3/5*t**4 - 3/5*t**5 + 0*t + r*t**3 + 0.
-3*t**2*(t - 1)**2*(t + 3)/5
What is w in 1/2*w**3 - 6 + 3/2*w**2 - 2*w = 0?
-3, -2, 2
Let s = -1285 - -314826/245. Let c(t) be the third derivative of 1/140*t**6 - t**2 + 1/1176*t**8 + 0*t + 0*t**4 + 0*t**3 + 1/210*t**5 + s*t**7 + 0. Factor c(i).
2*i**2*(i + 1)**3/7
Suppose 4*l = -49*l + 5*l. Let 8/5*g**2 + 0 + 18*g**5 + l*g - 66/5*g**4 - 8/5*g**3 = 0. What is g?
-1/3, 0, 2/5, 2/3
Let n(g) be the third derivative of g**8/5040 + g**7/126 + 5*g**6/36 + 8*g**5/15 + 2*g**2 - 5*g. Let x(u) be the third derivative of n(u). Factor x(o).
4*(o + 5)**2
Let u(j) = 2*j**3 + 22*j**2 + 26*j + 4. Let p(t) = 16*t**3 + 176*t**2 + 211*t + 34. Let w(a) = 2*p(a) - 17*u(a). Factor w(g).
-2*g*(g + 1)*(g + 10)
Let y be 0 + 0 + (1 + 4 - 10)/(-3). Let -y + 7/6*u - 1/6*u**2 = 0. Calculate u.
2, 5
Let -54/5*l**3 + 72/5*l + 0 + 27/5*l**4 - 3/5*l**5 - 12/5*l**2 = 0. What is l?
-1, 0, 2, 6
Suppose 52 = 8*q - 124. Suppose -q - 5 = -9*l. Let -8/5 - 10*v**2 - 38/5*v**l - 2/5*v**5 - 32/5*v - 14/5*v**4 = 0. What is v?
-2, -1
Factor 0 - 4/7*x + 10/7*x**3 + 18/7*x**2.
2*x*(x + 2)*(5*x - 1)/7
Let q(o) be the third derivative of 0 + 1/20*o**5 + 121/2*o**3 - 18*o**2 - 11/4*o**4 + 0*o. Factor q(i).
3*(i - 11)**2
Suppose -4*t = -19 - 81. Suppose 5*u - u - 14 = -g, -t = -5*u - 5*g. Solve -u*i**2 + 4*i**2 + 0*i**2 + 4 - 3*i - i = 0.
2
Suppose 123*a**4 + 783*a + 414*a**3 + 3*a**5 - 28*a**4 + 894*a**2 - 32*a**4 + 243 = 0. Calculate a.
-9, -1
Let n(j) = 4*j**2 + 7*j - 12. Let f be n(-3). Let a(k) be the first derivative of 4/5*k + f - 2/15*k**3 + 1/5*k**2. What is v in a(v) = 0?
-1, 2
Suppose 157 - 17*z + 162 + 8*z**2 - 476 + 167 - z**3 = 0. Calculate z.
1, 2, 5
Let y(p) be the first derivative of p**6/12 + 2*p**5/5 + p**4/4 - 2*p**3/3 - 3*p**2/4 + 191. Let y(j) = 0. Calculate j.
-3, -1, 0, 1
Suppose -675 = -g - 672, -9 = -3*m + 3*g. What is q in -3/2*q**2 + m*q - 6 = 0?
2
Let x(j) be the first derivative of -j**4/34 - 22*j**3/51 - 24*j**2/17 + 322. Find q such that x(q) = 0.
-8, -3, 0
Let m = 4 - -4. Let z be m + 4 + -2 + -3. Determine b so that b**5 + 5*b**4 + 9*b**3 - b + b + z*b**2 + 2*b = 0.
-2, -1, 0
Let j(n) = n**3 - 5*n + 256. Let u be j(0). Let l = u - 764/3. Solve 4/3*s**3 - 4/3*s + l - 4/3*s**2 = 0.
-1, 1
Let o(b) = b + 7. Let w be o(7). Let 16 - 4*p**3 + 30*p + w*p**3 - 10*p - 46*p**2 = 0. Calculate p.
-2/5, 1, 4
Suppose 13*t - 545 = -493. Let s(z) be the first derivative of 1/2*z**2 + 1/3*z**3 - 1/4*z**t - z - 8. Let s(f) = 0. What is f?
-1, 1
Let n = 2 + -3. Let j be n - 8/((-6)/3). Factor 7*l - 9*l**2 + 2*l**3 + 0*l - l**4 + 3*l**j - 2.
-(l - 2)*(l - 1)**3
Let 3/5*b**2 + 57/5*b + 36 = 0. Calculate b.
-15, -4
Let y(v) be the second derivative of 0*v**2 - 3/100*v**5 + 2/5*v**4 + 12*v + 0 - 2/5*v**3 - 3/50*v**6. Solve y(h) = 0.
-2, 0, 2/3, 1
Let i be (28/6 - 4)*6. Suppose -6*s**2 + 0*s**3 - 4*s + s**3 + 6*s**2 - s**2 + i = 0. Calculate s.
-2, 1, 2
Let o(q) be the second derivative of -q**4/96 - 55*q**3/4 - 27225*q**2/4 - 512*q. Let o(k) = 0. What is k?
-330
Let j(q) be the second derivative of 0*q**3 - 1/39*q**4 + 0*q**2 - 2*q + 0 + 1/130*q**5. Let j(h) = 0. What is h?
0, 2
Let y be 1*10/(-40)*-20. Let w(b) be the second derivative of b + b**2 + 0 - 1/3*b**3 - 1/6*b**4 + 1/10*b**y. Determine a so that w(a) = 0.
-1, 1
Determine a so that -45*a + 21*a - 13*a**4 + 45*a**3 + 3*a**4 + 90*a**2 + 24*a - 5*a**5 = 0.
-3, -2, 0, 3
Suppose 0 = s - 5*h - 7, 4*h = -25*s + 23*s. Factor 4/3*a + 0 + 2/3*a**s.
2*a*(a + 2)/3
Let f(g) = 5*g - 19. Let p be f(7). Find j, given that 4*j**3 + p + 4*j**2 + 16*j + 16*j + 16*j**2 = 0.
-2, -1
Suppose -6*d - 15*d = -42. Let a(x) be the first derivative of 10 - 1/6*x**d + 2/3*x - 1/9*x**3. Factor a(p).
-(p - 1)*(p + 2)/3
Suppose -28*l = 69*l - 5*l - 276. Factor 8/5*f**2 - 8/5*f**4 - 4/5*f**5 + 0 + 4/5*f + 0*f**l.
-4*f*(f - 1)*(f + 1)**3/5
Let r = 124 - 122. Let g be (36/(-12) + 1*4)*r. Factor -2/9*k**3 + 0 + 0*k + 0*k**g.
-2*k**3/9
Factor -223*u**2 + 10*u**2 + 4 - 98*u**2 + 355*u - 54*u**2 + 6.
-5*(u - 1)*(73*u + 2)
Let z be 24/(-12) + 1156/4. Let x = -2003/7 + z. Factor -3*h + 3*h**3 + 6/7*h**2 - x.
3*(h - 1)*(h + 1)*(7*h + 2)/7
Let c(s) = -s**3 + 9*s**2 + 5. Let d(i) = -8*i**2 - 2*i - 4. Let u(n) = 2*c(n) + 3*d(n). Suppose u(b) = 0. Calculate b.
-1
Let t(b) be the third derivative of -b**7/175 - b**6/60 - b**5/150 + b**4/60 - 4*b**2 - 16*b. Solve t(c) = 0.
-1, 0, 1/3
Let z be 1248/520*(-2 + (-26)/(-8)). Factor -3375/4 - 1/4*m**z - 45/4*m**2 - 675/4*m.
-(m + 15)**3/4
Suppose 47 - 37 = 5*z. Let u(r) be the first derivative of -9/7*r**z + 4/7*r - 5/14*r**4 - 5 + 8/7*r**3. Solve u(m) = 0 for m.
2/5, 1
Determine p so that 3*p**2 - 11*p**2 - 4*p**4 - 20*p - 4*p**2 + 20*p**3 + 16 = 0.
-1, 1, 4
Let t be -6*(-1)/2 - (7 - 9). Factor -5*d**2 + 5*d**4 - 5*d**2 + 2*d - 2*d**5 - 7*d + 10*d**3 + 5 - 3*d**t.
-5*(d - 1)**3*(d + 1)**2
Let b(g) be the third derivative of g**7/1575 + g**6/9 - 17*g**5/75 - 5*g**4/9 + 101*g**3/45 + 2*g**2 - 9*g. Suppose b(k) = 0. Calculate k.
-101, -1, 1
What is y in 16/3*y**2 + 0 + 0*y + 46/3*y**3 - 2*y**4 = 0?
-1/3, 0, 8
Suppose -30*z = -6*z. Let s(i) be the third derivative of z - 5/108*i**4 - 1/540*i**6 - 2/27*i**3 - 6*i**2 - 2/135*i**5 + 0*i. Suppose s(v) = 0. What is v?
-2, -1
Let r(v) be the first derivative of -v**6/2 + 3*v**4/2 - 3*v**2/2 - 25. Factor r(o).
-3*o*(o - 1)**2*(o + 1)**2
Let x(p) be the second derivative of -2*p**6/15 - 2*p**5/5 + 4*p**4/3 + 16*p**3/3 + 629*p. Let x(j) = 0. Calculate j.
-2, 0, 2
Solve -1/2 - 1/4*d - 1/4*d**5 + d**2 + 1/2*d**3 - 1/2*d**4 = 0 for d.
-2, -1, 1
Let x(w) be the first derivative of w**5/35 - w**4/21 - 2*w**3/21 + 2*w**2/7 - 7*w - 27. Let q(i) be the first derivative of x(i). Factor q(g).
4*(g - 1)**2*(g + 1)/7
Let w be ((-44)/7)/((-942)/510). Let y = 4/157 + w. Factor 2*c**3 + 0 - 8/7*c - y*c**2.
2*c*(c - 2)*(7*c + 2)/7
Let a(k) be the first derivative of -98*k**5/5 + 119*k**4/9 + 488*k**3/27 + 40*k**2/9 + 385. Factor a(u).
-2*u*(7*u + 2)**2*(9*u - 10)/9
Let i(b) be the second derivative of b**7/210 + 7*b**6/75 + 33*b**5/100 - 230*b. Find g such that i(g) = 0.
-11, -3, 0
Let p(z) be the first derivative of 13*z**3/18 - 59*z**2/3 + 6*z - 156. Find h such that p(h) = 0.
2/13, 18
Suppose -46*i + 198 = -13*i. Let s(m) be the third derivative of 0*m + 7/240*m**i + 5/12*m**4 + 0 + 1/3*m**3 + 23/120*m**5 - 7*m**2. Let s(l) = 0. What is l?
-2, -1, -2/7
Let v = 262/287 + -14/41. Let z(b) be the second derivative of 0 + v*b**2 + 1/42*b**4 - b + 4/21*b**3. Factor z(y).
2*(y + 2)**2/7
Let x be 3/(-2) - (-57)/6. Suppose -p - j - x = j, 2*p - 19 = 3*j. Let -3*h**3 + h**3 + 6*h**p + 2*h**3 + 3*h**3 = 0. What is h?
-2, 0
Let a(v) be the second derivative of -v**5/45 - 19*v**4/54 - v**3/3 + 6*v - 1. Factor a(z).
-2*z*(z + 9)*(2*z + 1)/9
Let v = 2777/1854 - -2/927. Factor -v*x + 3/4*x**3 + 3/4*x**2 + 0.
3*x*(x - 1)*(x + 2)/4
Let a(i) = 3*i**2 - 1. Let x be a(1). Suppose -6746*v = -6766*v. Factor v - 2/3*f + 4/3*f**x.
2*f*(2*f - 1)/3
Let c = 122 + -120. Factor 8*w**2 - w - 5*w - 5*w**c.
3*w*(w - 2)
Suppose 4*w - x = -5*x - 8, 2*x + 10 = 0. Factor -178*z**2 + 187*z**2 + z**3 - w*z**4 - 7*z**3 + 6 + 3*z**3 + 15*z.
-3*(z - 2)*(z + 1)**3
Let r(a) be the first derivative of 9*a**4/4 - 34*a**3/3 - 53*a**2/2 - 10*a + 138. Find v, given that r(v) = 0.
-1, -2/9, 5
Let k be 0/(-4) + 7/49. Let w(z) be the first derivative of 0*z**5 - 1/7*z**4 + 0*z + 1/21*z**6 + k*z**2 + 1 + 0*z**3. Determine g so that w(g) = 0.
-1, 0, 1
Factor 34 - 32*t**2 - 28*t**2 - 61*t**2 + 16*t**2 - 262 - 3*t**3 + 336*t.
-3*(t - 2)*(t - 1)*(t + 38)
Let s(v) be the second derivative of 0 - 1/6*v**4 + 11/18*v**3 - 5*v + 1/60*v**5 - v**2. Let s(u) = 0. Calculate u.
1, 2, 3
Factor -26/3*j + 2/3*j**2 + 80/3.
2*(j - 8)*(j - 5)/3
Let h(d) be the first derivative of d**4/18 + 8*d**3/27 - 11*d**2/9 + 4*d/3 - 107. Factor h(i).
2*(i - 1)**2*(i + 6)/9
Let f(k) = 1497*k - 3. Let b be f(1). Determine g, given that -b*g + 947*g + 1090*g**2 - 4*g**5 + 864 - 580*g**3 + 710*g**2 + 80*g**4 - 1613*g = 0.
1, 6
Let d = -2/2507 + 2511/5014. Let m(z) be the first derivative of -d*z**2 - 1/3*z**3 + 2*z - 5. What is b in m(b) = 0?
-2, 1
Let i(p) be the first derivative of p**5/25 - 2*p**3/15 + p/5 - 113. Let i(z) = 0. Calculate z.