 = 0.
-11, 0, 1, 12
Suppose -2*r - d = 7, -9*r + 3*d - 33 = -6*r. Let w be -3 + 7/(56/r) - -4. Solve -3/4*n**2 - 3/4*n**3 - 1/4*n - w*n**4 + 0 = 0 for n.
-1, 0
Let x(j) = -j**2 - 3*j - 1. Let l(z) = -5*z**2 - 8*z - 6. Let f = -135 - -136. Let m(t) = f*l(t) - 6*x(t). Factor m(v).
v*(v + 10)
Let k(v) be the third derivative of -v**5/240 - 137*v**4/48 - 18769*v**3/24 + v**2 + 45. Factor k(y).
-(y + 137)**2/4
Let n be (18/(-30))/1 - 288/(-30). Let m be (0 + (-28)/(-21))/(6/n). Factor -48/5*r - 144/5 - 4/5*r**m.
-4*(r + 6)**2/5
Suppose 0 = 2*z - 4*z + 4. Let k be z*-2*48/(-2). Factor -3*a**5 + 0*a**5 - 27*a**4 - k*a**3 - 257*a**2 - 144*a - 48 + 89*a**2.
-3*(a + 1)*(a + 2)**4
Suppose 2*o = -2*n, 4*o + 4 = 9*n - 12*n. Let m = 526/3 + -172. Factor m*w**3 - 20/3*w**2 + 5 - 10/3*w + 5/3*w**n.
5*(w - 1)**2*(w + 1)*(w + 3)/3
Let m = 11164 - 11164. Let n(y) be the third derivative of -2/35*y**7 + m + 1/84*y**8 - 1/15*y**5 + 1/10*y**6 - 18*y**2 + 0*y**3 + 0*y**4 + 0*y. Solve n(b) = 0.
0, 1
Let 2/11*f**4 + 32/11 - 18/11*f**3 + 56/11*f**2 - 72/11*f = 0. Calculate f.
1, 2, 4
Let i = 9932 - 9932. Let u(o) be the first derivative of 5*o**2 - 5/3*o**3 + i*o - 16. What is s in u(s) = 0?
0, 2
Let h(c) = 2*c**2 + 8*c + 4. Let a be 36/(-10) + (-10)/25. Let f be h(a). Find r, given that -4 - 9*r - 2*r**f - 2*r**4 - 21*r**3 - 41*r**2 + 4*r**2 - 15*r = 0.
-2, -1, -1/4
Let w be -2*-2*(-2 - 33/(-12)). Let d be w - (3 + 1/((-4)/8)). Factor -138*r**3 - 9*r**d + 2*r + 24*r**2 + 8*r + 143*r**3.
5*r*(r + 1)*(r + 2)
Let b(n) = 2*n**4 - 128*n**3 + 3174*n**2 - 24339*n. Let t be -5 + 1 + 6 + 8. Let y(f) = 2*f**3 - f. Let a(g) = t*y(g) - 2*b(g). Factor a(s).
-4*s*(s - 23)**3
Factor 54511*c**2 + 12152*c**2 + 60798*c - 7660*c + 654*c**3 - 12873*c**2 + 2*c**4.
2*c*(c + 1)*(c + 163)**2
Let q(r) = 10*r**3 - 7*r**2 + 88*r - 66. Let g(z) = -z**3 - 2*z**2 - 2. Let x(l) = 9*g(l) + q(l). Solve x(k) = 0.
2, 21
Let h(t) = -12*t**3 + 653*t**2 + 108*t + 2. Let y(q) = -51*q**3 + 3264*q**2 + 539*q + 11. Let u(g) = 11*h(g) - 2*y(g). Factor u(b).
-5*b*(b - 22)*(6*b + 1)
Let w(u) be the third derivative of -u**5/5 + 661*u**4/6 + 884*u**3/3 - 4096*u**2. Determine o, given that w(o) = 0.
-2/3, 221
Let x(o) be the third derivative of -o**6/60 - 3*o**5/10 - 11*o**4/12 + 7*o**3 - 7205*o**2. Factor x(r).
-2*(r - 1)*(r + 3)*(r + 7)
Factor -45466347/7 - 3/7*y**2 + 23358/7*y.
-3*(y - 3893)**2/7
What is g in 1836180 + 64282*g**2 - 128552*g**2 + 64275*g**2 + 6060*g = 0?
-606
Let h(f) be the second derivative of 1/63*f**7 + 0*f**3 + 1/30*f**5 + 0*f**4 + 0*f**2 + 2/45*f**6 + 0 - 57*f. Factor h(x).
2*x**3*(x + 1)**2/3
Let g(z) be the second derivative of -11*z**5/120 - z**4/6 + 73*z**3/12 + 5*z**2/3 + 4120*z. Factor g(y).
-(y - 4)*(y + 5)*(11*y + 1)/6
Let w(x) be the first derivative of 0*x**2 + 216/13*x - 6/13*x**3 - 14 + 1/26*x**4. Factor w(h).
2*(h - 6)**2*(h + 3)/13
Let z(s) = s**3 + s**2 + 3*s + 1. Let t(g) = 16*g**3 - 190*g**2 + 412*g + 134. Let j(u) = -t(u) + 2*z(u). Factor j(v).
-2*(v - 11)*(v - 3)*(7*v + 2)
Let u(k) = -2*k**3 - 2*k**2. Let t(o) = -11*o**3 + 230*o**2 + 481*o + 240. Let w(c) = t(c) - 6*u(c). Determine n, given that w(n) = 0.
-240, -1
Let c be (347853/1826)/((-54)/(-8)). Factor 2/9*i**3 + 882 + 910*i + c*i**2.
2*(i + 1)*(i + 63)**2/9
Let m(b) be the second derivative of b**7/378 - 14*b**6/135 + 53*b**5/180 - 13*b**4/54 - 47*b + 106. Let m(y) = 0. What is y?
0, 1, 26
Let z(b) be the first derivative of -16*b**2 - 70 + 4/3*b**3 + 28*b. Factor z(k).
4*(k - 7)*(k - 1)
Let n(l) be the third derivative of -l**5/30 - 5*l**4/3 + 224*l**3/3 + 310*l**2 + 2*l. Solve n(v) = 0.
-28, 8
Let o(a) be the first derivative of 3*a**5/5 + 15*a**4 + 18*a**3 - 30*a**2 - 57*a - 185. Determine q, given that o(q) = 0.
-19, -1, 1
Let a(z) = 2*z - 2. Let h be a(1). Suppose 0 = 6*r - h*r. Factor -4*s + 6*s + r*s - 2*s**2.
-2*s*(s - 1)
Let s be -7 + 5 - (0 + 0). Let i(c) = -5*c**3 + 85*c**2 - 265*c + 235. Let m(p) = 3*p**3 - 43*p**2 + 132*p - 118. Let b(d) = s*i(d) - 5*m(d). Solve b(v) = 0.
2, 3, 4
Let k(o) be the third derivative of o**8/131040 - o**7/8190 - 41*o**5/60 - 22*o**2. Let p(d) be the third derivative of k(d). Factor p(f).
2*f*(f - 4)/13
Let z(c) = 2. Let d(f) be the first derivative of -f**3 + 3*f**2/2 - 4*f + 80. Let l(i) = d(i) + 5*z(i). Factor l(r).
-3*(r - 2)*(r + 1)
Let q(j) be the third derivative of 1/8*j**4 - 1/50*j**5 - 1/200*j**6 + 3/5*j**3 - 15*j**2 + 0*j + 0. Solve q(d) = 0.
-3, -1, 2
Let c be (-5)/(((-3)/30)/((-74)/(-925))). Solve -1/3*m**c + 4/3*m**2 - 2/3*m**3 + 8/3*m + 0 = 0.
-2, 0, 2
Let h be 11845/575 + -21 - (-2)/((-80)/(-106)). What is v in 3/8*v**2 + h*v + 3 = 0?
-4, -2
Let i(g) = -11*g**3 - g**2 - g - 2. Let h be i(-1). Let -3*t**3 + 6*t + 23*t - 29*t + h*t**2 = 0. What is t?
0, 3
Let v(l) be the first derivative of 0*l**2 + 9/35*l**5 - 5/14*l**6 + 3/14*l**4 + 3 + 0*l + 0*l**3. Factor v(w).
-3*w**3*(w - 1)*(5*w + 2)/7
Let j(q) = -3*q**3 - q**2 - q. Let c(y) = -4*y**3 - 178*y**2 - 573*y. Let i(o) = c(o) - 3*j(o). Suppose i(d) = 0. Calculate d.
-3, 0, 38
Let z(x) be the third derivative of 0 + 184*x**2 + 1/360*x**6 + 23/180*x**5 + 25/18*x**3 - 49/72*x**4 + 0*x. Factor z(l).
(l - 1)**2*(l + 25)/3
Find j, given that 90 + 3/2*j**3 - 6*j - 45/2*j**2 = 0.
-2, 2, 15
Let a(q) = -72*q**2 + 58*q**3 - 46*q**3 + 84*q**3 + 33 - 24*q**4. Let j(k) = 3*k**4 - 12*k**3 + 9*k**2 - 4. Let y(w) = -4*a(w) - 33*j(w). Factor y(s).
-3*s**2*(s - 3)*(s - 1)
Let p be ((-2)/15 - (-825)/(-2250))*-4. Let l(m) be the third derivative of -p*m**2 + 0*m**3 + 0*m + 1/18*m**4 + 1/30*m**5 + 0. Factor l(a).
2*a*(3*a + 2)/3
Let p(v) = -8*v**4 + 13*v**3 - 13*v + 5. Let m be ((-11)/(-4) + -2)*4. Let w = -416 - -417. Let r(x) = x**4 - x**3 + x. Let z(q) = m*r(q) + w*p(q). Factor z(i).
-5*(i - 1)**3*(i + 1)
Suppose 4*g + 27 = 5*z - 5, -z + 19 = -5*g. Suppose -t - z*l + 8 = 0, -3*t + 5*l = -2*t + 1. Solve -24/5 - 12*k - 54/5*k**2 - 21/5*k**3 - 3/5*k**t = 0.
-2, -1
Let m = 3887091911/1135 + -3424751. Let w = -4/227 - m. What is i in 2/5*i**3 + 0*i + 0 + w*i**2 = 0?
-1, 0
Suppose -2*c + 3*r + 9 = 13, 0 = -2*r + 8. Suppose w = 2*m + 1, -7*m = -w - c*m. Factor 4/5*x**2 + 0 + 1/5*x**w + 4/5*x.
x*(x + 2)**2/5
What is z in 294*z**2 - 96040/3*z**3 + 52*z + 2/3 = 0?
-1/49, 1/20
Let s(y) be the second derivative of 2*y**6/135 + y**5/45 - 17*y**4/27 + 10*y**3/9 + 447*y. Solve s(w) = 0 for w.
-5, 0, 1, 3
Factor -4/3*b**4 + 0 - 9628*b**2 - 688/3*b**3 + 20184*b.
-4*b*(b - 2)*(b + 87)**2/3
Factor 27/4*h**2 + 0 - 1215/4*h + 39/4*h**3 - 3/4*h**4.
-3*h*(h - 9)**2*(h + 5)/4
Let a(q) = -2*q + 0*q**2 - q + 2*q + 2 + q**2. Let n be a(0). Factor -3/5*l**n + 0 + 12/5*l.
-3*l*(l - 4)/5
Suppose -5*s = -3*s - d, -2*s - 4*d = -10. Let m be 2 - ((-30)/(-42) + s). Let -20/7*a**2 + 0 - 50/7*a - m*a**3 = 0. Calculate a.
-5, 0
Let v = -3667/60 + 245/4. Let w(p) be the first derivative of 1/9*p**6 + v*p**5 + 0*p**3 + 0*p**2 + 0*p**4 - 15 + 0*p. Factor w(f).
2*f**4*(f + 1)/3
Let n(h) be the third derivative of 5*h**5/12 + 25*h**4/8 + 10*h**3/3 + 75*h**2 - h. Let r(l) = 8*l**2 + 24*l + 7. Let u(m) = -3*n(m) + 10*r(m). Factor u(k).
5*(k + 1)*(k + 2)
Let c(i) be the second derivative of -i**5/100 + 1697*i**4/60 - 239701*i**3/10 - 720801*i**2/10 + 4717*i. Find p such that c(p) = 0.
-1, 849
Suppose i - 461*p = -464*p + 19, -4*i + 106 = 18*p. Let 14*h - 19/2*h**i + 6 - 2*h**5 - 12*h**3 + 7/2*h**2 = 0. Calculate h.
-2, -1, -3/4, 1
Let l(u) be the second derivative of -u**4/4 - 462*u**3 + 2778*u**2 + 13032*u. Factor l(a).
-3*(a - 2)*(a + 926)
Let l(o) = -2*o**2 - 42*o - 1. Let x(u) = -u**3 - 4*u**2 + 6*u + 4. Let q be x(-5). Let f(j) = -1. Let v(p) = q*f(p) + l(p). What is z in v(z) = 0?
-21, 0
Let x = -2363938/5 + 472788. Factor x + 0*m**2 + 4/5*m - 4/5*m**3 - 2/5*m**4.
-2*(m - 1)*(m + 1)**3/5
Let f(j) = j**3 - j**2 - 21*j + 1. Let s(m) = -7*m**3 + 192*m**2 - 783*m - 2. Let k(q) = 2*f(q) + s(q). What is i in k(i) = 0?
0, 5, 33
Let a(x) = 4*x**2 - 2*x - 2. Let n be (-7)/9 + 3*(-2)/27. Let j be a(n). Factor 3*r**2 - 8*r**3 + j*r**4 + r**2 - 2*r**2 + 2*r**2.
4*r**2*(r - 1)**2
Let c = 1196/1789 - 10/5367. Factor -c - 2*a**2 + 2/3*a**3 + 2*a.
2*(a - 1)**3/3
Let x(f) = 7*f**2 + 11*f - 6. Let n be x(5). Factor 220*p**2 - 3 - n*p**2 + 3 + 6*p**3 - 2*p**4.
-2*p**2*(p - 2)*(p -