1/2*j**2 - 4/3*j**3 + 7/6*j**4 + 0. Let w(u) be the first derivative of y(u). Factor w(q).
(q - 2)**2*(5*q - 2)
Let f(u) be the first derivative of -187 - 1/26*u**4 - 4800/13*u**2 - 80/13*u**3 - 128000/13*u. Factor f(z).
-2*(z + 40)**3/13
Let z(q) be the third derivative of -q**5/30 - 37*q**4/4 + 226*q**3/3 - 1051*q**2. Factor z(i).
-2*(i - 2)*(i + 113)
Let m be (-4 + (-40)/(-12))*(-222)/(-4). Let k be m/(185/(-16))*(-6)/(-8). Factor 3/5*w**2 + 3/5*w**3 - k*w - 12/5.
3*(w - 2)*(w + 1)*(w + 2)/5
Suppose -2*d = 5*d - 28. Suppose 32*u + 5927 - 5*u**d + 68*u - 25*u**3 - 5847 = 0. What is u?
-4, -2, -1, 2
Let h(s) be the second derivative of s**7/126 + 11*s**6/45 + 6*s**5/5 - 301*s - 2. Factor h(i).
i**3*(i + 4)*(i + 18)/3
Let d(a) be the third derivative of -1/5*a**5 + 13 - a**2 - 28*a**3 + 0*a + 65/6*a**4. Factor d(t).
-4*(t - 21)*(3*t - 2)
Suppose 11/3 + 13*g**2 + 4/3*g**3 - 18*g = 0. What is g?
-11, 1/4, 1
Let h = -15969 + 127755/8. Solve 0 + 1/4*p - 1/8*p**3 - h*p**4 - 1/8*p**5 + 3/8*p**2 = 0 for p.
-2, -1, 0, 1
Solve 364 - 3*p**2 - 1 - 190 + 462*p + 292 = 0 for p.
-1, 155
Let y(z) be the first derivative of -z**5/5 + z**4/12 + 11*z**3/9 + 7*z**2/6 + 996. Solve y(n) = 0 for n.
-1, 0, 7/3
Let -2/5*l**2 - 9*l - 22/5 = 0. Calculate l.
-22, -1/2
Suppose -21*o = -2103 - 690. Factor o*j - 184 - 33*j - 5*j**2 + 30*j + 59.
-5*(j - 25)*(j - 1)
Find y such that 322/3*y**3 + 20/3 + 49/3*y**4 + 164/3*y + 139*y**2 = 0.
-5, -1, -2/7
Let t be ((-9)/(1 - 170/20))/(3/10). Let u(g) be the second derivative of -2*g + 1/17*g**2 - 1/102*g**t + 0*g**3 + 0. Factor u(q).
-2*(q - 1)*(q + 1)/17
Suppose f = -5*r + 49, 2*r + r + f - 31 = 0. What is w in w - 3*w**3 - 3*w + 6*w**2 + 2*w**3 - r*w**2 = 0?
-2, -1, 0
Let i(u) be the second derivative of -u**9/60480 + u**8/26880 + 11*u**4/12 + u**3/6 - u + 98. Let w(g) be the third derivative of i(g). Factor w(q).
-q**3*(q - 1)/4
Suppose 0 = 9*a - 1037 + 1010. Factor 13*s**3 - 20*s**2 - 26 - 8*s**2 + 14*s**a - 17*s**3 - 11*s**3 - 53*s.
-(s + 1)**2*(s + 26)
Let l(g) = -7*g**3 - g**2 + 456*g - 3594. Let x(s) = 15*s**3 + 2*s**2 - 912*s + 7187. Let j(h) = -13*l(h) - 6*x(h). Factor j(q).
(q - 12)**2*(q + 25)
Let x = 229 - 226. Let a = 311/951 + 2/317. Factor w - a*w**4 - w**x + 2/3 - 1/3*w**2.
-(w - 1)*(w + 1)**2*(w + 2)/3
Let r = -23525 + 23525. Factor r - x + 10/3*x**2.
x*(10*x - 3)/3
Let r be 13 - ((-1710)/300)/((-6)/10). Solve -1/2*z**2 - 6 + r*z = 0 for z.
3, 4
Let p(x) = 10*x**3 - 123*x**2 - 737*x + 906. Let v(l) = -5*l**3 + 61*l**2 + 369*l - 457. Let q(y) = -4*p(y) - 7*v(y). Factor q(h).
-5*(h - 17)*(h - 1)*(h + 5)
Let m(b) = -3*b - 36. Let n be m(-12). Suppose f - 6 = v - 3, -3*f + 5*v + 11 = n. What is t in -t**f + t + t + 1 - 2 + 4 = 0?
-1, 3
Let d be (-1 - 2/3 - 61019/(-34868))/((-1)/(-8427)). Factor -1/4*o**2 + 53/2*o - d.
-(o - 53)**2/4
Let l(x) be the third derivative of 4/3*x**3 - 37/18*x**4 + 0*x - 7/144*x**8 + 19 + 73/90*x**5 + 33/40*x**6 - x**2 - 1/9*x**7. Determine p so that l(p) = 0.
-3, -1, 2/7, 2
Let f(x) be the first derivative of -x**3/9 + 41*x**2/6 + 60*x - 1893. Solve f(v) = 0 for v.
-4, 45
Let d(j) = 2*j**2 - 4*j - 14. Let z be d(6). Let h = -29 + z. Factor -165 + 165 + 5*v**5 - 3*v**2 - 2*v**h - 3*v**3 + 3*v**4.
3*v**2*(v - 1)*(v + 1)**2
Find r, given that -705 - 10130*r**2 + 302*r + 10125*r**2 - 52*r = 0.
3, 47
Let o(a) = 354*a**3 - 3539*a**2 + 8819*a + 97. Let c(q) = q**2 - 3*q + 1. Let y(f) = -6*c(f) - 2*o(f). Factor y(t).
-4*(t - 5)**2*(177*t + 2)
Let d(m) be the second derivative of m**4/3 + 190*m**3 - 2312*m**2 + 1538*m. Factor d(l).
4*(l - 4)*(l + 289)
Let r(p) be the second derivative of p**7/357 + 14*p**6/51 + 137*p**5/170 + 2*p**4/3 + 541*p. Factor r(t).
2*t**2*(t + 1)**2*(t + 68)/17
Let g(q) be the first derivative of -9/4*q + 3/4*q**2 + 1/4*q**3 - 15. Factor g(w).
3*(w - 1)*(w + 3)/4
Let a(i) be the third derivative of -13*i**4/24 - 11*i**3/6 - 96*i**2 + 2*i. Let j be a(-1). Factor -9/5*f**j + 6/5*f + 3/5*f**4 + 0 + 0*f**3.
3*f*(f - 1)**2*(f + 2)/5
Let m(d) be the second derivative of 25*d**4/12 - 1260*d**3 - 7585*d**2/2 + 6129*d. Factor m(l).
5*(l + 1)*(5*l - 1517)
Suppose 14*w - 13*w - 4 = 0. Let m be 2/(-6) + 84/36. Factor -4*r - w*r**4 - 4*r**2 + 4*r**3 + 3*r**2 + 5*r**m.
-4*r*(r - 1)**2*(r + 1)
Let h be 616/(-110)*((-154)/(-294) - 1). Find o such that 26/3*o + h + 2*o**2 = 0.
-4, -1/3
Let p(n) be the second derivative of 0*n**2 - 7/110*n**5 - 1/33*n**3 + 4 - 4/33*n**4 - 2*n. Factor p(u).
-2*u*(u + 1)*(7*u + 1)/11
Let o(a) be the second derivative of a**5/210 - 5*a**4/63 - 37*a**3/63 - 26*a**2/21 + 1612*a. Factor o(y).
2*(y - 13)*(y + 1)*(y + 2)/21
Let k(m) = -36*m - 681. Suppose -9*g - 171 = -0*g. Let t be k(g). Let -1/4 + 1/4*c**2 - 1/4*c + 1/4*c**t = 0. What is c?
-1, 1
Let r = -149 + 151. Let a be 1 - -3*1/1. Factor 3*u**5 + 12*u - 6*u**r - 15*u + 6*u**a + 0*u**2.
3*u*(u - 1)*(u + 1)**3
Find n such that 18*n**4 - 2*n - 64*n + 15 + 87*n**3 - 33*n**2 - 21*n = 0.
-5, -1, 1/6, 1
Factor -1/4*z**2 - 465/4 - 79/2*z.
-(z + 3)*(z + 155)/4
Let m(u) be the first derivative of u**6/2 - 42*u**5/5 + 39*u**4 - 66*u**3 + 81*u**2/2 + 2152. Factor m(n).
3*n*(n - 9)*(n - 3)*(n - 1)**2
Let h(g) = 3*g**3 - 3*g. Let n(w) = -8*w**3 + 8*w**2 - 84*w + 180. Let x(p) = 6*h(p) + 2*n(p). Factor x(j).
2*(j - 4)*(j - 3)*(j + 15)
Let r be -1*3*(-8)/12. Let o = -191693 + 575080/3. Find l such that o*l + 1/3*l**r - 2/3 = 0.
-2, 1
Suppose -173*i + 12 = -170*i + 3*y, 4*y - 10 = -2*i. Factor 7/2*u**2 + 1/6*u**4 + 4/3*u**i + 11/3*u + 4/3.
(u + 1)**2*(u + 2)*(u + 4)/6
Let h(x) be the first derivative of 3*x**4/20 + 16*x**3/5 - 6*x**2/5 - 192*x/5 - 815. Factor h(v).
3*(v - 2)*(v + 2)*(v + 16)/5
Let p(o) be the third derivative of -o**5/12 - 2120*o**4/3 - 7191040*o**3/3 - 39*o**2 - 4*o - 1. What is m in p(m) = 0?
-1696
Let c(t) be the first derivative of -40 + 0*t**3 - 1/46*t**4 + 0*t + 0*t**2 + 0*t**5 + 1/69*t**6. Solve c(x) = 0.
-1, 0, 1
Let o(w) = -w**2 - 22*w - 197. Let m be o(-29). Let k be (m/24)/(-1) + -9. Suppose -10/3 - k*v + 5/3*v**2 = 0. Calculate v.
-2/5, 5
Let p(v) = -3*v**2 + 725*v - 27446. Let s be p(47). Let -2/15*w**s + 0 - 8/5*w = 0. Calculate w.
-12, 0
Suppose 4*h + 3*z = 35, 8*h + 2*z - 18 = 6*h. Determine w so that 15 + 5*w - 13*w - h*w**2 + 4*w**2 + 5*w**2 = 0.
3, 5
Let h = 29471/117860 - 3/58930. Let -h - 1/8*w**2 + 3/8*w = 0. Calculate w.
1, 2
Let h(w) be the third derivative of w**6/120 + 13*w**5/15 + 343*w**4/24 - 66*w**3 + 5*w**2 - 4*w - 29. Suppose h(j) = 0. What is j?
-44, -9, 1
Let f = 4792 + -4727. Suppose -8 = -2*a - 2. Determine j, given that -4*j**a + 68*j**2 + f*j + 20 + 23*j**3 + 16*j**3 + 5*j**4 + 7*j**2 = 0.
-4, -1
Let y(f) be the third derivative of -f**6/60 - 43*f**5/10 + 44*f**4 - 532*f**3/3 + 2166*f**2. Factor y(c).
-2*(c - 2)**2*(c + 133)
Let o(a) be the third derivative of 74*a**2 - 1/420*a**5 + 0 - 4/21*a**3 + 1/28*a**4 + 0*a. Determine g, given that o(g) = 0.
2, 4
Let k(u) be the first derivative of u**4/34 - 262*u**3/51 + 259*u**2/17 - 258*u/17 + 2005. Factor k(n).
2*(n - 129)*(n - 1)**2/17
Let y(q) be the first derivative of q**4 + 44*q**3/3 - 80*q**2 + 112*q - 6830. Suppose y(z) = 0. What is z?
-14, 1, 2
Let n(w) be the first derivative of -w**6/300 - w**5/50 - w**4/30 - 28*w**2 - 13. Let c(o) be the second derivative of n(o). Factor c(q).
-2*q*(q + 1)*(q + 2)/5
Suppose -5*t**2 - 1095*t + 505*t - 1160*t = 0. What is t?
-350, 0
Let -3/4*w**2 - 159/4*w - 180 = 0. What is w?
-48, -5
Let f(r) be the second derivative of -r**7/189 + r**6/27 + 136*r**5/45 + 224*r**4/9 + 1646*r. Determine l, given that f(l) = 0.
-8, 0, 21
Let d(p) = p**2 + 2*p. Let m be d(-3). Let v(y) be the first derivative of -3 - y**m + 15 - 153*y + 39*y**2 - 178*y - 176*y. Determine o, given that v(o) = 0.
13
Let x(m) be the first derivative of -7*m**3/6 + m**2/2 + 9*m/2 + 4054. Let x(k) = 0. Calculate k.
-1, 9/7
Let n = -243 - -248. Factor 48*u - n*u**2 + 22 - 140 - 170 + u**2 + 2*u**2.
-2*(u - 12)**2
Factor 6/7 + 0*v**3 - 16/7*v + 12/7*v**2 - 2/7*v**4.
-2*(v - 1)**3*(v + 3)/7
Let i(h) = -h**3 - 12*h**2 + 8*h + 5. Let k be 183/122*(-16)/6. Let q(a) = a**3 + 10*a**2 - 7*a - 4. Let y(n) = k*i(n) - 5*q(n). What is z in y(z) = 0?
-3, 0, 1
Let v(j) be the first derivative of -j**3/6 + 5*j**2 + 525*j/2 - 2240. Fa