or -490*k**3 - 2/15*k**5 + 0*k + 0 + 17150/3*k**2 + 14*k**4.
-2*k**2*(k - 35)**3/15
Let n = 30391/141890 - -1/10135. Let r(q) be the second derivative of 1/14*q**4 + 13*q + n*q**3 - 3/7*q**2 + 0. Suppose r(g) = 0. Calculate g.
-2, 1/2
Let u = -3185 - -3190. Let k(z) be the second derivative of 0*z**2 + 0*z**4 + 0*z**3 - 1/10*z**u + 4*z + 0. Factor k(l).
-2*l**3
Let o(q) be the third derivative of 0*q + 25/6*q**4 - 1/42*q**7 + 0 + 48*q**2 + 35/6*q**3 + 3/2*q**5 + 1/6*q**6. Find f such that o(f) = 0.
-1, 7
Let a be (96/18)/8 + (-325)/(-75) - 5. Factor -3*i**5 - 7/2*i**4 + a*i + 0 + 2*i**3 + 5/2*i**2.
-i**2*(i + 1)**2*(6*i - 5)/2
Factor 164*d - 23378 - 2*d**2 - 20430 + 432*d - 4*d.
-2*(d - 148)**2
Let i(h) = -16 - 5*h - 14 + 12*h - 4*h**2 - h**3 + 0*h**3. Let t be i(-6). Find z, given that 0*z + t*z**4 + 0 + 0*z**3 + 0*z**2 - 3/5*z**5 = 0.
0
Let m = 11717/12 + -2019/4. Let u = m - 471. Let 2/3*f**3 - 2/3*f + u - 2/3*f**2 = 0. Calculate f.
-1, 1
Let q(v) be the second derivative of v**7/42 - 9*v**6/10 + 25*v**5/2 - 75*v**4 + 500*v**3/3 - 798*v. Solve q(a) = 0 for a.
0, 2, 5, 10
Suppose 5*x = 5*r - 5, -5*x + 15 = 3*r - 28. Let c = -24 + 24. What is j in c*j**5 - r*j**2 - 3*j**5 + 50*j**3 - 41*j**3 = 0?
-2, 0, 1
Let g(h) be the third derivative of h**8/1680 - h**7/210 - h**6/72 - 79*h**3/6 - 80*h**2. Let y(c) be the first derivative of g(c). What is k in y(k) = 0?
-1, 0, 5
Factor -3/2*b**2 - 17197494 - 10158*b.
-3*(b + 3386)**2/2
Let n = 28739/4 + -7143. Let u = -827/20 + n. Suppose -3/5*f + 1/5*f**2 + u = 0. Calculate f.
1, 2
Let g be 19 - ((-49)/(-686) - 2453/(-154)). Determine s, given that -1/2*s**g - 361/2*s + 0 - 19*s**2 = 0.
-19, 0
Let l(d) = 571*d**3 - 763*d**2 + 187*d - 3. Let n(x) = -x**3 - x**2 - 2. Let a(r) = -2*l(r) + 4*n(r). Find f such that a(f) = 0.
-1/191, 1/3, 1
Suppose 7225 + 5501 = 664*p - 554. Let m(t) be the third derivative of 0*t + 1/10*t**6 + 0*t**3 - 2/15*t**5 + 0*t**4 - p*t**2 - 2/105*t**7 + 0. Factor m(v).
-4*v**2*(v - 2)*(v - 1)
Let n = -166 - -169. Factor -40*l**2 - 110*l**2 - 44*l**2 - 35*l**2 + 55*l**2 + 3*l**n.
3*l**2*(l - 58)
Suppose 0 = -14*s - 77 + 3003. Let d be 38/s + (810/385 - 2). Find h, given that -d*h**3 + 10/7 - 22/7*h + 2*h**2 = 0.
1, 5
Let u(r) be the third derivative of 308*r**2 - 43/4*r**4 - 12*r**3 + 0*r + 0 - 4/105*r**7 + 31/15*r**5 + 7/60*r**6. Find c such that u(c) = 0.
-4, -1/4, 3
Let u(x) = x**3 + x**2 + x + 2. Suppose -3*b + 2*n = -20, 3*b - 22 = 4*n - 0*n. Let o(t) = 2*t**3 + 30*t**2 - 30*t + 28. Let m(s) = b*u(s) - o(s). Factor m(h).
4*(h - 4)*(h - 1)**2
Let b be ((-612)/952)/(27/(-12)) + 2/140. Let x(s) be the second derivative of -b*s**5 + 39/4*s**4 + 0 - 90*s**3 - 8*s - 150*s**2. Factor x(w).
-3*(w - 10)**2*(2*w + 1)
Suppose -4*r**5 - 77*r - 3311 + 6461 - 211*r - 236*r**3 + 45*r**2 - 60*r**4 - 433*r**2 - 3230 = 0. Calculate r.
-10, -2, -1
Let s(y) be the second derivative of -3*y**5/80 + 23*y**4/8 - 89*y**3/8 + 33*y**2/2 - 54*y + 71. Find w such that s(w) = 0.
1, 44
Let u(y) = -5*y**2 + 1056*y + 1055. Let d(o) = -7*o**2 + 1058*o + 1057. Let m(p) = 3*d(p) - 4*u(p). Find h such that m(h) = 0.
-1049, -1
Let j(s) be the second derivative of -s**7/35 - 23*s**6/150 - s**5/50 + 37*s**4/60 - s**3/5 - 1082*s. Suppose j(i) = 0. What is i?
-3, -2, 0, 1/6, 1
Let i be (-3)/5 - 74/16*(-4)/30. Let g(f) be the third derivative of 9/20*f**4 - 3*f**2 + 0*f + 0 + i*f**6 - 23/150*f**5 - 3/5*f**3. Find h such that g(h) = 0.
3/5, 1, 3
Let f(c) be the third derivative of c**5/150 - 125*c**4/3 + 312500*c**3/3 - 3858*c**2. What is o in f(o) = 0?
1250
Let v(l) = -103*l - 511. Let a be v(-5). Let h(i) be the third derivative of 1/900*i**6 - 1/150*i**5 + 4/45*i**3 + 0 + 0*i - 8*i**2 + 0*i**a. Factor h(x).
2*(x - 2)**2*(x + 1)/15
Suppose -4*i = 4*k - 40, -6*i + 8*i = 0. Let c be k/((-80)/(-24))*10/12. Solve 5*t + c*t**2 - 15/2 = 0.
-3, 1
Let s(b) be the third derivative of b**6/24 - 31*b**5/12 - 85*b**4/12 + 160*b**3/3 + 649*b**2. Factor s(r).
5*(r - 32)*(r - 1)*(r + 2)
Factor 614656/3 + 1/3*b**4 + 54880*b - 70*b**3 + 9457/3*b**2.
(b - 112)**2*(b + 7)**2/3
Let g(c) be the second derivative of -49*c**2 - 1/189*c**7 - 455/9*c**3 - 19/3*c**5 + 96*c - 725/27*c**4 - 1/3*c**6 + 0. Factor g(w).
-2*(w + 1)**3*(w + 21)**2/9
Let o(t) be the second derivative of -t**5/120 - t**4/12 + 5*t**3/12 + 13*t**2/2 + 12*t + 5. Let y(h) be the first derivative of o(h). Factor y(k).
-(k - 1)*(k + 5)/2
Let d(n) be the second derivative of 3*n**5/100 + 109*n**4/20 - 221*n**3/10 + 333*n**2/10 - 19*n - 3. Factor d(i).
3*(i - 1)**2*(i + 111)/5
Let l(u) = -5 - 7*u - 37*u**2 + 2*u + 9 + 1 + 34*u**2. Let b be l(-2). Suppose -2/9*n**4 + 2/9*n**2 + 0 + 0*n + 0*n**b = 0. Calculate n.
-1, 0, 1
Suppose 0 = 109*m - 93*m - 80. Let c(z) be the first derivative of -z**3 + 6 + z**2 + 1/5*z**m + 0*z**4 + 0*z. Find n, given that c(n) = 0.
-2, 0, 1
Find u such that 98 + 11/2*u**2 - 59/2*u**3 + 126*u - 15/2*u**4 - 1/2*u**5 = 0.
-7, -2, -1, 2
Suppose -18*l + 23 - 17 + 30 = 0. Factor -3/4*f**l - 1/2*f + 1/4.
-(f + 1)*(3*f - 1)/4
Let f(w) = -98*w**2 - 536*w - 28. Let j(i) = 100*i**2 + 534*i + 29. Let b(u) = -5*f(u) - 4*j(u). Let b(p) = 0. What is p?
-6, -2/45
Let a(x) = 2*x**3 - 3*x**2 + 2*x - 3. Let j be a(2). Let b be (6/4)/(15/30). Factor -18*f + f + 5*f**3 + 13*f + 3*f**b - 4*f**j.
-4*f*(f - 1)**2*(f + 1)**2
Let i be (21 - 0 - (12 + 14)) + 9. Find w, given that -2*w**2 - w**3 + w + 1/2*w**i + 3/2 = 0.
-1, 1, 3
Let c(m) be the first derivative of -m**6/30 - 2*m**5/15 + m**4/2 + m**2 - 3*m - 11. Let h(t) be the second derivative of c(t). Suppose h(i) = 0. What is i?
-3, 0, 1
Let h be 3 - ((-2 - 6) + 4). Let 8*s**3 - 16*s + 11*s + h*s + 7*s**3 - 5*s**4 + 25*s**2 - 5*s**5 + 8*s = 0. What is s?
-1, 0, 2
Let l(b) be the first derivative of -b**3/30 + 7*b**2/10 - 548. Factor l(v).
-v*(v - 14)/10
Let g(c) = c**3 + 2*c - 1. Let w be g(1). Factor -39*h**w + 10 - 16*h + 44*h**2 - 11*h.
(h - 5)*(5*h - 2)
Let g be (-327 - -341) + (-136)/10. What is h in -76/5*h + 74/5 + g*h**2 = 0?
1, 37
Let y(g) be the first derivative of -g**6/3 - 34*g**5/5 - 101*g**4/2 - 542*g**3/3 - 330*g**2 - 288*g - 1008. What is b in y(b) = 0?
-8, -3, -2, -1
Let i(z) = -21*z**2 + 97*z + 238. Let s(v) = 13*v**2 - v + 1. Let k(f) = -i(f) - 2*s(f). Suppose k(c) = 0. Calculate c.
-16, -3
Suppose -1112*x + 343*x**4 - 535*x**3 + 2278*x + 32*x**4 - 55*x**5 + 165*x**2 - 1116*x = 0. What is x?
-2/11, 0, 1, 5
Factor -y**2 - 198 + 281793*y - 2*y**2 - 281592*y.
-3*(y - 66)*(y - 1)
What is y in 172/7*y + 810/7 + 2/7*y**2 = 0?
-81, -5
Factor 2 - 1/3*p**2 + 5/3*p.
-(p - 6)*(p + 1)/3
Suppose -33*d = -203 - 3790. Factor -26*l**3 + 11*l**3 - 120*l**4 + 26*l**2 + d*l**4.
l**2*(l - 13)*(l - 2)
Let j = 774801/62342 - -3/8906. What is l in -9/7*l**4 - 3*l - 39/7*l**3 - 18/7 + j*l**2 = 0?
-6, -1/3, 1
Let a = 1963/33 - 647/11. Let o(w) be the third derivative of -1/30*w**5 - 7*w**2 + 0*w - 1/4*w**4 - a*w**3 + 0. Factor o(i).
-2*(i + 1)*(i + 2)
Let p(x) be the third derivative of -x**5/100 + 23*x**4/20 + 47*x**3/10 + 57*x**2 + x - 3. Suppose p(k) = 0. What is k?
-1, 47
Let k(x) = 31*x**2 - 1580*x - 1602. Let m(v) = 34*v**2 - 1580*v - 1604. Let j(f) = 10*k(f) - 9*m(f). Suppose j(a) = 0. What is a?
-1, 396
Let n = -8225 - -49351/6. Let t(o) be the third derivative of 1/60*o**5 + 2/3*o**3 + 0*o + 0 + 22*o**2 - n*o**4. Factor t(r).
(r - 2)**2
Factor -2/3*y - 10/3*y**2 + 0.
-2*y*(5*y + 1)/3
Suppose -2*d**3 - 62025 + 6*d**3 + 84084*d - 17285 + 1168*d**2 - 29687 - 63875 = 0. What is d?
-147, 2
Let r(p) be the third derivative of -1/54*p**4 + 1/1080*p**6 + 6*p**2 - 1/180*p**5 + 0*p + 0 + 0*p**3. Factor r(o).
o*(o - 4)*(o + 1)/9
Suppose -628*r**4 + 20 + 56*r**5 + 743*r**2 + 218*r + 1207/2*r**3 = 0. What is r?
-2/7, -1/4, 2, 10
Let n = -1007051/45 - -22379. Let y(k) be the first derivative of -31 + 0*k**2 + 1/27*k**3 + 0*k - 1/12*k**4 - n*k**5. Factor y(i).
-i**2*(i + 1)*(4*i - 1)/9
Let 3201*p + p**4 + 91*p**3 + 3872 + 1352*p + 2202*p**2 + 1431*p = 0. What is p?
-44, -2, -1
Solve 758 + 389*f - 502 - 284*f**2 + 2*f**4 + 19*f**3 - 382 = 0 for f.
-18, 1/2, 1, 7
Let w(l) be the third derivative of l**5/15 - 157*l**4/3 - 1264*l**3/3 + 3092*l**2. Factor w(c).
4*(c - 316)*(c + 2)
Let t(p) be the third derivative of -154 - 2*p**2 + 0*p + 