9 - 944*r**3/9 - 111392*r**2/3 + 57*r - 7. What is t in x(t) = 0?
-236
Factor -2401/4 + 49/2*l - 1/4*l**2.
-(l - 49)**2/4
Let u(c) be the first derivative of -2930*c**3/27 + 1466*c**2/9 - 2*c/9 - 4500. Factor u(r).
-2*(r - 1)*(1465*r - 1)/9
Let n = 79/22 + -12/11. Let k = 25825/2 - 12912. Solve -1/2*w**4 - k*w**5 - 3/2*w**2 + 0 + n*w**3 + 0*w = 0.
-3, 0, 1
Let k be 6/(-4) - (1287/(-78) + 12). Suppose 24/7 - 80/7*h**k + 188/7*h**2 + 148/7*h = 0. What is h?
-2/5, -1/4, 3
Let d(z) be the first derivative of -7 - 22/7*z + 2/21*z**3 - 10/7*z**2. Suppose d(j) = 0. Calculate j.
-1, 11
Let x(f) = -f**3 - f**2 + f + 3. Let b be (-20)/(-30)*18/4. Let j(l) = -5*l**3 - 16*l**2 - 17*l - 22. Let s(t) = b*j(t) + 24*x(t). Factor s(h).
-3*(h + 1)**2*(13*h - 2)
Let z(j) be the third derivative of -j**7/210 + j**6/30 + 7*j**5/60 - 11*j**4/12 - 4*j**3 + 10*j**2 - 7. Let z(p) = 0. Calculate p.
-2, -1, 3, 4
Let z(i) be the second derivative of i**8/6720 - i**7/280 - 11*i**6/360 + i**4/12 - 4*i**3 + 2*i - 4. Let r(p) be the third derivative of z(p). Factor r(f).
f*(f - 11)*(f + 2)
Let i(g) = 39*g**2 + 4*g. Let b(h) = -38*h**2 - 3*h. Let c(d) = -2*d**2 - 4*d - 7. Let w be c(-3). Let f = 6 + w. Let a(k) = f*i(k) - 6*b(k). Factor a(v).
-5*v*(9*v + 2)
Let w(d) be the second derivative of -d**7/1050 - d**6/225 + d**5/50 + 25*d**3/3 - 79*d. Let q(v) be the second derivative of w(v). Factor q(j).
-4*j*(j - 1)*(j + 3)/5
Let o(g) be the first derivative of -3*g**4/8 - 47*g**3/2 - 135*g**2/2 - 11. Let o(i) = 0. What is i?
-45, -2, 0
Let z(r) be the first derivative of -1/25*r**5 + 0*r**2 - 39 + 0*r + 0*r**4 + 1/15*r**3. Find a such that z(a) = 0.
-1, 0, 1
Suppose p = 3*u + 1368, -98 + 556 = -u + p. Let q be (390/u)/(18/(-28)). Find b, given that 0 + 0*b**2 - 2/3*b**4 + 0*b - q*b**3 = 0.
-2, 0
Let o(i) = 2*i**3 - 8*i**2 - 19*i + 80. Let m be o(4). Let j(y) be the second derivative of 0 - 1/18*y**m + 3*y - 2/3*y**2 + 1/3*y**3. What is r in j(r) = 0?
1, 2
Let j(q) be the first derivative of -4*q**3/3 - 330*q**2 + 2016*q + 10136. Factor j(n).
-4*(n - 3)*(n + 168)
Suppose -5*n + 2*n + 28 = 5*x, 3*x + 4*n - 19 = 0. What is c in 671*c**3 - 2*c**5 - 687*c**3 + 16*c**4 - 2*c**x = 0?
0, 2
Let v be ((-3)/18*2)/((-6)/(-108)). Let t be (-2 - v/4)/((-4)/16). What is f in -2/15*f**3 + 2/15*f**t + 0 + 0*f = 0?
0, 1
Let m be 5 - (-16)/(-3) - (-1292)/228. Determine x so that 16*x + 8/3*x**3 - 12*x**2 - m = 0.
1/2, 2
Suppose -58*q - 3*q = 105*q. Let g(p) be the third derivative of 0*p + 0*p**5 + q*p**3 + 0 + 1/30*p**6 + 25*p**2 + 0*p**4. Let g(u) = 0. Calculate u.
0
Suppose 0 = 3*n - 5*s + 7, s - 3 = -5*n + 4. Suppose 1 - d**4 - n + 0 - 35*d**2 - 148*d + 19*d**3 + 165*d = 0. Calculate d.
0, 1, 17
Let s = 789 + -788. Let h be (104/39)/((-21)/(-9) + s). Let -2/5*m**2 - h*m - 2/5 = 0. What is m?
-1
Let t(u) be the first derivative of u**5/10 + 2*u**4/3 - u**3/3 - 4*u**2 - 159*u + 66. Let q(h) be the first derivative of t(h). What is f in q(f) = 0?
-4, -1, 1
Suppose 4*v = -4*s + 344, 5*v + 326 = -2*s + 6*s. Suppose -16*j - 5*j = -s. Let 3/2*b**j + 0 + 0*b**2 + 0*b + 1/2*b**5 - 2*b**3 = 0. Calculate b.
-4, 0, 1
Let p(x) be the first derivative of -x**5/20 - 25*x**4/16 - 143*x**3/12 + 169*x**2/8 + 4961. Suppose p(s) = 0. Calculate s.
-13, 0, 1
Suppose -10*c = 17*c - 81. Determine b, given that -125*b**4 + 182*b**c + 101*b**3 - 53*b**5 + 35*b**5 - 40*b**2 - 27*b**5 - 73*b**3 = 0.
-4, 0, 2/9, 1
Let v(w) be the third derivative of 0*w + 4*w**2 - 5/3*w**3 + 1/15*w**6 + 23/30*w**5 + 7/6*w**4 - 8. Suppose v(d) = 0. What is d?
-5, -1, 1/4
Let r be (-7 - (2 + -6))*1. Let b be (-4)/(-6) - 16/r. Determine h so that 5*h**2 + 51*h**4 + 44*h**4 + 81*h**3 - b*h**3 + 35*h**5 - 10*h = 0.
-1, 0, 2/7
Let g(a) = -a**2 + 11*a + 6. Let y be g(11). Suppose -y*m + 539 = m. Determine p, given that -40*p**3 + p**2 + m*p**4 + 8*p**2 + 2*p**2 - 7*p**2 + 121*p**5 = 0.
-1, 0, 2/11
Let f(z) be the first derivative of z**4/8 + 7*z**3/6 + z**2 - 6*z - 815. Factor f(n).
(n - 1)*(n + 2)*(n + 6)/2
Let d = -140867 - -140869. Factor 2/3*l**d + 1/3*l - 1/3*l**3 - 2/3.
-(l - 2)*(l - 1)*(l + 1)/3
Let t be 2*2 - (-45 + (3 - -2)). Let n(q) be the first derivative of t - 2*q**3 - 13*q**2 - 16*q**2 + 27*q**2 + 2*q. Solve n(i) = 0 for i.
-1, 1/3
Let o = -48723 - -48723. Solve 10/3*w**4 + 22*w**3 + 18*w + o + 42*w**2 = 0.
-3, -3/5, 0
Solve 52 + 178/7*r - 2/7*r**2 = 0.
-2, 91
Determine c, given that -152*c + 536/5*c**2 + 224/5 - 18*c**3 = 0.
2/5, 14/9, 4
Let h(v) be the first derivative of 5/36*v**6 + 575/24*v**4 + 700/3*v**2 - 185 + 490/3*v + 2525/18*v**3 - 25/6*v**5. Solve h(x) = 0.
-1, 14
Let k(w) = w**5 + w**2 - 1. Let n(r) = -2*r**4 + 6*r**2 + 1 + r + 0*r**2 - 5 + 3*r**5. Suppose -173 + 142 = -31*l. Let j(i) = l*n(i) - 4*k(i). Factor j(f).
-f*(f - 1)*(f + 1)**3
Let j(q) = -q**3 + 6*q**2 - 5*q + 3. Let t be j(5). Let x(a) be the first derivative of 1/4*a**4 - 1/3*a**t - 1/2*a**2 + 13 + 0*a + 1/5*a**5. Factor x(d).
d*(d - 1)*(d + 1)**2
Let r = -32 + 35. Solve -11*w**2 - 40*w - 3*w**2 - 2*w**3 - 14*w**2 - 2*w**r = 0.
-5, -2, 0
Suppose -117*f + 118*f = 2*c - 6, -4*f - 24 = 0. Let s(i) be the second derivative of 17*i + c + 0*i**2 + 1/70*i**5 + 0*i**4 - 1/21*i**3. Factor s(w).
2*w*(w - 1)*(w + 1)/7
Let s(m) be the second derivative of m**4/16 - 2107*m**3/8 + 3159*m**2/4 - 6809*m. Factor s(t).
3*(t - 2106)*(t - 1)/4
Let r(l) be the second derivative of -35*l**4/12 + 305*l**3/6 + 225*l**2 - 5*l + 211. Find s such that r(s) = 0.
-9/7, 10
Suppose -2*b - 7*y = 8, 0 = 4*b - y - 4 - 10. Let n(w) be the second derivative of 9/2*w**2 + 21/40*w**5 + 13/4*w**b - 14*w + 0 - 13/4*w**4. Solve n(x) = 0.
-2/7, 1, 3
Let v(f) be the first derivative of f**4/16 - 157*f**3/4 + 73947*f**2/8 - 3869893*f/4 - 2314. Let v(c) = 0. What is c?
157
Let i(r) = -4*r**2 - 5. Let l(z) = -9*z**2 - 138*z + 984. Let y(s) = 3*i(s) - l(s). What is j in y(j) = 0?
9, 37
Let p(o) = -24872*o + 621803. Let w be p(25). Let b = -242/7 + 38. Factor -16/7 - 12/7*g**2 - b*g - 2/7*g**w.
-2*(g + 2)**3/7
Let l(d) be the first derivative of 12*d**3 - 1/2*d**6 + 6*d**4 + 0*d**2 + 10 - 3/5*d**5 + 0*d. Let l(i) = 0. Calculate i.
-2, 0, 3
What is x in 16*x + 337 + 528 + 3*x**3 - 151*x + 18*x**2 - 1015 = 0?
-10, -1, 5
Suppose 12 = 16*q - 20. Let -7*b**2 + 2471*b**3 + 0 - 2466*b**3 + 0 - 3*b**q = 0. What is b?
0, 2
Let u = 1373/26 - 9559/182. Factor u*f**2 + 16/7*f + 2.
2*(f + 1)*(f + 7)/7
Let u be 43/(3612/24)*(14*2)/2. Let z(q) be the third derivative of -2*q**2 + 1/66*q**u + 0*q + 1/110*q**5 + 0*q**3 + 0. Factor z(w).
2*w*(3*w + 2)/11
Suppose 108 = 75*k - 71*k. Suppose -25*s = -k*s. Factor h - 3/2*h**2 + s + 1/2*h**3.
h*(h - 2)*(h - 1)/2
Let m = -2657 - -2659. Let y(s) be the first derivative of -3 + 1/9*s**3 - 2/3*s + 1/6*s**m. Factor y(b).
(b - 1)*(b + 2)/3
Suppose -5*s = -2*u + 31, 2*u + 3*s = 2*s + 1. Let q(h) = -4*h**3 + 159*h**2 + 43*h - 118. Let r be q(40). Factor 2/5*f**4 + 2*f**r + 8/5*f**u + 0 + 4/5*f.
2*f*(f + 1)**2*(f + 2)/5
Suppose 4*q - 2*q + 18 = 2*d, -2*d + 6 = 4*q. Suppose -l - 23 = -5*k - d, 17 = 5*k - 2*l. What is x in 0*x**2 + 0*x - 2/3*x**5 + 0 + 2/3*x**k + 0*x**4 = 0?
-1, 0, 1
Let o(c) be the first derivative of -c**5/60 + c**4/36 + 9*c + 2. Let k(r) be the first derivative of o(r). Factor k(p).
-p**2*(p - 1)/3
Let r = -272735/18 + 15152. Let o(y) be the third derivative of -1/30*y**5 - 1/630*y**7 + 1/90*y**6 - r*y**3 + 0 + 1/18*y**4 + 0*y + 30*y**2. Factor o(a).
-(a - 1)**4/3
Let p(v) = 24*v**2 + 8*v - 10. Let t be p(1). Suppose 0 = f, 3 = 5*h + f - t. Suppose -2/9 - 8/9*d**2 - 8/9*d + 4/9*d**3 + 10/9*d**4 + 4/9*d**h = 0. What is d?
-1, -1/2, 1
Let m(a) be the third derivative of -a**8/448 + 241*a**7/840 - 273*a**6/32 - 10191*a**5/80 - 9245*a**4/48 + 852*a**2. Determine v so that m(v) = 0.
-5, -2/3, 0, 43
Let n be 1/(1/7 - 8/28). Let s = -4 - n. Let 1 + 17*i - 32*i + 4 + 15*i**2 - 5*i**s = 0. What is i?
1
Let j(y) = 9*y**3 + 75*y**2 + 4*y - 9. Let x be j(-7). Find g such that 18*g**2 - x*g + 249*g + 6*g**3 + 248*g - 2*g**4 = 0.
-3, 0, 3
Let c(y) be the second derivative of -y**6/210 + 5*y**5/28 + 53*y**4/84 + 9*y**3/14 + 7*y + 9. Suppose c(q) = 0. Calculate q.
-1, 0, 27
Suppose 4*o = z - o - 25, -5*o - 85 = -4*z. Let v be 1*1*(-2 + 7). Factor -634 + v*u**5 + 634 - z*u**3.
