0 - m**5/160 - 13*m**3/3 + 1. Let c(b) be the third derivative of y(b). Factor c(v).
v*(v - 3)/4
Factor -336*s + 0 + 2/3*s**4 + 1016/3*s**2 - 260/3*s**3.
2*s*(s - 126)*(s - 2)**2/3
Let l(w) be the third derivative of w**5/450 + 71*w**4/180 + 754*w**3/45 + 357*w**2 + w. Factor l(u).
2*(u + 13)*(u + 58)/15
Let t = -176/21577 - -518728/107885. Let -2/5*d**2 - 8 - t*d = 0. What is d?
-10, -2
Suppose -1378*i - 1984 = 4653*i - 14046. Factor -46/11*j + 2/11*j**4 - 10/11*j**3 - 16/11 - 42/11*j**i.
2*(j - 8)*(j + 1)**3/11
Let o(z) be the second derivative of -z**6/6 + 47*z**5/20 + 107*z**4/12 - 215*z**3/6 + 33*z**2 + 7*z - 88. Find c such that o(c) = 0.
-3, 2/5, 1, 11
Suppose 42*a - 39*a = 375. Let l = 127 - a. Factor 5/3 + 2*t + 1/3*t**l.
(t + 1)*(t + 5)/3
Let o(q) = -7*q**2 + 88*q + 70. Let c = 151 + -144. Let k(y) = -10*y**2 + 132*y + 107. Let d(s) = c*o(s) - 5*k(s). Let d(b) = 0. What is b?
-1, 45
Let h be 15/(-6) - 6/12. Let l(f) = -f**3 + 4*f**2 + 11*f - 3. Let m(q) = 2*q**3 - 9*q**2 - 21*q + 5. Let s(v) = h*m(v) - 5*l(v). Factor s(w).
-w*(w - 8)*(w + 1)
Solve -105/2*j**2 + 3*j**3 + 9/8*j**4 + 0 - 36*j = 0.
-8, -2/3, 0, 6
Let a(z) be the third derivative of 1/15*z**6 + 0*z - 6 + 1/15*z**5 + 2/315*z**7 - 5/9*z**4 + 2*z**2 + 0*z**3. Factor a(b).
4*b*(b - 1)*(b + 2)*(b + 5)/3
Suppose -387 = 55*d - 937. Let v be 55/(-396)*-76 - d. Factor 0 - v*w + 1/9*w**2.
w*(w - 5)/9
Let z(j) = j**3 - 19*j**2 + 35*j + 47. Let n be z(17). Suppose -12*h = 20*h - n. Factor 2/3*f - 2/15*f**h - 4/5.
-2*(f - 3)*(f - 2)/15
Let u(y) be the second derivative of -2*y**3 - 122*y + 0*y**2 + 1/24*y**4 + 0. Solve u(t) = 0.
0, 24
Let m(p) be the third derivative of -19*p**2 + 0 + 4*p**3 + 2/105*p**7 - 1/10*p**6 + 0*p + 7/6*p**4 - 1/5*p**5. Factor m(n).
4*(n - 3)*(n - 2)*(n + 1)**2
Let x(p) = 17 + 40*p - 42*p - 1. Let n be x(6). Suppose 0*a**2 + 43 + a**2 + n*a - 48 = 0. Calculate a.
-5, 1
Let m = -494861/3 + 164973. Solve 0 - 16*x**2 + m*x**3 + 8/3*x - 6*x**4 = 0 for x.
0, 2/9, 1, 2
Let v(b) = -49*b + 750. Let z be v(15). Let h be (-1)/z + 3509/660. Factor h + 6*y + 3/4*y**2.
3*(y + 1)*(y + 7)/4
Factor -99/4*y**2 - 216*y - 192 - 3/4*y**3.
-3*(y + 1)*(y + 16)**2/4
Let x(l) be the second derivative of 0*l**2 + 0*l**4 - 1/42*l**3 + 0 + 71*l + 1/140*l**5. Solve x(a) = 0 for a.
-1, 0, 1
Let m(x) be the first derivative of x**6/360 + 13*x**5/120 - 7*x**4/12 + 17*x**3/3 - x**2/2 - 1. Let g(q) be the third derivative of m(q). Factor g(u).
(u - 1)*(u + 14)
Solve 13/4*l + 5/4*l**2 + 3/2 = 0.
-2, -3/5
Let q(h) be the third derivative of -h**8/168 + h**7/15 + 3*h**6/20 - 7*h**5/30 - 2*h**4/3 - 1104*h**2. What is f in q(f) = 0?
-1, 0, 1, 8
Let f(a) = 12*a**3 + 647*a**2 + 51845*a + 51290. Let r(v) = -5*v**3 - 323*v**2 - 25922*v - 25636. Let u(s) = -2*f(s) - 5*r(s). Factor u(j).
(j + 1)*(j + 160)**2
Let o(b) be the first derivative of b**3/7 - 6*b**2 + 561*b/7 - 91. Factor o(u).
3*(u - 17)*(u - 11)/7
Let p be -10 - (((-20121)/36)/19)/3 - (-92)/207. Factor -p*k**3 + 25/2 - 13/2*k**2 - 23/4*k.
-(k - 1)*(k + 2)*(k + 25)/4
Let s = -209 + 214. Let 2*a**4 + 13*a**4 + 30*a**4 - s*a**5 = 0. What is a?
0, 9
Let g(l) = 9*l - 83. Let q be g(9). Let y be (952/468 - 2)/(q/(-9)). Suppose 0 + y*u**2 + 2/13*u = 0. Calculate u.
-1, 0
Let v(y) be the second derivative of y**5/4 - 55*y**4/6 - 145*y**3/6 + 345*y**2 - 6674*y. Factor v(p).
5*(p - 23)*(p - 2)*(p + 3)
Let q(v) be the second derivative of -v**4/8 + 231*v**3 + 2775*v**2/4 - 5605*v. Suppose q(w) = 0. Calculate w.
-1, 925
Let k = 1125539/1969681 + -1/281383. Find r, given that 2/7*r**3 + 0*r**2 - 6/7*r + k = 0.
-2, 1
Let t(f) be the second derivative of -23/15*f**6 + 242/3*f**3 + 0*f**2 - 1/21*f**7 - 223*f - 77/6*f**4 - 141/10*f**5 + 0. Let t(j) = 0. Calculate j.
-11, -2, 0, 1
Let s be (2207 + -2205)/(-2*(-1)/2). Suppose -9/5*l**3 - 1/5*l - 14/5*l**s + 4/5 = 0. What is l?
-1, 4/9
Let k(i) = 5*i**2 + 2310*i. Let r(l) = 3*l**2 + 2310*l. Let s(d) = 3*k(d) - 4*r(d). Find z such that s(z) = 0.
0, 770
Let l be 4/(4068/(-2038) + 2) - 1. What is y in 4*y**2 - 522*y + 9825 + 42*y + l + 6504 - 2947 = 0?
60
Solve -2/11*a**2 - 112/11*a - 1176/11 = 0 for a.
-42, -14
Factor -160*c**3 + 279*c - 360 - 612*c + 5*c**4 - 377*c - 695*c**2 - 180*c.
5*(c - 36)*(c + 1)**2*(c + 2)
Let m = -145/3 + 49. Let h be (162/6561)/(4/12)*15. Find r, given that 0*r - m*r**4 + 0*r**3 + h*r**5 + 0*r**2 + 0 = 0.
0, 3/5
Let r(u) be the third derivative of -u**5/20 + 175*u**4/8 - 87*u**3 - 3*u**2 - 504. Suppose r(p) = 0. What is p?
1, 174
Let d(v) = -4*v**3 - 268*v**2 + 1132*v - 1150. Let g(t) = 4*t**3 + 266*t**2 - 1130*t + 1149. Let u(b) = 3*d(b) + 2*g(b). Suppose u(k) = 0. Calculate k.
-72, 2
Let d(u) be the second derivative of 13*u**4/32 - 27*u**3/8 + 3*u**2/2 - 2040*u. Let d(l) = 0. Calculate l.
2/13, 4
Let d(p) be the third derivative of p**8/224 + 23*p**7/140 + 19*p**6/16 + 17*p**5/8 - 6*p**4 - 27*p**3 + 2989*p**2. Solve d(v) = 0.
-18, -3, -2, -1, 1
Let m(j) be the second derivative of -2/3*j**2 - 87*j + 13/18*j**3 - 1/4*j**4 + 0. Determine r, given that m(r) = 0.
4/9, 1
Let y(w) be the second derivative of w**5/50 + 593*w**4/10 + 351649*w**3/5 + 208527857*w**2/5 - 2887*w. Factor y(v).
2*(v + 593)**3/5
Let f(n) be the third derivative of -n**5/105 - 181*n**4/84 - 3075*n**2. Solve f(a) = 0.
-181/2, 0
Let o(i) be the second derivative of -i**8/1400 - 3*i**7/700 - i**6/100 - i**5/100 + 31*i**3/3 - 16*i. Let z(f) be the second derivative of o(f). Factor z(t).
-6*t*(t + 1)**3/5
Let p(x) be the third derivative of -x**5/240 + 409*x**4/24 - 167281*x**3/6 - 34*x**2 - 6*x + 2. Factor p(m).
-(m - 818)**2/4
Let o = 515977 - 1547929/3. Suppose 0*d + o*d**3 + 7/6*d**4 + 0 - 1/2*d**2 = 0. Calculate d.
-1, 0, 3/7
Let l(g) be the second derivative of -5*g**7/126 + 4*g**6/9 - g**5 + 7166*g. Solve l(s) = 0 for s.
0, 2, 6
Let c(g) = 5*g**3 - 785*g**2 + 3711*g - 4392. Let i(a) = 8*a**3 - 1308*a**2 + 6184*a - 7320. Let f(d) = 12*c(d) - 7*i(d). Factor f(k).
4*(k - 61)*(k - 3)*(k - 2)
Let c(o) = -49*o + 50. Let k(u) = -u**2 - u + 3. Let m = -219 - -215. Let b(v) = m*c(v) + 4*k(v). Factor b(t).
-4*(t - 47)*(t - 1)
Suppose 2 = -2*j - 8 + 16. Let z(a) be the second derivative of 11*a - 2/3*a**j + 0 - 1/10*a**5 - 1/2*a**4 + 0*a**2. Factor z(f).
-2*f*(f + 1)*(f + 2)
Suppose -2*i = -7 + 1. Factor 3*s**5 - 21*s**4 + 14*s**i - 260 + 251 - 66*s**2 + 40*s**3 + 27*s + 12*s.
3*(s - 3)*(s - 1)**4
Let l be (-3*(-60)/450)/(112/(-250)) + (-8)/(-7). Factor -21/4*z - 5 - l*z**2.
-(z + 1)*(z + 20)/4
Let x(a) be the third derivative of -1/108*a**5 + 0 + 0*a**6 + 2/27*a**3 + 0*a**4 + 59*a**2 + 1/1890*a**7 - a. Find j, given that x(j) = 0.
-2, -1, 1, 2
Let j(v) be the first derivative of v**3 - 75*v - 188 - 9/4*v**4 + 65/2*v**2. Factor j(i).
-(i + 3)*(3*i - 5)**2
Let t(x) be the first derivative of 3*x**4 + 304*x**3/9 + 190*x**2/3 + 112*x/3 + 10304. Suppose t(a) = 0. What is a?
-7, -1, -4/9
Let y = 29 - 30. Let c be (-6 - 0)/y - 4. Factor 147*h**c + 245 + 20*h + 25*h - 142*h**2 + 25*h.
5*(h + 7)**2
Let n(a) be the first derivative of -a**3/15 - 357*a**2/5 - 127449*a/5 + 5935. Let n(g) = 0. What is g?
-357
Let k be (200/700)/(-3 - 86/(-28)) - 1. Suppose -3/8*m**k + 87/8*m**2 - 585/8*m - 675/8 = 0. Calculate m.
-1, 15
Let j(c) be the second derivative of -3*c**5/40 + 7*c**4/8 + 6*c**3 - 135*c**2 + 2*c - 459. Factor j(r).
-3*(r - 6)**2*(r + 5)/2
Solve -4*c**5 + 72*c**4 - 799 + 880*c**2 + 16*c**4 - 436*c**3 + 1055 - 784*c = 0.
1, 2, 16
Let f = 18135 + -55448/3. Let o = f + 348. Find v, given that 0 + o*v**2 + v = 0.
-3, 0
Let g(t) be the first derivative of -2*t**3/3 - 182*t**2 - 720*t - 456. Find h, given that g(h) = 0.
-180, -2
Let v be (9 - (14 + -4)) + 6. Let -16*u + v*u**2 + 12*u - 35 + 17*u + 13*u + 4*u = 0. Calculate u.
-7, 1
Let z(t) be the second derivative of -t**7/504 + t**6/48 - t**5/12 - 4*t**4/3 - t**2 + 9*t + 3. Let f(n) be the third derivative of z(n). Factor f(c).
-5*(c - 2)*(c - 1)
Let l be ((-4)/12)/(-1*3/(-225)). Let o be (l/(-5))/(-15) + 3/3. Let 4/3 - o*b**2 + 2/3*b = 0. Calculate b.
-1, 2
Suppose 4459*q - 4564*q + 210 = 0. Factor 4/17*i**q - 4/17*i**3 + 6/17*i - 6/17*i**4 + 2/17 - 2/17*i**5.
-2*(i - 1)*(i + 1)**4/17
Let u = -6/89149 + 267471/356596. Find q such that q - 1/4*q**3 + u*q**2 - 3 = 0.
-2, 2, 3
Su