 - 3*l. Let m = r - -73. Factor 2/3 + 5/3*o**4 + 17/3*o**m + 7*o**2 + 11/3*o.
(o + 1)**3*(5*o + 2)/3
Let m = -55312 + 387194/7. Determine d so that -m*d**2 + 0*d - 2/7*d**3 + 0 = 0.
-5, 0
Let u(g) be the first derivative of g**5/190 + g**4/57 + g**3/57 + 21*g - 31. Let o(q) be the first derivative of u(q). Factor o(b).
2*b*(b + 1)**2/19
Let s = -17055 - -17058. Find c such that 2/5*c**s + 1/5*c**2 + 0*c + 1/5*c**4 + 0 = 0.
-1, 0
Let a(m) be the third derivative of -1/1890*m**7 - 16*m**2 + 1/90*m**5 + 1/27*m**4 + 0 + 0*m + 1/18*m**3 + 0*m**6. Factor a(q).
-(q - 3)*(q + 1)**3/9
Let f(m) be the third derivative of m**5/120 + m**4/24 + m**3/12 + 2*m**2 - 3. Factor f(i).
(i + 1)**2/2
Let r be -5*(60/(-25))/(-3). Let i(a) = -2*a - 6. Let d be i(r). Factor 1 - 5/4*t + 1/4*t**d.
(t - 4)*(t - 1)/4
Solve 86/5 - 2/5*u + 2/5*u**3 - 86/5*u**2 = 0.
-1, 1, 43
Let r(i) be the third derivative of i**8/4032 + 5*i**7/504 + 25*i**6/144 - i**5/60 + 7*i**2. Let q(k) be the third derivative of r(k). Factor q(y).
5*(y + 5)**2
Let m(i) = i**3 + 74*i**2 + 3*i - 3. Let x(n) = -74*n**2 - 2*n + 2. Let k(p) = -4*m(p) - 6*x(p). Let k(t) = 0. Calculate t.
0, 37
Let y be (0 - -2)*26/(-91)*-14 - 5. Factor 0 + 0*a + 2/9*a**4 - 2/9*a**5 + 0*a**y + 0*a**2.
-2*a**4*(a - 1)/9
Suppose 22 = 2*b - 3*h + 21, -3*h = -4*b + 5. What is j in -15/2*j - 27/4 - 3/4*j**b = 0?
-9, -1
Suppose -2/7*g**2 + 174/7 - 172/7*g = 0. Calculate g.
-87, 1
Suppose k - 5*k + 308 = 4*w, 0 = -k - 4. Determine z so that 27*z**3 - 3*z**4 + 10*z + 41*z - 72 - 90*z**2 + w*z = 0.
2, 3
Let f = 41513/5 - 8302. Find p such that 3/5*p**2 + f*p**4 + 0*p + 0 - 6/5*p**3 = 0.
0, 1
Let y(g) be the first derivative of 2*g**3/3 + 10*g**2 - 22*g - 73. Determine l so that y(l) = 0.
-11, 1
Let o(y) be the third derivative of 1/42*y**7 - 1/12*y**6 + 5/12*y**4 - 1/12*y**5 - 2*y**2 + 0*y**3 + 0 + 0*y. Determine s, given that o(s) = 0.
-1, 0, 1, 2
Suppose -28*n - 2 - 1174 = 0. Let c be (2/15)/((-7)/n). Factor c*w + 0 - 18/5*w**2.
-2*w*(9*w - 2)/5
Let u(s) be the second derivative of -s**9/45360 + s**7/7560 - 3*s**4 - 13*s. Let r(k) be the third derivative of u(k). Factor r(l).
-l**2*(l - 1)*(l + 1)/3
Let z be (-1248)/(-1755)*(-20)/(-16). Let -40/9*j + z - 14/9*j**3 + 46/9*j**2 = 0. Calculate j.
2/7, 1, 2
Let h be (11 + -1)*(22/(-10))/(-11). Let o(i) be the first derivative of -2 - 4/5*i + 4/5*i**h - 4/15*i**3. What is d in o(d) = 0?
1
Let j(d) be the second derivative of 0 + 1/54*d**4 - 1/3*d**2 + 9*d - 2/27*d**3. Factor j(x).
2*(x - 3)*(x + 1)/9
Let q(y) = -y**5 - y**4 - y**3 - y**2 + y + 1. Let f(n) = n**5 - 3*n**4 - 3*n**3 + n**2 - 3*n - 3. Let z = 21 - 15. Let r(v) = z*q(v) + 2*f(v). Factor r(w).
-4*w**2*(w + 1)**3
Let k be (1/3)/(7/(63/9)). Factor 0*w**2 + 0*w**4 + 1/3*w**3 + 0 - k*w**5 + 0*w.
-w**3*(w - 1)*(w + 1)/3
Factor 3*i**3 + 5*i + 6424*i - 5251 - 6293 + 4359*i + 366*i**2 - 11520.
3*(i - 2)*(i + 62)**2
Factor 3*s**3 + 36*s - 21*s**3 + 19*s**3 + 12*s**2.
s*(s + 6)**2
Let f(j) be the second derivative of -j**6/30 + 11*j**5/10 - 12*j**4 + 64*j**3/3 + 512*j**2 + 1099*j. Factor f(a).
-(a - 8)**3*(a + 2)
Let v(t) be the first derivative of -t**6/6 + 2*t**5/5 + t**4/2 - 4*t**3/3 - t**2/2 + 2*t + 82. Let v(k) = 0. What is k?
-1, 1, 2
Let m(k) be the third derivative of k**7/210 + k**6/60 - k**5/3 + k**4 + 35*k**2 + k. Factor m(a).
a*(a - 2)**2*(a + 6)
Factor -16 + 15 - 2 + 3*b**2.
3*(b - 1)*(b + 1)
Let x = -10 - -10. Let b = 188 + -188. Factor 1/3*r**4 + 0*r**2 + x*r + b - 1/3*r**3.
r**3*(r - 1)/3
Suppose 5*a = 35, 4*b - 205 = -5*a - 154. Suppose 3/4*j**b + 2*j**3 + 7/4*j**2 + 1/2*j + 0 = 0. Calculate j.
-1, -2/3, 0
Let q(y) be the second derivative of y**8/26880 + y**7/5040 + y**6/2880 - 2*y**4 - 8*y. Let z(d) be the third derivative of q(d). Factor z(x).
x*(x + 1)**2/4
Suppose 4*o - 3*s = -477, -o - 4*o = s + 601. Let q = o - -604/5. Solve -8/5 - q*c**2 - 12/5*c = 0 for c.
-2, -1
Let j be (-3)/210*-2*(-28)/(-48). Let d(g) be the third derivative of 2/3*g**3 + 0 + j*g**5 - 1/6*g**4 + 2*g**2 + 0*g. Factor d(r).
(r - 2)**2
Let y be (5 + -4)*(72/(-27) - -6). Determine s so that y*s + 2/3*s**3 - 4/3 - 8/3*s**2 = 0.
1, 2
Solve -32/5*c**2 + 2/5*c**5 + 18/5*c + 28/5*c**3 - 4/5 - 12/5*c**4 = 0 for c.
1, 2
Suppose 8*b - 136 = -120. Let p(w) be the second derivative of 2*w + 0 + 1/78*w**4 + 0*w**b - 1/13*w**3. Let p(f) = 0. What is f?
0, 3
Let g be 12/1 + 0/12. Let l be -2*(-1)/6*g. Determine p so that 2*p**3 + 0*p**3 + p**3 + 3*p**l - 3*p - 3*p**2 = 0.
-1, 0, 1
Suppose -5*r + r + 26 = 2*m, 21 = 3*r + 2*m. Let l(g) be the second derivative of 0*g**4 + 3*g + 0*g**2 + 0 + 1/120*g**r - 1/36*g**3. Factor l(y).
y*(y - 1)*(y + 1)/6
Let 0*y - 2/7*y**4 - 8/7*y**3 + 2/7*y**5 + 0 + 8/7*y**2 = 0. What is y?
-2, 0, 1, 2
Let u = 158 - 184. Let d = 26 + u. Find p, given that -1/2*p - 1/2*p**2 + 9/2*p**3 - 11/2*p**4 + 2*p**5 + d = 0.
-1/4, 0, 1
Let k(b) = -20*b**3 - 84*b**2 + 32*b + 48. Let j(x) = -2*x**3 - x**2 + 4*x. Let d(w) = -16*j(w) + k(w). Let d(n) = 0. Calculate n.
-1, 2/3, 6
Let r(n) be the second derivative of -n**7/56 + 7*n**6/72 + 7*n**5/24 - 5*n**4/8 + 5*n**3/2 - 19*n. Let q(v) be the second derivative of r(v). Factor q(j).
-5*(j - 3)*(j + 1)*(3*j - 1)
Let o = -3/131 + 191/2620. Let d(p) be the third derivative of 0*p + 0*p**4 + o*p**5 + 0 + 3*p**2 - 1/2*p**3. Factor d(s).
3*(s - 1)*(s + 1)
Factor -5795*j**2 - j**3 + 189 + 186*j + 5414*j**2 + 8*j**3 - j**3.
3*(j - 63)*(j - 1)*(2*j + 1)
Let b = 390 - 1231/3. Let l = -409/21 - b. Solve 2/7*k - l + 4/7*k**2 = 0 for k.
-3/2, 1
Suppose 285 + 219 = -8*r. Let q be (5 - r/(-7)) + (-29)/(-7). Solve -1/7*o + q*o**2 + 0 = 0 for o.
0, 1
Let j(a) = 7*a - 2. Let z be j(1). Suppose -48*i**2 + z*i**3 + 26*i**2 - 3*i + 20*i**2 - 4*i**3 = 0. What is i?
-1, 0, 3
Let i(b) be the second derivative of -b**7/840 + b**6/480 + b**5/240 - b**4/96 + 19*b**2/2 - 4*b. Let q(c) be the first derivative of i(c). Factor q(z).
-z*(z - 1)**2*(z + 1)/4
Let m = 411 + -409. Suppose 8*t + 2*r = 3*t + 15, 5*r = 0. Factor 4*i - m*i**2 + 5*i**2 - 3*i**2 - 4*i**t.
-4*i*(i - 1)*(i + 1)
Let n(c) be the first derivative of -c**4/20 + 121*c**3/15 - 372*c**2 + 720*c - 154. Factor n(l).
-(l - 60)**2*(l - 1)/5
Let m be 28/16 - 126/(-56). Let n(g) be the second derivative of -10*g - 1/210*g**6 + 0 + 0*g**m + 1/294*g**7 + 0*g**3 + 0*g**2 + 0*g**5. Factor n(s).
s**4*(s - 1)/7
Suppose 3*c**2 - 21 + 1315*c + 24 - 1276*c - 93 = 0. Calculate c.
-15, 2
Let j = 498 - 496. Let z(p) be the first derivative of 47/15*p**3 - 4 - 2/5*p - 11/5*p**4 - 1/10*p**j. Let z(l) = 0. What is l?
-2/11, 1/4, 1
Let s = 119553/5 - 23907. Find x, given that 3/5*x**2 + s*x + 0 = 0.
-6, 0
Let z = -15 + 19. Suppose z*i - 3*i = 7. Factor 4*l**4 - 4*l**2 + 4*l - i*l + 4*l**3 - l.
4*l*(l - 1)*(l + 1)**2
Let n be 3*(-8)/(-36)*3. Suppose -n*s + 4 = -2. What is c in s*c - 8 - 7*c - 4*c - 2*c**2 + 0*c = 0?
-2
Suppose 5*c - 69 = 3*h, -4*c + 6 + 45 = -h. Suppose 0 = -4*m + 20 + c. What is z in 5*z**4 + 7*z**4 - 3*z**3 - 8*z**3 + m*z**3 = 0?
0, 1/4
Let d(m) = -m**2 - 12*m - 7. Let i be d(-11). Let l(v) = -v**2 + 33*v - 197. Let k be l(25). Factor -6*s**i + 0*s - 2/3*s**2 + 4*s**k + 0.
-2*s**2*(3*s - 1)**2/3
Let g(c) = 22*c - 7 + 4*c + 6*c**3 - 10 - 22*c**2 + 4. Let n(a) = 12*a**3 - 44*a**2 + 52*a - 27. Let h(i) = -14*g(i) + 6*n(i). Suppose h(t) = 0. What is t?
1, 5/3
Let u(v) = -2*v**3 - 211*v**2 + 100*v - 618. Let j be u(-106). What is i in 0*i + 0 + 27/2*i**3 + 3*i**2 + 3/2*i**4 - j*i**5 = 0?
-2/3, -1/4, 0, 1
Let z(j) be the third derivative of j**7/42 - j**6/12 - j**5/3 + 5*j**4/12 + 5*j**3/2 + 61*j**2. Suppose z(n) = 0. What is n?
-1, 1, 3
Let l(d) be the third derivative of -d**8/840 + 3*d**7/175 - d**6/10 + 22*d**5/75 - 2*d**4/5 + d**2 + 15. Suppose l(n) = 0. Calculate n.
0, 2, 3
Solve -22*b + 38/5*b**2 - 726/5 - 2/5*b**3 = 0.
-3, 11
Suppose 12*h - 19*h = 105. Let r = -13 - h. Suppose -5/2*x - 2*x**r - 1/2*x**3 - 1 = 0. Calculate x.
-2, -1
Let d(c) = 15*c**3 - 165*c**2 + 360*c + 540. Let s(q) = -5*q**3 + 55*q**2 - 120*q - 180. Let m(v) = -3*d(v) - 10*s(v). Let m(i) = 0. What is i?
-1, 6
Let c(n) be the first derivative of 2*n**5/95 + 5*n**4/19 + 26*n**3/57 - 60*n**2/19 + 72*n/19 + 80. Determine z, given that c(z) = 0.
-6, 1
Let f(k) be the second derivative of 6*k**2 - 