(i) = 0.
92
Let i(y) be the first derivative of y**6/3 + 2*y**5/5 - 2*y**4 - 8*y**3/3 - 14. Factor i(w).
2*w**2*(w - 2)*(w + 1)*(w + 2)
Let k be 2 + (-80)/(-45) + 6/27. Let l(f) be the second derivative of -1/4*f**4 - 1/10*f**6 + 3*f**2 - 3/2*f**3 - k*f + 0 + 9/20*f**5. Factor l(t).
-3*(t - 2)*(t - 1)**2*(t + 1)
Let w(s) be the second derivative of s**5/25 + 11*s**4/60 - s**3/10 - 177*s. Solve w(i) = 0.
-3, 0, 1/4
Let o(m) = -19*m + 287. Let z be o(15). Let i(s) be the second derivative of -1/6*s**4 - 6*s + 4/3*s**3 + 0 - 4*s**z. Determine v so that i(v) = 0.
2
Let z be (-2709)/42*(-2)/3. Let o = -128/3 + z. Factor -1/9*y**3 - o*y**2 + 0*y + 0.
-y**2*(y + 3)/9
Factor -5*s**2 + 5*s**4 + 2*s**2 - 2*s**2 + 2*s - 2*s**3.
s*(s - 1)*(s + 1)*(5*s - 2)
Let m(q) be the third derivative of -q**8/2688 - 3*q**7/280 + 13*q**6/320 - q**5/24 - 2*q**2. Solve m(h) = 0 for h.
-20, 0, 1
Let h be (15 - 20 - -7)/((-2)/(-3)). Solve 0*g - 1/6*g**5 + 1/3*g**2 + 0 + 2/3*g**4 - 5/6*g**h = 0.
0, 1, 2
Factor -8*b**2 + 6*b**2 + 102*b - 86*b - 14.
-2*(b - 7)*(b - 1)
Suppose 1/4*j**2 + 0 - 1/4*j**4 + 3/2*j - 3/2*j**3 = 0. What is j?
-6, -1, 0, 1
Suppose 21*f - 100 = -4*f. Let y(u) be the second derivative of 2*u + 0*u**2 + 1/6*u**3 + 0 + 1/24*u**f. Solve y(h) = 0 for h.
-2, 0
Let y(t) be the first derivative of -7*t**4/4 - 5*t**3/3 + 22*t**2 - 12*t + 632. What is r in y(r) = 0?
-3, 2/7, 2
Let p(v) = 2*v**4 - v**3 + v**2. Let a(c) = -6*c**5 - 22*c**4 + 25*c**3 - 9*c**2. Let b(d) = -2*a(d) - 18*p(d). Factor b(w).
4*w**3*(w + 2)*(3*w - 4)
Let o(g) be the third derivative of -5/336*g**8 + g**2 + 1/14*g**7 + 5/12*g**4 - 1/4*g**5 + 0*g**3 - 1/24*g**6 + 0 + 0*g. Suppose o(j) = 0. Calculate j.
-1, 0, 1, 2
Let w = 28201/30 - 940. Let o(k) be the third derivative of 0*k + 2*k**2 + 7/144*k**4 + w*k**5 + 1/36*k**3 + 0. Solve o(g) = 0.
-1/3, -1/4
Let m be ((-12609)/(-47634))/(9/20). Let -4/17*b - 6/17*b**3 + m*b**2 + 0 = 0. What is b?
0, 2/3, 1
Let h(b) be the second derivative of 11*b**8/23520 + 2*b**7/735 + b**6/630 - 5*b**4/3 + 10*b. Let r(d) be the third derivative of h(d). Factor r(n).
2*n*(n + 2)*(11*n + 2)/7
Let t = -638 + 638. Let b(x) be the third derivative of -5/12*x**4 + 0*x + 1/210*x**7 + 1/2*x**3 - 1/20*x**6 + t - x**2 + 1/5*x**5. Factor b(v).
(v - 3)*(v - 1)**3
Let g(c) be the first derivative of -c**5/15 - 3*c**4 - 54*c**3 - 486*c**2 - 2187*c - 138. Find u, given that g(u) = 0.
-9
Find k such that 52/5*k - 13*k**2 + 4 - 7/5*k**3 = 0.
-10, -2/7, 1
Let a(c) be the second derivative of -7/120*c**6 + 1/6*c**3 + 0*c**2 + c - 19/40*c**5 + 0 + 3/4*c**4. Let t(h) be the second derivative of a(h). Factor t(k).
-3*(k + 3)*(7*k - 2)
Let k(v) be the first derivative of v**4/3 - 2*v**3/3 - 12*v**2 + 18*v + 25. Let i(x) be the first derivative of k(x). Factor i(l).
4*(l - 3)*(l + 2)
Solve 194*r - 373*r - 3*r**2 + 140*r = 0.
-13, 0
Let v be (871/52 - 17)/(5/(-4)). Factor -v*b**2 + 1/5*b + 0.
-b*(b - 1)/5
Let d(n) be the third derivative of -n**6/240 + 29*n**5/40 - 645*n**4/16 + 1849*n**3/12 + 8*n**2 - n. Solve d(y) = 0.
1, 43
Suppose -2*j + 1 = 5. Let l be 6/(-2 + (-7)/j). Factor -20*d**3 - 16*d + 3*d**4 - 32*d**2 + 0*d**4 - 3*d**l - 4*d**4.
-4*d*(d + 1)*(d + 2)**2
Factor 4*h**4 - 52/5*h**3 + 0*h + 24/5*h**2 + 0.
4*h**2*(h - 2)*(5*h - 3)/5
Suppose -1/3*r**4 - 41*r**2 + 301/3*r - 196/3 + 19/3*r**3 = 0. Calculate r.
1, 4, 7
Let m(z) be the first derivative of -z**6/30 - 7*z**5/15 + 17*z**4/6 - 6*z**3 + 7*z**2 - 45. Let g(i) be the second derivative of m(i). Factor g(r).
-4*(r - 1)**2*(r + 9)
Let c be (-260)/39 + (10 - 5) - (-41)/21. Let -6/7*i**3 - c*i**2 + 2/7*i**4 + 0 + 6/7*i = 0. What is i?
-1, 0, 1, 3
Let h(q) be the first derivative of -q**8/112 + q**6/20 - q**4/8 + 7*q**2/2 + 15. Let s(x) be the second derivative of h(x). Factor s(l).
-3*l*(l - 1)**2*(l + 1)**2
Let o = 9432 - 18861/2. Factor 9/2*g - o*g**3 + 3 + 0*g**2.
-3*(g - 2)*(g + 1)**2/2
Factor 9*o**2 + 7*o**2 - 4*o - 1423*o**3 - 24 + 1419*o**3.
-4*(o - 3)*(o - 2)*(o + 1)
Factor 12482/3 + 1/6*m**2 + 158/3*m.
(m + 158)**2/6
Let m = -29 - -43. Let d = 14 + -9. Let u(j) = 56*j**2 + 16*j - 26. Let s(q) = -19*q**2 - 5*q + 9. Let y(w) = d*u(w) + m*s(w). Let y(h) = 0. What is h?
-1, 2/7
Let v(o) be the third derivative of o**8/1344 - o**7/168 + o**6/160 + 3*o**5/80 + o**2 + 43*o. Suppose v(a) = 0. Calculate a.
-1, 0, 3
Let x(j) = -12*j**2 + 72*j - 18. Let t(o) = o**2 - o + 1. Let m(y) = 2*t(y) - x(y). Suppose m(z) = 0. Calculate z.
2/7, 5
Let b(j) be the third derivative of j**6/160 - j**5/80 - j**4/16 - j**2 + 4. Solve b(n) = 0.
-1, 0, 2
Let a(s) be the second derivative of s**5/90 + 13*s**4/54 + 16*s**3/9 + 4*s**2 - 2*s + 194. Factor a(d).
2*(d + 1